diff --git a/Project.toml b/Project.toml
index 048e597f..6ca22ef9 100644
--- a/Project.toml
+++ b/Project.toml
@@ -36,7 +36,7 @@ Enzyme = "0.13.118"
 EnzymeTestUtils = "0.2.5"
 JET = "0.9, 0.10"
 LinearAlgebra = "1"
-Mooncake = "0.4.195"
+Mooncake = "0.5"
 ParallelTestRunner = "2"
 Random = "1"
 SafeTestsets = "0.1"
diff --git a/test/testsuite/mooncake.jl b/test/testsuite/mooncake.jl
index 0ea1b018..dc15dde9 100644
--- a/test/testsuite/mooncake.jl
+++ b/test/testsuite/mooncake.jl
@@ -51,14 +51,10 @@ MatrixAlgebraKit.copy_input(::typeof(mc_copy_eigh_vals), A) = MatrixAlgebraKit.c
 MatrixAlgebraKit.copy_input(::typeof(mc_copy_eigh_trunc), A) = MatrixAlgebraKit.copy_input(eigh_trunc, A)
 MatrixAlgebraKit.copy_input(::typeof(mc_copy_eigh_trunc_no_error), A) = MatrixAlgebraKit.copy_input(eigh_trunc, A)
 
-make_mooncake_tangent(ΔAelem::T) where {T <: Real} = ΔAelem
-make_mooncake_tangent(ΔAelem::T) where {T <: Complex} = Mooncake.build_tangent(T, real(ΔAelem), imag(ΔAelem))
-make_mooncake_tangent(ΔA::AbstractMatrix{<:Real}) = ΔA
-make_mooncake_tangent(ΔA::AbstractVector{<:Real}) = ΔA
-make_mooncake_tangent(ΔA::AbstractMatrix{T}) where {T <: Complex} = map(make_mooncake_tangent, ΔA)
-make_mooncake_tangent(ΔA::AbstractVector{T}) where {T <: Complex} = map(make_mooncake_tangent, ΔA)
-make_mooncake_tangent(ΔD::Diagonal{T}) where {T <: Real} = Mooncake.build_tangent(typeof(ΔD), diagview(ΔD))
-make_mooncake_tangent(ΔD::Diagonal{T}) where {T <: Complex} = Mooncake.build_tangent(typeof(ΔD), map(make_mooncake_tangent, diagview(ΔD)))
+make_mooncake_tangent(ΔAelem::T) where {T <: Number} = ΔAelem
+make_mooncake_tangent(ΔA::Matrix) = ΔA
+make_mooncake_tangent(ΔA::Vector) = ΔA
+make_mooncake_tangent(ΔD::Diagonal) = Mooncake.build_tangent(typeof(ΔD), diagview(ΔD))
 
 make_mooncake_tangent(T::Tuple) = Mooncake.build_tangent(typeof(T), make_mooncake_tangent.(T)...)