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DAE solve fail with symbolic registered functions in the ODEProblem. #2860

@viniviena

Description

@viniviena

Describe the bug 🐞

ODESolve fail to solve DAE with symbolic registered functions.

Expected behavior

Expectations were to solve it since the problem is well posed.

Minimal Reproducible Example 👇

using ModelingToolkit
using Symbolics
using ModelingToolkit: t_nounits as t, D_nounits as D, scalarize
using DifferentialEquations

myfun(T, x::Vector) =  100.0*T*x[1] + 50.0*T*x[2]

@register_symbolic myfun(T, x::Vector)


@component function myc(; name)
   
    vars = @variables begin
       (N(t))[1:2]
       H(t)
       T(t)
    end

    eqs =  [scalarize(D(N) .~ -N), D(H) ~ H/sum(scalarize(N)), 
    H - myfun(T, [N...]) ~ 0.0]     

    ODESystem([eqs...;], t, collect(Iterators.flatten(vars)), []; name)
end

component = myc(; name = :myc)
simple_prob = structural_simplify(component; check_consistency = true)
u0 = (simple_prob.N[1] => 0.5, simple_prob.N[2] => 1.5, simple_prob.T => 298.)
prob = ODEProblem(simple_prob, u0, (0.0, 0.1))

sol = solve(prob, ImplicitEuler(); adaptive = false, dt = 0.01)

Error & Stacktrace ⚠️

ERROR: MethodError: Cannot `convert` an object of type SymbolicUtils.BasicSymbolic{Real} to an object of type Float64

Closest candidates are:
  convert(::Type{T}, ::Unitful.Quantity) where T<:Real
   @ Unitful C:\Users\vinicius\.julia\packages\Unitful\6r8Hq\src\conversion.jl:139
  convert(::Type{T}, ::VectorizationBase.AbstractSIMD) where T<:Union{Bool, Float16, Float32, Float64, Int16, Int32, Int64, Int8, UInt16, UInt32, UInt64, UInt8, SIMDTypes.Bit}
   @ VectorizationBase C:\Users\vinicius\.julia\packages\VectorizationBase\LqJbS\src\base_defs.jl:201
  convert(::Type{T}, ::Union{Static.StaticBool{N}, Static.StaticFloat64{N}, Static.StaticInt{N}} where N) where T<:Number
   @ Static C:\Users\vinicius\.julia\packages\Static\aXksX\src\Static.jl:427
  ...

Stacktrace:
  [1] setindex!(A::Vector{Float64}, x::SymbolicUtils.BasicSymbolic{Real}, i1::Int64)
    @ Base .\array.jl:1021
  [2] _unsafe_copyto!(dest::Vector{Float64}, doffs::Int64, src::Vector{Any}, soffs::Int64, n::Int64)
    @ Base .\array.jl:299
  [3] unsafe_copyto!
    @ Base .\array.jl:353 [inlined]
  [4] _copyto_impl!
    @ Base .\array.jl:376 [inlined]
  [5] copyto!
    @ Base .\array.jl:363 [inlined]
  [6] copyto!
    @ Base .\array.jl:385 [inlined]
  [7] copyto!
    @ Base.Broadcast .\broadcast.jl:997 [inlined]
  [8] copyto!
    @ Base.Broadcast .\broadcast.jl:956 [inlined]
  [9] materialize!
    @ Base.Broadcast .\broadcast.jl:914 [inlined]
 [10] materialize!(dest::Vector{…}, bc::Base.Broadcast.Broadcasted{…})
    @ Base.Broadcast .\broadcast.jl:911
 [11] _initialize_dae!(integrator::OrdinaryDiffEq.ODEIntegrator{…}, prob::ODEProblem{…}, alg::OrdinaryDiffEq.OverrideInit{…}, isinplace::Val{…})
    @ OrdinaryDiffEq C:\Users\vinicius\.julia\packages\OrdinaryDiffEq\HQ92J\src\initialize_dae.jl:161
 [12] _initialize_dae!
    @ OrdinaryDiffEq C:\Users\vinicius\.julia\packages\OrdinaryDiffEq\HQ92J\src\initialize_dae.jl:88 [inlined]
 [13] initialize_dae!
    @ OrdinaryDiffEq C:\Users\vinicius\.julia\packages\OrdinaryDiffEq\HQ92J\src\initialize_dae.jl:78 [inlined]
 [14] initialize_dae!(integrator::OrdinaryDiffEq.ODEIntegrator{…})
    @ OrdinaryDiffEq C:\Users\vinicius\.julia\packages\OrdinaryDiffEq\HQ92J\src\initialize_dae.jl:78
 [15] __init(prob::ODEProblem{…}, alg::ImplicitEuler{…}, timeseries_init::Tuple{}, ts_init::Tuple{}, ks_init::Tuple{}, recompile::Type{…}; saveat::Tuple{}, tstops::Tuple{}, d_discontinuities::Tuple{}, save_idxs::Nothing, save_everystep::Bool, save_on::Bool, save_start::Bool, save_end::Nothing, callback::Nothing, dense::Bool, calck::Bool, dt::Float64, dtmin::Float64, dtmax::Float64, force_dtmin::Bool, adaptive::Bool, gamma::Rational{…}, abstol::Nothing, reltol::Nothing, qmin::Rational{…}, qmax::Int64, qsteady_min::Int64, qsteady_max::Rational{…}, beta1::Nothing, beta2::Nothing, qoldinit::Rational{…}, controller::Nothing, fullnormalize::Bool, failfactor::Int64, 
maxiters::Int64, internalnorm::typeof(DiffEqBase.ODE_DEFAULT_NORM), internalopnorm::typeof(LinearAlgebra.opnorm), isoutofdomain::typeof(DiffEqBase.ODE_DEFAULT_ISOUTOFDOMAIN), unstable_check::typeof(DiffEqBase.ODE_DEFAULT_UNSTABLE_CHECK), verbose::Bool, timeseries_errors::Bool, dense_errors::Bool, advance_to_tstop::Bool, stop_at_next_tstop::Bool, initialize_save::Bool, progress::Bool, progress_steps::Int64, progress_name::String, progress_message::typeof(DiffEqBase.ODE_DEFAULT_PROG_MESSAGE), progress_id::Symbol, userdata::Nothing, allow_extrapolation::Bool, initialize_integrator::Bool, alias_u0::Bool, alias_du0::Bool, initializealg::OrdinaryDiffEq.DefaultInit, 
kwargs::@Kwargs{})
    @ OrdinaryDiffEq C:\Users\vinicius\.julia\packages\OrdinaryDiffEq\HQ92J\src\solve.jl:502
 [16] __init(prob::Union{…}, alg::Union{…}, timeseries_init::Any, ts_init::Any, ks_init::Any, recompile::Type{…}) where recompile_flag (repeats 5 times)
    @ OrdinaryDiffEq C:\Users\vinicius\.julia\packages\OrdinaryDiffEq\HQ92J\src\solve.jl:11 [inlined]
 [17] __solve(::ODEProblem{…}, ::ImplicitEuler{…}; kwargs::@Kwargs{})
    @ OrdinaryDiffEq C:\Users\vinicius\.julia\packages\OrdinaryDiffEq\HQ92J\src\solve.jl:6
 [18] __solve
    @ C:\Users\vinicius\.julia\packages\OrdinaryDiffEq\HQ92J\src\solve.jl:1 [inlined]
 [19] solve_call(_prob::ODEProblem{…}, args::ImplicitEuler{…}; merge_callbacks::Bool, kwargshandle::Nothing, kwargs::@Kwargs{})
    @ DiffEqBase C:\Users\vinicius\.julia\packages\DiffEqBase\c8MAQ\src\solve.jl:612
 [20] solve_up(prob::ODEProblem{…}, sensealg::Nothing, u0::Vector{…}, p::ModelingToolkit.MTKParameters{…}, args::ImplicitEuler{…}; kwargs::@Kwargs{})
    @ DiffEqBase C:\Users\vinicius\.julia\packages\DiffEqBase\c8MAQ\src\solve.jl:1080
 [21] solve_up
    @ C:\Users\vinicius\.julia\packages\DiffEqBase\c8MAQ\src\solve.jl:1066 [inlined]
 [22] solve(prob::ODEProblem{…}, args::ImplicitEuler{…}; sensealg::Nothing, u0::Nothing, p::Nothing, wrap::Val{…}, kwargs::@Kwargs{})
    @ DiffEqBase C:\Users\vinicius\.julia\packages\DiffEqBase\c8MAQ\src\solve.jl:1003
 [23] top-level scope
    @ c:\Users\vinicius\OneDrive - NTNU\Research\flows\test.jl:30
Some type information was truncated. Use `show(err)` to see complete types.

Environment (please complete the following information):

  • Output of using Pkg; Pkg.status()
Status `C:\Users\vinicius\.julia\environments\v1.10\Project.toml`
  [47edcb42] ADTypes v1.5.3
  [7c7805af] Clapeyron v0.6.2 `https://github.com/ClapeyronThermo/Clapeyron.jl#tpflash_updates`
  [b0b7db55] ComponentArrays v0.15.14
  [8bb1440f] DelimitedFiles v1.9.1
  [aae7a2af] DiffEqFlux v3.5.1
  [0c46a032] DifferentialEquations v7.13.0
  [7073ff75] IJulia v1.25.0
  [b964fa9f] LaTeXStrings v1.3.1
⌃ [b2108857] Lux v0.5.59
  [961ee093] ModelingToolkit v9.24.0
  [3bd65402] Optimisers v0.3.3
⌃ [7f7a1694] Optimization v3.26.3
  [36348300] OptimizationOptimJL v0.3.2
  [42dfb2eb] OptimizationOptimisers v0.2.1
  [a03496cd] PlotlyBase v0.8.19
  [f2990250] PlotlyKaleido v2.2.4
⌃ [91a5bcdd] Plots v1.40.4
  [c3e4b0f8] Pluto v0.19.43
  [8886c03b] ProcessSimulator v1.0.0-DEV `https://github.com/SciML/ProcessSimulator.jl#vini/juliacon`
⌃ [1ed8b502] SciMLSensitivity v7.62.0
  [0c5d862f] Symbolics v5.33.0
  [e88e6eb3] Zygote v0.6.70
  [de0858da] Printf
  • Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
  [47edcb42] ADTypes v1.5.3
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⌃ [4fba245c] ArrayInterface v7.11.0
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  [62783981] BitTwiddlingConvenienceFunctions v0.1.6
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  [764a87c0] BoundaryValueDiffEq v5.9.0
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.6
  [a9c8d775] CPUTime v1.0.0
  [00ebfdb7] CSTParser v3.4.3
  [336ed68f] CSV v0.10.14
  [159f3aea] Cairo v1.0.5
  [49dc2e85] Calculus v0.5.1
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  [d360d2e6] ChainRulesCore v1.24.0
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  [5ae59095] Colors v0.12.11
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  [34da2185] Compat v4.15.0
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  [8f4d0f93] Conda v1.10.2
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⌅ [7c1d4256] DynamicPolynomials v0.5.7
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⌃ [842dd82b] InlineStrings v1.4.1
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⌃ [98e50ef6] JuliaFormatter v1.0.56
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⌃ [b2108857] Lux v0.5.59
⌃ [bb33d45b] LuxCore v0.1.17
⌃ [34f89e08] LuxDeviceUtils v0.1.24
⌃ [82251201] LuxLib v0.3.28
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⌅ [20f20a25] MakieCore v0.7.3
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  [af67fdf4] ManifoldDiff v0.3.10
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⌅ [a3b82374] MatrixFactorizations v2.2.0
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  [699a6c99] SimpleTraits v0.9.4
  [ce78b400] SimpleUnPack v1.1.0
  [47aef6b3] SimpleWeightedGraphs v1.4.0
  [b85f4697] SoftGlobalScope v1.1.0
  [a2af1166] SortingAlgorithms v1.2.1
  [47a9eef4] SparseDiffTools v2.19.0
  [dc90abb0] SparseInverseSubset v0.1.2
  [0a514795] SparseMatrixColorings v0.3.3
  [e56a9233] Sparspak v0.3.9
  [d4ead438] SpatialIndexing v0.1.6
  [276daf66] SpecialFunctions v2.4.0
  [91464d47] StableTasks v0.1.5
  [aedffcd0] Static v1.1.0
  [0d7ed370] StaticArrayInterface v1.5.1
  [90137ffa] StaticArrays v1.9.7
  [1e83bf80] StaticArraysCore v1.4.3
  [82ae8749] StatsAPI v1.7.0
  [2913bbd2] StatsBase v0.34.3
  [4c63d2b9] StatsFuns v1.3.1
  [9672c7b4] SteadyStateDiffEq v2.2.0
  [789caeaf] StochasticDiffEq v6.66.0
  [7792a7ef] StrideArraysCore v0.5.7
  [69024149] StringEncodings v0.3.7
  [09ab397b] StructArrays v0.6.18
  [53d494c1] StructIO v0.3.0
  [856f2bd8] StructTypes v1.10.0
  [c3572dad] Sundials v4.24.0
⌅ [4297ee4d] SymbolicAnalysis v0.1.0
⌃ [2efcf032] SymbolicIndexingInterface v0.3.25
  [19f23fe9] SymbolicLimits v0.2.1
  [d1185830] SymbolicUtils v2.1.0
  [0c5d862f] Symbolics v5.33.0
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.11.1
  [62fd8b95] TensorCore v0.1.1
⌅ [8ea1fca8] TermInterface v0.4.1
  [5d786b92] TerminalLoggers v0.1.7
  [8290d209] ThreadingUtilities v0.5.2
  [a759f4b9] TimerOutputs v0.5.24
  [0796e94c] Tokenize v0.5.29
  [9f7883ad] Tracker v0.2.34
  [3bb67fe8] TranscodingStreams v0.11.0
  [d5829a12] TriangularSolve v0.2.1
  [410a4b4d] Tricks v0.1.8
  [781d530d] TruncatedStacktraces v1.4.0
  [5c2747f8] URIs v1.5.1
  [3a884ed6] UnPack v1.0.2
  [1cfade01] UnicodeFun v0.4.1
  [1986cc42] Unitful v1.20.0
  [45397f5d] UnitfulLatexify v1.6.4
  [a7c27f48] Unityper v0.1.6
  [0fe1646c] UnrolledUtilities v0.1.2
  [013be700] UnsafeAtomics v0.2.1
  [d80eeb9a] UnsafeAtomicsLLVM v0.1.5
  [41fe7b60] Unzip v0.2.0
  [3d5dd08c] VectorizationBase v0.21.70
  [81def892] VersionParsing v1.3.0
  [19fa3120] VertexSafeGraphs v0.2.0
  [ea10d353] WeakRefStrings v1.4.2
⌃ [d49dbf32] WeightInitializers v0.1.9
  [76eceee3] WorkerUtilities v1.6.1
  [ddb6d928] YAML v0.4.11
  [c2297ded] ZMQ v1.2.6
  [e88e6eb3] Zygote v0.6.70
  [700de1a5] ZygoteRules v0.2.5
  [6e34b625] Bzip2_jll v1.0.8+1
  [83423d85] Cairo_jll v1.18.0+2
  [5ae413db] EarCut_jll v2.2.4+0
⌅ [7cc45869] Enzyme_jll v0.0.128+0
  [2702e6a9] EpollShim_jll v0.0.20230411+0
  [2e619515] Expat_jll v2.6.2+0
⌅ [b22a6f82] FFMPEG_jll v4.4.4+1
  [f5851436] FFTW_jll v3.3.10+0
  [a3f928ae] Fontconfig_jll v2.13.96+0
  [d7e528f0] FreeType2_jll v2.13.2+0
  [559328eb] FriBidi_jll v1.0.14+0
  [0656b61e] GLFW_jll v3.4.0+0
  [d2c73de3] GR_jll v0.73.6+0
  [78b55507] Gettext_jll v0.21.0+0
  [7746bdde] Glib_jll v2.80.2+0
  [3b182d85] Graphite2_jll v1.3.14+0
  [2e76f6c2] HarfBuzz_jll v2.8.1+1
⌃ [1d5cc7b8] IntelOpenMP_jll v2024.1.0+0
  [aacddb02] JpegTurbo_jll v3.0.3+0
  [f7e6163d] Kaleido_jll v0.2.1+0
  [c1c5ebd0] LAME_jll v3.100.2+0
⌅ [88015f11] LERC_jll v3.0.0+1
  [dad2f222] LLVMExtra_jll v0.0.30+0
  [1d63c593] LLVMOpenMP_jll v15.0.7+0
  [dd4b983a] LZO_jll v2.10.2+0
  [81d17ec3] L_BFGS_B_jll v3.0.1+0
⌅ [e9f186c6] Libffi_jll v3.2.2+1
  [d4300ac3] Libgcrypt_jll v1.8.11+0
  [7e76a0d4] Libglvnd_jll v1.6.0+0
  [7add5ba3] Libgpg_error_jll v1.49.0+0
  [94ce4f54] Libiconv_jll v1.17.0+0
  [4b2f31a3] Libmount_jll v2.40.1+0
⌅ [89763e89] Libtiff_jll v4.5.1+1
  [38a345b3] Libuuid_jll v2.40.1+0
⌃ [856f044c] MKL_jll v2024.1.0+0
  [e7412a2a] Ogg_jll v1.3.5+1
  [458c3c95] OpenSSL_jll v3.0.14+0
  [efe28fd5] OpenSpecFun_jll v0.5.5+0
  [91d4177d] Opus_jll v1.3.2+0
  [36c8627f] Pango_jll v1.52.2+0
  [30392449] Pixman_jll v0.43.4+0
  [c0090381] Qt6Base_jll v6.7.1+1
  [f50d1b31] Rmath_jll v0.4.2+0
⌅ [fb77eaff] Sundials_jll v5.2.2+0
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] Wayland_jll v1.21.0+1
  [2381bf8a] Wayland_protocols_jll v1.31.0+0
  [02c8fc9c] XML2_jll v2.13.1+0
  [aed1982a] XSLT_jll v1.1.41+0
  [ffd25f8a] XZ_jll v5.4.6+0
  [f67eecfb] Xorg_libICE_jll v1.1.1+0
  [c834827a] Xorg_libSM_jll v1.2.4+0
  [4f6342f7] Xorg_libX11_jll v1.8.6+0
  [0c0b7dd1] Xorg_libXau_jll v1.0.11+0
  [935fb764] Xorg_libXcursor_jll v1.2.0+4
  [a3789734] Xorg_libXdmcp_jll v1.1.4+0
  [1082639a] Xorg_libXext_jll v1.3.6+0
  [d091e8ba] Xorg_libXfixes_jll v5.0.3+4
  [a51aa0fd] Xorg_libXi_jll v1.7.10+4
  [d1454406] Xorg_libXinerama_jll v1.1.4+4
  [ec84b674] Xorg_libXrandr_jll v1.5.2+4
  [ea2f1a96] Xorg_libXrender_jll v0.9.11+0
  [14d82f49] Xorg_libpthread_stubs_jll v0.1.1+0
  [c7cfdc94] Xorg_libxcb_jll v1.17.0+0
  [cc61e674] Xorg_libxkbfile_jll v1.1.2+0
  [e920d4aa] Xorg_xcb_util_cursor_jll v0.1.4+0
  [12413925] Xorg_xcb_util_image_jll v0.4.0+1
  [2def613f] Xorg_xcb_util_jll v0.4.0+1
  [975044d2] Xorg_xcb_util_keysyms_jll v0.4.0+1
  [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.9+1
  [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.1+1
  [35661453] Xorg_xkbcomp_jll v1.4.6+0
  [33bec58e] Xorg_xkeyboard_config_jll v2.39.0+0
  [c5fb5394] Xorg_xtrans_jll v1.5.0+0
  [8f1865be] ZeroMQ_jll v4.3.5+0
  [3161d3a3] Zstd_jll v1.5.6+0
  [f6050b86] coordgenlibs_jll v3.0.2+0
  [35ca27e7] eudev_jll v3.2.9+0
⌅ [214eeab7] fzf_jll v0.43.0+0
  [1a1c6b14] gperf_jll v3.1.1+0
  [a4ae2306] libaom_jll v3.9.0+0
  [0ac62f75] libass_jll v0.15.1+0
  [2db6ffa8] libevdev_jll v1.11.0+0
  [f638f0a6] libfdk_aac_jll v2.0.2+0
  [172afb32] libinchi_jll v1.6.0+0
  [36db933b] libinput_jll v1.18.0+0
  [b53b4c65] libpng_jll v1.6.43+1
  [a9144af2] libsodium_jll v1.0.20+0
  [f27f6e37] libvorbis_jll v1.3.7+1
  [009596ad] mtdev_jll v1.1.6+0
  [1317d2d5] oneTBB_jll v2021.12.0+0
  [1270edf5] x264_jll v2021.5.5+0
  [dfaa095f] x265_jll v3.5.0+0
  [d8fb68d0] xkbcommon_jll v1.4.1+1
  [0dad84c5] ArgTools v1.1.1
  [56f22d72] Artifacts
  [2a0f44e3] Base64
  [ade2ca70] Dates
  [8ba89e20] Distributed
  [f43a241f] Downloads v1.6.0
  [7b1f6079] FileWatching
  [9fa8497b] Future
  [b77e0a4c] InteractiveUtils
  [4af54fe1] LazyArtifacts
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2
  [8f399da3] Libdl
  [37e2e46d] LinearAlgebra
  [56ddb016] Logging
  [d6f4376e] Markdown
  [a63ad114] Mmap
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.10.0
  [de0858da] Printf
  [3fa0cd96] REPL
  [9a3f8284] Random
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization
  [1a1011a3] SharedArrays
  [6462fe0b] Sockets
  [2f01184e] SparseArrays v1.10.0
  [10745b16] Statistics v1.10.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test
  [cf7118a7] UUIDs
  [4ec0a83e] Unicode
  [e66e0078] CompilerSupportLibraries_jll v1.0.5+1
  [deac9b47] LibCURL_jll v8.4.0+0
  [e37daf67] LibGit2_jll v1.6.4+0
  [29816b5a] LibSSH2_jll v1.11.0+1
  [c8ffd9c3] MbedTLS_jll v2.28.2+1
  [14a3606d] MozillaCACerts_jll v2023.1.10
  [4536629a] OpenBLAS_jll v0.3.23+2
  [05823500] OpenLibm_jll v0.8.1+2
  [efcefdf7] PCRE2_jll v10.42.0+1
  [bea87d4a] SuiteSparse_jll v7.2.1+1
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.8.0+1
  [8e850ede] nghttp2_jll v1.52.0+1
  [3f19e933] p7zip_jll v17.4.0+2
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`
  • Output of versioninfo()
Julia Version 1.10.0
Commit 3120989f39 (2023-12-25 18:01 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: 16 × 12th Gen Intel(R) Core(TM) i5-1250P
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, alderlake)
  Threads: 1 on 16 virtual cores
Environment:
  JULIA_EDITOR = code
  JULIA_NUM_THREADS =

Additional context

This problem is relevant to semi-explicit DAEs within chemical engineering when physico-chemical properties need to be called from external libraries and registered to stop tracing.

@avinashresearch1

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