diff --git a/test/mooncake.jl b/test/mooncake.jl
index c3917847..0c1b5d56 100644
--- a/test/mooncake.jl
+++ b/test/mooncake.jl
@@ -328,9 +328,20 @@ function copy_eigh_trunc!(A, DV, alg; kwargs...)
     return eigh_trunc!(A, DV, alg; kwargs...)
 end
 
+function copy_eigh_trunc_no_error(A, alg; kwargs...)
+    A = (A + A') / 2
+    return eigh_trunc_no_error(A, alg; kwargs...)
+end
+
+function copy_eigh_trunc_no_error!(A, DV, alg; kwargs...)
+    A = (A + A') / 2
+    return eigh_trunc_no_error!(A, DV, alg; kwargs...)
+end
+
 MatrixAlgebraKit.copy_input(::typeof(copy_eigh_full), A) = MatrixAlgebraKit.copy_input(eigh_full, A)
 MatrixAlgebraKit.copy_input(::typeof(copy_eigh_vals), A) = MatrixAlgebraKit.copy_input(eigh_vals, A)
 MatrixAlgebraKit.copy_input(::typeof(copy_eigh_trunc), A) = MatrixAlgebraKit.copy_input(eigh_trunc, A)
+MatrixAlgebraKit.copy_input(::typeof(copy_eigh_trunc_no_error), A) = MatrixAlgebraKit.copy_input(eigh_trunc, A)
 
 @timedtestset "EIGH AD Rules with eltype $T" for T in ETs
     rng = StableRNG(12345)
@@ -374,6 +385,9 @@ MatrixAlgebraKit.copy_input(::typeof(copy_eigh_trunc), A) = MatrixAlgebraKit.cop
                 dDVtrunc = Mooncake.build_tangent(typeof((ΔDtrunc, ΔVtrunc, zero(real(T)))), dDtrunc, dVtrunc, zero(real(T)))
                 Mooncake.TestUtils.test_rule(rng, copy_eigh_trunc, A, truncalg; mode = Mooncake.ReverseMode, output_tangent = dDVtrunc, atol = atol, rtol = rtol, is_primitive = false)
                 test_pullbacks_match(rng, copy_eigh_trunc!, copy_eigh_trunc, A, (D, V), (ΔD2, ΔV), truncalg; rdata = (Mooncake.NoRData(), Mooncake.NoRData(), zero(real(T))))
+                dDVtrunc = Mooncake.build_tangent(typeof((ΔDtrunc, ΔVtrunc)), dDtrunc, dVtrunc)
+                Mooncake.TestUtils.test_rule(rng, copy_eigh_trunc_no_error, A, truncalg; mode = Mooncake.ReverseMode, output_tangent = dDVtrunc, atol = atol, rtol = rtol, is_primitive = false)
+                test_pullbacks_match(rng, copy_eigh_trunc_no_error!, copy_eigh_trunc_no_error, A, (D, V), (ΔD2, ΔV), truncalg)
             end
             truncalg = TruncatedAlgorithm(alg, trunctol(; atol = maximum(abs, Ddiag) / 2))
             ind = MatrixAlgebraKit.findtruncated(Ddiag, truncalg.trunc)
@@ -386,6 +400,9 @@ MatrixAlgebraKit.copy_input(::typeof(copy_eigh_trunc), A) = MatrixAlgebraKit.cop
             dDVtrunc = Mooncake.build_tangent(typeof((ΔDtrunc, ΔVtrunc, zero(real(T)))), dDtrunc, dVtrunc, zero(real(T)))
             Mooncake.TestUtils.test_rule(rng, copy_eigh_trunc, A, truncalg; mode = Mooncake.ReverseMode, output_tangent = dDVtrunc, atol = atol, rtol = rtol, is_primitive = false)
             test_pullbacks_match(rng, copy_eigh_trunc!, copy_eigh_trunc, A, (D, V), (ΔD2, ΔV), truncalg; rdata = (Mooncake.NoRData(), Mooncake.NoRData(), zero(real(T))))
+            dDVtrunc = Mooncake.build_tangent(typeof((ΔDtrunc, ΔVtrunc)), dDtrunc, dVtrunc)
+            Mooncake.TestUtils.test_rule(rng, copy_eigh_trunc_no_error, A, truncalg; mode = Mooncake.ReverseMode, output_tangent = dDVtrunc, atol = atol, rtol = rtol, is_primitive = false)
+            test_pullbacks_match(rng, copy_eigh_trunc_no_error!, copy_eigh_trunc_no_error, A, (D, V), (ΔD2, ΔV), truncalg)
         end
     end
 end