From 5f65232552cb9a9136515a38c8446f682e205c19 Mon Sep 17 00:00:00 2001
From: tacryt-socryp <tacryt.socryp@gmail.com>
Date: Wed, 4 Sep 2024 20:43:08 -0500
Subject: [PATCH 1/3] repl: init

---
 Cargo.lock                   |    13 +
 Cargo.toml                   |     3 +-
 repl/Cargo.toml              |    17 +
 repl/README.md               |    14 +
 repl/bootstrap/choo.jam      |   Bin 0 -> 549760 bytes
 repl/bootstrap/hoon-139.hoon | 14051 +++++++++++++++++++++++++++++++++
 repl/hoon/lib/builder.hoon   |    33 +
 repl/hoon/lib/kernel.hoon    |   441 ++
 repl/hoon/lib/wrapper.hoon   |    89 +
 repl/main.rs                 |    96 +
 10 files changed, 14756 insertions(+), 1 deletion(-)
 create mode 100644 repl/Cargo.toml
 create mode 100644 repl/README.md
 create mode 100644 repl/bootstrap/choo.jam
 create mode 100644 repl/bootstrap/hoon-139.hoon
 create mode 100644 repl/hoon/lib/builder.hoon
 create mode 100644 repl/hoon/lib/kernel.hoon
 create mode 100644 repl/hoon/lib/wrapper.hoon
 create mode 100644 repl/main.rs

diff --git a/Cargo.lock b/Cargo.lock
index bf880cc..415b2e6 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -1397,6 +1397,19 @@ version = "0.8.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "7a66a03ae7c801facd77a29370b4faec201768915ac14a721ba36f20bc9c209b"
 
+[[package]]
+name = "repl"
+version = "0.1.0"
+dependencies = [
+ "bytes",
+ "clap 4.5.16",
+ "crown",
+ "sword",
+ "sword_macros",
+ "tokio",
+ "tracing",
+]
+
 [[package]]
 name = "rustc-demangle"
 version = "0.1.24"
diff --git a/Cargo.toml b/Cargo.toml
index 62c337f..b9631cf 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -1,7 +1,8 @@
 [workspace]
 members = [
     "crown",
-    "choo"
+    "choo",
+    "repl"
 ]
 resolver = "2"
 
diff --git a/repl/Cargo.toml b/repl/Cargo.toml
new file mode 100644
index 0000000..201d173
--- /dev/null
+++ b/repl/Cargo.toml
@@ -0,0 +1,17 @@
+[package]
+name = "repl"
+version.workspace = true
+edition.workspace = true
+
+[dependencies]
+  crown  = { path = "../crown" }
+  sword = { workspace = true }
+  sword_macros = { workspace = true }
+  clap = { workspace = true, features = ["derive", "cargo", "color", "env"]}
+  tokio = { workspace = true }
+  tracing = { workspace = true }
+  bytes = { workspace = true }
+
+[[bin]]
+name = "repl"
+path = "main.rs"
diff --git a/repl/README.md b/repl/README.md
new file mode 100644
index 0000000..3e7c144
--- /dev/null
+++ b/repl/README.md
@@ -0,0 +1,14 @@
+# Choo: compile hoon
+
+To self-bootstrap:
+
+```
+$ cargo build
+$ ../target/debug/choo --new --knob hoon/lib/hoon-139.hoon
+$ mv out.jam hoon-139.jam
+$ ../target/debug/choo --new hoon/lib/kernel.hoon hoon-139.jam
+$ mv out.jam bootstrap/choo.jam
+$ cargo build
+```
+
+You now have a choo executable whose nock was built entirely by choo from Hoon sources.
diff --git a/repl/bootstrap/choo.jam b/repl/bootstrap/choo.jam
new file mode 100644
index 0000000000000000000000000000000000000000..31a41eba49e38e9cc8007546a6952ef121ca18f9
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diff --git a/repl/bootstrap/hoon-139.hoon b/repl/bootstrap/hoon-139.hoon
new file mode 100644
index 0000000..c7aa38d
--- /dev/null
+++ b/repl/bootstrap/hoon-139.hoon
@@ -0,0 +1,14051 @@
+::
+::::    /sys/hoon                                       ::
+  ::                                                    ::
+!.
+=<  ride
+=>  %139  =>
+::                                                      ::
+::::    0: version stub                                 ::
+  ::                                                    ::
+~%  %k.139  ~  ~                                        ::
+|%
+++  hoon-version  +
+--  =>
+~%  %one  +  ~
+::    layer-1
+::
+::  basic mathematical operations
+|%
+::    unsigned arithmetic
++|  %math
+++  add
+  ~/  %add
+  ::    unsigned addition
+  ::
+  ::  a: augend
+  ::  b: addend
+  |=  [a=@ b=@]
+  ::  sum
+  ^-  @
+  ?:  =(0 a)  b
+  $(a (dec a), b +(b))
+::
+++  dec
+  ~/  %dec
+  ::    unsigned decrement by one.
+  |=  a=@
+  ~_  leaf+"decrement-underflow"
+  ?<  =(0 a)
+  =+  b=0
+  ::  decremented integer
+  |-  ^-  @
+  ?:  =(a +(b))  b
+  $(b +(b))
+::
+++  div
+  ~/  %div
+  ::    unsigned divide
+  ::
+  ::  a: dividend
+  ::  b: divisor
+  |:  [a=`@`1 b=`@`1]
+  ::  quotient
+  ^-  @
+  -:(dvr a b)
+::
+++  dvr
+  ~/  %dvr
+  ::    unsigned divide with remainder
+  ::
+  ::  a: dividend
+  ::  b: divisor
+  |:  [a=`@`1 b=`@`1]
+  ::  p: quotient
+  ::  q: remainder
+  ^-  [p=@ q=@]
+  ~_  leaf+"divide-by-zero"
+  ?<  =(0 b)
+  =+  c=0
+  |-
+  ?:  (lth a b)  [c a]
+  $(a (sub a b), c +(c))
+::
+++  gte
+  ~/  %gte
+  ::    unsigned greater than or equals
+  ::
+  ::  returns whether {a >= b}.
+  ::
+  ::  a: left hand operand (todo: name)
+  ::  b: right hand operand
+  |=  [a=@ b=@]
+  ::  greater than or equal to?
+  ^-  ?
+  !(lth a b)
+::
+++  gth
+  ~/  %gth
+  ::    unsigned greater than
+  ::
+  ::  returns whether {a > b}
+  ::
+  ::  a: left hand operand (todo: name)
+  ::  b: right hand operand
+  |=  [a=@ b=@]
+  ::  greater than?
+  ^-  ?
+  !(lte a b)
+::
+++  lte
+  ~/  %lte
+  ::    unsigned less than or equals
+  ::
+  ::  returns whether {a >= b}.
+  ::
+  ::  a: left hand operand (todo: name)
+  ::  b: right hand operand
+  |=  [a=@ b=@]
+  ::  less than or equal to?
+  |(=(a b) (lth a b))
+::
+++  lth
+  ~/  %lth
+  ::    unsigned less than
+  ::
+  ::  a: left hand operand (todo: name)
+  ::  b: right hand operand
+  |=  [a=@ b=@]
+  ::  less than?
+  ^-  ?
+  ?&  !=(a b)
+      |-
+      ?|  =(0 a)
+          ?&  !=(0 b)
+              $(a (dec a), b (dec b))
+  ==  ==  ==
+::
+++  max
+  ~/  %max
+  ::    unsigned maximum
+  |=  [a=@ b=@]
+  ::  the maximum
+  ^-  @
+  ?:  (gth a b)  a
+  b
+::
+++  min
+  ~/  %min
+  ::    unsigned minimum
+  |=  [a=@ b=@]
+  ::  the minimum
+  ^-  @
+  ?:  (lth a b)  a
+  b
+::
+++  mod
+  ~/  %mod
+  ::    unsigned modulus
+  ::
+  ::  a: dividend
+  ::  b: divisor
+  |:  [a=`@`1 b=`@`1]
+  ::  the remainder
+  ^-  @
+  +:(dvr a b)
+::
+++  mul
+  ~/  %mul
+  ::    unsigned multiplication
+  ::
+  ::  a: multiplicand
+  ::  b: multiplier
+  |:  [a=`@`1 b=`@`1]
+  ::  product
+  ^-  @
+  =+  c=0
+  |-
+  ?:  =(0 a)  c
+  $(a (dec a), c (add b c))
+::
+++  sub
+  ~/  %sub
+  ::    unsigned subtraction
+  ::
+  ::  a: minuend
+  ::  b: subtrahend
+  |=  [a=@ b=@]
+  ~_  leaf+"subtract-underflow"
+  ::  difference
+  ^-  @
+  ?:  =(0 b)  a
+  $(a (dec a), b (dec b))
+::
+::    tree addressing
++|  %tree
+++  cap
+  ~/  %cap
+  ::    tree head
+  ::
+  ::  tests whether an `a` is in the head or tail of a noun. produces %2 if it
+  ::  is within the head, or %3 if it is within the tail.
+  |=  a=@
+  ^-  ?(%2 %3)
+  ?-  a
+    %2        %2
+    %3        %3
+    ?(%0 %1)  !!
+    *         $(a (div a 2))
+  ==
+::
+++  mas
+  ~/  %mas
+  ::    axis within head/tail
+  ::
+  ::  computes the axis of `a` within either the head or tail of a noun
+  ::  (depends whether `a` lies within the the head or tail).
+  |=  a=@
+  ^-  @
+  ?-  a
+    ?(%2 %3)  1
+    ?(%0 %1)  !!
+    *         (add (mod a 2) (mul $(a (div a 2)) 2))
+  ==
+::
+++  peg
+  ~/  %peg
+  ::    axis within axis
+  ::
+  ::  computes the axis of {b} within axis {a}.
+  |=  [a=@ b=@]
+  ?<  =(0 a)
+  ::  a composed axis
+  ^-  @
+  ?-  b
+    %1  a
+    %2  (mul a 2)
+    %3  +((mul a 2))
+    *   (add (mod b 2) (mul $(b (div b 2)) 2))
+  ==
+::
+::  #  %containers
+::
+::    the most basic of data types
++|  %containers
+::
++$  bite
+  ::    atom slice specifier
+  ::
+  $@(bloq [=bloq =step])
+::
++$  bloq
+  ::    blocksize
+  ::
+  ::  a blocksize is the power of 2 size of an atom. ie, 3 is a byte as 2^3 is
+  ::  8 bits.
+  @
+::
+++  each
+  |$  [this that]
+  ::    either {a} or {b}, defaulting to {a}.
+  ::
+  ::  mold generator: produces a discriminated fork between two types,
+  ::  defaulting to {a}.
+  ::
+  $%  [%| p=that]
+      [%& p=this]
+  ==
+::
++$  gate
+  ::    function
+  ::
+  ::  a core with one arm, `$`--the empty name--which transforms a sample noun
+  ::  into a product noun. If used dryly as a type, the subject must have a
+  ::  sample type of `*`.
+  $-(* *)
+::
+++  list
+  |$  [item]
+  ::    null-terminated list
+  ::
+  ::  mold generator: produces a mold of a null-terminated list of the
+  ::  homogeneous type {a}.
+  ::
+  $@(~ [i=item t=(list item)])
+::
+++  lone
+  |$  [item]
+  ::    single item tuple
+  ::
+  ::  mold generator: puts the face of `p` on the passed in mold.
+  ::
+  p=item
+::
+++  lest
+  |$  [item]
+  ::    null-terminated non-empty list
+  ::
+  ::  mold generator: produces a mold of a null-terminated list of the
+  ::  homogeneous type {a} with at least one element.
+  [i=item t=(list item)]
+::
++$  mold
+  ::    normalizing gate
+  ::
+  ::  a gate that accepts any noun, and validates its shape, producing the
+  ::  input if it fits or a default value if it doesn't.
+  ::
+  ::  examples: * @ud ,[p=time q=?(%a %b)]
+  $~(* $-(* *))
+::
+++  pair
+  |$  [head tail]
+  ::    dual tuple
+  ::
+  ::  mold generator: produces a tuple of the two types passed in.
+  ::
+  ::  a: first type, labeled {p}
+  ::  b: second type, labeled {q}
+  ::
+  [p=head q=tail]
+::
+++  pole
+  |$  [item]
+  ::    faceless list
+  ::
+  ::  like ++list, but without the faces {i} and {t}.
+  ::
+  $@(~ [item (pole item)])
+::
+++  qual
+  |$  [first second third fourth]
+  ::    quadruple tuple
+  ::
+  ::  mold generator: produces a tuple of the four types passed in.
+  ::
+  [p=first q=second r=third s=fourth]
+::
+++  quip
+  |$  [item state]
+  ::    pair of list of first and second
+  ::
+  ::  a common pattern in hoon code is to return a ++list of changes, along with
+  ::  a new state.
+  ::
+  ::  a: type of list item
+  ::  b: type of returned state
+  ::
+  [(list item) state]
+::
+++  step
+  ::    atom size or offset, in bloqs
+  ::
+  _`@u`1
+::
+++  trap
+  |$  [product]
+  ::    a core with one arm `$`
+  ::
+  _|?($:product)
+::
+++  tree
+  |$  [node]
+  ::    tree mold generator
+  ::
+  ::  a `++tree` can be empty, or contain a node of a type and
+  ::  left/right sub `++tree` of the same type. pretty-printed with `{}`.
+  ::
+  $@(~ [n=node l=(tree node) r=(tree node)])
+::
+++  trel
+  |$  [first second third]
+  ::    triple tuple
+  ::
+  ::  mold generator: produces a tuple of the three types passed in.
+  ::
+  [p=first q=second r=third]
+::
+++  unit
+  |$  [item]
+  ::    maybe
+  ::
+  ::  mold generator: either `~` or `[~ u=a]` where `a` is the
+  ::  type that was passed in.
+  ::
+  $@(~ [~ u=item])
+--  =>
+::
+~%  %two  +  ~
+::    layer-2
+::
+|%
+::    2a: unit logic
++|  %unit-logc
+::
+++  biff                                                ::  apply
+  |*  [a=(unit) b=$-(* (unit))]
+  ?~  a  ~
+  (b u.a)
+::
+++  bind                                                ::  argue
+  |*  [a=(unit) b=gate]
+  ?~  a  ~
+  [~ u=(b u.a)]
+::
+++  bond                                                ::  replace
+  |*  a=(trap)
+  |*  b=(unit)
+  ?~  b  $:a
+  u.b
+::
+++  both                                                ::  all the above
+  |*  [a=(unit) b=(unit)]
+  ?~  a  ~
+  ?~  b  ~
+  [~ u=[u.a u.b]]
+::
+++  clap                                                ::  combine
+  |*  [a=(unit) b=(unit) c=_=>(~ |=(^ +<-))]
+  ?~  a  b
+  ?~  b  a
+  [~ u=(c u.a u.b)]
+::
+++  clef                                                ::  compose
+  |*  [a=(unit) b=(unit) c=_=>(~ |=(^ `+<-))]
+  ?~  a  ~
+  ?~  b  ~
+  (c u.a u.b)
+::
+++  drop                                                ::  enlist
+  |*  a=(unit)
+  ?~  a  ~
+  [i=u.a t=~]
+::
+++  fall                                                ::  default
+  |*  [a=(unit) b=*]
+  ?~(a b u.a)
+::
+++  flit                                                ::  make filter
+  |*  a=$-(* ?)
+  |*  b=*
+  ?.((a b) ~ [~ u=b])
+::
+++  hunt                                                ::  first of units
+  |*  [ord=$-(^ ?) a=(unit) b=(unit)]
+  ^-  %-  unit
+      $?  _?>(?=(^ a) u.a)
+          _?>(?=(^ b) u.b)
+      ==
+  ?~  a  b
+  ?~  b  a
+  ?:((ord u.a u.b) a b)
+::
+++  lift                                                ::  lift mold (fmap)
+  |*  a=mold                                            ::  flipped
+  |*  b=(unit)                                          ::  curried
+  (bind b a)                                            ::  bind
+::
+++  mate                                                ::  choose
+  |*  [a=(unit) b=(unit)]
+  ?~  b  a
+  ?~  a  b
+  ?.(=(u.a u.b) ~>(%mean.'mate' !!) a)
+::
+++  need                                                ::  demand
+  ~/  %need
+  |*  a=(unit)
+  ?~  a  ~>(%mean.'need' !!)
+  u.a
+::
+++  some                                                ::  lift (pure)
+  |*  a=*
+  [~ u=a]
+::
+::    2b: list logic
++|  %list-logic
+::  +snoc: append an element to the end of a list
+::
+++  snoc
+  |*  [a=(list) b=*]
+  (weld a ^+(a [b]~))
+::
+::  +lure: List pURE
+++  lure
+  |*  a=*
+  [i=a t=~]
+::
+++  fand                                                ::  all indices
+  ~/  %fand
+  |=  [nedl=(list) hstk=(list)]
+  =|  i=@ud
+  =|  fnd=(list @ud)
+  |-  ^+  fnd
+  =+  [n=nedl h=hstk]
+  |-
+  ?:  |(?=(~ n) ?=(~ h))
+    (flop fnd)
+  ?:  =(i.n i.h)
+    ?~  t.n
+      ^$(i +(i), hstk +.hstk, fnd [i fnd])
+    $(n t.n, h t.h)
+  ^$(i +(i), hstk +.hstk)
+::
+++  find                                                ::  first index
+  ~/  %find
+  |=  [nedl=(list) hstk=(list)]
+  =|  i=@ud
+  |-   ^-  (unit @ud)
+  =+  [n=nedl h=hstk]
+  |-
+  ?:  |(?=(~ n) ?=(~ h))
+     ~
+  ?:  =(i.n i.h)
+    ?~  t.n
+      `i
+    $(n t.n, h t.h)
+  ^$(i +(i), hstk +.hstk)
+::
+++  flop                                                ::  reverse
+  ~/  %flop
+  |*  a=(list)
+  =>  .(a (homo a))
+  ^+  a
+  =+  b=`_a`~
+  |-
+  ?~  a  b
+  $(a t.a, b [i.a b])
+::
+++  gulf                                                ::  range inclusive
+  |=  [a=@ b=@]
+  ?>  (lte a b)
+  |-  ^-  (list @)
+  ?:(=(a +(b)) ~ [a $(a +(a))])
+::
+++  homo                                                ::  homogenize
+  |*  a=(list)
+  ^+  =<  $
+    |@  ++  $  ?:(*? ~ [i=(snag 0 a) t=$])
+    --
+  a
+::  +join: construct a new list, placing .sep between every pair in .lit
+::
+++  join
+  |*  [sep=* lit=(list)]
+  =.  sep  `_?>(?=(^ lit) i.lit)`sep
+  ?~  lit  ~
+  =|  out=(list _?>(?=(^ lit) i.lit))
+  |-  ^+  out
+  ?~  t.lit
+    (flop [i.lit out])
+  $(out [sep i.lit out], lit t.lit)
+::
+::  +bake: convert wet gate to dry gate by specifying argument mold
+::
+++  bake
+  |*  [f=gate a=mold]
+  |=  arg=a
+  (f arg)
+::
+++  lent                                                ::  length
+  ~/  %lent
+  |=  a=(list)
+  ^-  @
+  =+  b=0
+  |-
+  ?~  a  b
+  $(a t.a, b +(b))
+::
+++  levy
+  ~/  %levy                                             ::  all of
+  |*  [a=(list) b=$-(* ?)]
+  |-  ^-  ?
+  ?~  a  &
+  ?.  (b i.a)  |
+  $(a t.a)
+::
+++  lien                                                ::  some of
+  ~/  %lien
+  |*  [a=(list) b=$-(* ?)]
+  |-  ^-  ?
+  ?~  a  |
+  ?:  (b i.a)  &
+  $(a t.a)
+::
+++  limo                                                ::  listify
+  |*  a=*
+  ^+  =<  $
+    |@  ++  $  ?~(a ~ ?:(*? [i=-.a t=$] $(a +.a)))
+    --
+  a
+::
+++  murn                                                ::  maybe transform
+  ~/  %murn
+  |*  [a=(list) b=$-(* (unit))]
+  =>  .(a (homo a))
+  |-  ^-  (list _?>(?=(^ a) (need (b i.a))))
+  ?~  a  ~
+  =/  c  (b i.a)
+  ?~  c  $(a t.a)
+  [+.c $(a t.a)]
+::
+++  oust                                                ::  remove
+  ~/  %oust
+  |*  [[a=@ b=@] c=(list)]
+  (weld (scag +<-< c) (slag (add +<-< +<->) c))
+::
+++  reap                                                ::  replicate
+  ~/  %reap
+  |*  [a=@ b=*]
+  |-  ^-  (list _b)
+  ?~  a  ~
+  [b $(a (dec a))]
+::
+++  rear                                                ::  last item of list
+  ~/  %rear
+  |*  a=(list)
+  ^-  _?>(?=(^ a) i.a)
+  ?>  ?=(^ a)
+  ?:  =(~ t.a)  i.a  ::NOTE  avoiding tmi
+  $(a t.a)
+::
+++  reel                                                ::  right fold
+  ~/  %reel
+  |*  [a=(list) b=_=>(~ |=([* *] +<+))]
+  |-  ^+  ,.+<+.b
+  ?~  a
+    +<+.b
+  (b i.a $(a t.a))
+::
+++  roll                                                ::  left fold
+  ~/  %roll
+  |*  [a=(list) b=_=>(~ |=([* *] +<+))]
+  |-  ^+  ,.+<+.b
+  ?~  a
+    +<+.b
+  $(a t.a, b b(+<+ (b i.a +<+.b)))
+::
+++  scag                                                ::  prefix
+  ~/  %scag
+  |*  [a=@ b=(list)]
+  |-  ^+  b
+  ?:  |(?=(~ b) =(0 a))  ~
+  [i.b $(b t.b, a (dec a))]
+::
+++  skid                                                ::  separate
+  ~/  %skid
+  |*  [a=(list) b=$-(* ?)]
+  |-  ^+  [p=a q=a]
+  ?~  a  [~ ~]
+  =+  c=$(a t.a)
+  ?:((b i.a) [[i.a p.c] q.c] [p.c [i.a q.c]])
+::
+++  skim                                                ::  only
+  ~/  %skim
+  |*  [a=(list) b=$-(* ?)]
+  |-
+  ^+  a
+  ?~  a  ~
+  ?:((b i.a) [i.a $(a t.a)] $(a t.a))
+::
+++  skip                                                ::  except
+  ~/  %skip
+  |*  [a=(list) b=$-(* ?)]
+  |-
+  ^+  a
+  ?~  a  ~
+  ?:((b i.a) $(a t.a) [i.a $(a t.a)])
+::
+++  slag                                                ::  suffix
+  ~/  %slag
+  |*  [a=@ b=(list)]
+  |-  ^+  b
+  ?:  =(0 a)  b
+  ?~  b  ~
+  $(b t.b, a (dec a))
+::
+++  snag                                                ::  index
+  ~/  %snag
+  |*  [a=@ b=(list)]
+  |-  ^+  ?>(?=(^ b) i.b)
+  ?~  b
+    ~_  leaf+"snag-fail"
+    !!
+  ?:  =(0 a)  i.b
+  $(b t.b, a (dec a))
+::
+++  snip                                                ::  drop tail off list
+  ~/  %snip
+  |*  a=(list)
+  ^+  a
+  ?~  a  ~
+  ?:  =(~ t.a)  ~
+  [i.a $(a t.a)]
+::
+++  sort  !.                                            ::  quicksort
+  ~/  %sort
+  |*  [a=(list) b=$-([* *] ?)]
+  =>  .(a ^.(homo a))
+  |-  ^+  a
+  ?~  a  ~
+  =+  s=(skid t.a |:(c=i.a (b c i.a)))
+  %+  weld
+    $(a p.s)
+  ^+  t.a
+  [i.a $(a q.s)]
+::
+++  spin                                                ::  stateful turn
+  ::
+  ::  a: list
+  ::  b: state
+  ::  c: gate from list-item and state to product and new state
+  ~/  %spin
+  |*  [a=(list) b=* c=_|=(^ [** +<+])]
+  =>  .(c `$-([_?>(?=(^ a) i.a) _b] [_-:(c) _b])`c)
+  =/  acc=(list _-:(c))  ~
+  ::  transformed list and updated state
+  |-  ^-  (pair _acc _b)
+  ?~  a
+    [(flop acc) b]
+  =^  res  b  (c i.a b)
+  $(acc [res acc], a t.a)
+::
+++  spun                                                ::  internal spin
+  ::
+  ::  a: list
+  ::  b: gate from list-item and state to product and new state
+  ~/  %spun
+  |*  [a=(list) b=_|=(^ [** +<+])]
+  ::  transformed list
+  p:(spin a +<+.b b)
+::
+++  swag                                                ::  slice
+  |*  [[a=@ b=@] c=(list)]
+  (scag +<-> (slag +<-< c))
+::  +turn: transform each value of list :a using the function :b
+::
+++  turn
+  ~/  %turn
+  |*  [a=(list) b=gate]
+  =>  .(a (homo a))
+  ^-  (list _?>(?=(^ a) (b i.a)))
+  |-
+  ?~  a  ~
+  [i=(b i.a) t=$(a t.a)]
+::
+++  weld                                                ::  concatenate
+  ~/  %weld
+  |*  [a=(list) b=(list)]
+  =>  .(a ^.(homo a), b ^.(homo b))
+  |-  ^+  b
+  ?~  a  b
+  [i.a $(a t.a)]
+::
+++  snap                                               ::  replace item
+  ~/  %snap
+  |*  [a=(list) b=@ c=*]
+  ^+  a
+  (weld (scag b a) [c (slag +(b) a)])
+::
+++  into                                               ::  insert item
+  ~/  %into
+  |*  [a=(list) b=@ c=*]
+  ^+  a
+  (weld (scag b a) [c (slag b a)])
+::
+++  welp                                                ::  faceless weld
+  ~/  %welp
+  |*  [* *]
+  ?~  +<-
+    +<-(. +<+)
+  +<-(+ $(+<- +<->))
+::
+++  zing                                                ::  promote
+  ~/  %zing
+  |*  *
+  ?~  +<
+    +<
+  (welp +<- $(+< +<+))
+::
+::    2c: bit arithmetic
++|  %bit-arithmetic
+::
+++  bex                                                 ::  binary exponent
+  ~/  %bex
+  |=  a=bloq
+  ^-  @
+  ?:  =(0 a)  1
+  (mul 2 $(a (dec a)))
+::
+++  can                                                 ::  assemble
+  ~/  %can
+  |=  [a=bloq b=(list [p=step q=@])]
+  ^-  @
+  ?~  b  0
+  (add (end [a p.i.b] q.i.b) (lsh [a p.i.b] $(b t.b)))
+::
+++  cat                                                 ::  concatenate
+  ~/  %cat
+  |=  [a=bloq b=@ c=@]
+  (add (lsh [a (met a b)] c) b)
+::
+++  cut                                                 ::  slice
+  ~/  %cut
+  |=  [a=bloq [b=step c=step] d=@]
+  (end [a c] (rsh [a b] d))
+::
+++  end                                                 ::  tail
+  ~/  %end
+  |=  [a=bite b=@]
+  =/  [=bloq =step]  ?^(a a [a *step])
+  (mod b (bex (mul (bex bloq) step)))
+::
+++  fil                                                 ::  fill bloqstream
+  ~/  %fil
+  |=  [a=bloq b=step c=@]
+  =|  n=@ud
+  =.  c  (end a c)
+  =/  d  c
+  |-  ^-  @
+  ?:  =(n b)
+    (rsh a d)
+  $(d (add c (lsh a d)), n +(n))
+::
+++  lsh                                                 ::  left-shift
+  ~/  %lsh
+  |=  [a=bite b=@]
+  =/  [=bloq =step]  ?^(a a [a *step])
+  (mul b (bex (mul (bex bloq) step)))
+::
+++  met                                                 ::  measure
+  ~/  %met
+  |=  [a=bloq b=@]
+  ^-  @
+  =+  c=0
+  |-
+  ?:  =(0 b)  c
+  $(b (rsh a b), c +(c))
+::
+++  rap                                                 ::  assemble variable
+  ~/  %rap
+  |=  [a=bloq b=(list @)]
+  ^-  @
+  ?~  b  0
+  (cat a i.b $(b t.b))
+::
+++  rep                                                 ::  assemble fixed
+  ~/  %rep
+  |=  [a=bite b=(list @)]
+  =/  [=bloq =step]  ?^(a a [a *step])
+  =|  i=@ud
+  |-  ^-  @
+  ?~  b   0
+  %+  add  $(i +(i), b t.b)
+  (lsh [bloq (mul step i)] (end [bloq step] i.b))
+::
+++  rev
+  ::    reverses block order, accounting for leading zeroes
+  ::
+  ::  boz: block size
+  ::  len: size of dat, in boz
+  ::  dat: data to flip
+  ~/  %rev
+  |=  [boz=bloq len=@ud dat=@]
+  ^-  @
+  =.  dat  (end [boz len] dat)
+  %+  lsh
+    [boz (sub len (met boz dat))]
+  (swp boz dat)
+::
+++  rip                                                 ::  disassemble
+  ~/  %rip
+  |=  [a=bite b=@]
+  ^-  (list @)
+  ?:  =(0 b)  ~
+  [(end a b) $(b (rsh a b))]
+::
+++  rsh                                                 ::  right-shift
+  ~/  %rsh
+  |=  [a=bite b=@]
+  =/  [=bloq =step]  ?^(a a [a *step])
+  (div b (bex (mul (bex bloq) step)))
+::
+++  run                                                 ::  +turn into atom
+  ~/  %run
+  |=  [a=bite b=@ c=$-(@ @)]
+  (rep a (turn (rip a b) c))
+::
+++  rut                                                 ::  +turn into list
+  ~/  %rut
+  |*  [a=bite b=@ c=$-(@ *)]
+  (turn (rip a b) c)
+::
+++  sew                                                 ::  stitch into
+  ~/  %sew
+  |=  [a=bloq [b=step c=step d=@] e=@]
+  ^-  @
+  %+  add
+    (can a b^e c^d ~)
+  =/  f  [a (add b c)]
+  (lsh f (rsh f e))
+::
+++  swp                                                 ::  naive rev bloq order
+  ~/  %swp
+  |=  [a=bloq b=@]
+  (rep a (flop (rip a b)))
+::
+++  xeb                                                 ::  binary logarithm
+  ~/  %xeb
+  |=  a=@
+  ^-  @
+  (met 0 a)
+::
+++  fe                                                  ::  modulo bloq
+  |_  a=bloq
+  ++  dif                                               ::  difference
+    |=([b=@ c=@] (sit (sub (add out (sit b)) (sit c))))
+  ++  inv  |=(b=@ (sub (dec out) (sit b)))              ::  inverse
+  ++  net  |=  b=@  ^-  @                               ::  flip byte endianness
+           =>  .(b (sit b))
+           ?:  (lte a 3)
+             b
+           =+  c=(dec a)
+           %+  con
+             (lsh c $(a c, b (cut c [0 1] b)))
+           $(a c, b (cut c [1 1] b))
+  ++  out  (bex (bex a))                                ::  mod value
+  ++  rol  |=  [b=bloq c=@ d=@]  ^-  @                  ::  roll left
+           =+  e=(sit d)
+           =+  f=(bex (sub a b))
+           =+  g=(mod c f)
+           (sit (con (lsh [b g] e) (rsh [b (sub f g)] e)))
+  ++  ror  |=  [b=bloq c=@ d=@]  ^-  @                  ::  roll right
+           =+  e=(sit d)
+           =+  f=(bex (sub a b))
+           =+  g=(mod c f)
+           (sit (con (rsh [b g] e) (lsh [b (sub f g)] e)))
+  ++  sum  |=([b=@ c=@] (sit (add b c)))                ::  wrapping add
+  ++  sit  |=(b=@ (end a b))                            ::  enforce modulo
+  --
+::
+::    2d: bit logic
++|  %bit-logic
+::
+++  con                                                 ::  binary or
+  ~/  %con
+  |=  [a=@ b=@]
+  =+  [c=0 d=0]
+  |-  ^-  @
+  ?:  ?&(=(0 a) =(0 b))  d
+  %=  $
+    a   (rsh 0 a)
+    b   (rsh 0 b)
+    c   +(c)
+    d   %+  add  d
+          %+  lsh  [0 c]
+          ?&  =(0 (end 0 a))
+              =(0 (end 0 b))
+          ==
+  ==
+::
+++  dis                                                 ::  binary and
+  ~/  %dis
+  |=  [a=@ b=@]
+  =|  [c=@ d=@]
+  |-  ^-  @
+  ?:  ?|(=(0 a) =(0 b))  d
+  %=  $
+    a   (rsh 0 a)
+    b   (rsh 0 b)
+    c   +(c)
+    d   %+  add  d
+          %+  lsh  [0 c]
+          ?|  =(0 (end 0 a))
+              =(0 (end 0 b))
+          ==
+  ==
+::
+++  mix                                                 ::  binary xor
+  ~/  %mix
+  |=  [a=@ b=@]
+  ^-  @
+  =+  [c=0 d=0]
+  |-
+  ?:  ?&(=(0 a) =(0 b))  d
+  %=  $
+    a   (rsh 0 a)
+    b   (rsh 0 b)
+    c   +(c)
+    d   (add d (lsh [0 c] =((end 0 a) (end 0 b))))
+  ==
+::
+++  not  |=  [a=bloq b=@ c=@]                           ::  binary not (sized)
+  (mix c (dec (bex (mul b (bex a)))))
+::
+::    2e: insecure hashing
++|  %insecure-hashing
+::
+++  muk                                                 ::  standard murmur3
+  ~%  %muk  ..muk  ~
+  =+  ~(. fe 5)
+  |=  [syd=@ len=@ key=@]
+  =.  syd      (end 5 syd)
+  =/  pad      (sub len (met 3 key))
+  =/  data     (weld (rip 3 key) (reap pad 0))
+  =/  nblocks  (div len 4)  ::  intentionally off-by-one
+  =/  h1  syd
+  =+  [c1=0xcc9e.2d51 c2=0x1b87.3593]
+  =/  blocks  (rip 5 key)
+  =/  i  nblocks
+  =.  h1  =/  hi  h1  |-
+    ?:  =(0 i)  hi
+    =/  k1  (snag (sub nblocks i) blocks)  ::  negative array index
+    =.  k1  (sit (mul k1 c1))
+    =.  k1  (rol 0 15 k1)
+    =.  k1  (sit (mul k1 c2))
+    =.  hi  (mix hi k1)
+    =.  hi  (rol 0 13 hi)
+    =.  hi  (sum (sit (mul hi 5)) 0xe654.6b64)
+    $(i (dec i))
+  =/  tail  (slag (mul 4 nblocks) data)
+  =/  k1    0
+  =/  tlen  (dis len 3)
+  =.  h1
+    ?+  tlen  h1  ::  fallthrough switch
+      %3  =.  k1  (mix k1 (lsh [0 16] (snag 2 tail)))
+          =.  k1  (mix k1 (lsh [0 8] (snag 1 tail)))
+          =.  k1  (mix k1 (snag 0 tail))
+          =.  k1  (sit (mul k1 c1))
+          =.  k1  (rol 0 15 k1)
+          =.  k1  (sit (mul k1 c2))
+          (mix h1 k1)
+      %2  =.  k1  (mix k1 (lsh [0 8] (snag 1 tail)))
+          =.  k1  (mix k1 (snag 0 tail))
+          =.  k1  (sit (mul k1 c1))
+          =.  k1  (rol 0 15 k1)
+          =.  k1  (sit (mul k1 c2))
+          (mix h1 k1)
+      %1  =.  k1  (mix k1 (snag 0 tail))
+          =.  k1  (sit (mul k1 c1))
+          =.  k1  (rol 0 15 k1)
+          =.  k1  (sit (mul k1 c2))
+          (mix h1 k1)
+    ==
+  =.  h1  (mix h1 len)
+  |^  (fmix32 h1)
+  ++  fmix32
+    |=  h=@
+    =.  h  (mix h (rsh [0 16] h))
+    =.  h  (sit (mul h 0x85eb.ca6b))
+    =.  h  (mix h (rsh [0 13] h))
+    =.  h  (sit (mul h 0xc2b2.ae35))
+    =.  h  (mix h (rsh [0 16] h))
+    h
+  --
+::
+++  mug                                                 ::  mug with murmur3
+  ~/  %mug
+  |=  a=*
+  |^  ?@  a  (mum 0xcafe.babe 0x7fff a)
+      =/  b  (cat 5 $(a -.a) $(a +.a))
+      (mum 0xdead.beef 0xfffe b)
+  ::
+  ++  mum
+    |=  [syd=@uxF fal=@F key=@]
+    =/  wyd  (met 3 key)
+    =|  i=@ud
+    |-  ^-  @F
+    ?:  =(8 i)  fal
+    =/  haz=@F  (muk syd wyd key)
+    =/  ham=@F  (mix (rsh [0 31] haz) (end [0 31] haz))
+    ?.(=(0 ham) ham $(i +(i), syd +(syd)))
+  --
+::                                                      ::
+::    2f: noun ordering
++|  %noun-ordering
+::
+::  +aor: alphabetical order
+::
+::    Orders atoms before cells, and atoms in ascending LSB order.
+::
+++  aor
+  ~/  %aor
+  |=  [a=* b=*]
+  ^-  ?
+  ?:  =(a b)  &
+  ?.  ?=(@ a)
+    ?:  ?=(@ b)  |
+    ?:  =(-.a -.b)
+      $(a +.a, b +.b)
+    $(a -.a, b -.b)
+  ?.  ?=(@ b)  &
+  |-
+  =+  [c=(end 3 a) d=(end 3 b)]
+  ?:  =(c d)
+    $(a (rsh 3 a), b (rsh 3 b))
+  (lth c d)
+::  +dor: depth order
+::
+::    Orders in ascending tree depth.
+::
+++  dor
+  ~/  %dor
+  |=  [a=* b=*]
+  ^-  ?
+  ?:  =(a b)  &
+  ?.  ?=(@ a)
+    ?:  ?=(@ b)  |
+    ?:  =(-.a -.b)
+      $(a +.a, b +.b)
+    $(a -.a, b -.b)
+  ?.  ?=(@ b)  &
+  (lth a b)
+::  +gor: mug order
+::
+::    Orders in ascending +mug hash order, collisions fall back to +dor.
+::
+++  gor
+  ~/  %gor
+  |=  [a=* b=*]
+  ^-  ?
+  =+  [c=(mug a) d=(mug b)]
+  ?:  =(c d)
+    (dor a b)
+  (lth c d)
+::  +mor: (more) mug order
+::
+::    Orders in ascending double +mug hash order, collisions fall back to +dor.
+::
+++  mor
+  ~/  %mor
+  |=  [a=* b=*]
+  ^-  ?
+  =+  [c=(mug (mug a)) d=(mug (mug b))]
+  ?:  =(c d)
+    (dor a b)
+  (lth c d)
+::
+::    2g: unsigned powers
++|  %unsigned-powers
+::
+++  pow                                                 ::  unsigned exponent
+  ~/  %pow
+  |=  [a=@ b=@]
+  ?:  =(b 0)  1
+  |-  ?:  =(b 1)  a
+  =+  c=$(b (div b 2))
+  =+  d=(mul c c)
+  ?~  (dis b 1)  d  (mul d a)
+::
+++  sqt                                                 ::  unsigned sqrt/rem
+  ~/  %sqt
+  |=  a=@  ^-  [p=@ q=@]
+  ?~  a  [0 0]
+  =+  [q=(div (dec (xeb a)) 2) r=0]
+  =-  [-.b (sub a +.b)]
+  ^=  b  |-
+  =+  s=(add r (bex q))
+  =+  t=(mul s s)
+  ?:  =(q 0)
+    ?:((lte t a) [s t] [r (mul r r)])
+  ?:  (lte t a)
+    $(r s, q (dec q))
+  $(q (dec q))
+::
+::    2h: set logic
++|  %set-logic
+::
+++  in                                                  ::  set engine
+  ~/  %in
+  =|  a=(tree)  :: (set)
+  |@
+  ++  all                                               ::  logical AND
+    ~/  %all
+    |*  b=$-(* ?)
+    |-  ^-  ?
+    ?~  a
+      &
+    ?&((b n.a) $(a l.a) $(a r.a))
+  ::
+  ++  any                                               ::  logical OR
+    ~/  %any
+    |*  b=$-(* ?)
+    |-  ^-  ?
+    ?~  a
+      |
+    ?|((b n.a) $(a l.a) $(a r.a))
+  ::
+  ++  apt                                               ::  check correctness
+    =<  $
+    ~/  %apt
+    =|  [l=(unit) r=(unit)]
+    |.  ^-  ?
+    ?~  a   &
+    ?&  ?~(l & &((gor n.a u.l) !=(n.a u.l)))
+        ?~(r & &((gor u.r n.a) !=(u.r n.a)))
+        ?~(l.a & ?&((mor n.a n.l.a) !=(n.a n.l.a) $(a l.a, l `n.a)))
+        ?~(r.a & ?&((mor n.a n.r.a) !=(n.a n.r.a) $(a r.a, r `n.a)))
+    ==
+  ::
+  ++  bif                                               ::  splits a by b
+    ~/  %bif
+    |*  b=*
+    ^+  [l=a r=a]
+    =<  +
+    |-  ^+  a
+    ?~  a
+      [b ~ ~]
+    ?:  =(b n.a)
+      a
+    ?:  (gor b n.a)
+      =+  c=$(a l.a)
+      ?>  ?=(^ c)
+      c(r a(l r.c))
+    =+  c=$(a r.a)
+    ?>  ?=(^ c)
+    c(l a(r l.c))
+  ::
+  ++  del                                               ::  b without any a
+    ~/  %del
+    |*  b=*
+    |-  ^+  a
+    ?~  a
+      ~
+    ?.  =(b n.a)
+      ?:  (gor b n.a)
+        a(l $(a l.a))
+      a(r $(a r.a))
+    |-  ^-  [$?(~ _a)]
+    ?~  l.a  r.a
+    ?~  r.a  l.a
+    ?:  (mor n.l.a n.r.a)
+      l.a(r $(l.a r.l.a))
+    r.a(l $(r.a l.r.a))
+  ::
+  ++  dif                                               ::  difference
+    ~/  %dif
+    |*  b=_a
+    |-  ^+  a
+    ?~  b
+      a
+    =+  c=(bif n.b)
+    ?>  ?=(^ c)
+    =+  d=$(a l.c, b l.b)
+    =+  e=$(a r.c, b r.b)
+    |-  ^-  [$?(~ _a)]
+    ?~  d  e
+    ?~  e  d
+    ?:  (mor n.d n.e)
+      d(r $(d r.d))
+    e(l $(e l.e))
+  ::
+  ++  dig                                               ::  axis of a in b
+    |=  b=*
+    =+  c=1
+    |-  ^-  (unit @)
+    ?~  a  ~
+    ?:  =(b n.a)  [~ u=(peg c 2)]
+    ?:  (gor b n.a)
+      $(a l.a, c (peg c 6))
+    $(a r.a, c (peg c 7))
+  ::
+  ++  gas                                               ::  concatenate
+    ~/  %gas
+    |=  b=(list _?>(?=(^ a) n.a))
+    |-  ^+  a
+    ?~  b
+      a
+    $(b t.b, a (put i.b))
+  ::  +has: does :b exist in :a?
+  ::
+  ++  has
+    ~/  %has
+    |*  b=*
+    ^-  ?
+    ::    wrap extracted item type in a unit because bunting fails
+    ::
+    ::  If we used the real item type of _?^(a n.a !!) as the sample type,
+    ::  then hoon would bunt it to create the default sample for the gate.
+    ::
+    ::  However, bunting that expression fails if :a is ~. If we wrap it
+    ::  in a unit, the bunted unit doesn't include the bunted item type.
+    ::
+    ::  This way we can ensure type safety of :b without needing to perform
+    ::  this failing bunt. It's a hack.
+    ::
+    %.  [~ b]
+    |=  b=(unit _?>(?=(^ a) n.a))
+    =>  .(b ?>(?=(^ b) u.b))
+    |-  ^-  ?
+    ?~  a
+      |
+    ?:  =(b n.a)
+      &
+    ?:  (gor b n.a)
+      $(a l.a)
+    $(a r.a)
+  ::
+  ++  int                                               ::  intersection
+    ~/  %int
+    |*  b=_a
+    |-  ^+  a
+    ?~  b
+      ~
+    ?~  a
+      ~
+    ?.  (mor n.a n.b)
+      $(a b, b a)
+    ?:  =(n.b n.a)
+      a(l $(a l.a, b l.b), r $(a r.a, b r.b))
+    ?:  (gor n.b n.a)
+      %-  uni(a $(a l.a, r.b ~))  $(b r.b)
+    %-  uni(a $(a r.a, l.b ~))  $(b l.b)
+  ::
+  ++  put                                               ::  puts b in a, sorted
+    ~/  %put
+    |*  b=*
+    |-  ^+  a
+    ?~  a
+      [b ~ ~]
+    ?:  =(b n.a)
+      a
+    ?:  (gor b n.a)
+      =+  c=$(a l.a)
+      ?>  ?=(^ c)
+      ?:  (mor n.a n.c)
+        a(l c)
+      c(r a(l r.c))
+    =+  c=$(a r.a)
+    ?>  ?=(^ c)
+    ?:  (mor n.a n.c)
+      a(r c)
+    c(l a(r l.c))
+  ::
+  ++  rep                                               ::  reduce to product
+    ~/  %rep
+    |*  b=_=>(~ |=([* *] +<+))
+    |-
+    ?~  a  +<+.b
+    $(a r.a, +<+.b $(a l.a, +<+.b (b n.a +<+.b)))
+  ::
+  ++  run                                               ::  apply gate to values
+    ~/  %run
+    |*  b=gate
+    =+  c=`(set _?>(?=(^ a) (b n.a)))`~
+    |-  ?~  a  c
+    =.  c  (~(put in c) (b n.a))
+    =.  c  $(a l.a, c c)
+    $(a r.a, c c)
+  ::
+  ++  tap                                               ::  convert to list
+    =<  $
+    ~/  %tap
+    =+  b=`(list _?>(?=(^ a) n.a))`~
+    |.  ^+  b
+    ?~  a
+      b
+    $(a r.a, b [n.a $(a l.a)])
+  ::
+  ++  uni                                               ::  union
+    ~/  %uni
+    |*  b=_a
+    ?:  =(a b)  a
+    |-  ^+  a
+    ?~  b
+      a
+    ?~  a
+      b
+    ?:  =(n.b n.a)
+      b(l $(a l.a, b l.b), r $(a r.a, b r.b))
+    ?:  (mor n.a n.b)
+      ?:  (gor n.b n.a)
+        $(l.a $(a l.a, r.b ~), b r.b)
+      $(r.a $(a r.a, l.b ~), b l.b)
+    ?:  (gor n.a n.b)
+      $(l.b $(b l.b, r.a ~), a r.a)
+    $(r.b $(b r.b, l.a ~), a l.a)
+  ::
+  ++  wyt                                               ::  size of set
+    =<  $
+    ~%  %wyt  +  ~
+    |.  ^-  @
+    ?~(a 0 +((add $(a l.a) $(a r.a))))
+  --
+::
+::    2i: map logic
++|  %map-logic
+::
+++  by                                                  ::  map engine
+  ~/  %by
+  =|  a=(tree (pair))  ::  (map)
+  |@
+  ++  all                                               ::  logical AND
+    ~/  %all
+    |*  b=$-(* ?)
+    |-  ^-  ?
+    ?~  a
+      &
+    ?&((b q.n.a) $(a l.a) $(a r.a))
+  ::
+  ++  any                                               ::  logical OR
+    ~/  %any
+    |*  b=$-(* ?)
+    |-  ^-  ?
+    ?~  a
+      |
+    ?|((b q.n.a) $(a l.a) $(a r.a))
+  ::
+  ++  bif                                               ::  splits a by b
+    ~/  %bif
+    |*  [b=* c=*]
+    ^+  [l=a r=a]
+    =<  +
+    |-  ^+  a
+    ?~  a
+      [[b c] ~ ~]
+    ?:  =(b p.n.a)
+      ?:  =(c q.n.a)
+        a
+      a(n [b c])
+    ?:  (gor b p.n.a)
+      =+  d=$(a l.a)
+      ?>  ?=(^ d)
+      d(r a(l r.d))
+    =+  d=$(a r.a)
+    ?>  ?=(^ d)
+    d(l a(r l.d))
+  ::
+  ++  del                                               ::  delete at key b
+    ~/  %del
+    |*  b=*
+    |-  ^+  a
+    ?~  a
+      ~
+    ?.  =(b p.n.a)
+      ?:  (gor b p.n.a)
+        a(l $(a l.a))
+      a(r $(a r.a))
+    |-  ^-  [$?(~ _a)]
+    ?~  l.a  r.a
+    ?~  r.a  l.a
+    ?:  (mor p.n.l.a p.n.r.a)
+      l.a(r $(l.a r.l.a))
+    r.a(l $(r.a l.r.a))
+  ::
+  ++  dif                                               ::  difference
+    ~/  %dif
+    |*  b=_a
+    |-  ^+  a
+    ?~  b
+      a
+    =+  c=(bif p.n.b q.n.b)
+    ?>  ?=(^ c)
+    =+  d=$(a l.c, b l.b)
+    =+  e=$(a r.c, b r.b)
+    |-  ^-  [$?(~ _a)]
+    ?~  d  e
+    ?~  e  d
+    ?:  (mor p.n.d p.n.e)
+      d(r $(d r.d))
+    e(l $(e l.e))
+  ::
+  ++  dig                                               ::  axis of b key
+    |=  b=*
+    =+  c=1
+    |-  ^-  (unit @)
+    ?~  a  ~
+    ?:  =(b p.n.a)  [~ u=(peg c 2)]
+    ?:  (gor b p.n.a)
+      $(a l.a, c (peg c 6))
+    $(a r.a, c (peg c 7))
+  ::
+  ++  apt                                               ::  check correctness
+    =<  $
+    ~/  %apt
+    =|  [l=(unit) r=(unit)]
+    |.  ^-  ?
+    ?~  a   &
+    ?&  ?~(l & &((gor p.n.a u.l) !=(p.n.a u.l)))
+        ?~(r & &((gor u.r p.n.a) !=(u.r p.n.a)))
+        ?~  l.a   &
+        &((mor p.n.a p.n.l.a) !=(p.n.a p.n.l.a) $(a l.a, l `p.n.a))
+        ?~  r.a   &
+        &((mor p.n.a p.n.r.a) !=(p.n.a p.n.r.a) $(a r.a, r `p.n.a))
+    ==
+  ::
+  ++  gas                                               ::  concatenate
+    ~/  %gas
+    |*  b=(list [p=* q=*])
+    =>  .(b `(list _?>(?=(^ a) n.a))`b)
+    |-  ^+  a
+    ?~  b
+      a
+    $(b t.b, a (put p.i.b q.i.b))
+  ::
+  ++  get                                               ::  grab value by key
+    ~/  %get
+    |*  b=*
+    =>  .(b `_?>(?=(^ a) p.n.a)`b)
+    |-  ^-  (unit _?>(?=(^ a) q.n.a))
+    ?~  a
+      ~
+    ?:  =(b p.n.a)
+      (some q.n.a)
+    ?:  (gor b p.n.a)
+      $(a l.a)
+    $(a r.a)
+  ::
+  ++  got                                               ::  need value by key
+    |*  b=*
+    (need (get b))
+  ::
+  ++  gut                                               ::  fall value by key
+    |*  [b=* c=*]
+    (fall (get b) c)
+  ::
+  ++  has                                               ::  key existence check
+    ~/  %has
+    |*  b=*
+    !=(~ (get b))
+  ::
+  ++  int                                               ::  intersection
+    ~/  %int
+    |*  b=_a
+    |-  ^+  a
+    ?~  b
+      ~
+    ?~  a
+      ~
+    ?:  (mor p.n.a p.n.b)
+      ?:  =(p.n.b p.n.a)
+        b(l $(a l.a, b l.b), r $(a r.a, b r.b))
+      ?:  (gor p.n.b p.n.a)
+        %-  uni(a $(a l.a, r.b ~))  $(b r.b)
+      %-  uni(a $(a r.a, l.b ~))  $(b l.b)
+    ?:  =(p.n.a p.n.b)
+      b(l $(b l.b, a l.a), r $(b r.b, a r.a))
+    ?:  (gor p.n.a p.n.b)
+      %-  uni(a $(b l.b, r.a ~))  $(a r.a)
+    %-  uni(a $(b r.b, l.a ~))  $(a l.a)
+  ::
+  ++  jab
+    ~/  %jab
+    |*  [key=_?>(?=(^ a) p.n.a) fun=$-(_?>(?=(^ a) q.n.a) _?>(?=(^ a) q.n.a))]
+    ^+  a
+    ::
+    ?~  a  !!
+    ::
+    ?:  =(key p.n.a)
+      a(q.n (fun q.n.a))
+    ::
+    ?:  (gor key p.n.a)
+      a(l $(a l.a))
+    ::
+    a(r $(a r.a))
+  ::
+  ++  mar                                               ::  add with validation
+    |*  [b=* c=(unit *)]
+    ?~  c
+      (del b)
+    (put b u.c)
+  ::
+  ++  put                                               ::  adds key-value pair
+    ~/  %put
+    |*  [b=* c=*]
+    |-  ^+  a
+    ?~  a
+      [[b c] ~ ~]
+    ?:  =(b p.n.a)
+      ?:  =(c q.n.a)
+        a
+      a(n [b c])
+    ?:  (gor b p.n.a)
+      =+  d=$(a l.a)
+      ?>  ?=(^ d)
+      ?:  (mor p.n.a p.n.d)
+        a(l d)
+      d(r a(l r.d))
+    =+  d=$(a r.a)
+    ?>  ?=(^ d)
+    ?:  (mor p.n.a p.n.d)
+      a(r d)
+    d(l a(r l.d))
+  ::
+  ++  rep                                               ::  reduce to product
+    ~/  %rep
+    |*  b=_=>(~ |=([* *] +<+))
+    |-
+    ?~  a  +<+.b
+    $(a r.a, +<+.b $(a l.a, +<+.b (b n.a +<+.b)))
+  ::
+  ++  rib                                               ::  transform + product
+    |*  [b=* c=gate]
+    |-  ^+  [b a]
+    ?~  a  [b ~]
+    =+  d=(c n.a b)
+    =.  n.a  +.d
+    =+  e=$(a l.a, b -.d)
+    =+  f=$(a r.a, b -.e)
+    [-.f a(l +.e, r +.f)]
+  ::
+  ++  run                                               ::  apply gate to values
+    ~/  %run
+    |*  b=gate
+    |-
+    ?~  a  a
+    [n=[p=p.n.a q=(b q.n.a)] l=$(a l.a) r=$(a r.a)]
+  ::
+  ++  rut                                               ::  apply gate to nodes
+    |*  b=gate
+    |-
+    ?~  a  a
+    [n=[p=p.n.a q=(b p.n.a q.n.a)] l=$(a l.a) r=$(a r.a)]
+  ::
+  ++  tap                                               ::  listify pairs
+    =<  $
+    ~/  %tap
+    =+  b=`(list _?>(?=(^ a) n.a))`~
+    |.  ^+  b
+    ?~  a
+      b
+    $(a r.a, b [n.a $(a l.a)])
+  ::
+  ++  uni                                               ::  union, merge
+    ~/  %uni
+    |*  b=_a
+    |-  ^+  a
+    ?~  b
+      a
+    ?~  a
+      b
+    ?:  =(p.n.b p.n.a)
+      b(l $(a l.a, b l.b), r $(a r.a, b r.b))
+    ?:  (mor p.n.a p.n.b)
+      ?:  (gor p.n.b p.n.a)
+        $(l.a $(a l.a, r.b ~), b r.b)
+      $(r.a $(a r.a, l.b ~), b l.b)
+    ?:  (gor p.n.a p.n.b)
+      $(l.b $(b l.b, r.a ~), a r.a)
+    $(r.b $(b r.b, l.a ~), a l.a)
+  ::
+  ++  uno                                               ::  general union
+    |*  b=_a
+    |*  meg=$-([* * *] *)
+    |-  ^+  a
+    ?~  b
+      a
+    ?~  a
+      b
+    ?:  =(p.n.b p.n.a)
+      :+  [p.n.a `_?>(?=(^ a) q.n.a)`(meg p.n.a q.n.a q.n.b)]
+        $(b l.b, a l.a)
+      $(b r.b, a r.a)
+    ?:  (mor p.n.a p.n.b)
+      ?:  (gor p.n.b p.n.a)
+        $(l.a $(a l.a, r.b ~), b r.b)
+      $(r.a $(a r.a, l.b ~), b l.b)
+    ?:  (gor p.n.a p.n.b)
+      $(l.b $(b l.b, r.a ~), a r.a)
+    $(r.b $(b r.b, l.a ~), a l.a)
+  ::
+  ++  urn                                               ::  apply gate to nodes
+    ~/  %urn
+    |*  b=$-([* *] *)
+    |-
+    ?~  a  ~
+    a(n n.a(q (b p.n.a q.n.a)), l $(a l.a), r $(a r.a))
+  ::
+  ++  wyt                                               ::  depth of map
+    =<  $
+    ~%  %wyt  +  ~
+    |.  ^-  @
+    ?~(a 0 +((add $(a l.a) $(a r.a))))
+  ::
+  ++  key                                               ::  set of keys
+    =<  $
+    ~/  %key
+    =+  b=`(set _?>(?=(^ a) p.n.a))`~
+    |.  ^+  b
+    ?~  a   b
+    $(a r.a, b $(a l.a, b (~(put in b) p.n.a)))
+  ::
+  ++  val                                               ::  list of vals
+    =+  b=`(list _?>(?=(^ a) q.n.a))`~
+    |-  ^+  b
+    ?~  a   b
+    $(a r.a, b [q.n.a $(a l.a)])
+  --
+::
+::    2j: jar and jug logic
++|  %jar-and-jug-logic
+++  ja                                                  ::  jar engine
+  =|  a=(tree (pair * (list)))  ::  (jar)
+  |@
+  ++  get                                               ::  gets list by key
+    |*  b=*
+    =+  c=(~(get by a) b)
+    ?~(c ~ u.c)
+  ::
+  ++  add                                               ::  adds key-list pair
+    |*  [b=* c=*]
+    =+  d=(get b)
+    (~(put by a) b [c d])
+  --
+++  ju                                                  ::  jug engine
+  =|  a=(tree (pair * (tree)))  ::  (jug)
+  |@
+  ++  del                                               ::  del key-set pair
+    |*  [b=* c=*]
+    ^+  a
+    =+  d=(get b)
+    =+  e=(~(del in d) c)
+    ?~  e
+      (~(del by a) b)
+    (~(put by a) b e)
+  ::
+  ++  gas                                               ::  concatenate
+    |*  b=(list [p=* q=*])
+    =>  .(b `(list _?>(?=([[* ^] ^] a) [p=p q=n.q]:n.a))`b)
+    |-  ^+  a
+    ?~  b
+      a
+    $(b t.b, a (put p.i.b q.i.b))
+  ::
+  ++  get                                               ::  gets set by key
+    |*  b=*
+    =+  c=(~(get by a) b)
+    ?~(c ~ u.c)
+  ::
+  ++  has                                               ::  existence check
+    |*  [b=* c=*]
+    ^-  ?
+    (~(has in (get b)) c)
+  ::
+  ++  put                                               ::  add key-set pair
+    |*  [b=* c=*]
+    ^+  a
+    =+  d=(get b)
+    (~(put by a) b (~(put in d) c))
+  --
+::
+::    2k: queue logic
++|  %queue-logic
+::
+++  to                                                  ::  queue engine
+  =|  a=(tree)  ::  (qeu)
+  |@
+  ++  apt                                               ::  check correctness
+    |-  ^-  ?
+    ?~  a  &
+    ?&  ?~(l.a & ?&((mor n.a n.l.a) $(a l.a)))
+        ?~(r.a & ?&((mor n.a n.r.a) $(a r.a)))
+    ==
+  ::
+  ++  bal
+    |-  ^+  a
+    ?~  a  ~
+    ?.  |(?=(~ l.a) (mor n.a n.l.a))
+      $(a l.a(r $(a a(l r.l.a))))
+    ?.  |(?=(~ r.a) (mor n.a n.r.a))
+      $(a r.a(l $(a a(r l.r.a))))
+    a
+  ::
+  ++  dep                                               ::  max depth of queue
+    |-  ^-  @
+    ?~  a  0
+    +((max $(a l.a) $(a r.a)))
+  ::
+  ++  gas                                               ::  insert list to que
+    |=  b=(list _?>(?=(^ a) n.a))
+    |-  ^+  a
+    ?~(b a $(b t.b, a (put i.b)))
+  ::
+  ++  get                                               ::  head-rest pair
+    |-  ^+  ?>(?=(^ a) [p=n.a q=*(tree _n.a)])
+    ?~  a
+      !!
+    ?~  r.a
+      [n.a l.a]
+    =+  b=$(a r.a)
+    :-  p.b
+    ?:  |(?=(~ q.b) (mor n.a n.q.b))
+      a(r q.b)
+    a(n n.q.b, l a(r l.q.b), r r.q.b)
+  ::
+  ++  nip                                               ::  removes root
+    |-  ^+  a
+    ?~  a  ~
+    ?~  l.a  r.a
+    ?~  r.a  l.a
+    ?:  (mor n.l.a n.r.a)
+      l.a(r $(l.a r.l.a))
+    r.a(l $(r.a l.r.a))
+  ::
+  ++  nap                                               ::  removes root
+    ?>  ?=(^ a)
+    ?:  =(~ l.a)  r.a
+    =+  b=get(a l.a)
+    bal(n.a p.b, l.a q.b)
+  ::
+  ++  put                                               ::  insert new tail
+    |*  b=*
+    |-  ^+  a
+    ?~  a
+      [b ~ ~]
+    bal(l.a $(a l.a))
+  ::
+  ++  tap                                               ::  adds list to end
+    =+  b=`(list _?>(?=(^ a) n.a))`~
+    |-  ^+  b
+    =+  0                                               ::  hack for jet match
+    ?~  a
+      b
+    $(a r.a, b [n.a $(a l.a)])
+  ::
+  ++  top                                               ::  produces head
+    |-  ^-  (unit _?>(?=(^ a) n.a))
+    ?~  a  ~
+    ?~(r.a [~ n.a] $(a r.a))
+  --
+::
+::    2l: container from container
++|  %container-from-container
+::
+++  malt                                                ::  map from list
+  |*  a=(list)
+  (molt `(list [p=_-<.a q=_->.a])`a)
+::
+++  molt                                                ::  map from pair list
+  |*  a=(list (pair))  ::  ^-  =,(i.-.a (map _p _q))
+  (~(gas by `(tree [p=_p.i.-.a q=_q.i.-.a])`~) a)
+::
+++  silt                                                ::  set from list
+  |*  a=(list)  ::  ^-  (set _i.-.a)
+  =+  b=*(tree _?>(?=(^ a) i.a))
+  (~(gas in b) a)
+::
+::    2m: container from noun
++|  %container-from-noun
+::
+++  ly                                                  ::  list from raw noun
+  le:nl
+::
+++  my                                                  ::  map from raw noun
+  my:nl
+::
+++  sy                                                  ::  set from raw noun
+  si:nl
+::
+++  nl
+  |%
+  ::                                                    ::
+  ++  le                                                ::  construct list
+    |*  a=(list)
+    ^+  =<  $
+      |@  ++  $  ?:(*? ~ [i=(snag 0 a) t=$])
+      --
+    a
+  ::                                                    ::
+  ++  my                                                ::  construct map
+    |*  a=(list (pair))
+    =>  .(a ^+((le a) a))
+    (~(gas by `(map _p.i.-.a _q.i.-.a)`~) a)
+  ::                                                    ::
+  ++  si                                                ::  construct set
+    |*  a=(list)
+    =>  .(a ^+((le a) a))
+    (~(gas in `(set _i.-.a)`~) a)
+  ::                                                    ::
+  ++  snag                                              ::  index
+    |*  [a=@ b=(list)]
+    ?~  b
+      ~_  leaf+"snag-fail"
+      !!
+    ?:  =(0 a)  i.b
+    $(b t.b, a (dec a))
+  ::                                                    ::
+  ++  weld                                              ::  concatenate
+    |*  [a=(list) b=(list)]
+    =>  .(a ^+((le a) a), b ^+((le b) b))
+    =+  42
+    |-
+    ?~  a  b
+    [i=i.a t=$(a t.a)]
+  --
+::    2n: functional hacks
++|  %functional-hacks
+::
+++  aftr  |*(a=$-(* *) |*(b=$-(* *) (pair b a)))        ::  pair after
+++  cork  |*([a=$-(* *) b=$-(* *)] (corl b a))          ::  compose forward
+++  corl                                                ::  compose backwards
+  |*  [a=$-(* *) b=$-(* *)]
+  =<  +:|.((a (b)))      ::  type check
+  |*  c=_+<.b
+  (a (b c))
+::
+++  cury                                                ::  curry left
+  |*  [a=$-(^ *) b=*]
+  |*  c=_+<+.a
+  (a b c)
+::
+++  curr                                                ::  curry right
+  |*  [a=$-(^ *) c=*]
+  |*  b=_+<+.a
+  (a b c)
+::
+++  fore  |*(a=$-(* *) |*(b=$-(* *) (pair a b)))        ::  pair before
+::
+++  head  |*(^ ,:+<-)                                   ::  get head
+++  same  |*(* +<)                                      ::  identity
+::
+++  succ  |=(@ +(+<))                                   ::  successor
+::
+++  tail  |*(^ ,:+<+)                                   ::  get tail
+++  test  |=(^ =(+<- +<+))                              ::  equality
+::
+++  lead  |*(* |*(* [+>+< +<]))                         ::  put head
+++  late  |*(* |*(* [+< +>+<]))                         ::  put tail
+::
+::    2o: containers
++|  %containers
+++  jar  |$  [key value]  (map key (list value))        ::  map of lists
+++  jug  |$  [key value]  (map key (set value))         ::  map of sets
+::
+++  map
+  |$  [key value]                                       ::  table
+  $|  (tree (pair key value))
+  |=(a=(tree (pair)) ?:(=(~ a) & ~(apt by a)))
+::
+++  qeu
+  |$  [item]                                            ::  queue
+  $|  (tree item)
+  |=(a=(tree) ?:(=(~ a) & ~(apt to a)))
+::
+++  set
+  |$  [item]                                            ::  set
+  $|  (tree item)
+  |=(a=(tree) ?:(=(~ a) & ~(apt in a)))
+::
+::    2p: serialization
++|  %serialization
+::
+++  cue                                                 ::  unpack
+  ~/  %cue
+  |=  a=@
+  ^-  *
+  =+  b=0
+  =+  m=`(map @ *)`~
+  =<  q
+  |-  ^-  [p=@ q=* r=(map @ *)]
+  ?:  =(0 (cut 0 [b 1] a))
+    =+  c=(rub +(b) a)
+    [+(p.c) q.c (~(put by m) b q.c)]
+  =+  c=(add 2 b)
+  ?:  =(0 (cut 0 [+(b) 1] a))
+    =+  u=$(b c)
+    =+  v=$(b (add p.u c), m r.u)
+    =+  w=[q.u q.v]
+    [(add 2 (add p.u p.v)) w (~(put by r.v) b w)]
+  =+  d=(rub c a)
+  [(add 2 p.d) (need (~(get by m) q.d)) m]
+::
+++  jam                                                 ::  pack
+  ~/  %jam
+  |=  a=*
+  ^-  @
+  =+  b=0
+  =+  m=`(map * @)`~
+  =<  q
+  |-  ^-  [p=@ q=@ r=(map * @)]
+  =+  c=(~(get by m) a)
+  ?~  c
+    =>  .(m (~(put by m) a b))
+    ?:  ?=(@ a)
+      =+  d=(mat a)
+      [(add 1 p.d) (lsh 0 q.d) m]
+    =>  .(b (add 2 b))
+    =+  d=$(a -.a)
+    =+  e=$(a +.a, b (add b p.d), m r.d)
+    [(add 2 (add p.d p.e)) (mix 1 (lsh [0 2] (cat 0 q.d q.e))) r.e]
+  ?:  ?&(?=(@ a) (lte (met 0 a) (met 0 u.c)))
+    =+  d=(mat a)
+    [(add 1 p.d) (lsh 0 q.d) m]
+  =+  d=(mat u.c)
+  [(add 2 p.d) (mix 3 (lsh [0 2] q.d)) m]
+::
+++  mat                                                 ::  length-encode
+  ~/  %mat
+  |=  a=@
+  ^-  [p=@ q=@]
+  ?:  =(0 a)
+    [1 1]
+  =+  b=(met 0 a)
+  =+  c=(met 0 b)
+  :-  (add (add c c) b)
+  (cat 0 (bex c) (mix (end [0 (dec c)] b) (lsh [0 (dec c)] a)))
+::
+++  rub                                                 ::  length-decode
+  ~/  %rub
+  |=  [a=@ b=@]
+  ^-  [p=@ q=@]
+  =+  ^=  c
+      =+  [c=0 m=(met 0 b)]
+      |-  ?<  (gth c m)
+      ?.  =(0 (cut 0 [(add a c) 1] b))
+        c
+      $(c +(c))
+  ?:  =(0 c)
+    [1 0]
+  =+  d=(add a +(c))
+  =+  e=(add (bex (dec c)) (cut 0 [d (dec c)] b))
+  [(add (add c c) e) (cut 0 [(add d (dec c)) e] b)]
+::
+++  fn  ::    float, infinity, or NaN
+        ::
+        ::  s=sign, e=exponent, a=arithmetic form
+        ::  (-1)^s * a * 2^e
+        $%  [%f s=? e=@s a=@u]
+            [%i s=?]
+            [%n ~]
+        ==
+::
+++  dn  ::    decimal float, infinity, or NaN
+        ::
+        ::  (-1)^s * a * 10^e
+        $%  [%d s=? e=@s a=@u]
+            [%i s=?]
+            [%n ~]
+        ==
+::
+++  rn  ::    parsed decimal float
+        ::
+        $%  [%d a=? b=[c=@ [d=@ e=@] f=? i=@]]
+            [%i a=?]
+            [%n ~]
+        ==
+::
+::    2q: molds and mold builders
++|  %molds-and-mold-builders
+::
++$  axis  @                                             ::  tree address
++$  bean  ?                                             ::  0=&=yes, 1=|=no
++$  flag  ?
++$  char  @t                                            ::  UTF8 byte
++$  cord  @t                                            ::  UTF8, LSB first
++$  byts  [wid=@ud dat=@]                               ::  bytes, MSB first
++$  date  [[a=? y=@ud] m=@ud t=tarp]                    ::  parsed date
++$  knot  @ta                                           ::  ASCII text
++$  noun  *                                             ::  any noun
++$  path  (list knot)                                   ::  like unix path
++$  pith  (list iota)                                   ::  typed urbit path
++$  stud                                                ::  standard name
+          $@  mark=@tas                                 ::  auth=urbit
+          $:  auth=@tas                                 ::  standards authority
+              type=path                                 ::  standard label
+          ==                                            ::
++$  tang  (list tank)                                   ::  bottom-first error
+::                                                      ::
++$  iota                                                ::  typed path segment
+  $~  [%n ~]
+  $@  @tas
+  $%  [%ub @ub]  [%uc @uc]  [%ud @ud]  [%ui @ui]
+      [%ux @ux]  [%uv @uv]  [%uw @uw]
+      [%sb @sb]  [%sc @sc]  [%sd @sd]  [%si @si]
+      [%sx @sx]  [%sv @sv]  [%sw @sw]
+      [%da @da]  [%dr @dr]
+      [%f ?]     [%n ~]
+      [%if @if]  [%is @is]
+      [%t @t]    [%ta @ta]  ::  @tas
+      [%p @p]    [%q @q]
+      [%rs @rs]  [%rd @rd]  [%rh @rh]  [%rq @rq]
+  ==
+::
+::  $tank: formatted print tree
+::
+::    just a cord, or
+::    %leaf: just a tape
+::    %palm: backstep list
+::           flat-mid, open, flat-open, flat-close
+::    %rose: flat list
+::           flat-mid, open, close
+::
++$  tank
+  $~  leaf/~
+  $@  cord
+  $%  [%leaf p=tape]
+      [%palm p=(qual tape tape tape tape) q=(list tank)]
+      [%rose p=(trel tape tape tape) q=(list tank)]
+  ==
+::
++$  tape  (list @tD)                                    ::  utf8 string as list
++$  tour  (list @c)                                     ::  utf32 clusters
++$  tarp  [d=@ud h=@ud m=@ud s=@ud f=(list @ux)]        ::  parsed time
++$  term  @tas                                          ::  ascii symbol
++$  wain  (list cord)                                   ::  text lines
++$  wall  (list tape)                                   ::  text lines
+::
+--  =>
+::                                                      ::
+~%  %tri  +
+  ==
+    %year  year
+    %yore  yore
+    %ob    ob
+  ==
+::    layer-3
+::
+|%
+::    3a: signed and modular ints
++|  %signed-and-modular-ints
+::
+++  egcd                                                ::  schneier's egcd
+  |=  [a=@ b=@]
+  =+  si
+  =+  [c=(sun a) d=(sun b)]
+  =+  [u=[c=(sun 1) d=--0] v=[c=--0 d=(sun 1)]]
+  |-  ^-  [d=@ u=@s v=@s]
+  ?:  =(--0 c)
+    [(abs d) d.u d.v]
+  ::  ?>  ?&  =(c (sum (pro (sun a) c.u) (pro (sun b) c.v)))
+  ::          =(d (sum (pro (sun a) d.u) (pro (sun b) d.v)))
+  ::      ==
+  =+  q=(fra d c)
+  %=  $
+    c  (dif d (pro q c))
+    d  c
+    u  [(dif d.u (pro q c.u)) c.u]
+    v  [(dif d.v (pro q c.v)) c.v]
+  ==
+::
+++  fo                                                  ::  modulo prime
+  ^|
+  |_  a=@
+  ++  dif
+    |=  [b=@ c=@]
+    (sit (sub (add a b) (sit c)))
+  ::
+  ++  exp
+    |=  [b=@ c=@]
+    ?:  =(0 b)
+      1
+    =+  d=$(b (rsh 0 b))
+    =+  e=(pro d d)
+    ?:(=(0 (end 0 b)) e (pro c e))
+  ::
+  ++  fra
+    |=  [b=@ c=@]
+    (pro b (inv c))
+  ::
+  ++  inv
+    |=  b=@
+    =+  c=(dul:si u:(egcd b a) a)
+    c
+  ::
+  ++  pro
+    |=  [b=@ c=@]
+    (sit (mul b c))
+  ::
+  ++  sit
+    |=  b=@
+    (mod b a)
+  ::
+  ++  sum
+    |=  [b=@ c=@]
+    (sit (add b c))
+  --
+::
+++  si                                                  ::  signed integer
+  ^?
+  |%
+  ++  abs  |=(a=@s (add (end 0 a) (rsh 0 a)))           ::  absolute value
+  ++  dif  |=  [a=@s b=@s]                              ::  subtraction
+           (sum a (new !(syn b) (abs b)))
+  ++  dul  |=  [a=@s b=@]                               ::  modulus
+           =+(c=(old a) ?:(-.c (mod +.c b) (sub b +.c)))
+  ++  fra  |=  [a=@s b=@s]                              ::  divide
+           (new =(0 (mix (syn a) (syn b))) (div (abs a) (abs b)))
+  ++  new  |=  [a=? b=@]                                ::  [sign value] to @s
+           `@s`?:(a (mul 2 b) ?:(=(0 b) 0 +((mul 2 (dec b)))))
+  ++  old  |=(a=@s [(syn a) (abs a)])                   ::  [sign value]
+  ++  pro  |=  [a=@s b=@s]                              ::  multiplication
+           (new =(0 (mix (syn a) (syn b))) (mul (abs a) (abs b)))
+  ++  rem  |=([a=@s b=@s] (dif a (pro b (fra a b))))    ::  remainder
+  ++  sum  |=  [a=@s b=@s]                              ::  addition
+           =+  [c=(old a) d=(old b)]
+           ?:  -.c
+             ?:  -.d
+               (new & (add +.c +.d))
+             ?:  (gte +.c +.d)
+               (new & (sub +.c +.d))
+             (new | (sub +.d +.c))
+           ?:  -.d
+             ?:  (gte +.c +.d)
+               (new | (sub +.c +.d))
+             (new & (sub +.d +.c))
+           (new | (add +.c +.d))
+  ++  sun  |=(a=@u (mul 2 a))                           ::  @u to @s
+  ++  syn  |=(a=@s =(0 (end 0 a)))                      ::  sign test
+  ++  cmp  |=  [a=@s b=@s]                              ::  compare
+           ^-  @s
+           ?:  =(a b)
+             --0
+           ?:  (syn a)
+             ?:  (syn b)
+               ?:  (gth a b)
+                 --1
+               -1
+             --1
+          ?:  (syn b)
+            -1
+          ?:  (gth a b)
+            -1
+          --1
+  --
+::
+::    3b: floating point
++|  %floating-point
+::
+++  fl                                                  ::  arb. precision fp
+  =/  [[p=@u v=@s w=@u] r=$?(%n %u %d %z %a) d=$?(%d %f %i)]
+    [[113 -16.494 32.765] %n %d]
+  ::  p=precision:     number of bits in arithmetic form; must be at least 2
+  ::  v=min exponent:  minimum value of e
+  ::  w=width:         max - min value of e, 0 is fixed point
+  ::  r=rounding mode: nearest (ties to even), up, down, to zero, away from zero
+  ::  d=behavior:      return denormals, flush denormals to zero,
+  ::                   infinite exponent range
+  =>
+    ~%  %cofl  +>  ~
+    ::    cofl
+    ::
+    ::  internal functions; mostly operating on [e=@s a=@u], in other words
+    ::  positive numbers. many of these error out if a=0.
+    |%
+    ++  rou
+      |=  [a=[e=@s a=@u]]  ^-  fn  (rau a &)
+    ::
+    ++  rau
+      |=  [a=[e=@s a=@u] t=?]  ^-  fn
+      ?-  r
+        %z  (lug %fl a t)  %d  (lug %fl a t)
+        %a  (lug %ce a t)  %u  (lug %ce a t)
+        %n  (lug %ne a t)
+      ==
+    ::
+    ++  add                                             ::  add; exact if e
+      |=  [a=[e=@s a=@u] b=[e=@s a=@u] e=?]  ^-  fn
+      =+  q=(dif:si e.a e.b)
+      |-  ?.  (syn:si q)  $(b a, a b, q +(q))           ::  a has larger exp
+      ?:  e
+        [%f & e.b (^add (lsh [0 (abs:si q)] a.a) a.b)]
+      =+  [ma=(met 0 a.a) mb=(met 0 a.b)]
+      =+  ^=  w  %+  dif:si  e.a  %-  sun:si            ::  expanded exp of a
+        ?:  (gth prc ma)  (^sub prc ma)  0
+      =+  ^=  x  %+  sum:si  e.b  (sun:si mb)           ::  highest exp for b
+      ?:  =((cmp:si w x) --1)                           ::  don't need to add
+        ?-  r
+          %z  (lug %fl a &)  %d  (lug %fl a &)
+          %a  (lug %lg a &)  %u  (lug %lg a &)
+          %n  (lug %na a &)
+        ==
+      (rou [e.b (^add (lsh [0 (abs:si q)] a.a) a.b)])
+    ::
+    ++  sub                                             ::  subtract; exact if e
+      |=  [a=[e=@s a=@u] b=[e=@s a=@u] e=?]  ^-  fn
+      =+  q=(dif:si e.a e.b)
+      |-  ?.  (syn:si q)
+        (fli $(b a, a b, q +(q), r swr))
+      =+  [ma=(met 0 a.a) mb=(met 0 a.b)]
+      =+  ^=  w  %+  dif:si  e.a  %-  sun:si
+        ?:  (gth prc ma)  (^sub prc ma)  0
+      =+  ^=  x  %+  sum:si  e.b  (sun:si +(mb))
+      ?:  &(!e =((cmp:si w x) --1))
+        ?-  r
+          %z  (lug %sm a &)  %d  (lug %sm a &)
+          %a  (lug %ce a &)  %u  (lug %ce a &)
+          %n  (lug %nt a &)
+        ==
+      =+  j=(lsh [0 (abs:si q)] a.a)
+      |-  ?.  (gte j a.b)
+        (fli $(a.b j, j a.b, r swr))
+      =+  i=(^sub j a.b)
+      ?~  i  [%f & zer]
+      ?:  e  [%f & e.b i]  (rou [e.b i])
+    ::
+    ++  mul                                             ::  multiply
+      |=  [a=[e=@s a=@u] b=[e=@s a=@u]]  ^-  fn
+      (rou (sum:si e.a e.b) (^mul a.a a.b))
+    ::
+    ++  div                                             ::  divide
+      |=  [a=[e=@s a=@u] b=[e=@s a=@u]]  ^-  fn
+      =+  [ma=(met 0 a.a) mb=(met 0 a.b)]
+      =+  v=(dif:si (sun:si ma) (sun:si +((^add mb prc))))
+      =.  a  ?:  (syn:si v)  a
+      a(e (sum:si v e.a), a (lsh [0 (abs:si v)] a.a))
+      =+  [j=(dif:si e.a e.b) q=(dvr a.a a.b)]
+      (rau [j p.q] =(q.q 0))
+    ::
+    ++  sqt                                             ::  square root
+      |=  [a=[e=@s a=@u]]  ^-  fn
+      =.  a
+        =+  [w=(met 0 a.a) x=(^mul +(prc) 2)]
+        =+  ?:((^lth w x) (^sub x w) 0)
+        =+  ?:  =((dis - 1) (dis (abs:si e.a) 1))  -
+          (^add - 1)
+        a(e (dif:si e.a (sun:si -)), a (lsh [0 -] a.a))
+      =+  [y=(^sqt a.a) z=(fra:si e.a --2)]
+      (rau [z p.y] =(q.y 0))
+    ::
+    ++  lth                                             ::  less-than
+      |=  [a=[e=@s a=@u] b=[e=@s a=@u]]  ^-  ?
+      ?:  =(e.a e.b)  (^lth a.a a.b)
+      =+  c=(cmp:si (ibl a) (ibl b))
+      ?:  =(c -1)  &  ?:  =(c --1)  |
+      ?:  =((cmp:si e.a e.b) -1)
+        (^lth (rsh [0 (abs:si (dif:si e.a e.b))] a.a) a.b)
+      (^lth (lsh [0 (abs:si (dif:si e.a e.b))] a.a) a.b)
+    ::
+    ++  equ                                             ::  equals
+      |=  [a=[e=@s a=@u] b=[e=@s a=@u]]  ^-  ?
+      ?.  =((ibl a) (ibl b))  |
+      ?:  =((cmp:si e.a e.b) -1)
+        =((lsh [0 (abs:si (dif:si e.a e.b))] a.b) a.a)
+      =((lsh [0 (abs:si (dif:si e.a e.b))] a.a) a.b)
+    ::
+    ::    integer binary logarithm: 2^ibl(a) <= |a| < 2^(ibl(a)+1)
+    ++  ibl
+      |=  [a=[e=@s a=@u]]  ^-  @s
+      (sum:si (sun:si (dec (met 0 a.a))) e.a)
+    ::
+    ::  +uni
+    ::
+    ::    change to a representation where a.a is odd
+    ::    every fn has a unique representation of this kind
+    ++  uni
+      |=  [a=[e=@s a=@u]]
+      |-  ?:  =((end 0 a.a) 1)  a
+      $(a.a (rsh 0 a.a), e.a (sum:si e.a --1))
+    ::
+    ::  +xpd: expands to either full precision or to denormalized
+    ++  xpd
+      |=  [a=[e=@s a=@u]]
+      =+  ma=(met 0 a.a)
+      ?:  (gte ma prc)  a
+      =+  ?:  =(den %i)  (^sub prc ma)
+          =+  ^=  q
+            =+  w=(dif:si e.a emn)
+            ?:  (syn:si w)  (abs:si w)  0
+          (min q (^sub prc ma))
+      a(e (dif:si e.a (sun:si -)), a (lsh [0 -] a.a))
+    ::
+    ::  +lug: central rounding mechanism
+    ::
+    ::    can perform: floor, ceiling, smaller, larger,
+    ::                 nearest (round ties to: even, away from 0, toward 0)
+    ::    s is sticky bit: represents a value less than ulp(a) = 2^(e.a)
+    ::
+    ++  lug
+      ~/  %lug
+      |=  [t=$?(%fl %ce %sm %lg %ne %na %nt) a=[e=@s a=@u] s=?]  ^-  fn
+      ?<  =(a.a 0)
+      =-
+        ?.  =(den %f)  -                                ::  flush denormals
+        ?.  ?=([%f *] -)  -
+        ?:  =((met 0 ->+>) prc)  -  [%f & zer]
+      ::
+      =+  m=(met 0 a.a)
+      ?>  |(s (gth m prc))                              ::  require precision
+      =+  ^=  q  %+  max
+          ?:  (gth m prc)  (^sub m prc)  0              ::  reduce precision
+        %-  abs:si  ?:  =(den %i)  --0                  ::  enforce min. exp
+        ?:  =((cmp:si e.a emn) -1)  (dif:si emn e.a)  --0
+      =^  b  a  :-  (end [0 q] a.a)
+        a(e (sum:si e.a (sun:si q)), a (rsh [0 q] a.a))
+      ::
+      ?~  a.a
+        ?<  =(den %i)
+        ?-  t
+          %fl  [%f & zer]
+          %sm  [%f & zer]
+          %ce  [%f & spd]
+          %lg  [%f & spd]
+          %ne  ?:  s  [%f & ?:((lte b (bex (dec q))) zer spd)]
+               [%f & ?:((^lth b (bex (dec q))) zer spd)]
+          %nt  ?:  s  [%f & ?:((lte b (bex (dec q))) zer spd)]
+               [%f & ?:((^lth b (bex (dec q))) zer spd)]
+          %na  [%f & ?:((^lth b (bex (dec q))) zer spd)]
+        ==
+      ::
+      =.  a  (xpd a)
+      ::
+      =.  a
+        ?-  t
+          %fl  a
+          %lg  a(a +(a.a))
+          %sm  ?.  &(=(b 0) s)  a
+               ?:  &(=(e.a emn) !=(den %i))  a(a (dec a.a))
+               =+  y=(dec (^mul a.a 2))
+               ?.  (lte (met 0 y) prc)  a(a (dec a.a))
+               [(dif:si e.a --1) y]
+          %ce  ?:  &(=(b 0) s)  a  a(a +(a.a))
+          %ne  ?~  b  a
+               =+  y=(bex (dec q))
+               ?:  &(=(b y) s)                          ::  round halfs to even
+                 ?~  (dis a.a 1)  a  a(a +(a.a))
+               ?:  (^lth b y)  a  a(a +(a.a))
+          %na  ?~  b  a
+               =+  y=(bex (dec q))
+               ?:  (^lth b y)  a  a(a +(a.a))
+          %nt  ?~  b  a
+               =+  y=(bex (dec q))
+               ?:  =(b y)  ?:  s  a  a(a +(a.a))
+               ?:  (^lth b y)  a  a(a +(a.a))
+        ==
+      ::
+      =.  a  ?.  =((met 0 a.a) +(prc))  a
+        a(a (rsh 0 a.a), e (sum:si e.a --1))
+      ?~  a.a  [%f & zer]
+      ::
+      ?:  =(den %i)  [%f & a]
+      ?:  =((cmp:si emx e.a) -1)  [%i &]  [%f & a]      ::  enforce max. exp
+    ::
+    ++  drg                                             ::  dragon4; get
+      ~/  %drg                                          ::  printable decimal;
+      |=  [a=[e=@s a=@u]]  ^-  [@s @u]                  ::  guaranteed accurate
+      ?<  =(a.a 0)                                      ::  for rounded floats
+      =.  a  (xpd a)
+      =+  r=(lsh [0 ?:((syn:si e.a) (abs:si e.a) 0)] a.a)
+      =+  s=(lsh [0 ?.((syn:si e.a) (abs:si e.a) 0)] 1)
+      =+  mn=(lsh [0 ?:((syn:si e.a) (abs:si e.a) 0)] 1)
+      =+  mp=mn
+      =>  ?.
+            ?&  =(a.a (bex (dec prc)))                  ::  if next smallest
+                |(!=(e.a emn) =(den %i))                ::  float is half ULP,
+            ==                                          ::  tighten lower bound
+          .
+        %=  .
+          mp  (lsh 0 mp)
+          r  (lsh 0 r)
+          s  (lsh 0 s)
+        ==
+      =+  [k=--0 q=(^div (^add s 9) 10)]
+      |-  ?:  (^lth r q)
+        %=  $
+          k  (dif:si k --1)
+          r  (^mul r 10)
+          mn  (^mul mn 10)
+          mp  (^mul mp 10)
+        ==
+      |-  ?:  (gte (^add (^mul r 2) mp) (^mul s 2))
+        $(s (^mul s 10), k (sum:si k --1))
+      =+  [u=0 o=0]
+      |-                                                ::  r/s+o = a*10^-k
+      =+  v=(dvr (^mul r 10) s)
+      =>  %=  .
+          k  (dif:si k --1)
+          u  p.v
+          r  q.v
+          mn  (^mul mn 10)
+          mp  (^mul mp 10)
+        ==
+      =+  l=(^lth (^mul r 2) mn)                        ::  in lower bound
+      =+  ^=  h                                         ::  in upper bound
+        ?|  (^lth (^mul s 2) mp)
+            (gth (^mul r 2) (^sub (^mul s 2) mp))
+        ==
+      ?:  &(!l !h)
+        $(o (^add (^mul o 10) u))
+      =+  q=&(h |(!l (gth (^mul r 2) s)))
+      =.  o  (^add (^mul o 10) ?:(q +(u) u))
+      [k o]
+    ::
+    ++  toj                                             ::  round to integer
+      |=  [a=[e=@s a=@u]]  ^-  fn
+      ?.  =((cmp:si e.a --0) -1)  [%f & a]
+      =+  x=(abs:si e.a)
+      =+  y=(rsh [0 x] a.a)
+      ?:  |(=(r %d) =(r %z))  [%f & --0 y]
+      =+  z=(end [0 x] a.a)
+      ?:  |(=(r %u) =(r %a))  [%f & --0 ?~(z y +(y))]
+      =+  i=(bex (dec x))
+      ?:  &(=(z i) =((dis y 1) 0))  [%f & --0 y]
+      ?:  (^lth z i)  [%f & --0 y]  [%f & --0 +(y)]
+    ::
+    ++  ned                                             ::  require ?=([%f *] a)
+      |=  [a=fn]  ^-  [%f s=? e=@s a=@u]
+      ?:  ?=([%f *] a)  a
+      ~_  leaf+"need-float"
+      !!
+    ::
+    ++  shf                                             ::  a * 2^b; no rounding
+      |=  [a=fn b=@s]
+      ?:  |(?=([%n *] a) ?=([%i *] a))  a
+      a(e (sum:si e.a b))
+    ::
+    ++  fli                                             ::  flip sign
+      |=  [a=fn]  ^-  fn
+      ?-(-.a %f a(s !s.a), %i a(s !s.a), %n a)
+    ::
+    ++  swr  ?+(r r %d %u, %u %d)                       ::  flipped rounding
+    ++  prc  ?>((gth p 1) p)                            ::  force >= 2 precision
+    ++  den  d                                          ::  denorm+flush+inf exp
+    ++  emn  v                                          ::  minimum exponent
+    ++  emx  (sum:si emn (sun:si w))                    ::  maximum exponent
+    ++  spd  [e=emn a=1]                                ::  smallest denormal
+    ++  spn  [e=emn a=(bex (dec prc))]                  ::  smallest normal
+    ++  lfn  [e=emx a=(fil 0 prc 1)]                    ::  largest
+    ++  lfe  (sum:si emx (sun:si prc))                  ::  2^lfe is > than all
+    ++  zer  [e=--0 a=0]
+    --
+  |%
+  ++  rou                                               ::  round
+    |=  [a=fn]  ^-  fn
+    ?.  ?=([%f *] a)  a
+    ?~  a.a  [%f s.a zer]
+    ?:  s.a  (^rou +>.a)
+    =.(r swr (fli (^rou +>.a)))
+  ::
+  ++  syn                                               ::  get sign
+    |=  [a=fn]  ^-  ?
+    ?-(-.a %f s.a, %i s.a, %n &)
+  ::
+  ++  abs                                               ::  absolute value
+    |=  [a=fn]  ^-  fn
+    ?:  ?=([%f *] a)  [%f & e.a a.a]
+    ?:  ?=([%i *] a)  [%i &]  [%n ~]
+  ::
+  ++  add                                               ::  add
+    |=  [a=fn b=fn]  ^-  fn
+    ?:  |(?=([%n *] a) ?=([%n *] b))  [%n ~]
+    ?:  |(?=([%i *] a) ?=([%i *] b))
+      ?:  &(?=([%i *] a) ?=([%i *] b))
+        ?:  =(a b)  a  [%n ~]
+      ?:  ?=([%i *] a)  a  b
+    ?:  |(=(a.a 0) =(a.b 0))
+      ?.  &(=(a.a 0) =(a.b 0))  %-  rou  ?~(a.a b a)
+      [%f ?:(=(r %d) &(s.a s.b) |(s.a s.b)) zer]
+    %-  |=  [a=fn]
+        ?.  ?=([%f *] a)  a
+        ?.  =(a.a 0)  a
+        [%f !=(r %d) zer]
+    ?:  =(s.a s.b)
+      ?:  s.a  (^add +>.a +>.b |)
+      =.(r swr (fli (^add +>.a +>.b |)))
+    ?:  s.a  (^sub +>.a +>.b |)
+    (^sub +>.b +>.a |)
+  ::
+  ++  ead                                               ::  exact add
+    |=  [a=fn b=fn]  ^-  fn
+    ?:  |(?=([%n *] a) ?=([%n *] b))  [%n ~]
+    ?:  |(?=([%i *] a) ?=([%i *] b))
+      ?:  &(?=([%i *] a) ?=([%i *] b))
+        ?:  =(a b)  a  [%n ~]
+      ?:  ?=([%i *] a)  a  b
+    ?:  |(=(a.a 0) =(a.b 0))
+      ?.  &(=(a.a 0) =(a.b 0))  ?~(a.a b a)
+      [%f ?:(=(r %d) &(s.a s.b) |(s.a s.b)) zer]
+    %-  |=  [a=fn]
+        ?.  ?=([%f *] a)  a
+        ?.  =(a.a 0)  a
+        [%f !=(r %d) zer]
+    ?:  =(s.a s.b)
+      ?:  s.a  (^add +>.a +>.b &)
+      (fli (^add +>.a +>.b &))
+    ?:  s.a  (^sub +>.a +>.b &)
+    (^sub +>.b +>.a &)
+  ::
+  ++  sub                                               ::  subtract
+    |=  [a=fn b=fn]  ^-  fn  (add a (fli b))
+  ::
+  ++  mul                                               ::  multiply
+    |=  [a=fn b=fn]  ^-  fn
+    ?:  |(?=([%n *] a) ?=([%n *] b))  [%n ~]
+    ?:  ?=([%i *] a)
+      ?:  ?=([%i *] b)
+        [%i =(s.a s.b)]
+      ?:  =(a.b 0)  [%n ~]  [%i =(s.a s.b)]
+    ?:  ?=([%i *] b)
+      ?:  =(a.a 0)  [%n ~]  [%i =(s.a s.b)]
+    ?:  |(=(a.a 0) =(a.b 0))  [%f =(s.a s.b) zer]
+    ?:  =(s.a s.b)  (^mul +>.a +>.b)
+    =.(r swr (fli (^mul +>.a +>.b)))
+  ::
+  ++  emu                                               ::  exact multiply
+    |=  [a=fn b=fn]  ^-  fn
+    ?:  |(?=([%n *] a) ?=([%n *] b))  [%n ~]
+    ?:  ?=([%i *] a)
+      ?:  ?=([%i *] b)
+        [%i =(s.a s.b)]
+      ?:  =(a.b 0)  [%n ~]  [%i =(s.a s.b)]
+    ?:  ?=([%i *] b)
+      ?:  =(a.a 0)  [%n ~]  [%i =(s.a s.b)]
+    ?:  |(=(a.a 0) =(a.b 0))  [%f =(s.a s.b) zer]
+    [%f =(s.a s.b) (sum:si e.a e.b) (^^mul a.a a.b)]
+  ::
+  ++  div                                               ::  divide
+    |=  [a=fn b=fn]  ^-  fn
+    ?:  |(?=([%n *] a) ?=([%n *] b))  [%n ~]
+    ?:  ?=([%i *] a)
+      ?:  ?=([%i *] b)  [%n ~]  [%i =(s.a s.b)]
+    ?:  ?=([%i *] b)  [%f =(s.a s.b) zer]
+    ?:  =(a.a 0)  ?:  =(a.b 0)  [%n ~]  [%f =(s.a s.b) zer]
+    ?:  =(a.b 0)  [%i =(s.a s.b)]
+    ?:  =(s.a s.b)  (^div +>.a +>.b)
+    =.(r swr (fli (^div +>.a +>.b)))
+  ::
+  ++  fma                                               ::  fused multiply-add
+    |=  [a=fn b=fn c=fn]  ^-  fn                        ::  (a * b) + c
+    (add (emu a b) c)
+  ::
+  ++  sqt                                               ::  square root
+    |=  [a=fn]  ^-  fn
+    ?:  ?=([%n *] a)  [%n ~]
+    ?:  ?=([%i *] a)  ?:(s.a a [%n ~])
+    ?~  a.a  [%f s.a zer]
+    ?:  s.a  (^sqt +>.a)  [%n ~]
+  ::
+  ++  inv                                               ::  inverse
+    |=  [a=fn]  ^-  fn
+    (div [%f & --0 1] a)
+  ::
+  ++  sun                                               ::  uns integer to float
+    |=  [a=@u]  ^-  fn
+    (rou [%f & --0 a])
+  ::
+  ++  san                                               ::  sgn integer to float
+    |=  [a=@s]  ^-  fn
+    =+  b=(old:si a)
+    (rou [%f -.b --0 +.b])
+  ::
+  ++  lth                                               ::  less-than
+    ::    comparisons return ~ in the event of a NaN
+    |=  [a=fn b=fn]  ^-  (unit ?)
+    ?:  |(?=([%n *] a) ?=([%n *] b))  ~  :-  ~
+    ?:  =(a b)  |
+    ?:  ?=([%i *] a)  !s.a  ?:  ?=([%i *] b)  s.b
+    ?:  |(=(a.a 0) =(a.b 0))
+      ?:  &(=(a.a 0) =(a.b 0))  |
+      ?:  =(a.a 0)  s.b  !s.a
+    ?:  !=(s.a s.b)  s.b
+    ?:  s.a  (^lth +>.a +>.b)  (^lth +>.b +>.a)
+  ::
+  ++  lte                                               ::  less-equal
+    |=  [a=fn b=fn]  ^-  (unit ?)
+    %+  bind  (lth b a)  |=  a=?  !a
+  ::
+  ++  equ                                               ::  equal
+    |=  [a=fn b=fn]  ^-  (unit ?)
+    ?:  |(?=([%n *] a) ?=([%n *] b))  ~  :-  ~
+    ?:  =(a b)  &
+    ?:  |(?=([%i *] a) ?=([%i *] b))  |
+    ?:  |(=(a.a 0) =(a.b 0))
+      ?:  &(=(a.a 0) =(a.b 0))  &  |
+    ?:  |(=(e.a e.b) !=(s.a s.b))  |
+    (^equ +>.a +>.b)
+  ::
+  ++  gte                                               ::  greater-equal
+    |=  [a=fn b=fn]  ^-  (unit ?)  (lte b a)
+  ::
+  ++  gth                                               ::  greater-than
+    |=  [a=fn b=fn]  ^-  (unit ?)  (lth b a)
+  ::
+  ++  drg                                               ::  float to decimal
+    |=  [a=fn]  ^-  dn
+    ?:  ?=([%n *] a)  [%n ~]
+    ?:  ?=([%i *] a)  [%i s.a]
+    ?~  a.a  [%d s.a --0 0]
+    [%d s.a (^drg +>.a)]
+  ::
+  ++  grd                                               ::  decimal to float
+    |=  [a=dn]  ^-  fn
+    ?:  ?=([%n *] a)  [%n ~]
+    ?:  ?=([%i *] a)  [%i s.a]
+    =>  .(r %n)
+    =+  q=(abs:si e.a)
+    ?:  (syn:si e.a)
+      (mul [%f s.a --0 a.a] [%f & e.a (pow 5 q)])
+    (div [%f s.a --0 a.a] [%f & (sun:si q) (pow 5 q)])
+  ::
+  ++  toi                                               ::  round to integer @s
+    |=  [a=fn]  ^-  (unit @s)
+    =+  b=(toj a)
+    ?.  ?=([%f *] b)  ~  :-  ~
+    =+  c=(^^mul (bex (abs:si e.b)) a.b)
+    (new:si s.b c)
+  ::
+  ++  toj                                               ::  round to integer fn
+    |=  [a=fn]  ^-  fn
+    ?.  ?=([%f *] a)  a
+    ?~  a.a  [%f s.a zer]
+    ?:  s.a  (^toj +>.a)
+    =.(r swr (fli (^toj +>.a)))
+  --
+::    +ff
+::
+::  this core has no use outside of the functionality
+::  provided to ++rd, ++rs, ++rq, and ++rh
+::
+::  w=width:         bits in exponent field
+::  p=precision:     bits in fraction field
+::  b=bias:          added to exponent when storing
+::  r=rounding mode: same as in ++fl
+++  ff                                                  ::  ieee 754 format fp
+  |_  [[w=@u p=@u b=@s] r=$?(%n %u %d %z %a)]
+  ::
+  ++  sb  (bex (^add w p))                              ::  sign bit
+  ++  me  (dif:si (dif:si --1 b) (sun:si p))            ::  minimum exponent
+  ::
+  ++  pa
+    %*(. fl p +(p), v me, w (^sub (bex w) 3), d %d, r r)
+  ::
+  ++  sea                                               ::  @r to fn
+    |=  [a=@r]  ^-  fn
+    =+  [f=(cut 0 [0 p] a) e=(cut 0 [p w] a)]
+    =+  s=(sig a)
+    ?:  =(e 0)
+      ?:  =(f 0)  [%f s --0 0]  [%f s me f]
+    ?:  =(e (fil 0 w 1))
+      ?:  =(f 0)  [%i s]  [%n ~]
+    =+  q=:(sum:si (sun:si e) me -1)
+    =+  r=(^add f (bex p))
+    [%f s q r]
+  ::
+  ++  bit  |=  [a=fn]  (bif (rou:pa a))                 ::  fn to @r w+ rounding
+  ::
+  ++  bif                                               ::  fn to @r no rounding
+    |=  [a=fn]  ^-  @r
+    ?:  ?=([%i *] a)
+      =+  q=(lsh [0 p] (fil 0 w 1))
+      ?:  s.a  q  (^add q sb)
+    ?:  ?=([%n *] a)  (lsh [0 (dec p)] (fil 0 +(w) 1))
+    ?~  a.a  ?:  s.a  `@r`0  sb
+    =+  ma=(met 0 a.a)
+    ?.  =(ma +(p))
+      ?>  =(e.a me)
+      ?>  (^lth ma +(p))
+      ?:  s.a  `@r`a.a  (^add a.a sb)
+    =+  q=(sum:si (dif:si e.a me) --1)
+    =+  r=(^add (lsh [0 p] (abs:si q)) (end [0 p] a.a))
+    ?:  s.a  r  (^add r sb)
+  ::
+  ++  sig                                               ::  get sign
+    |=  [a=@r]  ^-  ?
+    =(0 (cut 0 [(^add p w) 1] a))
+  ::
+  ++  exp                                               ::  get exponent
+    |=  [a=@r]  ^-  @s
+    (dif:si (sun:si (cut 0 [p w] a)) b)
+  ::
+  ++  add                                               ::  add
+    |=  [a=@r b=@r]
+    (bif (add:pa (sea a) (sea b)))
+  ::
+  ++  sub                                               ::  subtract
+    |=  [a=@r b=@r]
+    (bif (sub:pa (sea a) (sea b)))
+  ::
+  ++  mul                                               ::  multiply
+    |=  [a=@r b=@r]
+    (bif (mul:pa (sea a) (sea b)))
+  ::
+  ++  div                                               ::  divide
+    |=  [a=@r b=@r]
+    (bif (div:pa (sea a) (sea b)))
+  ::
+  ++  fma                                               ::  fused multiply-add
+    |=  [a=@r b=@r c=@r]
+    (bif (fma:pa (sea a) (sea b) (sea c)))
+  ::
+  ++  sqt                                               ::  square root
+    |=  [a=@r]
+    (bif (sqt:pa (sea a)))
+  ::
+  ++  lth                                               ::  less-than
+    |=  [a=@r b=@r]  (fall (lth:pa (sea a) (sea b)) |)
+  ++  lte                                               ::  less-equals
+    |=  [a=@r b=@r]  (fall (lte:pa (sea a) (sea b)) |)
+  ++  equ                                               ::  equals
+    |=  [a=@r b=@r]  (fall (equ:pa (sea a) (sea b)) |)
+  ++  gte                                               ::  greater-equals
+    |=  [a=@r b=@r]  (fall (gte:pa (sea a) (sea b)) |)
+  ++  gth                                               ::  greater-than
+    |=  [a=@r b=@r]  (fall (gth:pa (sea a) (sea b)) |)
+  ++  sun                                               ::  uns integer to @r
+    |=  [a=@u]  (bit [%f & --0 a])
+  ++  san                                               ::  signed integer to @r
+    |=  [a=@s]  (bit [%f (syn:si a) --0 (abs:si a)])
+  ++  toi                                               ::  round to integer
+    |=  [a=@r]  (toi:pa (sea a))
+  ++  drg                                               ::  @r to decimal float
+    |=  [a=@r]  (drg:pa (sea a))
+  ++  grd                                               ::  decimal float to @r
+    |=  [a=dn]  (bif (grd:pa a))
+  --
+::
+++  rlyd  |=  a=@rd  ^-  dn  (drg:rd a)                 ::  prep @rd for print
+++  rlys  |=  a=@rs  ^-  dn  (drg:rs a)                 ::  prep @rs for print
+++  rlyh  |=  a=@rh  ^-  dn  (drg:rh a)                 ::  prep @rh for print
+++  rlyq  |=  a=@rq  ^-  dn  (drg:rq a)                 ::  prep @rq for print
+++  ryld  |=  a=dn  ^-  @rd  (grd:rd a)                 ::  finish parsing @rd
+++  ryls  |=  a=dn  ^-  @rs  (grd:rs a)                 ::  finish parsing @rs
+++  rylh  |=  a=dn  ^-  @rh  (grd:rh a)                 ::  finish parsing @rh
+++  rylq  |=  a=dn  ^-  @rq  (grd:rq a)                 ::  finish parsing @rq
+::
+++  rd                                                  ::  double precision fp
+  ^|
+  ~%  %rd  +>  ~
+  |_  r=$?(%n %u %d %z)
+  ::  round to nearest, round up, round down, round to zero
+  ::
+  ++  ma
+    %*(. ff w 11, p 52, b --1.023, r r)
+  ::
+  ++  sea                                               ::  @rd to fn
+    |=  [a=@rd]  (sea:ma a)
+  ::
+  ++  bit                                               ::  fn to @rd
+    |=  [a=fn]  ^-  @rd  (bit:ma a)
+  ::
+  ++  add  ~/  %add                                     ::  add
+    |=  [a=@rd b=@rd]  ^-  @rd
+    ~_  leaf+"rd-fail"
+    (add:ma a b)
+  ::
+  ++  sub  ~/  %sub                                     ::  subtract
+    |=  [a=@rd b=@rd]  ^-  @rd
+    ~_  leaf+"rd-fail"
+    (sub:ma a b)
+  ::
+  ++  mul  ~/  %mul                                     ::  multiply
+    |=  [a=@rd b=@rd]  ^-  @rd
+    ~_  leaf+"rd-fail"
+    (mul:ma a b)
+  ::
+  ++  div  ~/  %div                                     ::  divide
+    |=  [a=@rd b=@rd]  ^-  @rd
+    ~_  leaf+"rd-fail"
+    (div:ma a b)
+  ::
+  ++  fma  ~/  %fma                                     ::  fused multiply-add
+    |=  [a=@rd b=@rd c=@rd]  ^-  @rd
+    ~_  leaf+"rd-fail"
+    (fma:ma a b c)
+  ::
+  ++  sqt  ~/  %sqt                                     ::  square root
+    |=  [a=@rd]  ^-  @rd  ~_  leaf+"rd-fail"
+    (sqt:ma a)
+  ::
+  ++  lth  ~/  %lth                                     ::  less-than
+    |=  [a=@rd b=@rd]
+    ~_  leaf+"rd-fail"
+    (lth:ma a b)
+  ::
+  ++  lte  ~/  %lte                                     ::  less-equals
+    |=  [a=@rd b=@rd]
+    ~_  leaf+"rd-fail"
+    (lte:ma a b)
+  ::
+  ++  equ  ~/  %equ                                     ::  equals
+    |=  [a=@rd b=@rd]
+    ~_  leaf+"rd-fail"
+    (equ:ma a b)
+  ::
+  ++  gte  ~/  %gte                                     ::  greater-equals
+    |=  [a=@rd b=@rd]
+    ~_  leaf+"rd-fail"
+    (gte:ma a b)
+  ::
+  ++  gth  ~/  %gth                                     ::  greater-than
+    |=  [a=@rd b=@rd]
+    ~_  leaf+"rd-fail"
+    (gth:ma a b)
+  ::
+  ++  sun  |=  [a=@u]  ^-  @rd  (sun:ma a)              ::  uns integer to @rd
+  ++  san  |=  [a=@s]  ^-  @rd  (san:ma a)              ::  sgn integer to @rd
+  ++  sig  |=  [a=@rd]  ^-  ?  (sig:ma a)               ::  get sign
+  ++  exp  |=  [a=@rd]  ^-  @s  (exp:ma a)              ::  get exponent
+  ++  toi  |=  [a=@rd]  ^-  (unit @s)  (toi:ma a)       ::  round to integer
+  ++  drg  |=  [a=@rd]  ^-  dn  (drg:ma a)              ::  @rd to decimal float
+  ++  grd  |=  [a=dn]  ^-  @rd  (grd:ma a)              ::  decimal float to @rd
+  --
+::
+++  rs                                                  ::  single precision fp
+  ~%  %rs  +>  ~
+  ^|
+  ::    round to nearest, round up, round down, round to zero
+  |_  r=$?(%n %u %d %z)
+  ::
+  ++  ma
+    %*(. ff w 8, p 23, b --127, r r)
+  ::
+  ++  sea                                               ::  @rs to fn
+    |=  [a=@rs]  (sea:ma a)
+  ::
+  ++  bit                                               ::  fn to @rs
+    |=  [a=fn]  ^-  @rs  (bit:ma a)
+  ::
+  ++  add  ~/  %add                                     ::  add
+    |=  [a=@rs b=@rs]  ^-  @rs
+    ~_  leaf+"rs-fail"
+    (add:ma a b)
+  ::
+  ++  sub  ~/  %sub                                     ::  subtract
+    |=  [a=@rs b=@rs]  ^-  @rs
+    ~_  leaf+"rs-fail"
+    (sub:ma a b)
+  ::
+  ++  mul  ~/  %mul                                     ::  multiply
+    |=  [a=@rs b=@rs]  ^-  @rs
+    ~_  leaf+"rs-fail"
+    (mul:ma a b)
+  ::
+  ++  div  ~/  %div                                     ::  divide
+    |=  [a=@rs b=@rs]  ^-  @rs
+    ~_  leaf+"rs-fail"
+    (div:ma a b)
+  ::
+  ++  fma  ~/  %fma                                     ::  fused multiply-add
+    |=  [a=@rs b=@rs c=@rs]  ^-  @rs
+    ~_  leaf+"rs-fail"
+    (fma:ma a b c)
+  ::
+  ++  sqt  ~/  %sqt                                     ::  square root
+    |=  [a=@rs]  ^-  @rs
+    ~_  leaf+"rs-fail"
+    (sqt:ma a)
+  ::
+  ++  lth  ~/  %lth                                     ::  less-than
+    |=  [a=@rs b=@rs]
+    ~_  leaf+"rs-fail"
+    (lth:ma a b)
+  ::
+  ++  lte  ~/  %lte                                     ::  less-equals
+    |=  [a=@rs b=@rs]
+    ~_  leaf+"rs-fail"
+    (lte:ma a b)
+  ::
+  ++  equ  ~/  %equ                                     ::  equals
+    |=  [a=@rs b=@rs]
+    ~_  leaf+"rs-fail"
+    (equ:ma a b)
+  ::
+  ++  gte  ~/  %gte                                     ::  greater-equals
+    |=  [a=@rs b=@rs]
+    ~_  leaf+"rs-fail"
+    (gte:ma a b)
+  ::
+  ++  gth  ~/  %gth                                     ::  greater-than
+    |=  [a=@rs b=@rs]
+    ~_  leaf+"rs-fail"
+    (gth:ma a b)
+  ::
+  ++  sun  |=  [a=@u]  ^-  @rs  (sun:ma a)              ::  uns integer to @rs
+  ++  san  |=  [a=@s]  ^-  @rs  (san:ma a)              ::  sgn integer to @rs
+  ++  sig  |=  [a=@rs]  ^-  ?  (sig:ma a)               ::  get sign
+  ++  exp  |=  [a=@rs]  ^-  @s  (exp:ma a)              ::  get exponent
+  ++  toi  |=  [a=@rs]  ^-  (unit @s)  (toi:ma a)       ::  round to integer
+  ++  drg  |=  [a=@rs]  ^-  dn  (drg:ma a)              ::  @rs to decimal float
+  ++  grd  |=  [a=dn]  ^-  @rs  (grd:ma a)              ::  decimal float to @rs
+  --
+::
+++  rq                                                  ::  quad precision fp
+  ~%  %rq  +>  ~
+  ^|
+  ::    round to nearest, round up, round down, round to zero
+  |_  r=$?(%n %u %d %z)
+  ::
+  ++  ma
+    %*(. ff w 15, p 112, b --16.383, r r)
+  ::
+  ++  sea                                               ::  @rq to fn
+    |=  [a=@rq]  (sea:ma a)
+  ::
+  ++  bit                                               ::  fn to @rq
+    |=  [a=fn]  ^-  @rq  (bit:ma a)
+  ::
+  ++  add  ~/  %add                                     ::  add
+    |=  [a=@rq b=@rq]  ^-  @rq
+    ~_  leaf+"rq-fail"
+    (add:ma a b)
+  ::
+  ++  sub  ~/  %sub                                     ::  subtract
+    |=  [a=@rq b=@rq]  ^-  @rq
+    ~_  leaf+"rq-fail"
+    (sub:ma a b)
+  ::
+  ++  mul  ~/  %mul                                     ::  multiply
+    |=  [a=@rq b=@rq]  ^-  @rq
+    ~_  leaf+"rq-fail"
+    (mul:ma a b)
+  ::
+  ++  div  ~/  %div                                     ::  divide
+    |=  [a=@rq b=@rq]  ^-  @rq
+    ~_  leaf+"rq-fail"
+    (div:ma a b)
+  ::
+  ++  fma  ~/  %fma                                     ::  fused multiply-add
+    |=  [a=@rq b=@rq c=@rq]  ^-  @rq
+    ~_  leaf+"rq-fail"
+    (fma:ma a b c)
+  ::
+  ++  sqt  ~/  %sqt                                     ::  square root
+    |=  [a=@rq]  ^-  @rq
+    ~_  leaf+"rq-fail"
+    (sqt:ma a)
+  ::
+  ++  lth  ~/  %lth                                     ::  less-than
+    |=  [a=@rq b=@rq]
+    ~_  leaf+"rq-fail"
+    (lth:ma a b)
+  ::
+  ++  lte  ~/  %lte                                     ::  less-equals
+    |=  [a=@rq b=@rq]
+    ~_  leaf+"rq-fail"
+    (lte:ma a b)
+  ::
+  ++  equ  ~/  %equ                                     ::  equals
+    |=  [a=@rq b=@rq]
+    ~_  leaf+"rq-fail"
+    (equ:ma a b)
+  ::
+  ++  gte  ~/  %gte                                     ::  greater-equals
+    |=  [a=@rq b=@rq]
+    ~_  leaf+"rq-fail"
+    (gte:ma a b)
+  ::
+  ++  gth  ~/  %gth                                     ::  greater-than
+    |=  [a=@rq b=@rq]
+    ~_  leaf+"rq-fail"
+    (gth:ma a b)
+  ::
+  ++  sun  |=  [a=@u]  ^-  @rq  (sun:ma a)              ::  uns integer to @rq
+  ++  san  |=  [a=@s]  ^-  @rq  (san:ma a)              ::  sgn integer to @rq
+  ++  sig  |=  [a=@rq]  ^-  ?  (sig:ma a)               ::  get sign
+  ++  exp  |=  [a=@rq]  ^-  @s  (exp:ma a)              ::  get exponent
+  ++  toi  |=  [a=@rq]  ^-  (unit @s)  (toi:ma a)       ::  round to integer
+  ++  drg  |=  [a=@rq]  ^-  dn  (drg:ma a)              ::  @rq to decimal float
+  ++  grd  |=  [a=dn]  ^-  @rq  (grd:ma a)              ::  decimal float to @rq
+  --
+::
+++  rh                                                  ::  half precision fp
+  ~%  %rh  +>  ~
+  ^|
+  ::    round to nearest, round up, round down, round to zero
+  |_  r=$?(%n %u %d %z)
+  ::
+  ++  ma
+    %*(. ff w 5, p 10, b --15, r r)
+  ::
+  ++  sea                                               ::  @rh to fn
+    |=  [a=@rh]  (sea:ma a)
+  ::
+  ++  bit                                               ::  fn to @rh
+    |=  [a=fn]  ^-  @rh  (bit:ma a)
+  ::
+  ++  add  ~/  %add                                     ::  add
+    |=  [a=@rh b=@rh]  ^-  @rh
+    ~_  leaf+"rh-fail"
+    (add:ma a b)
+  ::
+  ++  sub  ~/  %sub                                     ::  subtract
+    |=  [a=@rh b=@rh]  ^-  @rh
+    ~_  leaf+"rh-fail"
+    (sub:ma a b)
+  ::
+  ++  mul  ~/  %mul                                     ::  multiply
+    |=  [a=@rh b=@rh]  ^-  @rh
+    ~_  leaf+"rh-fail"
+    (mul:ma a b)
+  ::
+  ++  div  ~/  %div                                     ::  divide
+    |=  [a=@rh b=@rh]  ^-  @rh
+    ~_  leaf+"rh-fail"
+    (div:ma a b)
+  ::
+  ++  fma  ~/  %fma                                     ::  fused multiply-add
+    |=  [a=@rh b=@rh c=@rh]  ^-  @rh
+    ~_  leaf+"rh-fail"
+    (fma:ma a b c)
+  ::
+  ++  sqt  ~/  %sqt                                     ::  square root
+    |=  [a=@rh]  ^-  @rh
+    ~_  leaf+"rh-fail"
+    (sqt:ma a)
+  ::
+  ++  lth  ~/  %lth                                     ::  less-than
+    |=  [a=@rh b=@rh]
+    ~_  leaf+"rh-fail"
+    (lth:ma a b)
+  ::
+  ++  lte  ~/  %lte                                     ::  less-equals
+    |=  [a=@rh b=@rh]
+    ~_  leaf+"rh-fail"
+    (lte:ma a b)
+  ::
+  ++  equ  ~/  %equ                                     ::  equals
+    |=  [a=@rh b=@rh]
+    ~_  leaf+"rh-fail"
+    (equ:ma a b)
+  ::
+  ++  gte  ~/  %gte                                     ::  greater-equals
+    |=  [a=@rh b=@rh]
+    ~_  leaf+"rh-fail"
+    (gte:ma a b)
+  ::
+  ++  gth  ~/  %gth                                     ::  greater-than
+    |=  [a=@rh b=@rh]
+    ~_  leaf+"rh-fail"
+    (gth:ma a b)
+  ::
+  ++  tos                                               ::  @rh to @rs
+    |=  [a=@rh]  (bit:rs (sea a))
+  ::
+  ++  fos                                               ::  @rs to @rh
+    |=  [a=@rs]  (bit (sea:rs a))
+  ::
+  ++  sun  |=  [a=@u]  ^-  @rh  (sun:ma a)              ::  uns integer to @rh
+  ++  san  |=  [a=@s]  ^-  @rh  (san:ma a)              ::  sgn integer to @rh
+  ++  sig  |=  [a=@rh]  ^-  ?  (sig:ma a)               ::  get sign
+  ++  exp  |=  [a=@rh]  ^-  @s  (exp:ma a)              ::  get exponent
+  ++  toi  |=  [a=@rh]  ^-  (unit @s)  (toi:ma a)       ::  round to integer
+  ++  drg  |=  [a=@rh]  ^-  dn  (drg:ma a)              ::  @rh to decimal float
+  ++  grd  |=  [a=dn]  ^-  @rh  (grd:ma a)              ::  decimal float to @rh
+  --
+::
+::    3c: urbit time
++|  %urbit-time
+::
+++  year                                                ::  date to @d
+  |=  det=date
+  ^-  @da
+  =+  ^=  yer
+      ?:  a.det
+        (add 292.277.024.400 y.det)
+      (sub 292.277.024.400 (dec y.det))
+  =+  day=(yawn yer m.det d.t.det)
+  (yule day h.t.det m.t.det s.t.det f.t.det)
+::
+++  yore                                                ::  @d to date
+  |=  now=@da
+  ^-  date
+  =+  rip=(yell now)
+  =+  ger=(yall d.rip)
+  :-  ?:  (gth y.ger 292.277.024.400)
+        [a=& y=(sub y.ger 292.277.024.400)]
+      [a=| y=+((sub 292.277.024.400 y.ger))]
+  [m.ger d.ger h.rip m.rip s.rip f.rip]
+::
+++  yell                                                ::  tarp from @d
+  |=  now=@d
+  ^-  tarp
+  =+  sec=(rsh 6 now)
+  =+  ^=  fan
+      =+  [muc=4 raw=(end 6 now)]
+      |-  ^-  (list @ux)
+      ?:  |(=(0 raw) =(0 muc))
+        ~
+      =>  .(muc (dec muc))
+      [(cut 4 [muc 1] raw) $(raw (end [4 muc] raw))]
+  =+  day=(div sec day:yo)
+  =>  .(sec (mod sec day:yo))
+  =+  hor=(div sec hor:yo)
+  =>  .(sec (mod sec hor:yo))
+  =+  mit=(div sec mit:yo)
+  =>  .(sec (mod sec mit:yo))
+  [day hor mit sec fan]
+::
+++  yule                                                ::  time atom
+  |=  rip=tarp
+  ^-  @d
+  =+  ^=  sec  ;:  add
+                 (mul d.rip day:yo)
+                 (mul h.rip hor:yo)
+                 (mul m.rip mit:yo)
+                 s.rip
+               ==
+  =+  ^=  fac  =+  muc=4
+               |-  ^-  @
+               ?~  f.rip
+                 0
+               =>  .(muc (dec muc))
+               (add (lsh [4 muc] i.f.rip) $(f.rip t.f.rip))
+  (con (lsh 6 sec) fac)
+::
+++  yall                                                ::  day / to day of year
+  |=  day=@ud
+  ^-  [y=@ud m=@ud d=@ud]
+  =+  [era=0 cet=0 lep=*?]
+  =>  .(era (div day era:yo), day (mod day era:yo))
+  =>  ^+  .
+      ?:  (lth day +(cet:yo))
+        .(lep &, cet 0)
+      =>  .(lep |, cet 1, day (sub day +(cet:yo)))
+      .(cet (add cet (div day cet:yo)), day (mod day cet:yo))
+  =+  yer=(add (mul 400 era) (mul 100 cet))
+  |-  ^-  [y=@ud m=@ud d=@ud]
+  =+  dis=?:(lep 366 365)
+  ?.  (lth day dis)
+    =+  ner=+(yer)
+    $(yer ner, day (sub day dis), lep =(0 (end [0 2] ner)))
+  |-  ^-  [y=@ud m=@ud d=@ud]
+  =+  [mot=0 cah=?:(lep moy:yo moh:yo)]
+  |-  ^-  [y=@ud m=@ud d=@ud]
+  =+  zis=(snag mot cah)
+  ?:  (lth day zis)
+    [yer +(mot) +(day)]
+  $(mot +(mot), day (sub day zis))
+::
+++  yawn                                                ::  days since Jesus
+  |=  [yer=@ud mot=@ud day=@ud]
+  ^-  @ud
+  =>  .(mot (dec mot), day (dec day))
+  =>  ^+  .
+      %=    .
+          day
+        =+  cah=?:((yelp yer) moy:yo moh:yo)
+        |-  ^-  @ud
+        ?:  =(0 mot)
+          day
+        $(mot (dec mot), cah (slag 1 cah), day (add day (snag 0 cah)))
+      ==
+  |-  ^-  @ud
+  ?.  =(0 (mod yer 4))
+    =+  ney=(dec yer)
+    $(yer ney, day (add day ?:((yelp ney) 366 365)))
+  ?.  =(0 (mod yer 100))
+    =+  nef=(sub yer 4)
+    $(yer nef, day (add day ?:((yelp nef) 1.461 1.460)))
+  ?.  =(0 (mod yer 400))
+    =+  nec=(sub yer 100)
+    $(yer nec, day (add day ?:((yelp nec) 36.525 36.524)))
+  (add day (mul (div yer 400) (add 1 (mul 4 36.524))))
+::
+++  yelp                                                ::  leap year
+  |=  yer=@ud  ^-  ?
+  &(=(0 (mod yer 4)) |(!=(0 (mod yer 100)) =(0 (mod yer 400))))
+::
+++  yo                                                  ::  time constants
+  |%  ++  cet  36.524                 ::  (add 24 (mul 100 365))
+      ++  day  86.400                 ::  (mul 24 hor)
+      ++  era  146.097                ::  (add 1 (mul 4 cet))
+      ++  hor  3.600                  ::  (mul 60 mit)
+      ++  jes  106.751.991.084.417    ::  (mul 730.692.561 era)
+      ++  mit  60
+      ++  moh  `(list @ud)`[31 28 31 30 31 30 31 31 30 31 30 31 ~]
+      ++  moy  `(list @ud)`[31 29 31 30 31 30 31 31 30 31 30 31 ~]
+      ++  qad  126.144.001            ::  (add 1 (mul 4 yer))
+      ++  yer  31.536.000             ::  (mul 365 day)
+  --
+::
+::    3d: SHA hash family
++|  %sha-hash-family
+::
+++  shad  |=(ruz=@ (shax (shax ruz)))                   ::  double sha-256
+++  shaf                                                ::  half sha-256
+  |=  [sal=@ ruz=@]
+  =+  haz=(shas sal ruz)
+  (mix (end 7 haz) (rsh 7 haz))
+::
+++  sham                                                ::  128bit noun hash
+  |=  yux=*  ^-  @uvH  ^-  @
+  ?@  yux
+    (shaf %mash yux)
+  (shaf %sham (jam yux))
+::
+++  shas                                                ::  salted hash
+  ~/  %shas
+  |=  [sal=@ ruz=@]
+  (shax (mix sal (shax ruz)))
+::
+++  shax                                                ::  sha-256
+  ~/  %shax
+  |=  ruz=@  ^-  @
+  (shay [(met 3 ruz) ruz])
+::
+++  shay                                                ::  sha-256 with length
+  ~/  %shay
+  |=  [len=@u ruz=@]  ^-  @
+  =>  .(ruz (cut 3 [0 len] ruz))
+  =+  [few==>(fe .(a 5)) wac=|=([a=@ b=@] (cut 5 [a 1] b))]
+  =+  [sum=sum.few ror=ror.few net=net.few inv=inv.few]
+  =+  ral=(lsh [0 3] len)
+  =+  ^=  ful
+      %+  can  0
+      :~  [ral ruz]
+          [8 128]
+          [(mod (sub 960 (mod (add 8 ral) 512)) 512) 0]
+          [64 (~(net fe 6) ral)]
+      ==
+  =+  lex=(met 9 ful)
+  =+  ^=  kbx  0xc671.78f2.bef9.a3f7.a450.6ceb.90be.fffa.
+                 8cc7.0208.84c8.7814.78a5.636f.748f.82ee.
+                 682e.6ff3.5b9c.ca4f.4ed8.aa4a.391c.0cb3.
+                 34b0.bcb5.2748.774c.1e37.6c08.19a4.c116.
+                 106a.a070.f40e.3585.d699.0624.d192.e819.
+                 c76c.51a3.c24b.8b70.a81a.664b.a2bf.e8a1.
+                 9272.2c85.81c2.c92e.766a.0abb.650a.7354.
+                 5338.0d13.4d2c.6dfc.2e1b.2138.27b7.0a85.
+                 1429.2967.06ca.6351.d5a7.9147.c6e0.0bf3.
+                 bf59.7fc7.b003.27c8.a831.c66d.983e.5152.
+                 76f9.88da.5cb0.a9dc.4a74.84aa.2de9.2c6f.
+                 240c.a1cc.0fc1.9dc6.efbe.4786.e49b.69c1.
+                 c19b.f174.9bdc.06a7.80de.b1fe.72be.5d74.
+                 550c.7dc3.2431.85be.1283.5b01.d807.aa98.
+                 ab1c.5ed5.923f.82a4.59f1.11f1.3956.c25b.
+                 e9b5.dba5.b5c0.fbcf.7137.4491.428a.2f98
+  =+  ^=  hax  0x5be0.cd19.1f83.d9ab.9b05.688c.510e.527f.
+                 a54f.f53a.3c6e.f372.bb67.ae85.6a09.e667
+  =+  i=0
+  |-  ^-  @
+  ?:  =(i lex)
+    (run 5 hax net)
+  =+  ^=  wox
+      =+  dux=(cut 9 [i 1] ful)
+      =+  wox=(run 5 dux net)
+      =+  j=16
+      |-  ^-  @
+      ?:  =(64 j)
+        wox
+      =+  :*  l=(wac (sub j 15) wox)
+              m=(wac (sub j 2) wox)
+              n=(wac (sub j 16) wox)
+              o=(wac (sub j 7) wox)
+          ==
+      =+  x=:(mix (ror 0 7 l) (ror 0 18 l) (rsh [0 3] l))
+      =+  y=:(mix (ror 0 17 m) (ror 0 19 m) (rsh [0 10] m))
+      =+  z=:(sum n x o y)
+      $(wox (con (lsh [5 j] z) wox), j +(j))
+  =+  j=0
+  =+  :*  a=(wac 0 hax)
+          b=(wac 1 hax)
+          c=(wac 2 hax)
+          d=(wac 3 hax)
+          e=(wac 4 hax)
+          f=(wac 5 hax)
+          g=(wac 6 hax)
+          h=(wac 7 hax)
+      ==
+  |-  ^-  @
+  ?:  =(64 j)
+    %=  ^$
+      i  +(i)
+      hax  %+  rep  5
+           :~  (sum a (wac 0 hax))
+               (sum b (wac 1 hax))
+               (sum c (wac 2 hax))
+               (sum d (wac 3 hax))
+               (sum e (wac 4 hax))
+               (sum f (wac 5 hax))
+               (sum g (wac 6 hax))
+               (sum h (wac 7 hax))
+           ==
+    ==
+  =+  l=:(mix (ror 0 2 a) (ror 0 13 a) (ror 0 22 a))    ::  s0
+  =+  m=:(mix (dis a b) (dis a c) (dis b c))            ::  maj
+  =+  n=(sum l m)                                       ::  t2
+  =+  o=:(mix (ror 0 6 e) (ror 0 11 e) (ror 0 25 e))    ::  s1
+  =+  p=(mix (dis e f) (dis (inv e) g))                 ::  ch
+  =+  q=:(sum h o p (wac j kbx) (wac j wox))            ::  t1
+  $(j +(j), a (sum q n), b a, c b, d c, e (sum d q), f e, g f, h g)
+::
+++  shaw                                                ::  hash to nbits
+  |=  [sal=@ len=@ ruz=@]
+  (~(raw og (shas sal (mix len ruz))) len)
+::
+++  shaz                                                ::  sha-512
+  |=  ruz=@  ^-  @
+  (shal [(met 3 ruz) ruz])
+::
+++  shal                                                ::  sha-512 with length
+  ~/  %shal
+  |=  [len=@ ruz=@]  ^-  @
+  =>  .(ruz (cut 3 [0 len] ruz))
+  =+  [few==>(fe .(a 6)) wac=|=([a=@ b=@] (cut 6 [a 1] b))]
+  =+  [sum=sum.few ror=ror.few net=net.few inv=inv.few]
+  =+  ral=(lsh [0 3] len)
+  =+  ^=  ful
+      %+  can  0
+      :~  [ral ruz]
+          [8 128]
+          [(mod (sub 1.920 (mod (add 8 ral) 1.024)) 1.024) 0]
+          [128 (~(net fe 7) ral)]
+      ==
+  =+  lex=(met 10 ful)
+  =+  ^=  kbx  0x6c44.198c.4a47.5817.5fcb.6fab.3ad6.faec.
+                 597f.299c.fc65.7e2a.4cc5.d4be.cb3e.42b6.
+                 431d.67c4.9c10.0d4c.3c9e.be0a.15c9.bebc.
+                 32ca.ab7b.40c7.2493.28db.77f5.2304.7d84.
+                 1b71.0b35.131c.471b.113f.9804.bef9.0dae.
+                 0a63.7dc5.a2c8.98a6.06f0.67aa.7217.6fba.
+                 f57d.4f7f.ee6e.d178.eada.7dd6.cde0.eb1e.
+                 d186.b8c7.21c0.c207.ca27.3ece.ea26.619c.
+                 c671.78f2.e372.532b.bef9.a3f7.b2c6.7915.
+                 a450.6ceb.de82.bde9.90be.fffa.2363.1e28.
+                 8cc7.0208.1a64.39ec.84c8.7814.a1f0.ab72.
+                 78a5.636f.4317.2f60.748f.82ee.5def.b2fc.
+                 682e.6ff3.d6b2.b8a3.5b9c.ca4f.7763.e373.
+                 4ed8.aa4a.e341.8acb.391c.0cb3.c5c9.5a63.
+                 34b0.bcb5.e19b.48a8.2748.774c.df8e.eb99.
+                 1e37.6c08.5141.ab53.19a4.c116.b8d2.d0c8.
+                 106a.a070.32bb.d1b8.f40e.3585.5771.202a.
+                 d699.0624.5565.a910.d192.e819.d6ef.5218.
+                 c76c.51a3.0654.be30.c24b.8b70.d0f8.9791.
+                 a81a.664b.bc42.3001.a2bf.e8a1.4cf1.0364.
+                 9272.2c85.1482.353b.81c2.c92e.47ed.aee6.
+                 766a.0abb.3c77.b2a8.650a.7354.8baf.63de.
+                 5338.0d13.9d95.b3df.4d2c.6dfc.5ac4.2aed.
+                 2e1b.2138.5c26.c926.27b7.0a85.46d2.2ffc.
+                 1429.2967.0a0e.6e70.06ca.6351.e003.826f.
+                 d5a7.9147.930a.a725.c6e0.0bf3.3da8.8fc2.
+                 bf59.7fc7.beef.0ee4.b003.27c8.98fb.213f.
+                 a831.c66d.2db4.3210.983e.5152.ee66.dfab.
+                 76f9.88da.8311.53b5.5cb0.a9dc.bd41.fbd4.
+                 4a74.84aa.6ea6.e483.2de9.2c6f.592b.0275.
+                 240c.a1cc.77ac.9c65.0fc1.9dc6.8b8c.d5b5.
+                 efbe.4786.384f.25e3.e49b.69c1.9ef1.4ad2.
+                 c19b.f174.cf69.2694.9bdc.06a7.25c7.1235.
+                 80de.b1fe.3b16.96b1.72be.5d74.f27b.896f.
+                 550c.7dc3.d5ff.b4e2.2431.85be.4ee4.b28c.
+                 1283.5b01.4570.6fbe.d807.aa98.a303.0242.
+                 ab1c.5ed5.da6d.8118.923f.82a4.af19.4f9b.
+                 59f1.11f1.b605.d019.3956.c25b.f348.b538.
+                 e9b5.dba5.8189.dbbc.b5c0.fbcf.ec4d.3b2f.
+                 7137.4491.23ef.65cd.428a.2f98.d728.ae22
+  =+  ^=  hax  0x5be0.cd19.137e.2179.1f83.d9ab.fb41.bd6b.
+                 9b05.688c.2b3e.6c1f.510e.527f.ade6.82d1.
+                 a54f.f53a.5f1d.36f1.3c6e.f372.fe94.f82b.
+                 bb67.ae85.84ca.a73b.6a09.e667.f3bc.c908
+  =+  i=0
+  |-  ^-  @
+  ?:  =(i lex)
+    (run 6 hax net)
+  =+  ^=  wox
+      =+  dux=(cut 10 [i 1] ful)
+      =+  wox=(run 6 dux net)
+      =+  j=16
+      |-  ^-  @
+      ?:  =(80 j)
+        wox
+      =+  :*  l=(wac (sub j 15) wox)
+              m=(wac (sub j 2) wox)
+              n=(wac (sub j 16) wox)
+              o=(wac (sub j 7) wox)
+          ==
+      =+  x=:(mix (ror 0 1 l) (ror 0 8 l) (rsh [0 7] l))
+      =+  y=:(mix (ror 0 19 m) (ror 0 61 m) (rsh [0 6] m))
+      =+  z=:(sum n x o y)
+      $(wox (con (lsh [6 j] z) wox), j +(j))
+  =+  j=0
+  =+  :*  a=(wac 0 hax)
+          b=(wac 1 hax)
+          c=(wac 2 hax)
+          d=(wac 3 hax)
+          e=(wac 4 hax)
+          f=(wac 5 hax)
+          g=(wac 6 hax)
+          h=(wac 7 hax)
+      ==
+  |-  ^-  @
+  ?:  =(80 j)
+    %=  ^$
+      i  +(i)
+      hax  %+  rep  6
+           :~  (sum a (wac 0 hax))
+               (sum b (wac 1 hax))
+               (sum c (wac 2 hax))
+               (sum d (wac 3 hax))
+               (sum e (wac 4 hax))
+               (sum f (wac 5 hax))
+               (sum g (wac 6 hax))
+               (sum h (wac 7 hax))
+           ==
+    ==
+  =+  l=:(mix (ror 0 28 a) (ror 0 34 a) (ror 0 39 a))   ::  S0
+  =+  m=:(mix (dis a b) (dis a c) (dis b c))            ::  maj
+  =+  n=(sum l m)                                       ::  t2
+  =+  o=:(mix (ror 0 14 e) (ror 0 18 e) (ror 0 41 e))   ::  S1
+  =+  p=(mix (dis e f) (dis (inv e) g))                 ::  ch
+  =+  q=:(sum h o p (wac j kbx) (wac j wox))            ::  t1
+  $(j +(j), a (sum q n), b a, c b, d c, e (sum d q), f e, g f, h g)
+::
+++  shan                                                ::  sha-1 (deprecated)
+  |=  ruz=@
+  =+  [few==>(fe .(a 5)) wac=|=([a=@ b=@] (cut 5 [a 1] b))]
+  =+  [sum=sum.few ror=ror.few rol=rol.few net=net.few inv=inv.few]
+  =+  ral=(lsh [0 3] (met 3 ruz))
+  =+  ^=  ful
+      %+  can  0
+      :~  [ral ruz]
+          [8 128]
+          [(mod (sub 960 (mod (add 8 ral) 512)) 512) 0]
+          [64 (~(net fe 6) ral)]
+      ==
+  =+  lex=(met 9 ful)
+  =+  kbx=0xca62.c1d6.8f1b.bcdc.6ed9.eba1.5a82.7999
+  =+  hax=0xc3d2.e1f0.1032.5476.98ba.dcfe.efcd.ab89.6745.2301
+  =+  i=0
+  |-
+  ?:  =(i lex)
+    (rep 5 (flop (rip 5 hax)))
+  =+  ^=  wox
+      =+  dux=(cut 9 [i 1] ful)
+      =+  wox=(rep 5 (turn (rip 5 dux) net))
+      =+  j=16
+      |-  ^-  @
+      ?:  =(80 j)
+        wox
+      =+  :*  l=(wac (sub j 3) wox)
+              m=(wac (sub j 8) wox)
+              n=(wac (sub j 14) wox)
+              o=(wac (sub j 16) wox)
+          ==
+      =+  z=(rol 0 1 :(mix l m n o))
+      $(wox (con (lsh [5 j] z) wox), j +(j))
+  =+  j=0
+  =+  :*  a=(wac 0 hax)
+          b=(wac 1 hax)
+          c=(wac 2 hax)
+          d=(wac 3 hax)
+          e=(wac 4 hax)
+      ==
+  |-  ^-  @
+  ?:  =(80 j)
+    %=  ^$
+      i  +(i)
+      hax  %+  rep  5
+           :~
+               (sum a (wac 0 hax))
+               (sum b (wac 1 hax))
+               (sum c (wac 2 hax))
+               (sum d (wac 3 hax))
+               (sum e (wac 4 hax))
+           ==
+    ==
+  =+  fx=(con (dis b c) (dis (not 5 1 b) d))
+  =+  fy=:(mix b c d)
+  =+  fz=:(con (dis b c) (dis b d) (dis c d))
+  =+  ^=  tem
+      ?:  &((gte j 0) (lte j 19))
+        :(sum (rol 0 5 a) fx e (wac 0 kbx) (wac j wox))
+      ?:  &((gte j 20) (lte j 39))
+        :(sum (rol 0 5 a) fy e (wac 1 kbx) (wac j wox))
+      ?:  &((gte j 40) (lte j 59))
+        :(sum (rol 0 5 a) fz e (wac 2 kbx) (wac j wox))
+      :(sum (rol 0 5 a) fy e (wac 3 kbx) (wac j wox))
+  $(j +(j), a tem, b a, c (rol 0 30 b), d c, e d)
+::
+++  og                                                  ::  shax-powered rng
+  ~/  %og
+  |_  a=@
+  ++  rad                                               ::  random in range
+    |=  b=@  ^-  @
+    ~_  leaf+"rad-zero"
+    ?<  =(0 b)
+    =+  c=(raw (met 0 b))
+    ?:((lth c b) c $(a +(a)))
+  ::
+  ++  rads                                              ::  random continuation
+    |=  b=@
+    =+  r=(rad b)
+    [r +>.$(a (shas %og-s (mix a r)))]
+  ::
+  ++  raw                                               ::  random bits
+    ~/  %raw
+    |=  b=@  ^-  @
+    %+  can
+      0
+    =+  c=(shas %og-a (mix b a))
+    |-  ^-  (list [@ @])
+    ?:  =(0 b)
+      ~
+    =+  d=(shas %og-b (mix b (mix a c)))
+    ?:  (lth b 256)
+      [[b (end [0 b] d)] ~]
+    [[256 d] $(c d, b (sub b 256))]
+  ::
+  ++  raws                                              ::  random bits
+    |=  b=@                                             ::  continuation
+    =+  r=(raw b)
+    [r +>.$(a (shas %og-s (mix a r)))]
+  --
+::
+++  sha                                                 ::  correct byte-order
+  ~%  %sha  ..sha  ~
+  =>  |%
+      ++  flin  |=(a=@ (swp 3 a))                       ::  flip input
+      ++  flim  |=(byts [wid (rev 3 wid dat)])          ::  flip input w= length
+      ++  flip  |=(w=@u (cury (cury rev 3) w))          ::  flip output of size
+      ++  meet  |=(a=@ [(met 3 a) a])                   ::  measure input size
+      --
+  |%
+  ::
+  ::  use with @
+  ::
+  ++  sha-1     (cork meet sha-1l)
+  ++  sha-256   :(cork flin shax (flip 32))
+  ++  sha-512   :(cork flin shaz (flip 64))
+  ::
+  ::  use with byts
+  ::
+  ++  sha-256l  :(cork flim shay (flip 32))
+  ++  sha-512l  :(cork flim shal (flip 64))
+  ::
+  ++  sha-1l
+    ~/  %sha1
+    |=  byts
+    ^-  @
+    =+  [few==>(fe .(a 5)) wac=|=([a=@ b=@] (cut 5 [a 1] b))]
+    =+  [sum=sum.few ror=ror.few rol=rol.few net=net.few inv=inv.few]
+    =+  ral=(lsh [0 3] wid)
+    =+  ^=  ful
+        %+  can  0
+        :~  [ral (rev 3 wid dat)]
+            [8 128]
+            [(mod (sub 960 (mod (add 8 ral) 512)) 512) 0]
+            [64 (~(net fe 6) ral)]
+        ==
+    =+  lex=(met 9 ful)
+    =+  kbx=0xca62.c1d6.8f1b.bcdc.6ed9.eba1.5a82.7999
+    =+  hax=0xc3d2.e1f0.1032.5476.98ba.dcfe.efcd.ab89.6745.2301
+    =+  i=0
+    |-
+    ?:  =(i lex)
+      (rep 5 (flop (rip 5 hax)))
+    =+  ^=  wox
+        =+  dux=(cut 9 [i 1] ful)
+        =+  wox=(rep 5 (turn (rip 5 dux) net))
+        =+  j=16
+        |-  ^-  @
+        ?:  =(80 j)
+          wox
+        =+  :*  l=(wac (sub j 3) wox)
+                m=(wac (sub j 8) wox)
+                n=(wac (sub j 14) wox)
+                o=(wac (sub j 16) wox)
+            ==
+        =+  z=(rol 0 1 :(mix l m n o))
+        $(wox (con (lsh [5 j] z) wox), j +(j))
+    =+  j=0
+    =+  :*  a=(wac 0 hax)
+            b=(wac 1 hax)
+            c=(wac 2 hax)
+            d=(wac 3 hax)
+            e=(wac 4 hax)
+        ==
+    |-  ^-  @
+    ?:  =(80 j)
+      %=  ^$
+        i  +(i)
+        hax  %+  rep  5
+             :~
+                 (sum a (wac 0 hax))
+                 (sum b (wac 1 hax))
+                 (sum c (wac 2 hax))
+                 (sum d (wac 3 hax))
+                 (sum e (wac 4 hax))
+             ==
+      ==
+    =+  fx=(con (dis b c) (dis (not 5 1 b) d))
+    =+  fy=:(mix b c d)
+    =+  fz=:(con (dis b c) (dis b d) (dis c d))
+    =+  ^=  tem
+        ?:  &((gte j 0) (lte j 19))
+          :(sum (rol 0 5 a) fx e (wac 0 kbx) (wac j wox))
+        ?:  &((gte j 20) (lte j 39))
+          :(sum (rol 0 5 a) fy e (wac 1 kbx) (wac j wox))
+        ?:  &((gte j 40) (lte j 59))
+          :(sum (rol 0 5 a) fz e (wac 2 kbx) (wac j wox))
+        :(sum (rol 0 5 a) fy e (wac 3 kbx) (wac j wox))
+    $(j +(j), a tem, b a, c (rol 0 30 b), d c, e d)
+  --
+::    3f: scrambling
++|  %scrambling
+::
+++  un                                                  ::  =(x (wred (wren x)))
+  |%
+  ++  wren                                              ::  conceal structure
+    |=  pyn=@  ^-  @
+    =+  len=(met 3 pyn)
+    ?:  =(0 len)
+      0
+    =>  .(len (dec len))
+    =+  mig=(zaft (xafo len (cut 3 [len 1] pyn)))
+    %+  can  3
+    %-  flop  ^-  (list [@ @])
+    :-  [1 mig]
+    |-  ^-  (list [@ @])
+    ?:  =(0 len)
+      ~
+    =>  .(len (dec len))
+    =+  mog=(zyft :(mix mig (end 3 len) (cut 3 [len 1] pyn)))
+    [[1 mog] $(mig mog)]
+  ::
+  ++  wred                                              ::  restore structure
+    |=  cry=@  ^-  @
+    =+  len=(met 3 cry)
+    ?:  =(0 len)
+      0
+    =>  .(len (dec len))
+    =+  mig=(cut 3 [len 1] cry)
+    %+  can  3
+    %-  flop  ^-  (list [@ @])
+    :-  [1 (xaro len (zart mig))]
+    |-  ^-  (list [@ @])
+    ?:  =(0 len)
+      ~
+    =>  .(len (dec len))
+    =+  mog=(cut 3 [len 1] cry)
+    [[1 :(mix mig (end 3 len) (zyrt mog))] $(mig mog)]
+  ::
+  ++  xafo  |=([a=@ b=@] +((mod (add (dec b) a) 255)))
+  ++  xaro  |=([a=@ b=@] +((mod (add (dec b) (sub 255 (mod a 255))) 255)))
+  ::
+  ++  zaft                                              ::  forward 255-sbox
+    |=  a=@D
+    =+  ^=  b
+        0xcc.75bc.86c8.2fb1.9a42.f0b3.79a0.92ca.21f6.1e41.cde5.fcc0.
+        7e85.51ae.1005.c72d.1246.07e8.7c64.a914.8d69.d9f4.59c2.8038.
+        1f4a.dca2.6fdf.66f9.f561.a12e.5a16.f7b0.a39f.364e.cb70.7318.
+        1de1.ad31.63d1.abd4.db68.6a33.134d.a760.edee.5434.493a.e323.
+        930d.8f3d.3562.bb81.0b24.43cf.bea5.a6eb.52b4.0229.06b2.6704.
+        78c9.45ec.d75e.58af.c577.b7b9.c40e.017d.90c3.87f8.96fa.1153.
+        0372.7f30.1c32.ac83.ff17.c6e4.d36d.6b55.e2ce.8c71.8a5b.b6f3.
+        9d4b.eab5.8b3c.e7f2.a8fe.9574.5de0.bf20.3f15.9784.9939.5f9c.
+        e609.564f.d8a4.b825.9819.94aa.2c08.8e4c.9b22.477a.2840.3ed6.
+        3750.6ef1.44dd.89ef.6576.d00a.fbda.9ed2.3b6c.7b0c.bde9.2ade.
+        5c88.c182.481a.1b0f.2bfd.d591.2726.57ba
+    (cut 3 [(dec a) 1] b)
+  ::
+  ++  zart                                              ::  reverse 255-sbox
+    |=  a=@D
+    =+  ^=  b
+        0x68.4f07.ea1c.73c9.75c2.efc8.d559.5125.f621.a7a8.8591.5613.
+        dd52.40eb.65a2.60b7.4bcb.1123.ceb0.1bd6.3c84.2906.b164.19b3.
+        1e95.5fec.ffbc.f187.fbe2.6680.7c77.d30e.e94a.9414.fd9a.017d.
+        3a7e.5a55.8ff5.8bf9.c181.e5b6.6ab2.35da.50aa.9293.3bc0.cdc6.
+        f3bf.1a58.4130.f844.3846.744e.36a0.f205.789e.32d8.5e54.5c22.
+        0f76.fce7.4569.0d99.d26e.e879.dc16.2df4.887f.1ffe.4dba.6f5d.
+        bbcc.2663.1762.aed7.af8a.ca20.dbb4.9bc7.a942.834c.105b.c4d4.
+        8202.3e61.a671.90e6.273d.bdab.3157.cfa4.0c2e.df86.2496.f7ed.
+        2b48.2a9d.5318.a343.d128.be9c.a5ad.6bb5.6dfa.c5e1.3408.128d.
+        2c04.0339.97a1.2ff0.49d0.eeb8.6c0a.0b37.b967.c347.d9ac.e072.
+        e409.7b9f.1598.1d3f.33de.8ce3.8970.8e7a
+    (cut 3 [(dec a) 1] b)
+  ::
+  ++  zyft                                              ::  forward 256-sbox
+    |=  a=@D
+    =+  ^=  b
+        0xbb49.b71f.b881.b402.17e4.6b86.69b5.1647.115f.dddb.7ca5.
+          8371.4bd5.19a9.b092.605d.0d9b.e030.a0cc.78ba.5706.4d2d.
+          986a.768c.f8e8.c4c7.2f1c.effe.3cae.01c0.253e.65d3.3872.
+          ce0e.7a74.8ac6.daac.7e5c.6479.44ec.4143.3d20.4af0.ee6c.
+          c828.deca.0377.249f.ffcd.7b4f.eb7d.66f2.8951.042e.595a.
+          8e13.f9c3.a79a.f788.6199.9391.7fab.6200.4ce5.0758.e2f1.
+          7594.c945.d218.4248.afa1.e61a.54fb.1482.bea4.96a2.3473.
+          63c2.e7cb.155b.120a.4ed7.bfd8.b31b.4008.f329.fca3.5380.
+          9556.0cb2.8722.2bea.e96e.3ac5.d1bc.10e3.2c52.a62a.b1d6.
+          35aa.d05e.f6a8.0f3b.31ed.559d.09ad.f585.6d21.fd1d.8d67.
+          370b.26f4.70c1.b923.4684.6fbd.cf8b.5036.0539.9cdc.d93f.
+          9068.1edf.8f33.b632.d427.97fa.9ee1
+    (cut 3 [a 1] b)
+  ::
+  ++  zyrt                                              ::  reverse 256-sbox
+    |=  a=@D
+    =+  ^=  b
+        0x9fc8.2753.6e02.8fcf.8b35.2b20.5598.7caa.c9a9.30b0.9b48.
+          47ce.6371.80f6.407d.00dd.0aa5.ed10.ecb7.0f5a.5c3a.e605.
+          c077.4337.17bd.9eda.62a4.79a7.ccb8.44cd.8e64.1ec4.5b6b.
+          1842.ffd8.1dfb.fd07.f2f9.594c.3be3.73c6.2cb6.8438.e434.
+          8d3d.ea6a.5268.72db.a001.2e11.de8c.88d3.0369.4f7a.87e2.
+          860d.0991.25d0.16b9.978a.4bf4.2a1a.e96c.fa50.85b5.9aeb.
+          9dbb.b2d9.a2d1.7bba.66be.e81f.1946.29a8.f5d2.f30c.2499.
+          c1b3.6583.89e1.ee36.e0b4.6092.937e.d74e.2f6f.513e.9615.
+          9c5d.d581.e7ab.fe74.f01b.78b1.ae75.af57.0ec2.adc7.3245.
+          12bf.2314.3967.0806.31dc.cb94.d43f.493c.54a6.0421.c3a1.
+          1c4a.28ac.fc0b.26ca.5870.e576.f7f1.616d.905f.ef41.33bc.
+          df4d.225e.2d56.7fd6.1395.a3f8.c582
+    (cut 3 [a 1] b)
+  --
+::
+++  ob
+  ~%  %ob  ..ob
+    ==
+      %fein  fein
+      %fynd  fynd
+    ==
+  |%
+  ::
+  ::  +fein: conceal structure, v3.
+  ::
+  ::    +fein conceals planet-sized atoms.  The idea is that it should not be
+  ::    trivial to tell which planet a star has spawned under.
+  ::
+  ++  fein
+    ~/  %fein
+    |=  pyn=@  ^-  @
+    ?:  &((gte pyn 0x1.0000) (lte pyn 0xffff.ffff))
+      (add 0x1.0000 (feis (sub pyn 0x1.0000)))
+    ?:  &((gte pyn 0x1.0000.0000) (lte pyn 0xffff.ffff.ffff.ffff))
+      =/  lo  (dis pyn 0xffff.ffff)
+      =/  hi  (dis pyn 0xffff.ffff.0000.0000)
+      %+  con  hi
+      $(pyn lo)
+    pyn
+  ::
+  ::  +fynd: restore structure, v3.
+  ::
+  ::    Restores obfuscated values that have been enciphered with +fein.
+  ::
+  ++  fynd
+    ~/  %fynd
+    |=  cry=@  ^-  @
+    ?:  &((gte cry 0x1.0000) (lte cry 0xffff.ffff))
+      (add 0x1.0000 (tail (sub cry 0x1.0000)))
+    ?:  &((gte cry 0x1.0000.0000) (lte cry 0xffff.ffff.ffff.ffff))
+      =/  lo  (dis cry 0xffff.ffff)
+      =/  hi  (dis cry 0xffff.ffff.0000.0000)
+      %+  con  hi
+      $(cry lo)
+    cry
+  ::  +feis: a four-round generalised Feistel cipher over the domain
+  ::         [0, 2^32 - 2^16 - 1].
+  ::
+  ::    See: Black & Rogaway (2002), Ciphers for arbitrary finite domains.
+  ::
+  ++  feis
+    |=  m=@
+    ^-  @
+    (fee 4 0xffff 0x1.0000 (mul 0xffff 0x1.0000) eff m)
+  ::
+  ::  +tail: reverse +feis.
+  ::
+  ++  tail
+    |=  m=@
+    ^-  @
+    (feen 4 0xffff 0x1.0000 (mul 0xffff 0x1.0000) eff m)
+  ::
+  ::  +fee: "Fe" in B&R (2002).
+  ::
+  ::    A Feistel cipher given the following parameters:
+  ::
+  ::    r:    number of Feistel rounds
+  ::    a, b: parameters such that ab >= k
+  ::    k:    value such that the domain of the cipher is [0, k - 1]
+  ::    prf:  a gate denoting a family of pseudorandom functions indexed by
+  ::          its first argument and taking its second argument as input
+  ::    m:    an input value in the domain [0, k - 1]
+  ::
+  ++  fee
+    |=  [r=@ a=@ b=@ k=@ prf=$-([j=@ r=@] @) m=@]
+    ^-  @
+    =/  c  (fe r a b prf m)
+    ?:  (lth c k)
+      c
+    (fe r a b prf c)
+  ::
+  ::  +feen: "Fe^-1" in B&R (2002).
+  ::
+  ::    Reverses a Feistel cipher constructed with parameters as described in
+  ::    +fee.
+  ::
+  ++  feen
+    |=  [r=@ a=@ b=@ k=@ prf=$-([j=@ r=@] @) m=@]
+    ^-  @
+    =/  c  (fen r a b prf m)
+    ?:  (lth c k)
+      c
+    (fen r a b prf c)
+  ::
+  ::  +fe:  "fe" in B&R (2002).
+  ::
+  ::    An internal function to +fee.
+  ::
+  ::    Note that this implementation differs slightly from the reference paper
+  ::    to support some legacy behaviour.  See urbit/arvo#1105.
+  ::
+  ++  fe
+    |=  [r=@ a=@ b=@ prf=$-([j=@ r=@] @) m=@]
+    =/  j  1
+    =/  ell  (mod m a)
+    =/  arr  (div m a)
+    |-  ^-  @
+    ::
+    ?:  (gth j r)
+      ?.  =((mod r 2) 0)
+        (add (mul arr a) ell)
+      ::
+      :: Note that +fe differs from B&R (2002)'s "fe" below, as a previous
+      :: implementation of this cipher contained a bug such that certain inputs
+      :: could encipher to the same output.
+      ::
+      :: To correct these problem cases while also preserving the cipher's
+      :: legacy behaviour on most inputs, we check for a problem case (which
+      :: occurs when 'arr' is equal to 'a') and, if detected, use an alternate
+      :: permutation instead.
+      ::
+      ?:  =(arr a)
+        (add (mul arr a) ell)
+      (add (mul ell a) arr)
+    ::
+    =/  f  (prf (sub j 1) arr)
+    ::
+    =/  tmp
+      ?.  =((mod j 2) 0)
+        (mod (add f ell) a)
+      (mod (add f ell) b)
+    ::
+    $(j +(j), ell arr, arr tmp)
+  ::
+  ::  +fen:  "fe^-1" in B&R (2002).
+  ::
+  ::    Note that this implementation differs slightly from the reference paper
+  ::    to support some legacy behaviour.  See urbit/arvo#1105.
+  ::
+  ++  fen
+    |=  [r=@ a=@ b=@ prf=$-([j=@ r=@] @) m=@]
+    =/  j  r
+    ::
+    =/  ahh
+      ?.  =((mod r 2) 0)
+        (div m a)
+      (mod m a)
+    ::
+    =/  ale
+      ?.  =((mod r 2) 0)
+        (mod m a)
+      (div m a)
+    ::
+    :: Similar to the comment in +fe, +fen differs from B&R (2002)'s "fe^-1"
+    :: here in order to preserve the legacy cipher's behaviour on most inputs.
+    ::
+    :: Here problem cases can be identified by 'ahh' equating with 'a'; we
+    :: correct those cases by swapping the values of 'ahh' and 'ale'.
+    ::
+    =/  ell
+      ?:  =(ale a)
+        ahh
+      ale
+    ::
+    =/  arr
+      ?:  =(ale a)
+        ale
+      ahh
+    ::
+    |-  ^-  @
+    ?:  (lth j 1)
+      (add (mul arr a) ell)
+    =/  f  (prf (sub j 1) ell)
+    ::
+    ::  Note that there is a slight deviation here to avoid dealing with
+    ::  negative values.  We add 'a' or 'b' to arr as appropriate and reduce
+    ::  'f' modulo the same number before performing subtraction.
+    ::
+    =/  tmp
+      ?.  =((mod j 2) 0)
+        (mod (sub (add arr a) (mod f a)) a)
+      (mod (sub (add arr b) (mod f b)) b)
+    ::
+    $(j (sub j 1), ell tmp, arr ell)
+  ::
+  ::  +eff: a murmur3-based pseudorandom function.  'F' in B&R (2002).
+  ::
+  ++  eff
+    |=  [j=@ r=@]
+    ^-  @
+    (muk (snag j raku) 2 r)
+  ::
+  ::  +raku: seeds for eff.
+  ::
+  ++  raku
+    ^-  (list @ux)
+    :~  0xb76d.5eed
+        0xee28.1300
+        0x85bc.ae01
+        0x4b38.7af7
+    ==
+  ::
+  --
+::
+::    3g: molds and mold builders
++|  %molds-and-mold-builders
+::
++$  coin  $~  [%$ %ud 0]                                ::  print format
+          $%  [%$ p=dime]                               ::
+              [%blob p=*]                               ::
+              [%many p=(list coin)]                     ::
+          ==                                            ::
++$  dime  [p=@ta q=@]                                   ::
++$  edge  [p=hair q=(unit [p=* q=nail])]                ::  parsing output
++$  hair  [p=@ud q=@ud]                                 ::  parsing trace
+++  like  |*  a=$-(* *)                                 ::  generic edge
+          |:  b=`*`[(hair) ~]                           ::
+          :-  p=(hair -.b)                              ::
+          ^=  q                                         ::
+          ?@  +.b  ~                                    ::
+          :-  ~                                         ::
+          u=[p=(a +>-.b) q=[p=(hair -.b) q=(tape +.b)]] ::
++$  nail  [p=hair q=tape]                               ::  parsing input
++$  pint  [p=[p=@ q=@] q=[p=@ q=@]]                     ::  line+column range
++$  rule  _|:($:nail $:edge)                            ::  parsing rule
++$  spot  [p=path q=pint]                               ::  range in file
++$  tone  $%  [%0 product=*]                            ::  success
+              [%1 block=*]                              ::  single block
+              [%2 trace=(list [@ta *])]                 ::  error report
+          ==                                            ::
++$  toon  $%  [%0 p=*]                                  ::  success
+              [%1 p=*]                                  ::  block
+              [%2 p=(list tank)]                        ::  stack trace
+          ==                                            ::
+++  wonk  |*  veq=_$:edge                                ::  product from edge
+          ?~(q.veq !! p.u.q.veq)             ::
+--  =>
+::
+~%    %qua
+    +
+  ==
+    %mure  mure
+    %mute  mute
+    %show  show
+  ==
+::    layer-4
+::
+|%
+::
+::    4a: exotic bases
++|  %exotic-bases
+::
+++  po                                                  ::  phonetic base
+  ~/  %po
+  =+  :-  ^=  sis                                       ::  prefix syllables
+      'dozmarbinwansamlitsighidfidlissogdirwacsabwissib\
+      /rigsoldopmodfoglidhopdardorlorhodfolrintogsilmir\
+      /holpaslacrovlivdalsatlibtabhanticpidtorbolfosdot\
+      /losdilforpilramtirwintadbicdifrocwidbisdasmidlop\
+      /rilnardapmolsanlocnovsitnidtipsicropwitnatpanmin\
+      /ritpodmottamtolsavposnapnopsomfinfonbanmorworsip\
+      /ronnorbotwicsocwatdolmagpicdavbidbaltimtasmallig\
+      /sivtagpadsaldivdactansidfabtarmonranniswolmispal\
+      /lasdismaprabtobrollatlonnodnavfignomnibpagsopral\
+      /bilhaddocridmocpacravripfaltodtiltinhapmicfanpat\
+      /taclabmogsimsonpinlomrictapfirhasbosbatpochactid\
+      /havsaplindibhosdabbitbarracparloddosbortochilmac\
+      /tomdigfilfasmithobharmighinradmashalraglagfadtop\
+      /mophabnilnosmilfopfamdatnoldinhatnacrisfotribhoc\
+      /nimlarfitwalrapsarnalmoslandondanladdovrivbacpol\
+      /laptalpitnambonrostonfodponsovnocsorlavmatmipfip'
+      ^=  dex                                           ::  suffix syllables
+      'zodnecbudwessevpersutletfulpensytdurwepserwylsun\
+      /rypsyxdyrnuphebpeglupdepdysputlughecryttyvsydnex\
+      /lunmeplutseppesdelsulpedtemledtulmetwenbynhexfeb\
+      /pyldulhetmevruttylwydtepbesdexsefwycburderneppur\
+      /rysrebdennutsubpetrulsynregtydsupsemwynrecmegnet\
+      /secmulnymtevwebsummutnyxrextebfushepbenmuswyxsym\
+      /selrucdecwexsyrwetdylmynmesdetbetbeltuxtugmyrpel\
+      /syptermebsetdutdegtexsurfeltudnuxruxrenwytnubmed\
+      /lytdusnebrumtynseglyxpunresredfunrevrefmectedrus\
+      /bexlebduxrynnumpyxrygryxfeptyrtustyclegnemfermer\
+      /tenlusnussyltecmexpubrymtucfyllepdebbermughuttun\
+      /bylsudpemdevlurdefbusbeprunmelpexdytbyttyplevmyl\
+      /wedducfurfexnulluclennerlexrupnedlecrydlydfenwel\
+      /nydhusrelrudneshesfetdesretdunlernyrsebhulryllud\
+      /remlysfynwerrycsugnysnyllyndyndemluxfedsedbecmun\
+      /lyrtesmudnytbyrsenwegfyrmurtelreptegpecnelnevfes'
+  |%
+  ++  ins  ~/  %ins                                     ::  parse prefix
+           |=  a=@tas
+           =+  b=0
+           |-  ^-  (unit @)
+           ?:(=(256 b) ~ ?:(=(a (tos b)) [~ b] $(b +(b))))
+  ++  ind  ~/  %ind                                     ::  parse suffix
+           |=  a=@tas
+           =+  b=0
+           |-  ^-  (unit @)
+           ?:(=(256 b) ~ ?:(=(a (tod b)) [~ b] $(b +(b))))
+  ++  tos  ~/  %tos                                     ::  fetch prefix
+           |=(a=@ ?>((lth a 256) (cut 3 [(mul 3 a) 3] sis)))
+  ++  tod  ~/  %tod                                     ::  fetch suffix
+           |=(a=@ ?>((lth a 256) (cut 3 [(mul 3 a) 3] dex)))
+  --
+::
+++  fa                                                  ::  base58check
+  =+  key='123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz'
+  =/  yek=@ux  ~+
+      =-  yek:(roll (rip 3 key) -)
+      =+  [a=*char b=*@ yek=`@ux`(fil 3 256 0xff)]
+      |.
+      [+(b) (mix yek (lsh [3 `@u`a] (~(inv fe 3) b)))]
+  |%
+  ++  cha  |=(a=char `(unit @uF)`=+(b=(cut 3 [`@`a 1] yek) ?:(=(b 0xff) ~ `b)))
+  ++  tok
+    |=  a=@ux  ^-  @ux
+    =+  b=(pad a)
+    =-  (~(net fe 5) (end [3 4] (shay 32 -)))
+    (shay (add b (met 3 a)) (lsh [3 b] (swp 3 a)))
+  ::
+  ++  pad  |=(a=@ =+(b=(met 3 a) ?:((gte b 21) 0 (sub 21 b))))
+  ++  enc  |=(a=@ux `@ux`(mix (lsh [3 4] a) (tok a)))
+  ++  den
+    |=  a=@ux  ^-  (unit @ux)
+    =+  b=(rsh [3 4] a)
+    ?.  =((tok b) (end [3 4] a))
+      ~
+    `b
+  --
+::    4b: text processing
++|  %text-processing
+::
+++  at                                                  ::  basic printing
+  |_  a=@
+  ++  r
+    ?:  ?&  (gte (met 3 a) 2)
+            |-
+            ?:  =(0 a)
+              &
+            =+  vis=(end 3 a)
+            ?&  ?|(=('-' vis) ?&((gte vis 'a') (lte vis 'z')))
+                $(a (rsh 3 a))
+            ==
+        ==
+      rtam
+    ?:  (lte (met 3 a) 2)
+      rud
+    rux
+  ::
+  ++  rf    `tape`[?-(a %& '&', %| '|', * !!) ~]
+  ++  rn    `tape`[?>(=(0 a) '~') ~]
+  ++  rt    `tape`['\'' (weld (mesc (trip a)) `tape`['\'' ~])]
+  ++  rta   rt
+  ++  rtam  `tape`['%' (trip a)]
+  ++  rub   `tape`['0' 'b' (rum 2 ~ |=(b=@ (add '0' b)))]
+  ++  rud   (rum 10 ~ |=(b=@ (add '0' b)))
+  ++  rum
+    |=  [b=@ c=tape d=$-(@ @)]
+    ^-  tape
+    ?:  =(0 a)
+      [(d 0) c]
+    =+  e=0
+    |-  ^-  tape
+    ?:  =(0 a)
+      c
+    =+  f=&(!=(0 e) =(0 (mod e ?:(=(10 b) 3 4))))
+    %=  $
+      a  (div a b)
+      c  [(d (mod a b)) ?:(f [?:(=(10 b) ',' '-') c] c)]
+      e  +(e)
+    ==
+  ::
+  ++  rup
+    =+  b=(met 3 a)
+    ^-  tape
+    :-  '-'
+    |-  ^-  tape
+    ?:  (gth (met 5 a) 1)
+      %+  weld
+        $(a (rsh 5 a), b (sub b 4))
+      `tape`['-' '-' $(a (end 5 a), b 4)]
+    ?:  =(0 b)
+      ['~' ~]
+    ?:  (lte b 1)
+      (trip (tos:po a))
+    |-  ^-  tape
+    ?:  =(2 b)
+      =+  c=(rsh 3 a)
+      =+  d=(end 3 a)
+      (weld (trip (tod:po c)) (trip (tos:po (mix c d))))
+    =+  c=(rsh [3 2] a)
+    =+  d=(end [3 2] a)
+    (weld ^$(a c, b (met 3 c)) `tape`['-' $(a (mix c d), b 2)])
+  ::
+  ++  ruv
+    ^-  tape
+    :+  '0'
+      'v'
+    %^    rum
+        64
+      ~
+    |=  b=@
+    ?:  =(63 b)
+      '+'
+    ?:  =(62 b)
+      '-'
+    ?:((lth b 26) (add 65 b) ?:((lth b 52) (add 71 b) (sub b 4)))
+  ::
+  ++  rux  `tape`['0' 'x' (rum 16 ~ |=(b=@ (add b ?:((lth b 10) 48 87))))]
+  --
+++  cass                                                ::  lowercase
+  |=  vib=tape
+  ^-  tape
+  (turn vib |=(a=@ ?.(&((gte a 'A') (lte a 'Z')) a (add 32 a))))
+::
+++  cuss                                                ::  uppercase
+  |=  vib=tape
+  ^-  tape
+  (turn vib |=(a=@ ?.(&((gte a 'a') (lte a 'z')) a (sub a 32))))
+::
+++  crip  |=(a=tape `@t`(rap 3 a))                      ::  tape to cord
+::
+++  mesc                                                ::  ctrl code escape
+  |=  vib=tape
+  ^-  tape
+  ?~  vib
+    ~
+  ?:  =('\\' i.vib)
+    ['\\' '\\' $(vib t.vib)]
+  ?:  ?|((gth i.vib 126) (lth i.vib 32) =(`@`39 i.vib))
+    ['\\' (welp ~(rux at i.vib) '/' $(vib t.vib))]
+  [i.vib $(vib t.vib)]
+::
+++  runt                                                ::  prepend repeatedly
+  |=  [[a=@ b=@] c=tape]
+  ^-  tape
+  ?:  =(0 a)
+    c
+  [b $(a (dec a))]
+::
+++  sand                                                ::  atom sanity
+  |=  a=@ta
+  (flit (sane a))
+::
+++  sane                                                ::  atom sanity
+  |=  a=@ta
+  |=  b=@  ^-  ?
+  ?.  =(%t (end 3 a))
+    ::  XX more and better sanity
+    ::
+    &
+  =+  [inx=0 len=(met 3 b)]
+  ?:  =(%tas a)
+    |-  ^-  ?
+    ?:  =(inx len)  &
+    =+  cur=(cut 3 [inx 1] b)
+    ?&  ?|  &((gte cur 'a') (lte cur 'z'))
+            &(=('-' cur) !=(0 inx) !=(len inx))
+            &(&((gte cur '0') (lte cur '9')) !=(0 inx))
+        ==
+        $(inx +(inx))
+    ==
+  ?:  =(%ta a)
+    |-  ^-  ?
+    ?:  =(inx len)  &
+    =+  cur=(cut 3 [inx 1] b)
+    ?&  ?|  &((gte cur 'a') (lte cur 'z'))
+            &((gte cur '0') (lte cur '9'))
+            |(=('-' cur) =('~' cur) =('_' cur) =('.' cur))
+        ==
+        $(inx +(inx))
+    ==
+  |-  ^-  ?
+  ?:  =(inx len)  &
+  =+  cur=(cut 3 [inx 1] b)
+  ?:  &((lth cur 32) !=(10 cur))  |
+  =+  tef=(teff cur)
+  ?&  ?|  =(1 tef)
+          =+  i=1
+          |-  ^-  ?
+          ?|  =(i tef)
+              ?&  (gte (cut 3 [(add i inx) 1] b) 128)
+                  $(i +(i))
+      ==  ==  ==
+      $(inx (add inx tef))
+  ==
+::
+++  ruth                                                ::  biblical sanity
+  |=  [a=@ta b=*]
+  ^-  @
+  ?^  b  !!
+  ::  ?.  ((sane a) b)  !!
+  b
+::
+++  trim                                                ::  tape split
+  |=  [a=@ b=tape]
+  ^-  [p=tape q=tape]
+  ?~  b
+    [~ ~]
+  ?:  =(0 a)
+    [~ b]
+  =+  c=$(a (dec a), b t.b)
+  [[i.b p.c] q.c]
+::
+++  trip                                                ::  cord to tape
+  ~/  %trip
+  |=  a=@  ^-  tape
+  ?:  =(0 (met 3 a))
+    ~
+  [^-(@ta (end 3 a)) $(a (rsh 3 a))]
+::
+++  teff                                                ::  length utf8
+  |=  a=@t  ^-  @
+  =+  b=(end 3 a)
+  ?:  =(0 b)
+    ?>(=(`@`0 a) 0)
+  ?>  |((gte b 32) =(10 b))
+  ?:((lte b 127) 1 ?:((lte b 223) 2 ?:((lte b 239) 3 4)))
+::
+++  taft                                                ::  utf8 to utf32
+  |=  a=@t
+  ^-  @c
+  %+  rap  5
+  |-  ^-  (list @c)
+  =+  b=(teff a)
+  ?:  =(0 b)  ~
+  =+  ^=  c
+      %+  can  0
+      %+  turn
+        ^-  (list [p=@ q=@])
+        ?+  b  !!
+          %1  [[0 7] ~]
+          %2  [[8 6] [0 5] ~]
+          %3  [[16 6] [8 6] [0 4] ~]
+          %4  [[24 6] [16 6] [8 6] [0 3] ~]
+        ==
+      |=([p=@ q=@] [q (cut 0 [p q] a)])
+  ?>  =((tuft c) (end [3 b] a))
+  [c $(a (rsh [3 b] a))]
+::
+++  tuba                                                ::  utf8 to utf32 tape
+  |=  a=tape
+  ^-  (list @c)
+  (rip 5 (taft (rap 3 a)))                              ::  XX horrible
+::
+++  tufa                                                ::  utf32 to utf8 tape
+  |=  a=(list @c)
+  ^-  tape
+  ?~  a  ""
+  (weld (rip 3 (tuft i.a)) $(a t.a))
+::
+++  tuft                                                ::  utf32 to utf8 text
+  |=  a=@c
+  ^-  @t
+  %+  rap  3
+  |-  ^-  (list @)
+  ?:  =(`@`0 a)
+    ~
+  =+  b=(end 5 a)
+  =+  c=$(a (rsh 5 a))
+  ?:  (lte b 0x7f)
+    [b c]
+  ?:  (lte b 0x7ff)
+    :*  (mix 0b1100.0000 (cut 0 [6 5] b))
+        (mix 0b1000.0000 (end [0 6] b))
+        c
+    ==
+  ?:  (lte b 0xffff)
+    :*  (mix 0b1110.0000 (cut 0 [12 4] b))
+        (mix 0b1000.0000 (cut 0 [6 6] b))
+        (mix 0b1000.0000 (end [0 6] b))
+        c
+    ==
+  :*  (mix 0b1111.0000 (cut 0 [18 3] b))
+      (mix 0b1000.0000 (cut 0 [12 6] b))
+      (mix 0b1000.0000 (cut 0 [6 6] b))
+      (mix 0b1000.0000 (end [0 6] b))
+      c
+  ==
+::
+++  wack                                                ::  knot escape
+  |=  a=@ta
+  ^-  @ta
+  =+  b=(rip 3 a)
+  %+  rap  3
+  |-  ^-  tape
+  ?~  b
+    ~
+  ?:  =('~' i.b)  ['~' '~' $(b t.b)]
+  ?:  =('_' i.b)  ['~' '-' $(b t.b)]
+  [i.b $(b t.b)]
+::
+++  wick                                                ::  knot unescape
+  |=  a=@
+  ^-  (unit @ta)
+  =+  b=(rip 3 a)
+  =-  ?^(b ~ (some (rap 3 (flop c))))
+  =|  c=tape
+  |-  ^-  [b=tape c=tape]
+  ?~  b  [~ c]
+  ?.  =('~' i.b)
+    $(b t.b, c [i.b c])
+  ?~  t.b  [b ~]
+  ?-  i.t.b
+    %'~'  $(b t.t.b, c ['~' c])
+    %'-'  $(b t.t.b, c ['_' c])
+    @     [b ~]
+  ==
+::
+++  woad                                                ::  cord unescape
+  |=  a=@ta
+  ^-  @t
+  %+  rap  3
+  |-  ^-  (list @)
+  ?:  =(`@`0 a)
+    ~
+  =+  b=(end 3 a)
+  =+  c=(rsh 3 a)
+  ?:  =('.' b)
+    [' ' $(a c)]
+  ?.  =('~' b)
+    [b $(a c)]
+  =>  .(b (end 3 c), c (rsh 3 c))
+  ?+  b  =-  (weld (rip 3 (tuft p.d)) $(a q.d))
+         ^=  d
+         =+  d=0
+         |-  ^-  [p=@ q=@]
+         ?:  =('.' b)
+           [d c]
+         ?<  =(0 c)
+         %=    $
+            b  (end 3 c)
+            c  (rsh 3 c)
+            d  %+  add  (mul 16 d)
+               %+  sub  b
+               ?:  &((gte b '0') (lte b '9'))  48
+               ?>(&((gte b 'a') (lte b 'z')) 87)
+         ==
+    %'.'  ['.' $(a c)]
+    %'~'  ['~' $(a c)]
+  ==
+::
+++  wood                                                ::  cord escape
+  |=  a=@t
+  ^-  @ta
+  %+  rap  3
+  |-  ^-  (list @)
+  ?:  =(`@`0 a)
+    ~
+  =+  b=(teff a)
+  =+  c=(taft (end [3 b] a))
+  =+  d=$(a (rsh [3 b] a))
+  ?:  ?|  &((gte c 'a') (lte c 'z'))
+          &((gte c '0') (lte c '9'))
+          =(`@`'-' c)
+      ==
+    [c d]
+  ?+  c
+    :-  '~'
+    =+  e=(met 2 c)
+    |-  ^-  tape
+    ?:  =(0 e)
+      ['.' d]
+    =.  e  (dec e)
+    =+  f=(rsh [2 e] c)
+    [(add ?:((lte f 9) 48 87) f) $(c (end [2 e] c))]
+  ::
+    %' '  ['.' d]
+    %'.'  ['~' '.' d]
+    %'~'  ['~' '~' d]
+  ==
+::
+::  4c: tank printer
++|  %tank-printer
+::
+++  wash                                                ::  render tank at width
+  |=  [[tab=@ edg=@] tac=tank]  ^-  wall
+  (~(win re tac) tab edg)
+::
+::  +re: tank renderer
+::
+++  re
+  |_  tac=tank
+  ::  +ram: render a tank to one line (flat)
+  ::
+  ++  ram
+    ^-  tape
+    ?@  tac
+      (trip tac)
+    ?-    -.tac
+        %leaf  p.tac
+    ::
+    ::  flat %palm rendered as %rose with welded openers
+    ::
+        %palm
+      =*  mid  p.p.tac
+      =*  for  (weld q.p.tac r.p.tac)
+      =*  end  s.p.tac
+      ram(tac [%rose [mid for end] q.tac])
+    ::
+    ::  flat %rose rendered with open/mid/close
+    ::
+        %rose
+      =*  mid  p.p.tac
+      =*  for  q.p.tac
+      =*  end  r.p.tac
+      =*  lit  q.tac
+      %+  weld
+        for
+      |-  ^-  tape
+      ?~  lit
+        end
+      %+  weld
+        ram(tac i.lit)
+      =*  voz  $(lit t.lit)
+      ?~(t.lit voz (weld mid voz))
+    ==
+  ::  +win: render a tank to multiple lines (tall)
+  ::
+  ::    indented by .tab, soft-wrapped at .edg
+  ::
+  ++  win
+    |=  [tab=@ud edg=@ud]
+    ::  output stack
+    ::
+    =|  lug=wall
+    |^  ^-  wall
+        ?@  tac
+          (rig (trip tac))
+        ?-    -.tac
+            %leaf  (rig p.tac)
+        ::
+            %palm
+          =/  hom  ram
+          ?:  (lte (lent hom) (sub edg tab))
+            (rig hom)
+          ::
+          =*  for  q.p.tac
+          =*  lit  q.tac
+          ?~  lit
+            (rig for)
+          ?~  t.lit
+            =:  tab  (add 2 tab)
+                lug  $(tac i.lit)
+              ==
+            (rig for)
+          ::
+          =>  .(lit `(list tank)`lit)
+          =/  lyn  (mul 2 (lent lit))
+          =.  lug
+            |-  ^-  wall
+            ?~  lit
+              lug
+            =/  nyl  (sub lyn 2)
+            %=  ^$
+              tac  i.lit
+              tab  (add tab nyl)
+              lug  $(lit t.lit, lyn nyl)
+            ==
+          (wig for)
+        ::
+            %rose
+          =/  hom  ram
+          ?:  (lte (lent hom) (sub edg tab))
+            (rig hom)
+          ::
+          =*  for  q.p.tac
+          =*  end  r.p.tac
+          =*  lit  q.tac
+          =.  lug
+            |-  ^-  wall
+            ?~  lit
+              ?~(end lug (rig end))
+            %=  ^$
+              tac  i.lit
+              tab  (mod (add 2 tab) (mul 2 (div edg 3)))
+              lug  $(lit t.lit)
+            ==
+          ?~(for lug (wig for))
+        ==
+    ::  +rig: indent tape and cons with output stack
+    ::
+    ++  rig
+      |=  hom=tape
+      ^-  wall
+      [(runt [tab ' '] hom) lug]
+    ::  +wig: indent tape and cons with output stack
+    ::
+    ::    joined with the top line if whitespace/indentation allow
+    ::
+    ++  wig
+      |=  hom=tape
+      ^-  wall
+      ?~  lug
+        (rig hom)
+      =/  wug  :(add 1 tab (lent hom))
+      ?.  =+  mir=i.lug
+          |-  ^-  ?
+          ?~  mir  |
+          ?|  =(0 wug)
+              ?&(=(' ' i.mir) $(mir t.mir, wug (dec wug)))
+          ==
+        (rig hom)       :: ^ XX regular form?
+      :_  t.lug
+      %+  runt  [tab ' ']
+      (weld hom `tape`[' ' (slag wug i.lug)])
+    --
+  --
+++  show                                                ::  XX deprecated!
+  |=  vem=*
+  |^  ^-  tank
+      ?:  ?=(@ vem)
+        [%leaf (mesc (trip vem))]
+      ?-    vem
+          [s=~ c=*]
+        [%leaf '\'' (weld (mesc (tape +.vem)) `tape`['\'' ~])]
+      ::
+          [s=%a c=@]        [%leaf (mesc (trip c.vem))]
+          [s=%b c=*]        (shop c.vem |=(a=@ ~(rub at a)))
+          [s=[%c p=@] c=*]
+        :+  %palm
+          [['.' ~] ['-' ~] ~ ~]
+        [[%leaf (mesc (trip p.s.vem))] $(vem c.vem) ~]
+      ::
+          [s=%d c=*]        (shop c.vem |=(a=@ ~(rud at a)))
+          [s=%k c=*]        (tank c.vem)
+          [s=%h c=*]
+        :+  %rose
+          [['/' ~] ['/' ~] ~]
+        =+  yol=((list @ta) c.vem)
+        (turn yol |=(a=@ta [%leaf (trip a)]))
+      ::
+          [s=%l c=*]        (shol c.vem)
+          [s=%o c=*]
+        %=    $
+            vem
+          :-  [%m '%h::[%d %d].[%d %d]>']
+          [-.c.vem +<-.c.vem +<+.c.vem +>-.c.vem +>+.c.vem ~]
+        ==
+      ::
+          [s=%p c=*]        (shop c.vem |=(a=@ ~(rup at a)))
+          [s=%q c=*]        (shop c.vem |=(a=@ ~(r at a)))
+          [s=%r c=*]        $(vem [[%r ' ' '{' '}'] c.vem])
+          [s=%t c=*]        (shop c.vem |=(a=@ ~(rt at a)))
+          [s=%v c=*]        (shop c.vem |=(a=@ ~(ruv at a)))
+          [s=%x c=*]        (shop c.vem |=(a=@ ~(rux at a)))
+          [s=[%m p=@] c=*]  (shep p.s.vem c.vem)
+          [s=[%r p=@] c=*]
+        $(vem [[%r ' ' (cut 3 [0 1] p.s.vem) (cut 3 [1 1] p.s.vem)] c.vem])
+      ::
+          [s=[%r p=@ q=@ r=@] c=*]
+        :+  %rose
+          :*  p=(mesc (trip p.s.vem))
+              q=(mesc (trip q.s.vem))
+              r=(mesc (trip r.s.vem))
+          ==
+        |-  ^-  (list tank)
+        ?@  c.vem
+          ~
+        [^$(vem -.c.vem) $(c.vem +.c.vem)]
+      ::
+          [s=%z c=*]        $(vem [[%r %$ %$ %$] c.vem])
+          *                 !!
+      ==
+  ++  shep
+    |=  [fom=@ gar=*]
+    ^-  tank
+    =+  l=(met 3 fom)
+    =+  i=0
+    :-  %leaf
+    |-  ^-  tape
+    ?:  (gte i l)
+      ~
+    =+  c=(cut 3 [i 1] fom)
+    ?.  =(37 c)
+      (weld (mesc [c ~]) $(i +(i)))
+    =+  d=(cut 3 [+(i) 1] fom)
+    ?.  .?(gar)
+      ['\\' '#' $(i (add 2 i))]
+    (weld ~(ram re (show d -.gar)) $(i (add 2 i), gar +.gar))
+  ::
+  ++  shop
+    |=  [aug=* vel=$-(a=@ tape)]
+    ^-  tank
+    ?:  ?=(@ aug)
+      [%leaf (vel aug)]
+    :+  %rose
+      [[' ' ~] ['[' ~] [']' ~]]
+    =>  .(aug `*`aug)
+    |-  ^-  (list tank)
+    ?:  ?=(@ aug)
+      [^$ ~]
+    [^$(aug -.aug) $(aug +.aug)]
+  ::
+  ++  shol
+    |=  lim=*
+    :+  %rose
+      [['.' ~] ~ ~]
+    |-    ^-  (list tank)
+    ?:  ?=(@ lim)  ~
+    :_  $(lim +.lim)
+    ?+  -.lim  (show '#')
+        ~   (show '$')
+        c=@  (show c.lim)
+        [%& %1]  (show '.')
+        [%& c=@]
+      [%leaf '+' ~(rud at c.lim)]
+    ::
+        [%| @ ~]  (show ',')
+        [%| n=@ ~ c=@]
+      [%leaf (weld (reap n.lim '^') ?~(c.lim "$" (trip c.lim)))]
+    ==
+  --
+::
+::    4d: parsing (tracing)
++|  %parsing-tracing
+::
+++  last  |=  [zyc=hair naz=hair]                       ::  farther trace
+          ^-  hair
+          ?:  =(p.zyc p.naz)
+            ?:((gth q.zyc q.naz) zyc naz)
+          ?:((gth p.zyc p.naz) zyc naz)
+::
+++  lust  |=  [weq=char naz=hair]                       ::  detect newline
+          ^-  hair
+          ?:(=(`@`10 weq) [+(p.naz) 1] [p.naz +(q.naz)])
+::
+::    4e: parsing (combinators)
++|  %parsing-combinators
+::
+++  bend                                                ::  conditional comp
+  ~/  %bend
+  |*  raq=_|*([a=* b=*] [~ u=[a b]])
+  ~/  %fun
+  |*  [vex=edge sab=rule]
+  ?~  q.vex
+    vex
+  =+  yit=(sab q.u.q.vex)
+  =+  yur=(last p.vex p.yit)
+  ?~  q.yit
+    [p=yur q=q.vex]
+  =+  vux=(raq p.u.q.vex p.u.q.yit)
+  ?~  vux
+    [p=yur q=q.vex]
+  [p=yur q=[~ u=[p=u.vux q=q.u.q.yit]]]
+::
+++  comp
+  ~/  %comp
+  |*  raq=_|*([a=* b=*] [a b])                           ::  arbitrary compose
+  ~/  %fun
+  |*  [vex=edge sab=rule]
+  ~!  +<
+  ?~  q.vex
+    vex
+  =+  yit=(sab q.u.q.vex)
+  =+  yur=(last p.vex p.yit)
+  ?~  q.yit
+    [p=yur q=q.yit]
+  [p=yur q=[~ u=[p=(raq p.u.q.vex p.u.q.yit) q=q.u.q.yit]]]
+::
+++  fail  |=(tub=nail [p=p.tub q=~])                    ::  never parse
+++  glue                                                ::  add rule
+  ~/  %glue
+  |*  bus=rule
+  ~/  %fun
+  |*  [vex=edge sab=rule]
+  (plug vex ;~(pfix bus sab))
+::
+++  less                                                ::  no first and second
+  |*  [vex=edge sab=rule]
+  ?~  q.vex
+    =+  roq=(sab)
+    [p=(last p.vex p.roq) q=q.roq]
+  (fail +<.sab)
+::
+++  pfix                                                ::  discard first rule
+  ~/  %pfix
+  |*  sam=[vex=edge sab=rule]
+  %.  sam
+  (comp |*([a=* b=*] b))
+::
+++  plug                                                ::  first then second
+  ~/  %plug
+  |*  [vex=edge sab=rule]
+  ?~  q.vex
+    vex
+  =+  yit=(sab q.u.q.vex)
+  =+  yur=(last p.vex p.yit)
+  ?~  q.yit
+    [p=yur q=q.yit]
+  [p=yur q=[~ u=[p=[p.u.q.vex p.u.q.yit] q=q.u.q.yit]]]
+::
+++  pose                                                ::  first or second
+  ~/  %pose
+  |*  [vex=edge sab=rule]
+  ?~  q.vex
+    =+  roq=(sab)
+    [p=(last p.vex p.roq) q=q.roq]
+  vex
+::
+++  simu                                                ::  first and second
+  |*  [vex=edge sab=rule]
+  ?~  q.vex
+    vex
+  =+  roq=(sab)
+  roq
+::
+++  sfix                                                ::  discard second rule
+  ~/  %sfix
+  |*  sam=[vex=edge sab=rule]
+  %.  sam
+  (comp |*([a=* b=*] a))
+::
+::    4f: parsing (rule builders)
++|  %parsing-rule-builders
+::
+++  bass                                                ::  leftmost base
+  |*  [wuc=@ tyd=rule]
+  %+  cook
+    |=  waq=(list @)
+    %+  roll
+      waq
+    =|([p=@ q=@] |.((add p (mul wuc q))))
+  tyd
+::
+++  boss                                                ::  rightmost base
+  |*  [wuc=@ tyd=rule]
+  %+  cook
+    |=  waq=(list @)
+    %+  reel
+      waq
+    =|([p=@ q=@] |.((add p (mul wuc q))))
+  tyd
+::
+++  cold                                                ::  replace w+ constant
+  ~/  %cold
+  |*  [cus=* sef=rule]
+  ~/  %fun
+  |=  tub=nail
+  =+  vex=(sef tub)
+  ?~  q.vex
+    vex
+  [p=p.vex q=[~ u=[p=cus q=q.u.q.vex]]]
+::
+++  cook                                                ::  apply gate
+  ~/  %cook
+  |*  [poq=gate sef=rule]
+  ~/  %fun
+  |=  tub=nail
+  =+  vex=(sef tub)
+  ?~  q.vex
+    vex
+  [p=p.vex q=[~ u=[p=(poq p.u.q.vex) q=q.u.q.vex]]]
+::
+++  easy                                                ::  always parse
+  ~/  %easy
+  |*  huf=*
+  ~/  %fun
+  |=  tub=nail
+  ^-  (like _huf)
+  [p=p.tub q=[~ u=[p=huf q=tub]]]
+::
+++  fuss
+  |=  [sic=@t non=@t]
+  ;~(pose (cold %& (jest sic)) (cold %| (jest non)))
+::
+++  full                                                ::  has to fully parse
+  |*  sef=rule
+  |=  tub=nail
+  =+  vex=(sef tub)
+  ?~(q.vex vex ?:(=(~ q.q.u.q.vex) vex [p=p.vex q=~]))
+::
+++  funk                                                ::  add to tape first
+  |*  [pre=tape sef=rule]
+  |=  tub=nail
+  (sef p.tub (weld pre q.tub))
+::
+++  here                                                ::  place-based apply
+  ~/  %here
+  |*  [hez=_|=([a=pint b=*] [a b]) sef=rule]
+  ~/  %fun
+  |=  tub=nail
+  =+  vex=(sef tub)
+  ?~  q.vex
+    vex
+  [p=p.vex q=[~ u=[p=(hez [p.tub p.q.u.q.vex] p.u.q.vex) q=q.u.q.vex]]]
+::
+++  inde  |*  sef=rule                                  :: indentation block
+  |=  nail  ^+  (sef)
+  =+  [har tap]=[p q]:+<
+  =+  lev=(fil 3 (dec q.har) ' ')
+  =+  eol=(just `@t`10)
+  =+  =-  roq=((star ;~(pose prn ;~(sfix eol (jest lev)) -)) har tap)
+      ;~(simu ;~(plug eol eol) eol)
+  ?~  q.roq  roq
+  =+  vex=(sef har(q 1) p.u.q.roq)
+  =+  fur=p.vex(q (add (dec q.har) q.p.vex))
+  ?~  q.vex  vex(p fur)
+  =-  vex(p fur, u.q -)
+  :+  &3.vex
+    &4.vex(q.p (add (dec q.har) q.p.&4.vex))
+  =+  res=|4.vex
+  |-  ?~  res  |4.roq
+  ?.  =(10 -.res)  [-.res $(res +.res)]
+  (welp [`@t`10 (trip lev)] $(res +.res))
+::
+++  ifix
+  |*  [fel=[rule rule] hof=rule]
+  ~!  +<
+  ~!  +<:-.fel
+  ~!  +<:+.fel
+  ;~(pfix -.fel ;~(sfix hof +.fel))
+::
+++  jest                                                ::  match a cord
+  |=  daf=@t
+  |=  tub=nail
+  =+  fad=daf
+  |-  ^-  (like @t)
+  ?:  =(`@`0 daf)
+    [p=p.tub q=[~ u=[p=fad q=tub]]]
+  ?:  |(?=(~ q.tub) !=((end 3 daf) i.q.tub))
+    (fail tub)
+  $(p.tub (lust i.q.tub p.tub), q.tub t.q.tub, daf (rsh 3 daf))
+::
+++  just                                                ::  XX redundant, jest
+  ~/  %just                                             ::  match a char
+  |=  daf=char
+  ~/  %fun
+  |=  tub=nail
+  ^-  (like char)
+  ?~  q.tub
+    (fail tub)
+  ?.  =(daf i.q.tub)
+    (fail tub)
+  (next tub)
+::
+++  knee                                                ::  callbacks
+  |*  [gar=* sef=_|.(*rule)]
+  |=  tub=nail
+  ^-  (like _gar)
+  ((sef) tub)
+::
+++  mask                                                ::  match char in set
+  ~/  %mask
+  |=  bud=(list char)
+  ~/  %fun
+  |=  tub=nail
+  ^-  (like char)
+  ?~  q.tub
+    (fail tub)
+  ?.  (lien bud |=(a=char =(i.q.tub a)))
+    (fail tub)
+  (next tub)
+::
+++  more                                                ::  separated, *
+  |*  [bus=rule fel=rule]
+  ;~(pose (most bus fel) (easy ~))
+::
+++  most                                                ::  separated, +
+  |*  [bus=rule fel=rule]
+  ;~(plug fel (star ;~(pfix bus fel)))
+::
+++  next                                                ::  consume a char
+  |=  tub=nail
+  ^-  (like char)
+  ?~  q.tub
+    (fail tub)
+  =+  zac=(lust i.q.tub p.tub)
+  [zac [~ i.q.tub [zac t.q.tub]]]
+::
+++  perk                                                ::  parse cube fork
+  |*  a=(pole @tas)
+  ?~  a  fail
+  ;~  pose
+    (cold -.a (jest -.a))
+    $(a +.a)
+  ==
+::
+++  pick                                                ::  rule for ++each
+  |*  [a=rule b=rule]
+  ;~  pose
+    (stag %& a)
+    (stag %| b)
+  ==
+++  plus  |*(fel=rule ;~(plug fel (star fel)))          ::
+++  punt  |*([a=rule] ;~(pose (stag ~ a) (easy ~)))     ::
+++  sear                                                ::  conditional cook
+  |*  [pyq=$-(* (unit)) sef=rule]
+  |=  tub=nail
+  =+  vex=(sef tub)
+  ?~  q.vex
+    vex
+  =+  gey=(pyq p.u.q.vex)
+  ?~  gey
+    [p=p.vex q=~]
+  [p=p.vex q=[~ u=[p=u.gey q=q.u.q.vex]]]
+::
+++  shim                                                ::  match char in range
+  ~/  %shim
+  |=  [les=@ mos=@]
+  ~/  %fun
+  |=  tub=nail
+  ^-  (like char)
+  ?~  q.tub
+    (fail tub)
+  ?.  ?&((gte i.q.tub les) (lte i.q.tub mos))
+    (fail tub)
+  (next tub)
+::
+++  stag                                                ::  add a label
+  ~/  %stag
+  |*  [gob=* sef=rule]
+  ~/  %fun
+  |=  tub=nail
+  =+  vex=(sef tub)
+  ?~  q.vex
+    vex
+  [p=p.vex q=[~ u=[p=[gob p.u.q.vex] q=q.u.q.vex]]]
+::
+++  stet                                                ::
+  |*  leh=(list [?(@ [@ @]) rule])
+  |-
+  ?~  leh
+    ~
+  [i=[p=-.i.leh q=+.i.leh] t=$(leh t.leh)]
+::
+++  stew                                                ::  switch by first char
+  ~/  %stew
+  |*  leh=(list [p=?(@ [@ @]) q=rule])                  ::  char+range keys
+  =+  ^=  wor                                           ::  range complete lth
+      |=  [ort=?(@ [@ @]) wan=?(@ [@ @])]
+      ?@  ort
+        ?@(wan (lth ort wan) (lth ort -.wan))
+      ?@(wan (lth +.ort wan) (lth +.ort -.wan))
+  =+  ^=  hel                                           ::  build parser map
+      =+  hel=`(tree _?>(?=(^ leh) i.leh))`~
+      |-  ^+  hel
+      ?~  leh
+        ~
+      =+  yal=$(leh t.leh)
+      |-  ^+  hel
+      ?~  yal
+        [i.leh ~ ~]
+      ?:  (wor p.i.leh p.n.yal)
+        =+  nuc=$(yal l.yal)
+        ?>  ?=(^ nuc)
+        ?:  (mor p.n.yal p.n.nuc)
+          [n.yal nuc r.yal]
+        [n.nuc l.nuc [n.yal r.nuc r.yal]]
+      =+  nuc=$(yal r.yal)
+      ?>  ?=(^ nuc)
+      ?:  (mor p.n.yal p.n.nuc)
+        [n.yal l.yal nuc]
+      [n.nuc [n.yal l.yal l.nuc] r.nuc]
+  ~%  %fun  ..^$  ~
+  |=  tub=nail
+  ?~  q.tub
+    (fail tub)
+  |-
+  ?~  hel
+    (fail tub)
+  ?:  ?@  p.n.hel
+        =(p.n.hel i.q.tub)
+      ?&((gte i.q.tub -.p.n.hel) (lte i.q.tub +.p.n.hel))
+    ::  (q.n.hel [(lust i.q.tub p.tub) t.q.tub])
+    (q.n.hel tub)
+  ?:  (wor i.q.tub p.n.hel)
+    $(hel l.hel)
+  $(hel r.hel)
+::
+++  slug                                                ::
+  |*  raq=_=>(~ |*([a=* b=*] [a b]))
+  |*  [bus=rule fel=rule]
+  ;~((comp raq) fel (stir +<+.raq raq ;~(pfix bus fel)))
+::
+++  star                                                ::  0 or more times
+  |*  fel=rule
+  (stir `(list _(wonk *fel))`~ |*([a=* b=*] [a b]) fel)
+::
+++  stir
+  ~/  %stir
+  |*  [rud=* raq=_=>(~ |*([a=* b=*] [a b])) fel=rule]
+  ~/  %fun
+  |=  tub=nail
+  ^-  (like _rud)
+  ::
+  ::  lef: successful interim parse results (per .fel)
+  ::  wag: initial accumulator (.rud in .tub at farthest success)
+  ::
+  =+  ^=  [lef wag]
+    =|  lef=(list _(fel tub))
+    |-  ^-  [_lef (pair hair [~ u=(pair _rud nail)])]
+    =+  vex=(fel tub)
+    ?~  q.vex
+      :-  lef
+      [p.vex [~ rud tub]]
+    $(lef [vex lef], tub q.u.q.vex)
+  ::
+  ::  fold .lef into .wag, combining results with .raq
+  ::
+  %+  roll  lef
+  |=  _[vex=(fel tub) wag=wag]  :: q.vex is always (some)
+  ^+  wag
+  :-  (last p.vex p.wag)
+  [~ (raq p.u.+.q.vex p.u.q.wag) q.u.q.wag]
+::
+++  stun                                                ::  parse several times
+  ~/  %stun
+  |*  [lig=[@ @] fel=rule]
+  |=  tub=nail
+  ^-  (like (list _(wonk (fel))))
+  ?:  =(0 +.lig)
+    [p.tub [~ ~ tub]]
+  =+  vex=(fel tub)
+  ?~  q.vex
+    ?:  =(0 -.lig)
+      [p.vex [~ ~ tub]]
+    vex
+  =+  ^=  wag  %=  $
+                 -.lig  ?:(=(0 -.lig) 0 (dec -.lig))
+                 +.lig  ?:(=(0 +.lig) 0 (dec +.lig))
+                 tub  q.u.q.vex
+               ==
+  ?~  q.wag
+    wag
+  [p.wag [~ [p.u.q.vex p.u.q.wag] q.u.q.wag]]
+::
+::    4g: parsing (outside caller)
++|  %parsing-outside-caller
+::
+++  rash  |*([naf=@ sab=rule] (scan (trip naf) sab))
+++  rose  |*  [los=tape sab=rule]
+          =+  vex=(sab [[1 1] los])
+          =+  len=(lent los)
+          ?.  =(+(len) q.p.vex)  [%| p=(dec q.p.vex)]
+          ?~  q.vex
+            [%& p=~]
+          [%& p=[~ u=p.u.q.vex]]
+++  rush  |*([naf=@ sab=rule] (rust (trip naf) sab))
+++  rust  |*  [los=tape sab=rule]
+          =+  vex=((full sab) [[1 1] los])
+          ?~(q.vex ~ [~ u=p.u.q.vex])
+++  scan  |*  [los=tape sab=rule]
+          =+  vex=((full sab) [[1 1] los])
+          ?~  q.vex
+            ~_  (show [%m '{%d %d}'] p.p.vex q.p.vex ~)
+            ~_(leaf+"syntax error" !!)
+          p.u.q.vex
+::
+::    4h: parsing (ascii glyphs)
++|  %parsing-ascii-glyphs
+::
+++  ace  (just ' ')                                     ::  spACE
+++  bar  (just '|')                                     ::  vertical BAR
+++  bas  (just '\\')                                    ::  Back Slash (escaped)
+++  buc  (just '$')                                     ::  dollars BUCks
+++  cab  (just '_')                                     ::  CABoose
+++  cen  (just '%')                                     ::  perCENt
+++  col  (just ':')                                     ::  COLon
+++  com  (just ',')                                     ::  COMma
+++  doq  (just '"')                                     ::  Double Quote
+++  dot  (just '.')                                     ::  dot dot dot ...
+++  fas  (just '/')                                     ::  Forward Slash
+++  gal  (just '<')                                     ::  Greater Left
+++  gar  (just '>')                                     ::  Greater Right
+++  hax  (just '#')                                     ::  Hash
+++  hep  (just '-')                                     ::  HyPhen
+++  kel  (just '{')                                     ::  Curly Left
+++  ker  (just '}')                                     ::  Curly Right
+++  ket  (just '^')                                     ::  CareT
+++  lus  (just '+')                                     ::  pLUS
+++  mic  (just ';')                                     ::  seMIColon
+++  pal  (just '(')                                     ::  Paren Left
+++  pam  (just '&')                                     ::  AMPersand pampersand
+++  par  (just ')')                                     ::  Paren Right
+++  pat  (just '@')                                     ::  AT pat
+++  sel  (just '[')                                     ::  Square Left
+++  ser  (just ']')                                     ::  Square Right
+++  sig  (just '~')                                     ::  SIGnature squiggle
+++  soq  (just '\'')                                    ::  Single Quote
+++  tar  (just '*')                                     ::  sTAR
+++  tic  (just '`')                                     ::  backTiCk
+++  tis  (just '=')                                     ::  'tis tis, it is
+++  wut  (just '?')                                     ::  wut, what?
+++  zap  (just '!')                                     ::  zap! bang! crash!!
+::
+::    4i: parsing (useful idioms)
++|  %parsing-useful-idioms
+::
+++  alf  ;~(pose low hig)                               ::  alphabetic
+++  aln  ;~(pose low hig nud)                           ::  alphanumeric
+++  alp  ;~(pose low hig nud hep)                       ::  alphanumeric and -
+++  bet  ;~(pose (cold 2 hep) (cold 3 lus))             ::  axis syntax - +
+++  bin  (bass 2 (most gon but))                        ::  binary to atom
+++  but  (cook |=(a=@ (sub a '0')) (shim '0' '1'))      ::  binary digit
+++  cit  (cook |=(a=@ (sub a '0')) (shim '0' '7'))      ::  octal digit
+++  dem  (bass 10 (most gon dit))                       ::  decimal to atom
+++  dit  (cook |=(a=@ (sub a '0')) (shim '0' '9'))      ::  decimal digit
+++  dog  ;~(plug dot gay)                               ::  .  number separator
+++  dof  ;~(plug hep gay)                               ::  - @q separator
+++  doh  ;~(plug ;~(plug hep hep) gay)                  ::  --  phon separator
+++  dun  (cold ~ ;~(plug hep hep))                      ::  -- (stop) to ~
+++  duz  (cold ~ ;~(plug tis tis))                      ::  == (stet) to ~
+++  gah  (mask [`@`10 ' ' ~])                           ::  newline or ace
+++  gap  (cold ~ ;~(plug gaq (star ;~(pose vul gah))))  ::  plural space
+++  gaq  ;~  pose                                       ::  end of line
+             (just `@`10)
+             ;~(plug gah ;~(pose gah vul))
+             vul
+         ==
+++  gaw  (cold ~ (star ;~(pose vul gah)))               ::  classic white
+++  gay  ;~(pose gap (easy ~))                          ::
+++  gon  ;~(pose ;~(plug bas gay fas) (easy ~))         ::  long numbers \ /
+++  gul  ;~(pose (cold 2 gal) (cold 3 gar))             ::  axis syntax < >
+++  hex  (bass 16 (most gon hit))                       ::  hex to atom
+++  hig  (shim 'A' 'Z')                                 ::  uppercase
+++  hit  ;~  pose                                       ::  hex digits
+           dit
+           (cook |=(a=char (sub a 87)) (shim 'a' 'f'))
+           (cook |=(a=char (sub a 55)) (shim 'A' 'F'))
+         ==
+++  iny                                                 :: indentation block
+  |*  sef=rule
+  |=  nail  ^+  (sef)
+  =+  [har tap]=[p q]:+<
+  =+  lev=(fil 3 (dec q.har) ' ')
+  =+  eol=(just `@t`10)
+  =+  =-  roq=((star ;~(pose prn ;~(sfix eol (jest lev)) -)) har tap)
+      ;~(simu ;~(plug eol eol) eol)
+  ?~  q.roq  roq
+  =+  vex=(sef har(q 1) p.u.q.roq)
+  =+  fur=p.vex(q (add (dec q.har) q.p.vex))
+  ?~  q.vex  vex(p fur)
+  =-  vex(p fur, u.q -)
+  :+  &3.vex
+    &4.vex(q.p (add (dec q.har) q.p.&4.vex))
+  =+  res=|4.vex
+  |-  ?~  res  |4.roq
+  ?.  =(10 -.res)  [-.res $(res +.res)]
+  (welp [`@t`10 (trip lev)] $(res +.res))
+::
+++  low  (shim 'a' 'z')                                 ::  lowercase
+++  mes  %+  cook                                       ::  hexbyte
+           |=([a=@ b=@] (add (mul 16 a) b))
+         ;~(plug hit hit)
+++  nix  (boss 256 (star ;~(pose aln cab)))             ::
+++  nud  (shim '0' '9')                                 ::  numeric
+++  prn  ;~(less (just `@`127) (shim 32 256))           ::  non-control
+++  qat  ;~  pose                                       ::  chars in blockcord
+             prn
+             ;~(less ;~(plug (just `@`10) soz) (just `@`10))
+         ==
+++  qit  ;~  pose                                       ::  chars in a cord
+             ;~(less bas soq prn)
+             ;~(pfix bas ;~(pose bas soq mes))          ::  escape chars
+         ==
+++  qut  ;~  simu  soq                                  ::  cord
+           ;~  pose
+             ;~  less  soz
+               (ifix [soq soq] (boss 256 (more gon qit)))
+             ==
+             =+  hed=;~(pose ;~(plug (plus ace) vul) (just '\0a'))
+             %-  iny  %+  ifix
+               :-  ;~(plug soz hed)
+               ;~(plug (just '\0a') soz)
+             (boss 256 (star qat))
+           ==
+         ==
+++  soz  ;~(plug soq soq soq)                           ::  delimiting '''
+++  sym                                                 ::  symbol
+  %+  cook
+    |=(a=tape (rap 3 ^-((list @) a)))
+  ;~(plug low (star ;~(pose nud low hep)))
+::
+++  mixed-case-symbol
+  %+  cook
+    |=(a=tape (rap 3 ^-((list @) a)))
+  ;~(plug alf (star alp))
+::
+++  ven  ;~  (comp |=([a=@ b=@] (peg a b)))             ::  +>- axis syntax
+           bet
+           =+  hom=`?`|
+           |=  tub=nail
+           ^-  (like @)
+           =+  vex=?:(hom (bet tub) (gul tub))
+           ?~  q.vex
+             [p.tub [~ 1 tub]]
+           =+  wag=$(p.tub p.vex, hom !hom, tub q.u.q.vex)
+           ?>  ?=(^ q.wag)
+           [p.wag [~ (peg p.u.q.vex p.u.q.wag) q.u.q.wag]]
+         ==
+++  vit                                                 ::  base64 digit
+  ;~  pose
+    (cook |=(a=@ (sub a 65)) (shim 'A' 'Z'))
+    (cook |=(a=@ (sub a 71)) (shim 'a' 'z'))
+    (cook |=(a=@ (add a 4)) (shim '0' '9'))
+    (cold 62 (just '-'))
+    (cold 63 (just '+'))
+  ==
+++  vul  %+  cold   ~                                   ::  comments
+         ;~  plug  col  col
+           (star prn)
+           (just `@`10)
+         ==
+::
+::    4j: parsing (bases and base digits)
++|  %parsing-bases-and-base-digits
+::
+++  ab
+  |%
+  ++  bix  (bass 16 (stun [2 2] six))
+  ++  fem  (sear |=(a=@ (cha:fa a)) aln)
+  ++  haf  (bass 256 ;~(plug tep tiq (easy ~)))
+  ++  hef  %+  sear  |=(a=@ ?:(=(a 0) ~ (some a)))
+           %+  bass  256
+           ;~(plug tip tiq (easy ~))
+  ++  hif  (bass 256 ;~(plug tip tiq (easy ~)))
+  ++  hof  (bass 0x1.0000 ;~(plug hef (stun [1 3] ;~(pfix hep hif))))
+  ++  huf  (bass 0x1.0000 ;~(plug hef (stun [0 3] ;~(pfix hep hif))))
+  ++  hyf  (bass 0x1.0000 ;~(plug hif (stun [3 3] ;~(pfix hep hif))))
+  ++  pev  (bass 32 ;~(plug sev (stun [0 4] siv)))
+  ++  pew  (bass 64 ;~(plug sew (stun [0 4] siw)))
+  ++  piv  (bass 32 (stun [5 5] siv))
+  ++  piw  (bass 64 (stun [5 5] siw))
+  ++  qeb  (bass 2 ;~(plug seb (stun [0 3] sib)))
+  ++  qex  (bass 16 ;~(plug sex (stun [0 3] hit)))
+  ++  qib  (bass 2 (stun [4 4] sib))
+  ++  qix  (bass 16 (stun [4 4] six))
+  ++  seb  (cold 1 (just '1'))
+  ++  sed  (cook |=(a=@ (sub a '0')) (shim '1' '9'))
+  ++  sev  ;~(pose sed sov)
+  ++  sew  ;~(pose sed sow)
+  ++  sex  ;~(pose sed sox)
+  ++  sib  (cook |=(a=@ (sub a '0')) (shim '0' '1'))
+  ++  sid  (cook |=(a=@ (sub a '0')) (shim '0' '9'))
+  ++  siv  ;~(pose sid sov)
+  ++  siw  ;~(pose sid sow)
+  ++  six  ;~(pose sid sox)
+  ++  sov  (cook |=(a=@ (sub a 87)) (shim 'a' 'v'))
+  ++  sow  ;~  pose
+             (cook |=(a=@ (sub a 87)) (shim 'a' 'z'))
+             (cook |=(a=@ (sub a 29)) (shim 'A' 'Z'))
+             (cold 62 (just '-'))
+             (cold 63 (just '~'))
+           ==
+  ++  sox  (cook |=(a=@ (sub a 87)) (shim 'a' 'f'))
+  ++  ted  (bass 10 ;~(plug sed (stun [0 2] sid)))
+  ++  tep  (sear |=(a=@ ?:(=(a 'doz') ~ (ins:po a))) til)
+  ++  tip  (sear |=(a=@ (ins:po a)) til)
+  ++  tiq  (sear |=(a=@ (ind:po a)) til)
+  ++  tid  (bass 10 (stun [3 3] sid))
+  ++  til  (boss 256 (stun [3 3] low))
+  ++  urs  %+  cook
+             |=(a=tape (rap 3 ^-((list @) a)))
+           (star ;~(pose nud low hep dot sig cab))
+  ++  urt  %+  cook
+             |=(a=tape (rap 3 ^-((list @) a)))
+           (star ;~(pose nud low hep dot sig))
+  ++  urx  %+  cook
+             |=(a=tape (rap 3 ^-((list @) a)))
+           %-  star
+           ;~  pose
+             nud
+             low
+             hep
+             cab
+             (cold ' ' dot)
+             (cook tuft (ifix [sig dot] hex))
+             ;~(pfix sig ;~(pose sig dot))
+           ==
+  ++  voy  ;~(pfix bas ;~(pose bas soq bix))
+  --
+++  ag
+  |%
+  ++  ape  |*(fel=rule ;~(pose (cold `@`0 (just '0')) fel))
+  ++  bay  (ape (bass 16 ;~(plug qeb:ab (star ;~(pfix dog qib:ab)))))
+  ++  bip  =+  tod=(ape qex:ab)
+           (bass 0x1.0000 ;~(plug tod (stun [7 7] ;~(pfix dog tod))))
+  ++  dem  (ape (bass 1.000 ;~(plug ted:ab (star ;~(pfix dog tid:ab)))))
+  ++  dim  (ape dip)
+  ++  dip  (bass 10 ;~(plug sed:ab (star sid:ab)))
+  ++  dum  (bass 10 (plus sid:ab))
+  ++  fed  %+  cook  fynd:ob
+           ;~  pose
+             %+  bass  0x1.0000.0000.0000.0000          ::  oversized
+               ;~  plug
+                 huf:ab
+                 (plus ;~(pfix doh hyf:ab))
+               ==
+             hof:ab                                     ::  planet or moon
+             haf:ab                                     ::  star
+             tiq:ab                                     ::  galaxy
+           ==
+  ++  feq  %+  cook  |=(a=(list @) (rep 4 (flop a)))
+           ;~  plug
+             ;~(pose hif:ab tiq:ab)
+             (star ;~(pfix dof hif:ab))
+           ==
+  ++  fim  (sear den:fa (bass 58 (plus fem:ab)))
+  ++  hex  (ape (bass 0x1.0000 ;~(plug qex:ab (star ;~(pfix dog qix:ab)))))
+  ++  lip  =+  tod=(ape ted:ab)
+           (bass 256 ;~(plug tod (stun [3 3] ;~(pfix dog tod))))
+  ++  mot  ;~  pose
+             ;~  pfix
+               (just '1')
+               (cook |=(a=@ (add 10 (sub a '0'))) (shim '0' '2'))
+             ==
+             sed:ab
+           ==
+  ++  viz  (ape (bass 0x200.0000 ;~(plug pev:ab (star ;~(pfix dog piv:ab)))))
+  ++  vum  (bass 32 (plus siv:ab))
+  ++  wiz  (ape (bass 0x4000.0000 ;~(plug pew:ab (star ;~(pfix dog piw:ab)))))
+  --
+++  mu
+  |_  [top=@ bot=@]
+  ++  zag  [p=(end 4 (add top bot)) q=bot]
+  ++  zig  [p=(end 4 (add top (sub 0x1.0000 bot))) q=bot]
+  ++  zug  (mix (lsh 4 top) bot)
+  --
+++  ne
+  |_  tig=@
+  ++  c  (cut 3 [tig 1] key:fa)
+  ++  d  (add tig '0')
+  ++  x  ?:((gte tig 10) (add tig 87) d)
+  ++  v  ?:((gte tig 10) (add tig 87) d)
+  ++  w  ?:(=(tig 63) '~' ?:(=(tig 62) '-' ?:((gte tig 36) (add tig 29) x)))
+  --
+::
+::    4k: atom printing
++|  %atom-printing
+::
+++  co
+  !.
+  ~%  %co  ..co  ~
+  =<  |_  lot=coin
+      ++  rear  |=(rom=tape rend(rep rom))
+      ++  rent  ~+  `@ta`(rap 3 rend)
+      ++  rend
+        ^-  tape
+        ~+
+        ?:  ?=(%blob -.lot)
+          ['~' '0' ((v-co 1) (jam p.lot))]
+        ?:  ?=(%many -.lot)
+          :-  '.'
+          |-  ^-  tape
+          ?~   p.lot
+            ['_' '_' rep]
+          ['_' (weld (trip (wack rent(lot i.p.lot))) $(p.lot t.p.lot))]
+        =+  [yed=(end 3 p.p.lot) hay=(cut 3 [1 1] p.p.lot)]
+        |-  ^-  tape
+        ?+    yed  (z-co q.p.lot)
+            %c   ['~' '-' (weld (rip 3 (wood (tuft q.p.lot))) rep)]
+            %d
+          ?+    hay  (z-co q.p.lot)
+              %a
+            =+  yod=(yore q.p.lot)
+            =?  rep  ?=(^ f.t.yod)  ['.' (s-co f.t.yod)]
+            =?  rep  !&(?=(~ f) =(0 h) =(0 m) =(0 s)):t.yod
+              =.  rep  ['.' (y-co s.t.yod)]
+              =.  rep  ['.' (y-co m.t.yod)]
+              ['.' '.' (y-co h.t.yod)]
+            =.  rep  ['.' (a-co d.t.yod)]
+            =.  rep  ['.' (a-co m.yod)]
+            =?  rep  !a.yod  ['-' rep]
+            ['~' (a-co y.yod)]
+          ::
+              %r
+            =+  yug=(yell q.p.lot)
+            =?  rep  ?=(^ f.yug)  ['.' (s-co f.yug)]
+            :-  '~'
+            ?:  &(=(0 d.yug) =(0 m.yug) =(0 h.yug) =(0 s.yug))
+              ['s' '0' rep]
+            =?  rep  !=(0 s.yug)  ['.' 's' (a-co s.yug)]
+            =?  rep  !=(0 m.yug)  ['.' 'm' (a-co m.yug)]
+            =?  rep  !=(0 h.yug)  ['.' 'h' (a-co h.yug)]
+            =?  rep  !=(0 d.yug)  ['.' 'd' (a-co d.yug)]
+            +.rep
+          ==
+        ::
+            %f
+          ?:  =(& q.p.lot)
+            ['.' 'y' rep]
+          ?:(=(| q.p.lot) ['.' 'n' rep] (z-co q.p.lot))
+        ::
+            %n   ['~' rep]
+            %i
+          ?+  hay  (z-co q.p.lot)
+            %f  ((ro-co [3 10 4] |=(a=@ ~(d ne a))) q.p.lot)
+            %s  ((ro-co [4 16 8] |=(a=@ ~(x ne a))) q.p.lot)
+          ==
+        ::
+            %p
+          =+  sxz=(fein:ob q.p.lot)
+          =+  dyx=(met 3 sxz)
+          :-  '~'
+          ?:  (lte dyx 1)
+            (weld (trip (tod:po sxz)) rep)
+          =+  dyy=(met 4 sxz)
+          =|  imp=@ud
+          |-  ^-  tape
+          ?:  =(imp dyy)
+            rep
+          %=  $
+            imp  +(imp)
+            rep  =/  log  (cut 4 [imp 1] sxz)
+                 ;:  weld
+                   (trip (tos:po (rsh 3 log)))
+                   (trip (tod:po (end 3 log)))
+                   ?:(=((mod imp 4) 0) ?:(=(imp 0) "" "--") "-")
+                   rep
+          ==     ==
+        ::
+            %q
+          :+  '.'  '~'
+          =;  res=(pair ? tape)
+            (weld q.res rep)
+          %+  roll
+            =*  val  q.p.lot
+            ?:(=(0 val) ~[0] (rip 3 val))
+          |=  [q=@ s=? r=tape]
+          :-  !s
+          %+  weld
+           (trip (?:(s tod:po tos:po) q))
+          ?.(&(s !=(r "")) r ['-' r])
+        ::
+            %r
+          ?+  hay  (z-co q.p.lot)
+            %d  ['.' '~' (r-co (rlyd q.p.lot))]
+            %h  ['.' '~' '~' (r-co (rlyh q.p.lot))]
+            %q  ['.' '~' '~' '~' (r-co (rlyq q.p.lot))]
+            %s  ['.' (r-co (rlys q.p.lot))]
+          ==
+        ::
+            %u
+          ?:  ?=(%c hay)
+            %+  welp  ['0' 'c' (reap (pad:fa q.p.lot) '1')]
+            (c-co (enc:fa q.p.lot))
+          ::
+          =;  gam=(pair tape tape)
+            (weld p.gam ?:(=(0 q.p.lot) `tape`['0' ~] q.gam))
+          ?+  hay  [~ ((ox-co [10 3] |=(a=@ ~(d ne a))) q.p.lot)]
+            %b  [['0' 'b' ~] ((ox-co [2 4] |=(a=@ ~(d ne a))) q.p.lot)]
+            %i  [['0' 'i' ~] ((d-co 1) q.p.lot)]
+            %x  [['0' 'x' ~] ((ox-co [16 4] |=(a=@ ~(x ne a))) q.p.lot)]
+            %v  [['0' 'v' ~] ((ox-co [32 5] |=(a=@ ~(x ne a))) q.p.lot)]
+            %w  [['0' 'w' ~] ((ox-co [64 5] |=(a=@ ~(w ne a))) q.p.lot)]
+          ==
+        ::
+            %s
+          %+  weld
+            ?:((syn:si q.p.lot) "--" "-")
+          $(yed 'u', q.p.lot (abs:si q.p.lot))
+        ::
+            %t
+          ?:  =('a' hay)
+            ?:  =('s' (cut 3 [2 1] p.p.lot))
+              (weld (rip 3 q.p.lot) rep)
+            ['~' '.' (weld (rip 3 q.p.lot) rep)]
+          ['~' '~' (weld (rip 3 (wood q.p.lot)) rep)]
+        ==
+      --
+  =|  rep=tape
+  =<  |%
+      ::  rendering idioms, output zero-padded to minimum lengths
+      ::
+      ::  +a-co: decimal
+      ::  +c-co: base58check
+      ::  +d-co: decimal, takes minimum output digits
+      ::  +r-co: floating point
+      ::  +s-co: list of '.'-prefixed base16, 4 digit minimum
+      ::  +v-co: base32, takes minimum output digits
+      ::  +w-co: base64, takes minimum output digits
+      ::  +x-co: base16, takes minimum output digits
+      ::  +y-co: decimal, 2 digit minimum
+      ::  +z-co: '0x'-prefixed base16
+      ::
+      ++  a-co  |=(dat=@ ((d-co 1) dat))
+      ++  c-co  (em-co [58 1] |=([? b=@ c=tape] [~(c ne b) c]))
+      ++  d-co  |=(min=@ (em-co [10 min] |=([? b=@ c=tape] [~(d ne b) c])))
+      ::
+      ++  r-co
+        |=  a=dn
+        ?:  ?=([%i *] a)  (weld ?:(s.a "inf" "-inf") rep)
+        ?:  ?=([%n *] a)  (weld "nan" rep)
+        =;  rep  ?:(s.a rep ['-' rep])
+        =/  f  ((d-co 1) a.a)
+        =^  e  e.a
+          =/  e=@s  (sun:si (lent f))
+          =/  sci  :(sum:si e.a e -1)
+          ?:  (syn:si (dif:si e.a --3))  [--1 sci]  :: 12000 -> 12e3 e>+2
+          ?:  !(syn:si (dif:si sci -2))  [--1 sci]  :: 0.001 -> 1e-3 e<-2
+          [(sum:si sci --1) --0] :: 1.234e2 -> '.'@3 -> 123 .4
+        =?  rep  !=(--0 e.a)
+          :(weld ?:((syn:si e.a) "e" "e-") ((d-co 1) (abs:si e.a)))
+        (weld (ed-co e f) rep)
+      ::
+      ++  s-co
+        |=  esc=(list @)  ^-  tape
+        ?~  esc  rep
+        ['.' =>(.(rep $(esc t.esc)) ((x-co 4) i.esc))]
+      ::
+      ++  v-co  |=(min=@ (em-co [32 min] |=([? b=@ c=tape] [~(v ne b) c])))
+      ++  w-co  |=(min=@ (em-co [64 min] |=([? b=@ c=tape] [~(w ne b) c])))
+      ++  x-co  |=(min=@ (em-co [16 min] |=([? b=@ c=tape] [~(x ne b) c])))
+      ++  y-co  |=(dat=@ ((d-co 2) dat))
+      ++  z-co  |=(dat=@ `tape`['0' 'x' ((x-co 1) dat)])
+      --
+  |%
+  ::  +em-co: format in numeric base
+  ::
+  ::    in .bas, format .min digits of .hol with .par
+  ::
+  ::    - .hol is processed least-significant digit first
+  ::    - all available digits in .hol will be processed, but
+  ::      .min digits can exceed the number available in .hol
+  ::    - .par handles all accumulated output on each call,
+  ::      and can edit it, prepend or append digits, &c
+  ::    - until .hol is exhausted, .par's sample is [| digit output],
+  ::      subsequently, it's [& 0 output]
+  ::
+  ++  em-co
+    |=  [[bas=@ min=@] par=$-([? @ tape] tape)]
+    |=  hol=@
+    ^-  tape
+    ?:  &(=(0 hol) =(0 min))
+      rep
+    =/  [dar=@ rad=@]  (dvr hol bas)
+    %=  $
+      min  ?:(=(0 min) 0 (dec min))
+      hol  dar
+      rep  (par =(0 dar) rad rep)
+    ==
+  ::
+  ::  +ed-co: format in numeric base, with output length
+  ::
+  ::    - like +em-co, but .par's sample will be [| digit output]
+  ::      on the first call, regardless of the available digits in .hol
+  ::    - used only for @r* floats
+  ::
+  ++  ed-co
+    |=  [exp=@s int=tape]  ^-  tape
+    =/  [pos=? dig=@u]  [=(--1 (cmp:si exp --0)) (abs:si exp)]
+    ?.  pos
+      (into (weld (reap +(dig) '0') int) 1 '.')
+    =/  len  (lent int)
+    ?:  (lth dig len)  (into int dig '.')
+    (weld int (reap (sub dig len) '0'))
+  ::
+  ::  +ox-co: format '.'-separated digit sequences in numeric base
+  ::
+  ::    in .bas, format each digit of .hol with .dug,
+  ::    with '.' separators every .gop digits.
+  ::
+  ::    - .hol is processed least-significant digit first
+  ::    - .dug handles individual digits, output is prepended
+  ::    - every segment but the last is zero-padded to .gop
+  ::
+  ++  ox-co
+    |=  [[bas=@ gop=@] dug=$-(@ @)]
+    %+  em-co
+      [(pow bas gop) 0]
+    |=  [top=? seg=@ res=tape]
+    %+  weld
+      ?:(top ~ `tape`['.' ~])
+    %.  seg
+    %+  em-co(rep res)
+      [bas ?:(top 0 gop)]
+    |=([? b=@ c=tape] [(dug b) c])
+  ::
+  ::  +ro-co: format '.'-prefixed bloqs in numeric base
+  ::
+  ::    in .bas, for .buz bloqs 0 to .dop, format at least one
+  ::    digit of .hol, prefixed with '.'
+  ::
+  ::    - used only for @i* addresses
+  ::
+  ++  ro-co
+    |=  [[buz=@ bas=@ dop=@] dug=$-(@ @)]
+    |=  hol=@
+    ^-  tape
+    ?:  =(0 dop)
+      rep
+    :-  '.'
+    =/  pod  (dec dop)
+    %.  (cut buz [pod 1] hol)
+    %+  em-co(rep $(dop pod))
+      [bas 1]
+    |=([? b=@ c=tape] [(dug b) c])
+  --
+::
+::    4l: atom parsing
++|  %atom-parsing
+::
+++  so
+  ~%  %so  +  ~
+  |%
+  ++  bisk
+    ~+
+    ;~  pose
+      ;~  pfix  (just '0')
+        ;~  pose
+          (stag %ub ;~(pfix (just 'b') bay:ag))
+          (stag %uc ;~(pfix (just 'c') fim:ag))
+          (stag %ui ;~(pfix (just 'i') dim:ag))
+          (stag %ux ;~(pfix (just 'x') hex:ag))
+          (stag %uv ;~(pfix (just 'v') viz:ag))
+          (stag %uw ;~(pfix (just 'w') wiz:ag))
+        ==
+      ==
+      (stag %ud dem:ag)
+    ==
+  ++  crub
+    ~+
+    ;~  pose
+      (cook |=(det=date `dime`[%da (year det)]) when)
+    ::
+      %+  cook
+        |=  [a=(list [p=?(%d %h %m %s) q=@]) b=(list @)]
+        =+  rop=`tarp`[0 0 0 0 b]
+        |-  ^-  dime
+        ?~  a
+          [%dr (yule rop)]
+        ?-  p.i.a
+          %d  $(a t.a, d.rop (add q.i.a d.rop))
+          %h  $(a t.a, h.rop (add q.i.a h.rop))
+          %m  $(a t.a, m.rop (add q.i.a m.rop))
+          %s  $(a t.a, s.rop (add q.i.a s.rop))
+        ==
+      ;~  plug
+        %+  most
+          dot
+        ;~  pose
+          ;~(pfix (just 'd') (stag %d dim:ag))
+          ;~(pfix (just 'h') (stag %h dim:ag))
+          ;~(pfix (just 'm') (stag %m dim:ag))
+          ;~(pfix (just 's') (stag %s dim:ag))
+        ==
+        ;~(pose ;~(pfix ;~(plug dot dot) (most dot qix:ab)) (easy ~))
+      ==
+    ::
+      (stag %p fed:ag)
+      ;~(pfix dot (stag %ta urs:ab))
+      ;~(pfix sig (stag %t urx:ab))
+      ;~(pfix hep (stag %c (cook taft urx:ab)))
+    ==
+  ++  nuck
+    ~/  %nuck  |=  a=nail  %.  a
+    %+  knee  *coin  |.  ~+
+    %-  stew
+    ^.  stet  ^.  limo
+    :~  :-  ['a' 'z']  (cook |=(a=@ta [%$ %tas a]) sym)
+        :-  ['0' '9']  (stag %$ bisk)
+        :-  '-'        (stag %$ tash)
+        :-  '.'        ;~(pfix dot perd)
+        :-  '~'        ;~(pfix sig ;~(pose twid (easy [%$ %n 0])))
+    ==
+  ++  nusk
+    ~+
+    :(sear |=(a=@ta (rush a nuck)) wick urt:ab)
+  ++  perd
+    ~+
+    ;~  pose
+      (stag %$ zust)
+      (stag %many (ifix [cab ;~(plug cab cab)] (more cab nusk)))
+    ==
+  ++  royl
+    ~+
+    ;~  pose
+      (stag %rh royl-rh)
+      (stag %rq royl-rq)
+      (stag %rd royl-rd)
+      (stag %rs royl-rs)
+    ==
+  ::
+  ++  royl-rh  (cook rylh ;~(pfix ;~(plug sig sig) (cook royl-cell royl-rn)))
+  ++  royl-rq  (cook rylq ;~(pfix ;~(plug sig sig sig) (cook royl-cell royl-rn)))
+  ++  royl-rd  (cook ryld ;~(pfix sig (cook royl-cell royl-rn)))
+  ++  royl-rs  (cook ryls (cook royl-cell royl-rn))
+  ::
+  ++  royl-rn
+    =/  moo
+      |=  a=tape
+      :-  (lent a)
+      (scan a (bass 10 (plus sid:ab)))
+    ;~  pose
+      ;~  plug
+        (easy %d)
+        ;~(pose (cold | hep) (easy &))
+        ;~  plug  dim:ag
+          ;~  pose
+            ;~(pfix dot (cook moo (plus (shim '0' '9'))))
+            (easy [0 0])
+          ==
+          ;~  pose
+            ;~  pfix
+              (just 'e')
+              ;~(plug ;~(pose (cold | hep) (easy &)) dim:ag)
+            ==
+            (easy [& 0])
+          ==
+        ==
+      ==
+      ::
+      ;~  plug
+        (easy %i)
+        ;~  sfix
+          ;~(pose (cold | hep) (easy &))
+          (jest 'inf')
+        ==
+      ==
+      ::
+      ;~  plug
+        (easy %n)
+        (cold ~ (jest 'nan'))
+      ==
+    ==
+  ::
+  ++  royl-cell
+    |=  rn
+    ^-  dn
+    ?.  ?=([%d *] +<)  +<
+    =+  ^=  h
+      (dif:si (new:si f.b i.b) (sun:si d.b))
+    [%d a h (add (mul c.b (pow 10 d.b)) e.b)]
+  ::
+  ++  tash
+    ~+
+    =+  ^=  neg
+        |=  [syn=? mol=dime]  ^-  dime
+        ?>  =('u' (end 3 p.mol))
+        [(cat 3 's' (rsh 3 p.mol)) (new:si syn q.mol)]
+    ;~  pfix  hep
+      ;~  pose
+        (cook |=(a=dime (neg | a)) bisk)
+        ;~(pfix hep (cook |=(a=dime (neg & a)) bisk))
+      ==
+    ==
+  ::
+  ++  twid
+    ~+
+    ;~  pose
+      %+  stag  %blob
+      %+  sear  |=(a=@ (mole |.((cue a))))
+      ;~(pfix (just '0') vum:ag)
+    ::
+      (stag %$ crub)
+    ==
+  ::
+  ++  when
+    ~+
+    ;~  plug
+      %+  cook
+        |=([a=@ b=?] [b a])
+      ;~(plug dim:ag ;~(pose (cold | hep) (easy &)))
+      ;~(pfix dot mot:ag)   ::  month
+      ;~(pfix dot dip:ag)   ::  day
+      ;~  pose
+        ;~  pfix
+          ;~(plug dot dot)
+          ;~  plug
+            dum:ag
+            ;~(pfix dot dum:ag)
+            ;~(pfix dot dum:ag)
+            ;~(pose ;~(pfix ;~(plug dot dot) (most dot qix:ab)) (easy ~))
+          ==
+        ==
+        (easy [0 0 0 ~])
+      ==
+    ==
+  ::
+  ++  zust
+    ~+
+    ;~  pose
+      (stag %is bip:ag)
+      (stag %if lip:ag)
+      royl
+      (stag %f ;~(pose (cold & (just 'y')) (cold | (just 'n'))))
+      (stag %q ;~(pfix sig feq:ag))
+    ==
+  --
+::
+::    4m: formatting functions
++|  %formatting-functions
+++  scot
+  ~/  %scot
+  |=(mol=dime ~(rent co %$ mol))
+++  scow
+  ~/  %scow
+  |=(mol=dime ~(rend co %$ mol))
+++  slat  |=(mod=@tas |=(txt=@ta (slaw mod txt)))
+++  slav  |=([mod=@tas txt=@ta] (need (slaw mod txt)))
+++  slaw
+  ~/  %slaw
+  |=  [mod=@tas txt=@ta]
+  ^-  (unit @)
+  ?+    mod
+      ::  slow fallback case to the full slay
+      ::
+      =+  con=(slay txt)
+      ?.(&(?=([~ %$ @ @] con) =(p.p.u.con mod)) ~ [~ q.p.u.con])
+  ::
+      %da
+    (rush txt ;~(pfix sig (cook year when:so)))
+  ::
+      %p
+    (rush txt ;~(pfix sig fed:ag))
+  ::
+      %ud
+    (rush txt dem:ag)
+  ::
+      %ux
+    (rush txt ;~(pfix (jest '0x') hex:ag))
+  ::
+      %uv
+    (rush txt ;~(pfix (jest '0v') viz:ag))
+  ::
+      %ta
+    (rush txt ;~(pfix ;~(plug sig dot) urs:ab))
+  ::
+      %tas
+    (rush txt sym)
+  ==
+::
+++  slay
+  |=  txt=@ta  ^-  (unit coin)
+  =+  ^=  vex
+      ?:  (gth 0x7fff.ffff txt)                         ::  XX  petty cache
+        ~+  ((full nuck:so) [[1 1] (trip txt)])
+      ((full nuck:so) [[1 1] (trip txt)])
+  ?~  q.vex
+    ~
+  [~ p.u.q.vex]
+::
+++  smyt                                                ::  pretty print path
+  |=  bon=path  ^-  tank
+  :+  %rose  [['/' ~] ['/' ~] ~]
+  (turn bon |=(a=@ [%leaf (trip a)]))
+::
+++  spat  |=(pax=path (crip (spud pax)))                ::  render path to cord
+++  spud  |=(pax=path ~(ram re (smyt pax)))             ::  render path to tape
+++  stab  |=(zep=@t `path`(rash zep stap))              ::  parse cord to path
+++  stap                                                ::  path parser
+  %+  sear
+    |=  p=path
+    ^-  (unit path)
+    ?:  ?=([~ ~] p)  `~
+    ?.  =(~ (rear p))  `p
+    ~
+  ;~(pfix fas (most fas urs:ab))
+::
+++  stip                                                ::  typed path parser
+  =<  swot
+  |%
+  ++  swot  |=(n=nail (;~(pfix fas (more fas spot)) n))
+  ::
+  ++  spot
+    %+  sear  (soft iota)
+    %-  stew
+    ^.  stet  ^.  limo
+    :~  :-  'a'^'z'  (stag %tas sym)
+        :-  '$'      (cold [%tas %$] buc)
+        :-  '0'^'9'  bisk:so
+        :-  '-'      tash:so
+        :-  '.'      zust:so
+        :-  '~'      ;~(pfix sig ;~(pose crub:so (easy [%n ~])))
+        :-  '\''     (stag %t qut)
+    ==
+  --
+::
+++  pout
+  |=  =pith
+  ^-  path
+  %+  turn  pith
+  |=  i=iota
+  ?@(i i (scot i))
+::
+++  pave
+  |=  =path
+  ^-  pith
+  %+  turn  path
+  |=  i=@ta
+  (fall (rush i spot:stip) [%ta i])
+::
+::    4n: virtualization
++|  %virtualization
+::
+::  +mack: untyped, scry-less, unitary virtualization
+::
+++  mack
+  |=  [sub=* fol=*]
+  ^-  (unit)
+  =/  ton  (mink [sub fol] |~(^ ~))
+  ?.(?=(%0 -.ton) ~ `product.ton)
+::  +mink: raw virtual nock
+::
+++  mink  !.
+  ~/  %mink
+  |=  $:  [subject=* formula=*]
+          scry=$-(^ (unit (unit)))
+      ==
+  =|  trace=(list [@ta *])
+  |^  ^-  tone
+      ?+  formula  [%2 trace]
+          [^ *]
+        =/  head  $(formula -.formula)
+        ?.  ?=(%0 -.head)  head
+        =/  tail  $(formula +.formula)
+        ?.  ?=(%0 -.tail)  tail
+        [%0 product.head product.tail]
+      ::
+          [%0 axis=@]
+        =/  part  (frag axis.formula subject)
+        ?~  part  [%2 trace]
+        [%0 u.part]
+      ::
+          [%1 constant=*]
+        [%0 constant.formula]
+      ::
+          [%2 subject=* formula=*]
+        =/  subject  $(formula subject.formula)
+        ?.  ?=(%0 -.subject)  subject
+        =/  formula  $(formula formula.formula)
+        ?.  ?=(%0 -.formula)  formula
+        %=  $
+          subject  product.subject
+          formula  product.formula
+        ==
+      ::
+          [%3 argument=*]
+        =/  argument  $(formula argument.formula)
+        ?.  ?=(%0 -.argument)  argument
+        [%0 .?(product.argument)]
+      ::
+          [%4 argument=*]
+        =/  argument  $(formula argument.formula)
+        ?.  ?=(%0 -.argument)  argument
+        ?^  product.argument  [%2 trace]
+        [%0 .+(product.argument)]
+      ::
+          [%5 a=* b=*]
+        =/  a  $(formula a.formula)
+        ?.  ?=(%0 -.a)  a
+        =/  b  $(formula b.formula)
+        ?.  ?=(%0 -.b)  b
+        [%0 =(product.a product.b)]
+      ::
+          [%6 test=* yes=* no=*]
+        =/  result  $(formula test.formula)
+        ?.  ?=(%0 -.result)  result
+        ?+  product.result
+              [%2 trace]
+          %&  $(formula yes.formula)
+          %|  $(formula no.formula)
+        ==
+      ::
+          [%7 subject=* next=*]
+        =/  subject  $(formula subject.formula)
+        ?.  ?=(%0 -.subject)  subject
+        %=  $
+          subject  product.subject
+          formula  next.formula
+        ==
+      ::
+          [%8 head=* next=*]
+        =/  head  $(formula head.formula)
+        ?.  ?=(%0 -.head)  head
+        %=  $
+          subject  [product.head subject]
+          formula  next.formula
+        ==
+      ::
+          [%9 axis=@ core=*]
+        =/  core  $(formula core.formula)
+        ?.  ?=(%0 -.core)  core
+        =/  arm  (frag axis.formula product.core)
+        ?~  arm  [%2 trace]
+        %=  $
+          subject  product.core
+          formula  u.arm
+        ==
+      ::
+          [%10 [axis=@ value=*] target=*]
+        ?:  =(0 axis.formula)  [%2 trace]
+        =/  target  $(formula target.formula)
+        ?.  ?=(%0 -.target)  target
+        =/  value  $(formula value.formula)
+        ?.  ?=(%0 -.value)  value
+        =/  mutant=(unit *)
+          (edit axis.formula product.target product.value)
+        ?~  mutant  [%2 trace]
+        [%0 u.mutant]
+      ::
+          [%11 tag=@ next=*]
+        =/  next  $(formula next.formula)
+        ?.  ?=(%0 -.next)  next
+        :-  %0
+        .*  subject
+        [11 tag.formula 1 product.next]
+      ::
+          [%11 [tag=@ clue=*] next=*]
+        =/  clue  $(formula clue.formula)
+        ?.  ?=(%0 -.clue)  clue
+        =/  next
+          =?    trace
+              ?=(?(%hunk %hand %lose %mean %spot) tag.formula)
+            [[tag.formula product.clue] trace]
+          $(formula next.formula)
+        ?.  ?=(%0 -.next)  next
+        :-  %0
+        .*  subject
+        [11 [tag.formula 1 product.clue] 1 product.next]
+      ::
+          [%12 ref=* path=*]
+        =/  ref  $(formula ref.formula)
+        ?.  ?=(%0 -.ref)  ref
+        =/  path  $(formula path.formula)
+        ?.  ?=(%0 -.path)  path
+        =/  result  (scry product.ref product.path)
+        ?~  result
+          [%1 product.path]
+        ?~  u.result
+          [%2 [%hunk product.ref product.path] trace]
+        [%0 u.u.result]
+      ==
+  ::
+  ++  frag
+    |=  [axis=@ noun=*]
+    ^-  (unit)
+    ?:  =(0 axis)  ~
+    |-  ^-  (unit)
+    ?:  =(1 axis)  `noun
+    ?@  noun  ~
+    =/  pick  (cap axis)
+    %=  $
+      axis  (mas axis)
+      noun  ?-(pick %2 -.noun, %3 +.noun)
+    ==
+  ::
+  ++  edit
+    |=  [axis=@ target=* value=*]
+    ^-  (unit)
+    ?:  =(1 axis)  `value
+    ?@  target  ~
+    =/  pick  (cap axis)
+    =/  mutant
+      %=  $
+        axis    (mas axis)
+        target  ?-(pick %2 -.target, %3 +.target)
+      ==
+    ?~  mutant  ~
+    ?-  pick
+      %2  `[u.mutant +.target]
+      %3  `[-.target u.mutant]
+    ==
+  --
+::  +mock: virtual nock
+::
+++  mock
+  |=  [[sub=* fol=*] gul=$-(^ (unit (unit)))]
+  (mook (mink [sub fol] gul))
+::  +mook: convert %tone to %toon, rendering stack frames
+::
+++  mook
+  |=  ton=tone
+  ^-  toon
+  ?.  ?=([%2 *] ton)
+    ton
+  |^  [%2 (turn skip rend)]
+  ::
+  ++  skip
+    ^+  trace.ton
+    =/  yel  (lent trace.ton)
+    ?.  (gth yel 1.024)  trace.ton
+    %+  weld
+      (scag 512 trace.ton)
+    ^+  trace.ton
+    :_  (slag (sub yel 512) trace.ton)
+    :-  %lose
+    (crip "[skipped {(scow %ud (sub yel 1.024))} frames]")
+  ::
+  ::  +rend: raw stack frame to tank
+  ::
+  ::    $%  [%hunk ref=* path]            ::  failed scry ([~ ~])
+  ::        [%lose cord]                  ::  skipped frames
+  ::        [%hand *]                     ::  mug any
+  ::        [%mean $@(cord (trap tank))]  ::  ~_ et al
+  ::        [%spot spot]                  ::  source location
+  ::    ==
+  ::
+  ++  rend
+    |=  [tag=@ta dat=*]
+    ^-  tank
+    ?+    tag
+    ::
+      leaf+"mook.{(rip 3 tag)}"
+    ::
+        %hunk
+      ?@  dat  leaf+"mook.hunk"
+      =/  sof=(unit path)  ((soft path) +.dat)
+      ?~  sof  leaf+"mook.hunk"
+      (smyt u.sof)
+    ::
+        %lose
+      ?^  dat  leaf+"mook.lose"
+      leaf+(rip 3 dat)
+    ::
+        %hand
+      leaf+(scow %p (mug dat))
+    ::
+        %mean
+      ?@  dat  leaf+(rip 3 dat)
+      =/  mac  (mack dat -.dat)
+      ?~  mac  leaf+"####"
+      =/  sof  ((soft tank) u.mac)
+      ?~  sof  leaf+"mook.mean"
+      u.sof
+    ::
+        %spot
+      =/  sof=(unit spot)  ((soft spot) dat)
+      ?~  sof  leaf+"mook.spot"
+      :+  %rose  [":" ~ ~]
+      :~  (smyt p.u.sof)
+          =*  l   p.q.u.sof
+          =*  r   q.q.u.sof
+          =/  ud  |=(a=@u (scow %ud a))
+          leaf+"<[{(ud p.l)} {(ud q.l)}].[{(ud p.r)} {(ud q.r)}]>"
+      ==
+    ==
+  --
+::  +mole: typed unitary virtual
+::
+++  mole
+  ~/  %mole
+  |*  tap=(trap)
+  ^-  (unit _$:tap)
+  =/  mur  (mure tap)
+  ?~(mur ~ `$:tap)
+::  +mong: virtual slam
+::
+++  mong
+  |=  [[gat=* sam=*] gul=$-(^ (unit (unit)))]
+  ^-  toon
+  ?.  ?=([* ^] gat)  [%2 ~]
+  (mock [gat(+< sam) %9 2 %0 1] gul)
+::  +mule: typed virtual
+::
+++  mule
+  ~/  %mule
+  |*  tap=(trap)
+  =/  mud  (mute tap)
+  ?-  -.mud
+    %&  [%& p=$:tap]
+    %|  [%| p=p.mud]
+  ==
+::  +mure: untyped unitary virtual
+::
+++  mure
+  |=  tap=(trap)
+  ^-  (unit)
+  =/  ton  (mink [tap %9 2 %0 1] |=(a=^ ``.*(a [%12 [%0 2] %0 3])))
+  ?.(?=(%0 -.ton) ~ `product.ton)
+::  +mute: untyped virtual
+::
+++  mute
+  |=  tap=(trap)
+  ^-  (each * (list tank))
+  =/  ton  (mock [tap %9 2 %0 1] |=(a=^ ``.*(a [%12 [%0 2] %0 3])))
+  ?-  -.ton
+    %0  [%& p.ton]
+  ::
+    %1  =/  sof=(unit path)  ((soft path) p.ton)
+        [%| ?~(sof leaf+"mute.hunk" (smyt u.sof)) ~]
+  ::
+    %2  [%| p.ton]
+  ==
+::  +slum: slam a gate on a sample using raw nock, untyped
+::
+++  slum
+  ~/  %slum
+  |=  sub=[gat=* sam=*]
+  .*(sub [%9 2 %10 [6 %0 3] %0 2])
+::  +soft: virtual clam
+::
+++  soft
+  |*  han=$-(* *)
+  |=(fud=* (mole |.((han fud))))
+::
+::    4o: molds and mold builders
++|  %molds-and-mold-builders
+::
++$  abel  typo                                          ::  original sin: type
++$  alas  (list (pair term hoon))                       ::  alias list
++$  atom  @                                             ::  just an atom
++$  aura  @ta                                           ::  atom format
++$  base                                                ::  base mold
+  $@  $?  %noun                                         ::  any noun
+          %cell                                         ::  any cell
+          %flag                                         ::  loobean
+          %null                                         ::  ~ == 0
+          %void                                         ::  empty set
+      ==                                                ::
+  [%atom p=aura]                                        ::  atom
+::
++$  woof  $@(@ [~ p=hoon])                              ::  simple embed
++$  chum  $?  lef=term                                  ::  jet name
+              [std=term kel=@]                          ::  kelvin version
+              [ven=term pro=term kel=@]                 ::  vendor and product
+              [ven=term pro=term ver=@ kel=@]           ::  all of the above
+          ==                                            ::
++$  coil  $:  p=garb                                    ::  name, wet=dry, vary
+              q=type                                    ::  context
+              r=(pair seminoun (map term tome))         ::  chapters
+          ==                                            ::
++$  garb  (trel (unit term) poly vair)                  ::  core
++$  poly  ?(%wet %dry)                                  ::  polarity
++$  foot  $%  [%dry p=hoon]                             ::  dry arm, geometric
+              [%wet p=hoon]                             ::  wet arm, generic
+          ==                                            ::
++$  link                                                ::  lexical segment
+          $%  [%chat p=term]                            ::  |chapter
+              [%cone p=aura q=atom]                     ::  %constant
+              [%frag p=term]                            ::  .face
+              [%funk p=term]                            ::  +arm
+              [%plan p=term]                            ::  $spec
+          ==                                            ::
++$  cuff  (list link)                                   ::  parsed lex segments
++$  crib  [summary=cord details=(list sect)]            ::
++$  help  [=cuff =crib]                                 ::  documentation
++$  limb  $@  term                                      ::  wing element
+          $%  [%& p=axis]                               ::  by geometry
+              [%| p=@ud q=(unit term)]                  ::  by name
+          ==                                            ::
+            ::  XX more and better sanity
+            ::
++$  null  ~                                             ::  null, nil, etc
++$  onyx  (list (pair type foot))                       ::  arm activation
++$  opal                                                ::  limb match
+          $%  [%& p=type]                               ::  leg
+              [%| p=axis q=(set [p=type q=foot])]       ::  arm
+          ==                                            ::
++$  pica  (pair ? cord)                                 ::  & prose, | code
++$  palo  (pair vein opal)                              ::  wing trace, match
++$  pock  (pair axis nock)                              ::  changes
++$  port  (each palo (pair type nock))                  ::  successful match
++$  spec                                                ::  structure definition
+          $~  [%base %null]                             ::
+          $%  [%base p=base]                            ::  base type
+              [%dbug p=spot q=spec]                     ::  set debug
+              [%gist p=[%help p=help] q=spec]           ::  formal comment
+              [%leaf p=term q=@]                        ::  constant atom
+              [%like p=wing q=(list wing)]              ::  reference
+              [%loop p=term]                            ::  hygienic reference
+              [%made p=(pair term (list term)) q=spec]  ::  annotate synthetic
+              [%make p=hoon q=(list spec)]              ::  composed spec
+              [%name p=term q=spec]                     ::  annotate simple
+              [%over p=wing q=spec]                     ::  relative to subject
+          ::                                            ::
+              [%bcgr p=spec q=spec]                     ::  $>, filter: require
+              [%bcbc p=spec q=(map term spec)]          ::  $$, recursion
+              [%bcbr p=spec q=hoon]                     ::  $|, verify
+              [%bccb p=hoon]                            ::  $_, example
+              [%bccl p=[i=spec t=(list spec)]]          ::  $:, tuple
+              [%bccn p=[i=spec t=(list spec)]]          ::  $%, head pick
+              [%bcdt p=spec q=(map term spec)]          ::  $., read-write core
+              [%bcgl p=spec q=spec]                     ::  $<, filter: exclude
+              [%bchp p=spec q=spec]                     ::  $-, function core
+              [%bckt p=spec q=spec]                     ::  $^, cons pick
+              [%bcls p=stud q=spec]                     ::  $+, standard
+              [%bcfs p=spec q=(map term spec)]          ::  $/, write-only core
+              [%bcmc p=hoon]                            ::  $;, manual
+              [%bcpm p=spec q=hoon]                     ::  $&, repair
+              [%bcsg p=hoon q=spec]                     ::  $~, default
+              [%bctc p=spec q=(map term spec)]          ::  $`, read-only core
+              [%bcts p=skin q=spec]                     ::  $=, name
+              [%bcpt p=spec q=spec]                     ::  $@, atom pick
+              [%bcwt p=[i=spec t=(list spec)]]          ::  $?, full pick
+              [%bczp p=spec q=(map term spec)]          ::  $!, opaque core
+          ==                                            ::
++$  tent                                                ::  model builder
+          $%  [%| p=wing q=tent r=(list spec)]          ::  ~(p q r...)
+              [%& p=(list wing)]                        ::  a.b:c.d
+          ==                                            ::
++$  tiki                                                ::  test case
+          $%  [%& p=(unit term) q=wing]                 ::  simple wing
+              [%| p=(unit term) q=hoon]                 ::  named wing
+          ==                                            ::
++$  skin                                                ::  texture
+          $@  =term                                     ::  name/~[term %none]
+          $%  [%base =base]                             ::  base match
+              [%cell =skin =skin]                       ::  pair
+              [%dbug =spot =skin]                       ::  trace
+              [%leaf =aura =atom]                       ::  atomic constant
+              [%help =help =skin]                       ::  describe
+              [%name =term =skin]                       ::  apply label
+              [%over =wing =skin]                       ::  relative to
+              [%spec =spec =skin]                       ::  cast to
+              [%wash depth=@ud]                         ::  strip faces
+          ==                                            ::
++$  tome  (pair what (map term hoon))                   ::  core chapter
++$  tope                                                ::  topographic type
+  $@  $?  %&                                            ::  cell or atom
+          %|                                            ::  atom
+      ==                                                ::
+  (pair tope tope)                                      ::  cell
+++  hoot                                                ::  hoon tools
+  |%
+  +$  beer  $@(char [~ p=hoon])                         ::  simple embed
+  +$  mane  $@(@tas [@tas @tas])                        ::  XML name+space
+  +$  manx  $~([[%$ ~] ~] [g=marx c=marl])              ::  dynamic XML node
+  +$  marl  (list tuna)                                 ::  dynamic XML nodes
+  +$  mart  (list [n=mane v=(list beer)])               ::  dynamic XML attrs
+  +$  marx  $~([%$ ~] [n=mane a=mart])                  ::  dynamic XML tag
+  +$  mare  (each manx marl)                            ::  node or nodes
+  +$  maru  (each tuna marl)                            ::  interp or nodes
+  +$  tuna                                              ::  maybe interpolation
+      $~  [[%$ ~] ~]
+      $^  manx
+      $:  ?(%tape %manx %marl %call)
+          p=hoon
+      ==
+  --                                                    ::
++$  hoon                                                ::  hoon AST
+  $~  [%zpzp ~]                                         ::
+  $^  [p=hoon q=hoon]                                   ::
+  $%                                                    ::
+    [%$ p=axis]                                         ::  simple leg
+  ::                                                    ::
+    [%base p=base]                                      ::  base spec
+    [%bust p=base]                                      ::  bunt base
+    [%dbug p=spot q=hoon]                               ::  debug info in trace
+    [%eror p=tape]                                      ::  assembly error
+    [%hand p=type q=nock]                               ::  premade result
+    [%note p=note q=hoon]                               ::  annotate
+    [%fits p=hoon q=wing]                               ::  underlying ?=
+    [%knit p=(list woof)]                               ::  assemble string
+    [%leaf p=(pair term @)]                             ::  symbol spec
+    [%limb p=term]                                      ::  take limb
+    [%lost p=hoon]                                      ::  not to be taken
+    [%rock p=term q=*]                                  ::  fixed constant
+    [%sand p=term q=*]                                  ::  unfixed constant
+    [%tell p=(list hoon)]                               ::  render as tape
+    [%tune p=$@(term tune)]                             ::  minimal face
+    [%wing p=wing]                                      ::  take wing
+    [%yell p=(list hoon)]                               ::  render as tank
+    [%xray p=manx:hoot]                                 ::  ;foo; templating
+  ::                                            ::::::  cores
+    [%brbc sample=(lest term) body=spec]                ::  |$
+    [%brcb p=spec q=alas r=(map term tome)]             ::  |_
+    [%brcl p=hoon q=hoon]                               ::  |:
+    [%brcn p=(unit term) q=(map term tome)]             ::  |%
+    [%brdt p=hoon]                                      ::  |.
+    [%brkt p=hoon q=(map term tome)]                    ::  |^
+    [%brhp p=hoon]                                      ::  |-
+    [%brsg p=spec q=hoon]                               ::  |~
+    [%brtr p=spec q=hoon]                               ::  |*
+    [%brts p=spec q=hoon]                               ::  |=
+    [%brpt p=(unit term) q=(map term tome)]             ::  |@
+    [%brwt p=hoon]                                      ::  |?
+  ::                                            ::::::  tuples
+    [%clcb p=hoon q=hoon]                               ::  :_ [q p]
+    [%clkt p=hoon q=hoon r=hoon s=hoon]                 ::  :^ [p q r s]
+    [%clhp p=hoon q=hoon]                               ::  :- [p q]
+    [%clls p=hoon q=hoon r=hoon]                        ::  :+ [p q r]
+    [%clsg p=(list hoon)]                               ::  :~ [p ~]
+    [%cltr p=(list hoon)]                               ::  :* p as a tuple
+  ::                                            ::::::  invocations
+    [%cncb p=wing q=(list (pair wing hoon))]            ::  %_
+    [%cndt p=hoon q=hoon]                               ::  %.
+    [%cnhp p=hoon q=hoon]                               ::  %-
+    [%cncl p=hoon q=(list hoon)]                        ::  %:
+    [%cntr p=wing q=hoon r=(list (pair wing hoon))]     ::  %*
+    [%cnkt p=hoon q=hoon r=hoon s=hoon]                 ::  %^
+    [%cnls p=hoon q=hoon r=hoon]                        ::  %+
+    [%cnsg p=wing q=hoon r=(list hoon)]                 ::  %~
+    [%cnts p=wing q=(list (pair wing hoon))]            ::  %=
+  ::                                            ::::::  nock
+    [%dtkt p=spec q=hoon]                               ::  .^  nock 11
+    [%dtls p=hoon]                                      ::  .+  nock 4
+    [%dttr p=hoon q=hoon]                               ::  .*  nock 2
+    [%dtts p=hoon q=hoon]                               ::  .=  nock 5
+    [%dtwt p=hoon]                                      ::  .?  nock 3
+  ::                                            ::::::  type conversion
+    [%ktbr p=hoon]                                      ::  ^|  contravariant
+    [%ktdt p=hoon q=hoon]                               ::  ^.  self-cast
+    [%ktls p=hoon q=hoon]                               ::  ^+  expression cast
+    [%kthp p=spec q=hoon]                               ::  ^-  structure cast
+    [%ktpm p=hoon]                                      ::  ^&  covariant
+    [%ktsg p=hoon]                                      ::  ^~  constant
+    [%ktts p=skin q=hoon]                               ::  ^=  label
+    [%ktwt p=hoon]                                      ::  ^?  bivariant
+    [%kttr p=spec]                                      ::  ^*  example
+    [%ktcl p=spec]                                      ::  ^:  filter
+  ::                                            ::::::  hints
+    [%sgbr p=hoon q=hoon]                               ::  ~|  sell on trace
+    [%sgcb p=hoon q=hoon]                               ::  ~_  tank on trace
+    [%sgcn p=chum q=hoon r=tyre s=hoon]                 ::  ~%  general jet hint
+    [%sgfs p=chum q=hoon]                               ::  ~/  function j-hint
+    [%sggl p=$@(term [p=term q=hoon]) q=hoon]           ::  ~<  backward hint
+    [%sggr p=$@(term [p=term q=hoon]) q=hoon]           ::  ~>  forward hint
+    [%sgbc p=term q=hoon]                               ::  ~$  profiler hit
+    [%sgls p=@ q=hoon]                                  ::  ~+  cache=memoize
+    [%sgpm p=@ud q=hoon r=hoon]                         ::  ~&  printf=priority
+    [%sgts p=hoon q=hoon]                               ::  ~=  don't duplicate
+    [%sgwt p=@ud q=hoon r=hoon s=hoon]                  ::  ~?  tested printf
+    [%sgzp p=hoon q=hoon]                               ::  ~!  type on trace
+  ::                                            ::::::  miscellaneous
+    [%mcts p=marl:hoot]                                 ::  ;=  list templating
+    [%mccl p=hoon q=(list hoon)]                        ::  ;:  binary to nary
+    [%mcfs p=hoon]                                      ::  ;/  [%$ [%$ p ~] ~]
+    [%mcgl p=spec q=hoon r=hoon s=hoon]                 ::  ;<  bind
+    [%mcsg p=hoon q=(list hoon)]                        ::  ;~  kleisli arrow
+    [%mcmc p=spec q=hoon]                               ::  ;;  normalize
+  ::                                            ::::::  compositions
+    [%tsbr p=spec q=hoon]                               ::  =|  push bunt
+    [%tscl p=(list (pair wing hoon)) q=hoon]            ::  =:  q w= p changes
+    [%tsfs p=skin q=hoon r=hoon]                        ::  =/  typed variable
+    [%tsmc p=skin q=hoon r=hoon]                        ::  =;  =/(q p r)
+    [%tsdt p=wing q=hoon r=hoon]                        ::  =.  r with p as q
+    [%tswt p=wing q=hoon r=hoon s=hoon]                 ::  =?  conditional =.
+    [%tsgl p=hoon q=hoon]                               ::  =<  =>(q p)
+    [%tshp p=hoon q=hoon]                               ::  =-  =+(q p)
+    [%tsgr p=hoon q=hoon]                               ::  =>  q w=subject p
+    [%tskt p=skin q=wing r=hoon s=hoon]                 ::  =^  state machine
+    [%tsls p=hoon q=hoon]                               ::  =+  q w=[p subject]
+    [%tssg p=(list hoon)]                               ::  =~  hoon stack
+    [%tstr p=(pair term (unit spec)) q=hoon r=hoon]     ::  =*  new style
+    [%tscm p=hoon q=hoon]                               ::  =,  overload p in q
+  ::                                            ::::::  conditionals
+    [%wtbr p=(list hoon)]                               ::  ?|  loobean or
+    [%wthp p=wing q=(list (pair spec hoon))]            ::  ?-  pick case in q
+    [%wtcl p=hoon q=hoon r=hoon]                        ::  ?:  if=then=else
+    [%wtdt p=hoon q=hoon r=hoon]                        ::  ?.  ?:(p r q)
+    [%wtkt p=wing q=hoon r=hoon]                        ::  ?^  if p is a cell
+    [%wtgl p=hoon q=hoon]                               ::  ?<  ?:(p !! q)
+    [%wtgr p=hoon q=hoon]                               ::  ?>  ?:(p q !!)
+    [%wtls p=wing q=hoon r=(list (pair spec hoon))]     ::  ?+  ?-  w=default
+    [%wtpm p=(list hoon)]                               ::  ?&  loobean and
+    [%wtpt p=wing q=hoon r=hoon]                        ::  ?@  if p is atom
+    [%wtsg p=wing q=hoon r=hoon]                        ::  ?~  if p is null
+    [%wthx p=skin q=wing]                               ::  ?#  if q matches p
+    [%wtts p=spec q=wing]                               ::  ?=  if q matches p
+    [%wtzp p=hoon]                                      ::  ?!  loobean not
+  ::                                            ::::::  special
+    [%zpcm p=hoon q=hoon]                               ::  !,
+    [%zpgr p=hoon]                                      ::  !>
+    [%zpgl p=spec q=hoon]                               ::  !<
+    [%zpmc p=hoon q=hoon]                               ::  !;
+    [%zpts p=hoon]                                      ::  !=
+    [%zppt p=(list wing) q=hoon r=hoon]                 ::  !@
+    [%zpwt p=$@(p=@ [p=@ q=@]) q=hoon]                  ::  !?
+    [%zpzp ~]                                           ::  !!
+  ==                                                    ::
++$  tyre  (list [p=term q=hoon])                        ::
++$  tyke  (list (unit hoon))                            ::
+::                                                      ::::::  virtual nock
++$  nock  $^  [p=nock q=nock]                           ::  autocons
+          $%  [%1 p=*]                                  ::  constant
+              [%2 p=nock q=nock]                        ::  compose
+              [%3 p=nock]                               ::  cell test
+              [%4 p=nock]                               ::  increment
+              [%5 p=nock q=nock]                        ::  equality test
+              [%6 p=nock q=nock r=nock]                 ::  if, then, else
+              [%7 p=nock q=nock]                        ::  serial compose
+              [%8 p=nock q=nock]                        ::  push onto subject
+              [%9 p=@ q=nock]                           ::  select arm and fire
+              [%10 p=[p=@ q=nock] q=nock]               ::  edit
+              [%11 p=$@(@ [p=@ q=nock]) q=nock]         ::  hint
+              [%12 p=nock q=nock]                       ::  grab data from sky
+              [%0 p=@]                                  ::  axis select
+          ==                                            ::
++$  note                                                ::  type annotation
+          $%  [%help p=help]                            ::  documentation
+              [%know p=stud]                            ::  global standard
+              [%made p=term q=(unit (list wing))]       ::  structure
+          ==                                            ::
++$  type  $~  %noun                                     ::
+          $@  $?  %noun                                 ::  any nouns
+                  %void                                 ::  no noun
+              ==                                        ::
+          $%  [%atom p=term q=(unit @)]                 ::  atom / constant
+              [%cell p=type q=type]                     ::  ordered pair
+              [%core p=type q=coil]                     ::  object
+              [%face p=$@(term tune) q=type]            ::  namespace
+              [%fork p=(set type)]                      ::  union
+              [%hint p=(pair type note) q=type]         ::  annotation
+              [%hold p=type q=hoon]                     ::  lazy evaluation
+          ==                                            ::
++$  tony                                                ::  ++tone done right
+          $%  [%0 p=tine q=*]                           ::  success
+              [%1 p=(set)]                              ::  blocks
+              [%2 p=(list [@ta *])]                     ::  error ~_s
+          ==                                            ::
++$  tine                                                ::  partial noun
+          $@  ~                                         ::  open
+          $%  [%& p=tine q=tine]                        ::  half-blocked
+              [%| p=(set)]                              ::  fully blocked
+          ==                                            ::
++$  tool  $@(term tune)                                 ::  type decoration
++$  tune                                                ::  complex
+          $~  [~ ~]                                     ::
+          $:  p=(map term (unit hoon))                  ::  aliases
+              q=(list hoon)                             ::  bridges
+          ==                                            ::
++$  typo  type                                          ::  old type
++$  vase  [p=type q=*]                                  ::  type-value pair
++$  vise  [p=typo q=*]                                  ::  old vase
++$  vial  ?(%read %rite %both %free)                    ::  co/contra/in/bi
++$  vair  ?(%gold %iron %lead %zinc)                    ::  in/contra/bi/co
++$  vein  (list (unit axis))                            ::  search trace
++$  sect  (list pica)                                   ::  paragraph
++$  whit                                                ::  prefix docs parse
+  $:  bat=(map cuff (pair cord (list sect)))            ::  batch comment
+  ==                                                    ::
++$  whiz  cord                                          ::  postfix doc parse
++$  what  (unit (pair cord (list sect)))                ::  help slogan/section
++$  wing  (list limb)                                   ::  search path
+::
+::  +block: abstract identity of resource awaited
+::
++$  block
+  path
+::
+::  +result: internal interpreter result
+::
++$  result
+  $@(~ seminoun)
+::
+::  +thunk: fragment constructor
+::
++$  thunk
+  $-(@ud (unit noun))
+::
+::  +seminoun:
+::
++$  seminoun
+  ::  partial noun; blocked subtrees are ~
+  ::
+  $~  [[%full / ~ ~] ~]
+  [mask=stencil data=noun]
+::
+::  +stencil: noun knowledge map
+::
++$  stencil
+  $%  ::
+      ::  %half: noun has partial block substructure
+      ::
+      [%half left=stencil rite=stencil]
+      ::
+      ::  %full: noun is either fully complete, or fully blocked
+      ::
+      [%full blocks=(set block)]
+      ::
+      ::  %lazy: noun can be generated from virtual subtree
+      ::
+      [%lazy fragment=axis resolve=thunk]
+  ==
+::
++$  output
+  ::  ~: interpreter stopped
+  ::
+  %-  unit
+  $%  ::
+      ::  %done: output is complete
+      ::
+      [%done p=noun]
+      ::
+      ::  %wait: output is waiting for resources
+      ::
+      [%wait p=(list block)]
+  ==
+:: profiling
++$  doss
+  $:  mon=moan                                          ::  sample count
+      hit=(map term @ud)                                ::  hit points
+      cut=(map path hump)                               ::  cut points
+  ==
++$  moan                                                ::  sample metric
+  $:  fun=@ud                                           ::  samples in C
+      noc=@ud                                           ::  samples in nock
+      glu=@ud                                           ::  samples in glue
+      mal=@ud                                           ::  samples in alloc
+      far=@ud                                           ::  samples in frag
+      coy=@ud                                           ::  samples in copy
+      euq=@ud                                           ::  samples in equal
+  ==                                                    ::
+::
++$  hump
+  $:  mon=moan                                          ::  sample count
+      out=(map path @ud)                                ::  calls out of
+      inn=(map path @ud)                                ::  calls into
+  ==
+--
+::
+~%    %pen
+    +
+  ==
+    %ap    ap
+    %ut    ut
+  ==
+::    layer-5
+::
+|%
+::
+::    5aa: new partial nock interpreter
++|  %new-partial-nock-interpreter
+::
+++  musk  !.                                            ::  nock with block set
+  |%
+  ++  abet
+    ::    simplify raw result
+    ::
+    |=  $:  ::  noy: raw result
+            ::
+            noy=result
+        ==
+    ^-  output
+    ::  propagate stop
+    ::
+    ?~  noy  ~
+    :-  ~
+    ::  merge all blocking sets
+    ::
+    =/  blocks  (squash mask.noy)
+    ?:  =(~ blocks)
+      ::  no blocks, data is complete
+      ::
+      done/data.noy
+    ::  reduce block set to block list
+    ::
+    wait/~(tap in blocks)
+  ::
+  ++  araw
+    ::    execute nock on partial subject
+    ::
+    |=  $:  ::  bus: subject, a partial noun
+            ::  fol: formula, a complete noun
+            ::
+            bus=seminoun
+            fol=noun
+        ==
+    ::  interpreter loop
+    ::
+    |-  ^-  result
+    ?@  fol
+      ::  bad formula, stop
+      ::
+      ~
+    ?:  ?=(^ -.fol)
+      ::  hed: interpret head
+      ::
+      =+  hed=$(fol -.fol)
+      ::  propagate stop
+      ::
+      ?~  hed  ~
+      ::  tal: interpret tail
+      ::
+      =+  tal=$(fol +.fol)
+      ::  propagate stop
+      ::
+      ?~  tal  ~
+      ::  combine
+      ::
+      (combine hed tal)
+    ?+    fol
+    ::  bad formula; stop
+    ::
+        ~
+    ::  0; fragment
+    ::
+        [%0 b=@]
+      ::  if bad axis, stop
+      ::
+      ?:  =(0 b.fol)  ~
+      ::  reduce to fragment
+      ::
+      (fragment b.fol bus)
+    ::
+    ::  1; constant
+    ::
+        [%1 b=*]
+      ::  constant is complete
+      ::
+      [full/~ b.fol]
+    ::
+    ::  2; recursion
+    ::
+        [%2 b=* c=*]
+      ::  require complete formula
+      ::
+      %+  require
+        ::  compute formula with current subject
+        ::
+        $(fol c.fol)
+      |=  ::  ryf: next formula
+          ::
+          ryf=noun
+      ::  lub: next subject
+      ::
+      =+  lub=^$(fol b.fol)
+      ::  propagate stop
+      ::
+      ?~  lub  ~
+      ::  recurse
+      ::
+      ^$(fol ryf, bus lub)
+    ::
+    ::  3; probe
+    ::
+        [%3 b=*]
+      %+  require
+        $(fol b.fol)
+      |=  ::  fig: probe input
+          ::
+          fig=noun
+      ::  yes if cell, no if atom
+      ::
+      [full/~ .?(fig)]
+    ::
+    ::  4; increment
+    ::
+        [%4 b=*]
+      %+  require
+        $(fol b.fol)
+      |=  ::  fig: increment input
+          ::
+          fig=noun
+      ::  stop for cells, increment for atoms
+      ::
+      ?^(fig ~ [full/~ +(fig)])
+    ::
+    ::  5; compare
+    ::
+        [%5 b=* c=*]
+      %+  require
+        $(fol b.fol)
+      |=  ::  hed: left input
+          ::
+          hed=noun
+      %+  require
+        ^$(fol c.fol)
+      |=  ::  tal: right input
+          ::
+          tal=noun
+      [full/~ =(hed tal)]
+    ::
+    ::  6; if-then-else
+    ::
+        [%6 b=* c=* d=*]
+      ::  semantic expansion
+      ::
+      %+  require
+        $(fol b.fol)
+      |=  ::  fig: boolean
+          ::
+          fig=noun
+      ::  apply proper booleans
+      ::
+      ?:  =(& fig)  ^$(fol c.fol)
+      ?:  =(| fig)  ^$(fol d.fol)
+      ::  stop on bad test
+      ::
+      ~
+    ::
+    ::  7; composition
+    ::
+        [%7 b=* c=*]
+      ::  one: input
+      ::
+      =+  one=$(fol b.fol)
+      ::  propagate stop
+      ::
+      ?~  one  ~
+      ::  complete composition
+      ::
+      $(fol c.fol, bus one)
+    ::
+    ::  8; introduction
+    ::
+        [%8 b=* c=*]
+      ::  one: input
+      ::
+      =+  one=$(fol b.fol)
+      ::  propagate stop
+      ::
+      ?~  one  ~
+      ::  complete introduction
+      ::
+      $(fol c.fol, bus (combine one bus))
+    ::
+    ::  9; invocation
+    ::
+        [%9 b=* c=*]
+      ::  semantic expansion
+      ::
+      ?^  b.fol  ~
+      ::  one: core
+      ::
+      =+  one=$(fol c.fol)
+      ::  propagate stop
+      ::
+      ?~  one  ~
+      ::  if core is constant
+      ::
+      ?:  ?=([[%full ~] *] one)
+        ::  then call virtual nock directly
+        ::
+        =+  (mack data.one [%9 b.fol %0 1])
+        ::  propagate stop
+        ::
+        ?~  -  ~
+        ::  produce result
+        ::
+        [[%full ~] u.-]
+      ::  else complete call
+      ::
+      %+  require
+        ::  retrieve formula
+        ::
+        (fragment b.fol one)
+      ::  continue
+      ::
+      |=(noun ^$(bus one, fol +<))
+    ::
+    ::  10; edit
+    ::
+        [%10 [b=@ c=*] d=*]
+      ::  tar:  target of edit
+      ::
+      =+  tar=$(fol d.fol)
+      ::  propagate stop
+      ::
+      ?~  tar  ~
+      ::  inn:  inner value
+      ::
+      =+  inn=$(fol c.fol)
+      ::  propagate stop
+      ::
+      ?~  inn  ~
+      (mutate b.fol inn tar)
+    ::
+    ::  11; static hint
+    ::
+        [%11 @ c=*]
+      ::  ignore hint
+      ::
+      $(fol c.fol)
+    ::
+    ::  11; dynamic hint
+    ::
+        [%11 [b=* c=*] d=*]
+      ::  noy: dynamic hint
+      ::
+      =+  noy=$(fol c.fol)
+      ::  propagate stop
+      ::
+      ?~  noy  ~
+      ::  if hint is a fully computed trace
+      ::
+      ?:  &(?=(%spot b.fol) ?=([[%full ~] *] noy))
+        ::  compute within trace
+        ::
+        ~_((show %o +.noy) $(fol d.fol))
+      ::  else ignore hint
+      ::
+      $(fol d.fol)
+    ==
+  ::
+  ++  apex
+    ::    execute nock on partial subject
+    ::
+    |=  $:  ::  bus: subject, a partial noun
+            ::  fol: formula, a complete noun
+            ::
+            bus=seminoun
+            fol=noun
+        ==
+    ~+
+    ^-  output
+    ::  simplify result
+    ::
+    (abet (araw bus fol))
+  ::
+  ++  combine
+    ::    combine a pair of seminouns
+    ::
+    |=  $:  ::  hed: head of pair
+            ::  tal: tail of pair
+            ::
+            hed=seminoun
+            tal=seminoun
+        ==
+    ^-  seminoun
+    ?.  ?&  &(?=(%full -.mask.hed) ?=(%full -.mask.tal))
+            =(=(~ blocks.mask.hed) =(~ blocks.mask.tal))
+        ==
+      ::  default merge
+      ::
+      [half/[mask.hed mask.tal] [data.hed data.tal]]
+    ::  both sides total
+    ::
+    ?:  =(~ blocks.mask.hed)
+      ::  both sides are complete
+      ::
+      [full/~ data.hed data.tal]
+    ::  both sides are blocked
+    ::
+    [full/(~(uni in blocks.mask.hed) blocks.mask.tal) ~]
+  ::
+  ++  complete
+    ::    complete any laziness
+    ::
+    |=  bus=seminoun
+    ^-  seminoun
+    ?-  -.mask.bus
+      %full  bus
+      %lazy  ::  fragment 1 is the whole thing
+             ::
+             ?:  =(1 fragment.mask.bus)
+               ::  blocked; we can't get fragment 1 while compiling it
+               ::
+               [[%full [~ ~ ~]] ~]
+             ::  execute thunk
+             ::
+             =+  (resolve.mask.bus fragment.mask.bus)
+             ::  if product is nil
+             ::
+             ?~  -
+               ::  then blocked
+               ::
+               [[%full [~ ~ ~]] ~]
+             ::  else use value
+             ::
+             [[%full ~] u.-]
+      %half  ::  recursive descent
+             ::
+             %+  combine
+               $(bus [left.mask.bus -.data.bus])
+             $(bus [rite.mask.bus +.data.bus])
+    ==
+  ::
+  ++  fragment
+    ::    seek to an axis in a seminoun
+    ::
+    |=  $:  ::  axe: tree address of subtree
+            ::  bus: partial noun
+            ::
+            axe=axis
+            bus=seminoun
+        ==
+    ^-  result
+    ::  1 is the root
+    ::
+    ?:  =(1 axe)  bus
+    ::  now: top of axis (2 or 3)
+    ::  lat: rest of axis
+    ::
+    =+  [now=(cap axe) lat=(mas axe)]
+    ?-  -.mask.bus
+      %lazy  ::  propagate laziness
+             ::
+             bus(fragment.mask (peg fragment.mask.bus axe))
+    ::
+      %full  ::  if fully blocked, produce self
+             ::
+             ?^  blocks.mask.bus  bus
+             ::  descending into atom, stop
+             ::
+             ?@  data.bus  ~
+             ::  descend into complete cell
+             ::
+             $(axe lat, bus [full/~ ?:(=(2 now) -.data.bus +.data.bus)])
+    ::
+      %half  ::  descend into partial cell
+             ::
+             %=  $
+               axe  lat
+               bus  ?:  =(2 now)
+                      [left.mask.bus -.data.bus]
+                    [rite.mask.bus +.data.bus]
+    ==       ==
+  ::
+  ++  mutate
+    ::    change a single axis in a seminoun
+    ::
+    |=  $:  ::  axe: axis within big to change
+            ::  lit: (little) seminoun to insert within big at axe
+            ::  big: seminoun to mutate
+            ::
+            axe=@
+            lit=seminoun
+            big=seminoun
+        ==
+    ^-  result
+    ::  stop on zero axis
+    ::
+    ?~  axe  ~
+    ::  edit root of big means discard it
+    ::
+    ?:  =(1 axe)  lit
+    ::  decompose axis into path of head-tail
+    ::
+    |-  ^-  result
+    ?:  =(2 axe)
+      ::  mutate head of cell
+      ::
+      =+  tal=(fragment 3 big)
+      ::  propagate stop
+      ::
+      ?~  tal  ~
+      (combine lit tal)
+    ?:  =(3 axe)
+      ::  mutate tail of cell
+      ::
+      =+  hed=(fragment 2 big)
+      ::  propagate stop
+      ::
+      ?~  hed  ~
+      (combine hed lit)
+    ::  deeper axis: keep one side of big and
+    ::  recurse into the other with smaller axe
+    ::
+    =+  mor=(mas axe)
+    =+  hed=(fragment 2 big)
+    ::  propagate stop
+    ::
+    ?~  hed  ~
+    =+  tal=(fragment 3 big)
+    ::  propagate stop
+    ::
+    ?~  tal  ~
+    ?:  =(2 (cap axe))
+      ::  recurse into the head
+      ::
+      =+  mut=$(big hed, axe mor)
+      ::  propagate stop
+      ::
+      ?~  mut  ~
+      (combine mut tal)
+    ::  recurse into the tail
+    ::
+    =+  mut=$(big tal, axe mor)
+    ::  propagate stop
+    ::
+    ?~  mut  ~
+    (combine hed mut)
+  ::
+  ++  require
+    ::    require complete intermediate step
+    ::
+    |=  $:  noy=result
+            yen=$-(* result)
+        ==
+    ^-  result
+    ::  propagate stop
+    ::
+    ?~  noy  ~
+    ::  suppress laziness
+    ::
+    =/  bus=seminoun  (complete noy)
+    ?<  ?=(%lazy -.mask.bus)
+    ::  if partial block, squash blocks and stop
+    ::
+    ?:  ?=(%half -.mask.bus)  [full/(squash mask.bus) ~]
+    ::  if full block, propagate block
+    ::
+    ?:  ?=(^ blocks.mask.bus)  [mask.bus ~]
+    ::  otherwise use complete noun
+    ::
+    (yen data.bus)
+  ::
+  ++  squash
+    ::    convert stencil to block set
+    ::
+    |=  tyn=stencil
+    ^-  (set block)
+    ?-  -.tyn
+      %lazy  $(tyn -:(complete tyn ~))
+      %full  blocks.tyn
+      %half  (~(uni in $(tyn left.tyn)) $(tyn rite.tyn))
+    ==
+  --
+::
+::    5a: compiler utilities
++|  %compiler-utilities
+::
+++  bool  `type`(fork [%atom %f `0] [%atom %f `1] ~)    ::  make loobean
+++  cell                                                ::  make %cell type
+  ~/  %cell
+  |=  [hed=type tal=type]
+  ^-  type
+  ?:(=(%void hed) %void ?:(=(%void tal) %void [%cell hed tal]))
+::
+++  core                                                ::  make %core type
+  ~/  %core
+  |=  [pac=type con=coil]
+  ^-  type
+  ?:(=(%void pac) %void [%core pac con])
+::
+++  hint
+  |=  [p=(pair type note) q=type]
+  ^-  type
+  ?:  =(%void q)  %void
+  ?:  =(%noun q)  %noun
+  [%hint p q]
+::
+++  face                                                ::  make %face type
+  ~/  %face
+  |=  [giz=$@(term tune) der=type]
+  ^-  type
+  ?:  =(%void der)
+    %void
+  [%face giz der]
+::
+++  fork                                                ::  make %fork type
+  ~/  %fork
+  |=  yed=(list type)
+  =|  lez=(set type)
+  |-  ^-  type
+  ?~  yed
+    ?~  lez  %void
+    ?:  ?=([* ~ ~] lez)  n.lez
+    [%fork lez]
+  %=    $
+      yed  t.yed
+      lez
+    ?:  =(%void i.yed)  lez
+    ?:  ?=([%fork *] i.yed)  (~(uni in lez) p.i.yed)
+    (~(put in lez) i.yed)
+  ==
+::
+++  cove                                                ::  extract [0 *] axis
+  |=  nug=nock
+  ?-    nug
+      [%0 *]   p.nug
+      [%11 *]  $(nug q.nug)
+      *        ~_(leaf+"cove" !!)
+  ==
+++  comb                                                ::  combine two formulas
+  ~/  %comb
+  |=  [mal=nock buz=nock]
+  ^-  nock
+  ?:  ?&(?=([%0 *] mal) !=(0 p.mal))
+    ?:  ?&(?=([%0 *] buz) !=(0 p.buz))
+      [%0 (peg p.mal p.buz)]
+    ?:  ?=([%2 [%0 *] [%0 *]] buz)
+      [%2 [%0 (peg p.mal p.p.buz)] [%0 (peg p.mal p.q.buz)]]
+    [%7 mal buz]
+  ?:  ?=([^ [%0 %1]] mal)
+    [%8 p.mal buz]
+  ?:  =([%0 %1] buz)
+    mal
+  [%7 mal buz]
+::
+++  cond                                                ::  ?:  compile
+  ~/  %cond
+  |=  [pex=nock yom=nock woq=nock]
+  ^-  nock
+  ?-  pex
+    [%1 %0]  yom
+    [%1 %1]  woq
+    *        [%6 pex yom woq]
+  ==
+::
+++  cons                                                ::  make formula cell
+  ~/  %cons
+  |=  [vur=nock sed=nock]
+  ^-  nock
+  ::  this optimization can remove crashes which are essential
+  ::
+  ::  ?:  ?=([[%0 *] [%0 *]] +<)
+  ::  ?:  ?&(=(+(p.vur) p.sed) =((div p.vur 2) (div p.sed 2)))
+  ::    [%0 (div p.vur 2)]
+  ::  [vur sed]
+  ?:  ?=([[%1 *] [%1 *]] +<)
+    [%1 p.vur p.sed]
+  [vur sed]
+::
+++  fitz                                                ::  odor compatibility
+  ~/  %fitz
+  |=  [yaz=term wix=term]
+  =+  ^=  fiz
+      |=  mot=@ta  ^-  [p=@ q=@ta]
+      =+  len=(met 3 mot)
+      ?:  =(0 len)
+        [0 %$]
+      =+  tyl=(rsh [3 (dec len)] mot)
+      ?:  &((gte tyl 'A') (lte tyl 'Z'))
+        [(sub tyl 64) (end [3 (dec len)] mot)]
+      [0 mot]
+  =+  [yoz=(fiz yaz) wux=(fiz wix)]
+  ?&  ?|  =(0 p.yoz)
+          =(0 p.wux)
+          &(!=(0 p.wux) (lte p.wux p.yoz))
+      ==
+      |-  ?|  =(%$ p.yoz)
+              =(%$ p.wux)
+              ?&  =((end 3 p.yoz) (end 3 p.wux))
+                  $(p.yoz (rsh 3 p.yoz), p.wux (rsh 3 p.wux))
+              ==
+          ==
+  ==
+::
+++  flan                                                ::  loobean  &
+  ~/  %flan
+  |=  [bos=nock nif=nock]
+  ^-  nock
+  ?:  =(bos nif)  bos
+  ?:  =([%0 0] bos)  nif
+  ?:  =([%0 0] nif)  bos
+  ?-    bos
+      [%1 %1]   bos
+      [%1 %0]   nif
+      *
+    ?-    nif
+        [%1 %1]   nif
+        [%1 %0]   bos
+        *       [%6 bos nif [%1 1]]
+    ==
+  ==
+::
+++  flip                                                ::  loobean negation
+  ~/  %flip
+  |=  dyr=nock
+  ?:  =([%0 0] dyr)  dyr
+  [%6 dyr [%1 1] [%1 0]]
+::
+++  flor                                                ::  loobean  |
+  ~/  %flor
+  |=  [bos=nock nif=nock]
+  ^-  nock
+  ?:  =(bos nif)  bos
+  ?:  =([%0 0] bos)  nif
+  ?:  =([%0 0] nif)  bos
+  ?-  bos
+      [%1 %1]   nif
+      [%1 %0]   bos
+      *
+    ?-  nif
+        [%1 %1]   bos
+        [%1 %0]   nif
+        *         [%6 bos [%1 0] nif]
+    ==
+  ==
+::
+++  hike
+  ~/  %hike
+  |=  [a=axis pac=(list (pair axis nock))]
+  |^  =/  rel=(map axis nock)  (roll pac insert)
+      =/  ord=(list axis)      (sort ~(tap in ~(key by rel)) gth)
+      |-  ^-  nock
+      ?~  ord
+        [%0 a]
+      =/  b=axis  i.ord
+      =/  c=nock  (~(got by rel) b)
+      =/  d=nock  $(ord t.ord)
+      [%10 [b c] d]
+  ::
+  ++  contains
+    |=  [container=axis contained=axis]
+    ^-  ?
+    =/  big=@    (met 0 container)
+    =/  small=@  (met 0 contained)
+    ?:  (lte small big)  |
+    =/  dif=@  (sub small big)
+    =(container (rsh [0 dif] contained))
+  ::
+  ++  parent
+    |=  a=axis
+    `axis`(rsh 0 a)
+  ::
+  ++  sibling
+    |=  a=axis
+    ^-  axis
+    ?~  (mod a 2)
+      +(a)
+    (dec a)
+  ::
+  ++  insert
+    |=  [e=[axe=axis fol=nock] n=(map axis nock)]
+    ^-  (map axis nock)
+    ?:  =/  a=axis  axe.e
+        |-  ^-  ?
+        ?:  =(1 a)  |
+        ?:  (~(has by n) a)
+          &
+        $(a (parent a))
+      ::  parent already in
+      n
+    =.  n
+      ::  remove children
+      %+  roll  ~(tap by n)
+      |=  [[axe=axis fol=nock] m=_n]
+      ?.  (contains axe.e axe)  m
+      (~(del by m) axe)
+    =/  sib  (sibling axe.e)
+    =/  un   (~(get by n) sib)
+    ?~  un   (~(put by n) axe.e fol.e)
+    ::  replace sibling with parent
+    %=  $
+      n  (~(del by n) sib)
+      e  :-  (parent sib)
+         ?:  (gth sib axe.e)
+           (cons fol.e u.un)
+         (cons u.un fol.e)
+    ==
+  --
+::
+++  jock
+  |=  rad=?
+  |=  lot=coin  ^-  hoon
+  ?-    -.lot
+      ~
+    ?:(rad [%rock p.lot] [%sand p.lot])
+  ::
+      %blob
+    ?:  rad
+      [%rock %$ p.lot]
+    ?@(p.lot [%sand %$ p.lot] [$(p.lot -.p.lot) $(p.lot +.p.lot)])
+  ::
+      %many
+    [%cltr (turn p.lot |=(a=coin ^$(lot a)))]
+  ==
+::
+++  look
+  ~/  %look
+  |=  [cog=term dab=(map term hoon)]
+  =+  axe=1
+  |-  ^-  (unit [p=axis q=hoon])
+  ?-  dab
+      ~  ~
+  ::
+      [* ~ ~]
+    ?:(=(cog p.n.dab) [~ axe q.n.dab] ~)
+  ::
+      [* ~ *]
+    ?:  =(cog p.n.dab)
+      [~ (peg axe 2) q.n.dab]
+    ?:  (gor cog p.n.dab)
+      ~
+    $(axe (peg axe 3), dab r.dab)
+  ::
+      [* * ~]
+    ?:  =(cog p.n.dab)
+      [~ (peg axe 2) q.n.dab]
+    ?:  (gor cog p.n.dab)
+      $(axe (peg axe 3), dab l.dab)
+    ~
+  ::
+      [* * *]
+    ?:  =(cog p.n.dab)
+      [~ (peg axe 2) q.n.dab]
+    ?:  (gor cog p.n.dab)
+      $(axe (peg axe 6), dab l.dab)
+    $(axe (peg axe 7), dab r.dab)
+  ==
+::
+++  loot
+  ~/  %loot
+  |=  [cog=term dom=(map term tome)]
+  =+  axe=1
+  |-  ^-  (unit [p=axis q=hoon])
+  ?-  dom
+      ~  ~
+  ::
+      [* ~ ~]
+    %+  bind  (look cog q.q.n.dom)
+    |=((pair axis hoon) [(peg axe p) q])
+  ::
+      [* ~ *]
+    =+  yep=(look cog q.q.n.dom)
+    ?^  yep
+      [~ (peg (peg axe 2) p.u.yep) q.u.yep]
+    $(axe (peg axe 3), dom r.dom)
+  ::
+      [* * ~]
+    =+  yep=(look cog q.q.n.dom)
+    ?^  yep
+      [~ (peg (peg axe 2) p.u.yep) q.u.yep]
+    $(axe (peg axe 3), dom l.dom)
+  ::
+      [* * *]
+    =+  yep=(look cog q.q.n.dom)
+    ?^  yep
+      [~ (peg (peg axe 2) p.u.yep) q.u.yep]
+    =+  pey=$(axe (peg axe 6), dom l.dom)
+    ?^  pey  pey
+    $(axe (peg axe 7), dom r.dom)
+  ==
+::
+::    5b: macro expansion
++|  %macro-expansions
+::
+++  ah                                                  ::  tiki engine
+  |_  tik=tiki
+  ++  blue
+    |=  gen=hoon
+    ^-  hoon
+    ?.  &(?=(%| -.tik) ?=(~ p.tik))  gen
+    [%tsgr [%$ 3] gen]
+  ::
+  ++  teal
+    |=  mod=spec
+    ^-  spec
+    ?:  ?=(%& -.tik)  mod
+    [%over [%& 3]~ mod]
+  ::
+  ++  tele
+    |=  syn=skin
+    ^-  skin
+    ?:  ?=(%& -.tik)  syn
+    [%over [%& 3]~ syn]
+  ::
+  ++  gray
+    |=  gen=hoon
+    ^-  hoon
+    ?-  -.tik
+      %&  ?~(p.tik gen [%tstr [u.p.tik ~] [%wing q.tik] gen])
+      %|  [%tsls ?~(p.tik q.tik [%ktts u.p.tik q.tik]) gen]
+    ==
+  ::
+  ++  puce
+    ^-  wing
+    ?-  -.tik
+      %&  ?~(p.tik q.tik [u.p.tik ~])
+      %|  [[%& 2] ~]
+    ==
+  ::
+  ++  wthp  |=  opt=(list (pair spec hoon))
+            %+  gray  %wthp
+            [puce (turn opt |=([a=spec b=hoon] [a (blue b)]))]
+  ++  wtkt  |=([sic=hoon non=hoon] (gray [%wtkt puce (blue sic) (blue non)]))
+  ++  wtls  |=  [gen=hoon opt=(list (pair spec hoon))]
+            %+  gray  %wtls
+            [puce (blue gen) (turn opt |=([a=spec b=hoon] [a (blue b)]))]
+  ++  wtpt  |=([sic=hoon non=hoon] (gray [%wtpt puce (blue sic) (blue non)]))
+  ++  wtsg  |=([sic=hoon non=hoon] (gray [%wtsg puce (blue sic) (blue non)]))
+  ++  wthx  |=(syn=skin (gray [%wthx (tele syn) puce]))
+  ++  wtts  |=(mod=spec (gray [%wtts (teal mod) puce]))
+  --
+::
+++  ax
+  =+  :*  ::  .dom: axis to home
+          ::  .hay: wing to home
+          ::  .cox: hygienic context
+          ::  .bug: debug annotations
+          ::  .nut: annotations
+          ::  .def: default expression
+          ::
+          dom=`axis`1
+          hay=*wing
+          cox=*(map term spec)
+          bug=*(list spot)
+          nut=*(unit note)
+          def=*(unit hoon)
+      ==
+  |_  mod=spec
+  ::
+  ++  autoname
+    ::    derive name from spec
+    ::
+    |-  ^-  (unit term)
+    ?-  -.mod
+      %base  ?.(?=([%atom *] p.mod) ~ ?:(=(%$ p.p.mod) `%atom `p.p.mod))
+      %dbug  $(mod q.mod)
+      %gist  $(mod q.mod)
+      %leaf  `p.mod
+      %loop  `p.mod
+      %like  ?~(p.mod ~ ?^(i.p.mod ?:(?=(%& -.i.p.mod) ~ q.i.p.mod) `i.p.mod))
+      %make  ~(name ap p.mod)
+      %made  $(mod q.mod)
+      %over  $(mod q.mod)
+      %name  $(mod q.mod)
+    ::
+      %bcbc  $(mod p.mod)
+      %bcbr  $(mod p.mod)
+      %bccb  ~(name ap p.mod)
+      %bccl  $(mod i.p.mod)
+      %bccn  $(mod i.p.mod)
+      %bcdt  ~
+      %bcgl  $(mod q.mod)
+      %bcgr  $(mod q.mod)
+      %bchp  $(mod p.mod)
+      %bckt  $(mod q.mod)
+      %bcls  $(mod q.mod)
+      %bcfs  ~
+      %bcmc  ~(name ap p.mod)
+      %bcpm  $(mod p.mod)
+      %bcsg  $(mod q.mod)
+      %bctc  ~
+      %bcts  $(mod q.mod)
+      %bcpt  $(mod q.mod)
+      %bcwt  $(mod i.p.mod)
+      %bczp  ~
+    ==
+  ::
+  ++  function
+    ::    construct a function example
+    ::
+    |=  [fun=spec arg=spec]
+    ^-  hoon
+    ::  minimal context as subject
+    ::
+    :+  %tsgr
+      ::  context is example of both specs
+      ::
+      [example:clear(mod fun) example:clear(mod arg)]
+    ::  produce an %iron (contravariant) core
+    ::
+    :-  %ktbr
+    ::  make an actual gate
+    ::
+    :+  %brcl
+      [%$ 2]
+    [%$ 15]
+  ::
+  ++  interface
+    ::    construct a core example
+    ::
+    |=  [variance=vair payload=spec arms=(map term spec)]
+    ^-  hoon
+    ::  attach proper variance control
+    ::
+    =-  ?-  variance
+          %gold  -
+          %lead  [%ktwt -]
+          %zinc  [%ktpm -]
+          %iron  [%ktbr -]
+        ==
+    ^-  hoon
+    :+  %tsgr  example:clear(mod payload)
+    :+  %brcn  ~
+    =-  [[%$ ~ -] ~ ~]
+    %-  ~(gas by *(map term hoon))
+    %+  turn
+      ~(tap by arms)
+    |=  [=term =spec]
+    ::
+    ::  note that we *don't* make arm specs in an interface
+    ::  hygienic -- we leave them in context, to support
+    ::  maximum programmer flexibility
+    ::
+    [term example:clear(mod spec)]
+  ::
+  ++  home
+    ::    express a hoon against the original subject
+    ::
+    |=  gen=hoon
+    ^-  hoon
+    =/  ,wing
+        ?:  =(1 dom)
+          hay
+        (weld hay `wing`[[%& dom] ~])
+    ?~  -  gen
+    [%tsgr [%wing -] gen]
+  ::
+  ++  clear
+    ::    clear annotations
+    ^+  .
+    .(bug ~, def ~, nut ~)
+  ::
+  ++  basal
+    ::    example base case
+    ::
+    |=  bas=base
+    ?-    bas
+    ::
+        [%atom *]
+      ::  we may want sped
+      ::
+      [%sand p.bas ?:(=(%da p.bas) ~2000.1.1 0)]
+    ::
+        %noun
+      ::  raw nock produces noun type
+      ::
+      =+([%rock %$ 0] [%ktls [%dttr - - [%rock %$ 1]] -])
+    ::
+        %cell
+      ::  reduce to pair of nouns
+      ::
+      =+($(bas %noun) [- -])
+    ::
+        %flag
+      ::  comparison produces boolean type
+      ::
+      =+([%rock %$ 0] [%ktls [%dtts - -] -])
+    ::
+        %null
+      [%rock %n 0]
+    ::
+        %void
+      [%zpzp ~]
+    ==
+  ::
+  ++  unfold
+    |=  [fun=hoon arg=(list spec)]
+    ^-  hoon
+    [%cncl fun (turn arg |=(spec ktcl/+<))]
+  ::
+  ++  unreel
+    |=  [one=wing res=(list wing)]
+    ^-  hoon
+    ?~(res [%wing one] [%tsgl [%wing one] $(one i.res, res t.res)])
+  ::
+  ++  descend
+    ::    record an axis to original subject
+    ::
+    |=  axe=axis
+    +>(dom (peg axe dom))
+  ::
+  ++  decorate
+    ::    apply documentation to expression
+    ::
+    |=  gen=hoon
+    ^-  hoon
+    =-  ?~(nut - [%note u.nut -])
+    |-
+    ?~(bug gen [%dbug i.bug $(bug t.bug)])
+  ::
+  ++  pieces
+    ::    enumerate tuple wings
+    ::
+    |=  =(list term)
+    ^-  (^list wing)
+    (turn list |=(=term `wing`[term ~]))
+  ::
+  ++  spore
+    ::    build default sample
+    ::
+    ^-  hoon
+    ::  sample is always typeless
+    ::
+    :+  %ktls
+      [%bust %noun]
+    ::  consume debugging context
+    ::
+    %-  decorate
+    ::  use home as subject
+    ::
+    %-  home
+    ::  if default is set, use it
+    ::
+    ?^  def  u.def
+    ::  else map structure to expression
+    ::
+    ~+
+    |-  ^-  hoon
+    ?-  mod
+      [%base *]  ?:(=(%void p.mod) [%rock %n 0] (basal p.mod))
+      [%bcbc *]  ::  track hygienic recursion points lexically
+                 ::
+                 %=  $
+                   mod  p.mod
+                   cox  ::  merge lexically and don't forget %$
+                        ::
+                        (~(put by ^+(cox (~(uni by cox) q.mod))) %$ p.mod)
+                 ==
+      [%dbug *]  [%dbug p.mod $(mod q.mod)]
+      [%gist *]  $(mod q.mod)
+      [%leaf *]  [%rock p.mod q.mod]
+      [%loop *]  ~|([%loop p.mod] $(mod (~(got by cox) p.mod)))
+      [%like *]  $(mod bcmc/(unreel p.mod q.mod))
+      [%made *]  $(mod q.mod)
+      [%make *]  $(mod bcmc/(unfold p.mod q.mod))
+      [%name *]  $(mod q.mod)
+      [%over *]  $(hay p.mod, mod q.mod)
+    ::
+      [%bcbr *]  $(mod p.mod)
+      [%bccb *]  [%rock %n 0]
+      [%bccl *]  |-  ^-  hoon
+                 ?~  t.p.mod  ^$(mod i.p.mod)
+                 :-  ^$(mod i.p.mod)
+                 $(i.p.mod i.t.p.mod, t.p.mod t.t.p.mod)
+      [%bccn *]  ::  use last entry
+                 ::
+                 |-  ^-  hoon
+                 ?~  t.p.mod  ^$(mod i.p.mod)
+                 $(i.p.mod i.t.p.mod, t.p.mod t.t.p.mod)
+      [%bchp *]  ::  see under %bccb
+                 ::
+                 [%rock %n 0]
+      [%bcgl *]  $(mod q.mod)
+      [%bcgr *]  $(mod q.mod)
+      [%bckt *]  $(mod q.mod)
+      [%bcls *]  [%note [%know p.mod] $(mod q.mod)]
+      [%bcmc *]  ::  borrow sample
+                 ::
+                 [%tsgl [%$ 6] p.mod]
+      [%bcpm *]  $(mod p.mod)
+      [%bcsg *]  [%kthp q.mod p.mod]
+      [%bcts *]  [%ktts p.mod $(mod q.mod)]
+      [%bcpt *]  $(mod p.mod)
+      [%bcwt *]  ::  use last entry
+                 ::
+                 |-  ^-  hoon
+                 ?~  t.p.mod  ^$(mod i.p.mod)
+                 $(i.p.mod i.t.p.mod, t.p.mod t.t.p.mod)
+      [%bcdt *]  [%rock %n 0]
+      [%bcfs *]  [%rock %n 0]
+      [%bctc *]  [%rock %n 0]
+      [%bczp *]  [%rock %n 0]
+    ==
+  ::
+  ++  example
+    ::    produce a correctly typed default instance
+    ::
+    ~+
+    ^-  hoon
+    ?+  mod
+      ::  in the general case, make and analyze a spore
+      ::
+      :+  %tsls
+        spore
+      ~(relative analyze:(descend 3) 2)
+    ::
+      [%base *]  (decorate (basal p.mod))
+      [%dbug *]  example(mod q.mod, bug [p.mod bug])
+      [%gist *]  example(mod q.mod, nut `p.mod)
+      [%leaf *]  (decorate [%rock p.mod q.mod])
+      [%like *]  example(mod bcmc/(unreel p.mod q.mod))
+      [%loop *]  [%limb p.mod]
+      [%made *]  example(mod q.mod, nut `made/[p.p.mod `(pieces q.p.mod)])
+      [%make *]  example(mod bcmc/(unfold p.mod q.mod))
+      [%name *]  example(mod q.mod, nut `made/[p.mod ~])
+      [%over *]  example(hay p.mod, mod q.mod)
+    ::
+      [%bccb *]  (decorate (home p.mod))
+      [%bccl *]  %-  decorate
+                 |-  ^-  hoon
+                 ?~  t.p.mod
+                   example:clear(mod i.p.mod)
+                 :-  example:clear(mod i.p.mod)
+                 example:clear(i.p.mod i.t.p.mod, t.p.mod t.t.p.mod)
+      [%bchp *]  (decorate (function:clear p.mod q.mod))
+      [%bcmc *]  (decorate (home [%tsgl [%limb %$] p.mod]))
+      [%bcsg *]  [%ktls example(mod q.mod) (home p.mod)]
+      [%bcls *]  (decorate [%note [%know p.mod] example(mod q.mod)])
+      [%bcts *]  (decorate [%ktts p.mod example:clear(mod q.mod)])
+      [%bcdt *]  (decorate (home (interface %gold p.mod q.mod)))
+      [%bcfs *]  (decorate (home (interface %iron p.mod q.mod)))
+      [%bczp *]  (decorate (home (interface %lead p.mod q.mod)))
+      [%bctc *]  (decorate (home (interface %zinc p.mod q.mod)))
+    ==
+  ::
+  ++  factory
+    ::    make a normalizing gate (mold)
+    ::
+    ^-  hoon
+    ::  process annotations outside construct, to catch default
+    ::
+    ::TODO: try seeing if putting %gist in here fixes %brbc
+    ?:  ?=(%dbug -.mod)  factory(mod q.mod, bug [p.mod bug])
+    ?:  ?=(%bcsg -.mod)  factory(mod q.mod, def `[%kthp q.mod p.mod])
+    ^-  hoon
+    ::  if we recognize an indirection
+    ::
+    ?:  &(=(~ def) ?=(?(%bcmc %like %loop %make) -.mod))
+      ::  then short-circuit it
+      ::
+      %-  decorate
+      %-  home
+      ?-  -.mod
+        %bcmc  p.mod
+        %like  (unreel p.mod q.mod)
+        %loop  [%limb p.mod]
+        %make  (unfold p.mod q.mod)
+      ==
+    ::  else build a gate
+    ::
+    :+  %brcl
+      [%ktsg spore]
+    :+  %tsls
+      ~(relative analyze:(descend 7) 6)
+    ::  trigger unifying equality
+    ::
+    :+  %tsls  [%dtts $/14 $/2]
+    $/6
+  ::
+  ++  analyze
+    ::    normalize a fragment of the subject
+    ::
+    |_  $:  ::  axe: axis to fragment
+            ::
+            axe=axis
+        ==
+    ++  basic
+      |=  bas=base
+      ^-  hoon
+      ?-    bas
+          [%atom *]
+        :+  %ktls  example
+        ^-  hoon
+        :^    %zppt
+            [[[%| 0 `%ruth] ~] ~]
+          [%cnls [%limb %ruth] [%sand %ta p.bas] fetch]
+        [%wtpt fetch-wing fetch [%zpzp ~]]
+      ::
+          %cell
+        :+  %ktls  example
+        =+  fetch-wing
+        :-  [%wing [[%& %2] -]]
+            [%wing [[%& %3] -]]
+      ::
+          %flag
+        :^    %wtcl
+            [%dtts [%rock %$ &] [%$ axe]]
+          [%rock %f &]
+        :+  %wtgr
+          [%dtts [%rock %$ |] [%$ axe]]
+        [%rock %f |]
+      ::
+          %noun
+        fetch
+      ::
+          %null
+        :+  %wtgr
+          [%dtts [%bust %noun] [%$ axe]]
+        [%rock %n ~]
+      :::
+          %void
+        [%zpzp ~]
+      ==
+    ++  clear
+      .(..analyze ^clear)
+    ::
+    ++  fetch
+      ::    load the fragment
+      ::
+      ^-  hoon
+      [%$ axe]
+    ::
+    ++  fetch-wing
+      ::    load, as a wing
+      ::
+      ^-  wing
+      [[%& axe] ~]
+    ::
+    ++  choice
+      ::    match full models, by trying them
+      ::
+      |=  $:  ::  one: first option
+              ::  rep: other options
+              ::
+              one=spec
+              rep=(list spec)
+          ==
+      ^-  hoon
+      ::  if no other choices, construct head
+      ::
+      ?~  rep  relative:clear(mod one)
+      ::  build test
+      ::
+      :^    %wtcl
+          ::  if we fit the type of this choice
+          ::
+          [%fits example:clear(mod one) fetch-wing]
+        ::  build with this choice
+        ::
+        relative:clear(mod one)
+      ::  continue through loop
+      ::
+      $(one i.rep, rep t.rep)
+    ::
+    ++  switch
+      |=  $:  ::  one: first format
+              ::  two: more formats
+              ::
+              one=spec
+              rep=(list spec)
+          ==
+      |-  ^-  hoon
+      ::  if no other choices, construct head
+      ::
+      ?~  rep  relative:clear(mod one)
+      ::  fin: loop completion
+      ::
+      =/  fin=hoon  $(one i.rep, rep t.rep)
+      ::  interrogate this instance
+      ::
+      :^    %wtcl
+          ::  test if the head matches this wing
+          ::
+          :+  %fits
+            [%tsgl [%$ 2] example:clear(mod one)]
+          fetch-wing(axe (peg axe 2))
+        ::  if so, use this form
+        ::
+        relative:clear(mod one)
+      ::  continue in the loop
+      ::
+      fin
+    ::
+    ++  relative
+      ::    local constructor
+      ::
+      ~+
+      ^-  hoon
+      ?-    mod
+      ::
+      ::  base
+      ::
+          [%base *]
+        (decorate (basic:clear p.mod))
+      ::
+      ::  debug
+      ::
+          [%dbug *]
+        relative(mod q.mod, bug [p.mod bug])
+      ::
+      ::  formal comment
+      ::
+          [%gist *]
+        relative(mod q.mod, nut `p.mod)
+      ::
+      ::  constant
+      ::
+          [%leaf *]
+        %-  decorate
+        :+  %wtgr
+          [%dtts fetch [%rock %$ q.mod]]
+        [%rock p.mod q.mod]
+      ::
+      ::  composite
+      ::
+          [%make *]
+        relative(mod bcmc/(unfold p.mod q.mod))
+      ::
+      ::  indirect
+      ::
+          [%like *]
+        relative(mod bcmc/(unreel p.mod q.mod))
+      ::
+      ::  loop
+      ::
+          [%loop *]
+        (decorate [%cnhp [%limb p.mod] fetch])
+      ::
+      ::  simple named structure
+      ::
+          [%name *]
+        relative(mod q.mod, nut `made/[p.mod ~])
+      ::
+      ::  synthetic named structure
+      ::
+          [%made *]
+        relative(mod q.mod, nut `made/[p.p.mod `(pieces q.p.mod)])
+      ::
+      ::  subjective
+      ::
+          [%over *]
+        relative(hay p.mod, mod q.mod)
+      ::
+      ::  recursive, $$
+      ::
+          [%bcbc *]
+        ::
+        ::  apply semantically
+        ::
+        :+  %brkt
+          relative(mod p.mod, dom (peg 3 dom))
+        =-  [[%$ ~ -] ~ ~]
+        %-  ~(gas by *(map term hoon))
+        ^-  (list (pair term hoon))
+        %+  turn
+          ~(tap by q.mod)
+        |=  [=term =spec]
+        [term relative(mod spec, dom (peg 3 dom))]
+      ::
+      ::  normalize, $&
+      ::
+          [%bcpm *]
+        ::  push the raw result
+        ::
+        :+  %tsls  relative(mod p.mod)
+        ::  push repair function
+        ::
+        :+  %tsls
+          [%tsgr $/3 q.mod]
+        ::  push repaired product
+        ::
+        :+  %tsls
+          [%cnhp $/2 $/6]
+        ::  sanity-check repaired product
+        ::
+        :+  %wtgr
+          ::  either
+          ::
+          :~  %wtbr
+              ::  the repair did not change anything
+              ::
+              [%dtts $/14 $/2]
+              ::  when we fix it again, it stays fixed
+              ::
+              [%dtts $/2 [%cnhp $/6 $/2]]
+          ==
+        $/2
+      ::
+      ::  verify, $|
+      ::
+          [%bcbr *]
+        ^-  hoon
+        ::  push the raw product
+        ::
+        :+  %tsls  relative(mod p.mod)
+        ^-  hoon
+        ::  assert
+        ::
+        :+  %wtgr
+          ::  run the verifier
+          ::
+          [%cnhp [%tsgr $/3 q.mod] $/2]
+        ::  produce verified product
+        ::
+        $/2
+      ::
+      ::  special, $_
+      ::
+          [%bccb *]
+        (decorate (home p.mod))
+      ::
+      ::  switch, $%
+      ::
+          [%bccn *]
+        (decorate (switch i.p.mod t.p.mod))
+      ::
+      ::  tuple, $:
+      ::
+          [%bccl *]
+        %-  decorate
+        |-  ^-  hoon
+        ?~  t.p.mod
+          relative:clear(mod i.p.mod)
+        :-  relative:clear(mod i.p.mod, axe (peg axe 2))
+        %=  relative
+          i.p.mod  i.t.p.mod
+          t.p.mod  t.t.p.mod
+          axe      (peg axe 3)
+        ==
+      ::
+      ::  exclude, $<
+      ::
+          [%bcgl *]
+        :+  %tsls
+          relative:clear(mod q.mod)
+        :+  %wtgl
+          [%wtts [%over ~[&/3] p.mod] ~[&/4]]
+        $/2
+      ::
+      ::  require, $>
+      ::
+          [%bcgr *]
+        :+  %tsls
+          relative:clear(mod q.mod)
+        :+  %wtgr
+          [%wtts [%over ~[&/3] p.mod] ~[&/4]]
+        $/2
+      ::
+      ::  function
+      ::
+          [%bchp *]
+        %-  decorate
+        =/  fun  (function:clear p.mod q.mod)
+        ?^  def
+          [%ktls fun u.def]
+        fun
+      ::
+      ::  bridge, $^
+      ::
+          [%bckt *]
+        %-  decorate
+        :^    %wtcl
+            [%dtwt fetch(axe (peg axe 2))]
+          relative:clear(mod p.mod)
+        relative:clear(mod q.mod)
+      ::
+      ::  synthesis, $;
+      ::
+          [%bcmc *]
+        (decorate [%cncl (home p.mod) fetch ~])
+      ::
+      ::  default
+      ::
+          [%bcsg *]
+        relative(mod q.mod, def `[%kthp q.mod p.mod])
+      ::
+      ::  choice, $?
+      ::
+          [%bcwt *]
+        (decorate (choice i.p.mod t.p.mod))
+      ::
+      ::  name, $=
+      ::
+          [%bcts *]
+        [%ktts p.mod relative(mod q.mod)]
+      ::
+      ::  branch, $@
+      ::
+          [%bcpt *]
+        %-  decorate
+        :^    %wtcl
+            [%dtwt fetch]
+          relative:clear(mod q.mod)
+        relative:clear(mod p.mod)
+      ::
+        [%bcls *]  [%note [%know p.mod] relative(mod q.mod)]
+        [%bcdt *]  (decorate (home (interface %gold p.mod q.mod)))
+        [%bcfs *]  (decorate (home (interface %iron p.mod q.mod)))
+        [%bczp *]  (decorate (home (interface %lead p.mod q.mod)))
+        [%bctc *]  (decorate (home (interface %zinc p.mod q.mod)))
+      ==
+    --
+  --
+::
+++  ap                                                  ::  hoon engine
+  ~%    %ap
+      +>+
+    ==
+      %open  open
+      %rake  rake
+    ==
+  |_  gen=hoon
+  ::
+  ++  grip
+    |=  =skin
+    =|  rel=wing
+    |-  ^-  hoon
+    ?-    skin
+        @
+      [%tsgl [%tune skin] gen]
+        [%base *]
+      ?:  ?=(%noun base.skin)
+        gen
+      [%kthp skin gen]
+    ::
+        [%cell *]
+      =+  haf=~(half ap gen)
+      ?^  haf
+        :-  $(skin skin.skin, gen p.u.haf)
+        $(skin ^skin.skin, gen q.u.haf)
+      :+  %tsls
+        gen
+      :-  $(skin skin.skin, gen [%$ 4])
+      $(skin ^skin.skin, gen [%$ 5])
+    ::
+        [%dbug *]
+      [%dbug spot.skin $(skin skin.skin)]
+    ::
+        [%leaf *]
+      [%kthp skin gen]
+    ::
+        [%help *]
+      [%note [%help help.skin] $(skin skin.skin)]
+    ::
+        [%name *]
+      [%tsgl [%tune term.skin] $(skin skin.skin)]
+    ::
+        [%over *]
+      $(skin skin.skin, rel (weld wing.skin rel))
+    ::
+        [%spec *]
+      :+  %kthp
+        ?~(rel spec.skin [%over rel spec.skin])
+      $(skin skin.skin)
+    ::
+        [%wash *]
+      :+  %tsgl
+        :-  %wing
+        |-  ^-  wing
+        ?:  =(0 depth.skin)  ~
+        [[%| 0 ~] $(depth.skin (dec depth.skin))]
+      gen
+    ==
+  ::
+  ++  name
+    |-  ^-  (unit term)
+    ?+  gen  ~
+      [%wing *]  ?~  p.gen  ~
+                 ?^  i.p.gen
+                   ?:(?=(%& -.i.p.gen) ~ q.i.p.gen)
+                 `i.p.gen
+      [%limb *]  `p.gen
+      [%dbug *]  $(gen ~(open ap gen))
+      [%tsgl *]  $(gen ~(open ap gen))
+      [%tsgr *]  $(gen q.gen)
+    ==
+  ::
+  ++  feck
+    |-  ^-  (unit term)
+    ?-  gen
+      [%sand %tas @]  [~ q.gen]
+      [%dbug *]       $(gen q.gen)
+      *               ~
+    ==
+  ::
+  ::  not used at present; see comment at %csng in ++open
+::::
+::++  hail
+::  |=  axe=axis
+::  =|  air=(list (pair wing hoon))
+::  |-  ^+  air
+::  =+  hav=half
+::  ?~  hav  [[[[%| 0 ~] [%& axe] ~] gen] air]
+::  $(gen p.u.hav, axe (peg axe 2), air $(gen q.u.hav, axe (peg axe 3)))
+::
+  ++  half
+    |-  ^-  (unit (pair hoon hoon))
+    ?+  gen  ~
+      [^ *]       `[p.gen q.gen]
+      [%dbug *]   $(gen q.gen)
+      [%clcb *]   `[q.gen p.gen]
+      [%clhp *]   `[p.gen q.gen]
+      [%clkt *]   `[p.gen %clls q.gen r.gen s.gen]
+      [%clsg *]   ?~(p.gen ~ `[i.p.gen %clsg t.p.gen])
+      [%cltr *]   ?~  p.gen  ~
+                  ?~(t.p.gen $(gen i.p.gen) `[i.p.gen %cltr t.p.gen])
+    ==
+::::
+  ::  +flay: hoon to skin
+  ::
+  ++  flay
+    |-  ^-  (unit skin)
+    ?+    gen
+      =+(open ?:(=(- gen) ~ $(gen -)))
+    ::
+        [^ *]
+      =+  [$(gen p.gen) $(gen q.gen)]
+      ?~(-< ~ ?~(-> ~ `[%cell -<+ ->+]))
+    ::
+        [%base *]
+      `gen
+    ::
+        [%rock *]
+      ?@(q.gen `[%leaf p.gen q.gen] ~)
+    ::
+        [%cnts [@ ~] ~]
+      `i.p.gen
+    ::
+        [%tsgr *]
+      %+  biff  reek(gen p.gen)
+      |=  =wing
+      (bind ^$(gen q.gen) |=(=skin [%over wing skin]))
+    ::
+        [%limb @]
+      `p.gen
+    ::
+      ::  [%rock *]
+      ::  [%spec %leaf q.gen q.gen]
+    ::
+        [%note [%help *] *]
+      (bind $(gen q.gen) |=(=skin [%help p.p.gen skin]))
+    ::
+        [%wing *]
+      ?:  ?=([@ ~] p.gen)
+        `i.p.gen
+      =/  depth  0
+      |-  ^-  (unit skin)
+      ?~  p.gen  `[%wash depth]
+      ?.  =([%| 0 ~] i.p.gen)  ~
+      $(p.gen t.p.gen)
+    ::
+        [%kttr *]
+      `[%spec p.gen %base %noun]
+    ::
+        [%ktts *]
+      %+  biff  $(gen q.gen)
+      |=  =skin
+      ?@  p.gen  `[%name p.gen skin]
+      ?.  ?=([%name @ [%base %noun]] p.gen)  ~
+      `[%name term.p.gen skin]
+    ==
+  ::
+  ::  +open: desugarer
+  ++  open
+    ^-  hoon
+    ?-    gen
+        [~ *]     [%cnts [[%& p.gen] ~] ~]
+    ::
+        [%base *]  ~(factory ax `spec`gen)
+        [%bust *]  ~(example ax %base p.gen)
+        [%ktcl *]  ~(factory ax p.gen)
+        [%dbug *]   q.gen
+        [%eror *]  ~_((crip p.gen) !!)
+    ::
+        [%knit *]                                       ::
+      :+  %tsgr  [%ktts %v %$ 1]                        ::  =>  v=.
+      :-  %brhp                                         ::  |-
+      :+  %ktls                                         ::  ^+
+        :-  %brhp                                       ::  |-
+        :^    %wtcl                                     ::  ?:
+            [%bust %flag]                               ::  ?
+          [%bust %null]                                 ::  ~
+        :-  [%ktts %i [%sand 'tD' *@]]                  ::  :-  i=~~
+        [%ktts %t [%limb %$]]                           ::  t=$
+      |-  ^-  hoon                                      ::
+      ?~  p.gen                                         ::
+        [%bust %null]                                   ::  ~
+      =+  res=$(p.gen t.p.gen)                          ::
+      ^-  hoon                                          ::
+      ?@  i.p.gen                                       ::
+        [[%sand 'tD' i.p.gen] res]                      ::  [~~{i.p.gen} {res}]
+      :+  %tsls                                         ::
+        :-  :+  %ktts                                   ::  ^=
+              %a                                        ::  a
+            :+  %ktls                                   ::  ^+
+              [%limb %$]                                ::  $
+            [%tsgr [%limb %v] p.i.p.gen]                ::  =>(v {p.i.p.gen})
+        [%ktts %b res]                                  ::  b=[res]
+      ^-  hoon                                          ::
+      :-  %brhp                                         ::  |-
+      :^    %wtpt                                       ::  ?@
+          [%a ~]                                        ::  a
+        [%limb %b]                                      ::  b
+      :-  [%tsgl [%$ 2] [%limb %a]]                     ::  :-  -.a
+      :+  %cnts                                         ::  %=
+        [%$ ~]                                          ::  $
+      [[[%a ~] [%tsgl [%$ 3] [%limb %a]]] ~]            ::  a  +.a
+    ::
+        [%leaf *]  ~(factory ax `spec`gen)
+        [%limb *]  [%cnts [p.gen ~] ~]
+        [%tell *]  [%cncl [%limb %noah] [%zpgr [%cltr p.gen]] ~]
+        [%wing *]  [%cnts p.gen ~]
+        [%yell *]  [%cncl [%limb %cain] [%zpgr [%cltr p.gen]] ~]
+        [%note *]  q.gen
+    ::
+    ::TODO: does %gist need to be special cased here?
+        [%brbc *]  =-  ?~  -  !!
+                       :+  %brtr
+                         [%bccl -]
+                       |-
+                       ?.  ?=([%gist *] body.gen)
+                         [%ktcl body.gen]
+                       [%note p.body.gen $(body.gen q.body.gen)]
+                   %+  turn  `(list term)`sample.gen
+                   |=  =term
+                   ^-  spec
+                   =/  tar  [%base %noun]
+                   [%bcts term [%bcsg tar [%bchp tar tar]]]
+        [%brcb *]  :+  %tsls  [%kttr p.gen]
+                   :+  %brcn  ~
+                   %-  ~(run by r.gen)
+                   |=  =tome
+                   :-  p.tome
+                   %-  ~(run by q.tome)
+                   |=  =hoon
+                   ?~  q.gen  hoon
+                   [%tstr [p.i.q.gen ~] q.i.q.gen $(q.gen t.q.gen)]
+        [%brcl *]  [%tsls p.gen [%brdt q.gen]]
+        [%brdt *]  :+  %brcn  ~
+                   =-  [[%$ ~ -] ~ ~]
+                   (~(put by *(map term hoon)) %$ p.gen)
+        [%brkt *]  :+  %tsgl  [%limb %$]
+                   :+  %brcn  ~
+                   =+  zil=(~(get by q.gen) %$)
+                   ?~  zil
+                     %+  ~(put by q.gen)  %$
+                     [*what [[%$ p.gen] ~ ~]]
+                   %+  ~(put by q.gen)  %$
+                   [p.u.zil (~(put by q.u.zil) %$ p.gen)]
+        [%brhp *]  [%tsgl [%limb %$] [%brdt p.gen]]
+        [%brsg *]  [%ktbr [%brts p.gen q.gen]]
+        [%brtr *]  :+  %tsls  [%kttr p.gen]
+                   :+  %brpt  ~
+                   =-  [[%$ ~ -] ~ ~]
+                   (~(put by *(map term hoon)) %$ q.gen)
+        [%brts *]  :+  %brcb  p.gen
+                   =-  [~ [[%$ ~ -] ~ ~]]
+                   (~(put by *(map term hoon)) %$ q.gen)
+        [%brwt *]  [%ktwt %brdt p.gen]
+    ::
+        [%clkt *]  [p.gen q.gen r.gen s.gen]
+        [%clls *]  [p.gen q.gen r.gen]
+        [%clcb *]  [q.gen p.gen]
+        [%clhp *]  [p.gen q.gen]
+        [%clsg *]
+      |-  ^-  hoon
+      ?~  p.gen
+        [%rock %n ~]
+      [i.p.gen $(p.gen t.p.gen)]
+    ::
+        [%cltr *]
+      |-  ^-  hoon
+      ?~  p.gen
+        [%zpzp ~]
+      ?~  t.p.gen
+        i.p.gen
+      [i.p.gen $(p.gen t.p.gen)]
+    ::
+        [%kttr *]  [%ktsg ~(example ax p.gen)]
+        [%cncb *]  [%ktls [%wing p.gen] %cnts p.gen q.gen]
+        [%cndt *]  [%cncl q.gen [p.gen ~]]
+        [%cnkt *]  [%cncl p.gen q.gen r.gen s.gen ~]
+        [%cnls *]  [%cncl p.gen q.gen r.gen ~]
+        [%cnhp *]  [%cncl p.gen q.gen ~]
+        ::  this probably should work, but doesn't
+        ::
+        ::  [%cncl *]  [%cntr [%$ ~] p.gen [[[[%& 6] ~] [%cltr q.gen]] ~]]
+        [%cncl *]  [%cnsg [%$ ~] p.gen q.gen]
+        [%cnsg *]
+      ::  this complex matching system is a leftover from the old
+      ::  "electroplating" era.  %cnsg should be removed and replaced
+      ::  with the commented-out %cncl above.  but something is broken.
+      ::
+      :^  %cntr  p.gen  q.gen
+      =+  axe=6
+      |-  ^-  (list [wing hoon])
+      ?~  r.gen  ~
+      ?~  t.r.gen  [[[[%| 0 ~] [%& axe] ~] i.r.gen] ~]
+      :-  [[[%| 0 ~] [%& (peg axe 2)] ~] i.r.gen]
+      $(axe (peg axe 3), r.gen t.r.gen)
+    ::
+        [%cntr *]
+      ?:  =(~ r.gen)
+        [%tsgr q.gen [%wing p.gen]]
+      :+  %tsls
+        q.gen
+      :+  %cnts
+        (weld p.gen `wing`[[%& 2] ~])
+      (turn r.gen |=([p=wing q=hoon] [p [%tsgr [%$ 3] q]]))
+    ::
+        [%ktdt *]  [%ktls [%cncl p.gen q.gen ~] q.gen]
+        [%kthp *]  [%ktls ~(example ax p.gen) q.gen]
+        [%ktts *]  (grip(gen q.gen) p.gen)
+    ::
+        [%sgbr *]
+      :+  %sggr
+        :-  %mean
+        =+  fek=~(feck ap p.gen)
+        ?^  fek  [%rock %tas u.fek]
+        [%brdt [%cncl [%limb %cain] [%zpgr [%tsgr [%$ 3] p.gen]] ~]]
+      q.gen
+    ::
+        [%sgcb *]  [%sggr [%mean [%brdt p.gen]] q.gen]
+        [%sgcn *]
+      :+  %sggl
+        :-  %fast
+        :-  %clls
+        :+  [%rock %$ p.gen]
+          [%zpts q.gen]
+        :-  %clsg
+        =+  nob=`(list hoon)`~
+        |-  ^-  (list hoon)
+        ?~  r.gen
+          nob
+        [[[%rock %$ p.i.r.gen] [%zpts q.i.r.gen]] $(r.gen t.r.gen)]
+      s.gen
+    ::
+        [%sgfs *]  [%sgcn p.gen [%$ 7] ~ q.gen]
+        [%sggl *]  [%tsgl [%sggr p.gen [%$ 1]] q.gen]
+        [%sgbc *]  [%sggr [%live [%rock %$ p.gen]] q.gen]
+        [%sgls *]  [%sggr [%memo %rock %$ p.gen] q.gen]
+        [%sgpm *]
+      :+  %sggr
+        [%slog [%sand %$ p.gen] [%cncl [%limb %cain] [%zpgr q.gen] ~]]
+      r.gen
+    ::
+        [%sgts *]  [%sggr [%germ p.gen] q.gen]
+        [%sgwt *]
+      :+  %tsls  [%wtdt q.gen [%bust %null] [[%bust %null] r.gen]]
+      :^  %wtsg  [%& 2]~
+        [%tsgr [%$ 3] s.gen]
+      [%sgpm p.gen [%$ 5] [%tsgr [%$ 3] s.gen]]
+    ::
+        [%mcts *]
+      |-
+      ?~  p.gen  [%bust %null]
+      ?-  -.i.p.gen
+        ^      [[%xray i.p.gen] $(p.gen t.p.gen)]
+        %manx  [p.i.p.gen $(p.gen t.p.gen)]
+        %tape  [[%mcfs p.i.p.gen] $(p.gen t.p.gen)]
+        %call  [%cncl p.i.p.gen [$(p.gen t.p.gen)]~]
+        %marl  =-  [%cndt [p.i.p.gen $(p.gen t.p.gen)] -]
+               ^-  hoon
+               :+  %tsbr  [%base %cell]
+               :+  %brpt  ~
+               ^-  (map term tome)
+               =-  [[%$ ~ -] ~ ~]
+               ^-  (map term hoon)
+               :_  [~ ~]
+               =+  sug=[[%& 12] ~]
+               :-  %$
+               :^  %wtsg  sug
+                 [%cnts sug [[[[%& 1] ~] [%$ 13]] ~]]
+               [%cnts sug [[[[%& 3] ~] [%cnts [%$ ~] [[sug [%$ 25]] ~]]] ~]]
+      ==
+    ::
+        [%mccl *]
+      ?-    q.gen
+          ~      [%zpzp ~]
+          [* ~]  i.q.gen
+          ^
+        :+  %tsls
+          p.gen
+        =+  yex=`(list hoon)`q.gen
+        |-  ^-  hoon
+        ?-  yex
+          [* ~]  [%tsgr [%$ 3] i.yex]
+          [* ^]   [%cncl [%$ 2] [%tsgr [%$ 3] i.yex] $(yex t.yex) ~]
+          ~      !!
+        ==
+      ==
+    ::
+        [%mcfs *]  =+(zoy=[%rock %ta %$] [%clsg [zoy [%clsg [zoy p.gen] ~]] ~])
+        [%mcgl *]  [%cnls [%cnhp q ktcl+p] r [%brts p [%tsgr $+3 s]]]:gen
+    ::
+        [%mcsg *]                                       ::                  ;~
+      |-  ^-  hoon
+      ?-  q.gen
+          ~      ~_(leaf+"open-mcsg" !!)
+          ^
+        :+  %tsgr  [%ktts %v %$ 1]                      ::  =>  v=.
+        |-  ^-  hoon                                    ::
+        ?:  ?=(~ t.q.gen)                               ::
+          [%tsgr [%limb %v] i.q.gen]                    ::  =>(v {i.q.gen})
+        :+  %tsls  [%ktts %a $(q.gen t.q.gen)]          ::  =+  ^=  a
+        :+  %tsls                                       ::    {$(q.gen t.q.gen)}
+          [%ktts %b [%tsgr [%limb %v] i.q.gen]]         ::  =+  ^=  b
+        :+  %tsls                                       ::    =>(v {i.q.gen})
+          :+  %ktts  %c                                 ::  =+  c=,.+6.b
+          :+  %tsgl                                     ::
+            [%wing [%| 0 ~] [%& 6] ~]                   ::
+          [%limb %b]                                    ::
+        :-  %brdt                                       ::  |.
+        :^    %cnls                                     ::  %+
+            [%tsgr [%limb %v] p.gen]                    ::      =>(v {p.gen})
+          [%cncl [%limb %b] [%limb %c] ~]               ::    (b c)
+        :+  %cnts  [%a ~]                               ::  a(,.+6 c)
+        [[[[%| 0 ~] [%& 6] ~] [%limb %c]] ~]            ::
+      ==                                                ::
+    ::
+        [%mcmc *]                                       ::                  ;;
+      [%cnhp ~(factory ax p.gen) q.gen]
+    ::
+        [%tsbr *]
+      [%tsls ~(example ax p.gen) q.gen]
+    ::
+        [%tstr *]
+      :+  %tsgl
+        r.gen
+      [%tune [[p.p.gen ~ ?~(q.p.gen q.gen [%kthp u.q.p.gen q.gen])] ~ ~] ~]
+    ::
+        [%tscl *]
+      [%tsgr [%cncb [[%& 1] ~] p.gen] q.gen]
+    ::
+        [%tsfs *]
+      [%tsls [%ktts p.gen q.gen] r.gen]
+    ::
+        [%tsmc *]  [%tsfs p.gen r.gen q.gen]
+        [%tsdt *]
+      [%tsgr [%cncb [[%& 1] ~] [[p.gen q.gen] ~]] r.gen]
+        [%tswt *]                                       ::                  =?
+      [%tsdt p.gen [%wtcl q.gen r.gen [%wing p.gen]] s.gen]
+    ::
+        [%tskt *]                                       ::                  =^
+      =+  wuy=(weld q.gen `wing`[%v ~])                 ::
+      :+  %tsgr  [%ktts %v %$ 1]                        ::  =>  v=.
+      :+  %tsls  [%ktts %a %tsgr [%limb %v] r.gen]      ::  =+  a==>(v \r.gen)
+      :^  %tsdt  wuy  [%tsgl [%$ 3] [%limb %a]]
+      :+  %tsgr  :-  :+  %ktts  [%over [%v ~] p.gen]
+                     [%tsgl [%$ 2] [%limb %a]]
+                 [%limb %v]
+      s.gen
+    ::
+        [%tsgl *]  [%tsgr q.gen p.gen]
+        [%tsls *]  [%tsgr [p.gen [%$ 1]] q.gen]
+        [%tshp *]  [%tsls q.gen p.gen]
+        [%tssg *]
+      |-  ^-  hoon
+      ?~  p.gen    [%$ 1]
+      ?~  t.p.gen  i.p.gen
+      [%tsgr i.p.gen $(p.gen t.p.gen)]
+    ::
+        [%wtbr *]
+      |-
+      ?~(p.gen [%rock %f 1] [%wtcl i.p.gen [%rock %f 0] $(p.gen t.p.gen)])
+    ::
+        [%wtdt *]   [%wtcl p.gen r.gen q.gen]
+        [%wtgl *]   [%wtcl p.gen [%zpzp ~] q.gen]
+        [%wtgr *]   [%wtcl p.gen q.gen [%zpzp ~]]
+        [%wtkt *]   [%wtcl [%wtts [%base %atom %$] p.gen] r.gen q.gen]
+    ::
+        [%wthp *]
+      |-
+      ?~  q.gen
+        [%lost [%wing p.gen]]
+      :^    %wtcl
+          [%wtts p.i.q.gen p.gen]
+        q.i.q.gen
+      $(q.gen t.q.gen)
+    ::
+        [%wtls *]
+      [%wthp p.gen (weld r.gen `_r.gen`[[[%base %noun] q.gen] ~])]
+    ::
+        [%wtpm *]
+      |-
+      ?~(p.gen [%rock %f 0] [%wtcl i.p.gen $(p.gen t.p.gen) [%rock %f 1]])
+    ::
+        [%xray *]
+      |^  :-  [(open-mane n.g.p.gen) %clsg (turn a.g.p.gen open-mart)]
+          [%mcts c.p.gen]
+      ::
+      ++  open-mane
+        |=  a=mane:hoot
+        ?@(a [%rock %tas a] [[%rock %tas -.a] [%rock %tas +.a]])
+      ::
+      ++  open-mart
+        |=  [n=mane:hoot v=(list beer:hoot)]
+        [(open-mane n) %knit v]
+      --
+    ::
+        [%wtpt *]   [%wtcl [%wtts [%base %atom %$] p.gen] q.gen r.gen]
+        [%wtsg *]   [%wtcl [%wtts [%base %null] p.gen] q.gen r.gen]
+        [%wtts *]   [%fits ~(example ax p.gen) q.gen]
+        [%wtzp *]   [%wtcl p.gen [%rock %f 1] [%rock %f 0]]
+        [%zpgr *]
+      [%cncl [%limb %onan] [%zpmc [%kttr [%bcmc %limb %abel]] p.gen] ~]
+    ::
+        [%zpwt *]
+      ?:  ?:  ?=(@ p.gen)
+            (lte hoon-version p.gen)
+          &((lte hoon-version p.p.gen) (gte hoon-version q.p.gen))
+        q.gen
+      ~_(leaf+"hoon-version" !!)
+    ::
+        *           gen
+    ==
+  ::
+  ++  rake  ~>(%mean.'rake-hoon' (need reek))
+  ++  reek
+    ^-  (unit wing)
+    ?+  gen  ~
+      [~ *]        `[[%& p.gen] ~]
+      [%limb *]     `[p.gen ~]
+      [%wing *]     `p.gen
+      [%cnts * ~]  `p.gen
+      [%dbug *]     reek(gen q.gen)
+    ==
+  ++  rusk
+    ^-  term
+    =+  wig=rake
+    ?.  ?=([@ ~] wig)
+      ~>(%mean.'rusk-hoon' !!)
+    i.wig
+  --
+::
+::    5c: compiler backend and prettyprinter
++|  %compiler-backend-and-prettyprinter
+::
+++  ut
+  ~%    %ut
+      +>+
+    ==
+      %ar     ar
+      %fan    fan
+      %rib    rib
+      %vet    vet
+      %blow   blow
+      %burp   burp
+      %busk   busk
+      %buss   buss
+      %crop   crop
+      %duck   duck
+      %dune   dune
+      %dunk   dunk
+      %epla   epla
+      %emin   emin
+      %emul   emul
+      %feel   feel
+      %felt   felt
+      %fine   fine
+      %fire   fire
+      %fish   fish
+      %fond   fond
+      %fund   fund
+      %funk   funk
+      %fuse   fuse
+      %gain   gain
+      %lose   lose
+      %mile   mile
+      %mine   mine
+      %mint   mint
+      %moot   moot
+      %mull   mull
+      %nest   nest
+      %peel   peel
+      %play   play
+      %peek   peek
+      %repo   repo
+      %rest   rest
+      %sink   sink
+      %tack   tack
+      %toss   toss
+      %wrap   wrap
+    ==
+  =+  :*  fan=*(set [type hoon])
+          rib=*(set [type type hoon])
+          vet=`?`&
+      ==
+  =+  sut=`type`%noun
+  |%
+  ++  clip
+    |=  ref=type
+    ?>  ?|(!vet (nest(sut ref) & sut))
+    ref
+  ::
+  ::  +ar: texture engine
+  ::
+  ++  ar  !.
+    ~%    %ar
+        +>
+      ==
+        %fish  fish
+        %gain  gain
+        %lose  lose
+      ==
+    |_  [ref=type =skin]
+    ::
+    ::  +fish: make a $nock that tests a .ref at .axis for .skin
+    ::
+    ++  fish
+      |=  =axis
+      ^-  nock
+      ?@  skin  [%1 &]
+      ?-    -.skin
+      ::
+          %base
+        ?-  base.skin
+          %cell      $(skin [%cell [%base %noun] [%base %noun]])
+          %flag      ?:  (~(nest ut bool) | ref)
+                       [%1 &]
+                     %+  flan
+                       $(skin [%base %atom %$])
+                     %+  flor
+                       [%5 [%0 axis] [%1 &]]
+                     [%5 [%0 axis] [%1 |]]
+          %noun      [%1 &]
+          %null      $(skin [%leaf %n ~])
+          %void      [%1 |]
+          [%atom *]  ?:  (~(nest ut [%atom %$ ~]) | ref)
+                       [%1 &]
+                     ?:  (~(nest ut [%cell %noun %noun]) | ref)
+                       [%1 |]
+                     (flip [%3 %0 axis])
+        ==
+      ::
+          %cell
+        ?:  (~(nest ut [%atom %$ ~]) | ref)  [%1 |]
+        %+  flan
+          ?:  (~(nest ut [%cell %noun %noun]) | ref)
+            [%1 &]
+          [%3 %0 axis]
+        %+  flan
+          $(ref (peek(sut ref) %free 2), skin skin.skin)
+        $(ref (peek(sut ref) %free 3), skin ^skin.skin)
+      ::
+          %leaf
+        ?:  (~(nest ut [%atom %$ `atom.skin]) | ref)
+          [%1 &]
+        [%5 [%1 atom.skin] [%0 axis]]
+      ::
+          %dbug  $(skin skin.skin)
+          %help  $(skin skin.skin)
+          %name  $(skin skin.skin)
+          %over  $(skin skin.skin)
+          %spec  $(skin skin.skin)
+          %wash  [%1 1]
+      ==
+    ::
+    ::  +gain: make a $type by restricting .ref to .skin
+    ::
+    ++  gain
+      |-  ^-  type
+      ?@  skin  [%face skin ref]
+      ?-    -.skin
+      ::
+          %base
+        ?-    base.skin
+            %cell      $(skin [%cell [%base %noun] [%base %noun]])
+            %flag      (fork $(skin [%leaf %f &]) $(skin [%leaf %f |]) ~)
+            %null      $(skin [%leaf %n ~])
+            %void      %void
+            %noun      ?:((~(nest ut %void) | ref) %void ref)
+            [%atom *]
+          =|  gil=(set type)
+          |-  ^-  type
+          ?-    ref
+            %void      %void
+            %noun      [%atom p.base.skin ~]
+            [%atom *]  ?.  (fitz p.base.skin p.ref)
+                          ~>(%mean.'atom-mismatch' !!)
+                       :+  %atom
+                         (max p.base.skin p.ref)
+                       q.ref
+            [%cell *]  %void
+            [%core *]  %void
+            [%face *]  (face p.ref $(ref q.ref))
+            [%fork *]  (fork (turn ~(tap in p.ref) |=(=type ^$(ref type))))
+            [%hint *]  (hint p.ref $(ref q.ref))
+            [%hold *]  ?:  (~(has in gil) ref)  %void
+                       $(gil (~(put in gil) ref), ref repo(sut ref))
+          ==
+        ==
+      ::
+          %cell
+        =|  gil=(set type)
+        |-  ^-  type
+        ?-    ref
+            %void      %void
+            %noun      [%cell %noun %noun]
+            [%atom *]  %void
+            [%cell *]  =+  ^$(skin skin.skin, ref p.ref)
+                       ?:  =(%void -)  %void
+                       (cell - ^$(skin ^skin.skin, ref q.ref))
+            [%core *]  =+  ^$(skin skin.skin, ref p.ref)
+                       ?:  =(%void -)  %void
+                       ?.  =(%noun ^skin.skin)
+                         (cell - ^$(skin ^skin.skin, ref %noun))
+                       [%core - q.ref]
+            [%face *]  (face p.ref $(ref q.ref))
+            [%fork *]  (fork (turn ~(tap in p.ref) |=(=type ^$(ref type))))
+            [%hint *]  (hint p.ref $(ref q.ref))
+            [%hold *]  ?:  (~(has in gil) ref)  %void
+                       $(gil (~(put in gil) ref), ref repo(sut ref))
+        ==
+      ::
+          %leaf
+        =|  gil=(set type)
+        |-  ^-  type
+        ?-  ref
+          %void      %void
+          %noun      [%atom aura.skin `atom.skin]
+          [%atom *]  ?:  &(?=(^ q.ref) !=(atom.skin u.q.ref))
+                       %void
+                     ?.  (fitz aura.skin p.ref)
+                        ~>(%mean.'atom-mismatch' !!)
+                     :+  %atom
+                       (max aura.skin p.ref)
+                     `atom.skin
+          [%cell *]  %void
+          [%core *]  %void
+          [%face *]  (face p.ref $(ref q.ref))
+          [%fork *]  (fork (turn ~(tap in p.ref) |=(=type ^$(ref type))))
+          [%hint *]  (hint p.ref $(ref q.ref))
+          [%hold *]  ?:  (~(has in gil) ref)  %void
+                     $(gil (~(put in gil) ref), ref repo(sut ref))
+        ==
+      ::
+          %dbug  $(skin skin.skin)
+          %help  (hint [sut %help help.skin] $(skin skin.skin))
+          %name  (face term.skin $(skin skin.skin))
+          %over  $(skin skin.skin, sut (~(play ut sut) %wing wing.skin))
+          %spec  =/  yon  $(skin skin.skin)
+                 =/  hit  (~(play ut sut) ~(example ax spec.skin))
+                 ?>  (~(nest ut hit) & yon)
+                 hit
+          %wash  =-  $(ref (~(play ut ref) -))
+                 :-  %wing
+                 |-  ^-  wing
+                 ?:  =(0 depth.skin)  ~
+                 [[%| 0 ~] $(depth.skin (dec depth.skin))]
+      ==
+    ::
+    ::  +lose: make a $type by restricting .ref to exclude .skin
+    ::
+    ++  lose
+      |-  ^-  type
+      ?@  skin  [%face skin ref]
+      ?-    -.skin
+      ::
+          %base
+        ?-    base.skin
+            %cell      $(skin [%cell [%base %noun] [%base %noun]])
+            %flag      $(skin [%base %atom %f])
+            %null      $(skin [%leaf %n ~])
+            %void      ref
+            %noun      %void
+            [%atom *]
+          =|  gil=(set type)
+          |-  ^-  type
+          ?-    ref
+            %void      %void
+            %noun      [%cell %noun %noun]
+            [%atom *]  %void
+            [%cell *]  ref
+            [%core *]  ref
+            [%face *]  (face p.ref $(ref q.ref))
+            [%fork *]  (fork (turn ~(tap in p.ref) |=(=type ^$(ref type))))
+            [%hint *]  (hint p.ref $(ref q.ref))
+            [%hold *]  ?:  (~(has in gil) ref)  %void
+                       $(gil (~(put in gil) ref), ref repo(sut ref))
+          ==
+        ==
+      ::
+          %cell
+        =|  gil=(set type)
+        |-  ^-  type
+        ?-    ref
+            %void      %void
+            %noun      [%atom %$ ~]
+            [%atom *]  ref
+            [%cell *]  =+  ^$(skin skin.skin, ref p.ref)
+                       ?:  =(%void -)  %void
+                       (cell - ^$(skin ^skin.skin, ref q.ref))
+            [%core *]  =+  ^$(skin skin.skin, ref p.ref)
+                       ?:  =(%void -)  %void
+                       ?.  =(%noun ^skin.skin)
+                         (cell - ^$(skin ^skin.skin, ref %noun))
+                       [%core - q.ref]
+            [%face *]  (face p.ref $(ref q.ref))
+            [%fork *]  (fork (turn ~(tap in p.ref) |=(=type ^$(ref type))))
+            [%hint *]  (hint p.ref $(ref q.ref))
+            [%hold *]  ?:  (~(has in gil) ref)  %void
+                       $(gil (~(put in gil) ref), ref repo(sut ref))
+        ==
+      ::
+          %leaf
+        =|  gil=(set type)
+        |-  ^-  type
+        ?-  ref
+          %void      %void
+          %noun      %noun
+          [%atom *]  ?:  =(q.ref `atom.skin)
+                       %void
+                     ref
+          [%cell *]  ref
+          [%core *]  ref
+          [%face *]  (face p.ref $(ref q.ref))
+          [%fork *]  (fork (turn ~(tap in p.ref) |=(=type ^$(ref type))))
+          [%hint *]  (hint p.ref $(ref q.ref))
+          [%hold *]  ?:  (~(has in gil) ref)  %void
+                     $(gil (~(put in gil) ref), ref repo(sut ref))
+        ==
+      ::
+          %dbug  $(skin skin.skin)
+          %help  $(skin skin.skin)
+          %name  $(skin skin.skin)
+          %over  $(skin skin.skin)
+          %spec  $(skin skin.skin)
+          %wash  ref
+      ==
+    --
+  ::
+  ++  blow
+    |=  [gol=type gen=hoon]
+    ^-  [type nock]
+    =+  pro=(mint gol gen)
+    =+  jon=(apex:musk bran q.pro)
+    ?:  |(?=(~ jon) ?=(%wait -.u.jon))
+      [p.pro q.pro]
+    [p.pro %1 p.u.jon]
+  ::
+  ++  bran
+    ~+
+    =+  gil=*(set type)
+    |-  ~+  ^-  seminoun:musk
+    ?-    sut
+      %noun      [full/[~ ~ ~] ~]
+      %void      [full/[~ ~ ~] ~]
+      [%atom *]  ?~(q.sut [full/[~ ~ ~] ~] [full/~ u.q.sut])
+      [%cell *]  (combine:musk $(sut p.sut) $(sut q.sut))
+      [%core *]  %+  combine:musk
+                   p.r.q.sut
+                 $(sut p.sut)
+      [%face *]  $(sut repo)
+      [%fork *]  [full/[~ ~ ~] ~]
+      [%hint *]  $(sut repo)
+      [%hold *]  ?:  (~(has in gil) sut)
+                   [full/[~ ~ ~] ~]
+                 $(sut repo, gil (~(put in gil) sut))
+    ==
+  ::
+  ++  burp
+    ::    expel undigested seminouns
+    ::
+    ^-  type
+    ~+
+    =-  ?.(=(sut -) - sut)
+    ?+  sut      sut
+      [%cell *]  [%cell burp(sut p.sut) burp(sut q.sut)]
+      [%core *]  :+  %core
+                   burp(sut p.sut)
+                 :*  p.q.sut
+                     burp(sut q.q.sut)
+                     :_  q.r.q.sut
+                     ?:  ?=([[%full ~] *] p.r.q.sut)
+                       p.r.q.sut
+                     [[%full ~ ~ ~] ~]
+                  ==
+      [%face *]  [%face p.sut burp(sut q.sut)]
+      [%fork *]  [%fork (~(run in p.sut) |=(type burp(sut +<)))]
+      [%hint *]  (hint [burp(sut p.p.sut) q.p.sut] burp(sut q.sut))
+      [%hold *]  [%hold burp(sut p.sut) q.sut]
+    ==
+  ::
+  ++  busk
+    ~/  %busk
+    |=  gen=hoon
+    ^-  type
+    [%face [~ [gen ~]] sut]
+  ::
+  ++  buss
+    ~/  %buss
+    |=  [cog=term gen=hoon]
+    ^-  type
+    [%face [[[cog ~ gen] ~ ~] ~] sut]
+  ::
+  ++  crop
+    ~/  %crop
+    |=  ref=type
+    =+  bix=*(set [type type])
+    =<  dext
+    |%
+    ++  dext
+      ^-  type
+      ~_  leaf+"crop"
+      ::  ~_  (dunk 'dext: sut')
+      ::  ~_  (dunk(sut ref) 'dext: ref')
+      ?:  |(=(sut ref) =(%noun ref))
+        %void
+      ?:  =(%void ref)
+        sut
+      ?-    sut
+          [%atom *]
+        ?+  ref      sint
+          [%atom *]  ?^  q.sut
+                       ?^(q.ref ?:(=(q.ref q.sut) %void sut) %void)
+                     ?^(q.ref sut %void)
+          [%cell *]  sut
+        ==
+      ::
+          [%cell *]
+        ?+  ref      sint
+          [%atom *]  sut
+          [%cell *]  ?.  (nest(sut p.ref) | p.sut)  sut
+                     (cell p.sut dext(sut q.sut, ref q.ref))
+        ==
+      ::
+          [%core *]  ?:(?=(?([%atom *] [%cell *]) ref) sut sint)
+          [%face *]  (face p.sut dext(sut q.sut))
+          [%fork *]  (fork (turn ~(tap in p.sut) |=(type dext(sut +<))))
+          [%hint *]  (hint p.sut dext(sut q.sut))
+          [%hold *]  ?<  (~(has in bix) [sut ref])
+                     dext(sut repo, bix (~(put in bix) [sut ref]))
+          %noun      dext(sut repo)
+          %void      %void
+      ==
+    ::
+    ++  sint
+      ^-  type
+      ?+    ref    !!
+        [%core *]  sut
+        [%face *]  dext(ref repo(sut ref))
+        [%fork *]  =+  yed=~(tap in p.ref)
+                   |-  ^-  type
+                   ?~  yed  sut
+                   $(yed t.yed, sut dext(ref i.yed))
+        [%hint *]  dext(ref repo(sut ref))
+        [%hold *]  dext(ref repo(sut ref))
+      ==
+    --
+  ::
+  ++  cool
+    |=  [pol=? hyp=wing ref=type]
+    ^-  type
+    =+  fid=(find %both hyp)
+    ?-  -.fid
+      %|  sut
+      %&  =<  q
+          %+  take  p.p.fid
+          |=(a=type ?:(pol (fuse(sut a) ref) (crop(sut a) ref)))
+    ==
+  ::
+  ++  duck  ^-(tank ~(duck us sut))
+  ++  dune  |.(duck)
+  ++  dunk
+    |=  paz=term  ^-  tank
+    :+  %palm
+      [['.' ~] ['-' ~] ~ ~]
+    [[%leaf (mesc (trip paz))] duck ~]
+  ::
+  ++  elbo
+    |=  [lop=palo rig=(list (pair wing hoon))]
+    ^-  type
+    ?:  ?=(%& -.q.lop)
+      |-  ^-  type
+      ?~  rig
+        p.q.lop
+      =+  zil=(play q.i.rig)
+      =+  dar=(tack(sut p.q.lop) p.i.rig zil)
+      %=  $
+        rig      t.rig
+        p.q.lop  q.dar
+      ==
+    =+  hag=~(tap in q.q.lop)
+    %-  fire
+    |-  ^+  hag
+    ?~  rig
+      hag
+    =+  zil=(play q.i.rig)
+    =+  dix=(toss p.i.rig zil hag)
+    %=  $
+      rig  t.rig
+      hag  q.dix
+    ==
+  ::
+  ++  ergo
+    |=  [lop=palo rig=(list (pair wing hoon))]
+    ^-  (pair type nock)
+    =+  axe=(tend p.lop)
+    =|  hej=(list (pair axis nock))
+    ?:  ?=(%& -.q.lop)
+      =-  [p.- (hike axe q.-)]
+      |-  ^-  (pair type (list (pair axis nock)))
+      ?~  rig
+        [p.q.lop hej]
+      =+  zil=(mint %noun q.i.rig)
+      =+  dar=(tack(sut p.q.lop) p.i.rig p.zil)
+      %=  $
+        rig      t.rig
+        p.q.lop  q.dar
+        hej      [[p.dar q.zil] hej]
+      ==
+    =+  hag=~(tap in q.q.lop)
+    =-  [(fire p.-) [%9 p.q.lop (hike axe q.-)]]
+    |-  ^-  (pair (list (pair type foot)) (list (pair axis nock)))
+    ?~  rig
+      [hag hej]
+    =+  zil=(mint %noun q.i.rig)
+    =+  dix=(toss p.i.rig p.zil hag)
+    %=  $
+      rig  t.rig
+      hag  q.dix
+      hej  [[p.dix q.zil] hej]
+    ==
+  ::
+  ++  endo
+    |=  [lop=(pair palo palo) dox=type rig=(list (pair wing hoon))]
+    ^-  (pair type type)
+    ?:  ?=(%& -.q.p.lop)
+      ?>  ?=(%& -.q.q.lop)
+      |-  ^-  (pair type type)
+      ?~  rig
+        [p.q.p.lop p.q.q.lop]
+      =+  zil=(mull %noun dox q.i.rig)
+      =+  ^=  dar
+          :-  p=(tack(sut p.q.p.lop) p.i.rig p.zil)
+              q=(tack(sut p.q.q.lop) p.i.rig q.zil)
+      ?>  =(p.p.dar p.q.dar)
+      %=  $
+        rig        t.rig
+        p.q.p.lop  q.p.dar
+        p.q.q.lop  q.q.dar
+      ==
+    ?>  ?=(%| -.q.q.lop)
+    ?>  =(p.q.p.lop p.q.q.lop)
+    =+  hag=[p=~(tap in q.q.p.lop) q=~(tap in q.q.q.lop)]
+    =-  [(fire p.-) (fire(vet |) q.-)]
+    |-  ^-  (pair (list (pair type foot)) (list (pair type foot)))
+    ?~  rig
+      hag
+    =+  zil=(mull %noun dox q.i.rig)
+    =+  ^=  dix
+        :-  p=(toss p.i.rig p.zil p.hag)
+            q=(toss p.i.rig q.zil q.hag)
+    ?>  =(p.p.dix p.q.dix)
+    %=  $
+      rig  t.rig
+      hag  [q.p.dix q.q.dix]
+    ==
+  ::
+  ++  et
+    |_  [hyp=wing rig=(list (pair wing hoon))]
+    ::
+    ++  play
+      ^-  type
+      =+  lug=(find %read hyp)
+      ?:  ?=(%| -.lug)  ~>(%mean.'hoon' ?>(?=(~ rig) p.p.lug))
+      (elbo p.lug rig)
+    ::
+    ++  mint
+      |=  gol=type
+      ^-  (pair type nock)
+      =+  lug=(find %read hyp)
+      ?:  ?=(%| -.lug)  ~>(%mean.'hoon' ?>(?=(~ rig) p.lug))
+      =-  ?>(?|(!vet (nest(sut gol) & p.-)) -)
+      (ergo p.lug rig)
+    ::
+    ++  mull
+      |=  [gol=type dox=type]
+      ^-  [type type]
+      =+  lug=[p=(find %read hyp) q=(find(sut dox) %read hyp)]
+      ?:  ?=(%| -.p.lug)
+        ?>   &(?=(%| -.q.lug) ?=(~ rig))
+        [p.p.p.lug p.p.q.lug]
+      ?>  ?=(%& -.q.lug)
+      =-  ?>(?|(!vet (nest(sut gol) & p.-)) -)
+      (endo [p.p.lug p.q.lug] dox rig)
+    --
+  ::
+  ++  epla
+    ~/  %epla
+    |=  [hyp=wing rig=(list (pair wing hoon))]
+    ^-  type
+    ~(play et hyp rig)
+  ::
+  ++  emin
+    ~/  %emin
+    |=  [gol=type hyp=wing rig=(list (pair wing hoon))]
+    ^-  (pair type nock)
+    (~(mint et hyp rig) gol)
+  ::
+  ++  emul
+    ~/  %emul
+    |=  [gol=type dox=type hyp=wing rig=(list (pair wing hoon))]
+    ^-  (pair type type)
+    (~(mull et hyp rig) gol dox)
+  ::
+  ++  felt  !!
+  ::                                                    ::
+  ++  feel                                              ::  detect existence
+    |=  rot=(list wing)
+    ^-  ?
+    =.  rot  (flop rot)
+    |-  ^-  ?
+    ?~  rot  &
+    =/  yep  (fond %free i.rot)
+    ?~  yep  |
+    ?-    -.yep
+      %&  %=  $
+            rot  t.rot
+            sut  p:(fine %& p.yep)
+          ==
+      %|  ?-  -.p.yep
+            %&  |
+            %|  %=  $
+                  rot  t.rot
+                  sut  p:(fine %| p.p.yep)
+                ==
+    ==    ==
+  ::
+  ++  fond
+    ~/  %fond
+    |=  [way=vial hyp=wing]
+    =>  |%
+        ++  pony                                        ::  raw match
+                  $@  ~                                 ::  void
+                  %+  each                              ::  natural/abnormal
+                    palo                                ::  arm or leg
+                  %+  each                              ::  abnormal
+                    @ud                                 ::  unmatched
+                  (pair type nock)                      ::  synthetic
+        --
+    ^-  pony
+    ?~  hyp
+      [%& ~ %& sut]
+    =+  mor=$(hyp t.hyp)
+    ?-    -.mor
+        %|
+      ?-    -.p.mor
+          %&  mor
+          %|
+        =+  fex=(mint(sut p.p.p.mor) %noun [%wing i.hyp ~])
+        [%| %| p.fex (comb q.p.p.mor q.fex)]
+      ==
+    ::
+        %&
+      =.  sut
+        =*  lap  q.p.mor
+        ?-  -.lap
+          %&  p.lap
+          %|  (fork (turn ~(tap in q.lap) head))
+        ==
+      =>  :_  +
+          :*  axe=`axis`1
+              lon=p.p.mor
+              heg=?^(i.hyp i.hyp [%| p=0 q=(some i.hyp)])
+          ==
+      ?:  ?=(%& -.heg)
+        [%& [`p.heg lon] %& (peek way p.heg)]
+      =|  gil=(set type)
+      =<  $
+      |%  ++  here  ?:  =(0 p.heg)
+                      [%& [~ `axe lon] %& sut]
+                    [%| %& (dec p.heg)]
+          ++  lose  [%| %& p.heg]
+          ++  stop  ?~(q.heg here lose)
+          ++  twin  |=  [hax=pony yor=pony]
+                    ^-  pony
+                    ~_  leaf+"find-fork"
+                    ?:  =(hax yor)  hax
+                    ?~  hax  yor
+                    ?~  yor  hax
+                    ?:  ?=(%| -.hax)
+                      ?>  ?&  ?=(%| -.yor)
+                              ?=(%| -.p.hax)
+                              ?=(%| -.p.yor)
+                              =(q.p.p.hax q.p.p.yor)
+                          ==
+                      :+  %|
+                        %|
+                      [(fork p.p.p.hax p.p.p.yor ~) q.p.p.hax]
+                    ?>  ?=(%& -.yor)
+                    ?>  =(p.p.hax p.p.yor)
+                    ?:  &(?=(%& -.q.p.hax) ?=(%& -.q.p.yor))
+                      :+  %&  p.p.hax
+                      [%& (fork p.q.p.hax p.q.p.yor ~)]
+                    ?>  &(?=(%| -.q.p.hax) ?=(%| -.q.p.yor))
+                    ?>  =(p.q.p.hax p.q.p.yor)
+                    =+  wal=(~(uni in q.q.p.hax) q.q.p.yor)
+                    :+  %&  p.p.hax
+                    [%| p.q.p.hax wal]
+          ++  $
+            ^-  pony
+            ?-    sut
+                %void       ~
+                %noun       stop
+                [%atom *]   stop
+                [%cell *]
+              ?~  q.heg  here
+              =+  taf=$(axe (peg axe 2), sut p.sut)
+              ?~  taf  ~
+              ?:  |(?=(%& -.taf) ?=(%| -.p.taf))
+                taf
+              $(axe (peg axe 3), p.heg p.p.taf, sut q.sut)
+            ::
+                [%core *]
+              ?~  q.heg  here
+              =^  zem  p.heg
+                  =+  zem=(loot u.q.heg q.r.q.sut)
+                  ?~  zem  [~ p.heg]
+                  ?:(=(0 p.heg) [zem 0] [~ (dec p.heg)])
+              ?^  zem
+                :+  %&
+                  [`axe lon]
+                =/  zut  ^-  foot
+                         ?-  q.p.q.sut
+                           %wet  [%wet q.u.zem]
+                           %dry  [%dry q.u.zem]
+                         ==
+                [%| (peg 2 p.u.zem) [[sut zut] ~ ~]]
+              =+  pec=(peel way r.p.q.sut)
+              ?.  sam.pec  lose
+              ?:  con.pec  $(sut p.sut, axe (peg axe 3))
+              $(sut (peek(sut p.sut) way 2), axe (peg axe 6))
+            ::
+                [%hint *]
+              $(sut repo)
+            ::
+                [%face *]
+              ?:  ?=(~ q.heg)  here(sut q.sut)
+              =*  zot  p.sut
+              ?@  zot
+                ?:(=(u.q.heg zot) here(sut q.sut) lose)
+              =<  main
+              |%
+              ++  main
+                ^-  pony
+                =+  tyr=(~(get by p.zot) u.q.heg)
+                ?~  tyr
+                  next
+                ?~  u.tyr
+                  $(sut q.sut, lon [~ lon], p.heg +(p.heg))
+                ?.  =(0 p.heg)
+                  next(p.heg (dec p.heg))
+                =+  tor=(fund way u.u.tyr)
+                ?-  -.tor
+                  %&  [%& (weld p.p.tor `vein`[~ `axe lon]) q.p.tor]
+                  %|  [%| %| p.p.tor (comb [%0 axe] q.p.tor)]
+                ==
+              ++  next
+                |-  ^-  pony
+                ?~  q.zot
+                  ^$(sut q.sut, lon [~ lon])
+                =+  tiv=(mint(sut q.sut) %noun i.q.zot)
+                =+  fid=^$(sut p.tiv, lon ~, axe 1, gil ~)
+                ?~  fid  ~
+                ?:  ?=([%| %& *] fid)
+                  $(q.zot t.q.zot, p.heg p.p.fid)
+                =/  vat=(pair type nock)
+                    ?-    -.fid
+                      %&  (fine %& p.fid)
+                      %|  (fine %| p.p.fid)
+                    ==
+                [%| %| p.vat (comb (comb [%0 axe] q.tiv) q.vat)]
+              --
+            ::
+                [%fork *]
+              =+  wiz=(turn ~(tap in p.sut) |=(a=type ^$(sut a)))
+              ?~  wiz  ~
+              |-  ^-  pony
+              ?~  t.wiz  i.wiz
+              (twin i.wiz $(wiz t.wiz))
+            ::
+                [%hold *]
+              ?:  (~(has in gil) sut)
+                ~
+              $(gil (~(put in gil) sut), sut repo)
+            ==
+      --
+    ==
+  ::
+  ++  find
+    ~/  %find
+    |=  [way=vial hyp=wing]
+    ^-  port
+    ~_  (show [%c %find] %l hyp)
+    =-  ?@  -  !!
+        ?-    -<
+          %&  [%& p.-]
+          %|  ?-  -.p.-
+                %|  [%| p.p.-]
+                %&  !!
+        ==    ==
+    (fond way hyp)
+  ::
+  ++  fund
+    ~/  %fund
+    |=  [way=vial gen=hoon]
+    ^-  port
+    =+  hup=~(reek ap gen)
+    ?~  hup
+      [%| (mint %noun gen)]
+    (find way u.hup)
+  ::
+  ++  fine
+    ~/  %fine
+    |=  tor=port
+    ^-  (pair type nock)
+    ?-  -.tor
+      %|  p.tor
+      %&  =+  axe=(tend p.p.tor)
+          ?-  -.q.p.tor
+            %&  [`type`p.q.p.tor %0 axe]
+            %|  [(fire ~(tap in q.q.p.tor)) [%9 p.q.p.tor %0 axe]]
+    ==    ==
+  ::
+  ++  fire
+    |=  hag=(list [p=type q=foot])
+    ^-  type
+    ?:  ?=([[* [%wet ~ %1]] ~] hag)
+      p.i.hag
+    %-  fork
+    %+  turn
+      hag.$
+    |=  [p=type q=foot]
+    ?.  ?=([%core *] p)
+      ~_  (dunk %fire-type)
+      ~_  leaf+"expected-fork-to-be-core"
+      ~_  (dunk(sut p) %fork-type)
+      ~>(%mean.'fire-core' !!)
+    :-  %hold
+    =+  dox=[%core q.q.p q.p(r.p %gold)]
+    ?:  ?=(%dry -.q)
+      ::  ~_  (dunk(sut [%cell q.q.p p.p]) %fire-dry)
+      ?>  ?|(!vet (nest(sut q.q.p) & p.p))
+      [dox p.q]
+    ?>  ?=(%wet -.q)
+    ::  ~_  (dunk(sut [%cell q.q.p p.p]) %fire-wet)
+    =.  p.p  (redo(sut p.p) q.q.p)
+    ?>  ?|  !vet
+            (~(has in rib) [sut dox p.q])
+            !=(** (mull(sut p, rib (~(put in rib) sut dox p.q)) %noun dox p.q))
+        ==
+    [p p.q]
+  ::
+  ++  fish
+    ~/  %fish
+    |=  axe=axis
+    =+  vot=*(set type)
+    |-  ^-  nock
+    ?-  sut
+        %void       [%1 1]
+        %noun       [%1 0]
+        [%atom *]   ?~  q.sut
+                      (flip [%3 %0 axe])
+                    [%5 [%1 u.q.sut] [%0 axe]]
+        [%cell *]
+      %+  flan
+        [%3 %0 axe]
+      (flan $(sut p.sut, axe (peg axe 2)) $(sut q.sut, axe (peg axe 3)))
+    ::
+        [%core *]   ~>(%mean.'fish-core' !!)
+        [%face *]   $(sut q.sut)
+        [%fork *]   =+  yed=~(tap in p.sut)
+                    |-  ^-  nock
+                    ?~(yed [%1 1] (flor ^$(sut i.yed) $(yed t.yed)))
+        [%hint *]   $(sut q.sut)
+        [%hold *]
+      ?:  (~(has in vot) sut)
+        ~>(%mean.'fish-loop' !!)
+      =>  %=(. vot (~(put in vot) sut))
+      $(sut repo)
+    ==
+  ::
+  ++  fuse
+    ~/  %fuse
+    |=  ref=type
+    =+  bix=*(set [type type])
+    |-  ^-  type
+    ?:  ?|(=(sut ref) =(%noun ref))
+      sut
+    ?-    sut
+        [%atom *]
+      ?-    ref
+          [%atom *]   =+  foc=?:((fitz p.ref p.sut) p.sut p.ref)
+                      ?^  q.sut
+                        ?^  q.ref
+                          ?:  =(q.sut q.ref)
+                            [%atom foc q.sut]
+                          %void
+                        [%atom foc q.sut]
+                      [%atom foc q.ref]
+          [%cell *]   %void
+          *           $(sut ref, ref sut)
+      ==
+        [%cell *]
+      ?-  ref
+        [%cell *]   (cell $(sut p.sut, ref p.ref) $(sut q.sut, ref q.ref))
+        *           $(sut ref, ref sut)
+      ==
+    ::
+        [%core *]  $(sut repo)
+        [%face *]  (face p.sut $(sut q.sut))
+        [%fork *]  (fork (turn ~(tap in p.sut) |=(type ^$(sut +<))))
+        [%hint *]  (hint p.sut $(sut q.sut))
+        [%hold *]
+      ?:  (~(has in bix) [sut ref])
+        ~>(%mean.'fuse-loop' !!)
+      $(sut repo, bix (~(put in bix) [sut ref]))
+    ::
+        %noun       ref
+        %void       %void
+    ==
+  ::
+  ++  gain
+    ~/  %gain
+    |=  gen=hoon  ^-  type
+    (chip & gen)
+  ::
+  ++  hemp
+    ::    generate formula from foot
+    ::
+    |=  [hud=poly gol=type gen=hoon]
+    ^-  nock
+    ~+
+    =+  %hemp-141
+    ?-  hud
+      %dry  q:(mint gol gen)
+      %wet  q:(mint(vet |) gol gen)
+    ==
+  ::
+  ++  laze
+    ::    produce lazy core generator for static execution
+    ::
+    |=  [nym=(unit term) hud=poly dom=(map term tome)]
+    ~+
+    ^-  seminoun
+    =+  %hemp-141
+    ::  tal: map from battery axis to foot
+    ::
+    =;  tal=(map @ud hoon)
+      ::  produce lazy battery
+      ::
+      :_  ~
+      :+  %lazy  1
+      |=  axe=@ud
+      ^-  (unit noun)
+      %+  bind  (~(get by tal) axe)
+      |=  gen=hoon
+      %.  [hud %noun gen]
+      hemp(sut (core sut [nym hud %gold] sut [[%lazy 1 ..^$] ~] dom))
+    ::
+    %-  ~(gas by *(map @ud hoon))
+    =|  yeb=(list (pair @ud hoon))
+    =+  axe=1
+    |^  ?-  dom
+          ~        yeb
+          [* ~ ~]  (chapter q.q.n.dom)
+          [* * ~]  %=  $
+                     dom  l.dom
+                     axe  (peg axe 3)
+                     yeb  (chapter(axe (peg axe 2)) q.q.n.dom)
+                   ==
+          [* ~ *]  %=  $
+                     dom  r.dom
+                     axe  (peg axe 3)
+                     yeb  (chapter(axe (peg axe 2)) q.q.n.dom)
+                   ==
+          [* * *]  %=  $
+                     dom  r.dom
+                     axe  (peg axe 7)
+                     yeb  %=  $
+                            dom  l.dom
+                            axe  (peg axe 6)
+                            yeb  (chapter(axe (peg axe 2)) q.q.n.dom)
+        ==         ==     ==
+    ++  chapter
+      |=  dab=(map term hoon)
+      ^+  yeb
+      ?-  dab
+        ~        yeb
+        [* ~ ~]  [[axe q.n.dab] yeb]
+        [* * ~]  %=  $
+                   dab  l.dab
+                   axe  (peg axe 3)
+                   yeb  [[(peg axe 2) q.n.dab] yeb]
+                 ==
+        [* ~ *]  %=  $
+                   dab  r.dab
+                   axe  (peg axe 3)
+                   yeb  [[(peg axe 2) q.n.dab] yeb]
+                 ==
+        [* * *]  %=  $
+                   dab  r.dab
+                   axe  (peg axe 7)
+                   yeb  %=  $
+                          dab  l.dab
+                          axe  (peg axe 6)
+                          yeb  [[(peg axe 2) q.n.dab] yeb]
+      ==         ==     ==
+    --
+  ::
+  ++  lose
+    ~/  %lose
+    |=  gen=hoon  ^-  type
+    (chip | gen)
+  ::
+  ++  chip
+    ~/  %chip
+    |=  [how=? gen=hoon]  ^-  type
+    ?:  ?=([%wtts *] gen)
+      (cool how q.gen (play ~(example ax p.gen)))
+    ?:  ?=([%wthx *] gen)
+      =+  (play %wing q.gen)
+      ~>  %slog.[0 [%leaf "chipping"]]
+      ?:  how
+        =-  ~>  %slog.[0 (dunk(sut +<) 'chip: gain: ref')]
+            ~>  %slog.[0 (dunk(sut -) 'chip: gain: gain')]
+            -
+        ~(gain ar - p.gen)
+      ~(lose ar - p.gen)
+    ?:  ?&(how ?=([%wtpm *] gen))
+      |-(?~(p.gen sut $(p.gen t.p.gen, sut ^$(gen i.p.gen))))
+    ?:  ?&(!how ?=([%wtbr *] gen))
+      |-(?~(p.gen sut $(p.gen t.p.gen, sut ^$(gen i.p.gen))))
+    =+  neg=~(open ap gen)
+    ?:(=(neg gen) sut $(gen neg))
+  ::
+  ++  bake
+    |=  [dox=type hud=poly dab=(map term hoon)]
+    ^-  *
+    ?:  ?=(~ dab)
+      ~
+    =+  ^=  dov
+        ::  this seems wrong but it's actually right
+        ::
+        ?-  hud
+          %dry  (mull %noun dox q.n.dab)
+          %wet  ~
+        ==
+    ?-  dab
+      [* ~ ~]  dov
+      [* ~ *]  [dov $(dab r.dab)]
+      [* * ~]  [dov $(dab l.dab)]
+      [* * *]  [dov $(dab l.dab) $(dab r.dab)]
+    ==
+  ::
+  ++  balk
+    |=  [dox=type hud=poly dom=(map term tome)]
+    ^-  *
+    ?:  ?=(~ dom)
+      ~
+    =+  dov=(bake dox hud q.q.n.dom)
+    ?-    dom
+      [* ~ ~]   dov
+      [* ~ *]   [dov $(dom r.dom)]
+      [* * ~]   [dov $(dom l.dom)]
+      [* * *]   [dov $(dom l.dom) $(dom r.dom)]
+    ==
+  ::
+  ++  mile
+    ::    mull all chapters and feet in a core
+    ::
+    |=  [dox=type mel=vair nym=(unit term) hud=poly dom=(map term tome)]
+    ^-  (pair type type)
+    =+  yet=(core sut [nym hud %gold] sut (laze nym hud dom) dom)
+    =+  hum=(core dox [nym hud %gold] dox (laze nym hud dom) dom)
+    =+  (balk(sut yet) hum hud dom)
+    [yet hum]
+  ::
+  ++  mine
+    ::    mint all chapters and feet in a core
+    ::
+    |=  [gol=type mel=vair nym=(unit term) hud=poly dom=(map term tome)]
+    ^-  (pair type nock)
+    |^
+    =/  log  (chapters-check (core-check gol))
+    =/  dog  (get-tomes log)
+    =-  :_  [%1 dez]
+        (core sut [nym hud mel] sut [[%full ~] dez] dom)
+    ^=  dez
+    =.  sut  (core sut [nym hud %gold] sut (laze nym hud dom) dom)
+    |-  ^-  ?(~ ^)
+    ?:  ?=(~ dom)
+      ~
+    =/  dov=?(~ ^)
+      =/  dab=(map term hoon)  q.q.n.dom
+      =/  dag  (arms-check dab (get-arms dog p.n.dom))
+      |-  ^-  ?(~ ^)
+      ?:  ?=(~ dab)
+        ~
+      =/  gog  (get-arm-type log dag p.n.dab)
+      =+  vad=(hemp hud gog q.n.dab)
+      ?-    dab
+        [* ~ ~]   vad
+        [* ~ *]   [vad $(dab r.dab)]
+        [* * ~]   [vad $(dab l.dab)]
+        [* * *]   [vad $(dab l.dab) $(dab r.dab)]
+      ==
+    ?-    dom
+      [* ~ ~]   dov
+      [* ~ *]   [dov $(dom r.dom)]
+      [* * ~]   [dov $(dom l.dom)]
+      [* * *]   [dov $(dom l.dom) $(dom r.dom)]
+    ==
+    ::
+    ::  all the below arms are used for gol checking and should have no
+    ::  effect other than giving more specific errors
+    ::
+    ::  +gol-type: all the possible types we could be expecting.
+    ::
+    +$  gol-type
+      $~  %noun
+      $@  %noun
+      $%  [%cell p=type q=type]
+          [%core p=type q=coil]
+          [%fork p=(set gol-type)]
+      ==
+    ::  +core-check: check that we're looking for a core
+    ::
+    ++  core-check
+      |=  log=type
+      |-  ^-  gol-type
+      ?+    log  $(log repo(sut log))
+          %noun      (nice log &)
+          %void      (nice %noun |)
+          [%atom *]  (nice %noun |)
+          [%cell *]  (nice log (nest(sut p.log) & %noun))
+          [%core *]  (nice log(r.p.q %gold) &)
+          [%fork *]
+        =/  tys  ~(tap in p.log)
+        :-  %fork
+        |-  ^-  (set gol-type)
+        ?~  tys
+          ~
+        =/  a  ^$(log i.tys)
+        =/  b  $(tys t.tys)
+        (~(put in b) a)
+      ==
+    ::  +chapters-check: check we have the expected number of chapters
+    ::
+    ++  chapters-check
+      |=  log=gol-type
+      |-  ^-  gol-type
+      ?-    log
+          %noun      (nice log &)
+          [%cell *]  (nice log &)
+          [%core *]  ~_  leaf+"core-number-of-chapters"
+                     (nice log =(~(wyt by dom) ~(wyt by q.r.q.log)))
+          [%fork *]
+        =/  tys  ~(tap in p.log)
+        |-  ^-  gol-type
+        ?~  tys
+          log
+        =/  a  ^$(log i.tys)
+        =/  b  $(tys t.tys)
+        log
+      ==
+    ::  +get-tomes: get map of tomes if exists
+    ::
+    ++  get-tomes
+      |=  log=gol-type
+      ^-  (unit (map term tome))
+      ?-    log
+          %noun      ~
+          [%cell *]  ~
+          [%fork *]  ~  ::  maybe could be more aggressive
+          [%core *]  `q.r.q.log
+      ==
+    ::  +get-arms: get arms in tome
+    ::
+    ++  get-arms
+      |=  [dog=(unit (map term tome)) nam=term]
+      ^-  (unit (map term hoon))
+      %+  bind  dog
+      |=  a=(map term tome)
+      ~_  leaf+"unexpcted-chapter.{(trip nam)}"
+      q:(~(got by a) nam)
+    ::  +arms-check: check we have the expected number of arms
+    ::
+    ++  arms-check
+      |=  [dab=(map term hoon) dag=(unit (map term hoon))]
+      ?~  dag
+        dag
+      =/  a
+        =/  exp  ~(wyt by u.dag)
+        =/  hav  ~(wyt by dab)
+        ~_  =/  expt  (scow %ud exp)
+            =/  havt  (scow %ud hav)
+            leaf+"core-number-of-arms.exp={expt}.hav={havt}"
+        ~_  =/  missing  ~(tap in (~(dif in ~(key by u.dag)) ~(key by dab)))
+            leaf+"missing.{<missing>}"
+        ~_  =/  extra  ~(tap in (~(dif in ~(key by dab)) ~(key by u.dag)))
+            leaf+"extra.{<extra>}"
+        ~_  =/  have  ~(tap in ~(key by dab))
+            leaf+"have.{<have>}"
+        (nice dag =(exp hav))
+      a
+    ::  +get-arm-type: get expected type of this arm
+    ::
+    ++  get-arm-type
+      |=  [log=gol-type dag=(unit (map term hoon)) nam=term]
+      ^-  type
+      %-  fall  :_  %noun
+      %+  bind  dag
+      |=  a=(map term hoon)
+      =/  gen=hoon
+        ~_  leaf+"unexpected-arm.{(trip nam)}"
+        (~(got by a) nam)
+      (play(sut log) gen)
+    ::
+    ++  nice
+      |*  [typ=* gud=?]
+      ?:  gud
+        typ
+      ~_  leaf+"core-nice"
+      !!
+    --
+  ::
+  ++  mint
+    ~/  %mint
+    |=  [gol=type gen=hoon]
+    ^-  [p=type q=nock]
+    ::~&  %pure-mint
+    |^  ^-  [p=type q=nock]
+    ?:  ?&(=(%void sut) !?=([%dbug *] gen))
+      ?.  |(!vet ?=([%lost *] gen) ?=([%zpzp *] gen))
+        ~>(%mean.'mint-vain' !!)
+      [%void %0 0]
+    ?-    gen
+    ::
+        [^ *]
+      =+  hed=$(gen p.gen, gol %noun)
+      =+  tal=$(gen q.gen, gol %noun)
+      [(nice (cell p.hed p.tal)) (cons q.hed q.tal)]
+    ::
+        [%brcn *]  (grow %gold p.gen %dry [%$ 1] q.gen)
+        [%brpt *]  (grow %gold p.gen %wet [%$ 1] q.gen)
+    ::
+        [%cnts *]  (~(mint et p.gen q.gen) gol)
+    ::
+        [%dtkt *]
+      =+  nef=$(gen [%kttr p.gen])
+      [p.nef [%12 [%1 hoon-version p.nef] q:$(gen q.gen, gol %noun)]]
+    ::
+        [%dtls *]  [(nice [%atom %$ ~]) [%4 q:$(gen p.gen, gol [%atom %$ ~])]]
+        [%sand *]  [(nice (play gen)) [%1 q.gen]]
+        [%rock *]  [(nice (play gen)) [%1 q.gen]]
+    ::
+        [%dttr *]
+      [(nice %noun) [%2 q:$(gen p.gen, gol %noun) q:$(gen q.gen, gol %noun)]]
+    ::
+        [%dtts *]
+      [(nice bool) [%5 q:$(gen p.gen, gol %noun) q:$(gen q.gen, gol %noun)]]
+    ::
+        [%dtwt *]  [(nice bool) [%3 q:$(gen p.gen, gol %noun)]]
+        [%hand *]  [p.gen q.gen]
+        [%ktbr *]  =+(vat=$(gen p.gen) [(nice (wrap(sut p.vat) %iron)) q.vat])
+    ::
+        [%ktls *]
+      =+(hif=(nice (play p.gen)) [hif q:$(gen q.gen, gol hif)])
+    ::
+        [%ktpm *]  =+(vat=$(gen p.gen) [(nice (wrap(sut p.vat) %zinc)) q.vat])
+        [%ktsg *]  (blow gol p.gen)
+        [%tune *]  [(face p.gen sut) [%0 %1]]
+        [%ktwt *]  =+(vat=$(gen p.gen) [(nice (wrap(sut p.vat) %lead)) q.vat])
+    ::
+        [%note *]
+      =+  hum=$(gen q.gen)
+      [(hint [sut p.gen] p.hum) q.hum]
+    ::
+        [%sgzp *]  ~_(duck(sut (play p.gen)) $(gen q.gen))
+        [%sggr *]
+      =+  hum=$(gen q.gen)
+      :: ?:  &(huz !?=(%|(@ [?(%sgcn %sgls) ^]) p.gen))
+      ::  hum
+      :-  p.hum
+      :+  %11
+        ?-    p.gen
+            @   p.gen
+            ^   [p.p.gen q:$(gen q.p.gen, gol %noun)]
+        ==
+      q.hum
+    ::
+        [%tsgr *]
+      =+  fid=$(gen p.gen, gol %noun)
+      =+  dov=$(sut p.fid, gen q.gen)
+      [p.dov (comb q.fid q.dov)]
+    ::
+        [%tscm *]
+      $(gen q.gen, sut (busk p.gen))
+    ::
+        [%wtcl *]
+      =+  nor=$(gen p.gen, gol bool)
+      =+  fex=(gain p.gen)
+      =+  wux=(lose p.gen)
+      =+  ^=  duy
+          ?:  =(%void fex)
+            ?:(=(%void wux) [%0 0] [%1 1])
+          ?:(=(%void wux) [%1 0] q.nor)
+      =+  hiq=$(sut fex, gen q.gen)
+      =+  ran=$(sut wux, gen r.gen)
+      [(fork p.hiq p.ran ~) (cond duy q.hiq q.ran)]
+    ::
+        [%wthx *]
+      :-  (nice bool)
+      =+  fid=(find %read [[%& 1] q.gen])
+      ~>  %mean.'mint-fragment'
+      ?>  &(?=(%& -.fid) ?=(%& -.q.p.fid))
+      (~(fish ar `type`p.q.p.fid `skin`p.gen) (tend p.p.fid))
+    ::
+        [%fits *]
+      :-  (nice bool)
+      =+  ref=(play p.gen)
+      =+  fid=(find %read q.gen)
+      ~|  [%test q.gen]
+      |-  ^-  nock
+      ?-  -.fid
+        %&  ?-  -.q.p.fid
+              %&  (fish(sut ref) (tend p.p.fid))
+              %|  $(fid [%| (fine fid)])
+            ==
+        %|  [%7 q.p.fid (fish(sut ref) 1)]
+      ==
+    ::
+        [%dbug *]
+      ~_  (show %o p.gen)
+      =+  hum=$(gen q.gen)
+      [p.hum [%11 [%spot %1 p.gen] q.hum]]
+    ::
+        [%zpcm *]   [(nice (play p.gen)) [%1 q.gen]]    ::  XX validate!
+        [%lost *]
+      ?:  vet
+        ~_  (dunk(sut (play p.gen)) 'lost')
+        ~>(%mean.'mint-lost' !!)
+      [%void [%0 0]]
+    ::
+        [%zpmc *]
+      =+  vos=$(gol %noun, gen q.gen)
+      =+  ref=p:$(gol %noun, gen p.gen)
+      [(nice (cell ref p.vos)) (cons [%1 burp(sut p.vos)] q.vos)]
+    ::
+        [%zpgl *]
+      =/  typ  (nice (play [%kttr p.gen]))
+      =/  val
+        =<  q
+        %_    $
+            gol  %noun
+            gen
+          :^    %wtcl
+              :+  %cncl  [%limb %levi]
+              :~  [%tsgr [%zpgr [%kttr p.gen]] [%$ 2]]
+                  [%tsgr q.gen [%$ 2]]
+              ==
+            [%tsgr q.gen [%$ 3]]
+          [%zpzp ~]
+        ==
+      [typ val]
+    ::
+        [%zpts *]   [(nice %noun) [%1 q:$(vet |, gen p.gen)]]
+        [%zppt *]   ?:((feel p.gen) $(gen q.gen) $(gen r.gen))
+    ::
+        [%zpzp ~]  [%void [%0 0]]
+        *
+      =+  doz=~(open ap gen)
+      ?:  =(doz gen)
+        ~_  (show [%c 'hoon'] [%q gen])
+        ~>(%mean.'mint-open' !!)
+      $(gen doz)
+    ==
+    ::
+    ++  nice
+      |=  typ=type
+      ~_  leaf+"mint-nice"
+      ?>  ?|(!vet (nest(sut gol) & typ))
+      typ
+    ::
+    ++  grow
+      |=  [mel=vair nym=(unit term) hud=poly ruf=hoon dom=(map term tome)]
+      ^-  [p=type q=nock]
+      =+  dan=^$(gen ruf, gol %noun)
+      =+  pul=(mine gol mel nym hud dom)
+      [(nice p.pul) (cons q.pul q.dan)]
+    --
+  ::
+  ++  moot
+    =+  gil=*(set type)
+    |-  ^-  ?
+    ?-  sut
+      [%atom *]  |
+      [%cell *]  |($(sut p.sut) $(sut q.sut))
+      [%core *]  $(sut p.sut)
+      [%face *]  $(sut q.sut)
+      [%fork *]  (levy ~(tap in p.sut) |=(type ^$(sut +<)))
+      [%hint *]  $(sut q.sut)
+      [%hold *]  |((~(has in gil) sut) $(gil (~(put in gil) sut), sut repo))
+      %noun      |
+      %void      &
+    ==
+  ::
+  ++  mull
+    ~/  %mull
+    |=  [gol=type dox=type gen=hoon]
+    |^  ^-  [p=type q=type]
+    ?:  =(%void sut)
+      ~>(%mean.'mull-none' !!)
+    ?-    gen
+    ::
+        [^ *]
+      =+  hed=$(gen p.gen, gol %noun)
+      =+  tal=$(gen q.gen, gol %noun)
+      [(nice (cell p.hed p.tal)) (cell q.hed q.tal)]
+    ::
+        [%brcn *]  (grow %gold p.gen %dry [%$ 1] q.gen)
+        [%brpt *]  (grow %gold p.gen %wet [%$ 1] q.gen)
+        [%cnts *]  (~(mull et p.gen q.gen) gol dox)
+        [%dtkt *]  =+($(gen q.gen, gol %noun) $(gen [%kttr p.gen]))
+        [%dtls *]  =+($(gen p.gen, gol [%atom %$ ~]) (beth [%atom %$ ~]))
+        [%sand *]  (beth (play gen))
+        [%rock *]  (beth (play gen))
+    ::
+        [%dttr *]
+      =+([$(gen p.gen, gol %noun) $(gen q.gen, gol %noun)] (beth %noun))
+    ::
+        [%dtts *]
+      =+([$(gen p.gen, gol %noun) $(gen q.gen, gol %noun)] (beth bool))
+    ::
+        [%dtwt *]  =+($(gen p.gen, gol %noun) (beth bool)) ::  XX  =|
+        [%hand *]  [p.gen p.gen]
+        [%ktbr *]
+      =+(vat=$(gen p.gen) [(wrap(sut p.vat) %iron) (wrap(sut q.vat) %iron)])
+    ::
+        [%ktls *]
+      =+  hif=[p=(nice (play p.gen)) q=(play(sut dox) p.gen)]
+      =+($(gen q.gen, gol p.hif) hif)
+    ::
+        [%ktpm *]
+      =+(vat=$(gen p.gen) [(wrap(sut p.vat) %zinc) (wrap(sut q.vat) %zinc)])
+    ::
+        [%tune *]
+      [(face p.gen sut) (face p.gen dox)]
+    ::
+        [%ktwt *]
+      =+(vat=$(gen p.gen) [(wrap(sut p.vat) %lead) (wrap(sut q.vat) %lead)])
+    ::
+        [%note *]
+      =+  vat=$(gen q.gen)
+      [(hint [sut p.gen] p.vat) (hint [dox p.gen] q.vat)]
+    ::
+        [%ktsg *]  $(gen p.gen)
+        [%sgzp *]  ~_(duck(sut (play p.gen)) $(gen q.gen))
+        [%sggr *]  $(gen q.gen)
+        [%tsgr *]
+      =+  lem=$(gen p.gen, gol %noun)
+      $(gen q.gen, sut p.lem, dox q.lem)
+    ::
+        [%tscm *]
+      =/  boc  (busk p.gen)
+      =/  nuf  (busk(sut dox) p.gen)
+      $(gen q.gen, sut boc, dox nuf)
+    ::
+        [%wtcl *]
+      =+  nor=$(gen p.gen, gol bool)
+      =+  ^=  hiq  ^-  [p=type q=type]
+          =+  fex=[p=(gain p.gen) q=(gain(sut dox) p.gen)]
+          ?:  =(%void p.fex)
+            :-  %void
+            ?:  =(%void q.fex)
+              %void
+            ~>(%mean.'if-z' (play(sut q.fex) q.gen))
+          ?:  =(%void q.fex)
+            ~>(%mean.'mull-bonk-b' !!)
+          $(sut p.fex, dox q.fex, gen q.gen)
+      =+  ^=  ran  ^-  [p=type q=type]
+          =+  wux=[p=(lose p.gen) q=(lose(sut dox) p.gen)]
+          ?:  =(%void p.wux)
+            :-  %void
+            ?:  =(%void q.wux)
+              %void
+            ~>(%mean.'if-a' (play(sut q.wux) r.gen))
+          ?:  =(%void q.wux)
+            ~>(%mean.'mull-bonk-c' !!)
+          $(sut p.wux, dox q.wux, gen r.gen)
+      [(nice (fork p.hiq p.ran ~)) (fork q.hiq q.ran ~)]
+    ::
+        [%fits *]
+      =+  waz=[p=(play p.gen) q=(play(sut dox) p.gen)]
+      =+  ^=  syx  :-  p=(cove q:(mint %noun [%wing q.gen]))
+                   q=(cove q:(mint(sut dox) %noun [%wing q.gen]))
+      =+  pov=[p=(fish(sut p.waz) p.syx) q=(fish(sut q.waz) q.syx)]
+      ?.  &(=(p.syx q.syx) =(p.pov q.pov))
+        ~>(%mean.'mull-bonk-a' !!)
+      (beth bool)
+    ::
+        [%wthx *]
+      ~>  %mean.'mull-bonk-x'
+      =+  :-  =+  (find %read [[%& 1] q.gen])
+              ?>  &(?=(%& -.-) ?=(%& -.q.p.-))
+              new=[type=p.q.p.- axis=(tend p.p.-)]
+          =+  (find(sut dox) %read [%& 1] q.gen)
+          ?>  &(?=(%& -.-) ?=(%& -.q.p.-))
+          old=[type=p.q.p.- axis=(tend p.p.-)]
+      ?>  =(axis.old axis.new)
+      ?>  (nest(sut type.old) & type.new)
+      (beth bool)
+    ::
+        [%dbug *]  ~_((show %o p.gen) $(gen q.gen))
+        [%zpcm *]  [(nice (play p.gen)) (play(sut dox) p.gen)]
+        [%lost *]
+      ?:  vet
+        ::  ~_  (dunk(sut (play p.gen)) 'also')
+        ~>(%mean.'mull-skip' !!)
+      (beth %void)
+    ::
+        [%zpts *]  (beth %noun)
+    ::
+        [%zpmc *]
+      =+  vos=$(gol %noun, gen q.gen)       ::  XX validate!
+      [(nice (cell (play p.gen) p.vos)) (cell (play(sut dox) p.gen) q.vos)]
+    ::
+        [%zpgl *]
+      ::  XX is this right?
+      (beth (play [%kttr p.gen]))
+    ::
+        [%zppt *]
+      =+  [(feel p.gen) (feel(sut dox) p.gen)]
+      ?.  =(-< ->)
+        ~>(%mean.'mull-bonk-f' !!)
+      ?:  -<
+        $(gen q.gen)
+      $(gen r.gen)
+    ::
+        [%zpzp *]  (beth %void)
+        *
+      =+  doz=~(open ap gen)
+      ?:  =(doz gen)
+        ~_  (show [%c 'hoon'] [%q gen])
+        ~>(%mean.'mull-open' !!)
+      $(gen doz)
+    ==
+    ::
+    ++  beth
+      |=  typ=type
+      [(nice typ) typ]
+    ::
+    ++  nice
+      |=  typ=type
+      ::  ~_  (dunk(sut gol) 'need')
+      ::  ~_  (dunk(sut typ) 'have')
+      ~_  leaf+"mull-nice"
+      ?>  ?|(!vet (nest(sut gol) & typ))
+      typ
+    ::
+    ++  grow
+      |=  [mel=vair nym=(unit term) hud=poly ruf=hoon dom=(map term tome)]
+      ::  make al
+      ~_  leaf+"mull-grow"
+      ^-  [p=type q=type]
+      =+  dan=^$(gen ruf, gol %noun)
+      =+  yaz=(mile(sut p.dan) q.dan mel nym hud dom)
+      [(nice p.yaz) q.yaz]
+    --
+  ++  meet  |=(ref=type &((nest | ref) (nest(sut ref) | sut)))
+  ::                                                    ::
+  ++  miss                                              ::  nonintersection
+    |=  $:  ::  ref: symmetric type
+            ::
+            ref=type
+        ==
+    ::  intersection of sut and ref is empty
+    ::
+    ^-  ?
+    =|  gil=(set (set type))
+    =<  dext
+    |%
+    ++  dext
+      ^-  ?
+      ::
+      ?:  =(ref sut)
+        (nest(sut %void) | sut)
+      ?-  sut
+        %void      &
+        %noun      (nest(sut %void) | ref)
+        [%atom *]  sint
+        [%cell *]  sint
+        [%core *]  sint(sut [%cell %noun %noun])
+        [%fork *]  %+  levy  ~(tap in p.sut)
+                   |=(type dext(sut +<))
+        [%face *]  dext(sut q.sut)
+        [%hint *]  dext(sut q.sut)
+        [%hold *]  =+  (~(gas in *(set type)) `(list type)`[sut ref ~])
+                   ?:  (~(has in gil) -)
+                      &
+                   %=  dext
+                     sut  repo
+                     gil  (~(put in gil) -)
+      ==           ==
+    ++  sint
+      ?+  ref      dext(sut ref, ref sut)
+        [%atom *]  ?.  ?=([%atom *] sut)  &
+                   ?&  ?=(^ q.ref)
+                       ?=(^ q.sut)
+                       !=(q.ref q.sut)
+                   ==
+        [%cell *]  ?.  ?=([%cell *] sut)  &
+                   ?|  dext(sut p.sut, ref p.ref)
+                       dext(sut q.sut, ref q.ref)
+      ==           ==
+    --
+  ++  mite  |=(ref=type |((nest | ref) (nest(sut ref) & sut)))
+  ++  nest
+    ~/  %nest
+    |=  [tel=? ref=type]
+    =|  $:  seg=(set type)                              ::  degenerate sut
+            reg=(set type)                              ::  degenerate ref
+            gil=(set [p=type q=type])                   ::  assume nest
+        ==
+    =<  dext
+    ~%  %nest-in  ..$  ~
+    |%
+    ++  deem
+      |=  [mel=vair ram=vair]
+      ^-  ?
+      ?.  |(=(mel ram) =(%lead mel) =(%gold ram))  |
+      ?-  mel
+        %lead  &
+        %gold  meet
+        %iron  dext(sut (peek(sut ref) %rite 2), ref (peek %rite 2))
+        %zinc  dext(sut (peek %read 2), ref (peek(sut ref) %read 2))
+      ==
+    ::
+    ++  deep
+      |=  $:  dom=(map term tome)
+              vim=(map term tome)
+          ==
+      ^-  ?
+      ?:  ?=(~ dom)  =(vim ~)
+      ?:  ?=(~ vim)  |
+      ?&  =(p.n.dom p.n.vim)
+          $(dom l.dom, vim l.vim)
+          $(dom r.dom, vim r.vim)
+      ::
+          =+  [dab hem]=[q.q.n.dom q.q.n.vim]
+          |-  ^-  ?
+          ?:  ?=(~ dab)  =(hem ~)
+          ?:  ?=(~ hem)  |
+          ?&  =(p.n.dab p.n.hem)
+              $(dab l.dab, hem l.hem)
+              $(dab r.dab, hem r.hem)
+              %=  dext
+                sut  (play q.n.dab)
+                ref  (play(sut ref) q.n.hem)
+      ==  ==  ==
+    ::
+    ++  dext
+      =<  $
+      ~%  %nest-dext  +  ~
+      |.
+      ^-  ?
+      =-  ?:  -  &
+          ?.  tel  |
+          ~_  (dunk %need)
+          ~_  (dunk(sut ref) %have)
+          ~>  %mean.'nest-fail'
+          !!
+      ?:  =(sut ref)  &
+      ?-  sut
+        %void      sint
+        %noun      &
+        [%atom *]  ?.  ?=([%atom *] ref)  sint
+                   ?&  (fitz p.sut p.ref)
+                       |(?=(~ q.sut) =(q.sut q.ref))
+                   ==
+        [%cell *]  ?.  ?=([%cell *] ref)  sint
+                   ?&  dext(sut p.sut, ref p.ref, seg ~, reg ~)
+                       dext(sut q.sut, ref q.ref, seg ~, reg ~)
+                   ==
+        [%core *]  ?.  ?=([%core *] ref)  sint
+                   ?:  =(q.sut q.ref)  dext(sut p.sut, ref p.ref)
+                   ?&  =(q.p.q.sut q.p.q.ref)  ::  same wet/dry
+                       meet(sut q.q.sut, ref p.sut)
+                       dext(sut q.q.ref, ref p.ref)
+                       (deem(sut q.q.sut, ref q.q.ref) r.p.q.sut r.p.q.ref)
+                       ?:  =(%wet q.p.q.sut)  =(q.r.q.sut q.r.q.ref)
+                       ?|  (~(has in gil) [sut ref])
+                           %.  [q.r.q.sut q.r.q.ref]
+                           %=  deep
+                             gil  (~(put in gil) [sut ref])
+                             sut  sut(p q.q.sut, r.p.q %gold)
+                             ref  ref(p q.q.ref, r.p.q %gold)
+                       ==  ==
+                   ==
+        [%face *]  dext(sut q.sut)
+        [%fork *]  ?.  ?=(?([%atom *] %noun [%cell *] [%core *]) ref)  sint
+                   (lien ~(tap in p.sut) |=(type dext(tel |, sut +<)))
+        [%hint *]  dext(sut q.sut)
+        [%hold *]  ?:  (~(has in seg) sut)  |
+                   ?:  (~(has in gil) [sut ref])  &
+                   %=  dext
+                     sut  repo
+                     seg  (~(put in seg) sut)
+                     gil  (~(put in gil) [sut ref])
+      ==           ==
+    ::
+    ++  meet  &(dext dext(sut ref, ref sut))
+    ++  sint
+      ^-  ?
+      ?-  ref
+        %noun       |
+        %void       &
+        [%atom *]   |
+        [%cell *]   |
+        [%core *]   dext(ref repo(sut ref))
+        [%face *]   dext(ref q.ref)
+        [%fork *]   (levy ~(tap in p.ref) |=(type dext(ref +<)))
+        [%hint *]   dext(ref q.ref)
+        [%hold *]   ?:  (~(has in reg) ref)  &
+                    ?:  (~(has in gil) [sut ref])  &
+                    %=  dext
+                      ref  repo(sut ref)
+                      reg  (~(put in reg) ref)
+                      gil  (~(put in gil) [sut ref])
+      ==            ==
+    --
+  ::
+  ++  peek
+    ~/  %peek
+    |=  [way=?(%read %rite %both %free) axe=axis]
+    ^-  type
+    ?:  =(1 axe)
+      sut
+    =+  [now=(cap axe) lat=(mas axe)]
+    =+  gil=*(set type)
+    |-  ^-  type
+    ?-    sut
+        [%atom *]   %void
+        [%cell *]   ?:(=(2 now) ^$(sut p.sut, axe lat) ^$(sut q.sut, axe lat))
+        [%core *]
+      ?.  =(3 now)  %noun
+      =+  pec=(peel way r.p.q.sut)
+      =/  tow
+        ?:  =(1 lat)  1
+        (cap lat)
+      %=    ^$
+          axe  lat
+          sut
+        ?:  ?|  =([& &] pec)
+                &(sam.pec =(tow 2))
+                &(con.pec =(tow 3))
+            ==
+          p.sut
+        ~_  leaf+"payload-block"
+        ?.  =(way %read)  !!
+        %+  cell
+          ?.(sam.pec %noun ^$(sut p.sut, axe 2))
+        ?.(con.pec %noun ^$(sut p.sut, axe 3))
+      ==
+    ::
+        [%fork *]   (fork (turn ~(tap in p.sut) |=(type ^$(sut +<))))
+        [%hold *]
+      ?:  (~(has in gil) sut)
+        %void
+      $(gil (~(put in gil) sut), sut repo)
+    ::
+        %void       %void
+        %noun       %noun
+        *           $(sut repo)
+    ==
+  ::
+  ++  peel
+    |=  [way=vial met=?(%gold %iron %lead %zinc)]
+    ^-  [sam=? con=?]
+    ?:  ?=(%gold met)  [& &]
+    ?-  way
+      %both  [| |]
+      %free  [& &]
+      %read  [?=(%zinc met) |]
+      %rite  [?=(%iron met) |]
+    ==
+  ::
+  ++  play
+    ~/  %play
+    =>  .(vet |)
+    |=  gen=hoon
+    ^-  type
+    ?-  gen
+      [^ *]      (cell $(gen p.gen) $(gen q.gen))
+      [%brcn *]  (core sut [p.gen %dry %gold] sut *seminoun q.gen)
+      [%brpt *]  (core sut [p.gen %wet %gold] sut *seminoun q.gen)
+      [%cnts *]  ~(play et p.gen q.gen)
+      [%dtkt *]  $(gen [%kttr p.gen])
+      [%dtls *]  [%atom %$ ~]
+      [%rock *]  |-  ^-  type
+                 ?@  q.gen  [%atom p.gen `q.gen]
+                 [%cell $(q.gen -.q.gen) $(q.gen +.q.gen)]
+      [%sand *]  ?@  q.gen
+                   ?:  =(%n p.gen)  ?>(=(0 q.gen) [%atom p.gen `q.gen])
+                   ?:  =(%f p.gen)  ?>((lte q.gen 1) bool)
+                   [%atom p.gen ~]
+                 $(-.gen %rock)
+      [%tune *]  (face p.gen sut)
+      [%dttr *]  %noun
+      [%dtts *]  bool
+      [%dtwt *]  bool
+      [%hand *]  p.gen
+      [%ktbr *]  (wrap(sut $(gen p.gen)) %iron)
+      [%ktls *]  $(gen p.gen)
+      [%ktpm *]  (wrap(sut $(gen p.gen)) %zinc)
+      [%ktsg *]  $(gen p.gen)
+      [%ktwt *]  (wrap(sut $(gen p.gen)) %lead)
+      [%note *]  (hint [sut p.gen] $(gen q.gen))
+      [%sgzp *]  ~_(duck(sut ^$(gen p.gen)) $(gen q.gen))
+      [%sggr *]  $(gen q.gen)
+      [%tsgr *]  $(gen q.gen, sut $(gen p.gen))
+      [%tscm *]  $(gen q.gen, sut (busk p.gen))
+      [%wtcl *]  =+  [fex=(gain p.gen) wux=(lose p.gen)]
+                 %-  fork  :~
+                   ?:(=(%void fex) %void $(sut fex, gen q.gen))
+                   ?:(=(%void wux) %void $(sut wux, gen r.gen))
+                 ==
+      [%fits *]  bool
+      [%wthx *]  bool
+      [%dbug *]  ~_((show %o p.gen) $(gen q.gen))
+      [%zpcm *]  $(gen p.gen)
+      [%lost *]  %void
+      [%zpmc *]  (cell $(gen p.gen) $(gen q.gen))
+      [%zpgl *]  (play [%kttr p.gen])
+      [%zpts *]  %noun
+      [%zppt *]  ?:((feel p.gen) $(gen q.gen) $(gen r.gen))
+      [%zpzp *]  %void
+      *          =+  doz=~(open ap gen)
+                 ?:  =(doz gen)
+                   ~_  (show [%c 'hoon'] [%q gen])
+                   ~>  %mean.'play-open'
+                   !!
+                 $(gen doz)
+    ==
+  ::                                                    ::
+  ++  redo                                              ::  refurbish faces
+    ~/  %redo
+    |=  $:  ::  ref: raw payload
+            ::
+            ref=type
+        ==
+    ::  :type: subject refurbished to reference namespace
+    ::
+    ^-  type
+    ::  hos: subject tool stack
+    ::  wec: reference tool stack set
+    ::  gil: repetition set
+    ::
+    =|  hos=(list tool)
+    =/  wec=(set (list tool))  [~ ~ ~]
+    =|  gil=(set (pair type type))
+    =<  ::  errors imply subject/reference mismatch
+        ::
+        ~|  %redo-match
+        ::  reduce by subject
+        ::
+        dext
+    |%
+    ::                                                  ::
+    ++  dear                                            ::  resolve tool stack
+      ::  :(unit (list tool)): unified tool stack
+      ::
+      ^-  (unit (list tool))
+      ::  empty implies void
+      ::
+      ?~  wec  `~
+      ::  any reference faces must be clear
+      ::
+      ?.  ?=([* ~ ~] wec)
+        ~&  [%dear-many wec]
+        ~
+      :-  ~
+      ::  har: single reference tool stack
+      ::
+      =/  har  n.wec
+      ::  len: lengths of [sut ref] face stacks
+      ::
+      =/  len  [p q]=[(lent hos) (lent har)]
+      ::  lip: length of sut-ref face stack overlap
+      ::
+      ::      AB
+      ::       BC
+      ::
+      ::    +lip is (lent B), where +hay is forward AB
+      ::    and +liv is forward BC (stack BA and CB).
+      ::
+      ::    overlap is a weird corner case.  +lip is
+      ::    almost always 0.  brute force is fine.
+      ::
+      =/  lip
+        =|  lup=(unit @ud)
+        =|  lip=@ud
+        |-  ^-  @ud
+        ?:  |((gth lip p.len) (gth lip q.len))
+          (fall lup 0)
+        ::  lep: overlap candidate: suffix of subject face stack
+        ::
+        =/  lep  (slag (sub p.len lip) hos)
+        ::  lap: overlap candidate: prefix of reference face stack
+        ::
+        =/  lap  (scag lip har)
+        ::  save any match and continue
+        ::
+        $(lip +(lip), lup ?.(=(lep lap) lup `lip))
+      ::  ~&  [har+har hos+hos len+len lip+lip]
+      ::  produce combined face stack (forward ABC, stack CBA)
+      ::
+      (weld hos (slag lip har))
+    ::                                                  ::
+    ++  dext                                            ::  subject traverse
+      ::  :type: refurbished subject
+      ::
+      ^-  type
+      ::  check for trivial cases
+      ::
+      ?:  ?|  =(sut ref)
+              ?=(?(%noun %void [?(%atom %core) *]) ref)
+          ==
+        done
+      ::  ~_  (dunk 'redo: dext: sut')
+      ::  ~_  (dunk(sut ref) 'redo: dext: ref')
+      ?-    sut
+          ?(%noun %void [?(%atom %core) *])
+        ::  reduce reference and reassemble leaf
+        ::
+        done:(sint &)
+      ::
+          [%cell *]
+        ::  reduce reference to match subject
+        ::
+        =>  (sint &)
+        ?>  ?=([%cell *] sut)
+        ::  leaf with possible recursive descent
+        ::
+        %=    done
+            sut
+          ::  clear face stacks for descent
+          ::
+          =:  hos  ~
+              wec  [~ ~ ~]
+            ==
+          ::  descend into cell
+          ::
+          :+  %cell
+            dext(sut p.sut, ref (peek(sut ref) %free 2))
+          dext(sut q.sut, ref (peek(sut ref) %free 3))
+        ==
+      ::
+          [%face *]
+        ::  push face on subject stack, and descend
+        ::
+        dext(hos [p.sut hos], sut q.sut)
+      ::
+          [%hint *]
+        ::  work through hint
+        ::
+        (hint p.sut dext(sut q.sut))
+      ::
+          [%fork *]
+        ::  reconstruct each case in fork
+        ::
+        (fork (turn ~(tap in p.sut) |=(type dext(sut +<))))
+      ::
+          [%hold *]
+        ::  reduce to hard
+        ::
+        =>  (sint |)
+        ?>  ?=([%hold *] sut)
+        ?:  (~(has in fan) [p.sut q.sut])
+          ::  repo loop; redo depends on its own product
+          ::
+          done:(sint &)
+        ?:  (~(has in gil) [sut ref])
+          ::  type recursion, stop renaming
+          ::
+          done:(sint |)
+        ::  restore unchanged holds
+        ::
+        =+  repo
+        =-  ?:(=(- +<) sut -)
+        dext(sut -, gil (~(put in gil) sut ref))
+      ==
+    ::                                                  ::
+    ++  done                                            ::  complete assembly
+      ^-  type
+      ::  :type: subject refurbished
+      ::
+      ::  lov: combined face stack
+      ::
+      =/  lov
+          =/  lov  dear
+          ?~  lov
+            ::  ~_  (dunk 'redo: dear: sut')
+            ::  ~_  (dunk(sut ref) 'redo: dear: ref')
+            ~&  [%wec wec]
+            !!
+          (need lov)
+      ::  recompose faces
+      ::
+      |-  ^-  type
+      ?~  lov  sut
+      $(lov t.lov, sut (face i.lov sut))
+    ::
+    ++  sint                                            ::  reduce by reference
+      |=  $:  ::  hod: expand holds
+              ::
+              hod=?
+          ==
+      ::  ::.: reference with face/fork/hold reduced
+      ::
+      ^+  .
+      ::  =-  ~>  %slog.[0 (dunk 'sint: sut')]
+      ::      ~>  %slog.[0 (dunk(sut ref) 'sint: ref')]
+      ::      ~>  %slog.[0 (dunk(sut =>(- ref)) 'sint: pro')]
+      ::      -
+      ?+    ref  .
+          [%hint *]  $(ref q.ref)
+          [%face *]
+        ::  extend all stacks in set
+        ::
+        %=  $
+          ref  q.ref
+          wec  (~(run in wec) |=((list tool) [p.ref +<]))
+        ==
+      ::
+          [%fork *]
+        ::  reconstruct all relevant cases
+        ::
+        =-  ::  ~>  %slog.[0 (dunk 'fork: sut')]
+            ::  ~>  %slog.[0 (dunk(sut ref) 'fork: ref')]
+            ::  ~>  %slog.[0 (dunk(sut (fork ->)) 'fork: pro')]
+            +(wec -<, ref (fork ->))
+        =/  moy  ~(tap in p.ref)
+        |-  ^-  (pair (set (list tool)) (list type))
+        ?~  moy  [~ ~]
+        ::  head recurse
+        ::
+        =/  mor  $(moy t.moy)
+        ::  prune reference cases outside subject
+        ::
+        ?:  (miss i.moy)  mor
+        ::  unify all cases
+        ::
+        =/  dis  ^$(ref i.moy)
+        [(~(uni in p.mor) wec.dis) [ref.dis q.mor]]
+      ::
+          [%hold *]
+        ?.  hod  .
+        $(ref repo(sut ref))
+      ==
+    --
+  ::
+  ++  repo
+    ^-  type
+    ?-  sut
+      [%core *]   [%cell %noun p.sut]
+      [%face *]   q.sut
+      [%hint *]   q.sut
+      [%hold *]   (rest [[p.sut q.sut] ~])
+      %noun       (fork [%atom %$ ~] [%cell %noun %noun] ~)
+      *           ~>(%mean.'repo-fltt' !!)
+    ==
+  ::
+  ++  rest
+    ~/  %rest
+    |=  leg=(list [p=type q=hoon])
+    ^-  type
+    ?:  (lien leg |=([p=type q=hoon] (~(has in fan) [p q])))
+      ~>(%mean.'rest-loop' !!)
+    =>  .(fan (~(gas in fan) leg))
+    %-  fork
+    %~  tap  in
+    %-  ~(gas in *(set type))
+    (turn leg |=([p=type q=hoon] (play(sut p) q)))
+  ::
+  ++  sink
+    ~/  %sink
+    |^  ^-  cord
+    ?-  sut
+      %void      'void'
+      %noun      'noun'
+      [%atom *]  (rap 3 'atom ' p.sut ' ' ?~(q.sut '~' u.q.sut) ~)
+      [%cell *]  (rap 3 'cell ' (mup p.sut) ' ' (mup q.sut) ~)
+      [%face *]  (rap 3 'face ' ?@(p.sut p.sut (mup p.sut)) ' ' (mup q.sut) ~)
+      [%fork *]  (rap 3 'fork ' (mup p.sut) ~)
+      [%hint *]  (rap 3 'hint ' (mup p.sut) ' ' (mup q.sut) ~)
+      [%hold *]  (rap 3 'hold ' (mup p.sut) ' ' (mup q.sut) ~)
+    ::
+        [%core *]
+      %+  rap  3
+      :~  'core '
+          (mup p.sut)
+          ' '
+          ?~(p.p.q.sut '~' u.p.p.q.sut)
+          ' '
+          q.p.q.sut
+          ' '
+          r.p.q.sut
+          ' '
+          (mup q.q.sut)
+          ' '
+          (mup p.r.q.sut)
+      ==
+    ==
+    ::
+    ++  mup  |=(* (scot %p (mug +<)))
+    --
+  ::
+  ++  take
+    |=  [vit=vein duz=$-(type type)]
+    ^-  (pair axis type)
+    :-  (tend vit)
+    =.  vit  (flop vit)
+    |-  ^-  type
+    ?~  vit  (duz sut)
+    ?~  i.vit
+      |-  ^-  type
+      ?+  sut      ^$(vit t.vit)
+        [%face *]  (face p.sut ^$(vit t.vit, sut q.sut))
+        [%hint *]  (hint p.sut ^$(sut q.sut))
+        [%fork *]  (fork (turn ~(tap in p.sut) |=(type ^$(sut +<))))
+        [%hold *]  $(sut repo)
+      ==
+    =+  vil=*(set type)
+    |-  ^-  type
+    ?:  =(1 u.i.vit)
+      ^$(vit t.vit)
+    =+  [now lat]=(cap u.i.vit)^(mas u.i.vit)
+    ?-  sut
+      %noun      $(sut [%cell %noun %noun])
+      %void      %void
+      [%atom *]  %void
+      [%cell *]  ?:  =(2 now)
+                   (cell $(sut p.sut, u.i.vit lat) q.sut)
+                  (cell p.sut $(sut q.sut, u.i.vit lat))
+      [%core *]  ?:  =(2 now)
+                   $(sut repo)
+                 (core $(sut p.sut, u.i.vit lat) q.sut)
+      [%face *]  (face p.sut $(sut q.sut))
+      [%fork *]  (fork (turn ~(tap in p.sut) |=(type ^$(sut +<))))
+      [%hint *]  (hint p.sut $(sut q.sut))
+      [%hold *]  ?:  (~(has in vil) sut)
+                   %void
+                 $(sut repo, vil (~(put in vil) sut))
+    ==
+  ::
+  ++  tack
+    |=  [hyp=wing mur=type]
+    ~_  (show [%c %tack] %l hyp)
+    =+  fid=(find %rite hyp)
+    ?>  ?=(%& -.fid)
+    (take p.p.fid |=(type mur))
+  ::
+  ++  tend
+    |=  vit=vein
+    ^-  axis
+    ?~(vit 1 (peg $(vit t.vit) ?~(i.vit 1 u.i.vit)))
+  ::
+  ++  toss
+    ~/  %toss
+    |=  [hyp=wing mur=type men=(list [p=type q=foot])]
+    ^-  [p=axis q=(list [p=type q=foot])]
+    =-  [(need p.wib) q.wib]
+    ^=  wib
+    |-  ^-  [p=(unit axis) q=(list [p=type q=foot])]
+    ?~  men
+      [*(unit axis) ~]
+    =+  geq=(tack(sut p.i.men) hyp mur)
+    =+  mox=$(men t.men)
+    [(mate p.mox `_p.mox`[~ p.geq]) [[q.geq q.i.men] q.mox]]
+  ::
+  ++  wrap
+    ~/  %wrap
+    |=  yoz=?(%lead %iron %zinc)
+    ~_  leaf+"wrap"
+    ^-  type
+    ?+  sut  sut
+      [%cell *]  (cell $(sut p.sut) $(sut q.sut))
+      [%core *]  ?>(|(=(%gold r.p.q.sut) =(%lead yoz)) sut(r.p.q yoz))
+      [%face *]  (face p.sut $(sut q.sut))
+      [%fork *]  (fork (turn ~(tap in p.sut) |=(type ^$(sut +<))))
+      [%hint *]  (hint p.sut $(sut q.sut))
+      [%hold *]  $(sut repo)
+    ==
+  --
+++  us                                                  ::  prettyprinter
+  =>  |%
+      +$  cape  [p=(map @ud wine) q=wine]               ::
+      +$  wine                                          ::
+                $@  $?  %noun                           ::
+                        %path                           ::
+                        %type                           ::
+                        %void                           ::
+                        %wall                           ::
+                        %wool                           ::
+                        %yarn                           ::
+                    ==                                  ::
+                $%  [%mato p=term]                      ::
+                    [%core p=(list @ta) q=wine]         ::
+                    [%face p=term q=wine]               ::
+                    [%list p=term q=wine]               ::
+                    [%pear p=term q=@]                  ::
+                    [%bcwt p=(list wine)]               ::
+                    [%plot p=(list wine)]               ::
+                    [%stop p=@ud]                       ::
+                    [%tree p=term q=wine]               ::
+                    [%unit p=term q=wine]               ::
+                    [%name p=stud q=wine]               ::
+                ==                                      ::
+      --
+  |_  sut=type
+  ++  dash
+    |=  [mil=tape lim=char lam=tape]
+    ^-  tape
+    =/  esc  (~(gas in *(set @tD)) lam)
+    :-  lim
+    |-  ^-  tape
+    ?~  mil  [lim ~]
+    ?:  ?|  =(lim i.mil)
+            =('\\' i.mil)
+            (~(has in esc) i.mil)
+        ==
+      ['\\' i.mil $(mil t.mil)]
+    ?:  (lte ' ' i.mil)
+      [i.mil $(mil t.mil)]
+    ['\\' ~(x ne (rsh 2 i.mil)) ~(x ne (end 2 i.mil)) $(mil t.mil)]
+  ::
+  ++  deal  |=(lum=* (dish dole lum))
+  ++  dial
+    |=  ham=cape
+    =+  gid=*(set @ud)
+    =<  `tank`-:$
+    |%
+    ++  many
+      |=  haz=(list wine)
+      ^-  [(list tank) (set @ud)]
+      ?~  haz  [~ gid]
+      =^  mor  gid  $(haz t.haz)
+      =^  dis  gid  ^$(q.ham i.haz)
+      [[dis mor] gid]
+    ::
+    ++  $
+      ^-  [tank (set @ud)]
+      ?-    q.ham
+          %noun      :_(gid [%leaf '*' ~])
+          %path      :_(gid [%leaf '/' ~])
+          %type      :_(gid [%leaf '#' 't' ~])
+          %void      :_(gid [%leaf '#' '!' ~])
+          %wool      :_(gid [%leaf '*' '"' '"' ~])
+          %wall      :_(gid [%leaf '*' '\'' '\'' ~])
+          %yarn      :_(gid [%leaf '"' '"' ~])
+          [%mato *]  :_(gid [%leaf '@' (trip p.q.ham)])
+          [%core *]
+        =^  cox  gid  $(q.ham q.q.ham)
+        :_  gid
+        :+  %rose
+          [[' ' ~] ['<' ~] ['>' ~]]
+        |-  ^-  (list tank)
+        ?~  p.q.ham  [cox ~]
+        [[%leaf (rip 3 i.p.q.ham)] $(p.q.ham t.p.q.ham)]
+      ::
+          [%face *]
+        =^  cox  gid  $(q.ham q.q.ham)
+        :_(gid [%palm [['=' ~] ~ ~ ~] [%leaf (trip p.q.ham)] cox ~])
+      ::
+          [%list *]
+        =^  cox  gid  $(q.ham q.q.ham)
+        :_(gid [%rose [" " (weld (trip p.q.ham) "(") ")"] cox ~])
+      ::
+          [%bcwt *]
+        =^  coz  gid  (many p.q.ham)
+        :_(gid [%rose [[' ' ~] ['?' '(' ~] [')' ~]] coz])
+      ::
+          [%plot *]
+        =^  coz  gid  (many p.q.ham)
+        :_(gid [%rose [[' ' ~] ['[' ~] [']' ~]] coz])
+      ::
+          [%pear *]
+        :_(gid [%leaf '%' ~(rend co [%$ p.q.ham q.q.ham])])
+      ::
+          [%stop *]
+        =+  num=~(rend co [%$ %ud p.q.ham])
+        ?:  (~(has in gid) p.q.ham)
+          :_(gid [%leaf '#' num])
+        =^  cox  gid
+            %=  $
+              gid    (~(put in gid) p.q.ham)
+              q.ham  (~(got by p.ham) p.q.ham)
+            ==
+        :_(gid [%palm [['.' ~] ~ ~ ~] [%leaf ['^' '#' num]] cox ~])
+      ::
+          [%tree *]
+        =^  cox  gid  $(q.ham q.q.ham)
+        :_(gid [%rose [" " (weld (trip p.q.ham) "(") ")"] cox ~])
+      ::
+          [%unit *]
+        =^  cox  gid  $(q.ham q.q.ham)
+        :_(gid [%rose [" " (weld (trip p.q.ham) "(") ")"] cox ~])
+      ::
+          [%name *]
+        :_  gid
+        ?@  p.q.ham  (cat 3 '#' mark.p.q.ham)
+        (rap 3 '#' auth.p.q.ham '+' (spat type.p.q.ham) ~)
+      ==
+    --
+  ::
+  ++  dish  !.
+    |=  [ham=cape lum=*]  ^-  tank
+    ~|  [%dish-h ?@(q.ham q.ham -.q.ham)]
+    ~|  [%lump lum]
+    ~|  [%ham ham]
+    %-  need
+    =|  gil=(set [@ud *])
+    |-  ^-  (unit tank)
+    ?-    q.ham
+        %noun
+      %=    $
+          q.ham
+        ?:  ?=(@ lum)
+          [%mato %$]
+        :-  %plot
+        |-  ^-  (list wine)
+        [%noun ?:(?=(@ +.lum) [[%mato %$] ~] $(lum +.lum))]
+      ==
+    ::
+        %path
+      :-  ~
+      :+  %rose
+        [['/' ~] ['/' ~] ~]
+      |-  ^-  (list tank)
+      ?~  lum  ~
+      ?@  lum  !!
+      ?>  ?=(@ -.lum)
+      [[%leaf (rip 3 -.lum)] $(lum +.lum)]
+    ::
+        %type
+      =+  tyr=|.((dial dole))
+      =+  vol=tyr(sut lum)
+      =+  cis=;;(tank .*(vol [%9 2 %0 1]))
+      :^  ~   %palm
+        [~ ~ ~ ~]
+      [[%leaf '#' 't' '/' ~] cis ~]
+    ::
+        %wall
+      :-  ~
+      :+  %rose
+        [[' ' ~] ['<' '|' ~] ['|' '>' ~]]
+      |-  ^-  (list tank)
+      ?~  lum  ~
+      ?@  lum  !!
+      [[%leaf (trip ;;(@ -.lum))] $(lum +.lum)]
+    ::
+        %wool
+      :-  ~
+      :+  %rose
+        [[' ' ~] ['<' '<' ~] ['>' '>' ~]]
+      |-  ^-  (list tank)
+      ?~  lum  ~
+      ?@  lum  !!
+      [(need ^$(q.ham %yarn, lum -.lum)) $(lum +.lum)]
+    ::
+        %yarn
+      [~ %leaf (dash (tape lum) '"' "\{")]
+    ::
+        %void
+      ~
+    ::
+        [%mato *]
+      ?.  ?=(@ lum)
+        ~
+      :+  ~
+        %leaf
+      ?+    (rash p.q.ham ;~(sfix (cook crip (star low)) (star hig)))
+          ~(rend co [%$ p.q.ham lum])
+        %$    ~(rend co [%$ %ud lum])
+        %t    (dash (rip 3 lum) '\'' ~)
+        %tas  ['%' ?.(=(0 lum) (rip 3 lum) ['$' ~])]
+      ==
+    ::
+        [%core *]
+      ::  XX  needs rethinking for core metal
+      ::  ?.  ?=(^ lum)  ~
+      ::  =>  .(lum `*`lum)
+      ::  =-  ?~(tok ~ [~ %rose [[' ' ~] ['<' ~] ['>' ~]] u.tok])
+      ::  ^=  tok
+      ::  |-  ^-  (unit (list tank))
+      ::  ?~  p.q.ham
+      ::    =+  den=^$(q.ham q.q.ham)
+      ::    ?~(den ~ [~ u.den ~])
+      ::  =+  mur=$(p.q.ham t.p.q.ham, lum +.lum)
+      ::  ?~(mur ~ [~ [[%leaf (rip 3 i.p.q.ham)] u.mur]])
+      [~ (dial ham)]
+    ::
+        [%face *]
+      =+  wal=$(q.ham q.q.ham)
+      ?~  wal
+        ~
+      [~ %palm [['=' ~] ~ ~ ~] [%leaf (trip p.q.ham)] u.wal ~]
+    ::
+        [%list *]
+      ?:  =(~ lum)
+        [~ %leaf '~' ~]
+      =-  ?~  tok
+            ~
+          [~ %rose [[' ' ~] ['~' '[' ~] [']' ~]] u.tok]
+      ^=  tok
+      |-  ^-  (unit (list tank))
+      ?:  ?=(@ lum)
+        ?.(=(~ lum) ~ [~ ~])
+      =+  [for=^$(q.ham q.q.ham, lum -.lum) aft=$(lum +.lum)]
+      ?.  &(?=(^ for) ?=(^ aft))
+        ~
+      [~ u.for u.aft]
+    ::
+        [%bcwt *]
+      |-  ^-  (unit tank)
+      ?~  p.q.ham
+        ~
+      =+  wal=^$(q.ham i.p.q.ham)
+      ?~  wal
+        $(p.q.ham t.p.q.ham)
+      wal
+    ::
+        [%plot *]
+      =-  ?~  tok
+            ~
+          [~ %rose [[' ' ~] ['[' ~] [']' ~]] u.tok]
+      ^=  tok
+      |-  ^-  (unit (list tank))
+      ?~  p.q.ham
+        ~
+      ?:  ?=([* ~] p.q.ham)
+        =+  wal=^$(q.ham i.p.q.ham)
+        ?~(wal ~ [~ [u.wal ~]])
+      ?@  lum
+        ~
+      =+  gim=^$(q.ham i.p.q.ham, lum -.lum)
+      ?~  gim
+        ~
+      =+  myd=$(p.q.ham t.p.q.ham, lum +.lum)
+      ?~  myd
+        ~
+      [~ u.gim u.myd]
+    ::
+        [%pear *]
+      ?.  =(lum q.q.ham)
+        ~
+      =.  p.q.ham
+        (rash p.q.ham ;~(sfix (cook crip (star low)) (star hig)))
+      =+  fox=$(q.ham [%mato p.q.ham])
+      ?>  ?=([~ %leaf ^] fox)
+      ?:  ?=(?(%n %tas) p.q.ham)
+        fox
+      [~ %leaf '%' p.u.fox]
+    ::
+        [%stop *]
+      ?:  (~(has in gil) [p.q.ham lum])  ~
+      =+  kep=(~(get by p.ham) p.q.ham)
+      ?~  kep
+        ~|([%stop-loss p.q.ham] !!)
+      $(gil (~(put in gil) [p.q.ham lum]), q.ham u.kep)
+    ::
+        [%tree *]
+      =-  ?~  tok
+            ~
+          [~ %rose [[' ' ~] ['{' ~] ['}' ~]] u.tok]
+      ^=  tok
+      =+  tuk=*(list tank)
+      |-  ^-  (unit (list tank))
+      ?:  =(~ lum)
+        [~ tuk]
+      ?.  ?=([n=* l=* r=*] lum)
+        ~
+      =+  rol=$(lum r.lum)
+      ?~  rol
+        ~
+      =+  tim=^$(q.ham q.q.ham, lum n.lum)
+      ?~  tim
+        ~
+      $(lum l.lum, tuk [u.tim u.rol])
+    ::
+        [%unit *]
+      ?@  lum
+        ?.(=(~ lum) ~ [~ %leaf '~' ~])
+      ?.  =(~ -.lum)
+        ~
+      =+  wal=$(q.ham q.q.ham, lum +.lum)
+      ?~  wal
+        ~
+      [~ %rose [[' ' ~] ['[' ~] [']' ~]] [%leaf '~' ~] u.wal ~]
+    ::
+        [%name *]
+      $(q.ham q.q.ham)
+    ==
+  ::
+  ++  doge
+    |=  ham=cape
+    =-  ?+  woz  woz
+          [%list * [%mato %'ta']]  %path
+          [%list * [%mato %'t']]   %wall
+          [%list * [%mato %'tD']]  %yarn
+          [%list * %yarn]          %wool
+        ==
+    ^=  woz
+    ^-  wine
+    ?.  ?=([%stop *] q.ham)
+      ?:  ?&  ?=  [%bcwt [%pear %n %0] [%plot [%pear %n %0] [%face *] ~] ~]
+                q.ham
+              =(1 (met 3 p.i.t.p.i.t.p.q.ham))
+          ==
+        [%unit =<([p q] i.t.p.i.t.p.q.ham)]
+      q.ham
+    =+  may=(~(get by p.ham) p.q.ham)
+    ?~  may
+      q.ham
+    =+  nul=[%pear %n 0]
+    ?.  ?&  ?=([%bcwt *] u.may)
+            ?=([* * ~] p.u.may)
+            |(=(nul i.p.u.may) =(nul i.t.p.u.may))
+        ==
+      q.ham
+    =+  din=?:(=(nul i.p.u.may) i.t.p.u.may i.p.u.may)
+    ?:  ?&  ?=([%plot [%face *] [%face * %stop *] ~] din)
+            =(p.q.ham p.q.i.t.p.din)
+            =(1 (met 3 p.i.p.din))
+            =(1 (met 3 p.i.t.p.din))
+        ==
+      :+  %list
+        (cat 3 p.i.p.din p.i.t.p.din)
+      q.i.p.din
+    ?:  ?&  ?=  $:  %plot
+                    [%face *]
+                    [%face * %stop *]
+                    [[%face * %stop *] ~]
+                ==
+                din
+            =(p.q.ham p.q.i.t.p.din)
+            =(p.q.ham p.q.i.t.t.p.din)
+            =(1 (met 3 p.i.p.din))
+            =(1 (met 3 p.i.t.p.din))
+            =(1 (met 3 p.i.t.t.p.din))
+        ==
+      :+  %tree
+        %^    cat
+            3
+          p.i.p.din
+        (cat 3 p.i.t.p.din p.i.t.t.p.din)
+      q.i.p.din
+    q.ham
+  ::
+  ++  dole
+    ^-  cape
+    =+  gil=*(set type)
+    =+  dex=[p=*(map type @) q=*(map @ wine)]
+    =<  [q.p q]
+    |-  ^-  [p=[p=(map type @) q=(map @ wine)] q=wine]
+    =-  [p.tez (doge q.p.tez q.tez)]
+    ^=  tez
+    ^-  [p=[p=(map type @) q=(map @ wine)] q=wine]
+    ?:  (~(meet ut sut) -:!>(*type))
+      [dex %type]
+    ?-    sut
+        %noun      [dex sut]
+        %void      [dex sut]
+        [%atom *]  [dex ?~(q.sut [%mato p.sut] [%pear p.sut u.q.sut])]
+        [%cell *]
+      =+  hin=$(sut p.sut)
+      =+  yon=$(dex p.hin, sut q.sut)
+      :-  p.yon
+      :-  %plot
+      ?:(?=([%plot *] q.yon) [q.hin p.q.yon] [q.hin q.yon ~])
+    ::
+        [%core *]
+      =+  yad=$(sut p.sut)
+      :-  p.yad
+      =+  ^=  doy  ^-  [p=(list @ta) q=wine]
+          ?:  ?=([%core *] q.yad)
+            [p.q.yad q.q.yad]
+          [~ q.yad]
+      :-  %core
+      :_  q.doy
+      :_  p.doy
+      %^  cat  3
+        %~  rent  co
+        :+  %$  %ud
+        %-  ~(rep by (~(run by q.r.q.sut) |=(tome ~(wyt by q.+<))))
+        |=([[@ a=@u] b=@u] (add a b))
+      %^  cat  3
+        ?-(r.p.q.sut %gold '.', %iron '|', %lead '?', %zinc '&')
+      =+  gum=(mug q.r.q.sut)
+      %+  can  3
+      :~  [1 (add 'a' (mod gum 26))]
+          [1 (add 'a' (mod (div gum 26) 26))]
+          [1 (add 'a' (mod (div gum 676) 26))]
+      ==
+    ::
+        [%hint *]
+      =+  yad=$(sut q.sut)
+      ?.  ?=(%know -.q.p.sut)  yad
+      [p.yad [%name p.q.p.sut q.yad]]
+    ::
+        [%face *]
+      =+  yad=$(sut q.sut)
+      ?^(p.sut yad [p.yad [%face p.sut q.yad]])
+    ::
+        [%fork *]
+      =+  yed=(sort ~(tap in p.sut) aor)
+      =-  [p [%bcwt q]]
+      |-  ^-  [p=[p=(map type @) q=(map @ wine)] q=(list wine)]
+      ?~  yed
+        [dex ~]
+      =+  mor=$(yed t.yed)
+      =+  dis=^$(dex p.mor, sut i.yed)
+      [p.dis q.dis q.mor]
+    ::
+        [%hold *]
+      =+  hey=(~(get by p.dex) sut)
+      ?^  hey
+        [dex [%stop u.hey]]
+      ?:  (~(has in gil) sut)
+        =+  dyr=+(~(wyt by p.dex))
+        [[(~(put by p.dex) sut dyr) q.dex] [%stop dyr]]
+      =+  rom=$(gil (~(put in gil) sut), sut ~(repo ut sut))
+      =+  rey=(~(get by p.p.rom) sut)
+      ?~  rey
+        rom
+      [[p.p.rom (~(put by q.p.rom) u.rey q.rom)] [%stop u.rey]]
+    ==
+  ::
+  ++  duck  (dial dole)
+  --
+++  cain  sell                                          ::  $-(vase tank)
+++  noah  text                                          ::  $-(vase tape)
+++  onan  seer                                          ::  $-(vise vase)
+++  levi                                                ::  $-([type type] ?)
+  |=  [a=type b=type]
+  (~(nest ut a) & b)
+::
+++  text                                                ::  tape pretty-print
+  |=  vax=vase  ^-  tape
+  ~(ram re (sell vax))
+::
+++  seem  |=(toy=typo `type`toy)                        ::  promote typo
+++  seer  |=(vix=vise `vase`vix)                        ::  promote vise
+::
+::  +sell: pretty-print a vase to a tank using +deal.
+::
+++  sell
+  ~/  %sell
+  |=  vax=vase
+  ^-  tank
+  ~|  %sell
+  (~(deal us p.vax) q.vax)
+::
+::  +skol:  $-(type tank) using duck.
+::
+++  skol
+  |=  typ=type
+  ^-  tank
+  ~(duck ut typ)
+::
+++  slam                                                ::  slam a gate
+  |=  [gat=vase sam=vase]  ^-  vase
+  =+  :-  ^=  typ  ^-  type
+          [%cell p.gat p.sam]
+      ^=  gen  ^-  hoon
+      [%cnsg [%$ ~] [%$ 2] [%$ 3] ~]
+  =+  gun=(~(mint ut typ) %noun gen)
+  [p.gun (slum q.gat q.sam)]
+::
+::  +slab: states whether you can access an arm in a type.
+::
+::    .way: the access type ($vial): read, write, or read-and-write.
+::    The fourth case of $vial, %free, is not permitted because it would
+::    allow you to discover "private" information about a type,
+::    information which you could not make use of in (law-abiding) hoon anyway.
+::
+++  slab                                                ::  test if contains
+  |=  [way=?(%read %rite %both) cog=@tas typ=type]
+  ?=  [%& *]
+  (~(fond ut typ) way ~[cog])
+::
+++  slap
+  |=  [vax=vase gen=hoon]  ^-  vase                     ::  untyped vase .*
+  =+  gun=(~(mint ut p.vax) %noun gen)
+  [p.gun .*(q.vax q.gun)]
+::
+++  slog                                                ::  deify printf
+  =|  pri=@                                             ::  priority level
+  |=  a=tang  ^+  same                                  ::  .=  ~&(%a 1)
+  ?~(a same ~>(%slog.[pri i.a] $(a t.a)))               ::  ((slog ~[>%a<]) 1)
+::                                                      ::
+++  mean                                                ::  crash with trace
+  |=  a=tang
+  ^+  !!
+  ?~  a  !!
+  ~_(i.a $(a t.a))
+::
+++  road
+  |*  =(trap *)
+  ^+  $:trap
+  =/  res  (mule trap)
+  ?-  -.res
+    %&  p.res
+    %|  (mean p.res)
+  ==
+::
+++  slew                                                ::  get axis in vase
+  |=  [axe=@ vax=vase]
+  =/  typ  |.  (~(peek ut p.vax) %free axe)
+  |-  ^-  (unit vase)
+  ?:  =(1 axe)  `[$:typ q.vax]
+  ?@  q.vax     ~
+  $(axe (mas axe), q.vax ?-((cap axe) %2 -.q.vax, %3 +.q.vax))
+::
+++  slim                                                ::  identical to seer?
+  |=  old=vise  ^-  vase
+  old
+::
+++  slit                                                ::  type of slam
+  |=  [gat=type sam=type]
+  ?>  (~(nest ut (~(peek ut gat) %free 6)) & sam)
+  (~(play ut [%cell gat sam]) [%cnsg [%$ ~] [%$ 2] [%$ 3] ~])
+::
+++  slob                                                ::  superficial arm
+  |=  [cog=@tas typ=type]
+  ^-  ?
+  ?+  typ  |
+      [%hold *]  $(typ ~(repo ut typ))
+      [%hint *]  $(typ ~(repo ut typ))
+      [%core *]
+    |-  ^-  ?
+    ?~  q.r.q.typ  |
+    ?|  (~(has by q.q.n.q.r.q.typ) cog)
+        $(q.r.q.typ l.q.r.q.typ)
+        $(q.r.q.typ r.q.r.q.typ)
+    ==
+  ==
+::
+++  sloe                                                ::  get arms in core
+  |=  typ=type
+  ^-  (list term)
+  ?+    typ  ~
+      [%hold *]  $(typ ~(repo ut typ))
+      [%hint *]  $(typ ~(repo ut typ))
+      [%core *]
+    %-  zing
+    %+  turn  ~(tap by q.r.q.typ)
+      |=  [* b=tome]
+    %+  turn  ~(tap by q.b)
+      |=  [a=term *]
+    a
+  ==
+::
+++  slop                                                ::  cons two vases
+  |=  [hed=vase tal=vase]
+  ^-  vase
+  [[%cell p.hed p.tal] [q.hed q.tal]]
+::
+++  slot                                                ::  got axis in vase
+  |=  [axe=@ vax=vase]  ^-  vase
+  [(~(peek ut p.vax) %free axe) .*(q.vax [0 axe])]
+::
+++  slym                                                ::  slam w+o sample-type
+  |=  [gat=vase sam=*]  ^-  vase
+  (slap gat(+<.q sam) [%limb %$])
+::
+++  sped                                                ::  reconstruct type
+  |=  vax=vase
+  ^-  vase
+  :_  q.vax
+  ?@  q.vax  (~(fuse ut p.vax) [%atom %$ ~])
+  ?@  -.q.vax
+    ^=  typ
+    %-  ~(play ut p.vax)
+    [%wtgr [%wtts [%leaf %tas -.q.vax] [%& 2]~] [%$ 1]]
+  (~(fuse ut p.vax) [%cell %noun %noun])
+::  +swat: deferred +slap
+::
+++  swat
+  |=  [tap=(trap vase) gen=hoon]
+  ^-  (trap vase)
+  =/  gun  (~(mint ut p:$:tap) %noun gen)
+  |.  ~+
+  [p.gun .*(q:$:tap q.gun)]
+::
+::    5d: parser
++|  %parser
+::
+::  +vang: set +vast params
+::
+::    bug: debug mode
+::    doc: doccord parsing
+::    wer: where we are
+::
+++  vang
+  |=  [f=$@(? [bug=? doc=?]) wer=path]
+  %*(. vast bug ?@(f f bug.f), doc ?@(f & doc.f), wer wer)
+::
+++  vast                                                ::  main parsing core
+  =+  [bug=`?`| wer=*path doc=`?`&]
+  |%
+  ++  gash  %+  cook                                    ::  parse path
+              |=  a=(list tyke)  ^-  tyke
+              ?~(a ~ (weld i.a $(a t.a)))
+            (more fas limp)
+  ++  gasp  ;~  pose                                    ::  parse =path= etc.
+              %+  cook
+                |=([a=tyke b=tyke c=tyke] :(weld a b c))
+              ;~  plug
+                (cook |=(a=(list) (turn a |=(b=* ~))) (star tis))
+                (cook |=(a=hoon [[~ a] ~]) hasp)
+                (cook |=(a=(list) (turn a |=(b=* ~))) (star tis))
+              ==
+              (cook |=(a=(list) (turn a |=(b=* ~))) (plus tis))
+            ==
+  ++  glam  ~+((glue ace))
+  ++  hasp  ;~  pose                                    ::  path element
+              (ifix [sel ser] wide)
+              (stag %cncl (ifix [pal par] (most ace wide)))
+              (stag %sand (stag %tas (cold %$ buc)))
+              (stag %sand (stag %t qut))
+              %+  cook
+                |=(a=coin [%sand ?:(?=([~ %tas *] a) %tas %ta) ~(rent co a)])
+              nuck:so
+            ==
+  ++  limp  %+  cook
+              |=  [a=(list) b=tyke]
+              ?~  a  b
+              $(a t.a, b [`[%sand %tas %$] b])
+            ;~(plug (star fas) gasp)
+  ++  mota  %+  cook
+              |=([a=tape b=tape] (rap 3 (weld a b)))
+            ;~(plug (star low) (star hig))
+  ++  docs
+    |%
+    ::  +apex: prefix comment. may contain batch comments.
+    ::
+    ::    when a prefix doccord is parsed, it is possible that there is no +gap
+    ::    afterward to be consumed, so we add an additional newline and
+    ::    decrement the line number in the `hair` of the parser
+    ::
+    ::    the reason for this is that the whitespace parsing under +vast seems
+    ::    to factor more cleanly this way, at least compared to the variations
+    ::    tried without the extra newline. this doesn't mean there isn't a
+    ::    better factorization without it, though.
+    ++  apex
+      ?.  doc  (easy *whit)
+      %+  knee  *whit  |.  ~+
+      ;~  plug
+        |=  tub=nail
+        =/  vex
+          %.  tub
+          %-  star
+          %+  cook  |*([[a=* b=*] c=*] [a b c])
+          ;~(pfix (punt leap) into ;~(pose larg smol))
+        ?~  q.vex  vex
+        :-  p=p.vex
+        %-  some
+        ?~  p.u.q.vex
+          [p=~ q=q.u.q.vex]
+        :-  p=(malt p.u.q.vex)
+        q=`nail`[[(dec p.p.q.u.q.vex) q.p.q.u.q.vex] ['\0a' q.q.u.q.vex]]
+      ==
+    ::
+    ::  +apse: postfix comment.
+    ::
+    ::    a one line comment at the end of a line (typically starting at column
+    ::    57) that attaches to the expression starting at the beginning of the
+    ::    current line. does not use a $link.
+    ++  apse
+      ?.  doc  (easy *whiz)
+      %+  knee  *whiz  |.  ~+
+      ;~  pose
+        ;~(less ;~(plug into step en-link col ace) ;~(pfix into step line))
+      ::
+        (easy *whiz)
+      ==
+    ::
+    ++  leap                                            ::  whitespace w/o docs
+      %+  cold  ~
+      ;~  plug
+        ;~  pose
+          (just '\0a')
+          ;~(plug gah ;~(pose gah skip))
+          skip
+        ==
+        (star ;~(pose skip gah))
+      ==
+    ::
+    ::  +smol: 2 aces then summary, 4 aces then paragraphs.
+    ++  smol
+      ;~  pfix
+        step
+        ;~  plug
+          ;~  plug
+            (plus en-link)
+            ;~  pose
+              (ifix [;~(plug col ace) (just '\0a')] (cook crip (plus prn)))
+              (ifix [(star ace) (just '\0a')] (easy *cord))
+            ==
+          ==
+          (rant ;~(pfix step step text))
+        ==
+      ==
+    ::
+    ::  +larg: 4 aces then summary, 2 aces then paragraphs.
+    ++  larg
+      ;~  pfix
+        step  step
+        ;~  plug
+          ;~  sfix
+            ;~  plug
+              ;~  pose
+                ;~(sfix (plus en-link) col ace)
+                ;~(less ace (easy *cuff))
+              ==
+              ;~(less ace (cook crip (plus prn)))
+            ==
+            (just '\0a')
+          ==
+          (rant ;~(pfix step teyt))
+        ==
+      ==
+    ::
+    ++  rant
+      |*  sec=rule
+      %-  star
+      ;~  pfix
+        (ifix [into (just '\0a')] (star ace))
+        (plus (ifix [into (just '\0a')] sec))
+      ==
+    ::
+    ++  skip                                            ::  non-doccord comment
+      ;~  plug
+        col  col
+        ;~(less ;~(pose larg smol) ;~(plug (star prn) (just '\0a')))
+      ==
+    ::
+    ++  null  (cold ~ (star ace))
+    ++  text  (pick line code)
+    ++  teyt  (pick line ;~(pfix step code))
+    ++  line  ;~(less ace (cook crip (star prn)))
+    ++  code  ;~(pfix step ;~(less ace (cook crip (star prn))))
+    ++  step  ;~(plug ace ace)
+    ::
+    ++  into
+      ;~(plug (star ace) col col)
+    ::
+    ++  en-link
+      |=  a=nail  %.  a
+      %+  knee  *link  |.  ~+
+      %-  stew
+      ^.  stet  ^.  limo
+      :~  :-  '|'  ;~(pfix bar (stag %chat sym))
+          :-  '.'  ;~(pfix dot (stag %frag sym))
+          :-  '+'  ;~(pfix lus (stag %funk sym))
+          :-  '$'  ;~(pfix buc (stag %plan sym))
+          :-  '%'  ;~(pfix cen (stag %cone bisk:so))
+      ==
+    --
+  ::
+  ++  clad                                              ::  hoon doccords
+    |*  fel=rule
+    %+  cook
+      |=  [a=whit b=hoon c=whiz]
+      =?  b  !=(c *whiz)
+        [%note help/`[c]~ b]
+      =+  docs=~(tap by bat.a)
+      |-
+      ?~  docs  b
+      $(docs t.docs, b [%note help/i.docs b])
+    (seam fel)
+  ++  coat                                              ::  spec doccords
+    |*  fel=rule
+    %+  cook
+      |=  [a=whit b=spec c=whiz]
+      =?  b  !=(c *whiz)
+        [%gist help/`[c]~ b]
+      =+  docs=~(tap by bat.a)
+      |-
+      ?~  docs  b
+      $(docs t.docs, b [%gist help/i.docs b])
+    (seam fel)
+  ++  scye                                              ::  with prefix doccords
+    |*  fel=rule
+    ;~(pose ;~(plug apex:docs ;~(pfix gap fel)) ;~(plug (easy *whit) fel))
+  ++  seam                                              ::  with doccords
+    |*  fel=rule
+    (scye ;~(plug fel apse:docs))
+  ::
+  ++  plex                                              ::  reparse static path
+    |=  gen=hoon  ^-  (unit path)
+    ?:  ?=([%dbug *] gen)                               ::  unwrap %dbug
+      $(gen q.gen)
+    ?.  ?=([%clsg *] gen)  ~                            ::  require :~ hoon
+    %+  reel  p.gen                                     ::  build using elements
+    |=  [a=hoon b=_`(unit path)`[~ u=/]]                ::  starting from just /
+    ?~  b  ~
+    ?.  ?=([%sand ?(%ta %tas) @] a)  ~                  ::  /foo constants
+    `[q.a u.b]
+  ::
+  ++  phax
+    |=  ruw=(list (list woof))
+    =+  [yun=*(list hoon) cah=*(list @)]
+    =+  wod=|=([a=tape b=(list hoon)] ^+(b ?~(a b [[%mcfs %knit (flop a)] b])))
+    |-  ^+  yun
+    ?~  ruw
+      (flop (wod cah yun))
+    ?~  i.ruw  $(ruw t.ruw)
+    ?@  i.i.ruw
+      $(i.ruw t.i.ruw, cah [i.i.ruw cah])
+    $(i.ruw t.i.ruw, cah ~, yun [p.i.i.ruw (wod cah yun)])
+  ::
+  ++  posh
+    |=  [pre=(unit tyke) pof=(unit [p=@ud q=tyke])]
+    ^-  (unit (list hoon))
+    =-  ?^(- - ~&(%posh-fail -))
+    =+  wom=(poof wer)
+    %+  biff
+      ?~  pre  `u=wom
+      %+  bind  (poon wom u.pre)
+      |=  moz=(list hoon)
+      ?~(pof moz (weld moz (slag (lent u.pre) wom)))
+    |=  yez=(list hoon)
+    ?~  pof  `yez
+    =+  zey=(flop yez)
+    =+  [moz=(scag p.u.pof zey) gul=(slag p.u.pof zey)]
+    =+  zom=(poon (flop moz) q.u.pof)
+    ?~(zom ~ `(weld (flop gul) u.zom))
+  ::
+  ++  poof                                              ::  path -> (list hoon)
+    |=(pax=path ^-((list hoon) (turn pax |=(a=@ta [%sand %ta a]))))
+  ::
+  ::  tyke is =foo== as ~[~ `foo ~ ~]
+  ::  interpolate '=' path components
+  ++  poon                                              ::  try to replace '='s
+    |=  [pag=(list hoon) goo=tyke]                      ::    default to pag
+    ^-  (unit (list hoon))                              ::    for null goo's
+    ?~  goo  `~                                         ::  keep empty goo
+    %+  both                                            ::  otherwise head comes
+      ?^(i.goo i.goo ?~(pag ~ `u=i.pag))                ::    from goo or pag
+    $(goo t.goo, pag ?~(pag ~ t.pag))                   ::  recurse on tails
+  ::
+  ++  poor
+    %+  sear  posh
+    ;~  plug
+      (stag ~ gash)
+      ;~(pose (stag ~ ;~(pfix cen porc)) (easy ~))
+    ==
+  ::
+  ++  porc
+    ;~  plug
+      (cook |=(a=(list) (lent a)) (star cen))
+      ;~(pfix fas gash)
+    ==
+  ::
+  ++  rump
+    %+  sear
+      |=  [a=wing b=(unit hoon)]  ^-  (unit hoon)
+      ?~(b [~ %wing a] ?.(?=([@ ~] a) ~ [~ [%rock %tas i.a] u.b]))
+    ;~(plug rope ;~(pose (stag ~ wede) (easy ~)))
+  ::
+  ++  rood
+    ;~  pfix  fas
+      (stag %clsg poor)
+    ==
+  ::
+  ++  reed
+    ;~  pfix  fas
+      (stag %clsg (more fas stem))
+    ==
+  ::
+  ++  stem
+    %+  knee  *hoon  |.  ~+
+    %+  cook
+      |=  iota=$%([%hoon =hoon] iota)
+      ?@  iota  [%rock %tas iota]
+      ?:  ?=(%hoon -.iota)  hoon.iota
+      [%clhp [%rock %tas -.iota] [%sand iota]]
+    |^  %-  stew
+      ^.  stet  ^.  limo
+      :~  :-  'a'^'z'  ;~  pose
+                         (spit (stag %cncl (ifix [pal par] (most ace wide))))
+                         (spit (ifix [sel ser] wide))
+                         (slot sym)
+                       ==
+          :-  '$'      (cold %$ buc)
+          :-  '0'^'9'  (slot bisk:so)
+          :-  '-'      (slot tash:so)
+          :-  '.'      ;~(pfix dot zust:so)
+          :-  '~'      (slot ;~(pfix sig ;~(pose crub:so (easy [%n ~]))))
+          :-  '\''     (stag %t qut)
+          :-  '['      (slip (ifix [sel ser] wide))
+          :-  '('      (slip (stag %cncl (ifix [pal par] (most ace wide))))
+      ==
+    ::
+    ++  slip  |*(r=rule (stag %hoon r))
+    ++  slot  |*(r=rule (sear (soft iota) r))
+    ++  spit
+      |*  r=rule
+      %+  stag  %hoon
+      %+  cook
+        |*([a=term b=*] `hoon`[%clhp [%rock %tas a] b])
+      ;~((glue lus) sym r)
+    --
+  ::
+  ++  rupl
+    %+  cook
+      |=  [a=? b=(list hoon) c=?]
+      ?:  a
+        ?:  c
+          [%clsg [%clsg b] ~]
+        [%clsg b]
+      ?:  c
+        [%clsg [%cltr b] ~]
+      [%cltr b]
+    ;~  plug
+      ;~  pose
+        (cold | (just '['))
+        (cold & (jest '~['))
+      ==
+    ::
+      ;~  pose
+        (ifix [ace gap] (most gap tall))
+        (most ace wide)
+      ==
+    ::
+      ;~  pose
+        (cold & (jest ']~'))
+        (cold | (just ']'))
+      ==
+    ==
+  ::
+  ::
+  ++  sail                                              ::  xml template
+    |=  in-tall-form=?  =|  lin=?
+    |%
+    ::
+    ++  apex                                            ::  product hoon
+      %+  cook
+        |=  tum=(each manx:hoot marl:hoot)  ^-  hoon
+        ?-  -.tum
+          %&  [%xray p.tum]
+          %|  [%mcts p.tum]
+        ==
+      top-level
+    ::
+    ++  top-level                                       ::  entry-point
+      ;~(pfix mic ?:(in-tall-form tall-top wide-top))
+    ::
+    ++  inline-embed                                    ::  brace interpolation
+      %+  cook  |=(a=tuna:hoot a)
+      ;~  pose
+        ;~(pfix mic bracketed-elem(in-tall-form |))
+        ;~(plug tuna-mode sump)
+        (stag %tape sump)
+      ==
+    ::
+    ++  script-or-style                                 ::  script or style
+      %+  cook  |=(a=marx:hoot a)
+      ;~  plug
+        ;~(pose (jest %script) (jest %style))
+        wide-attrs
+      ==
+    ::
+    ++  tuna-mode                                       ::  xml node(s) kind
+      ;~  pose
+        (cold %tape hep)
+        (cold %manx lus)
+        (cold %marl tar)
+        (cold %call cen)
+      ==
+    ::
+    ++  wide-top                                        ::  wide outer top
+      %+  knee  *(each manx:hoot marl:hoot)  |.  ~+
+      ;~  pose
+        (stag %| wide-quote)
+        (stag %| wide-paren-elems)
+        (stag %& ;~(plug tag-head wide-tail))
+      ==
+    ::
+    ++  wide-inner-top                                  ::  wide inner top
+      %+  knee  *(each tuna:hoot marl:hoot)  |.  ~+
+      ;~  pose
+        wide-top
+        (stag %& ;~(plug tuna-mode wide))
+      ==
+    ::
+    ++  wide-attrs                                      ::  wide attributes
+      %+  cook  |=(a=(unit mart:hoot) (fall a ~))
+      %-  punt
+      %+  ifix  [pal par]
+      %+  more  (jest ', ')
+      ;~((glue ace) a-mane hopefully-quote)
+    ::
+    ++  wide-tail                                       ::  wide elements
+      %+  cook  |=(a=marl:hoot a)
+      ;~(pose ;~(pfix col wrapped-elems) (cold ~ mic) (easy ~))
+    ::
+    ++  wide-elems                                      ::  wide elements
+      %+  cook  |=(a=marl:hoot a)
+      %+  cook  join-tops
+      (star ;~(pfix ace wide-inner-top))
+    ::
+    ++  wide-paren-elems                                ::  wide flow
+      %+  cook  |=(a=marl:hoot a)
+      %+  cook  join-tops
+      (ifix [pal par] (more ace wide-inner-top))
+    ::
+    ::+|
+    ::
+    ++  drop-top
+      |=  a=(each tuna:hoot marl:hoot)  ^-  marl:hoot
+      ?-  -.a
+        %&  [p.a]~
+        %|  p.a
+      ==
+    ::
+    ++  join-tops
+      |=  a=(list (each tuna:hoot marl:hoot))  ^-  marl:hoot
+      (zing (turn a drop-top))
+    ::
+    ::+|
+    ::
+    ++  wide-quote                                      ::  wide quote
+      %+  cook  |=(a=marl:hoot a)
+      ;~  pose
+        ;~  less  (jest '"""')
+          (ifix [doq doq] (cook collapse-chars quote-innards))
+        ==
+      ::
+        %-  inde
+        %+  ifix  [(jest '"""\0a') (jest '\0a"""')]
+        (cook collapse-chars quote-innards(lin |))
+      ==
+    ::
+    ++  quote-innards                                   ::  wide+tall flow
+      %+  cook  |=(a=(list $@(@ tuna:hoot)) a)
+      %-  star
+      ;~  pose
+        ;~(pfix bas ;~(pose (mask "-+*%;\{") bas doq bix:ab))
+        inline-embed
+        ;~(less bas kel ?:(in-tall-form fail doq) prn)
+        ?:(lin fail ;~(less (jest '\0a"""') (just '\0a')))
+      ==
+    ::
+    ++  bracketed-elem                                  ::  bracketed element
+      %+  ifix  [kel ker]
+      ;~(plug tag-head wide-elems)
+    ::
+    ++  wrapped-elems                                   ::  wrapped tuna
+      %+  cook  |=(a=marl:hoot a)
+      ;~  pose
+        wide-paren-elems
+        (cook |=(@t `marl`[;/((trip +<))]~) qut)
+        (cook drop-top wide-top)
+      ==
+    ::
+    ++  a-mane                                          ::  mane as hoon
+      %+  cook
+        |=  [a=@tas b=(unit @tas)]
+        ?~(b a [a u.b])
+      ;~  plug
+        mixed-case-symbol
+        ;~  pose
+          %+  stag  ~
+            ;~(pfix cab mixed-case-symbol)
+          (easy ~)
+        ==
+      ==
+    ::
+    ++  en-class
+      |=  a=(list [%class p=term])
+      ^-  (unit [%class tape])
+      ?~  a  ~
+      %-  some
+      :-  %class
+      |-
+      %+  welp  (trip p.i.a)
+      ?~  t.a  ~
+      [' ' $(a t.a)]
+    ::
+    ++  tag-head                                        ::  tag head
+      %+  cook
+        |=  [a=mane:hoot b=mart:hoot c=mart:hoot]
+        ^-  marx:hoot
+        [a (weld b c)]
+      ;~  plug
+        a-mane
+      ::
+        %+  cook
+          |=  a=(list (unit [term (list beer:hoot)]))
+          ^-  (list [term (list beer:hoot)])
+          :: discard nulls
+          (murn a same)
+        ;~  plug
+          (punt ;~(plug (cold %id hax) (cook trip sym)))
+          (cook en-class (star ;~(plug (cold %class dot) sym)))
+          (punt ;~(plug ;~(pose (cold %href fas) (cold %src pat)) soil))
+          (easy ~)
+        ==
+      ::
+        wide-attrs
+      ==
+    ::
+    ++  tall-top                                        ::  tall top
+      %+  knee  *(each manx:hoot marl:hoot)  |.  ~+
+      ;~  pose
+        (stag %| ;~(pfix (plus ace) (cook collapse-chars quote-innards)))
+        (stag %& ;~(plug script-or-style script-style-tail))
+        (stag %& tall-elem)
+        (stag %| wide-quote)
+        (stag %| ;~(pfix tis tall-tail))
+        (stag %& ;~(pfix gar gap (stag [%div ~] cram)))
+        (stag %| ;~(plug ;~((glue gap) tuna-mode tall) (easy ~)))
+        (easy %| [;/("\0a")]~)
+      ==
+    ::
+    ++  tall-attrs                                      ::  tall attributes
+      %-  star
+      ;~  pfix  ;~(plug gap tis)
+        ;~((glue gap) a-mane hopefully-quote)
+      ==
+    ::
+    ++  tall-elem                                       ::  tall preface
+      %+  cook
+        |=  [a=[p=mane:hoot q=mart:hoot] b=mart:hoot c=marl:hoot]
+        ^-  manx:hoot
+        [[p.a (weld q.a b)] c]
+      ;~(plug tag-head tall-attrs tall-tail)
+    ::
+    ::REVIEW is there a better way to do this?
+    ++  hopefully-quote                                 :: prefer "quote" form
+      %+  cook  |=(a=(list beer:hoot) a)
+      %+  cook  |=(a=hoon ?:(?=(%knit -.a) p.a [~ a]~))
+      wide
+    ::
+    ++  script-style-tail                               ::  unescaped tall tail
+      %+  cook  |=(a=marl:hoot a)
+      %+  ifix  [gap ;~(plug gap duz)]
+      %+  most  gap
+      ;~  pfix  mic
+        %+  cook  |=(a=tape ;/(a))
+        ;~  pose
+          ;~(pfix ace (star prn))
+          (easy "\0a")
+        ==
+      ==
+    ::
+    ++  tall-tail                                       ::  tall tail
+      ?>  in-tall-form
+      %+  cook  |=(a=marl:hoot a)
+      ;~  pose
+        (cold ~ mic)
+        ;~(pfix col wrapped-elems(in-tall-form |))
+        ;~(pfix col ace (cook collapse-chars(in-tall-form |) quote-innards))
+        (ifix [gap ;~(plug gap duz)] tall-kids)
+      ==
+    ::
+    ++  tall-kids                                       ::  child elements
+      %+  cook  join-tops
+      ::  look for sail first, or markdown if not
+      (most gap ;~(pose top-level (stag %| cram)))
+    ::
+    ++  collapse-chars                                  ::  group consec chars
+      |=  reb=(list $@(@ tuna:hoot))
+      ^-  marl:hoot
+      =|  [sim=(list @) tuz=marl:hoot]
+      |-  ^-  marl:hoot
+      ?~  reb
+        =.  sim
+          ?.  in-tall-form   sim
+          [10 |-(?~(sim sim ?:(=(32 i.sim) $(sim t.sim) sim)))]
+        ?~(sim tuz [;/((flop sim)) tuz])
+      ?@  i.reb
+        $(reb t.reb, sim [i.reb sim])
+      ?~  sim  [i.reb $(reb t.reb, sim ~)]
+      [;/((flop sim)) i.reb $(reb t.reb, sim ~)]
+    --
+  ++  cram                                              ::  parse unmark
+    =>  |%
+        ++  item  (pair mite marl:hoot)                 ::  xml node generator
+        ++  colm  @ud                                   ::  column
+        ++  tarp  marl:hoot                             ::  node or generator
+        ++  mite                                        ::  context
+          $?  %down                                     ::  outer embed
+              %lunt                                     ::  unordered list
+              %lime                                     ::  list item
+              %lord                                     ::  ordered list
+              %poem                                     ::  verse
+              %bloc                                     ::  blockquote
+              %head                                     ::  heading
+          ==                                            ::
+        ++  trig                                        ::  line style
+          $:  col=@ud                                   ::  start column
+              sty=trig-style                            ::  style
+          ==                                            ::
+        ++  trig-style                                  ::  type of parsed line
+          $%  $:  %end                                  ::  terminator
+          $?  %done                                     ::  end of input
+                  %stet                                 ::    == end of markdown
+                  %dent                                 ::    outdent
+              ==  ==                                    ::
+              $:  %one                                  ::  leaf node
+              $?  %rule                                 ::    --- horz rule
+                  %fens                                 ::    ``` code fence
+                  %expr                                 ::    ;sail expression
+              ==  ==                                    ::
+              [%new p=trig-new]                         ::  open container
+              [%old %text]                              ::  anything else
+          ==                                            ::
+        ++  trig-new                                    ::  start a
+          $?  %lite                                     ::    + line item
+              %lint                                     ::    - line item
+              %head                                     ::  # heading
+              %bloc                                     ::  > block-quote
+              %poem                                     ::    [ ]{8} poem
+          ==                                            ::
+        ++  graf                                        ::  paragraph element
+          $%  [%bold p=(list graf)]                     ::  *bold*
+              [%talc p=(list graf)]                     ::  _italics_
+              [%quod p=(list graf)]                     ::  "double quote"
+              [%code p=tape]                            ::  code literal
+              [%text p=tape]                            ::  text symbol
+              [%link p=(list graf) q=tape]              ::  URL
+              [%mage p=tape q=tape]                     ::  image
+              [%expr p=tuna:hoot]                       ::  interpolated hoon
+          ==
+        --
+    =<  (non-empty:parse |=(nail `(like tarp)`~($ main +<)))
+    |%
+    ++  main
+      ::
+      ::    state of the parsing loop.
+      ::
+      ::  we maintain a construction stack for elements and a line
+      ::  stack for lines in the current block.  a blank line
+      ::  causes the current block to be parsed and thrown in the
+      ::  current element.  when the indent column retreats, the
+      ::  element stack rolls up.
+      ::
+      ::  .verbose: debug printing enabled
+      ::  .err: error position
+      ::  .ind: outer and inner indent level
+      ::  .hac: stack of items under construction
+      ::  .cur: current item under construction
+      ::  .par: current "paragraph" being read in
+      ::  .[loc txt]: parsing state
+      ::
+      =/  verbose  &
+      =|  err=(unit hair)
+      =|  ind=[out=@ud inr=@ud]
+      =|  hac=(list item)
+      =/  cur=item  [%down ~]
+      =|  par=(unit (pair hair wall))
+      |_  [loc=hair txt=tape]
+      ::
+      ++  $                                           ::  resolve
+        ^-  (like tarp)
+        =>  line
+        ::
+        ::  if error position is set, produce error
+        ?.  =(~ err)
+          ~&  err+err
+          [+.err ~]
+        ::
+        ::  all data was consumed
+        =-  [loc `[- [loc txt]]]
+        =>  close-par
+        |-  ^-  tarp
+        ::
+        ::  fold all the way to top
+        ?~  hac  cur-to-tarp
+        $(..^$ close-item)
+      ::
+      ::+|
+      ::
+      ++  cur-indent
+        ?-  p.cur
+          %down  2
+          %head  0
+          %lunt  0
+          %lime  2
+          %lord  0
+          %poem  8
+          %bloc  2
+        ==
+      ::
+      ++  back                                          ::  column retreat
+        |=  luc=@ud
+        ^+  +>
+        ?:  (gte luc inr.ind)  +>
+        ::
+        ::  nex: next backward step that terminates this context
+        =/  nex=@ud  cur-indent  ::  REVIEW code and poem blocks are
+                                 ::  handled elsewhere
+        ?:  (gth nex (sub inr.ind luc))
+          ::
+          ::  indenting pattern violation
+          ~?  verbose  indent-pattern-violation+[p.cur nex inr.ind luc]
+          ..^$(inr.ind luc, err `[p.loc luc])
+        =.  ..^$  close-item
+        $(inr.ind (sub inr.ind nex))
+      ::
+      ++  cur-to-tarp                                   ::  item to tarp
+        ^-  tarp
+        ?:  ?=(?(%down %head %expr) p.cur)
+          (flop q.cur)
+        =-  [[- ~] (flop q.cur)]~
+        ?-  p.cur
+          %lunt  %ul
+          %lord  %ol
+          %lime  %li
+          %poem  %div ::REVIEW actual container element?
+          %bloc  %blockquote
+        ==
+      ::
+      ++  close-item  ^+  .                             ::  complete and pop
+        ?~  hac  .
+        %=  .
+          hac  t.hac
+          cur  [p.i.hac (weld cur-to-tarp q.i.hac)]
+        ==
+      ::
+      ++  read-line                                     ::  capture raw line
+        =|  lin=tape
+        |-  ^+  [[lin *(unit _err)] +<.^$]  :: parsed tape and halt/error
+        ::
+        ::  no unterminated lines
+        ?~  txt
+          ~?  verbose  %unterminated-line
+          [[~ ``loc] +<.^$]
+        ?.  =(`@`10 i.txt)
+          ?:  (gth inr.ind q.loc)
+            ?.  =(' ' i.txt)
+              ~?  verbose  expected-indent+[inr.ind loc txt]
+              [[~ ``loc] +<.^$]
+            $(txt t.txt, q.loc +(q.loc))
+          ::
+          ::  save byte and repeat
+          $(txt t.txt, q.loc +(q.loc), lin [i.txt lin])
+        =.  lin
+        ::
+        ::  trim trailing spaces
+        |-  ^-  tape
+          ?:  ?=([%' ' *] lin)
+            $(lin t.lin)
+          (flop lin)
+          ::
+        =/  eat-newline=nail  [[+(p.loc) 1] t.txt]
+        =/  saw  look(+<.$ eat-newline)
+        ::
+        ?:  ?=([~ @ %end ?(%stet %dent)] saw)           ::  stop on == or dedent
+          [[lin `~] +<.^$]
+        [[lin ~] eat-newline]
+      ::
+      ++  look                                          ::  inspect line
+        ^-  (unit trig)
+        %+  bind  (wonk (look:parse loc txt))
+        |=  a=trig  ^+  a
+        ::
+        ::  treat a non-terminator as a terminator
+        ::  if it's outdented
+        ?:  =(%end -.sty.a)  a
+        ?:  (lth col.a out.ind)
+          a(sty [%end %dent])
+        a
+      ::
+      ++  close-par                                     ::  make block
+        ^+  .
+        ::
+        ::  empty block, no action
+        ?~  par  .
+        ::
+        ::  if block is verse
+        ?:  ?=(%poem p.cur)
+          ::
+          ::  add break between stanzas
+          =.  q.cur  ?~(q.cur q.cur [[[%br ~] ~] q.cur])
+          =-  close-item(par ~, q.cur (weld - q.cur), inr.ind (sub inr.ind 8))
+          %+  turn  q.u.par
+          |=  tape  ^-  manx
+          ::
+          ::  each line is a paragraph
+          :-  [%p ~]
+          :_  ~
+          ;/("{+<}\0a")
+        ::
+        ::  yex: block recomposed, with newlines
+        =/  yex=tape
+          %-  zing
+          %+  turn  (flop q.u.par)
+          |=  a=tape
+          (runt [(dec inr.ind) ' '] "{a}\0a")
+        ::
+        ::  vex: parse of paragraph
+        =/  vex=(like tarp)
+          ::
+          ::  either a one-line header or a paragraph
+          %.  [p.u.par yex]
+          ?:  ?=(%head p.cur)
+            (full head:parse)
+          (full para:parse)
+        ::
+        ::  if error, propagate correctly
+        ?~  q.vex
+          ~?  verbose  [%close-par p.cur yex]
+          ..$(err `p.vex)
+        ::
+        ::  finish tag if it's a header
+        =<  ?:(?=(%head p.cur) close-item ..$)
+        ::
+        ::  save good result, clear buffer
+        ..$(par ~, q.cur (weld p.u.q.vex q.cur))
+      ::
+      ++  line  ^+  .                                   ::  body line loop
+        ::
+        ::  abort after first error
+        ?:  !=(~ err)  .
+        ::
+        ::  saw: profile of this line
+        =/  saw  look
+        ~?  [debug=|]  [%look ind=ind saw=saw txt=txt]
+        ::
+        ::  if line is blank
+        ?~  saw
+          ::
+          ::  break section
+          =^  a=[tape fin=(unit _err)]  +<.$  read-line
+          ?^  fin.a
+            ..$(err u.fin.a)
+          =>(close-par line)
+        ::
+        ::  line is not blank
+        =>  .(saw u.saw)
+        ::
+        ::  if end of input, complete
+        ?:  ?=(%end -.sty.saw)
+          ..$(q.loc col.saw)
+        ::
+        =.  ind  ?~(out.ind [col.saw col.saw] ind)      ::  init indents
+        ::
+        ?:  ?|  ?=(~ par)                          :: if after a paragraph or
+                ?&  ?=(?(%down %lime %bloc) p.cur)  :: unspaced new container
+                    |(!=(%old -.sty.saw) (gth col.saw inr.ind))
+            ==  ==
+          =>  .(..$ close-par)
+            ::
+          ::  if column has retreated, adjust stack
+          =.  ..$  (back col.saw)
+            ::
+          =^  col-ok  sty.saw
+            ?+  (sub col.saw inr.ind)  [| sty.saw]      :: columns advanced
+              %0  [& sty.saw]
+              %8  [& %new %poem]
+            ==
+          ?.  col-ok
+            ~?  verbose  [%columns-advanced col.saw inr.ind]
+            ..$(err `[p.loc col.saw])
+        ::
+          =.  inr.ind  col.saw
+      ::
+          ::  unless adding a matching item, close lists
+          =.  ..$
+            ?:  ?|  &(?=(%lunt p.cur) !?=(%lint +.sty.saw))
+                    &(?=(%lord p.cur) !?=(%lite +.sty.saw))
+                ==
+              close-item
+            ..$
+        ::
+          =<  line(par `[loc ~])  ^+  ..$               ::  continue with para
+          ?-    -.sty.saw
+              %one  (read-one +.sty.saw)                ::  parse leaves
+              %new  (open-item p.sty.saw)               ::  open containers
+              %old  ..$                                 ::  just text
+          ==
+        ::
+        ::
+        ::- - - foo
+        ::  detect bad block structure
+        ?.  ::  first line of container is legal
+            ?~  q.u.par  &
+            ?-  p.cur
+        ::
+            ::  can't(/directly) contain text
+              ?(%lord %lunt)  ~|(bad-leaf-container+p.cur !!)
+        ::
+            ::  only one line in a header
+              %head  |
+          ::
+            ::  indented literals need to end with a blank line
+              %poem  (gte col.saw inr.ind)
+        ::
+            ::  text tarps must continue aligned
+              ?(%down %lunt %lime %lord %bloc)  =(col.saw inr.ind)
+          ==
+          ~?  verbose  bad-block-structure+[p.cur inr.ind col.saw]
+          ..$(err `[p.loc col.saw])
+        ::
+        ::  accept line and maybe continue
+        =^  a=[lin=tape fin=(unit _err)]  +<.$  read-line
+        =.  par  par(q.u [lin.a q.u.par])
+        ?^  fin.a  ..$(err u.fin.a)
+        line
+      ++  parse-block                                   ::  execute parser
+        |=  fel=$-(nail (like tarp))  ^+  +>
+        =/  vex=(like tarp)  (fel loc txt)
+        ?~  q.vex
+          ~?  verbose  [%parse-block txt]
+          +>.$(err `p.vex)
+        =+  [res loc txt]=u.q.vex
+        %_  +>.$
+          loc  loc
+          txt  txt
+          q.cur  (weld (flop `tarp`res) q.cur)          ::  prepend to the stack
+        ==
+      ::
+      ++  read-one                                      ::  read %one item
+        |=  sty=?(%expr %rule %fens)  ^+  +>
+        ?-  sty
+          %expr  (parse-block expr:parse)
+          %rule  (parse-block hrul:parse)
+          %fens  (parse-block (fens:parse inr.ind))
+        ==
+      ::
+      ++  open-item                                     ::  enter list/quote
+        |=  saw=trig-new
+        =<  +>.$:apex
+        |%
+        ++  apex  ^+  .                                 ::  open container
+          ?-  saw
+            %poem  (push %poem)                         ::  verse literal
+            %head  (push %head)                         ::  heading
+            %bloc  (entr %bloc)                         ::  blockquote line
+            %lint  (lent %lunt)                         ::  unordered list
+            %lite  (lent %lord)                         ::  ordered list
+          ==
+        ::
+        ++  push                                        ::  push context
+          |=(mite +>(hac [cur hac], cur [+< ~]))
+        ::
+        ++  entr                                        ::  enter container
+          |=  typ=mite
+          ^+  +>
+          ::
+          ::  indent by 2
+          =.  inr.ind  (add 2 inr.ind)
+          ::
+          ::  "parse" marker
+          =.  txt  (slag (sub inr.ind q.loc) txt)
+          =.  q.loc  inr.ind
+          ::
+          (push typ)
+        ::
+        ++  lent                                        ::  list entry
+          |=  ord=?(%lord %lunt)
+          ^+  +>
+          =>  ?:(=(ord p.cur) +>.$ (push ord))          ::  push list if new
+          (entr %lime)
+        --
+      --
+    ::
+    ++  parse                                           ::  individual parsers
+      |%
+      ++  look                                          ::  classify line
+        %+  cook  |=(a=(unit trig) a)
+        ;~  pfix  (star ace)
+          %+  here                                      ::  report indent
+            |=([a=pint b=?(~ trig-style)] ?~(b ~ `[q.p.a b]))
+          ;~  pose
+            (cold ~ (just `@`10))                       ::  blank line
+          ::
+            (full (easy [%end %done]))                  ::  end of input
+            (cold [%end %stet] duz)                     ::  == end of markdown
+          ::
+            (cold [%one %rule] ;~(plug hep hep hep))    ::  --- horizontal ruler
+            (cold [%one %fens] ;~(plug tic tic tic))    ::  ``` code fence
+            (cold [%one %expr] mic)                     ::  ;sail expression
+          ::
+            (cold [%new %head] ;~(plug (star hax) ace)) ::  # heading
+            (cold [%new %lint] ;~(plug hep ace))        ::  - line item
+            (cold [%new %lite] ;~(plug lus ace))        ::  + line item
+            (cold [%new %bloc] ;~(plug gar ace))        ::  > block-quote
+          ::
+            (easy [%old %text])                         ::  anything else
+          ==
+        ==
+      ::
+      ::
+      ++  calf                                          ::  cash but for tic tic
+        |*  tem=rule
+        %-  star
+        ;~  pose
+          ;~(pfix bas tem)
+          ;~(less tem prn)
+        ==
+      ++  cash                                          ::  escaped fence
+        |*  tem=rule
+        %-  echo
+        %-  star
+        ;~  pose
+          whit
+          ;~(plug bas tem)
+          ;~(less tem prn)
+        ==
+      ::
+      ++  cool                                          ::  reparse
+        |*  $:  ::  fex: primary parser
+                ::  sab: secondary parser
+                ::
+                fex=rule
+                sab=rule
+            ==
+        |=  [loc=hair txt=tape]
+        ^+  *sab
+        ::
+        ::  vex: fenced span
+        =/  vex=(like tape)  (fex loc txt)
+        ?~  q.vex  vex
+        ::
+        ::  hav: reparse full fenced text
+        =/  hav  ((full sab) [loc p.u.q.vex])
+        ::
+        ::  reparsed error position is always at start
+        ?~  q.hav  [loc ~]
+        ::
+        ::  the complete type with the main product
+        :-  p.vex
+        `[p.u.q.hav q.u.q.vex]
+      ::
+      ::REVIEW surely there is a less hacky "first or after space" solution
+      ++  easy-sol                                      ::  parse start of line
+        |*  a=*
+        |=  b=nail
+        ?:  =(1 q.p.b)  ((easy a) b)
+        (fail b)
+      ::
+      ++  echo                                          ::  hoon literal
+        |*  sab=rule
+        |=  [loc=hair txt=tape]
+        ^-  (like tape)
+        ::
+        ::  vex: result of parsing wide hoon
+        =/  vex  (sab loc txt)
+        ::
+        ::  use result of expression parser
+        ?~  q.vex  vex
+        =-  [p.vex `[- q.u.q.vex]]
+        ::
+        ::  but replace payload with bytes consumed
+        |-  ^-  tape
+        ?:  =(q.q.u.q.vex txt)  ~
+        ?~  txt  ~
+        [i.txt $(txt +.txt)]
+      ::
+      ++  non-empty
+        |*  a=rule
+        |=  tub=nail  ^+  (a)
+        =/  vex  (a tub)
+        ~!  vex
+        ?~  q.vex  vex
+        ?.  =(tub q.u.q.vex)  vex
+        (fail tub)
+      ::
+      ::
+      ++  word                                          ::  tarp parser
+        %+  knee  *(list graf)  |.  ~+
+        %+  cook
+          |=  a=$%(graf [%list (list graf)])
+          ^-  (list graf)
+          ?:(?=(%list -.a) +.a [a ~])
+        ;~  pose
+        ::
+        ::  ordinary word
+        ::
+          %+  stag  %text
+          ;~(plug ;~(pose low hig) (star ;~(pose nud low hig hep)))
+        ::
+        ::  naked \escape
+        ::
+          (stag %text ;~(pfix bas (cook trip ;~(less ace prn))))
+        ::
+        ::  trailing \ to add <br>
+        ::
+          (stag %expr (cold [[%br ~] ~] ;~(plug bas (just '\0a'))))
+        ::
+        ::  *bold literal*
+        ::
+          (stag %bold (ifix [tar tar] (cool (cash tar) werk)))
+        ::
+        ::  _italic literal_
+        ::
+          (stag %talc (ifix [cab cab] (cool (cash cab) werk)))
+        ::
+        ::  "quoted text"
+        ::
+          (stag %quod (ifix [doq doq] (cool (cash doq) werk)))
+        ::
+        ::  `classic markdown quote`
+        ::
+          (stag %code (ifix [tic tic] (calf tic)))
+        ::
+        ::  ++arm, +$arm, +*arm, ++arm:core, ...
+        ::
+          %+  stag  %code
+          ;~  plug
+            lus  ;~(pose lus buc tar)
+            low  (star ;~(pose nud low hep col))
+          ==
+        ::
+        ::  [arbitrary *content*](url)
+        ::
+          %+  stag  %link
+          ;~  (glue (punt whit))
+            (ifix [sel ser] (cool (cash ser) werk))
+            (ifix [pal par] (cash par))
+          ==
+        ::
+        ::  ![alt text](url)
+        ::
+          %+  stag  %mage
+          ;~  pfix  zap
+            ;~  (glue (punt whit))
+              (ifix [sel ser] (cash ser))
+              (ifix [pal par] (cash par))
+            ==
+          ==
+        ::
+        ::  #hoon
+        ::
+          %+  stag  %list
+          ;~  plug
+            (stag %text ;~(pose (cold " " whit) (easy-sol ~)))
+            (stag %code ;~(pfix hax (echo wide)))
+            ;~(simu whit (easy ~))
+          ==
+        ::
+        ::  direct hoon constant
+        ::
+          %+  stag  %list
+          ;~  plug
+            (stag %text ;~(pose (cold " " whit) (easy-sol ~)))
+          ::
+            %+  stag  %code
+            %-  echo
+            ;~  pose
+              ::REVIEW just copy in 0x... parsers directly?
+              ;~(simu ;~(plug (just '0') alp) bisk:so)
+            ::
+              tash:so
+              ;~(pfix dot perd:so)
+              ;~(pfix sig ;~(pose twid:so (easy [%$ %n 0])))
+              ;~(pfix cen ;~(pose sym buc pam bar qut nuck:so))
+            ==
+          ::
+            ;~(simu whit (easy ~))
+          ==
+        ::
+        ::  whitespace
+        ::
+          (stag %text (cold " " whit))
+        ::
+        ::  {interpolated} sail
+        ::
+          (stag %expr inline-embed:(sail |))
+        ::
+        ::  just a byte
+        ::
+          (stag %text (cook trip ;~(less ace prn)))
+        ==
+      ::
+      ++  werk  (cook zing (star word))                 ::  indefinite tarp
+      ::
+      ++  down                                          ::  parse inline tarp
+        %+  knee  *tarp  |.  ~+
+        =-  (cook - werk)
+        ::
+        ::  collect raw tarp into xml tags
+        |=  gaf=(list graf)
+        ^-  tarp
+        =<  main
+        |%
+        ++  main
+          ^-  tarp
+          ?~  gaf  ~
+          ?.  ?=(%text -.i.gaf)
+            (weld (item i.gaf) $(gaf t.gaf))
+          ::
+          ::  fip: accumulate text blocks
+          =/  fip=(list tape)  [p.i.gaf]~
+          |-  ^-  tarp
+          ?~  t.gaf  [;/((zing (flop fip))) ~]
+          ?.  ?=(%text -.i.t.gaf)
+            [;/((zing (flop fip))) ^$(gaf t.gaf)]
+          $(gaf t.gaf, fip :_(fip p.i.t.gaf))
+        ::
+        ++  item
+          |=  nex=graf
+          ^-  tarp  ::CHECK can be tuna:hoot?
+          ?-  -.nex
+            %text  !!  :: handled separately
+            %expr  [p.nex]~
+            %bold  [[%b ~] ^$(gaf p.nex)]~
+            %talc  [[%i ~] ^$(gaf p.nex)]~
+            %code  [[%code ~] ;/(p.nex) ~]~
+            %quod  ::
+                   ::  smart quotes
+                   %=    ^$
+                       gaf
+                     :-  [%text (tufa ~-~201c. ~)]
+                     %+  weld  p.nex
+                     `(list graf)`[%text (tufa ~-~201d. ~)]~
+                   ==
+            %link  [[%a [%href q.nex] ~] ^$(gaf p.nex)]~
+            %mage  [[%img [%src q.nex] ?~(p.nex ~ [%alt p.nex]~)] ~]~
+          ==
+        --
+      ::
+      ++  hrul                                          ::  empty besides fence
+        %+  cold  [[%hr ~] ~]~
+        ;~(plug (star ace) hep hep hep (star hep) (just '\0a'))
+      ::
+      ++  tics
+        ;~(plug tic tic tic (just '\0a'))
+      ::
+      ++  fens
+        |=  col=@u  ~+
+        =/  ind  (stun [(dec col) (dec col)] ace)
+        =/  ind-tics  ;~(plug ind tics)
+        %+  cook  |=(txt=tape `tarp`[[%pre ~] ;/(txt) ~]~)
+        ::
+        ::  leading outdent is ok since container may
+        ::  have already been parsed and consumed
+        %+  ifix  [;~(plug (star ace) tics) ind-tics]
+        %^  stir  ""  |=([a=tape b=tape] "{a}\0a{b}")
+        ;~  pose
+          %+  ifix  [ind (just '\0a')]
+          ;~(less tics (star prn))
+        ::
+          (cold "" ;~(plug (star ace) (just '\0a')))
+        ==
+      ::
+      ++  para                                          ::  paragraph
+        %+  cook
+          |=(a=tarp ?~(a ~ [[%p ~] a]~))
+        ;~(pfix (punt whit) down)
+      ::
+      ++  expr                                          ::  expression
+        =>  (sail &)                                    ::  tall-form
+        %+  ifix  [(star ace) ;~(simu gap (easy))]      ::  look-ahead for gap
+        (cook drop-top top-level)                       ::  list of tags
+        ::
+      ::
+      ++  whit                                          ::  whitespace
+        (cold ' ' (plus ;~(pose (just ' ') (just '\0a'))))
+      ::
+      ++  head                                          ::  parse heading
+        %+  cook
+          |=  [haxes=tape kids=tarp]  ^-  tarp
+          =/  tag  (crip 'h' <(lent haxes)>)            ::  e.g. ### -> %h3
+          =/  id  (contents-to-id kids)
+          [[tag [%id id]~] kids]~
+        ::
+        ;~(pfix (star ace) ;~((glue whit) (stun [1 6] hax) down))
+      ::
+      ++  contents-to-id                                ::  # text into elem id
+        |=  a=(list tuna:hoot)  ^-  tape
+        =;  raw=tape
+          %+  turn  raw
+          |=  @tD
+          ^-  @tD
+          ?:  ?|  &((gte +< 'a') (lte +< 'z'))
+                  &((gte +< '0') (lte +< '9'))
+              ==
+            +<
+          ?:  &((gte +< 'A') (lte +< 'Z'))
+            (add 32 +<)
+          '-'
+        ::
+        ::  collect all text in header tarp
+        |-  ^-  tape
+        ?~  a  ~
+        %+  weld
+          ^-  tape
+          ?-    i.a
+              [[%$ [%$ *] ~] ~]                       ::  text node contents
+            (murn v.i.a.g.i.a |=(a=beer:hoot ?^(a ~ (some a))))
+              [^ *]  $(a c.i.a)                         ::  concatenate children
+              [@ *]  ~                                  ::  ignore interpolation
+          ==
+        $(a t.a)
+      --
+    --
+  ::
+  ++  scad
+    %+  knee  *spec  |.  ~+
+    %-  stew
+    ^.  stet  ^.  limo
+    :~
+      :-  '_'
+        ;~(pfix cab (stag %bccb wide))
+      :-  ','
+        ;~(pfix com (stag %bcmc wide))
+      :-  '$'
+        (stag %like (most col rope))
+      :-  '%'
+        ;~  pose
+          ;~  pfix  cen
+            ;~  pose
+              (stag %leaf (stag %tas (cold %$ buc)))
+              (stag %leaf (stag %f (cold & pam)))
+              (stag %leaf (stag %f (cold | bar)))
+              (stag %leaf (stag %t qut))
+              (stag %leaf (sear |=(a=coin ?:(?=(%$ -.a) (some +.a) ~)) nuck:so))
+            ==
+          ==
+        ==
+      :-  '('
+        %+  cook  |=(spec +<)
+        %+  stag  %make
+        %+  ifix  [pal par]
+        ;~  plug
+          wide
+          ;~(pose ;~(pfix ace (most ace wyde)) (easy ~))
+        ==
+      :-  '['
+        (stag %bccl (ifix [sel ser] (most ace wyde)))
+      :-  '*'
+        (cold [%base %noun] tar)
+      :-  '/'
+        ;~(pfix fas (stag %loop ;~(pose (cold %$ buc) sym)))
+      :-  '@'
+        ;~(pfix pat (stag %base (stag %atom mota)))
+      :-  '?'
+        ;~  pose
+          %+  stag  %bcwt
+          ;~(pfix wut (ifix [pal par] (most ace wyde)))
+        ::
+          (cold [%base %flag] wut)
+        ==
+      :-  '~'
+        (cold [%base %null] sig)
+      :-  '!'
+        (cold [%base %void] ;~(plug zap zap))
+      :-  '^'
+        ;~  pose
+          (stag %like (most col rope))
+          (cold [%base %cell] ket)
+        ==
+      :-  '='
+        ;~  pfix  tis
+          %+  sear
+            |=  [=(unit term) =spec]
+            %+  bind
+              ~(autoname ax spec)
+            |=  =term
+            =*  name  ?~(unit term (cat 3 u.unit (cat 3 '-' term)))
+            [%bcts name spec]
+          ;~  pose
+            ;~(plug (stag ~ ;~(sfix sym tis)) wyde)
+            (stag ~ wyde)
+          ==
+        ==
+      :-  ['a' 'z']
+        ;~  pose
+          (stag %bcts ;~(plug sym ;~(pfix tis wyde)))
+          (stag %like (most col rope))
+        ==
+    ==
+  ::
+  ++  scat
+    %+  knee  *hoon  |.  ~+
+    %-  stew
+    ^.  stet  ^.  limo
+    :~
+      :-  ','
+        ;~  pose
+          (stag %ktcl ;~(pfix com wyde))
+          (stag %wing rope)
+        ==
+      :-  '!'
+        ;~  pose
+          (stag %wtzp ;~(pfix zap wide))
+          (stag %zpzp (cold ~ ;~(plug zap zap)))
+        ==
+      :-  '_'
+        ;~(pfix cab (stag %ktcl (stag %bccb wide)))
+      :-  '$'
+        ;~  pose
+          ;~  pfix  buc
+            ;~  pose
+              ::  XX: these are all obsolete in hoon 142
+              ::
+              (stag %leaf (stag %tas (cold %$ buc)))
+              (stag %leaf (stag %t qut))
+              (stag %leaf (sear |=(a=coin ?:(?=(%$ -.a) (some +.a) ~)) nuck:so))
+            ==
+          ==
+          rump
+        ==
+      :-  '%'
+        ;~  pfix  cen
+          ;~  pose
+            (stag %clsg (sear |~([a=@ud b=tyke] (posh ~ ~ a b)) porc))
+            (stag %rock (stag %tas (cold %$ buc)))
+            (stag %rock (stag %f (cold & pam)))
+            (stag %rock (stag %f (cold | bar)))
+            (stag %rock (stag %t qut))
+            (cook (jock &) nuck:so)
+            (stag %clsg (sear |=(a=(list) (posh ~ ~ (lent a) ~)) (star cen)))
+          ==
+        ==
+      :-  '&'
+        ;~  pose
+          (cook |=(a=wing [%cnts a ~]) rope)
+          (stag %wtpm ;~(pfix pam (ifix [pal par] (most ace wide))))
+          ;~(plug (stag %rock (stag %f (cold & pam))) wede)
+          (stag %sand (stag %f (cold & pam)))
+        ==
+      :-  '\''
+        (stag %sand (stag %t qut))
+      :-  '('
+        (stag %cncl (ifix [pal par] (most ace wide)))
+      :-  '*'
+        ;~  pose
+          (stag %kttr ;~(pfix tar wyde))
+          (cold [%base %noun] tar)
+        ==
+      :-  '@'
+        ;~(pfix pat (stag %base (stag %atom mota)))
+      :-  '+'
+        ;~  pose
+          (stag %dtls ;~(pfix lus (ifix [pal par] wide)))
+        ::
+          %+  cook
+            |=  a=(list (list woof))
+            :-  %mcfs
+            [%knit |-(^-((list woof) ?~(a ~ (weld i.a $(a t.a)))))]
+          (most dog ;~(pfix lus soil))
+        ::
+          (cook |=(a=wing [%cnts a ~]) rope)
+        ==
+      :-  '-'
+        ;~  pose
+          (stag %sand tash:so)
+        ::
+          %+  cook
+            |=  a=(list (list woof))
+            [%clsg (phax a)]
+          (most dog ;~(pfix hep soil))
+        ::
+          (cook |=(a=wing [%cnts a ~]) rope)
+        ==
+      :-  '.'
+        ;~  pose
+          (cook (jock |) ;~(pfix dot perd:so))
+          (cook |=(a=wing [%cnts a ~]) rope)
+        ==
+      :-  ['0' '9']
+        %+  cook
+          |=  [a=dime b=(unit hoon)]
+          ?~(b [%sand a] [[%rock a] u.b])
+        ;~(plug bisk:so (punt wede))
+      :-  ':'
+        ;~  pfix  col
+          ;~  pose
+            (stag %mccl (ifix [pal par] (most ace wide)))
+            ;~(pfix fas (stag %mcfs wide))
+          ==
+        ==
+      :-  '='
+        ;~  pfix  tis
+          ;~  pose
+            (stag %dtts (ifix [pal par] ;~(glam wide wide)))
+          ::
+            %+  sear
+              ::  mainly used for +skin formation
+              ::
+              |=  =spec
+              ^-  (unit hoon)
+              %+  bind  ~(autoname ax spec)
+              |=(=term `hoon`[%ktts term %kttr spec])
+            wyde
+          ==
+        ==
+      :-  '?'
+        ;~  pose
+          %+  stag  %ktcl
+          (stag %bcwt ;~(pfix wut (ifix [pal par] (most ace wyde))))
+        ::
+          (cold [%base %flag] wut)
+        ==
+      :-  '['
+        rupl
+      :-  '^'
+        ;~  pose
+          (stag %wing rope)
+          (cold [%base %cell] ket)
+        ==
+      :-  '`'
+        ;~  pfix  tic
+          ;~  pose
+            %+  cook
+              |=([a=@ta b=hoon] [%ktls [%sand a 0] [%ktls [%sand %$ 0] b]])
+            ;~(pfix pat ;~(plug mota ;~(pfix tic wide)))
+            ;~  pfix  tar
+              (stag %kthp (stag [%base %noun] ;~(pfix tic wide)))
+            ==
+            (stag %kthp ;~(plug wyde ;~(pfix tic wide)))
+            (stag %ktls ;~(pfix lus ;~(plug wide ;~(pfix tic wide))))
+            (cook |=(a=hoon [[%rock %n ~] a]) wide)
+          ==
+        ==
+      :-  '"'
+        %+  cook
+          |=  a=(list (list woof))
+          [%knit |-(^-((list woof) ?~(a ~ (weld i.a $(a t.a)))))]
+        (most dog soil)
+      :-  ['a' 'z']
+        rump
+      :-  '|'
+        ;~  pose
+          (cook |=(a=wing [%cnts a ~]) rope)
+          (stag %wtbr ;~(pfix bar (ifix [pal par] (most ace wide))))
+          ;~(plug (stag %rock (stag %f (cold | bar))) wede)
+          (stag %sand (stag %f (cold | bar)))
+        ==
+      :-  '~'
+        ;~  pose
+          rupl
+        ::
+          ;~  pfix  sig
+            ;~  pose
+              (stag %clsg (ifix [sel ser] (most ace wide)))
+            ::
+              %+  stag  %cnsg
+              %+  ifix
+                [pal par]
+              ;~(glam rope wide (most ace wide))
+            ::
+              (cook (jock |) twid:so)
+              (stag [%bust %null] wede)
+              (easy [%bust %null])
+            ==
+          ==
+        ==
+      :-  '/'
+        rood
+      :-  '<'
+        (ifix [gal gar] (stag %tell (most ace wide)))
+      :-  '>'
+        (ifix [gar gal] (stag %yell (most ace wide)))
+      :-  '#'
+        ;~(pfix hax reed)
+    ==
+  ++  soil
+    ;~  pose
+      ;~  less  (jest '"""')
+        %+  ifix  [doq doq]
+        %-  star
+        ;~  pose
+          ;~(pfix bas ;~(pose bas doq kel bix:ab))
+          ;~(less doq bas kel prn)
+          (stag ~ sump)
+        ==
+      ==
+    ::
+      %-  iny  %+  ifix
+        [(jest '"""\0a') (jest '\0a"""')]
+      %-  star
+      ;~  pose
+        ;~(pfix bas ;~(pose bas kel bix:ab))
+        ;~(less bas kel prn)
+        ;~(less (jest '\0a"""') (just `@`10))
+        (stag ~ sump)
+      ==
+    ==
+  ++  sump  (ifix [kel ker] (stag %cltr (most ace wide)))
+  ++  norm                                              ::  rune regular form
+    |=  tol=?
+    |%
+    ++  structure
+      %-  stew
+      ^.  stet  ^.  limo
+      :~  :-  '$'
+            ;~  pfix  buc
+              %-  stew
+              ^.  stet  ^.  limo
+              :~  [':' (rune col %bccl exqs)]
+                  ['%' (rune cen %bccn exqs)]
+                  ['<' (rune gal %bcgl exqb)]
+                  ['>' (rune gar %bcgr exqb)]
+                  ['^' (rune ket %bckt exqb)]
+                  ['~' (rune sig %bcsg exqd)]
+                  ['|' (rune bar %bcbr exqc)]
+                  ['&' (rune pam %bcpm exqc)]
+                  ['@' (rune pat %bcpt exqb)]
+                  ['_' (rune cab %bccb expa)]
+                  ['-' (rune hep %bchp exqb)]
+                  ['=' (rune tis %bcts exqg)]
+                  ['?' (rune wut %bcwt exqs)]
+                  [';' (rune mic %bcmc expa)]
+                  ['+' (rune lus %bcls exqg)]
+              ==
+            ==
+        :-  '%'
+          ;~  pfix  cen
+            %-  stew
+            ^.  stet  ^.  limo
+            :~  :-  '^'
+                %+  cook
+                  |=  [%cnkt a=hoon b=spec c=spec d=spec]
+                  [%make a b c d ~]
+                (rune ket %cnkt exqy)
+            ::
+                :-  '+'
+                %+  cook
+                  |=  [%cnls a=hoon b=spec c=spec]
+                  [%make a b c ~]
+                (rune lus %cnls exqx)
+            ::
+                :-  '-'
+                %+  cook
+                  |=  [%cnhp a=hoon b=spec]
+                  [%make a b ~]
+                (rune hep %cnhp exqd)
+            ::
+                :-  ':'
+                %+  cook
+                  |=  [%cncl a=hoon b=(list spec)]
+                  [%make a b]
+                (rune col %cncl exqz)
+            ==
+          ==
+        :-  '#'
+          ;~  pfix  hax  fas
+            %+  stag  %bccl
+            %+  cook
+              |=  [[i=spec t=(list spec)] e=spec]
+              [i (snoc t e)]
+            ;~  plug
+              %+  most  ;~(less ;~(plug fas tar) fas)
+              %-  stew
+              ^.  stet  ^.  limo
+              :~  :-  ['a' 'z']
+                  ;~  pose
+                    ::  /name=@aura
+                    ::
+                    %+  cook
+                      |=  [=term =aura]
+                      ^-  spec
+                      :+  %bccl
+                        [%leaf %tas aura]
+                      :_  ~
+                      :+  %bcts  term
+                      ?+  aura  [%base %atom aura]
+                        %f  [%base %flag]
+                        %n  [%base %null]
+                      ==
+                    ;~(plug sym ;~(pfix tis pat mota))
+                  ::
+                    ::  /constant
+                    ::
+                    (stag %leaf (stag %tas ;~(pose sym (cold %$ buc))))
+                  ==
+                ::
+                  ::  /@aura
+                  ::
+                  :-  '@'
+                  %+  cook
+                    |=  =aura
+                    ^-  spec
+                    :+  %bccl
+                      [%leaf %tas aura]
+                    [%base %atom aura]~
+                  ;~(pfix pat mota)
+                ::
+                  ::  /?
+                  ::
+                  :-  '?'
+                  (cold [%bccl [%leaf %tas %f] [%base %flag] ~] wut)
+                ::
+                  ::  /~
+                  ::
+                  :-  '~'
+                  (cold [%bccl [%leaf %tas %n] [%base %null] ~] sig)
+              ==
+            ::
+              ::  open-ended or fixed-length
+              ::
+              ;~  pose
+                (cold [%base %noun] ;~(plug fas tar))
+                (easy %base %null)
+              ==
+            ==
+          ==
+      ==
+    ++  expression
+      %-  stew
+      ^.  stet  ^.  limo
+      :~  :-  '|'
+            ;~  pfix  bar
+              %-  stew
+              ^.  stet  ^.  limo
+              :~  ['_' (rune cab %brcb exqr)]
+                  ['%' (runo cen %brcn ~ expe)]
+                  ['@' (runo pat %brpt ~ expe)]
+                  [':' (rune col %brcl expb)]
+                  ['.' (rune dot %brdt expa)]
+                  ['-' (rune hep %brhp expa)]
+                  ['^' (rune ket %brkt expr)]
+                  ['~' (rune sig %brsg exqc)]
+                  ['*' (rune tar %brtr exqc)]
+                  ['=' (rune tis %brts exqc)]
+                  ['?' (rune wut %brwt expa)]
+                  ['$' (rune buc %brbc exqe)]
+              ==
+            ==
+          :-  '$'
+            ;~  pfix  buc
+              %-  stew
+              ^.  stet  ^.  limo
+              :~  ['@' (stag %ktcl (rune pat %bcpt exqb))]
+                  ['_' (stag %ktcl (rune cab %bccb expa))]
+                  [':' (stag %ktcl (rune col %bccl exqs))]
+                  ['%' (stag %ktcl (rune cen %bccn exqs))]
+                  ['<' (stag %ktcl (rune gal %bcgl exqb))]
+                  ['>' (stag %ktcl (rune gar %bcgr exqb))]
+                  ['|' (stag %ktcl (rune bar %bcbr exqc))]
+                  ['&' (stag %ktcl (rune pam %bcpm exqc))]
+                  ['^' (stag %ktcl (rune ket %bckt exqb))]
+                  ['~' (stag %ktcl (rune sig %bcsg exqd))]
+                  ['-' (stag %ktcl (rune hep %bchp exqb))]
+                  ['=' (stag %ktcl (rune tis %bcts exqg))]
+                  ['?' (stag %ktcl (rune wut %bcwt exqs))]
+                  ['+' (stag %ktcl (rune lus %bcls exqg))]
+                  ['.' (rune dot %kttr exqa)]
+                  [',' (rune com %ktcl exqa)]
+              ==
+            ==
+          :-  '%'
+            ;~  pfix  cen
+              %-  stew
+              ^.  stet  ^.  limo
+              :~  ['_' (rune cab %cncb exph)]
+                  ['.' (rune dot %cndt expb)]
+                  ['^' (rune ket %cnkt expd)]
+                  ['+' (rune lus %cnls expc)]
+                  ['-' (rune hep %cnhp expb)]
+                  [':' (rune col %cncl expi)]
+                  ['~' (rune sig %cnsg expn)]
+                  ['*' (rune tar %cntr expm)]
+                  ['=' (rune tis %cnts exph)]
+              ==
+            ==
+          :-  ':'
+            ;~  pfix  col
+              %-  stew
+              ^.  stet  ^.  limo
+              :~  ['_' (rune cab %clcb expb)]
+                  ['^' (rune ket %clkt expd)]
+                  ['+' (rune lus %clls expc)]
+                  ['-' (rune hep %clhp expb)]
+                  ['~' (rune sig %clsg exps)]
+                  ['*' (rune tar %cltr exps)]
+              ==
+            ==
+          :-  '.'
+            ;~  pfix  dot
+              %-  stew
+              ^.  stet  ^.  limo
+              :~  ['+' (rune lus %dtls expa)]
+                  ['*' (rune tar %dttr expb)]
+                  ['=' (rune tis %dtts expb)]
+                  ['?' (rune wut %dtwt expa)]
+                  ['^' (rune ket %dtkt exqn)]
+              ==
+            ==
+          :-  '^'
+            ;~  pfix  ket
+              %-  stew
+              ^.  stet  ^.  limo
+              :~  ['|' (rune bar %ktbr expa)]
+                  ['.' (rune dot %ktdt expb)]
+                  ['-' (rune hep %kthp exqc)]
+                  ['+' (rune lus %ktls expb)]
+                  ['&' (rune pam %ktpm expa)]
+                  ['~' (rune sig %ktsg expa)]
+                  ['=' (rune tis %ktts expj)]
+                  ['?' (rune wut %ktwt expa)]
+                  ['*' (rune tar %kttr exqa)]
+                  [':' (rune col %ktcl exqa)]
+              ==
+            ==
+          :-  '~'
+            ;~  pfix  sig
+              %-  stew
+              ^.  stet  ^.  limo
+              :~  ['|' (rune bar %sgbr expb)]
+                  ['$' (rune buc %sgbc expf)]
+                  ['_' (rune cab %sgcb expb)]
+                  ['%' (rune cen %sgcn hind)]
+                  ['/' (rune fas %sgfs hine)]
+                  ['<' (rune gal %sggl hinb)]
+                  ['>' (rune gar %sggr hinb)]
+                  ['+' (rune lus %sgls hinc)]
+                  ['&' (rune pam %sgpm hinf)]
+                  ['?' (rune wut %sgwt hing)]
+                  ['=' (rune tis %sgts expb)]
+                  ['!' (rune zap %sgzp expb)]
+              ==
+            ==
+          :-  ';'
+            ;~  pfix  mic
+              %-  stew
+              ^.  stet  ^.  limo
+              :~  [':' (rune col %mccl expi)]
+                  ['/' (rune fas %mcfs expa)]
+                  ['<' (rune gal %mcgl expz)]
+                  ['~' (rune sig %mcsg expi)]
+                  [';' (rune mic %mcmc exqc)]
+              ==
+            ==
+          :-  '='
+            ;~  pfix  tis
+              %-  stew
+              ^.  stet  ^.  limo
+              :~  ['|' (rune bar %tsbr exqc)]
+                  ['.' (rune dot %tsdt expq)]
+                  ['?' (rune wut %tswt expw)]
+                  ['^' (rune ket %tskt expt)]
+                  [':' (rune col %tscl expp)]
+                  ['/' (rune fas %tsfs expo)]
+                  [';' (rune mic %tsmc expo)]
+                  ['<' (rune gal %tsgl expb)]
+                  ['>' (rune gar %tsgr expb)]
+                  ['-' (rune hep %tshp expb)]
+                  ['*' (rune tar %tstr expg)]
+                  [',' (rune com %tscm expb)]
+                  ['+' (rune lus %tsls expb)]
+                  ['~' (rune sig %tssg expi)]
+              ==
+            ==
+          :-  '?'
+            ;~  pfix  wut
+              %-  stew
+              ^.  stet  ^.  limo
+              :~  ['|' (rune bar %wtbr exps)]
+                  [':' (rune col %wtcl expc)]
+                  ['.' (rune dot %wtdt expc)]
+                  ['<' (rune gal %wtgl expb)]
+                  ['>' (rune gar %wtgr expb)]
+                  ['-' ;~(pfix hep (toad txhp))]
+                  ['^' ;~(pfix ket (toad tkkt))]
+                  ['=' ;~(pfix tis (toad txts))]
+                  ['#' ;~(pfix hax (toad txhx))]
+                  ['+' ;~(pfix lus (toad txls))]
+                  ['&' (rune pam %wtpm exps)]
+                  ['@' ;~(pfix pat (toad tkvt))]
+                  ['~' ;~(pfix sig (toad tksg))]
+                  ['!' (rune zap %wtzp expa)]
+              ==
+            ==
+          :-  '!'
+            ;~  pfix  zap
+              %-  stew
+              ^.  stet  ^.  limo
+              :~  [':' ;~(pfix col (toad expy))]
+                  ['.' ;~(pfix dot (toad |.(loaf(bug |))))]
+                  [',' (rune com %zpcm expb)]
+                  [';' (rune mic %zpmc expb)]
+                  ['>' (rune gar %zpgr expa)]
+                  ['<' (rune gal %zpgl exqc)]
+                  ['@' (rune pat %zppt expx)]
+                  ['=' (rune tis %zpts expa)]
+                  ['?' (rune wut %zpwt hinh)]
+              ==
+            ==
+      ==
+    ::
+    ++  boog  !.
+      %+  knee  [p=*whit q=*term r=*help s=*hoon]
+      |.(~+((scye ;~(pose bola boba))))
+    ++  bola                                           ::  ++  arms
+      %+  knee  [q=*term r=*help s=*hoon]  |.  ~+
+      %+  cook
+        |=  [q=term r=whiz s=hoon]
+        ?:  =(r *whiz)
+          [q *help s]
+        [q [[%funk q]~ [r]~] s]
+      ;~  pfix  (jest '++')
+        ;~  plug
+          ;~(pfix gap ;~(pose (cold %$ buc) sym))
+          apse:docs
+          ;~(pfix jump loaf)
+        ==
+      ==
+    ::TODO consider special casing $%
+    ++  boba                                           ::  +$  arms
+      %+  knee  [q=*term r=*help s=*hoon]  |.  ~+
+      %+  cook
+        |=  [q=term r=whiz s=spec]
+        ?:  =(r *whiz)
+          [q *help [%ktcl %name q s]]
+        [q [[%plan q]~ [r]~] [%ktcl %name q s]]
+      ;~  pfix  (jest '+$')
+        ;~  plug
+          ;~(pfix gap sym)
+          apse:docs
+          ;~(pfix jump loan)
+        ==
+      ==
+   ::
+   ::  parses a or [a b c] or a  b  c  ==
+   ++  lynx
+      =/  wid  (ifix [sel ser] (most ace sym))
+      =/  tal
+        ;~  sfix
+          (most gap sym)
+          ;~(plug gap duz)
+        ==
+      =/  one
+        %-  cook  :_  sym
+        |=  a=term
+        `(list term)`~[a]
+      %-  cook
+      :_  ;~(pose (runq wid tal) one)
+      ::  lestify
+      |=  a=(list term)
+      ?~(a !! a)
+    ::
+    ++  whap  !.                                        ::  chapter
+      %+  cook
+        |=  a=(list (qual whit term help hoon))
+        ::  separate $helps into their own list to be passed to +glow
+        =/  [duds=(list help) nude=(list (pair term hoon))]
+          %+  roll  a
+          |=  $:  $=  bog
+                  (qual whit term help hoon)
+                ::
+                  $=  gob
+                  [duds=(list help) nude=(list (pair term hoon))]
+              ==
+          =/  [unt=(list help) tag=(list help)]
+            %+  skid  ~(tap by bat.p.bog)  |=(=help =(~ cuff.help))
+          :-  ?:  =(*help r.bog)
+                (weld tag duds.gob)
+              [r.bog (weld tag duds.gob)]
+          |-
+          ?~  unt  [[q.bog s.bog] nude.gob]
+          =.  s.bog  [%note help/i.unt s.bog]
+          $(unt t.unt)
+        ::
+        %+  glow  duds
+        |-  ^-  (map term hoon)
+        ?~  nude  ~
+        =+  $(nude t.nude)
+        %+  ~(put by -)
+          p.i.nude
+        ?:  (~(has by -) p.i.nude)
+          [%eror (weld "duplicate arm: +" (trip p.i.nude))]
+        q.i.nude
+      ::
+      (most mush boog)
+    ::
+    ::  +glow: moves batch comments to the correct arm
+    ++  glow
+      |=  [duds=(list help) nude=(map term hoon)]
+      ^-  (map term hoon)
+      |-
+      ?~  duds  nude
+      ::  if there is no link, its not part of a batch comment
+      ?~  cuff.i.duds
+        ::  this shouldn't happen yet until we look for cuffs of length >1
+        ::  but we need to prove that cuff is nonempty anyways
+        $(duds t.duds)
+      ::
+      ::TODO: look past the first link. this probably requires
+      ::a major rethink on how batch comments work
+      =/  nom=(unit term)
+        ?+    i.cuff.i.duds  ~
+        ::  we only support ++ and +$ batch comments right now
+        ::
+            ?([%funk *] [%plan *])
+          `p.i.cuff.i.duds
+        ==
+      %=  $
+        duds  t.duds
+        nude  ?~  nom  nude
+              ?.  (~(has by nude) u.nom)
+                ::  ~>  %slog.[0 leaf+"glow: unmatched link"]
+                nude
+              (~(jab by nude) u.nom |=(a=hoon [%note help+i.duds a]))
+      ==
+    ::
+    ++  whip                                            ::  chapter declare
+      %+  cook
+        |=  [[a=whit b=term c=whiz] d=(map term hoon)]
+        ^-  [whit (pair term (map term hoon))]
+        ?.  =(*whit a)
+          [a b d]
+        ?:  =(*whiz c)
+          [*whit b d]
+        [%*(. *whit bat (malt [[%chat b]~ [c]~]~)) b d]
+      ;~(plug (seam ;~(pfix (jest '+|') gap cen sym)) whap)
+    ::
+    ++  wasp                                            ::  $brcb aliases
+      ;~  pose
+        %+  ifix
+          [;~(plug lus tar muck) muck]
+        (most muck ;~(gunk sym loll))
+      ::
+        (easy ~)
+      ==
+    ::
+    ++  wisp  !.                                        ::  core tail
+      ?.  tol  fail
+      %+  cook
+        |=  a=(list [wit=whit wap=(pair term (map term hoon))])
+        ^-  (map term tome)
+        =<  p
+        |-  ^-  (pair (map term tome) (map term hoon))
+        ?~  a  [~ ~]
+        =/  mor  $(a t.a)
+        =.  q.wap.i.a
+          %-  ~(urn by q.wap.i.a)
+          |=  b=(pair term hoon)  ^+  +.b
+          ::  tests for duplicate arms between two chapters
+          ?.  (~(has by q.mor) p.b)  +.b
+          [%eror (weld "duplicate arm: +" (trip p.b))]
+        :_  (~(uni by q.mor) q.wap.i.a)
+        %+  ~(put by p.mor)
+          p.wap.i.a
+        :-  %-  ~(get by bat.wit.i.a)
+            ?:  (~(has by bat.wit.i.a) [%chat p.wap.i.a]~)
+              [%chat p.wap.i.a]~
+            ~
+        ?.  (~(has by p.mor) p.wap.i.a)
+          q.wap.i.a
+        [[%$ [%eror (weld "duplicate chapter: |" (trip p.wap.i.a))]] ~ ~]
+      ::
+      ::TODO: allow cores with unnamed chapter as well as named chapters?
+      ;~  pose
+        dun
+        ;~  sfix
+          ;~  pose
+            (most mush whip)
+            ;~(plug (stag *whit (stag %$ whap)) (easy ~))
+          ==
+          gap
+          dun
+        ==
+      ==
+    ::
+    ::TODO: check parser performance
+    ++  toad                                            ::  untrap parser expr
+      |*  har=_expa
+      =+  dur=(ifix [pal par] $:har(tol |))
+      ?.  tol
+        dur
+      ;~(pose ;~(pfix jump $:har(tol &)) ;~(pfix gap $:har(tol &)) dur)
+    ::
+    ++  rune                                            ::  build rune
+      |*  [dif=rule tuq=* har=_expa]
+      ;~(pfix dif (stag tuq (toad har)))
+    ::
+    ++  runo                                            ::  rune plus
+      |*  [dif=rule hil=* tuq=* har=_expa]
+      ;~(pfix dif (stag hil (stag tuq (toad har))))
+    ::
+    ++  runq                                            ::  wide or tall if tol
+      |*  [wid=rule tal=rule]                           ::  else wide
+      ?.  tol
+        wid
+      ;~(pose wid tal)
+    ::
+    ++  butt  |*  zor=rule                              ::  closing == if tall
+              ?:(tol ;~(sfix zor ;~(plug gap duz)) zor)
+    ++  ulva  |*  zor=rule                              ::  closing -- and tall
+              ?.(tol fail ;~(sfix zor ;~(plug gap dun)))
+    ++  glop  ~+((glue mash))                           ::  separated by space
+    ++  gunk  ~+((glue muck))                           ::  separated list
+    ++  goop  ~+((glue mush))                           ::  separator list & docs
+    ++  hank  (most mush loaf)                          ::  gapped hoons
+    ++  hunk  (most mush loan)                          ::  gapped specs
+    ++  jump  ;~(pose leap:docs gap)                    ::  gap before docs
+    ++  loaf  ?:(tol tall wide)                         ::  hoon
+    ++  loll  ?:(tol tall(doc |) wide(doc |))           ::  hoon without docs
+    ++  loan  ?:(tol till wyde)                         ::  spec
+    ++  lore  (sear |=(=hoon ~(flay ap hoon)) loaf)     ::  skin
+    ++  lomp  ;~(plug sym (punt ;~(pfix tis wyde)))     ::  typeable name
+    ++  mash  ?:(tol gap ;~(plug com ace))              ::  list separator
+    ++  muss  ?:(tol jump ;~(plug com ace))             ::  list w/ doccords
+    ++  muck  ?:(tol gap ace)                           ::  general separator
+    ++  mush  ?:(tol jump ace)                          ::  separator w/ docs
+    ++  teak  %+  knee  *tiki  |.  ~+                   ::  wing or hoon
+              =+  ^=  gub
+                  |=  [a=term b=$%([%& p=wing] [%| p=hoon])]
+                  ^-  tiki
+                  ?-(-.b %& [%& [~ a] p.b], %| [%| [~ a] p.b])
+              =+  ^=  wyp
+                  ;~  pose
+                     %+  cook  gub
+                     ;~  plug
+                       sym
+                       ;~(pfix tis ;~(pose (stag %& rope) (stag %| wide)))
+                     ==
+                  ::
+                     (stag %& (stag ~ rope))
+                     (stag %| (stag ~ wide))
+                  ==
+              ?.  tol  wyp
+              ;~  pose
+                wyp
+              ::
+                ;~  pfix
+                  ;~(plug ket tis gap)
+                  %+  cook  gub
+                  ;~  plug
+                    sym
+                    ;~(pfix gap ;~(pose (stag %& rope) (stag %| tall)))
+                  ==
+                ==
+              ::
+                (stag %| (stag ~ tall))
+              ==
+    ++  rack  (most muss ;~(goop loaf loaf))            ::  list [hoon hoon]
+    ++  ruck  (most muss ;~(goop loan loaf))            ::  list [spec hoon]
+    ++  rick  (most mash ;~(goop rope loaf))            ::  list [wing hoon]
+    ::  hoon contents
+    ::
+    ++  expa  |.(loaf)                                  ::  one hoon
+    ++  expb  |.(;~(goop loaf loaf))                    ::  two hoons
+    ++  expc  |.(;~(goop loaf loaf loaf))               ::  three hoons
+    ++  expd  |.(;~(goop loaf loaf loaf loaf))          ::  four hoons
+    ++  expe  |.(wisp)                                  ::  core tail
+    ++  expf  |.(;~(goop ;~(pfix cen sym) loaf))        ::  %term and hoon
+    ++  expg  |.(;~(gunk lomp loll loaf))               ::  term/spec, two hoons
+    ++  exph  |.((butt ;~(gunk rope rick)))             ::  wing, [wing hoon]s
+    ++  expi  |.((butt ;~(goop loaf hank)))             ::  one or more hoons
+    ++  expj  |.(;~(goop lore loaf))                    ::  skin and hoon
+   :: ++  expk  |.(;~(gunk loaf ;~(plug loaf (easy ~))))::  list of two hoons
+   :: ++  expl  |.(;~(gunk sym loaf loaf))              ::  term, two hoons
+    ++  expm  |.((butt ;~(gunk rope loaf rick)))        ::  several [spec hoon]s
+    ++  expn  |.  ;~  gunk  rope  loaf                  ::  wing, hoon,
+                    ;~(plug loaf (easy ~))              ::  list of one hoon
+                  ==                                    ::
+    ++  expo  |.(;~(goop wise loaf loaf))               ::  =;
+    ++  expp  |.(;~(goop (butt rick) loaf))             ::  [wing hoon]s, hoon
+    ++  expq  |.(;~(goop rope loaf loaf))               ::  wing and two hoons
+    ++  expr  |.(;~(goop loaf wisp))                    ::  hoon and core tail
+    ++  exps  |.((butt hank))                           ::  closed gapped hoons
+    ++  expt  |.(;~(gunk wise rope loaf loaf))          ::  =^
+    ++  expu  |.(;~(gunk rope loaf (butt hank)))        ::  wing, hoon, hoons
+   :: ++  expv  |.((butt rick))                         ::  just changes
+    ++  expw  |.(;~(goop rope loaf loaf loaf))          ::  wing and three hoons
+    ++  expx  |.(;~(goop ropa loaf loaf))               ::  wings and two hoons
+    ++  expy  |.(loaf(bug &))                           ::  hoon with tracing
+    ++  expz  |.(;~(goop loan loaf loaf loaf))          ::  spec and three hoons
+    ::  spec contents
+    ::
+    ++  exqa  |.(loan)                                  ::  one spec
+    ++  exqb  |.(;~(goop loan loan))                    ::  two specs
+    ++  exqc  |.(;~(goop loan loaf))                    ::  spec then hoon
+    ++  exqd  |.(;~(goop loaf loan))                    ::  hoon then spec
+    ++  exqe  |.(;~(goop lynx loan))                    ::  list of names then spec
+    ++  exqs  |.((butt hunk))                           ::  closed gapped specs
+    ++  exqg  |.(;~(goop sym loan))                     ::  term and spec
+    ::++  exqk  |.(;~(goop loaf ;~(plug loan (easy ~))))::  hoon with one spec
+    ++  exqn  |.(;~(gunk loan (stag %cltr (butt hank))))::  autoconsed hoons
+    ++  exqr  |.(;~(gunk loan ;~(plug wasp wisp)))      ::  spec/aliases?/tail
+    ::++  exqw  |.(;~(goop loaf loan))                  ::  hoon and spec
+    ++  exqx  |.(;~(goop loaf loan loan))               ::  hoon, two specs
+    ++  exqy  |.(;~(goop loaf loan loan loan))          ::  hoon, three specs
+    ++  exqz  |.(;~(goop loaf (butt hunk)))             ::  hoon, n specs
+    ::
+    ::    tiki expansion for %wt runes
+    ::
+    ++  txhp  |.  %+  cook  |=  [a=tiki b=(list (pair spec hoon))]
+                            (~(wthp ah a) b)
+                  (butt ;~(gunk teak ruck))
+    ++  tkkt  |.  %+  cook  |=  [a=tiki b=hoon c=hoon]
+                            (~(wtkt ah a) b c)
+                  ;~(gunk teak loaf loaf)
+    ++  txls  |.  %+  cook  |=  [a=tiki b=hoon c=(list (pair spec hoon))]
+                            (~(wtls ah a) b c)
+                  (butt ;~(gunk teak loaf ruck))
+    ++  tkvt  |.  %+  cook  |=  [a=tiki b=hoon c=hoon]
+                            (~(wtpt ah a) b c)
+                  ;~(gunk teak loaf loaf)
+    ++  tksg  |.  %+  cook  |=  [a=tiki b=hoon c=hoon]
+                            (~(wtsg ah a) b c)
+                  ;~(gunk teak loaf loaf)
+    ++  txts  |.  %+  cook  |=  [a=spec b=tiki]
+                            (~(wtts ah b) a)
+                  ;~(gunk loan teak)
+    ++  txhx  |.  %+  cook  |=  [a=skin b=tiki]
+                            (~(wthx ah b) a)
+                  ;~(gunk lore teak)
+    ::
+    ::  hint syntax
+    ::
+    ++  hinb  |.(;~(goop bont loaf))                    ::  hint and hoon
+    ++  hinc  |.                                        ::  optional =en, hoon
+              ;~(pose ;~(goop bony loaf) (stag ~ loaf)) ::
+    ++  hind  |.(;~(gunk bonk loaf ;~(goop bonz loaf))) ::  jet hoon "bon"s hoon
+    ++  hine  |.(;~(goop bonk loaf))                    ::  jet-hint and hoon
+    ++  hinf  |.                                        ::  0-3 >s, two hoons
+      ;~  pose
+        ;~(goop (cook lent (stun [1 3] gar)) loaf loaf)
+        (stag 0 ;~(goop loaf loaf))
+      ==
+    ++  hing  |.                                        ::  0-3 >s, three hoons
+      ;~  pose
+        ;~(goop (cook lent (stun [1 3] gar)) loaf loaf loaf)
+        (stag 0 ;~(goop loaf loaf loaf))
+      ==
+    ++  bonk                                            ::  jet signature
+      ;~  pfix  cen
+        ;~  pose
+          ;~(plug sym ;~(pfix col ;~(plug sym ;~(pfix dot ;~(pfix dot dem)))))
+          ;~(plug sym ;~(pfix col ;~(plug sym ;~(pfix dot dem))))
+          ;~(plug sym ;~(pfix dot dem))
+          sym
+        ==
+      ==
+    ++  hinh  |.                                        ::  1/2 numbers, hoon
+        ;~  goop
+          ;~  pose
+            dem
+            (ifix [sel ser] ;~(plug dem ;~(pfix ace dem)))
+          ==
+          loaf
+        ==
+    ++  bont  ;~  (bend)                                ::  term, optional hoon
+                ;~(pfix cen sym)
+                ;~(pfix dot ;~(pose wide ;~(pfix muck loaf)))
+              ==
+    ++  bony  (cook |=(a=(list) (lent a)) (plus tis))   ::  base 1 =en count
+    ++  bonz                                            ::  term-labelled hoons
+      ;~  pose
+        (cold ~ sig)
+        %+  ifix
+          ?:(tol [;~(plug duz gap) ;~(plug gap duz)] [pal par])
+        (more mash ;~(gunk ;~(pfix cen sym) loaf))
+      ==
+    --
+  ::
+  ++  lang                                              ::  lung sample
+    $:  ros=hoon
+        $=  vil
+        $%  [%tis p=hoon]
+            [%col p=hoon]
+            [%ket p=hoon]
+            [%lit p=(list (pair wing hoon))]
+        ==
+    ==
+  ::
+  ++  lung
+    ~+
+    %-  bend
+    |:  $:lang
+    ^-  (unit hoon)
+    ?-    -.vil
+      %col  ?:(=([%base %flag] ros) ~ [~ %tsgl ros p.vil])
+      %lit  (bind ~(reek ap ros) |=(hyp=wing [%cnts hyp p.vil]))
+      %ket  [~ ros p.vil]
+      %tis  =+  rud=~(flay ap ros)
+            ?~(rud ~ `[%ktts u.rud p.vil])
+    ==
+  ::
+  ++  long
+    %+  knee  *hoon  |.  ~+
+    ;~  lung
+      scat
+      ;~  pose
+        ;~(plug (cold %tis tis) wide)
+        ;~(plug (cold %col col) wide)
+        ;~(plug (cold %ket ket) wide)
+        ;~  plug
+          (easy %lit)
+          (ifix [pal par] lobo)
+        ==
+      ==
+    ==
+  ::
+  ++  lobo  (most ;~(plug com ace) ;~(glam rope wide))
+  ++  loon  (most ;~(plug com ace) ;~(glam wide wide))
+  ++  lute                                              ::  tall [] noun
+    ~+
+    %+  cook  |=(hoon +<)
+    %+  stag  %cltr
+    %+  ifix
+      [;~(plug sel gap) ;~(plug gap ser)]
+    (most gap tall)
+  ::
+  ++  ropa  (most col rope)
+  ++  rope                                              ::  wing form
+    %+  knee  *wing
+    |.  ~+
+    %+  (slug |=([a=limb b=wing] [a b]))
+      dot
+    ;~  pose
+      (cold [%| 0 ~] com)
+      %+  cook
+        |=([a=(list) b=term] ?~(a b [%| (lent a) `b]))
+      ;~(plug (star ket) ;~(pose sym (cold %$ buc)))
+    ::
+      %+  cook
+        |=(a=axis [%& a])
+      ;~  pose
+        ;~(pfix lus dim:ag)
+        ;~(pfix pam (cook |=(a=@ ?:(=(0 a) 0 (mul 2 +($(a (dec a)))))) dim:ag))
+        ;~(pfix bar (cook |=(a=@ ?:(=(0 a) 1 +((mul 2 $(a (dec a)))))) dim:ag))
+        ven
+        (cold 1 dot)
+      ==
+    ==
+  ::
+  ++  wise
+    ;~  pose
+      ;~  pfix  tis
+        %+  sear
+          |=  =spec
+          ^-  (unit skin)
+          %+  bind  ~(autoname ax spec)
+          |=  =term
+          [%name term %spec spec %base %noun]
+        wyde
+      ==
+    ::
+      %+  cook
+        |=  [=term =(unit spec)]
+        ^-  skin
+        ?~  unit
+          term
+        [%name term %spec u.unit %base %noun]
+      ;~  plug  sym
+        (punt ;~(pfix ;~(pose fas tis) wyde))
+      ==
+    ::
+      %+  cook
+        |=  =spec
+        ^-  skin
+        [%spec spec %base %noun]
+      wyde
+    ==
+  ::
+  ++  tall                                              ::  full tall form
+    %+  knee  *hoon
+    |.(~+((wart (clad ;~(pose expression:(norm &) long lute apex:(sail &))))))
+  ++  till                                              ::  mold tall form
+    %+  knee  *spec
+    |.(~+((wert (coat ;~(pose structure:(norm &) scad)))))
+  ++  wede                                              ::  wide bulb
+    ::  XX: lus deprecated
+    ::
+    ;~(pfix ;~(pose lus fas) wide)
+  ++  wide                                              ::  full wide form
+    %+  knee  *hoon
+    |.(~+((wart ;~(pose expression:(norm |) long apex:(sail |)))))
+  ++  wyde                                              ::  mold wide form
+    %+  knee  *spec
+    |.(~+((wert ;~(pose structure:(norm |) scad))))
+  ++  wart
+    |*  zor=rule
+    %+  here
+      |=  [a=pint b=hoon]
+      ?:(bug [%dbug [wer a] b] b)
+    zor
+  ++  wert
+    |*  zor=rule
+    %+  here
+      |=  [a=pint b=spec]
+      ?:(bug [%dbug [wer a] b] b)
+    zor
+  --
+::
+++  vest
+  ~/  %vest
+  |=  tub=nail
+  ^-  (like hoon)
+  %.  tub
+  %-  full
+  (ifix [gay gay] tall:vast)
+::
+++  vice
+  |=  txt=@ta
+  ^-  hoon
+  (rash txt wide:vast)
+::
+++  make                                                ::  compile cord to nock
+  |=  txt=@
+  q:(~(mint ut %noun) %noun (ream txt))
+::
+++  rain                                                ::  parse with % path
+  |=  [bon=path txt=@]
+  ^-  hoon
+  =+  vaz=vast
+  ~|  bon
+  (scan (trip txt) (full (ifix [gay gay] tall:vaz(wer bon))))
+::
+++  ream                                                ::  parse cord to hoon
+  |=  txt=@
+  ^-  hoon
+  (rash txt vest)
+::
+++  reck                                                ::  parse hoon file
+  |=  bon=path
+  (rain bon .^(@t %cx (weld bon `path`[%hoon ~])))
+::
+++  ride                                                ::  end-to-end compiler
+  |=  [typ=type txt=@]
+  ^-  (pair type nock)
+  ~>  %slog.[0 leaf/"ride: parsing"]
+  =/  gen  (ream txt)
+  ~>  %slog.[0 leaf/"ride: compiling"]
+  ~<  %slog.[0 leaf/"ride: compiled"]
+  (~(mint ut typ) %noun gen)
+::
+::    5e: molds and mold builders
++|  %molds-and-mold-builders
+::
++$  mane  $@(@tas [@tas @tas])                          ::  XML name+space
++$  manx  $~([[%$ ~] ~] [g=marx c=marl])                ::  dynamic XML node
++$  marl  (list manx)                                   ::  XML node list
++$  mars  [t=[n=%$ a=[i=[n=%$ v=tape] t=~]] c=~]        ::  XML cdata
++$  mart  (list [n=mane v=tape])                        ::  XML attributes
++$  marx  $~([%$ ~] [n=mane a=mart])                    ::  dynamic XML tag
++$  mite  (list @ta)                                    ::  mime type
++$  pass  @                                             ::  public key
++$  ring  @                                             ::  private key
++$  ship  @p                                            ::  network identity
++$  shop  (each ship (list @ta))                        ::  urbit/dns identity
++$  spur  path                                          ::  ship desk case spur
++$  time  @da                                           ::  galactic time
+::
+::    5f: profiling support (XX move)
++|  %profiling-support
+::
+++  pi-heck
+    |=  [nam=@tas day=doss]
+    ^-  doss
+    =+  lam=(~(get by hit.day) nam)
+    day(hit (~(put by hit.day) nam ?~(lam 1 +(u.lam))))
+::
+++  pi-noon                                             ::  sample trace
+  |=  [mot=term paz=(list path) day=doss]
+  =|  lax=(unit path)
+  |-  ^-  doss
+  ?~  paz  day(mon (pi-mope mot mon.day))
+  %=    $
+      paz  t.paz
+      lax  `i.paz
+      cut.day
+    %+  ~(put by cut.day)  i.paz
+    ^-  hump
+    =+  nax=`(unit path)`?~(t.paz ~ `i.t.paz)
+    =+  hup=`hump`=+(hup=(~(get by cut.day) i.paz) ?^(hup u.hup [*moan ~ ~]))
+    :+  (pi-mope mot mon.hup)
+      ?~  lax  out.hup
+      =+  hag=(~(get by out.hup) u.lax)
+      (~(put by out.hup) u.lax ?~(hag 1 +(u.hag)))
+    ?~  nax  inn.hup
+    =+  hag=(~(get by inn.hup) u.nax)
+    (~(put by inn.hup) u.nax ?~(hag 1 +(u.hag)))
+  ==
+++  pi-mope                                             ::  add sample
+  |=  [mot=term mon=moan]
+  ?+  mot  mon
+    %fun  mon(fun +(fun.mon))
+    %noc  mon(noc +(noc.mon))
+    %glu  mon(glu +(glu.mon))
+    %mal  mon(mal +(mal.mon))
+    %far  mon(far +(far.mon))
+    %coy  mon(coy +(coy.mon))
+    %euq  mon(euq +(euq.mon))
+  ==
+++  pi-moth                                             ::  count sample
+  |=  mon=moan  ^-  @ud
+  :(add fun.mon noc.mon glu.mon mal.mon far.mon coy.mon euq.mon)
+::
+++  pi-mumm                                             ::  print sample
+  |=  mon=moan  ^-  tape
+  =+  tot=(pi-moth mon)
+  ;:  welp
+    ^-  tape
+    ?:  =(0 noc.mon)  ~
+    (welp (scow %ud (div (mul 100 noc.mon) tot)) "n ")
+  ::
+    ^-  tape
+    ?:  =(0 fun.mon)  ~
+    (welp (scow %ud (div (mul 100 fun.mon) tot)) "c ")
+  ::
+    ^-  tape
+    ?:  =(0 glu.mon)  ~
+    (welp (scow %ud (div (mul 100 glu.mon) tot)) "g ")
+  ::
+    ^-  tape
+    ?:  =(0 mal.mon)  ~
+    (welp (scow %ud (div (mul 100 mal.mon) tot)) "m ")
+  ::
+    ^-  tape
+    ?:  =(0 far.mon)  ~
+    (welp (scow %ud (div (mul 100 far.mon) tot)) "f ")
+  ::
+    ^-  tape
+    ?:  =(0 coy.mon)  ~
+    (welp (scow %ud (div (mul 100 coy.mon) tot)) "y ")
+  ::
+    ^-  tape
+    ?:  =(0 euq.mon)  ~
+    (welp (scow %ud (div (mul 100 euq.mon) tot)) "e ")
+  ==
+::
+++  pi-tell                                             ::  produce dump
+  |=  day=doss
+  ^-  (list tape)
+  ?:  =(day *doss)  ~
+  =+  tot=(pi-moth mon.day)
+  ;:  welp
+    [(welp "events: " (pi-mumm mon.day)) ~]
+  ::
+    %+  turn
+      %+  sort  ~(tap by hit.day)
+      |=  [a=[* @] b=[* @]]
+      (lth +.a +.b)
+    |=  [nam=term num=@ud]
+    :(welp (trip nam) ": " (scow %ud num))
+    ["" ~]
+  ::
+    %-  zing
+    ^-  (list (list tape))
+    %+  turn
+      %+  sort  ~(tap by cut.day)
+      |=  [one=(pair path hump) two=(pair path hump)]
+      (gth (pi-moth mon.q.one) (pi-moth mon.q.two))
+    |=  [pax=path hup=hump]
+    =+  ott=(pi-moth mon.hup)
+    ;:  welp
+      [(welp "label: " (spud pax)) ~]
+      [(welp "price: " (scow %ud (div (mul 100 ott) tot))) ~]
+      [(welp "shape: " (pi-mumm mon.hup)) ~]
+    ::
+      ?:  =(~ out.hup)  ~
+      :-  "into:"
+      %+  turn
+        %+  sort  ~(tap by out.hup)
+        |=([[* a=@ud] [* b=@ud]] (gth a b))
+      |=  [pax=path num=@ud]
+      ^-  tape
+      :(welp "  " (spud pax) ": " (scow %ud num))
+    ::
+      ?:  =(~ inn.hup)  ~
+      :-  "from:"
+      %+  turn
+        %+  sort  ~(tap by inn.hup)
+        |=([[* a=@ud] [* b=@ud]] (gth a b))
+      |=  [pax=path num=@ud]
+      ^-  tape
+      :(welp "  " (spud pax) ": " (scow %ud num))
+    ::
+      ["" ~]
+      ~
+    ==
+  ==
+--
diff --git a/repl/hoon/lib/builder.hoon b/repl/hoon/lib/builder.hoon
new file mode 100644
index 0000000..ebbef0d
--- /dev/null
+++ b/repl/hoon/lib/builder.hoon
@@ -0,0 +1,33 @@
+/*  hoon-139-hoon  %hoon  /lib/hoon-139/hoon
+/*  wrapper-hoon  %hoon  /lib/wrapper/hoon
+/*  kernel-hoon  %hoon  /lib/kernel/hoon
+!.
+::
+::  Bootstrap builder: to build the bootstrap formula for Choo using
+::  Urbit Ford
+::
+::  sync files into a desk %choo
+::  dojo> =choo -build-file /=choo=/lib/builder/hoon
+::  dojo> .choo/jam choo
+::
+::  copy <your-fakezod>/.urb/put/choo.jam to choo/bootstrap/choo.jam
+^-  *
+~&  "compiling hoon"
+=/  hoon-knob=[t=type form=nock]
+  ~>  %bout
+  (~(mint ut %noun) %noun (ream hoon-139-hoon))
+~&  "compiling wrapper"
+=/  wrapper-knob=[t=type form=nock]
+  ~>  %bout
+  (~(mint ut t.hoon-knob) %noun (ream wrapper-hoon))
+~&  "compiling kernel"
+=/  kernel-knob=[t=type form=nock]
+  ~>  %bout
+  (~(mint ut t.wrapper-knob) %noun (rain /lib/choo/kernel/hoon kernel-hoon))
+=/  trap-nock=nock
+  [%7 [%7 form.hoon-knob form.wrapper-knob] form.kernel-knob]
+~&  %built-trap-nock
+trap-nock
+::  TODO: use this once we can execute trap in NockApp
+::=>  [trap=trap-nock hash=(mug trap-nock)]
+::|.  .*([.*(0 trap) hash] [%9 2 %10 [6 %0 3] %0 2])
diff --git a/repl/hoon/lib/kernel.hoon b/repl/hoon/lib/kernel.hoon
new file mode 100644
index 0000000..4f33ecb
--- /dev/null
+++ b/repl/hoon/lib/kernel.hoon
@@ -0,0 +1,441 @@
+/+  *wrapper
+=>
+|%
++$  choo-state
+  $:  cached-hoon=(unit (trap vase))
+      ~
+  ==
+++  moat  (keep choo-state)
+::
+::  nock compiled from hoon, along with type. form is independent of
+::  subject, usually expected to be 0
++$  knob  [t=type f=nock]
++$  cause
+  $%  [%build entry=cord directory=(list [cord cord])]
+      [%boot hoon-txt=@cord]
+      [%input line=cord]
+  ==
++$  effect  [%jam p=*]
+--
+::
+=<
+~&  %choo-choo
+%-  moat
+^-  fort:moat
+|_  k=choo-state
++*  builder  +>
+::
+::  +load: upgrade from previous state
+::
+++  load
+  |=  arg=*
+  ^-  [(list *) *]
+  !!
+::
+::  +peek: external inspect
+::
+++  peek
+  |=  =path
+  ^-  (unit (unit *))
+  ``?=(^ cached-hoon.k)
+::
+::  +poke: external apply
+::
+++  poke
+  |=  [eny=@ our=@ux now=@da dat=*]
+  ^-  [(list effect) choo-state]
+  =/  sof-cau=(unit cause)  ((soft cause) dat)
+  ?~  sof-cau
+    ~&  "cause incorrectly formatted!"
+    !!
+  =/  =cause  u.sof-cau
+  ?:  ?=(%input -.cause)
+    ?>  ?=(^ cached-hoon.k)
+    =/  parsed
+      %-  mole
+      |.((ream +.cause))
+    ?~  parsed
+      ~&  "failed to parse!"
+      [~ k]
+    =/  honc  $:u.cached-hoon.k
+    =/  compiled
+      %-  mole
+      |.  (~(mint ut p.honc) %noun u.parsed)
+    ?~  compiled
+      ~&  "failed to compile!"
+      [~ k]
+    =/  ran
+      %-  mole
+      |.  (slap honc u.parsed)
+    ?~  ran
+      ~&  "failed to run!"
+      [~ k]
+    ~&  u.ran
+    [~ k]
+  ?:  ?=(%boot -.cause)
+    ?:  ?=(^ cached-hoon.k)
+      [~ k]
+    ~&  %building-hoon
+    [~ k(cached-hoon `(build-honc hoon-txt.cause))]
+  =/  entry  (stab entry.cause)
+  =/  dir
+    %-  ~(gas by *(map path cord))
+    (turn directory.cause |=((pair @t @t) [(stab p) q]))
+  ?>  ?=(^ cached-hoon.k)
+  :_  k
+  :_  ~
+  :-  %jam
+  %-  ~(create builder u.cached-hoon.k)
+  [entry dir]
+--
+::
+::  build system
+::
+=>
+::
+::  dependency system
+::
+|%
++$  raut
+  ::  resolved taut - pax contains real path to file after running taut through +get-fit
+  [face=(unit @tas) pax=path]
+++  rile
+  ::  resolved pile
+  $:  sur=(list raut)
+      lib=(list raut)
+      raw=(list raut)
+      bar=(list raut)
+      =hoon
+  ==
+::
+++  to-wain                                           ::  cord to line list
+  |=  txt=cord
+  ^-  wain
+  ?~  txt  ~
+  =/  len=@  (met 3 txt)
+  =/  cut  =+(cut -(a 3, c 1, d txt))
+  =/  sub  sub
+  =|  [i=@ out=wain]
+  |-  ^+  out
+  =+  |-  ^-  j=@
+      ?:  ?|  =(i len)
+              =(10 (cut(b i)))
+          ==
+        i
+      $(i +(i))
+    =.  out  :_  out
+    (cut(b i, c (sub j i)))
+  ?:  =(j len)
+    (flop out)
+  $(i +(j))
+::
+++  parse-pile
+  |=  [pax=path tex=tape]
+  ^-  pile
+  =/  [=hair res=(unit [=pile =nail])]
+    %-  road  |.
+    ((pile-rule pax) [1 1] tex)
+  ?^  res  pile.u.res
+  %-  mean
+  =/  lyn  p.hair
+  =/  col  q.hair
+  ^-  (list tank)
+  :~  leaf+"syntax error at [{<lyn>} {<col>}] in {<pax>}"
+    ::
+      =/  =wain  (to-wain (crip tex))
+      ?:  (gth lyn (lent wain))
+        '<<end of file>>'
+      (snag (dec lyn) wain)
+    ::
+      leaf+(runt [(dec col) '-'] "^")
+  ==
+::
+++  pile-rule
+  |=  pax=path
+  %-  full
+  %+  ifix
+    :_  gay
+    ::  parse optional /? and ignore
+    ::
+    ;~(plug gay (punt ;~(plug fas wut gap dem gap)))
+  |^
+  ;~  plug
+    %+  cook  (bake zing (list (list taut)))
+    %+  rune  hep
+    (most ;~(plug com gaw) taut-rule)
+  ::
+    %+  cook  (bake zing (list (list taut)))
+    %+  rune  lus
+    (most ;~(plug com gaw) taut-rule)
+  ::
+    %+  rune  tis
+    ;~(plug sym ;~(pfix gap stap))
+  ::
+    %+  rune  tar
+    ;~  (glue gap)
+      sym
+      ;~(pfix cen sym)
+      ;~(pfix stap)
+    ==
+  ::
+    %+  stag  %tssg
+    (most gap tall:(vang & pax))
+  ==
+  ::
+  ++  pant
+    |*  fel=rule
+    ;~(pose fel (easy ~))
+  ::
+  ++  mast
+    |*  [bus=rule fel=rule]
+    ;~(sfix (more bus fel) bus)
+  ::
+  ++  rune
+    |*  [bus=rule fel=rule]
+    %-  pant
+    %+  mast  gap
+    ;~(pfix fas bus gap fel)
+  --
+::
+++  taut-rule
+  %+  cook  |=(taut +<)
+  ;~  pose
+    (stag ~ ;~(pfix tar sym))               ::  *foo -> [~ %foo]
+    ;~(plug (stag ~ sym) ;~(pfix tis sym))  ::  bar=foo -> [[~ %bar] %foo]
+    (cook |=(a=term [`a a]) sym)            ::  foo    -> [[~ %foo] %foo]
+  ==
+::
+::  $taut: file import from /lib or /sur
+::
++$  taut  [face=(unit term) pax=term]
+++  segments
+  |=  suffix=@tas
+  ^-  (list path)
+  =/  parser
+    (most hep (cook crip ;~(plug ;~(pose low nud) (star ;~(pose low nud)))))
+  =/  torn=(list @tas)  (fall (rush suffix parser) ~[suffix])
+  %-  flop
+  |-  ^-  (list (list @tas))
+  ?<  ?=(~ torn)
+  ?:  ?=([@ ~] torn)
+    ~[torn]
+  %-  zing
+  %+  turn  $(torn t.torn)
+  |=  s=(list @tas)
+  ^-  (list (list @tas))
+  ?>  ?=(^ s)
+  ~[[i.torn s] [(crip "{(trip i.torn)}-{(trip i.s)}") t.s]]
+::
+++  get-fit
+  |=  [pre=@ta pax=@tas dir=(map path cord)]
+  ^-  (unit path)
+  =/  paz=(list path)  (segments pax)
+  |-
+  ?~  paz  ~
+  =/  last=term  (rear i.paz)
+  =.  i.paz   `path`(snip i.paz)
+  =/  puz
+    ^-  path
+    %+  snoc
+      `path`[pre i.paz]
+    `@ta`(rap 3 ~[last %'.' %hoon])
+  ?^  (~(get by dir) puz)
+    `puz
+  $(paz t.paz)
+::  preprocessed hoon file
+++  pile
+  $:  sur=(list taut)  ::  /-
+      lib=(list taut)  ::  /+
+      raw=(list [face=term =path])
+      bar=(list [face=term mark-unsupported=@tas =path])
+      =hoon
+  ==
+::
+++  resolve-pile
+  ::  turn fits into resolved path suffixes
+  |=  [=pile dir=(map path cord)]
+  ^-  rile
+  %=  pile
+    sur  (turn sur.pile |=(taut [face (need (get-fit %sur pax dir))]))
+    lib  (turn lib.pile |=(taut [face (need (get-fit %lib pax dir))]))
+      raw
+    %+  turn  raw.pile
+    |=  [face=term pax=path]
+    [`face `path`(snoc pax %hoon)]
+  ::
+      bar
+    %+  turn  bar.pile
+    |=  [face=term mark-unsupported=@tas pax=path]
+    ?:  =(mark-unsupported %hoon)
+      [`face `path`(snoc pax %hoon)]
+    ~&  unsupported-mark+[mark-unsupported pax]
+    !!
+  ==
+--
+::
+::  builder core
+::
+|_  honc=(trap vase)
+::
+++  build-honc
+  |=  hoon-txt=cord
+  ^-  (trap vase)
+  (swet *(trap vase) (ream hoon-txt))
+::
+++  import-graph
+  $+  import-graph
+  $~  [*path ~ ~ ~ ~ *(unit @tas) *hoon]  ::  not needed in the dojo but here for some reason
+  $:  =path
+      sur=(list import-graph)
+      lib=(list import-graph)
+      raw=(list import-graph)
+      bar=(list import-graph)
+      face=(unit @tas)  ::  the face that this node of the import graph has
+      =hoon
+  ==
+::
+++  create
+  |=  [entry=path dir=(map path cord)]
+  ^-  (trap)
+  =/  dir-hash  `@uvI`(mug dir)
+  ~&  dir-hash+dir-hash
+  =/  graph  (make-import-graph ~ entry 0 ~ dir)
+  ::  +shot calls the kernel gate to tell it the hash of the zkvm desk
+  =;  ker-gen
+    =>  %+  shot  ker-gen
+        =>  d=!>(dir-hash)
+        |.(d)
+    |.(+:^$)
+  %-  head
+  (compile-graph (head graph) ~)
+::
+++  make-import-graph
+  |=  [face=(unit @tas) suf=path depth=@ cache=(map path import-graph) dir=(map path cord)]
+  ^-  [import-graph (map path import-graph)]
+  ~&  building-graph-for+[depth=depth suf]
+  ?^  existing=(~(get by cache) suf)
+    ~&  >  "reusing cached graph for {<suf>}"
+    [u.existing(face face) cache]  ::  make sure to use the provided face
+  =/  rile  (resolve-pile (parse-pile suf (get-hoon suf dir)) dir)
+  =^  new-sur=(list import-graph)  cache
+    %^  spin  sur.rile  cache
+    |=  [raut cache=(map path import-graph)]
+    (make-import-graph face pax +(depth) cache dir)
+  =^  new-lib=(list import-graph)  cache
+    %^  spin  lib.rile  cache
+    |=  [raut cache=(map path import-graph)]
+    (make-import-graph face pax +(depth) cache dir)
+  =^  new-raw=(list import-graph)  cache
+    %^  spin  raw.rile  cache
+    |=  [raut cache=(map path import-graph)]
+    (make-import-graph face pax +(depth) cache dir)
+  =/  graph=import-graph
+    :*  suf
+        sur=new-sur
+        lib=new-lib
+        raw=new-raw
+        bar=~
+        face
+        hoon.rile
+    ==
+  =/  no-face=_graph
+    graph(face `%no-cache-entry-face)
+  :-  graph
+  (~(put by cache) suf no-face)
+::
+++  compile-graph
+  ::  accepts an import-graph and compiles it down to a vase
+  ::
+  |=  [graph=import-graph cache=(map path (trap vase))]
+  ^-  [(trap vase) cache=(map path (trap vase))]
+  |^
+  ::  recursively compile each dependency then cons them all together
+  ::  (base case is when both sur and lib are ~)
+  ~&  "processing {<path.graph>}"
+  ?^  existing=(~(get by cache) path.graph)
+    ~&  >  "reusing cached vase for {<path.graph>}"
+    [(label-vase u.existing face.graph) cache]
+  =^  surs  cache   (spin sur.graph cache compile-graph)
+  =^  libs  cache   (spin lib.graph cache compile-graph)
+  =^  raws  cache   (spin raw.graph cache compile-graph)
+  =/  sur-all=(trap vase)  (roll p.surs slew)
+  =/  lib-all=(trap vase)  (roll p.libs slew)
+  =/  raw-all=(trap vase)  (roll p.raws slew)
+  =/  deps=(trap vase)
+    ::  we must always make hoon.hoon available to each `hoon.graph`
+    ::  in case it's not available on account of being hidden behind a face in other dependencies
+    ::
+    ::  TODO make sure there are no bunted vases in here
+    =-  (roll - |=([v=(trap vase) a=(trap vase)] (slew a v)))
+    %+  murn  ~[lib-all sur-all raw-all honc]
+    |=  dep=(trap vase)
+    ?:  =(*(trap vase) dep)  ~
+    `dep
+  ::  compile the current `hoon.graph` against its compiled dependencies
+  ::
+  =/  compiled=(trap vase)
+    (swet deps hoon.graph)
+  ~&  compiled+path.graph
+  ::  cache the vase before adding the face so that alias can be handled jit when pulling from cache
+  ::
+  =.  cache     (~(put by cache) path.graph compiled)
+  =.  compiled  (label-vase compiled face.graph)
+  [compiled cache]
+  ::
+  ++  label-vase
+    |=  [vaz=(trap vase) face=(unit @tas)]
+    ^-  (trap vase)
+    ?~  face  vaz
+    =>  [vaz=vaz face=u.face]
+    |.
+    =/  vas  $:vaz
+    [[%face face p.vas] q.vas]
+  --
+::
+++  slew
+  |=  [hed=(trap vase) tal=(trap vase)]
+  ^-  (trap vase)
+  =>  +<
+  |.
+  =+  [bed bal]=[$:hed $:tal]
+  [[%cell p:bed p:bal] [q:bed q:bal]]
+::  +shot: deferred slam
+::
+::  NOTE: this should never run inside of a trap. if it does, the builder
+::  dependencies will leak into the result.
+::
+++  shot
+  |=  [gat=(trap vase) sam=(trap vase)]
+  ^-  (trap vase)
+  =/  [typ=type gen=hoon]
+    :-  [%cell p:$:gat p:$:sam]
+    [%cnsg [%$ ~] [%$ 2] [%$ 3] ~]
+  =+  gun=(~(mint ut typ) %noun gen)
+  =>  [typ=p.gun +<.$]
+  |.
+  [typ .*([q:$:gat q:$:sam] [%9 2 %10 [6 %0 3] %0 2])]
+::
+::  +swet: deferred +slap
+::  NOTE: this is +swat but with a bug fixed that caused a space leak in
+::  the resulting trap vases.
+::
+++  swet
+  |=  [tap=(trap vase) gen=hoon]
+  ^-  (trap vase)
+  =/  gun  (~(mint ut p:$:tap) %noun gen)
+  =>  [gun=gun tap=tap]
+  |.  ~+
+  [p.gun .*(q:$:tap q.gun)]
+::
+++  get-hoon
+  ::  produces the hoon source at the given path
+  |=  [pax=path dir=(map path cord)]
+  ^-  tape
+  %-  trip
+  (~(got by dir) pax)
+::
+++  is-graph-leaf
+  |=  import-graph
+  ^-  ?
+  &(=(~ sur) =(~ lib))
+--
diff --git a/repl/hoon/lib/wrapper.hoon b/repl/hoon/lib/wrapper.hoon
new file mode 100644
index 0000000..8701a60
--- /dev/null
+++ b/repl/hoon/lib/wrapper.hoon
@@ -0,0 +1,89 @@
+|%
++$  goof    [mote=term =tang]
++$  wire    path
++$  ovum    [=wire =input]
++$  crud    [=goof =input]
++$  input   [eny=@ our=@ux now=@da cause=*]
+::
+++  keep
+  |*  inner=mold
+  =>
+  |%
+  +$  inner-state  inner
+  +$  outer-state  [desk-hash=(unit @uvI) internal=inner]
+  +$  outer-fort
+    $_  ^|
+    |_  outer-state
+    ++  load
+      |~  arg=*
+      *[(list *) *]
+    ++  peek
+      |~  arg=path
+      *(unit (unit *))
+    ++  poke
+      |~  [num=@ ovum=*]
+      *[(list *) *]
+    ++  wish
+      |~  txt=@
+      **
+    --
+  ::
+  +$  fort
+    $_  ^|
+    |_  state=inner-state
+    ++  load
+      |~  arg=*
+      *[(list *) *]
+    ++  peek
+      |~  arg=path
+      *(unit (unit *))
+    ++  poke
+      |~  arg=input
+      *[(list *) inner-state]
+    --
+  --
+  ::
+  |=  inner=fort
+  |=  hash=@uvI
+  =<  .(desk-hash.outer `hash)
+  |_  outer=outer-state
+  ++  load
+    |=  arg=*
+    ^-  [(list *) *]
+    (load:inner arg)
+  ::
+  ++  peek
+    |=  arg=path
+    ^-  (unit (unit *))
+    (peek:inner arg)
+  ::
+  ++  wish
+    |=  txt=@
+    ^-  *
+    q:(slap !>(~) (ream txt))
+  ::
+  ++  poke
+    |=  [num=@ ovum=*]
+    ^-  [(list *) _..poke]
+    ?+   ovum  ~&("invalid arg: {<ovum>}" ~^..poke)
+        [[%$ %arvo ~] *]
+      =/  g  ((soft crud) +.ovum)
+      ?~  g  ~&(%invalid-goof ~^..poke)
+      =-  [~ ..poke]
+      (slog tang.goof.u.g)
+    ::
+        [[%poke ~] *]
+      =/  ovum  ((soft ^ovum) ovum)
+      ?~  ovum  ~&("invalid arg: {<ovum>}" ~^..poke)
+      =/  o  ((soft input) input.u.ovum)
+      ?~  o
+        ~&  "could not mold poke type: {<ovum>}"
+        =+  (road |.(;;(^^ovum ovum)))
+        ~^..poke
+      =^  effects  internal.outer
+        (poke:inner input.u.ovum)
+      =.  state.inner  internal.outer
+      [effects ..poke(internal.outer internal.outer)]
+    ==
+  --
+--
diff --git a/repl/main.rs b/repl/main.rs
new file mode 100644
index 0000000..32fb254
--- /dev/null
+++ b/repl/main.rs
@@ -0,0 +1,96 @@
+use std::io::Write;
+use tracing::debug;
+
+use crown::kernel::form::Kernel;
+use bytes::Bytes;
+use crown::kernel::boot;
+use crown::{AtomExt, NounExt};
+use sword::noun::{Atom, D, T};
+use sword_macros::tas;
+use tokio::fs::File;
+use tokio::io::{AsyncWriteExt};
+
+
+static KERNEL_JAM: &[u8] =
+    include_bytes!(concat!(env!("CARGO_MANIFEST_DIR"), "/bootstrap/choo.jam"));
+
+static HOON_TXT: &[u8] =
+    include_bytes!(concat!(env!("CARGO_MANIFEST_DIR"), "/bootstrap/hoon-139.hoon"));
+
+#[tokio::main]
+async fn main() -> Result<(), Box<dyn std::error::Error>> {
+    let mut kernel = boot::setup(KERNEL_JAM, None, &[])?;
+
+    let hoon_cord =
+        Atom::from_bytes(kernel.serf.stack(), &Bytes::from(HOON_TXT)).as_noun();
+
+    let bootstrap_poke = T(kernel.serf.stack(), &[D(tas!(b"boot")), hoon_cord]);
+    let _ = kernel.poke(bootstrap_poke)?;
+
+    loop {
+        let line = readline()?;
+        let line = line.trim();
+        if line.is_empty() {
+            continue;
+        }
+
+        match respond(line, &mut kernel).await {
+            Ok(quit) => {
+                if quit {
+                    break;
+                }
+            }
+            Err(err) => {
+                write!(std::io::stdout(), "{err}").map_err(|e| e.to_string())?;
+                std::io::stdout().flush().map_err(|e| e.to_string())?;
+            }
+        }
+    }
+
+    Ok(())
+}
+
+fn readline() -> Result<String, String> {
+    write!(std::io::stdout(), "$ ").map_err(|e| e.to_string())?;
+    std::io::stdout().flush().map_err(|e| e.to_string())?;
+    let mut buffer = String::new();
+    std::io::stdin()
+        .read_line(&mut buffer)
+        .map_err(|e| e.to_string())?;
+    Ok(buffer)
+}
+
+async fn respond(line: &str, kernel: &mut Kernel) -> Result<bool, Box<dyn std::error::Error>> {
+
+    let input_noun = Atom::from_bytes(kernel.serf.stack(), &Bytes::from(line.as_bytes().to_vec())).as_noun();
+
+    let poke = T(
+        kernel.serf.stack(),
+        &[D(tas!(b"input")), input_noun],
+    );
+
+    let poke_result = kernel.poke(poke)?;
+
+    if let Ok(fec_it) = poke_result.as_cell() {
+        if let Ok(fec) = fec_it.head().as_cell() {
+            if fec.head().eq_bytes(b"jam") {
+                let mut fil = File::create("out.jam").await?;
+                fil.write_all(fec.tail().jam_self(kernel.serf.stack()).as_ref())
+                    .await?;
+
+                write!(std::io::stdout(), "jammed to out.jam").map_err(|e| e.to_string())?;
+                std::io::stdout().flush().map_err(|e| e.to_string())?;
+                Ok(false)
+            } else {
+                debug!("Unknown effect {:?}", fec_it.head());
+                Ok(true)
+            }
+        } else {
+            Ok(true)
+        }
+    } else {
+        // all done
+        Ok(true)
+    }
+}
+

From fd71b09feacb25d801e99a12eb8282859a586f3f Mon Sep 17 00:00:00 2001
From: tacryt-socryp <tacryt.socryp@gmail.com>
Date: Wed, 4 Sep 2024 20:57:38 -0500
Subject: [PATCH 2/3] repl: keep going after first command

---
 repl/main.rs | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/repl/main.rs b/repl/main.rs
index 32fb254..d5f7962 100644
--- a/repl/main.rs
+++ b/repl/main.rs
@@ -90,7 +90,7 @@ async fn respond(line: &str, kernel: &mut Kernel) -> Result<bool, Box<dyn std::e
         }
     } else {
         // all done
-        Ok(true)
+        Ok(false)
     }
 }
 

From 5eecd3b9a30c6cdfd786a2066d8ced662661e2c9 Mon Sep 17 00:00:00 2001
From: tacryt-socryp <tacryt.socryp@gmail.com>
Date: Wed, 4 Sep 2024 21:31:52 -0500
Subject: [PATCH 3/3] repl: prettier pretty printing

---
 repl/bootstrap/choo.jam   | Bin 549760 -> 549832 bytes
 repl/hoon/lib/kernel.hoon |   4 ++--
 repl/main.rs              |  10 +++++-----
 3 files changed, 7 insertions(+), 7 deletions(-)

diff --git a/repl/bootstrap/choo.jam b/repl/bootstrap/choo.jam
index 31a41eba49e38e9cc8007546a6952ef121ca18f9..cc570d63f3e31acf176df4fce561c8630c3780e5 100644
GIT binary patch
delta 52896
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zrLJ@E$hdGXFo6KE?d39UqyO<N=ZeL+{a6KOR?qAgvbL_oLvi!Tgcx>E;v>eZsQxa0
zhQVg2vw{q?cPC%Q)G5sZIPzsno@d>ejZYc)kJu;i2m*D6^M^Qlm|^o@B|7)lB|Ibs
zCjN;|@zW(OZfE<i9<;DNjn7n7oQC>LM+m2N1R&AhLnrDahxa$RIktTRc+g?uVf1M{
zPmut<fUbGTboa?Fn{ba*-xuz*O6Dai|CuI9E8ELNu#?+A0Xk1IH0p+!AI@i@tN_uG
gbpmo#0J=cPhblswa$RDUhHf3C$=km*tV@^w1N~n*2mk;8

diff --git a/repl/hoon/lib/kernel.hoon b/repl/hoon/lib/kernel.hoon
index 4f33ecb..f9fcf3a 100644
--- a/repl/hoon/lib/kernel.hoon
+++ b/repl/hoon/lib/kernel.hoon
@@ -70,8 +70,8 @@
     ?~  ran
       ~&  "failed to run!"
       [~ k]
-    ~&  u.ran
-    [~ k]
+    =-  [~ k]
+    (slog (sell u.ran)^~)
   ?:  ?=(%boot -.cause)
     ?:  ?=(^ cached-hoon.k)
       [~ k]
diff --git a/repl/main.rs b/repl/main.rs
index d5f7962..0390b49 100644
--- a/repl/main.rs
+++ b/repl/main.rs
@@ -71,18 +71,18 @@ async fn respond(line: &str, kernel: &mut Kernel) -> Result<bool, Box<dyn std::e
 
     let poke_result = kernel.poke(poke)?;
 
-    if let Ok(fec_it) = poke_result.as_cell() {
-        if let Ok(fec) = fec_it.head().as_cell() {
-            if fec.head().eq_bytes(b"jam") {
+    if let Ok(effect_list) = poke_result.as_cell() {
+        if let Ok(effect) = effect_list.head().as_cell() {
+            if effect.head().eq_bytes(b"jam") {
                 let mut fil = File::create("out.jam").await?;
-                fil.write_all(fec.tail().jam_self(kernel.serf.stack()).as_ref())
+                fil.write_all(effect.tail().jam_self(kernel.serf.stack()).as_ref())
                     .await?;
 
                 write!(std::io::stdout(), "jammed to out.jam").map_err(|e| e.to_string())?;
                 std::io::stdout().flush().map_err(|e| e.to_string())?;
                 Ok(false)
             } else {
-                debug!("Unknown effect {:?}", fec_it.head());
+                debug!("Unknown effect {:?}", effect_list.head());
                 Ok(true)
             }
         } else {