Package evaluation to test MooncakeSparse on Julia 1.12.7-DEV.45 (88b38b4bc0*) started at 2026-06-24T16:21:16.704


################################################################################
# Set-up
#

Installing PkgEval dependencies (TestEnv)...
  Activating project at `~/.julia/environments/v1.12`

Set-up completed after 9.45s


################################################################################
# Installation
#

Installing MooncakeSparse...
   Resolving package versions...
   Installed ArnoldiMethod ────── v0.4.0
   Installed Inflate ──────────── v0.1.5
   Installed ADTypes ──────────── v1.22.1
   Installed OrderedCollections ─ v1.8.2
   Installed StaticArraysCore ─── v1.4.4
   Installed MooncakeSparse ───── v0.2.0
   Installed Preferences ──────── v1.5.2
   Installed PrecompileTools ──── v1.3.4
   Installed StaticArrays ─────── v1.9.18
   Installed Statistics ───────── v1.11.1
   Installed DataStructures ───── v0.19.5
   Installed ChainRulesCore ───── v1.26.1
   Installed ExprTools ────────── v0.1.10
   Installed MacroTools ───────── v0.5.16
   Installed MistyClosures ────── v2.1.0
   Installed Compat ───────────── v4.18.1
   Installed Mooncake ─────────── v0.5.33
   Installed Graphs ───────────── v1.14.0
   Installed SimpleTraits ─────── v0.9.6
   Installed DispatchDoctor ───── v0.4.28
    Updating `~/.julia/environments/v1.12/Project.toml`
  [85e08d05] + MooncakeSparse v0.2.0
    Updating `~/.julia/environments/v1.12/Manifest.toml`
  [47edcb42] + ADTypes v1.22.1
  [ec485272] + ArnoldiMethod v0.4.0
  [d360d2e6] + ChainRulesCore v1.26.1
  [34da2185] + Compat v4.18.1
  [864edb3b] + DataStructures v0.19.5
  [8d63f2c5] + DispatchDoctor v0.4.28
  [e2ba6199] + ExprTools v0.1.10
  [86223c79] + Graphs v1.14.0
  [d25df0c9] + Inflate v0.1.5
  [1914dd2f] + MacroTools v0.5.16
  [dbe65cb8] + MistyClosures v2.1.0
  [da2b9cff] + Mooncake v0.5.33
  [85e08d05] + MooncakeSparse v0.2.0
⌅ [bac558e1] + OrderedCollections v1.8.2
  [aea7be01] + PrecompileTools v1.3.4
  [21216c6a] + Preferences v1.5.2
  [699a6c99] + SimpleTraits v0.9.6
  [90137ffa] + StaticArrays v1.9.18
  [1e83bf80] + StaticArraysCore v1.4.4
  [10745b16] + Statistics v1.11.1
  [56f22d72] + Artifacts v1.11.0
  [2a0f44e3] + Base64 v1.11.0
  [ade2ca70] + Dates v1.11.0
  [b77e0a4c] + InteractiveUtils v1.11.0
  [ac6e5ff7] + JuliaSyntaxHighlighting v1.12.0
  [8f399da3] + Libdl v1.11.0
  [37e2e46d] + LinearAlgebra v1.12.0
  [56ddb016] + Logging v1.11.0
  [d6f4376e] + Markdown v1.11.0
  [de0858da] + Printf v1.11.0
  [9a3f8284] + Random v1.11.0
  [ea8e919c] + SHA v0.7.0
  [9e88b42a] + Serialization v1.11.0
  [2f01184e] + SparseArrays v1.12.0
  [f489334b] + StyledStrings v1.11.0
  [fa267f1f] + TOML v1.0.3
  [8dfed614] + Test v1.11.0
  [cf7118a7] + UUIDs v1.11.0
  [4ec0a83e] + Unicode v1.11.0
  [e66e0078] + CompilerSupportLibraries_jll v1.3.0+1
  [4536629a] + OpenBLAS_jll v0.3.29+0
  [bea87d4a] + SuiteSparse_jll v7.8.3+2
  [8e850b90] + libblastrampoline_jll v5.15.0+0
        Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`

Installation completed after 6.85s


################################################################################
# Precompilation
#

Precompiling PkgEval dependencies...
Precompiling packages...
   5508.1 ms  ✓ TestEnv
  1 dependency successfully precompiled in 6 seconds. 26 already precompiled.
  24 dependencies precompiled but different versions are currently loaded (ArgTools, Base64, Dates, Downloads, JuliaSyntaxHighlighting, LibCURL, LibCURL_jll, LibGit2, LibGit2_jll, LibSSH2_jll, Logging, Markdown, MozillaCACerts_jll, NetworkOptions, OpenSSL_jll, Pkg, Printf, StyledStrings, TOML, Tar, UUIDs, Zlib_jll, nghttp2_jll and p7zip_jll). Restart julia to access the new versions. Otherwise, 1 dependent of these packages may trigger further precompilation to work with the unexpected versions.

Precompiling package dependencies...
Precompiling packages...
   4252.4 ms  ✓ OrderedCollections
    743.8 ms  ✓ MistyClosures
   1004.6 ms  ✓ Inflate
   1121.0 ms  ✓ Statistics
    848.4 ms  ✓ ExprTools
   7375.7 ms  ✓ MacroTools
   1464.9 ms  ✓ ADTypes
   1134.2 ms  ✓ StaticArraysCore
   4514.8 ms  ✓ Compat
   1159.3 ms  ✓ Preferences
   3617.0 ms  ✓ DataStructures
   1384.9 ms  ✓ Statistics → SparseArraysExt
   3140.5 ms  ✓ SimpleTraits
    865.8 ms  ✓ Compat → CompatLinearAlgebraExt
   1029.3 ms  ✓ PrecompileTools
   6883.2 ms  ✓ DispatchDoctor
   5310.2 ms  ✓ ChainRulesCore
   7087.1 ms  ✓ Aqua
  18051.6 ms  ✓ StaticArrays
   4215.6 ms  ✓ ChainRulesCore → ChainRulesCoreSparseArraysExt
    872.8 ms  ✓ ADTypes → ADTypesChainRulesCoreExt
   1444.6 ms  ✓ DispatchDoctor → DispatchDoctorChainRulesCoreExt
   4436.1 ms  ✓ StaticArrays → StaticArraysChainRulesCoreExt
   1385.0 ms  ✓ StaticArrays → StaticArraysStatisticsExt
   6834.9 ms  ✓ ArnoldiMethod
  13933.2 ms  ✓ Graphs
 255785.5 ms  ✓ Mooncake
  23719.5 ms  ✓ MooncakeSparse
  28 dependencies successfully precompiled in 384 seconds. 31 already precompiled.
  24 dependencies precompiled but different versions are currently loaded (ArgTools, Base64, Dates, Downloads, JuliaSyntaxHighlighting, LibCURL, LibCURL_jll, LibGit2, LibGit2_jll, LibSSH2_jll, Logging, Markdown, MozillaCACerts_jll, NetworkOptions, OpenSSL_jll, Pkg, Printf, StyledStrings, TOML, Tar, UUIDs, Zlib_jll, nghttp2_jll and p7zip_jll). Restart julia to access the new versions. Otherwise, 20 dependents of these packages may trigger further precompilation to work with the unexpected versions.

Precompilation completed after 408.34s


################################################################################
# Testing
#

     Testing MooncakeSparse
      Status `/tmp/jl_KDE1c7/Project.toml`
  [4c88cf16] Aqua v0.8.16
  [da2b9cff] Mooncake v0.5.33
  [85e08d05] MooncakeSparse v0.2.0
  [37e2e46d] LinearAlgebra v1.12.0
  [9a3f8284] Random v1.11.0
  [2f01184e] SparseArrays v1.12.0
  [8dfed614] Test v1.11.0
      Status `/tmp/jl_KDE1c7/Manifest.toml`
  [47edcb42] ADTypes v1.22.1
  [4c88cf16] Aqua v0.8.16
  [ec485272] ArnoldiMethod v0.4.0
  [d360d2e6] ChainRulesCore v1.26.1
  [34da2185] Compat v4.18.1
  [864edb3b] DataStructures v0.19.5
  [8d63f2c5] DispatchDoctor v0.4.28
  [e2ba6199] ExprTools v0.1.10
  [86223c79] Graphs v1.14.0
  [d25df0c9] Inflate v0.1.5
  [1914dd2f] MacroTools v0.5.16
  [dbe65cb8] MistyClosures v2.1.0
  [da2b9cff] Mooncake v0.5.33
  [85e08d05] MooncakeSparse v0.2.0
⌅ [bac558e1] OrderedCollections v1.8.2
  [aea7be01] PrecompileTools v1.3.4
  [21216c6a] Preferences v1.5.2
  [699a6c99] SimpleTraits v0.9.6
  [90137ffa] StaticArrays v1.9.18
  [1e83bf80] StaticArraysCore v1.4.4
  [10745b16] Statistics v1.11.1
  [0dad84c5] ArgTools v1.1.2
  [56f22d72] Artifacts v1.11.0
  [2a0f44e3] Base64 v1.11.0
  [ade2ca70] Dates v1.11.0
  [f43a241f] Downloads v1.7.0
  [7b1f6079] FileWatching v1.11.0
  [b77e0a4c] InteractiveUtils v1.11.0
  [ac6e5ff7] JuliaSyntaxHighlighting v1.12.0
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2 v1.11.0
  [8f399da3] Libdl v1.11.0
  [37e2e46d] LinearAlgebra v1.12.0
  [56ddb016] Logging v1.11.0
  [d6f4376e] Markdown v1.11.0
  [ca575930] NetworkOptions v1.3.0
  [44cfe95a] Pkg v1.12.1
  [de0858da] Printf v1.11.0
  [9a3f8284] Random v1.11.0
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization v1.11.0
  [2f01184e] SparseArrays v1.12.0
  [f489334b] StyledStrings v1.11.0
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test v1.11.0
  [cf7118a7] UUIDs v1.11.0
  [4ec0a83e] Unicode v1.11.0
  [e66e0078] CompilerSupportLibraries_jll v1.3.0+1
  [deac9b47] LibCURL_jll v8.15.0+0
  [e37daf67] LibGit2_jll v1.9.0+0
  [29816b5a] LibSSH2_jll v1.11.3+1
  [14a3606d] MozillaCACerts_jll v2025.11.4
  [4536629a] OpenBLAS_jll v0.3.29+0
  [458c3c95] OpenSSL_jll v3.5.6+0
  [bea87d4a] SuiteSparse_jll v7.8.3+2
  [83775a58] Zlib_jll v1.3.1+2
  [8e850b90] libblastrampoline_jll v5.15.0+0
  [8e850ede] nghttp2_jll v1.64.0+1
  [3f19e933] p7zip_jll v17.7.0+0
        Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading.
     Testing Running tests...
Test Summary:          | Pass  Total     Time
Code Quality (Aqua.jl) |   10     10  2m46.4s
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, args::Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
    [9] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [10] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [11] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _7::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [12] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [13] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [14] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [15] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 8}}, args::Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [16] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [17] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [18] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}})
      @ Base.Experimental ./<missing>:0
   [19] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [20] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [21] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [22] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Adjoint{Float64, Matrix{Float64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Nothing, Tuple{var"#6#7", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Adjoint{Float64, Matrix{Float64}}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Adjoint{Float64, Matrix{Float64}}, Tuple{Int64, Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Adjoint{Float64, Matrix{Float64}}, Adjoint{Float64, Matrix{Float64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [23] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [24] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [25] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [26] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [27] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [28] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [29] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [30] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [31] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [32] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [33] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _7::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 8}}, args::Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [15] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [16] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [17] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ Base.Experimental ./<missing>:0
   [18] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [19] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [20] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [21] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Matrix{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Matrix{Float64}}, Nothing, Tuple{var"#6#7", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Matrix{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Matrix{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Matrix{Float64}, Tuple{Int64, Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Matrix{Float64}, Matrix{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [22] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [23] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [24] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [25] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [26] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, args::Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
    [9] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [10] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [11] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _7::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [12] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [13] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [14] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [15] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}}, false, 8}}, args::Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [16] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [17] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [18] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ Base.Experimental ./<missing>:0
   [19] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [20] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [21] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [22] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Vector{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Vector{Float64}}, Nothing, Tuple{var"#6#7", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Vector{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Vector{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Vector{Float64}, Tuple{Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Vector{Float64}, Vector{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [23] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [24] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [25] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [26] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [27] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [28] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [29] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [30] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [31] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [32] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [33] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _7::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 8}}, args::Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [15] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [16] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [17] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}})
      @ Base.Experimental ./<missing>:0
   [18] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [19] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [20] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [21] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Adjoint{Float64, Matrix{Float64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Nothing, Tuple{var"#6#7", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Adjoint{Float64, Matrix{Float64}}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Adjoint{Float64, Matrix{Float64}}, Tuple{Int64, Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Adjoint{Float64, Matrix{Float64}}, Adjoint{Float64, Matrix{Float64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [22] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [23] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [24] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [25] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [26] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _7::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 8}}, args::Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [15] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [16] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [17] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ Base.Experimental ./<missing>:0
   [18] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [19] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [20] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [21] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Matrix{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Matrix{Float64}}, Nothing, Tuple{var"#6#7", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Matrix{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Matrix{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Matrix{Float64}, Tuple{Int64, Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Matrix{Float64}, Matrix{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [22] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [23] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [24] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [25] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [26] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _7::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}}, false, 8}}, args::Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [15] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [16] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [17] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ Base.Experimental ./<missing>:0
   [18] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [19] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [20] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [21] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Vector{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Vector{Float64}}, Nothing, Tuple{var"#6#7", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Vector{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Vector{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Vector{Float64}, Tuple{Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Vector{Float64}, Vector{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [22] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [23] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [24] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [25] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [26] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _7::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [15] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [16] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}})
      @ Base.Experimental ./<missing>:0
   [17] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [18] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [19] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [20] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Adjoint{Float64, Matrix{Float64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Nothing, Tuple{var"#6#7", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Adjoint{Float64, Matrix{Float64}}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Adjoint{Float64, Matrix{Float64}}, Tuple{Int64, Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Adjoint{Float64, Matrix{Float64}}, Adjoint{Float64, Matrix{Float64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [21] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [22] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [23] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [24] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [25] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [26] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [27] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [28] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [29] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [30] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [31] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _7::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [15] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [16] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ Base.Experimental ./<missing>:0
   [17] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [18] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [19] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [20] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Matrix{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Matrix{Float64}}, Nothing, Tuple{var"#6#7", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Matrix{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Matrix{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Matrix{Float64}, Tuple{Int64, Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Matrix{Float64}, Matrix{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [21] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [22] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [23] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [24] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [25] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [26] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [27] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [28] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [29] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [30] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [31] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _7::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [15] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [16] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ Base.Experimental ./<missing>:0
   [17] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [18] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [19] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [20] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Vector{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Vector{Float64}}, Nothing, Tuple{var"#6#7", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Vector{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Vector{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Vector{Float64}, Tuple{Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Vector{Float64}, Vector{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [21] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [22] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [23] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [24] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [25] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [26] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [27] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [28] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [29] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [30] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [31] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _7::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [15] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [16] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}})
      @ Base.Experimental ./<missing>:0
   [17] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [18] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [19] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [20] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Adjoint{Float64, Matrix{Float64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Nothing, Tuple{var"#6#7", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Adjoint{Float64, Matrix{Float64}}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Adjoint{Float64, Matrix{Float64}}, Tuple{Int64, Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Adjoint{Float64, Matrix{Float64}}, Adjoint{Float64, Matrix{Float64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [21] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [22] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [23] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [24] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [25] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [26] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [27] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [28] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [29] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [30] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [31] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Hermitian{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Symmetric{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Matrix{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Adjoint{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}, Mooncake.Dual{Hermitian{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{Float64, Matrix{Float64}}, Tangent{@NamedTuple{data::Matrix{Float64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{Float64, Matrix{Float64}}, Tangent{@NamedTuple{parent::Matrix{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _7::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [15] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [16] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Matrix{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ Base.Experimental ./<missing>:0
   [17] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [18] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [19] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [20] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Matrix{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Matrix{Float64}}, Nothing, Tuple{var"#6#7", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Matrix{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Matrix{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Matrix{Float64}, Tuple{Int64, Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Matrix{Float64}, Matrix{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [21] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [22] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [23] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [24] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [25] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [26] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [27] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [28] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [29] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [30] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [31] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Adjoint{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{Float64}, SparseMatrixCSC{Float64, Int64}, Transpose{Float64, Vector{Float64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{Float64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Adjoint{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}, Mooncake.Dual{Transpose{Float64, Vector{Float64}}, Tangent{@NamedTuple{parent::Vector{Float64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _7::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [15] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [16] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{Float64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{Float64, Int64}, Vector{Float64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ Base.Experimental ./<missing>:0
   [17] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [18] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [19] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [20] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Vector{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Vector{Float64}}, Nothing, Tuple{var"#6#7", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Vector{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Vector{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Vector{Float64}, Tuple{Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Vector{Float64}, Vector{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [21] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [22] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [23] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [24] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [25] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [26] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [27] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [28] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [29] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [30] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [31] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
ldivwith: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112
  Test threw exception
  Expression: testadjoint(((A, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 =#
            real(sum(ldivwith(A, lu(Matrix(A)), R)))
        end), A, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] _copyto_impl!
      @ ./array.jl:308 [inlined]
    [7] copyto!
      @ ./array.jl:299 [inlined]
    [8] copyto!
      @ ./array.jl:322 [inlined]
    [9] copy_similar
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/LinearAlgebra.jl:499 [inlined]
   [10] _lucopy
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:349 [inlined]
   [11] #lu#186
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:341 [inlined]
   [12] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#1", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{Float64}, Vector{Int64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#1", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{Float64}, Vector{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.LAPACK.var"##getrf!#1", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrf!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}, Mooncake.Dual{Tuple{Matrix{Float64}, Vector{Int64}, Int64}, Tuple{Matrix{Float64}, Vector{Mooncake.NoTangent}, Mooncake.NoTangent}}}}, false, 5}}})(_2::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, _3::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, _4::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, _5::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _6::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [13] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}})(::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, ::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, ::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [14] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [15] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [16] _build_rule!(rule::Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, args::Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [17] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [18] #12
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [19] (::Tuple{Mooncake.LazyFRule{Tuple{Type{AssertionError}, String}, Mooncake.DerivedFRule{Tuple{Type{AssertionError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{AssertionError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{AssertionError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(copyto!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}}, Mooncake.DerivedFRule{Tuple{typeof(copyto!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(copyto!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, Mooncake.LazyFRule{Tuple{typeof(ldivwith), SparseMatrixCSC{Float64, Int64}, LU{Float64, Matrix{Float64}, Vector{Int64}}, Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{typeof(ldivwith), SparseMatrixCSC{Float64, Int64}, LU{Float64, Matrix{Float64}, Vector{Int64}}, Matrix{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(ldivwith), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, _3::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _4::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ Base.Experimental ./<missing>:0
   [20] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [21] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [22] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [23] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#12#13", SparseMatrixCSC{Float64, Int64}, Matrix{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, Matrix{Float64}}, Nothing, Tuple{var"#12#13", SparseMatrixCSC{Float64, Int64}, Matrix{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, Matrix{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#12#13", Tuple{}}, Mooncake.PreparedCacheInputSpec{SparseMatrixCSC{Float64, Int64}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Matrix{Float64}, Tuple{Int64, Int64}}}}, ::Tuple{var"#12#13", Mooncake.NoTangent}, ::Tuple{SparseMatrixCSC{Float64, Int64}, SparseMatrixCSC{Float64, Int64}}, ::Tuple{Matrix{Float64}, Matrix{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [24] testadjoint(::Function, ::SparseMatrixCSC{Float64, Int64}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [25] testadjoint(::Function, ::SparseMatrixCSC{Float64, Int64}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [26] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:111 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [33] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [34] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
ldivwith: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112
  Test threw exception
  Expression: testadjoint(((A, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 =#
            real(sum(ldivwith(A, lu(Matrix(A)), R)))
        end), A, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] _copyto_impl!
      @ ./array.jl:308 [inlined]
    [7] copyto!
      @ ./array.jl:299 [inlined]
    [8] copyto!
      @ ./array.jl:322 [inlined]
    [9] copy_similar
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/LinearAlgebra.jl:499 [inlined]
   [10] _lucopy
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:349 [inlined]
   [11] #lu#186
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:341 [inlined]
   [12] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#1", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{Float64}, Vector{Int64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#1", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{Float64}, Vector{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.LAPACK.var"##getrf!#1", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrf!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}, Mooncake.Dual{Tuple{Matrix{Float64}, Vector{Int64}, Int64}, Tuple{Matrix{Float64}, Vector{Mooncake.NoTangent}, Mooncake.NoTangent}}}}, false, 5}}})(_2::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, _3::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, _4::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, _5::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _6::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [13] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}})(::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, ::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, ::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [14] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [15] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [16] _build_rule!(rule::Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, args::Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [17] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [18] #12
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [19] (::Tuple{Mooncake.LazyFRule{Tuple{Type{AssertionError}, String}, Mooncake.DerivedFRule{Tuple{Type{AssertionError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{AssertionError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{AssertionError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(copyto!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}}, Mooncake.DerivedFRule{Tuple{typeof(copyto!), Matrix{Float64}, SparseMatrixCSC{Float64, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(copyto!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, _3::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, _4::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ Base.Experimental ./<missing>:0
   [20] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [21] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [22] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [23] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#12#13", SparseMatrixCSC{Float64, Int64}, Vector{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{Float64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, Vector{Float64}}, Nothing, Tuple{var"#12#13", SparseMatrixCSC{Float64, Int64}, Vector{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, Vector{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#12#13", Tuple{}}, Mooncake.PreparedCacheInputSpec{SparseMatrixCSC{Float64, Int64}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Vector{Float64}, Tuple{Int64}}}}, ::Tuple{var"#12#13", Mooncake.NoTangent}, ::Tuple{SparseMatrixCSC{Float64, Int64}, SparseMatrixCSC{Float64, Int64}}, ::Tuple{Vector{Float64}, Vector{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [24] testadjoint(::Function, ::SparseMatrixCSC{Float64, Int64}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [25] testadjoint(::Function, ::SparseMatrixCSC{Float64, Int64}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [26] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:111 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [33] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [34] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
ldivwith: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112
  Test threw exception
  Expression: testadjoint(((A, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 =#
            real(sum(ldivwith(A, lu(Matrix(A)), R)))
        end), A, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] _copyto_impl!
      @ ./array.jl:308 [inlined]
    [7] copyto!
      @ ./array.jl:299 [inlined]
    [8] copyto!
      @ ./array.jl:322 [inlined]
    [9] copy_similar
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/LinearAlgebra.jl:499 [inlined]
   [10] _lucopy
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:349 [inlined]
   [11] #lu#186
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:341 [inlined]
   [12] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#1", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{Float64}, Vector{Int64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#1", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{Float64}, Vector{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.LAPACK.var"##getrf!#1", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrf!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}, Mooncake.Dual{Tuple{Matrix{Float64}, Vector{Int64}, Int64}, Tuple{Matrix{Float64}, Vector{Mooncake.NoTangent}, Mooncake.NoTangent}}}}, false, 5}}})(_2::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, _3::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, _4::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, _5::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _6::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [13] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}})(::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, ::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, ::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [14] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [15] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [16] _build_rule!(rule::Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, args::Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [17] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [18] #12
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [19] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{Float64}, Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}}, Mooncake.DerivedFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{Float64}, Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.copyto_axcheck!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, Mooncake.LazyFRule{Tuple{typeof(ldivwith), Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, LU{Float64, Matrix{Float64}, Vector{Int64}}, Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{typeof(ldivwith), Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, LU{Float64, Matrix{Float64}, Vector{Int64}}, Matrix{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(ldivwith), Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, _3::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ Base.Experimental ./<missing>:0
   [20] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, ::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [21] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [22] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [23] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#12#13", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Matrix{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Matrix{Float64}}, Nothing, Tuple{var"#12#13", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Matrix{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Matrix{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#12#13", Tuple{}}, Mooncake.PreparedCacheInputSpec{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Matrix{Float64}, Tuple{Int64, Int64}}}}, ::Tuple{var"#12#13", Mooncake.NoTangent}, ::Tuple{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Matrix{Float64}, Matrix{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [24] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [25] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [26] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:111 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [33] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [34] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
ldivwith: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112
  Test threw exception
  Expression: testadjoint(((A, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 =#
            real(sum(ldivwith(A, lu(Matrix(A)), R)))
        end), A, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] _copyto_impl!
      @ ./array.jl:308 [inlined]
    [7] copyto!
      @ ./array.jl:299 [inlined]
    [8] copyto!
      @ ./array.jl:322 [inlined]
    [9] copy_similar
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/LinearAlgebra.jl:499 [inlined]
   [10] _lucopy
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:349 [inlined]
   [11] #lu#186
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:341 [inlined]
   [12] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#1", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{Float64}, Vector{Int64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#1", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{Float64}, Vector{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.LAPACK.var"##getrf!#1", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrf!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}, Mooncake.Dual{Tuple{Matrix{Float64}, Vector{Int64}, Int64}, Tuple{Matrix{Float64}, Vector{Mooncake.NoTangent}, Mooncake.NoTangent}}}}, false, 5}}})(_2::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, _3::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, _4::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, _5::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _6::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [13] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}})(::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, ::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, ::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [14] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [15] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [16] _build_rule!(rule::Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, args::Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [17] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [18] #12
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [19] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{Float64}, Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}}, Mooncake.DerivedFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{Float64}, Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.copyto_axcheck!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, _3::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ Base.Experimental ./<missing>:0
   [20] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, ::Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [21] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [22] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [23] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#12#13", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Vector{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Vector{Float64}}, Nothing, Tuple{var"#12#13", Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Vector{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Vector{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#12#13", Tuple{}}, Mooncake.PreparedCacheInputSpec{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Vector{Float64}, Tuple{Int64}}}}, ::Tuple{var"#12#13", Mooncake.NoTangent}, ::Tuple{Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Vector{Float64}, Vector{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [24] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [25] testadjoint(::Function, ::Hermitian{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [26] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:111 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [33] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [34] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
ldivwith: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112
  Test threw exception
  Expression: testadjoint(((A, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 =#
            real(sum(ldivwith(A, lu(Matrix(A)), R)))
        end), A, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] _copyto_impl!
      @ ./array.jl:308 [inlined]
    [7] copyto!
      @ ./array.jl:299 [inlined]
    [8] copyto!
      @ ./array.jl:322 [inlined]
    [9] copy_similar
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/LinearAlgebra.jl:499 [inlined]
   [10] _lucopy
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:349 [inlined]
   [11] #lu#186
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:341 [inlined]
   [12] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#1", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{Float64}, Vector{Int64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#1", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{Float64}, Vector{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.LAPACK.var"##getrf!#1", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrf!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}, Mooncake.Dual{Tuple{Matrix{Float64}, Vector{Int64}, Int64}, Tuple{Matrix{Float64}, Vector{Mooncake.NoTangent}, Mooncake.NoTangent}}}}, false, 5}}})(_2::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, _3::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, _4::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, _5::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _6::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [13] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}})(::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, ::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, ::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [14] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [15] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [16] _build_rule!(rule::Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, args::Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [17] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [18] #12
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [19] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{Float64}, Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}}, Mooncake.DerivedFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{Float64}, Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.copyto_axcheck!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, Mooncake.LazyFRule{Tuple{typeof(ldivwith), Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, LU{Float64, Matrix{Float64}, Vector{Int64}}, Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{typeof(ldivwith), Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, LU{Float64, Matrix{Float64}, Vector{Int64}}, Matrix{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(ldivwith), Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Matrix{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, _3::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ Base.Experimental ./<missing>:0
   [20] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, ::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [21] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [22] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [23] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#12#13", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Matrix{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Matrix{Float64}}, Nothing, Tuple{var"#12#13", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Matrix{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Matrix{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#12#13", Tuple{}}, Mooncake.PreparedCacheInputSpec{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Matrix{Float64}, Tuple{Int64, Int64}}}}, ::Tuple{var"#12#13", Mooncake.NoTangent}, ::Tuple{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Matrix{Float64}, Matrix{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [24] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [25] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [26] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:111 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [33] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [34] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
ldivwith: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112
  Test threw exception
  Expression: testadjoint(((A, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 =#
            real(sum(ldivwith(A, lu(Matrix(A)), R)))
        end), A, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] _copyto_impl!
      @ ./array.jl:308 [inlined]
    [7] copyto!
      @ ./array.jl:299 [inlined]
    [8] copyto!
      @ ./array.jl:322 [inlined]
    [9] copy_similar
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/LinearAlgebra.jl:499 [inlined]
   [10] _lucopy
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:349 [inlined]
   [11] #lu#186
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:341 [inlined]
   [12] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#1", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{Float64}, Vector{Int64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#1", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{Float64}, Vector{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.LAPACK.var"##getrf!#1", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrf!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}, Mooncake.Dual{Tuple{Matrix{Float64}, Vector{Int64}, Int64}, Tuple{Matrix{Float64}, Vector{Mooncake.NoTangent}, Mooncake.NoTangent}}}}, false, 5}}})(_2::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, _3::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, _4::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, _5::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, _6::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [13] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}})(::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, ::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, ::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, ::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [14] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [15] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [16] _build_rule!(rule::Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, args::Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [17] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [18] #12
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [19] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{Float64}, Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}}, Mooncake.DerivedFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{Float64}, Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.copyto_axcheck!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{Float64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{Float64}, Matrix{Float64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{Float64, Matrix{Float64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{Float64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{Float64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Float64, Float64}}}, false, 7}}})(_2::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, _3::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ Base.Experimental ./<missing>:0
   [20] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, ::Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Vector{Float64}, Vector{Float64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [21] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [22] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [23] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#12#13", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Vector{Float64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{Float64}, Vector{Float64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Vector{Float64}}, Nothing, Tuple{var"#12#13", Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Vector{Float64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{Float64}}}, uplo::Mooncake.NoTangent}}, Vector{Float64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#12#13", Tuple{}}, Mooncake.PreparedCacheInputSpec{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Vector{Float64}, Tuple{Int64}}}}, ::Tuple{var"#12#13", Mooncake.NoTangent}, ::Tuple{Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}}, ::Tuple{Vector{Float64}, Vector{Float64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [24] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [25] testadjoint(::Function, ::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [26] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:111 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [33] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [34] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, args::Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
    [9] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [10] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [11] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _7::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [12] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [13] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [14] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [15] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 8}}, args::Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [16] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [17] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [18] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._mapreduce), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{IndexLinear, Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{ComplexF64, ComplexF64}}}, false, 5}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}})
      @ Base.Experimental ./<missing>:0
   [19] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [20] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [21] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [22] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Adjoint{ComplexF64, Matrix{ComplexF64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Nothing, Tuple{var"#6#7", Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Adjoint{ComplexF64, Matrix{ComplexF64}}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tuple{Int64, Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, ::Tuple{Adjoint{ComplexF64, Matrix{ComplexF64}}, Adjoint{ComplexF64, Matrix{ComplexF64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [23] testadjoint(::Function, ::Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [24] testadjoint(::Function, ::Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [25] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [26] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [27] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [28] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [29] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [30] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [31] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [32] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [33] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _7::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 8}}, args::Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [15] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [16] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [17] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._mapreduce), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{IndexLinear, Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{ComplexF64, ComplexF64}}}, false, 5}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ Base.Experimental ./<missing>:0
   [18] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [19] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [20] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [21] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Matrix{ComplexF64}}, Nothing, Tuple{var"#6#7", Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Matrix{ComplexF64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Matrix{ComplexF64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Matrix{ComplexF64}, Tuple{Int64, Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, ::Tuple{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [22] testadjoint(::Function, ::Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [23] testadjoint(::Function, ::Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [24] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [25] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [26] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, args::Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
    [9] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [10] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [11] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _7::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [12] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [13] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [14] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [15] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}}, false, 8}}, args::Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [16] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [17] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [18] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{ComplexF64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{ComplexF64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{ComplexF64, ComplexF64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}})
      @ Base.Experimental ./<missing>:0
   [19] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [20] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [21] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [22] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Vector{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Vector{ComplexF64}}, Nothing, Tuple{var"#6#7", Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Vector{ComplexF64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Vector{ComplexF64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Vector{ComplexF64}, Tuple{Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, ::Tuple{Vector{ComplexF64}, Vector{ComplexF64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [23] testadjoint(::Function, ::Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [24] testadjoint(::Function, ::Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [25] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [26] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [27] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [28] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [29] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [30] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [31] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [32] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [33] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _7::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 8}}, args::Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [15] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [16] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [17] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._mapreduce), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{IndexLinear, Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{ComplexF64, ComplexF64}}}, false, 5}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}})
      @ Base.Experimental ./<missing>:0
   [18] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [19] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [20] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [21] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Adjoint{ComplexF64, Matrix{ComplexF64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Nothing, Tuple{var"#6#7", Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Adjoint{ComplexF64, Matrix{ComplexF64}}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tuple{Int64, Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, ::Tuple{Adjoint{ComplexF64, Matrix{ComplexF64}}, Adjoint{ComplexF64, Matrix{ComplexF64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [22] testadjoint(::Function, ::Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [23] testadjoint(::Function, ::Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [24] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [25] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [26] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Hermitian{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Symmetric{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Matrix{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Matrix{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Hermitian{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Symmetric{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{data::Matrix{ComplexF64}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Transpose{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _7::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 8}}, args::Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [15] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [16] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [17] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Matrix{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._mapreduce), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{IndexLinear, Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{ComplexF64, ComplexF64}}}, false, 5}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ Base.Experimental ./<missing>:0
   [18] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [19] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [20] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [21] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Matrix{ComplexF64}}, Nothing, Tuple{var"#6#7", Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Matrix{ComplexF64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Matrix{ComplexF64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Matrix{ComplexF64}, Tuple{Int64, Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, ::Tuple{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [22] testadjoint(::Function, ::Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [23] testadjoint(::Function, ::Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [24] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [25] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [26] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
lmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 =#
            real(sum(L * R))
        end), L, R)
  No frule!! available for foreigncall with primal argument types
  │ Tuple{Val{:utf8proc_isupper}, Val{Int32}, Tuple{Val{UInt32}}, Val{0},
  │ Val{(:ccall, 0x048b, false)}, UInt32, UInt32}. This problem has most likely
  │ arisen because there is a ccall somewhere in the function you are trying to
  │ differentiate, for which an frule!! has not been explicitly written. You have
  │ three options: write an frule!! for this foreigncall, write an frule!! for a
  │ Julia function that calls this foreigncall, or re-write your code to avoid this
  │ foreigncall entirely. If you believe that this error has arisen for some other
  │ reason than the above, or the above does not help you to workaround this
  │ problem, please open an issue.
  └
  
  Stacktrace:
    [1] throw_missing_foreigncall_rule_error(::Symbol, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Vararg{Any})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:21
    [2] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:utf8proc_isupper}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Int32}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{UInt32}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{(:ccall, 0x048b, false)}, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent}, ::Mooncake.Dual{UInt32, Mooncake.NoTangent})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:14
    [3] isuppercase
      @ ./strings/unicode.jl:428 [inlined]
    [4] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(lowercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(lowercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(lowercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.throw_invalid_char), Char}, Mooncake.DerivedFRule{Tuple{typeof(Base.throw_invalid_char), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.throw_invalid_char), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{InexactError}, Symbol, Any, Vararg{Any}}, Mooncake.DerivedFRule{Tuple{Type{InexactError}, Symbol, Tuple{Any, Vararg{Any}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{InexactError}, Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual}, Mooncake.Dual{InexactError, Tangent{@NamedTuple{func::Mooncake.NoTangent, args}}}}}, true, 3}}})(_2::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, _3::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
    [5] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [6] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
    [7] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
    [8] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
    [9] spdensemul!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:101 [inlined]
   [10] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._spmatmul!), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._spmatmul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(transpose), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._At_or_Ac_mul_B!), typeof(adjoint), Vector{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}, Transpose{ComplexF64, Vector{ComplexF64}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._At_or_Ac_mul_B!), Mooncake.NoTangent}, Mooncake.Dual{typeof(adjoint), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, Mooncake.DerivedFRule{Tuple{typeof(isuppercase), LinearAlgebra.WrapperChar}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(isuppercase), Mooncake.NoTangent}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}}, Mooncake.Dual{Bool, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}, Mooncake.LazyFRule{Tuple{typeof(uppercase), Char}, Mooncake.DerivedFRule{Tuple{typeof(uppercase), Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(uppercase), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Mooncake.Dual{Char, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.throw_uplo)}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.throw_uplo), Mooncake.NoTangent}}, Union{}}}, false, 1}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.wrap), Vector{ComplexF64}, Char}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.wrap), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Char, Mooncake.NoTangent}}, Union{Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}, Mooncake.Dual{Transpose{ComplexF64, Vector{ComplexF64}}, Tangent{@NamedTuple{parent::Vector{ComplexF64}}}}}}}, false, 3}}, Mooncake.DynamicFRule{Dict{Any, Any}}})(_2::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, _3::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, _4::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, _5::Mooncake.Dual{Char, Mooncake.NoTangent}, _6::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _7::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent}, _9::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [11] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}})(::Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, ::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, ::Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, ::Mooncake.Dual{Char, Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [12] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [13] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [14] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}}, false, 8}}, args::Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [15] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [16] #6
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [17] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays.spdensemul!), Vector{ComplexF64}, LinearAlgebra.WrapperChar, Char, SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays.spdensemul!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{LinearAlgebra.WrapperChar, Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}}, false, 8}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{ComplexF64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{ComplexF64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{ComplexF64, ComplexF64}}}, false, 7}}})(_2::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, _3::Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}})
      @ Base.Experimental ./<missing>:0
   [18] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, ::Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [19] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [20] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [21] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#6#7", Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Vector{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#6#7", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Vector{ComplexF64}}, Nothing, Tuple{var"#6#7", Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Vector{ComplexF64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Vector{ComplexF64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#6#7", Tuple{}}, Mooncake.PreparedCacheInputSpec{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Vector{ComplexF64}, Tuple{Int64}}}}, ::Tuple{var"#6#7", Mooncake.NoTangent}, ::Tuple{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, ::Tuple{Vector{ComplexF64}, Vector{ComplexF64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [22] testadjoint(::Function, ::Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [23] testadjoint(::Function, ::Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [24] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [25] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [26] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:93 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:94 [inlined]
rmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:100
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:100 =#
            real(sum(L * R))
        end), L, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] #_growend!##0
      @ ./array.jl:1152 [inlined]
    [7] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{Type{ConcurrencyViolationError}, String}, Mooncake.DerivedFRule{Tuple{Type{ConcurrencyViolationError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ConcurrencyViolationError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ConcurrencyViolationError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{ConcurrencyViolationError}, String}, Mooncake.DerivedFRule{Tuple{Type{ConcurrencyViolationError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ConcurrencyViolationError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ConcurrencyViolationError, Tangent{@NamedTuple{msg}}}}}, false, 2}}})(_2::Mooncake.Dual{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}, Tangent{@NamedTuple{a::Vector{Mooncake.NoTangent}, newmemlen::Mooncake.NoTangent, offset::Mooncake.NoTangent, newlen::Mooncake.NoTangent, len::Mooncake.NoTangent, memlen::Mooncake.NoTangent, mem::Memory{Mooncake.NoTangent}, ref::MemoryRef{Mooncake.NoTangent}}}})
      @ Base.Experimental ./<missing>:0
    [8] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}, Tangent{@NamedTuple{a::Vector{Mooncake.NoTangent}, newmemlen::Mooncake.NoTangent, offset::Mooncake.NoTangent, newlen::Mooncake.NoTangent, len::Mooncake.NoTangent, memlen::Mooncake.NoTangent, mem::Memory{Mooncake.NoTangent}, ref::MemoryRef{Mooncake.NoTangent}}}}}, Mooncake.Dual{MemoryRef{Int64}, MemoryRef{Mooncake.NoTangent}}}})(x::Mooncake.Dual{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}, Tangent{@NamedTuple{a::Vector{Mooncake.NoTangent}, newmemlen::Mooncake.NoTangent, offset::Mooncake.NoTangent, newlen::Mooncake.NoTangent, len::Mooncake.NoTangent, memlen::Mooncake.NoTangent, mem::Memory{Mooncake.NoTangent}, ref::MemoryRef{Mooncake.NoTangent}}}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [9] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [10] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [11] _build_rule!(rule::Mooncake.LazyFRule{Tuple{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}}, Mooncake.DerivedFRule{Tuple{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}, Tangent{@NamedTuple{a::Vector{Mooncake.NoTangent}, newmemlen::Mooncake.NoTangent, offset::Mooncake.NoTangent, newlen::Mooncake.NoTangent, len::Mooncake.NoTangent, memlen::Mooncake.NoTangent, mem::Memory{Mooncake.NoTangent}, ref::MemoryRef{Mooncake.NoTangent}}}}}, Mooncake.Dual{MemoryRef{Int64}, MemoryRef{Mooncake.NoTangent}}}}, false, 1}}, args::Tuple{Mooncake.Dual{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}, Tangent{@NamedTuple{a::Vector{Mooncake.NoTangent}, newmemlen::Mooncake.NoTangent, offset::Mooncake.NoTangent, newlen::Mooncake.NoTangent, len::Mooncake.NoTangent, memlen::Mooncake.NoTangent, mem::Memory{Mooncake.NoTangent}, ref::MemoryRef{Mooncake.NoTangent}}}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [12] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [13] _growat!
      @ ./array.jl:1169 [inlined]
   [14] (::Tuple{Mooncake.LazyFRule{Tuple{Base.var"#_growbeg!##0#_growbeg!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}}, Mooncake.DerivedFRule{Tuple{Base.var"#_growbeg!##0#_growbeg!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Base.var"#_growbeg!##0#_growbeg!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}, Tangent{@NamedTuple{a::Vector{Mooncake.NoTangent}, delta::Mooncake.NoTangent, newlen::Mooncake.NoTangent, offset::Mooncake.NoTangent, len::Mooncake.NoTangent, mem::Memory{Mooncake.NoTangent}, ref::MemoryRef{Mooncake.NoTangent}}}}}, Mooncake.Dual{MemoryRef{Int64}, MemoryRef{Mooncake.NoTangent}}}}, false, 1}}, Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}}, Mooncake.DerivedFRule{Tuple{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}, Tangent{@NamedTuple{a::Vector{Mooncake.NoTangent}, newmemlen::Mooncake.NoTangent, offset::Mooncake.NoTangent, newlen::Mooncake.NoTangent, len::Mooncake.NoTangent, memlen::Mooncake.NoTangent, mem::Memory{Mooncake.NoTangent}, ref::MemoryRef{Mooncake.NoTangent}}}}}, Mooncake.Dual{MemoryRef{Int64}, MemoryRef{Mooncake.NoTangent}}}}, false, 1}}, Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{Type{BoundsError}, Any, Int64}, Mooncake.DerivedFRule{Tuple{Type{BoundsError}, Any, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{BoundsError}, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{BoundsError, Tangent{@NamedTuple{a::Mooncake.PossiblyUninitTangent{Any}, i::Mooncake.PossiblyUninitTangent{Any}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}})(_2::Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, _3::Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, _4::Mooncake.Dual{Int64, Mooncake.NoTangent}, _5::Mooncake.Dual{Int64, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [15] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}})(::Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, ::Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, ::Mooncake.Dual{Int64, Mooncake.NoTangent}, ::Mooncake.Dual{Int64, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [16] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [17] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [18] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [19] _setindex_scalar!
      @ /opt/julia/share/julia/stdlib/v1.12/SparseArrays/src/sparsematrix.jl:3218 [inlined]
   [20] (::Tuple{Mooncake.LazyFRule{Tuple{Type{BoundsError}, Any, Tuple{Int64, Int64}}, Mooncake.DerivedFRule{Tuple{Type{BoundsError}, Any, Tuple{Int64, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{BoundsError}, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Tuple{Int64, Int64}, Mooncake.NoTangent}}, Mooncake.Dual{BoundsError, Tangent{@NamedTuple{a::Mooncake.PossiblyUninitTangent{Any}, i::Mooncake.PossiblyUninitTangent{Any}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base.print_to_string), String, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.print_to_string), Tuple{String, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.print_to_string), Mooncake.NoTangent}, Mooncake.Dual{Tuple{String, Int64}, Mooncake.NoTangent}}, Mooncake.Dual{String, Mooncake.NoTangent}}}, true, 2}}})(_2::Mooncake.Dual{typeof(SparseArrays._setindex_scalar!), Mooncake.NoTangent}, _3::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _4::Mooncake.Dual{ComplexF64, ComplexF64}, _5::Mooncake.Dual{Int64, Mooncake.NoTangent}, _6::Mooncake.Dual{Int64, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [21] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._setindex_scalar!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{ComplexF64, ComplexF64}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}})(::Mooncake.Dual{typeof(SparseArrays._setindex_scalar!), Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{ComplexF64, ComplexF64}, ::Mooncake.Dual{Int64, Mooncake.NoTangent}, ::Mooncake.Dual{Int64, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [22] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [23] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [24] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [25] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:1036 [inlined]
   [26] macro expansion
      @ ./simdloop.jl:77 [inlined]
   [27] _generic_matmatmul_nonadjtrans!
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:1035 [inlined]
   [28] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(SparseArrays._setindex_scalar!), SparseMatrixCSC{ComplexF64, Int64}, ComplexF64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._setindex_scalar!), SparseMatrixCSC{ComplexF64, Int64}, ComplexF64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._setindex_scalar!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{ComplexF64, ComplexF64}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 5}}})(_2::Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul_nonadjtrans!), Mooncake.NoTangent}, _3::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _4::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _5::Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, _6::Mooncake.Dual{Bool, Mooncake.NoTangent}, _7::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [29] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul_nonadjtrans!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}})(::Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul_nonadjtrans!), Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [30] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [31] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [32] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul_nonadjtrans!), SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul_nonadjtrans!), SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul_nonadjtrans!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 6}}, args::Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul_nonadjtrans!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [33] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [34] _generic_matmatmul!
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:1019 [inlined]
   [35] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.matmul_size_check_error), Tuple{Int64, Int64}, Tuple{Int64, Int64}}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.matmul_size_check_error), Tuple{Int64, Int64}, Tuple{Int64, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.matmul_size_check_error), Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64, Int64}, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64, Int64}, Mooncake.NoTangent}}, Union{}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.matmul_size_check_error), Tuple{Int64, Int64}, Tuple{Int64, Int64}, Tuple{Int64, Int64}}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.matmul_size_check_error), Tuple{Int64, Int64}, Tuple{Int64, Int64}, Tuple{Int64, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.matmul_size_check_error), Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64, Int64}, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64, Int64}, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64, Int64}, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul_nonadjtrans!), SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul_nonadjtrans!), SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul_nonadjtrans!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 6}}})(_2::Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul!), Mooncake.NoTangent}, _3::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _4::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _5::Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, _6::Mooncake.Dual{Bool, Mooncake.NoTangent}, _7::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [36] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}})(::Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul!), Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [37] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [38] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [39] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul!), SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul!), SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 6}}, args::Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [40] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [41] #8
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:100 [inlined]
   [42] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(spzeros), Type{ComplexF64}, Type{Int64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(spzeros), Type{ComplexF64}, Type{Int64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(spzeros), Mooncake.NoTangent}, Mooncake.Dual{Type{ComplexF64}, Mooncake.NoTangent}, Mooncake.Dual{Type{Int64}, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 5}}, Mooncake.LazyFRule{Tuple{Base.var"##sizehint!#81", Bool, Bool, typeof(sizehint!), Vector{Int64}, Int64}, Mooncake.DerivedFRule{Tuple{Base.var"##sizehint!#81", Bool, Bool, typeof(sizehint!), Vector{Int64}, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Base.var"##sizehint!#81", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(sizehint!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}}, false, 6}}, Mooncake.LazyFRule{Tuple{Base.var"##sizehint!#81", Bool, Bool, typeof(sizehint!), Vector{ComplexF64}, Int64}, Mooncake.DerivedFRule{Tuple{Base.var"##sizehint!#81", Bool, Bool, typeof(sizehint!), Vector{ComplexF64}, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Base.var"##sizehint!#81", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(sizehint!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul!), SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul!), SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(Base._mapreduce), typeof(identity), Function, IndexCartesian, SparseMatrixCSC{ComplexF64, Int64}}, Mooncake.DerivedFRule{Tuple{typeof(Base._mapreduce), typeof(identity), Function, IndexCartesian, SparseMatrixCSC{ComplexF64, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._mapreduce), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{IndexCartesian, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}, Mooncake.Dual}}, false, 5}}})(_2::Mooncake.Dual{var"#8#9", Mooncake.NoTangent}, _3::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _4::Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}})
      @ Base.Experimental ./<missing>:0
   [43] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#8#9", Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#8#9", Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [44] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [45] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [46] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#8#9", Matrix{ComplexF64}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#8#9", Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Matrix{ComplexF64}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Nothing, Tuple{var"#8#9", Matrix{ComplexF64}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Matrix{ComplexF64}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#8#9", Tuple{}}, Mooncake.PreparedCacheInputSpec{Matrix{ComplexF64}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tuple{Int64, Int64}}}}, ::Tuple{var"#8#9", Mooncake.NoTangent}, ::Tuple{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Tuple{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [47] testadjoint(::Function, ::Matrix{ComplexF64}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [48] testadjoint(::Function, ::Matrix{ComplexF64}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [49] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [50] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [51] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [52] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [53] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:99 [inlined]
   [54] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [55] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:100 [inlined]
   [56] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
rmul: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:100
  Test threw exception
  Expression: testadjoint(((L, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:100 =#
            real(sum(L * R))
        end), L, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] #_growend!##0
      @ ./array.jl:1152 [inlined]
    [7] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{Type{ConcurrencyViolationError}, String}, Mooncake.DerivedFRule{Tuple{Type{ConcurrencyViolationError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ConcurrencyViolationError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ConcurrencyViolationError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{ConcurrencyViolationError}, String}, Mooncake.DerivedFRule{Tuple{Type{ConcurrencyViolationError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ConcurrencyViolationError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ConcurrencyViolationError, Tangent{@NamedTuple{msg}}}}}, false, 2}}})(_2::Mooncake.Dual{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}, Tangent{@NamedTuple{a::Vector{Mooncake.NoTangent}, newmemlen::Mooncake.NoTangent, offset::Mooncake.NoTangent, newlen::Mooncake.NoTangent, len::Mooncake.NoTangent, memlen::Mooncake.NoTangent, mem::Memory{Mooncake.NoTangent}, ref::MemoryRef{Mooncake.NoTangent}}}})
      @ Base.Experimental ./<missing>:0
    [8] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}, Tangent{@NamedTuple{a::Vector{Mooncake.NoTangent}, newmemlen::Mooncake.NoTangent, offset::Mooncake.NoTangent, newlen::Mooncake.NoTangent, len::Mooncake.NoTangent, memlen::Mooncake.NoTangent, mem::Memory{Mooncake.NoTangent}, ref::MemoryRef{Mooncake.NoTangent}}}}}, Mooncake.Dual{MemoryRef{Int64}, MemoryRef{Mooncake.NoTangent}}}})(x::Mooncake.Dual{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}, Tangent{@NamedTuple{a::Vector{Mooncake.NoTangent}, newmemlen::Mooncake.NoTangent, offset::Mooncake.NoTangent, newlen::Mooncake.NoTangent, len::Mooncake.NoTangent, memlen::Mooncake.NoTangent, mem::Memory{Mooncake.NoTangent}, ref::MemoryRef{Mooncake.NoTangent}}}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
    [9] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [10] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [11] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [12] _growat!
      @ ./array.jl:1169 [inlined]
   [13] (::Tuple{Mooncake.LazyFRule{Tuple{Base.var"#_growbeg!##0#_growbeg!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}}, Mooncake.DerivedFRule{Tuple{Base.var"#_growbeg!##0#_growbeg!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Base.var"#_growbeg!##0#_growbeg!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}, Tangent{@NamedTuple{a::Vector{Mooncake.NoTangent}, delta::Mooncake.NoTangent, newlen::Mooncake.NoTangent, offset::Mooncake.NoTangent, len::Mooncake.NoTangent, mem::Memory{Mooncake.NoTangent}, ref::MemoryRef{Mooncake.NoTangent}}}}}, Mooncake.Dual{MemoryRef{Int64}, MemoryRef{Mooncake.NoTangent}}}}, false, 1}}, Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}}, Mooncake.DerivedFRule{Tuple{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Base.var"#_growend!##0#_growend!##1"{Vector{Int64}, Int64, Int64, Int64, Int64, Int64, Memory{Int64}, MemoryRef{Int64}}, Tangent{@NamedTuple{a::Vector{Mooncake.NoTangent}, newmemlen::Mooncake.NoTangent, offset::Mooncake.NoTangent, newlen::Mooncake.NoTangent, len::Mooncake.NoTangent, memlen::Mooncake.NoTangent, mem::Memory{Mooncake.NoTangent}, ref::MemoryRef{Mooncake.NoTangent}}}}}, Mooncake.Dual{MemoryRef{Int64}, MemoryRef{Mooncake.NoTangent}}}}, false, 1}}, Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{Type{BoundsError}, Any, Int64}, Mooncake.DerivedFRule{Tuple{Type{BoundsError}, Any, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{BoundsError}, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{BoundsError, Tangent{@NamedTuple{a::Mooncake.PossiblyUninitTangent{Any}, i::Mooncake.PossiblyUninitTangent{Any}}}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}})(_2::Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, _3::Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, _4::Mooncake.Dual{Int64, Mooncake.NoTangent}, _5::Mooncake.Dual{Int64, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [14] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}})(::Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, ::Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, ::Mooncake.Dual{Int64, Mooncake.NoTangent}, ::Mooncake.Dual{Int64, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [15] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [16] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [17] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [18] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/generic.jl:100 [inlined]
   [19] __generic_matvecmul!
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:951 [inlined]
   [20] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{Int64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base._growat!), Vector{ComplexF64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._growat!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{Mooncake.Dual{Nothing, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}}}, false, 4}}})(_2::Mooncake.Dual{typeof(LinearAlgebra.__generic_matvecmul!), Mooncake.NoTangent}, _3::Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, _4::Mooncake.Dual{SparseVector{ComplexF64, Int64}, Tangent{@NamedTuple{n::Mooncake.NoTangent, nzind::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _5::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _6::Mooncake.Dual{SubArray{ComplexF64, 1, Matrix{ComplexF64}, Tuple{Base.Slice{Base.OneTo{Int64}}, Int64}, true}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}, indices::Mooncake.NoTangent, offset1::Mooncake.NoTangent, stride1::Mooncake.NoTangent}}}, _7::Mooncake.Dual{Bool, Mooncake.NoTangent}, _8::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [21] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.__generic_matvecmul!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{SparseVector{ComplexF64, Int64}, Tangent{@NamedTuple{n::Mooncake.NoTangent, nzind::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{SubArray{ComplexF64, 1, Matrix{ComplexF64}, Tuple{Base.Slice{Base.OneTo{Int64}}, Int64}, true}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}, indices::Mooncake.NoTangent, offset1::Mooncake.NoTangent, stride1::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}})(::Mooncake.Dual{typeof(LinearAlgebra.__generic_matvecmul!), Mooncake.NoTangent}, ::Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, ::Mooncake.Dual{SparseVector{ComplexF64, Int64}, Tangent{@NamedTuple{n::Mooncake.NoTangent, nzind::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{SubArray{ComplexF64, 1, Matrix{ComplexF64}, Tuple{Base.Slice{Base.OneTo{Int64}}, Int64}, true}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}, indices::Mooncake.NoTangent, offset1::Mooncake.NoTangent, stride1::Mooncake.NoTangent}}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [22] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [23] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [24] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.__generic_matvecmul!), typeof(transpose), SparseVector{ComplexF64, Int64}, SparseMatrixCSC{ComplexF64, Int64}, SubArray{ComplexF64, 1, Matrix{ComplexF64}, Tuple{Base.Slice{Base.OneTo{Int64}}, Int64}, true}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.__generic_matvecmul!), typeof(transpose), SparseVector{ComplexF64, Int64}, SparseMatrixCSC{ComplexF64, Int64}, SubArray{ComplexF64, 1, Matrix{ComplexF64}, Tuple{Base.Slice{Base.OneTo{Int64}}, Int64}, true}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.__generic_matvecmul!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{SparseVector{ComplexF64, Int64}, Tangent{@NamedTuple{n::Mooncake.NoTangent, nzind::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{SubArray{ComplexF64, 1, Matrix{ComplexF64}, Tuple{Base.Slice{Base.OneTo{Int64}}, Int64}, true}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}, indices::Mooncake.NoTangent, offset1::Mooncake.NoTangent, stride1::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, args::Tuple{Mooncake.Dual{typeof(LinearAlgebra.__generic_matvecmul!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{SparseVector{ComplexF64, Int64}, Tangent{@NamedTuple{n::Mooncake.NoTangent, nzind::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{SubArray{ComplexF64, 1, Matrix{ComplexF64}, Tuple{Base.Slice{Base.OneTo{Int64}}, Int64}, true}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}, indices::Mooncake.NoTangent, offset1::Mooncake.NoTangent, stride1::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [25] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [26] _generic_matmatmul_adjtrans!
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:1051 [inlined]
   [27] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.matmul_size_check_error), Tuple{Int64, Int64}, Tuple{Int64}}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.matmul_size_check_error), Tuple{Int64, Int64}, Tuple{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.matmul_size_check_error), Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64, Int64}, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}, Union{}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.matmul_size_check_error), Tuple{Int64}, Tuple{Int64, Int64}, Tuple{Int64}}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.matmul_size_check_error), Tuple{Int64}, Tuple{Int64, Int64}, Tuple{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.matmul_size_check_error), Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64, Int64}, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64}, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.__generic_matvecmul!), typeof(transpose), SparseVector{ComplexF64, Int64}, SparseMatrixCSC{ComplexF64, Int64}, SubArray{ComplexF64, 1, Matrix{ComplexF64}, Tuple{Base.Slice{Base.OneTo{Int64}}, Int64}, true}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.__generic_matvecmul!), typeof(transpose), SparseVector{ComplexF64, Int64}, SparseMatrixCSC{ComplexF64, Int64}, SubArray{ComplexF64, 1, Matrix{ComplexF64}, Tuple{Base.Slice{Base.OneTo{Int64}}, Int64}, true}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.__generic_matvecmul!), Mooncake.NoTangent}, Mooncake.Dual{typeof(transpose), Mooncake.NoTangent}, Mooncake.Dual{SparseVector{ComplexF64, Int64}, Tangent{@NamedTuple{n::Mooncake.NoTangent, nzind::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{SubArray{ComplexF64, 1, Matrix{ComplexF64}, Tuple{Base.Slice{Base.OneTo{Int64}}, Int64}, true}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}, indices::Mooncake.NoTangent, offset1::Mooncake.NoTangent, stride1::Mooncake.NoTangent}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{Nothing, Mooncake.NoTangent}}}, false, 7}}, Mooncake.LazyFRule{Tuple{Type{DimensionMismatch}, String}, Mooncake.DerivedFRule{Tuple{Type{DimensionMismatch}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{DimensionMismatch}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{DimensionMismatch, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{DimensionMismatch}, String}, Mooncake.DerivedFRule{Tuple{Type{DimensionMismatch}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{DimensionMismatch}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{DimensionMismatch, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.unaliascopy), SparseMatrixCSC{ComplexF64, Int64}}, Mooncake.DerivedFRule{Tuple{typeof(Base.unaliascopy), SparseMatrixCSC{ComplexF64, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.unaliascopy), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.unaliascopy), Base.Slice{Base.OneTo{Int64}}}, Mooncake.DerivedFRule{Tuple{typeof(Base.unaliascopy), Base.Slice{Base.OneTo{Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.unaliascopy), Mooncake.NoTangent}, Mooncake.Dual{Base.Slice{Base.OneTo{Int64}}, Mooncake.NoTangent}}, Mooncake.Dual{Base.Slice{Base.OneTo{Int64}}, Mooncake.NoTangent}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.unaliascopy), SparseVector{ComplexF64, Int64}}, Mooncake.DerivedFRule{Tuple{typeof(Base.unaliascopy), SparseVector{ComplexF64, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.unaliascopy), Mooncake.NoTangent}, Mooncake.Dual{SparseVector{ComplexF64, Int64}, Tangent{@NamedTuple{n::Mooncake.NoTangent, nzind::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}, Mooncake.Dual{SparseVector{ComplexF64, Int64}, Tangent{@NamedTuple{n::Mooncake.NoTangent, nzind::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(SparseArrays._setindex_scalar!), SparseMatrixCSC{ComplexF64, Int64}, ComplexF64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(SparseArrays._setindex_scalar!), SparseMatrixCSC{ComplexF64, Int64}, ComplexF64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(SparseArrays._setindex_scalar!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{ComplexF64, ComplexF64}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 5}}, Mooncake.LazyFRule{Tuple{typeof(Base.Broadcast.throwdm), Tuple{Base.OneTo{Int64}}, Tuple{Base.OneTo{Int64}}}, Mooncake.DerivedFRule{Tuple{typeof(Base.Broadcast.throwdm), Tuple{Base.OneTo{Int64}}, Tuple{Base.OneTo{Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.Broadcast.throwdm), Mooncake.NoTangent}, Mooncake.Dual{Tuple{Base.OneTo{Int64}}, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Base.OneTo{Int64}}, Mooncake.NoTangent}}, Union{}}}, false, 3}}})(_2::Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul_adjtrans!), Mooncake.NoTangent}, _3::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _4::Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, _5::Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, _6::Mooncake.Dual{Bool, Mooncake.NoTangent}, _7::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [28] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul_adjtrans!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}})(::Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul_adjtrans!), Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, ::Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [29] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [30] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [31] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul_adjtrans!), SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul_adjtrans!), SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul_adjtrans!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 6}}, args::Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul_adjtrans!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [32] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [33] _generic_matmatmul!
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:1019 [inlined]
   [34] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.matmul_size_check_error), Tuple{Int64, Int64}, Tuple{Int64, Int64}}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.matmul_size_check_error), Tuple{Int64, Int64}, Tuple{Int64, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.matmul_size_check_error), Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64, Int64}, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64, Int64}, Mooncake.NoTangent}}, Union{}}}, false, 3}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.matmul_size_check_error), Tuple{Int64, Int64}, Tuple{Int64, Int64}, Tuple{Int64, Int64}}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.matmul_size_check_error), Tuple{Int64, Int64}, Tuple{Int64, Int64}, Tuple{Int64, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.matmul_size_check_error), Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64, Int64}, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64, Int64}, Mooncake.NoTangent}, Mooncake.Dual{Tuple{Int64, Int64}, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul_adjtrans!), SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul_adjtrans!), SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul_adjtrans!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 6}}})(_2::Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul!), Mooncake.NoTangent}, _3::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _4::Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, _5::Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, _6::Mooncake.Dual{Bool, Mooncake.NoTangent}, _7::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [35] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}})(::Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul!), Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, ::Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, ::Mooncake.Dual{Bool, Mooncake.NoTangent}, ::Mooncake.Dual{Bool, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [36] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [37] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [38] _build_rule!(rule::Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul!), SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul!), SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 6}}, args::Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [39] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [40] #8
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:100 [inlined]
   [41] (::Tuple{Mooncake.LazyFRule{Tuple{typeof(spzeros), Type{ComplexF64}, Type{Int64}, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(spzeros), Type{ComplexF64}, Type{Int64}, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(spzeros), Mooncake.NoTangent}, Mooncake.Dual{Type{ComplexF64}, Mooncake.NoTangent}, Mooncake.Dual{Type{Int64}, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 5}}, Mooncake.LazyFRule{Tuple{Base.var"##sizehint!#81", Bool, Bool, typeof(sizehint!), Vector{Int64}, Int64}, Mooncake.DerivedFRule{Tuple{Base.var"##sizehint!#81", Bool, Bool, typeof(sizehint!), Vector{Int64}, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Base.var"##sizehint!#81", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(sizehint!), Mooncake.NoTangent}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}}, false, 6}}, Mooncake.LazyFRule{Tuple{Base.var"##sizehint!#81", Bool, Bool, typeof(sizehint!), Vector{ComplexF64}, Int64}, Mooncake.DerivedFRule{Tuple{Base.var"##sizehint!#81", Bool, Bool, typeof(sizehint!), Vector{ComplexF64}, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Base.var"##sizehint!#81", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(sizehint!), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul!), SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra._generic_matmatmul!), SparseMatrixCSC{ComplexF64, Int64}, Adjoint{ComplexF64, Matrix{ComplexF64}}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Bool, Bool}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra._generic_matmatmul!), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}, false, 6}}, Mooncake.LazyFRule{Tuple{typeof(Base._mapreduce), typeof(identity), Function, IndexCartesian, SparseMatrixCSC{ComplexF64, Int64}}, Mooncake.DerivedFRule{Tuple{typeof(Base._mapreduce), typeof(identity), Function, IndexCartesian, SparseMatrixCSC{ComplexF64, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._mapreduce), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{IndexCartesian, Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}, Mooncake.Dual}}, false, 5}}})(_2::Mooncake.Dual{var"#8#9", Mooncake.NoTangent}, _3::Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, _4::Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}})
      @ Base.Experimental ./<missing>:0
   [42] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#8#9", Mooncake.NoTangent}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#8#9", Mooncake.NoTangent}, ::Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, ::Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [43] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [44] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [45] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#8#9", Adjoint{ComplexF64, Matrix{ComplexF64}}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#8#9", Mooncake.NoTangent}, Mooncake.Dual{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}}, Mooncake.Dual{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}, Nothing, Tuple{var"#8#9", Adjoint{ComplexF64, Matrix{ComplexF64}}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{parent::Matrix{ComplexF64}}}, Tangent{@NamedTuple{parent::Tangent{@NamedTuple{parent::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}}}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#8#9", Tuple{}}, Mooncake.PreparedCacheInputSpec{Adjoint{ComplexF64, Matrix{ComplexF64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Tuple{Int64, Int64}}}}, ::Tuple{var"#8#9", Mooncake.NoTangent}, ::Tuple{Adjoint{ComplexF64, Matrix{ComplexF64}}, Adjoint{ComplexF64, Matrix{ComplexF64}}}, ::Tuple{Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Adjoint{ComplexF64, Transpose{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [46] testadjoint(::Function, ::Adjoint{ComplexF64, Matrix{ComplexF64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [47] testadjoint(::Function, ::Adjoint{ComplexF64, Matrix{ComplexF64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [48] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [49] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [50] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [51] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [52] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:99 [inlined]
   [53] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [54] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:100 [inlined]
   [55] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
ldivwith: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112
  Test threw exception
  Expression: testadjoint(((A, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 =#
            real(sum(ldivwith(A, lu(Matrix(A)), R)))
        end), A, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] _copyto_impl!
      @ ./array.jl:308 [inlined]
    [7] copyto!
      @ ./array.jl:299 [inlined]
    [8] copyto!
      @ ./array.jl:322 [inlined]
    [9] copy_similar
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/LinearAlgebra.jl:499 [inlined]
   [10] _lucopy
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:349 [inlined]
   [11] #lu#186
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:341 [inlined]
   [12] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#3", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{ComplexF64}, Vector{Int64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#3", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{ComplexF64}, Vector{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.LAPACK.var"##getrf!#3", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrf!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}, Mooncake.Dual{Tuple{Matrix{ComplexF64}, Vector{Int64}, Int64}, Tuple{Matrix{ComplexF64}, Vector{Mooncake.NoTangent}, Mooncake.NoTangent}}}}, false, 5}}})(_2::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, _3::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, _4::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, _5::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _6::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [13] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}})(::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, ::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, ::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [14] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [15] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [16] _build_rule!(rule::Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, args::Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [17] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [18] #12
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [19] (::Tuple{Mooncake.LazyFRule{Tuple{Type{AssertionError}, String}, Mooncake.DerivedFRule{Tuple{Type{AssertionError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{AssertionError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{AssertionError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(copyto!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}}, Mooncake.DerivedFRule{Tuple{typeof(copyto!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(copyto!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, Mooncake.LazyFRule{Tuple{typeof(ldivwith), SparseMatrixCSC{ComplexF64, Int64}, LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{typeof(ldivwith), SparseMatrixCSC{ComplexF64, Int64}, LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(ldivwith), Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._mapreduce), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{IndexLinear, Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{ComplexF64, ComplexF64}}}, false, 5}}})(_2::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, _3::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _4::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ Base.Experimental ./<missing>:0
   [20] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [21] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [22] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [23] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#12#13", SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, Matrix{ComplexF64}}, Nothing, Tuple{var"#12#13", SparseMatrixCSC{ComplexF64, Int64}, Matrix{ComplexF64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, Matrix{ComplexF64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#12#13", Tuple{}}, Mooncake.PreparedCacheInputSpec{SparseMatrixCSC{ComplexF64, Int64}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Matrix{ComplexF64}, Tuple{Int64, Int64}}}}, ::Tuple{var"#12#13", Mooncake.NoTangent}, ::Tuple{SparseMatrixCSC{ComplexF64, Int64}, SparseMatrixCSC{ComplexF64, Int64}}, ::Tuple{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [24] testadjoint(::Function, ::SparseMatrixCSC{ComplexF64, Int64}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [25] testadjoint(::Function, ::SparseMatrixCSC{ComplexF64, Int64}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [26] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:111 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [33] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [34] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
ldivwith: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112
  Test threw exception
  Expression: testadjoint(((A, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 =#
            real(sum(ldivwith(A, lu(Matrix(A)), R)))
        end), A, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] _copyto_impl!
      @ ./array.jl:308 [inlined]
    [7] copyto!
      @ ./array.jl:299 [inlined]
    [8] copyto!
      @ ./array.jl:322 [inlined]
    [9] copy_similar
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/LinearAlgebra.jl:499 [inlined]
   [10] _lucopy
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:349 [inlined]
   [11] #lu#186
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:341 [inlined]
   [12] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#3", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{ComplexF64}, Vector{Int64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#3", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{ComplexF64}, Vector{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.LAPACK.var"##getrf!#3", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrf!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}, Mooncake.Dual{Tuple{Matrix{ComplexF64}, Vector{Int64}, Int64}, Tuple{Matrix{ComplexF64}, Vector{Mooncake.NoTangent}, Mooncake.NoTangent}}}}, false, 5}}})(_2::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, _3::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, _4::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, _5::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _6::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [13] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}})(::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, ::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, ::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [14] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [15] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [16] _build_rule!(rule::Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, args::Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [17] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [18] #12
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [19] (::Tuple{Mooncake.LazyFRule{Tuple{Type{AssertionError}, String}, Mooncake.DerivedFRule{Tuple{Type{AssertionError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{AssertionError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{AssertionError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(copyto!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}}, Mooncake.DerivedFRule{Tuple{typeof(copyto!), Matrix{ComplexF64}, SparseMatrixCSC{ComplexF64, Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(copyto!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.LAPACK.getrs!), Char, Matrix{ComplexF64}, Vector{Int64}, Vector{ComplexF64}}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.LAPACK.getrs!), Char, Matrix{ComplexF64}, Vector{Int64}, Vector{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrs!), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}}, false, 5}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{ComplexF64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{ComplexF64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{ComplexF64, ComplexF64}}}, false, 7}}})(_2::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, _3::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, _4::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}})
      @ Base.Experimental ./<missing>:0
   [20] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, ::Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, ::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [21] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [22] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [23] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#12#13", SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{SparseMatrixCSC{ComplexF64, Int64}, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, Vector{ComplexF64}}, Nothing, Tuple{var"#12#13", SparseMatrixCSC{ComplexF64, Int64}, Vector{ComplexF64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, Vector{ComplexF64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#12#13", Tuple{}}, Mooncake.PreparedCacheInputSpec{SparseMatrixCSC{ComplexF64, Int64}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Vector{ComplexF64}, Tuple{Int64}}}}, ::Tuple{var"#12#13", Mooncake.NoTangent}, ::Tuple{SparseMatrixCSC{ComplexF64, Int64}, SparseMatrixCSC{ComplexF64, Int64}}, ::Tuple{Vector{ComplexF64}, Vector{ComplexF64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [24] testadjoint(::Function, ::SparseMatrixCSC{ComplexF64, Int64}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [25] testadjoint(::Function, ::SparseMatrixCSC{ComplexF64, Int64}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [26] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:111 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [33] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [34] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
ldivwith: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112
  Test threw exception
  Expression: testadjoint(((A, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 =#
            real(sum(ldivwith(A, lu(Matrix(A)), R)))
        end), A, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] _copyto_impl!
      @ ./array.jl:308 [inlined]
    [7] copyto!
      @ ./array.jl:299 [inlined]
    [8] copyto!
      @ ./array.jl:322 [inlined]
    [9] copy_similar
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/LinearAlgebra.jl:499 [inlined]
   [10] _lucopy
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:349 [inlined]
   [11] #lu#186
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:341 [inlined]
   [12] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#3", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{ComplexF64}, Vector{Int64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#3", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{ComplexF64}, Vector{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.LAPACK.var"##getrf!#3", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrf!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}, Mooncake.Dual{Tuple{Matrix{ComplexF64}, Vector{Int64}, Int64}, Tuple{Matrix{ComplexF64}, Vector{Mooncake.NoTangent}, Mooncake.NoTangent}}}}, false, 5}}})(_2::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, _3::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, _4::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, _5::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _6::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [13] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}})(::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, ::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, ::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [14] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [15] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [16] _build_rule!(rule::Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, args::Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [17] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [18] #12
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [19] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{ComplexF64}, Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Mooncake.DerivedFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{ComplexF64}, Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.copyto_axcheck!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, Mooncake.LazyFRule{Tuple{typeof(ldivwith), Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{typeof(ldivwith), Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(ldivwith), Mooncake.NoTangent}, Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._mapreduce), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{IndexLinear, Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{ComplexF64, ComplexF64}}}, false, 5}}})(_2::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, _3::Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ Base.Experimental ./<missing>:0
   [20] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, ::Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [21] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [22] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [23] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#12#13", Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Matrix{ComplexF64}}, Nothing, Tuple{var"#12#13", Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Matrix{ComplexF64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Matrix{ComplexF64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#12#13", Tuple{}}, Mooncake.PreparedCacheInputSpec{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Matrix{ComplexF64}, Tuple{Int64, Int64}}}}, ::Tuple{var"#12#13", Mooncake.NoTangent}, ::Tuple{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, ::Tuple{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [24] testadjoint(::Function, ::Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [25] testadjoint(::Function, ::Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [26] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:111 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [33] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [34] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
ldivwith: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112
  Test threw exception
  Expression: testadjoint(((A, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 =#
            real(sum(ldivwith(A, lu(Matrix(A)), R)))
        end), A, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] _copyto_impl!
      @ ./array.jl:308 [inlined]
    [7] copyto!
      @ ./array.jl:299 [inlined]
    [8] copyto!
      @ ./array.jl:322 [inlined]
    [9] copy_similar
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/LinearAlgebra.jl:499 [inlined]
   [10] _lucopy
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:349 [inlined]
   [11] #lu#186
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:341 [inlined]
   [12] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#3", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{ComplexF64}, Vector{Int64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#3", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{ComplexF64}, Vector{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.LAPACK.var"##getrf!#3", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrf!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}, Mooncake.Dual{Tuple{Matrix{ComplexF64}, Vector{Int64}, Int64}, Tuple{Matrix{ComplexF64}, Vector{Mooncake.NoTangent}, Mooncake.NoTangent}}}}, false, 5}}})(_2::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, _3::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, _4::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, _5::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _6::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [13] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}})(::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, ::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, ::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [14] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [15] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [16] _build_rule!(rule::Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, args::Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [17] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [18] #12
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [19] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{ComplexF64}, Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Mooncake.DerivedFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{ComplexF64}, Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.copyto_axcheck!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.LAPACK.getrs!), Char, Matrix{ComplexF64}, Vector{Int64}, Vector{ComplexF64}}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.LAPACK.getrs!), Char, Matrix{ComplexF64}, Vector{Int64}, Vector{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrs!), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}}, false, 5}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{ComplexF64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{ComplexF64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{ComplexF64, ComplexF64}}}, false, 7}}})(_2::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, _3::Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}})
      @ Base.Experimental ./<missing>:0
   [20] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, ::Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [21] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [22] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [23] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#12#13", Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Vector{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Vector{ComplexF64}}, Nothing, Tuple{var"#12#13", Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Vector{ComplexF64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Vector{ComplexF64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#12#13", Tuple{}}, Mooncake.PreparedCacheInputSpec{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Vector{ComplexF64}, Tuple{Int64}}}}, ::Tuple{var"#12#13", Mooncake.NoTangent}, ::Tuple{Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, ::Tuple{Vector{ComplexF64}, Vector{ComplexF64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [24] testadjoint(::Function, ::Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [25] testadjoint(::Function, ::Hermitian{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [26] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:111 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [33] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [34] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
ldivwith: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112
  Test threw exception
  Expression: testadjoint(((A, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 =#
            real(sum(ldivwith(A, lu(Matrix(A)), R)))
        end), A, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] _copyto_impl!
      @ ./array.jl:308 [inlined]
    [7] copyto!
      @ ./array.jl:299 [inlined]
    [8] copyto!
      @ ./array.jl:322 [inlined]
    [9] copy_similar
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/LinearAlgebra.jl:499 [inlined]
   [10] _lucopy
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:349 [inlined]
   [11] #lu#186
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:341 [inlined]
   [12] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#3", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{ComplexF64}, Vector{Int64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#3", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{ComplexF64}, Vector{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.LAPACK.var"##getrf!#3", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrf!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}, Mooncake.Dual{Tuple{Matrix{ComplexF64}, Vector{Int64}, Int64}, Tuple{Matrix{ComplexF64}, Vector{Mooncake.NoTangent}, Mooncake.NoTangent}}}}, false, 5}}})(_2::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, _3::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, _4::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, _5::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _6::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [13] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}})(::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, ::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, ::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [14] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [15] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [16] _build_rule!(rule::Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, args::Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [17] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [18] #12
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [19] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{ComplexF64}, Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Mooncake.DerivedFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{ComplexF64}, Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.copyto_axcheck!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, Mooncake.LazyFRule{Tuple{typeof(ldivwith), Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{typeof(ldivwith), Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(ldivwith), Mooncake.NoTangent}, Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{typeof(Base._mapreduce), typeof(identity), typeof(Base.add_sum), IndexLinear, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._mapreduce), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{IndexLinear, Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{ComplexF64, ComplexF64}}}, false, 5}}})(_2::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, _3::Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ Base.Experimental ./<missing>:0
   [20] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, ::Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [21] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [22] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [23] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#12#13", Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Matrix{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Matrix{ComplexF64}}, Nothing, Tuple{var"#12#13", Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Matrix{ComplexF64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Matrix{ComplexF64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#12#13", Tuple{}}, Mooncake.PreparedCacheInputSpec{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Matrix{ComplexF64}, Tuple{Int64, Int64}}}}, ::Tuple{var"#12#13", Mooncake.NoTangent}, ::Tuple{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, ::Tuple{Matrix{ComplexF64}, Matrix{ComplexF64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [24] testadjoint(::Function, ::Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [25] testadjoint(::Function, ::Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [26] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:111 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [33] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [34] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
ldivwith: Error During Test at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112
  Test threw exception
  Expression: testadjoint(((A, R)->begin
            #= /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 =#
            real(sum(ldivwith(A, lu(Matrix(A)), R)))
        end), A, R)
  AD has hit a :(memmove) ccall. This should not happen. Please open an issue with a minimal working example in order to reproduce. This is true unless you have intentionally written a ccall to :memmove, in which case you must write a :foreigncall rule. It may not be possible to implement a :foreigncall rule if too much type information has been lost in which case your only recourse is to write a rule for whichever Julia function calls this one (and retains enough type information).
  Stacktrace:
    [1] error(::String, ::String, ::String, ::String, ::String, ::String)
      @ Base ./error.jl:54
    [2] unexpected_foreigncall_error(name::Symbol)
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:365
    [3] frule!!(::Mooncake.Dual{typeof(Mooncake._foreigncall_), Mooncake.NoTangent}, ::Mooncake.Dual{Val{:memmove}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{Ptr{Nothing}}, Mooncake.NoTangent}, ::Mooncake.Dual{Tuple{Val{Ptr{Nothing}}, Val{Ptr{Nothing}}, Val{UInt64}}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{0}, Mooncake.NoTangent}, ::Mooncake.Dual{Val{:ccall}, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{UInt64, Mooncake.NoTangent}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}}, ::Mooncake.Dual{Ptr{Nothing}, Ptr{Mooncake.NoTangent}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/rules/foreigncall.jl:409
    [4] memmove
      @ ./cmem.jl:28 [inlined]
    [5] unsafe_copyto!
      @ ./genericmemory.jl:125 [inlined]
    [6] _copyto_impl!
      @ ./array.jl:308 [inlined]
    [7] copyto!
      @ ./array.jl:299 [inlined]
    [8] copyto!
      @ ./array.jl:322 [inlined]
    [9] copy_similar
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/LinearAlgebra.jl:499 [inlined]
   [10] _lucopy
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:349 [inlined]
   [11] #lu#186
      @ /opt/julia/share/julia/stdlib/v1.12/LinearAlgebra/src/lu.jl:341 [inlined]
   [12] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#3", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{ComplexF64}, Vector{Int64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.LAPACK.var"##getrf!#3", Bool, typeof(LinearAlgebra.LAPACK.getrf!), Matrix{ComplexF64}, Vector{Int64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.LAPACK.var"##getrf!#3", Mooncake.NoTangent}, Mooncake.Dual{Bool, Mooncake.NoTangent}, Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrf!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}}, Mooncake.Dual{Tuple{Matrix{ComplexF64}, Vector{Int64}, Int64}, Tuple{Matrix{ComplexF64}, Vector{Mooncake.NoTangent}, Mooncake.NoTangent}}}}, false, 5}}})(_2::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, _3::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, _4::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, _5::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, _6::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ Base.Experimental ./<missing>:0
   [13] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}})(::Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, ::Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, ::Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, ::Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, ::Mooncake.Dual{Tuple{}, Mooncake.NoTangent})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [14] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [15] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [16] _build_rule!(rule::Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, args::Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:563
   [17] LazyFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:551 [inlined]
   [18] #12
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [19] (::Tuple{Mooncake.LazyFRule{Tuple{Type{ArgumentError}, String}, Mooncake.DerivedFRule{Tuple{Type{ArgumentError}, String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{Type{ArgumentError}, Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Mooncake.Dual{ArgumentError, Tangent{@NamedTuple{msg}}}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{ComplexF64}, Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, Mooncake.DerivedFRule{Tuple{typeof(Base.copyto_axcheck!), Matrix{ComplexF64}, Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.copyto_axcheck!), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}}}, false, 3}}, Mooncake.LazyFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}}, Mooncake.DerivedFRule{Tuple{LinearAlgebra.var"##lu#186", @Kwargs{}, typeof(lu), Matrix{ComplexF64}, Tuple{}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{LinearAlgebra.var"##lu#186", Mooncake.NoTangent}, Mooncake.Dual{@Kwargs{}, Mooncake.NoTangent}, Mooncake.Dual{typeof(lu), Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Tuple{}, Mooncake.NoTangent}}, Mooncake.Dual{LU{ComplexF64, Matrix{ComplexF64}, Vector{Int64}}, Tangent{@NamedTuple{factors::Matrix{ComplexF64}, ipiv::Vector{Mooncake.NoTangent}, info::Mooncake.NoTangent}}}}}, true, 5}}, Mooncake.LazyFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Core.throw_inexacterror), Symbol, Type, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Core.throw_inexacterror), Mooncake.NoTangent}, Mooncake.Dual{Symbol, Mooncake.NoTangent}, Mooncake.Dual, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Union{}}}, false, 4}}, Mooncake.LazyFRule{Tuple{typeof(Base._throw_argerror), String}, Mooncake.DerivedFRule{Tuple{typeof(Base._throw_argerror), String}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base._throw_argerror), Mooncake.NoTangent}, Mooncake.Dual{String, Mooncake.NoTangent}}, Union{}}}, false, 2}}, Mooncake.LazyFRule{Tuple{typeof(LinearAlgebra.LAPACK.getrs!), Char, Matrix{ComplexF64}, Vector{Int64}, Vector{ComplexF64}}, Mooncake.DerivedFRule{Tuple{typeof(LinearAlgebra.LAPACK.getrs!), Char, Matrix{ComplexF64}, Vector{Int64}, Vector{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(LinearAlgebra.LAPACK.getrs!), Mooncake.NoTangent}, Mooncake.Dual{Char, Mooncake.NoTangent}, Mooncake.Dual{Matrix{ComplexF64}, Matrix{ComplexF64}}, Mooncake.Dual{Vector{Int64}, Vector{Mooncake.NoTangent}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}}, false, 5}}, Mooncake.LazyFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{ComplexF64}, Int64, Int64, Int64}, Mooncake.DerivedFRule{Tuple{typeof(Base.mapreduce_impl), typeof(identity), typeof(Base.add_sum), Vector{ComplexF64}, Int64, Int64, Int64}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{typeof(Base.mapreduce_impl), Mooncake.NoTangent}, Mooncake.Dual{typeof(identity), Mooncake.NoTangent}, Mooncake.Dual{typeof(Base.add_sum), Mooncake.NoTangent}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}, Mooncake.Dual{Int64, Mooncake.NoTangent}}, Mooncake.Dual{ComplexF64, ComplexF64}}}, false, 7}}})(_2::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, _3::Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, _4::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}})
      @ Base.Experimental ./<missing>:0
   [20] (::MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}})(::Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, ::Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, ::Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}})
      @ MistyClosures ~/.julia/packages/MistyClosures/2vtLL/src/MistyClosures.jl:22
   [21] DerivedFRule
      @ ~/.julia/packages/Mooncake/xJhq4/src/interpreter/forward_mode.jl:123 [inlined]
   [22] __call_rule
      @ ~/.julia/packages/Mooncake/xJhq4/src/utils.jl:639 [inlined]
   [23] value_and_derivative!!(::Mooncake.ForwardCache{Mooncake.DerivedFRule{Tuple{var"#12#13", Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Vector{ComplexF64}}, MistyClosures.MistyClosure{Core.OpaqueClosure{Tuple{Mooncake.Dual{var"#12#13", Mooncake.NoTangent}, Mooncake.Dual{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}}, Mooncake.Dual{Vector{ComplexF64}, Vector{ComplexF64}}}, Mooncake.Dual{Float64, Float64}}}, false, 3}, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Vector{ComplexF64}}, Nothing, Tuple{var"#12#13", Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Vector{ComplexF64}}, Base.RefValue{Union{Nothing, Tuple{Mooncake.NoTangent, Tangent{@NamedTuple{data::Tangent{@NamedTuple{m::Mooncake.NoTangent, n::Mooncake.NoTangent, colptr::Vector{Mooncake.NoTangent}, rowval::Vector{Mooncake.NoTangent}, nzval::Vector{ComplexF64}}}, uplo::Mooncake.NoTangent}}, Vector{ComplexF64}}}}, Nothing, Tuple{Mooncake.PreparedCacheInputSpec{var"#12#13", Tuple{}}, Mooncake.PreparedCacheInputSpec{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Tuple{Int64, Int64}}, Mooncake.PreparedCacheInputSpec{Vector{ComplexF64}, Tuple{Int64}}}}, ::Tuple{var"#12#13", Mooncake.NoTangent}, ::Tuple{Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}}, ::Tuple{Vector{ComplexF64}, Vector{ComplexF64}})
      @ Mooncake ~/.julia/packages/Mooncake/xJhq4/src/interface.jl:2106
   [24] testadjoint(::Function, ::Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any}; rtol::Float64)
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:66
   [25] testadjoint(::Function, ::Symmetric{ComplexF64, SparseMatrixCSC{ComplexF64, Int64}}, ::Vararg{Any})
      @ Main ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:59
   [26] top-level scope
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:80
   [27] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [28] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:82 [inlined]
   [29] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [30] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:111 [inlined]
   [31] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:1777 [inlined]
   [32] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
   [33] macro expansion
      @ /opt/julia/share/julia/stdlib/v1.12/Test/src/Test.jl:677 [inlined]
   [34] macro expansion
      @ ~/.julia/packages/MooncakeSparse/TFhJf/test/core.jl:112 [inlined]
Test Summary:         | Pass  Error  Total      Time
Core                  |   68     32    100  14m27.5s
  Adjoint Consistency |   68     32    100  14m27.1s
    Float64           |   32     18     50   8m51.2s
      lmul            |   12     12     24   6m58.4s
      rmul            |   12            12     48.8s
      dot (3-arg)     |    8             8     35.6s
      ldivwith        |           6      6     26.3s
    ComplexF64        |   36     14     50   5m35.8s
      lmul            |   18      6     24   3m43.8s
      rmul            |   10      2     12   1m07.6s
      dot (3-arg)     |    8             8     31.4s
      ldivwith        |           6      6     12.1s
RNG of the outermost testset: Random.Xoshiro(0x6a634184a19b6dc3, 0x9d584171f937a3d5, 0xe4df4afb2b20830f, 0x84173e32f62b9eba, 0x576b302720163fa3)
ERROR: LoadError: Some tests did not pass: 68 passed, 0 failed, 32 errored, 0 broken.
in expression starting at /home/pkgeval/.julia/packages/MooncakeSparse/TFhJf/test/runtests.jl:7

Testing failed after 1047.2s

ERROR: LoadError: Package MooncakeSparse errored during testing
Stacktrace:
  [1] pkgerror(msg::String)
    @ Pkg.Types /opt/julia/share/julia/stdlib/v1.12/Pkg/src/Types.jl:68
  [2] test(ctx::Pkg.Types.Context, pkgs::Vector{PackageSpec}; coverage::Bool, julia_args::Cmd, test_args::Cmd, test_fn::Nothing, force_latest_compatible_version::Bool, allow_earlier_backwards_compatible_versions::Bool, allow_reresolve::Bool)
    @ Pkg.Operations /opt/julia/share/julia/stdlib/v1.12/Pkg/src/Operations.jl:2538
  [3] test
    @ /opt/julia/share/julia/stdlib/v1.12/Pkg/src/Operations.jl:2387 [inlined]
  [4] test(ctx::Pkg.Types.Context, pkgs::Vector{PackageSpec}; coverage::Bool, test_fn::Nothing, julia_args::Cmd, test_args::Cmd, force_latest_compatible_version::Bool, allow_earlier_backwards_compatible_versions::Bool, allow_reresolve::Bool, kwargs::@Kwargs{io::IOContext{IO}})
    @ Pkg.API /opt/julia/share/julia/stdlib/v1.12/Pkg/src/API.jl:552
  [5] test(pkgs::Vector{PackageSpec}; io::IOContext{IO}, kwargs::@Kwargs{julia_args::Cmd})
    @ Pkg.API /opt/julia/share/julia/stdlib/v1.12/Pkg/src/API.jl:169
  [6] test(pkgs::Vector{String}; kwargs::@Kwargs{julia_args::Cmd})
    @ Pkg.API /opt/julia/share/julia/stdlib/v1.12/Pkg/src/API.jl:157
  [7] test
    @ /opt/julia/share/julia/stdlib/v1.12/Pkg/src/API.jl:157 [inlined]
  [8] #test#81
    @ /opt/julia/share/julia/stdlib/v1.12/Pkg/src/API.jl:156 [inlined]
  [9] top-level scope
    @ /PkgEval.jl/scripts/evaluate.jl:223
 [10] include(mod::Module, _path::String)
    @ Base ./Base.jl:306
 [11] exec_options(opts::Base.JLOptions)
    @ Base ./client.jl:317
 [12] _start()
    @ Base ./client.jl:550
in expression starting at /PkgEval.jl/scripts/evaluate.jl:214

PkgEval failed after 1489.92s: package tests unexpectedly errored