diff --git a/Project.toml b/Project.toml
index 31d77496a..82f4d6616 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,6 +1,6 @@
 name = "ChainRules"
 uuid = "082447d4-558c-5d27-93f4-14fc19e9eca2"
-version = "1.57.0"
+version = "1.58.0"
 
 [deps]
 Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
diff --git a/src/rulesets/Base/arraymath.jl b/src/rulesets/Base/arraymath.jl
index 7fbf46062..078bb602a 100644
--- a/src/rulesets/Base/arraymath.jl
+++ b/src/rulesets/Base/arraymath.jl
@@ -351,7 +351,7 @@ function rrule(::typeof(\), A::AbstractVecOrMat{<:Real}, B::AbstractVecOrMat{<:R
 
     function backslash_pullback(ȳ)
         Ȳ = unthunk(ȳ)
-        
+
         Ȳf = Ȳ
         @static if VERSION >= v"1.9"
             # Need to ensure Ȳ is an array since since https://github.com/JuliaLang/julia/pull/44358
@@ -360,7 +360,7 @@ function rrule(::typeof(\), A::AbstractVecOrMat{<:Real}, B::AbstractVecOrMat{<:R
             end
         end
         Yf = Y
-        @static if VERSION >= v"1.9" 
+        @static if VERSION >= v"1.9"
             # Need to ensure Yf is an array since since https://github.com/JuliaLang/julia/pull/44358
             if !isa(Y, AbstractArray)
                 Yf = [Y]
@@ -371,7 +371,7 @@ function rrule(::typeof(\), A::AbstractVecOrMat{<:Real}, B::AbstractVecOrMat{<:R
             B̄ = A' \ Ȳf
             Ā = -B̄ * Y'
             t = (B - A * Y) * B̄'
-            @static if VERSION >= v"1.9" 
+            @static if VERSION >= v"1.9"
                 # Need to ensure t is an array since since https://github.com/JuliaLang/julia/pull/44358
                 if !isa(t, AbstractArray)
                     t = [t]
diff --git a/src/rulesets/Base/base.jl b/src/rulesets/Base/base.jl
index 9576abd98..28cc11d19 100644
--- a/src/rulesets/Base/base.jl
+++ b/src/rulesets/Base/base.jl
@@ -94,6 +94,7 @@ end
 
 @scalar_rule fma(x, y, z) (y, x, true)
 @scalar_rule muladd(x, y, z) (y, x, true)
+@scalar_rule muladd(x::Union{Number, ZeroTangent}, y::Union{Number, ZeroTangent}, z::Union{Number, ZeroTangent}) (y, x, true)
 @scalar_rule rem2pi(x, r::RoundingMode) (true, NoTangent())
 @scalar_rule(
     mod(x, y),
diff --git a/test/rulesets/Base/base.jl b/test/rulesets/Base/base.jl
index 36452da1e..9a5278747 100644
--- a/test/rulesets/Base/base.jl
+++ b/test/rulesets/Base/base.jl
@@ -153,6 +153,16 @@
         test_rrule(muladd, 10randn(), randn(), randn())
     end
 
+    @testset "muladd ZeroTangent" begin
+        test_frule(muladd, 2.0, 3.0, ZeroTangent())
+        test_frule(muladd, 2.0, ZeroTangent(), 4.0)
+        test_frule(muladd, ZeroTangent(), 3.0, 4.0)
+
+        test_rrule(muladd, 2.0, 3.0, ZeroTangent())
+        test_rrule(muladd, 2.0, ZeroTangent(), 4.0)
+        test_rrule(muladd, ZeroTangent(), 3.0, 4.0)
+    end
+
     @testset "fma" begin
         test_frule(fma, 10randn(), randn(), randn())
         test_rrule(fma, 10randn(), randn(), randn())