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Performance regression in non-autonomous Linear ODE solvers #2121

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yakovbraver opened this issue Jan 22, 2024 · 4 comments · Fixed by SciML/ExponentialUtilities.jl#175
Open

Performance regression in non-autonomous Linear ODE solvers #2121

yakovbraver opened this issue Jan 22, 2024 · 4 comments · Fixed by SciML/ExponentialUtilities.jl#175
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@oscardssmith

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@yakovbraver
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There are two performance issues when using state-independent solvers for non-autonomous linear ODEs:

  1. A ~2x performance regression going from OrdinaryDiffEq v6.54.0 to v6.55.0 when the linear operator is either dense or sparse. Probably caused by Use ExponentialUtilities.exponential! instead of exp and add method as an option in solvers that currently use exp and expv #2009.
  2. An additional ~28x performance regression going from OrdinaryDiffEq v6.55.0 to v6.56.0 when the linear operator is sparse.
    Probably caused by Faster linear_perform_step by reducing deepcopies and using sparse matrix when possible. #2022.

These problems persist in the latest v6.69.0.

Here are the timings (in seconds):

v6.54.0 v6.55.0 v6.56.0 v6.69.0
dense 1.3 2.6 2.6 2.5
sparse 1.2 2.6 73.8 73.3

MRE:

using DifferentialEquations, BenchmarkTools, LinearAlgebra, SparseArrays
import Random

function odetest(U0, params, A0)
    A_op = DiffEqArrayOperator(A0, update_func=update_func!)
    prob = ODEProblem(A_op, U0, (0.0, 2.0), params, save_everystep=false)
    sol = solve(prob, MagnusGauss4(), dt=0.01)
end

function update_func!(A, u, p, t)
    A .= im * p[1] * cos(10t)
end

n = 150 # matrix size
Random.seed!(1)
X = SymTridiagonal(rand(n), rand(n-1))
U0 = Matrix{ComplexF64}(I, n, n)

# dense case
params = [Matrix(X)]
A0 = zeros(ComplexF64, n, n)
@btime odetest($U0, $params, $A0);

# sparse case
params = [sparse(X)]
A0 = spzeros(ComplexF64, n, n)
@btime odetest($U0, $params, $A0);
Pkg.status() on v6.54.0 
julia> Pkg.status()
Status `~/.julia/environments/v1.10/Project.toml`
  [233ec0c9] AMRVW v1.2.1
  [13e28ba4] AppleAccelerate v0.4.0
  [6e4b80f9] BenchmarkTools v1.4.0
  [ffab5731] BlockBandedMatrices v0.12.9
  [861a8166] Combinatorics v1.0.2
  [39dd38d3] Dierckx v0.5.3
⌃ [0c46a032] DifferentialEquations v7.10.0
  [b305315f] Elliptic v1.0.1
  [cc61a311] FLoops v0.2.1
⌅ [d1acc4aa] IntervalArithmetic v0.20.9
  [d2bf35a9] IntervalRootFinding v0.5.11
  [0b1a1467] KrylovKit v0.6.0
  [b964fa9f] LaTeXStrings v1.3.1
  [23fbe1c1] Latexify v0.16.1
  [442fdcdd] Measures v0.3.2
  [c03570c3] Memoize v0.4.4
  [429524aa] Optim v1.7.8
⌃ [1dea7af3] OrdinaryDiffEq v6.54.0
  [14b8a8f1] PkgTemplates v0.7.48
  [f0f68f2c] PlotlyJS v0.18.12
  [91a5bcdd] Plots v1.39.0
⌅ [f27b6e38] Polynomials v3.2.13
  [92933f4c] ProgressMeter v1.9.0
  [274fc56d] PythonPlot v1.0.3
  [1fd47b50] QuadGK v2.9.4
  [295af30f] Revise v3.5.13
  [f2b01f46] Roots v2.1.0
⌅ [0bca4576] SciMLBase v1.98.1
  [276daf66] SpecialFunctions v2.3.1
  [90137ffa] StaticArrays v1.9.1




julia> Pkg.status(; mode = PKGMODE_MANIFEST)
Status `~/.julia/environments/v1.10/Manifest.toml`
⌅ [47edcb42] ADTypes v0.1.6
  [233ec0c9] AMRVW v1.2.1
  [7d9f7c33] Accessors v0.1.35
⌅ [79e6a3ab] Adapt v3.7.2
  [13e28ba4] AppleAccelerate v0.4.0
  [dce04be8] ArgCheck v2.3.0
  [ec485272] ArnoldiMethod v0.2.0
  [4fba245c] ArrayInterface v7.7.0
  [4c555306] ArrayLayouts v1.5.2
  [bf4720bc] AssetRegistry v0.1.0
⌅ [aae01518] BandedMatrices v0.17.38
  [198e06fe] BangBang v0.3.39
  [9718e550] Baselet v0.1.1
  [6e4b80f9] BenchmarkTools v1.4.0
  [d1d4a3ce] BitFlags v0.1.8
  [62783981] BitTwiddlingConvenienceFunctions v0.1.5
  [ad839575] Blink v0.12.9
  [8e7c35d0] BlockArrays v0.16.39
  [ffab5731] BlockBandedMatrices v0.12.9
⌅ [764a87c0] BoundaryValueDiffEq v4.0.1
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.4
  [96374032] CRlibm v1.0.1
  [49dc2e85] Calculus v0.5.1
  [d360d2e6] ChainRulesCore v1.19.1
  [fb6a15b2] CloseOpenIntervals v0.1.12
  [da1fd8a2] CodeTracking v1.3.5
  [944b1d66] CodecZlib v0.7.3
  [35d6a980] ColorSchemes v3.24.0
  [3da002f7] ColorTypes v0.11.4
  [c3611d14] ColorVectorSpace v0.10.0
  [5ae59095] Colors v0.12.10
  [861a8166] Combinatorics v1.0.2
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.0
  [34da2185] Compat v4.12.0
  [a33af91c] CompositionsBase v0.1.2
  [2569d6c7] ConcreteStructs v0.2.3
  [f0e56b4a] ConcurrentUtilities v2.3.0
  [992eb4ea] CondaPkg v0.2.22
  [187b0558] ConstructionBase v1.5.4
  [6add18c4] ContextVariablesX v0.1.3
  [d38c429a] Contour v0.6.2
  [adafc99b] CpuId v0.3.1
  [9a962f9c] DataAPI v1.15.0
  [864edb3b] DataStructures v0.18.16
  [e2d170a0] DataValueInterfaces v1.0.0
  [244e2a9f] DefineSingletons v0.1.2
⌃ [bcd4f6db] DelayDiffEq v5.44.0
  [8bb1440f] DelimitedFiles v1.9.1
  [39dd38d3] Dierckx v0.5.3
⌃ [2b5f629d] DiffEqBase v6.130.0
⌃ [459566f4] DiffEqCallbacks v2.35.0
  [77a26b50] DiffEqNoiseProcess v5.20.0
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
⌃ [0c46a032] DifferentialEquations v7.10.0
  [b4f34e82] Distances v0.10.11
  [31c24e10] Distributions v0.25.107
  [ffbed154] DocStringExtensions v0.9.3
  [fa6b7ba4] DualNumbers v0.6.8
  [b305315f] Elliptic v1.0.1
  [4e289a0a] EnumX v1.0.4
  [f151be2c] EnzymeCore v0.6.5
  [90fa49ef] ErrorfreeArithmetic v0.5.2
  [460bff9d] ExceptionUnwrapping v0.1.10
  [d4d017d3] ExponentialUtilities v1.25.0
  [e2ba6199] ExprTools v0.1.10
  [c87230d0] FFMPEG v0.4.1
  [cc61a311] FLoops v0.2.1
  [b9860ae5] FLoopsBase v0.1.1
  [7034ab61] FastBroadcast v0.2.8
  [9aa1b823] FastClosures v0.3.2
  [29a986be] FastLapackInterface v2.0.0
  [fa42c844] FastRounding v0.3.1
  [1a297f60] FillArrays v1.9.3
  [6a86dc24] FiniteDiff v2.22.0
  [53c48c17] FixedPointNumbers v0.8.4
  [59287772] Formatting v0.4.2
  [f6369f11] ForwardDiff v0.10.36
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [de31a74c] FunctionalCollections v0.5.0
  [d9f16b24] Functors v0.4.5
⌃ [46192b85] GPUArraysCore v0.1.5
⌅ [28b8d3ca] GR v0.72.10
  [c145ed77] GenericSchur v0.5.3
  [86223c79] Graphs v1.9.0
  [42e2da0e] Grisu v1.0.2
  [cd3eb016] HTTP v1.10.1
  [9fb69e20] Hiccup v0.2.2
  [3e5b6fbb] HostCPUFeatures v0.1.16
  [34004b35] HypergeometricFunctions v0.3.23
  [615f187c] IfElse v0.1.1
  [d25df0c9] Inflate v0.1.4
  [22cec73e] InitialValues v0.3.1
⌅ [d1acc4aa] IntervalArithmetic v0.20.9
  [d2bf35a9] IntervalRootFinding v0.5.11
  [3587e190] InverseFunctions v0.1.12
  [92d709cd] IrrationalConstants v0.2.2
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.7
  [692b3bcd] JLLWrappers v1.5.0
  [97c1335a] JSExpr v0.5.4
  [682c06a0] JSON v0.21.4
  [0f8b85d8] JSON3 v1.14.0
  [aa1ae85d] JuliaInterpreter v0.9.28
  [b14d175d] JuliaVariables v0.2.4
  [ccbc3e58] JumpProcesses v9.10.1
  [ef3ab10e] KLU v0.4.1
  [ba0b0d4f] Krylov v0.9.5
  [0b1a1467] KrylovKit v0.6.0
  [b964fa9f] LaTeXStrings v1.3.1
  [23fbe1c1] Latexify v0.16.1
  [10f19ff3] LayoutPointers v0.1.15
  [50d2b5c4] Lazy v0.15.1
  [2d8b4e74] LevyArea v1.0.0
  [d3d80556] LineSearches v7.2.0
⌃ [7ed4a6bd] LinearSolve v2.10.0
  [2ab3a3ac] LogExpFunctions v0.3.26
  [e6f89c97] LoggingExtras v1.0.3
  [bdcacae8] LoopVectorization v0.12.166
  [6f1432cf] LoweredCodeUtils v2.4.4
  [d8e11817] MLStyle v0.4.17
  [1914dd2f] MacroTools v0.5.13
  [d125e4d3] ManualMemory v0.1.8
  [a3b82374] MatrixFactorizations v2.1.0
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
  [c03570c3] Memoize v0.4.4
  [128add7d] MicroCollections v0.1.4
  [0b3b1443] MicroMamba v0.1.14
  [e1d29d7a] Missings v1.1.0
  [78c3b35d] Mocking v0.7.7
  [46d2c3a1] MuladdMacro v0.2.4
  [ffc61752] Mustache v1.0.19
  [a975b10e] Mux v1.0.1
  [d41bc354] NLSolversBase v7.8.3
  [2774e3e8] NLsolve v4.5.1
  [77ba4419] NaNMath v1.0.2
  [71a1bf82] NameResolution v0.1.5
⌅ [8913a72c] NonlinearSolve v1.10.1
  [510215fc] Observables v0.5.5
  [6fe1bfb0] OffsetArrays v1.13.0
  [4d8831e6] OpenSSL v1.4.1
  [429524aa] Optim v1.7.8
  [bac558e1] OrderedCollections v1.6.3
⌃ [1dea7af3] OrdinaryDiffEq v6.54.0
  [90014a1f] PDMats v0.11.31
  [65ce6f38] PackageExtensionCompat v1.0.2
  [d96e819e] Parameters v0.12.3
  [69de0a69] Parsers v2.8.1
  [fa939f87] Pidfile v1.3.0
  [b98c9c47] Pipe v1.3.0
  [14b8a8f1] PkgTemplates v0.7.48
  [ccf2f8ad] PlotThemes v3.1.0
  [995b91a9] PlotUtils v1.4.0
  [a03496cd] PlotlyBase v0.8.19
  [f0f68f2c] PlotlyJS v0.18.12
  [91a5bcdd] Plots v1.39.0
  [e409e4f3] PoissonRandom v0.4.4
  [f517fe37] Polyester v0.7.9
  [1d0040c9] PolyesterWeave v0.2.1
⌅ [f27b6e38] Polynomials v3.2.13
  [85a6dd25] PositiveFactorizations v0.2.4
  [d236fae5] PreallocationTools v0.4.17
  [aea7be01] PrecompileTools v1.2.0
  [21216c6a] Preferences v1.4.1
  [8162dcfd] PrettyPrint v0.2.0
  [92933f4c] ProgressMeter v1.9.0
  [6099a3de] PythonCall v0.9.15
  [274fc56d] PythonPlot v1.0.3
  [1fd47b50] QuadGK v2.9.4
  [74087812] Random123 v1.6.2
  [e6cf234a] RandomNumbers v1.5.3
  [3cdcf5f2] RecipesBase v1.3.4
  [01d81517] RecipesPipeline v0.6.12
⌅ [731186ca] RecursiveArrayTools v2.38.10
  [f2c3362d] RecursiveFactorization v0.2.21
  [189a3867] Reexport v1.2.2
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.0
  [ae5879a3] ResettableStacks v1.1.1
  [295af30f] Revise v3.5.13
  [79098fc4] Rmath v0.7.1
  [f2b01f46] Roots v2.1.0
  [5eaf0fd0] RoundingEmulator v0.2.1
  [7e49a35a] RuntimeGeneratedFunctions v0.5.12
  [94e857df] SIMDTypes v0.1.0
  [476501e8] SLEEFPirates v0.6.42
⌅ [0bca4576] SciMLBase v1.98.1
  [e9a6253c] SciMLNLSolve v0.1.9
  [c0aeaf25] SciMLOperators v0.3.7
  [6c6a2e73] Scratch v1.2.1
  [3cc68bcd] SetRounding v0.2.1
  [efcf1570] Setfield v1.1.1
  [992d4aef] Showoff v1.0.3
  [777ac1f9] SimpleBufferStream v1.1.0
⌅ [727e6d20] SimpleNonlinearSolve v0.1.23
  [699a6c99] SimpleTraits v0.9.4
  [ce78b400] SimpleUnPack v1.1.0
  [a2af1166] SortingAlgorithms v1.2.1
⌃ [47a9eef4] SparseDiffTools v2.4.1
  [e56a9233] Sparspak v0.3.9
  [276daf66] SpecialFunctions v2.3.1
  [171d559e] SplittablesBase v0.1.15
  [aedffcd0] Static v0.8.8
  [0d7ed370] StaticArrayInterface v1.5.0
  [90137ffa] StaticArrays v1.9.1
  [1e83bf80] StaticArraysCore v1.4.2
  [82ae8749] StatsAPI v1.7.0
  [2913bbd2] StatsBase v0.34.2
  [4c63d2b9] StatsFuns v1.3.0
⌅ [9672c7b4] SteadyStateDiffEq v1.16.1
⌃ [789caeaf] StochasticDiffEq v6.62.0
  [7792a7ef] StrideArraysCore v0.5.2
  [856f2bd8] StructTypes v1.10.0
⌃ [c3572dad] Sundials v4.20.1
⌅ [2efcf032] SymbolicIndexingInterface v0.2.2
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.11.1
  [62fd8b95] TensorCore v0.1.1
  [8290d209] ThreadingUtilities v0.5.2
  [3bb67fe8] TranscodingStreams v0.10.2
  [28d57a85] Transducers v0.4.80
  [d5829a12] TriangularSolve v0.1.20
  [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 v1.19.0
  [45397f5d] UnitfulLatexify v1.6.3
  [e17b2a0c] UnsafePointers v1.0.0
  [41fe7b60] Unzip v0.2.0
  [3d5dd08c] VectorizationBase v0.21.65
  [81def892] VersionParsing v1.3.0
  [19fa3120] VertexSafeGraphs v0.2.0
  [0f1e0344] WebIO v0.8.21
  [104b5d7c] WebSockets v1.6.0
  [cc8bc4a8] Widgets v0.6.6
  [700de1a5] ZygoteRules v0.2.5
  [6e34b625] Bzip2_jll v1.0.8+1
  [4e9b3aee] CRlibm_jll v1.0.1+0
  [83423d85] Cairo_jll v1.16.1+1
  [cd4c43a9] Dierckx_jll v0.1.0+0
  [2702e6a9] EpollShim_jll v0.0.20230411+0
  [2e619515] Expat_jll v2.5.0+0
  [b22a6f82] FFMPEG_jll v4.4.4+1
  [a3f928ae] Fontconfig_jll v2.13.93+0
  [d7e528f0] FreeType2_jll v2.13.1+0
  [559328eb] FriBidi_jll v1.0.10+0
  [0656b61e] GLFW_jll v3.3.9+0
⌅ [d2c73de3] GR_jll v0.72.10+0
  [78b55507] Gettext_jll v0.21.0+0
  [7746bdde] Glib_jll v2.76.5+0
  [3b182d85] Graphite2_jll v1.3.14+0
  [2e76f6c2] HarfBuzz_jll v2.8.1+1
  [1d5cc7b8] IntelOpenMP_jll v2024.0.2+0
  [aacddb02] JpegTurbo_jll v3.0.1+0
  [f7e6163d] Kaleido_jll v0.2.1+0
  [c1c5ebd0] LAME_jll v3.100.1+0
  [88015f11] LERC_jll v3.0.0+1
  [1d63c593] LLVMOpenMP_jll v15.0.7+0
  [dd4b983a] LZO_jll v2.10.1+0
⌅ [e9f186c6] Libffi_jll v3.2.2+1
  [d4300ac3] Libgcrypt_jll v1.8.7+0
  [7e76a0d4] Libglvnd_jll v1.6.0+0
  [7add5ba3] Libgpg_error_jll v1.42.0+0
  [94ce4f54] Libiconv_jll v1.17.0+0
  [4b2f31a3] Libmount_jll v2.35.0+0
⌅ [89763e89] Libtiff_jll v4.5.1+1
  [38a345b3] Libuuid_jll v2.36.0+0
  [856f044c] MKL_jll v2024.0.0+0
  [e7412a2a] Ogg_jll v1.3.5+1
  [458c3c95] OpenSSL_jll v3.0.12+0
  [efe28fd5] OpenSpecFun_jll v0.5.5+0
  [91d4177d] Opus_jll v1.3.2+0
  [30392449] Pixman_jll v0.42.2+0
  [c0090381] Qt6Base_jll v6.5.3+1
  [f50d1b31] Rmath_jll v0.4.0+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 v2.12.2+0
  [aed1982a] XSLT_jll v1.1.34+0
  [ffd25f8a] XZ_jll v5.4.5+0
  [f67eecfb] Xorg_libICE_jll v1.0.10+1
  [c834827a] Xorg_libSM_jll v1.2.3+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 v1.3.4+4
  [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 v0.9.10+4
  [14d82f49] Xorg_libpthread_stubs_jll v0.1.1+0
  [c7cfdc94] Xorg_libxcb_jll v1.15.0+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
  [3161d3a3] Zstd_jll v1.5.5+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 v3.4.0+0
  [0ac62f75] libass_jll v0.15.1+0
  [2db6ffa8] libevdev_jll v1.11.0+0
  [f638f0a6] libfdk_aac_jll v2.0.2+0
  [36db933b] libinput_jll v1.18.0+0
  [b53b4c65] libpng_jll v1.6.40+0
  [f27f6e37] libvorbis_jll v1.3.7+1
  [f8abcde7] micromamba_jll v1.4.9+0
  [009596ad] mtdev_jll v1.1.6+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
  [9abbd945] Profile
  [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
Pkg.status() on v6.55.0 
julia> Pkg.status()
Status `~/.julia/environments/v1.10/Project.toml`
  [233ec0c9] AMRVW v1.2.1
  [13e28ba4] AppleAccelerate v0.4.0
  [6e4b80f9] BenchmarkTools v1.4.0
  [ffab5731] BlockBandedMatrices v0.12.9
  [861a8166] Combinatorics v1.0.2
  [39dd38d3] Dierckx v0.5.3
⌃ [0c46a032] DifferentialEquations v7.10.0
  [b305315f] Elliptic v1.0.1
  [cc61a311] FLoops v0.2.1
⌅ [d1acc4aa] IntervalArithmetic v0.20.9
  [d2bf35a9] IntervalRootFinding v0.5.11
  [0b1a1467] KrylovKit v0.6.0
  [b964fa9f] LaTeXStrings v1.3.1
  [23fbe1c1] Latexify v0.16.1
  [442fdcdd] Measures v0.3.2
  [c03570c3] Memoize v0.4.4
  [429524aa] Optim v1.7.8
⌃ [1dea7af3] OrdinaryDiffEq v6.55.0
  [14b8a8f1] PkgTemplates v0.7.48
  [f0f68f2c] PlotlyJS v0.18.12
  [91a5bcdd] Plots v1.39.0
⌅ [f27b6e38] Polynomials v3.2.13
  [92933f4c] ProgressMeter v1.9.0
  [274fc56d] PythonPlot v1.0.3
  [1fd47b50] QuadGK v2.9.4
  [295af30f] Revise v3.5.13
  [f2b01f46] Roots v2.1.0
⌅ [0bca4576] SciMLBase v1.98.1
  [276daf66] SpecialFunctions v2.3.1
  [90137ffa] StaticArrays v1.9.1



julia> Pkg.status(; mode = PKGMODE_MANIFEST)
Status `~/.julia/environments/v1.10/Manifest.toml`
  [47edcb42] ADTypes v0.2.6
  [233ec0c9] AMRVW v1.2.1
  [7d9f7c33] Accessors v0.1.35
⌅ [79e6a3ab] Adapt v3.7.2
  [13e28ba4] AppleAccelerate v0.4.0
  [dce04be8] ArgCheck v2.3.0
  [ec485272] ArnoldiMethod v0.2.0
  [4fba245c] ArrayInterface v7.7.0
  [4c555306] ArrayLayouts v1.5.2
  [bf4720bc] AssetRegistry v0.1.0
⌅ [aae01518] BandedMatrices v0.17.38
  [198e06fe] BangBang v0.3.39
  [9718e550] Baselet v0.1.1
  [6e4b80f9] BenchmarkTools v1.4.0
  [d1d4a3ce] BitFlags v0.1.8
  [62783981] BitTwiddlingConvenienceFunctions v0.1.5
  [ad839575] Blink v0.12.9
  [8e7c35d0] BlockArrays v0.16.39
  [ffab5731] BlockBandedMatrices v0.12.9
⌅ [764a87c0] BoundaryValueDiffEq v4.0.1
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.4
  [96374032] CRlibm v1.0.1
  [49dc2e85] Calculus v0.5.1
  [d360d2e6] ChainRulesCore v1.19.1
  [fb6a15b2] CloseOpenIntervals v0.1.12
  [da1fd8a2] CodeTracking v1.3.5
  [944b1d66] CodecZlib v0.7.3
  [35d6a980] ColorSchemes v3.24.0
  [3da002f7] ColorTypes v0.11.4
  [c3611d14] ColorVectorSpace v0.10.0
  [5ae59095] Colors v0.12.10
  [861a8166] Combinatorics v1.0.2
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.0
  [34da2185] Compat v4.12.0
  [a33af91c] CompositionsBase v0.1.2
  [2569d6c7] ConcreteStructs v0.2.3
  [f0e56b4a] ConcurrentUtilities v2.3.0
  [992eb4ea] CondaPkg v0.2.22
  [187b0558] ConstructionBase v1.5.4
  [6add18c4] ContextVariablesX v0.1.3
  [d38c429a] Contour v0.6.2
  [adafc99b] CpuId v0.3.1
  [9a962f9c] DataAPI v1.15.0
  [864edb3b] DataStructures v0.18.16
  [e2d170a0] DataValueInterfaces v1.0.0
  [244e2a9f] DefineSingletons v0.1.2
⌃ [bcd4f6db] DelayDiffEq v5.44.0
  [8bb1440f] DelimitedFiles v1.9.1
  [39dd38d3] Dierckx v0.5.3
⌃ [2b5f629d] DiffEqBase v6.130.0
⌃ [459566f4] DiffEqCallbacks v2.35.0
  [77a26b50] DiffEqNoiseProcess v5.20.0
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
⌃ [0c46a032] DifferentialEquations v7.10.0
  [b4f34e82] Distances v0.10.11
  [31c24e10] Distributions v0.25.107
  [ffbed154] DocStringExtensions v0.9.3
  [fa6b7ba4] DualNumbers v0.6.8
  [b305315f] Elliptic v1.0.1
  [4e289a0a] EnumX v1.0.4
  [f151be2c] EnzymeCore v0.6.5
  [90fa49ef] ErrorfreeArithmetic v0.5.2
  [460bff9d] ExceptionUnwrapping v0.1.10
  [d4d017d3] ExponentialUtilities v1.25.0
  [e2ba6199] ExprTools v0.1.10
  [c87230d0] FFMPEG v0.4.1
  [cc61a311] FLoops v0.2.1
  [b9860ae5] FLoopsBase v0.1.1
  [7034ab61] FastBroadcast v0.2.8
  [9aa1b823] FastClosures v0.3.2
  [29a986be] FastLapackInterface v2.0.0
  [fa42c844] FastRounding v0.3.1
  [1a297f60] FillArrays v1.9.3
  [6a86dc24] FiniteDiff v2.22.0
  [53c48c17] FixedPointNumbers v0.8.4
  [59287772] Formatting v0.4.2
  [f6369f11] ForwardDiff v0.10.36
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [de31a74c] FunctionalCollections v0.5.0
  [d9f16b24] Functors v0.4.5
⌃ [46192b85] GPUArraysCore v0.1.5
⌅ [28b8d3ca] GR v0.72.10
  [c145ed77] GenericSchur v0.5.3
  [86223c79] Graphs v1.9.0
  [42e2da0e] Grisu v1.0.2
  [cd3eb016] HTTP v1.10.1
  [9fb69e20] Hiccup v0.2.2
  [3e5b6fbb] HostCPUFeatures v0.1.16
  [34004b35] HypergeometricFunctions v0.3.23
  [615f187c] IfElse v0.1.1
  [d25df0c9] Inflate v0.1.4
  [22cec73e] InitialValues v0.3.1
⌅ [d1acc4aa] IntervalArithmetic v0.20.9
  [d2bf35a9] IntervalRootFinding v0.5.11
  [3587e190] InverseFunctions v0.1.12
  [92d709cd] IrrationalConstants v0.2.2
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.7
  [692b3bcd] JLLWrappers v1.5.0
  [97c1335a] JSExpr v0.5.4
  [682c06a0] JSON v0.21.4
  [0f8b85d8] JSON3 v1.14.0
  [aa1ae85d] JuliaInterpreter v0.9.28
  [b14d175d] JuliaVariables v0.2.4
  [ccbc3e58] JumpProcesses v9.10.1
  [ef3ab10e] KLU v0.4.1
  [ba0b0d4f] Krylov v0.9.5
  [0b1a1467] KrylovKit v0.6.0
  [b964fa9f] LaTeXStrings v1.3.1
  [23fbe1c1] Latexify v0.16.1
  [10f19ff3] LayoutPointers v0.1.15
  [50d2b5c4] Lazy v0.15.1
  [2d8b4e74] LevyArea v1.0.0
  [d3d80556] LineSearches v7.2.0
⌃ [7ed4a6bd] LinearSolve v2.10.0
  [2ab3a3ac] LogExpFunctions v0.3.26
  [e6f89c97] LoggingExtras v1.0.3
  [bdcacae8] LoopVectorization v0.12.166
  [6f1432cf] LoweredCodeUtils v2.4.4
  [d8e11817] MLStyle v0.4.17
  [1914dd2f] MacroTools v0.5.13
  [d125e4d3] ManualMemory v0.1.8
  [a3b82374] MatrixFactorizations v2.1.0
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
  [c03570c3] Memoize v0.4.4
  [128add7d] MicroCollections v0.1.4
  [0b3b1443] MicroMamba v0.1.14
  [e1d29d7a] Missings v1.1.0
  [78c3b35d] Mocking v0.7.7
  [46d2c3a1] MuladdMacro v0.2.4
  [ffc61752] Mustache v1.0.19
  [a975b10e] Mux v1.0.1
  [d41bc354] NLSolversBase v7.8.3
  [2774e3e8] NLsolve v4.5.1
  [77ba4419] NaNMath v1.0.2
  [71a1bf82] NameResolution v0.1.5
⌅ [8913a72c] NonlinearSolve v1.10.1
  [510215fc] Observables v0.5.5
  [6fe1bfb0] OffsetArrays v1.13.0
  [4d8831e6] OpenSSL v1.4.1
  [429524aa] Optim v1.7.8
  [bac558e1] OrderedCollections v1.6.3
⌃ [1dea7af3] OrdinaryDiffEq v6.55.0
  [90014a1f] PDMats v0.11.31
  [65ce6f38] PackageExtensionCompat v1.0.2
  [d96e819e] Parameters v0.12.3
  [69de0a69] Parsers v2.8.1
  [fa939f87] Pidfile v1.3.0
  [b98c9c47] Pipe v1.3.0
  [14b8a8f1] PkgTemplates v0.7.48
  [ccf2f8ad] PlotThemes v3.1.0
  [995b91a9] PlotUtils v1.4.0
  [a03496cd] PlotlyBase v0.8.19
  [f0f68f2c] PlotlyJS v0.18.12
  [91a5bcdd] Plots v1.39.0
  [e409e4f3] PoissonRandom v0.4.4
  [f517fe37] Polyester v0.7.9
  [1d0040c9] PolyesterWeave v0.2.1
⌅ [f27b6e38] Polynomials v3.2.13
  [85a6dd25] PositiveFactorizations v0.2.4
  [d236fae5] PreallocationTools v0.4.17
  [aea7be01] PrecompileTools v1.2.0
  [21216c6a] Preferences v1.4.1
  [8162dcfd] PrettyPrint v0.2.0
  [92933f4c] ProgressMeter v1.9.0
  [6099a3de] PythonCall v0.9.15
  [274fc56d] PythonPlot v1.0.3
  [1fd47b50] QuadGK v2.9.4
  [74087812] Random123 v1.6.2
  [e6cf234a] RandomNumbers v1.5.3
  [3cdcf5f2] RecipesBase v1.3.4
  [01d81517] RecipesPipeline v0.6.12
⌅ [731186ca] RecursiveArrayTools v2.38.10
  [f2c3362d] RecursiveFactorization v0.2.21
  [189a3867] Reexport v1.2.2
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.0
  [ae5879a3] ResettableStacks v1.1.1
  [295af30f] Revise v3.5.13
  [79098fc4] Rmath v0.7.1
  [f2b01f46] Roots v2.1.0
  [5eaf0fd0] RoundingEmulator v0.2.1
  [7e49a35a] RuntimeGeneratedFunctions v0.5.12
  [94e857df] SIMDTypes v0.1.0
  [476501e8] SLEEFPirates v0.6.42
⌅ [0bca4576] SciMLBase v1.98.1
  [e9a6253c] SciMLNLSolve v0.1.9
  [c0aeaf25] SciMLOperators v0.3.7
  [6c6a2e73] Scratch v1.2.1
  [3cc68bcd] SetRounding v0.2.1
  [efcf1570] Setfield v1.1.1
  [992d4aef] Showoff v1.0.3
  [777ac1f9] SimpleBufferStream v1.1.0
⌅ [727e6d20] SimpleNonlinearSolve v0.1.23
  [699a6c99] SimpleTraits v0.9.4
  [ce78b400] SimpleUnPack v1.1.0
  [a2af1166] SortingAlgorithms v1.2.1
  [47a9eef4] SparseDiffTools v2.16.0
  [e56a9233] Sparspak v0.3.9
  [276daf66] SpecialFunctions v2.3.1
  [171d559e] SplittablesBase v0.1.15
  [aedffcd0] Static v0.8.8
  [0d7ed370] StaticArrayInterface v1.5.0
  [90137ffa] StaticArrays v1.9.1
  [1e83bf80] StaticArraysCore v1.4.2
  [82ae8749] StatsAPI v1.7.0
  [2913bbd2] StatsBase v0.34.2
  [4c63d2b9] StatsFuns v1.3.0
⌅ [9672c7b4] SteadyStateDiffEq v1.16.1
⌃ [789caeaf] StochasticDiffEq v6.62.0
  [7792a7ef] StrideArraysCore v0.5.2
  [856f2bd8] StructTypes v1.10.0
⌃ [c3572dad] Sundials v4.20.1
⌅ [2efcf032] SymbolicIndexingInterface v0.2.2
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.11.1
  [62fd8b95] TensorCore v0.1.1
  [8290d209] ThreadingUtilities v0.5.2
  [3bb67fe8] TranscodingStreams v0.10.2
  [28d57a85] Transducers v0.4.80
  [d5829a12] TriangularSolve v0.1.20
  [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 v1.19.0
  [45397f5d] UnitfulLatexify v1.6.3
  [e17b2a0c] UnsafePointers v1.0.0
  [41fe7b60] Unzip v0.2.0
  [3d5dd08c] VectorizationBase v0.21.65
  [81def892] VersionParsing v1.3.0
  [19fa3120] VertexSafeGraphs v0.2.0
  [0f1e0344] WebIO v0.8.21
  [104b5d7c] WebSockets v1.6.0
  [cc8bc4a8] Widgets v0.6.6
  [700de1a5] ZygoteRules v0.2.5
  [6e34b625] Bzip2_jll v1.0.8+1
  [4e9b3aee] CRlibm_jll v1.0.1+0
  [83423d85] Cairo_jll v1.16.1+1
  [cd4c43a9] Dierckx_jll v0.1.0+0
  [2702e6a9] EpollShim_jll v0.0.20230411+0
  [2e619515] Expat_jll v2.5.0+0
  [b22a6f82] FFMPEG_jll v4.4.4+1
  [a3f928ae] Fontconfig_jll v2.13.93+0
  [d7e528f0] FreeType2_jll v2.13.1+0
  [559328eb] FriBidi_jll v1.0.10+0
  [0656b61e] GLFW_jll v3.3.9+0
⌅ [d2c73de3] GR_jll v0.72.10+0
  [78b55507] Gettext_jll v0.21.0+0
  [7746bdde] Glib_jll v2.76.5+0
  [3b182d85] Graphite2_jll v1.3.14+0
  [2e76f6c2] HarfBuzz_jll v2.8.1+1
  [1d5cc7b8] IntelOpenMP_jll v2024.0.2+0
  [aacddb02] JpegTurbo_jll v3.0.1+0
  [f7e6163d] Kaleido_jll v0.2.1+0
  [c1c5ebd0] LAME_jll v3.100.1+0
  [88015f11] LERC_jll v3.0.0+1
  [1d63c593] LLVMOpenMP_jll v15.0.7+0
  [dd4b983a] LZO_jll v2.10.1+0
⌅ [e9f186c6] Libffi_jll v3.2.2+1
  [d4300ac3] Libgcrypt_jll v1.8.7+0
  [7e76a0d4] Libglvnd_jll v1.6.0+0
  [7add5ba3] Libgpg_error_jll v1.42.0+0
  [94ce4f54] Libiconv_jll v1.17.0+0
  [4b2f31a3] Libmount_jll v2.35.0+0
⌅ [89763e89] Libtiff_jll v4.5.1+1
  [38a345b3] Libuuid_jll v2.36.0+0
  [856f044c] MKL_jll v2024.0.0+0
  [e7412a2a] Ogg_jll v1.3.5+1
  [458c3c95] OpenSSL_jll v3.0.12+0
  [efe28fd5] OpenSpecFun_jll v0.5.5+0
  [91d4177d] Opus_jll v1.3.2+0
  [30392449] Pixman_jll v0.42.2+0
  [c0090381] Qt6Base_jll v6.5.3+1
  [f50d1b31] Rmath_jll v0.4.0+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 v2.12.2+0
  [aed1982a] XSLT_jll v1.1.34+0
  [ffd25f8a] XZ_jll v5.4.5+0
  [f67eecfb] Xorg_libICE_jll v1.0.10+1
  [c834827a] Xorg_libSM_jll v1.2.3+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 v1.3.4+4
  [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 v0.9.10+4
  [14d82f49] Xorg_libpthread_stubs_jll v0.1.1+0
  [c7cfdc94] Xorg_libxcb_jll v1.15.0+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
  [3161d3a3] Zstd_jll v1.5.5+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 v3.4.0+0
  [0ac62f75] libass_jll v0.15.1+0
  [2db6ffa8] libevdev_jll v1.11.0+0
  [f638f0a6] libfdk_aac_jll v2.0.2+0
  [36db933b] libinput_jll v1.18.0+0
  [b53b4c65] libpng_jll v1.6.40+0
  [f27f6e37] libvorbis_jll v1.3.7+1
  [f8abcde7] micromamba_jll v1.4.9+0
  [009596ad] mtdev_jll v1.1.6+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
  [9abbd945] Profile
  [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
Pkg.status() on v6.56.0 
julia> Pkg.status()
Status `~/.julia/environments/v1.10/Project.toml`
  [233ec0c9] AMRVW v1.2.1
  [13e28ba4] AppleAccelerate v0.4.0
  [6e4b80f9] BenchmarkTools v1.4.0
  [ffab5731] BlockBandedMatrices v0.12.9
  [861a8166] Combinatorics v1.0.2
  [39dd38d3] Dierckx v0.5.3
⌃ [0c46a032] DifferentialEquations v7.10.0
  [b305315f] Elliptic v1.0.1
  [cc61a311] FLoops v0.2.1
⌅ [d1acc4aa] IntervalArithmetic v0.20.9
  [d2bf35a9] IntervalRootFinding v0.5.11
  [0b1a1467] KrylovKit v0.6.0
  [b964fa9f] LaTeXStrings v1.3.1
  [23fbe1c1] Latexify v0.16.1
  [442fdcdd] Measures v0.3.2
  [c03570c3] Memoize v0.4.4
  [429524aa] Optim v1.7.8
⌃ [1dea7af3] OrdinaryDiffEq v6.56.0
  [14b8a8f1] PkgTemplates v0.7.48
  [f0f68f2c] PlotlyJS v0.18.12
  [91a5bcdd] Plots v1.39.0
⌅ [f27b6e38] Polynomials v3.2.13
  [92933f4c] ProgressMeter v1.9.0
  [274fc56d] PythonPlot v1.0.3
  [1fd47b50] QuadGK v2.9.4
  [295af30f] Revise v3.5.13
  [f2b01f46] Roots v2.1.0
⌅ [0bca4576] SciMLBase v1.98.1
  [276daf66] SpecialFunctions v2.3.1
  [90137ffa] StaticArrays v1.9.1



julia> Pkg.status(; mode = PKGMODE_MANIFEST)
Status `~/.julia/environments/v1.10/Manifest.toml`
  [47edcb42] ADTypes v0.2.6
  [233ec0c9] AMRVW v1.2.1
  [7d9f7c33] Accessors v0.1.35
⌅ [79e6a3ab] Adapt v3.7.2
  [13e28ba4] AppleAccelerate v0.4.0
  [dce04be8] ArgCheck v2.3.0
  [ec485272] ArnoldiMethod v0.2.0
  [4fba245c] ArrayInterface v7.7.0
  [4c555306] ArrayLayouts v1.5.2
  [bf4720bc] AssetRegistry v0.1.0
⌅ [aae01518] BandedMatrices v0.17.38
  [198e06fe] BangBang v0.3.39
  [9718e550] Baselet v0.1.1
  [6e4b80f9] BenchmarkTools v1.4.0
  [d1d4a3ce] BitFlags v0.1.8
  [62783981] BitTwiddlingConvenienceFunctions v0.1.5
  [ad839575] Blink v0.12.9
  [8e7c35d0] BlockArrays v0.16.39
  [ffab5731] BlockBandedMatrices v0.12.9
⌅ [764a87c0] BoundaryValueDiffEq v4.0.1
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.4
  [96374032] CRlibm v1.0.1
  [49dc2e85] Calculus v0.5.1
  [d360d2e6] ChainRulesCore v1.19.1
  [fb6a15b2] CloseOpenIntervals v0.1.12
  [da1fd8a2] CodeTracking v1.3.5
  [944b1d66] CodecZlib v0.7.3
  [35d6a980] ColorSchemes v3.24.0
  [3da002f7] ColorTypes v0.11.4
  [c3611d14] ColorVectorSpace v0.10.0
  [5ae59095] Colors v0.12.10
  [861a8166] Combinatorics v1.0.2
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.0
  [34da2185] Compat v4.12.0
  [a33af91c] CompositionsBase v0.1.2
  [2569d6c7] ConcreteStructs v0.2.3
  [f0e56b4a] ConcurrentUtilities v2.3.0
  [992eb4ea] CondaPkg v0.2.22
  [187b0558] ConstructionBase v1.5.4
  [6add18c4] ContextVariablesX v0.1.3
  [d38c429a] Contour v0.6.2
  [adafc99b] CpuId v0.3.1
  [9a962f9c] DataAPI v1.15.0
  [864edb3b] DataStructures v0.18.16
  [e2d170a0] DataValueInterfaces v1.0.0
  [244e2a9f] DefineSingletons v0.1.2
⌃ [bcd4f6db] DelayDiffEq v5.44.0
  [8bb1440f] DelimitedFiles v1.9.1
  [39dd38d3] Dierckx v0.5.3
⌃ [2b5f629d] DiffEqBase v6.130.0
⌃ [459566f4] DiffEqCallbacks v2.35.0
  [77a26b50] DiffEqNoiseProcess v5.20.0
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
⌃ [0c46a032] DifferentialEquations v7.10.0
  [b4f34e82] Distances v0.10.11
  [31c24e10] Distributions v0.25.107
  [ffbed154] DocStringExtensions v0.9.3
  [fa6b7ba4] DualNumbers v0.6.8
  [b305315f] Elliptic v1.0.1
  [4e289a0a] EnumX v1.0.4
  [f151be2c] EnzymeCore v0.6.5
  [90fa49ef] ErrorfreeArithmetic v0.5.2
  [460bff9d] ExceptionUnwrapping v0.1.10
  [d4d017d3] ExponentialUtilities v1.25.0
  [e2ba6199] ExprTools v0.1.10
  [c87230d0] FFMPEG v0.4.1
  [cc61a311] FLoops v0.2.1
  [b9860ae5] FLoopsBase v0.1.1
  [7034ab61] FastBroadcast v0.2.8
  [9aa1b823] FastClosures v0.3.2
  [29a986be] FastLapackInterface v2.0.0
  [fa42c844] FastRounding v0.3.1
  [1a297f60] FillArrays v1.9.3
  [6a86dc24] FiniteDiff v2.22.0
  [53c48c17] FixedPointNumbers v0.8.4
  [59287772] Formatting v0.4.2
  [f6369f11] ForwardDiff v0.10.36
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [de31a74c] FunctionalCollections v0.5.0
  [d9f16b24] Functors v0.4.5
⌃ [46192b85] GPUArraysCore v0.1.5
⌅ [28b8d3ca] GR v0.72.10
  [c145ed77] GenericSchur v0.5.3
  [86223c79] Graphs v1.9.0
  [42e2da0e] Grisu v1.0.2
  [cd3eb016] HTTP v1.10.1
  [9fb69e20] Hiccup v0.2.2
  [3e5b6fbb] HostCPUFeatures v0.1.16
  [34004b35] HypergeometricFunctions v0.3.23
  [615f187c] IfElse v0.1.1
  [d25df0c9] Inflate v0.1.4
  [22cec73e] InitialValues v0.3.1
⌅ [d1acc4aa] IntervalArithmetic v0.20.9
  [d2bf35a9] IntervalRootFinding v0.5.11
  [3587e190] InverseFunctions v0.1.12
  [92d709cd] IrrationalConstants v0.2.2
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.7
  [692b3bcd] JLLWrappers v1.5.0
  [97c1335a] JSExpr v0.5.4
  [682c06a0] JSON v0.21.4
  [0f8b85d8] JSON3 v1.14.0
  [aa1ae85d] JuliaInterpreter v0.9.28
  [b14d175d] JuliaVariables v0.2.4
  [ccbc3e58] JumpProcesses v9.10.1
  [ef3ab10e] KLU v0.4.1
  [ba0b0d4f] Krylov v0.9.5
  [0b1a1467] KrylovKit v0.6.0
  [b964fa9f] LaTeXStrings v1.3.1
  [23fbe1c1] Latexify v0.16.1
  [10f19ff3] LayoutPointers v0.1.15
  [50d2b5c4] Lazy v0.15.1
  [2d8b4e74] LevyArea v1.0.0
  [d3d80556] LineSearches v7.2.0
⌃ [7ed4a6bd] LinearSolve v2.10.0
  [2ab3a3ac] LogExpFunctions v0.3.26
  [e6f89c97] LoggingExtras v1.0.3
  [bdcacae8] LoopVectorization v0.12.166
  [6f1432cf] LoweredCodeUtils v2.4.4
  [d8e11817] MLStyle v0.4.17
  [1914dd2f] MacroTools v0.5.13
  [d125e4d3] ManualMemory v0.1.8
  [a3b82374] MatrixFactorizations v2.1.0
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
  [c03570c3] Memoize v0.4.4
  [128add7d] MicroCollections v0.1.4
  [0b3b1443] MicroMamba v0.1.14
  [e1d29d7a] Missings v1.1.0
  [78c3b35d] Mocking v0.7.7
  [46d2c3a1] MuladdMacro v0.2.4
  [ffc61752] Mustache v1.0.19
  [a975b10e] Mux v1.0.1
  [d41bc354] NLSolversBase v7.8.3
  [2774e3e8] NLsolve v4.5.1
  [77ba4419] NaNMath v1.0.2
  [71a1bf82] NameResolution v0.1.5
⌅ [8913a72c] NonlinearSolve v1.10.1
  [510215fc] Observables v0.5.5
  [6fe1bfb0] OffsetArrays v1.13.0
  [4d8831e6] OpenSSL v1.4.1
  [429524aa] Optim v1.7.8
  [bac558e1] OrderedCollections v1.6.3
⌃ [1dea7af3] OrdinaryDiffEq v6.56.0
  [90014a1f] PDMats v0.11.31
  [65ce6f38] PackageExtensionCompat v1.0.2
  [d96e819e] Parameters v0.12.3
  [69de0a69] Parsers v2.8.1
  [fa939f87] Pidfile v1.3.0
  [b98c9c47] Pipe v1.3.0
  [14b8a8f1] PkgTemplates v0.7.48
  [ccf2f8ad] PlotThemes v3.1.0
  [995b91a9] PlotUtils v1.4.0
  [a03496cd] PlotlyBase v0.8.19
  [f0f68f2c] PlotlyJS v0.18.12
  [91a5bcdd] Plots v1.39.0
  [e409e4f3] PoissonRandom v0.4.4
  [f517fe37] Polyester v0.7.9
  [1d0040c9] PolyesterWeave v0.2.1
⌅ [f27b6e38] Polynomials v3.2.13
  [85a6dd25] PositiveFactorizations v0.2.4
  [d236fae5] PreallocationTools v0.4.17
  [aea7be01] PrecompileTools v1.2.0
  [21216c6a] Preferences v1.4.1
  [8162dcfd] PrettyPrint v0.2.0
  [92933f4c] ProgressMeter v1.9.0
  [6099a3de] PythonCall v0.9.15
  [274fc56d] PythonPlot v1.0.3
  [1fd47b50] QuadGK v2.9.4
  [74087812] Random123 v1.6.2
  [e6cf234a] RandomNumbers v1.5.3
  [3cdcf5f2] RecipesBase v1.3.4
  [01d81517] RecipesPipeline v0.6.12
⌅ [731186ca] RecursiveArrayTools v2.38.10
  [f2c3362d] RecursiveFactorization v0.2.21
  [189a3867] Reexport v1.2.2
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.0
  [ae5879a3] ResettableStacks v1.1.1
  [295af30f] Revise v3.5.13
  [79098fc4] Rmath v0.7.1
  [f2b01f46] Roots v2.1.0
  [5eaf0fd0] RoundingEmulator v0.2.1
  [7e49a35a] RuntimeGeneratedFunctions v0.5.12
  [94e857df] SIMDTypes v0.1.0
  [476501e8] SLEEFPirates v0.6.42
⌅ [0bca4576] SciMLBase v1.98.1
  [e9a6253c] SciMLNLSolve v0.1.9
  [c0aeaf25] SciMLOperators v0.3.7
  [6c6a2e73] Scratch v1.2.1
  [3cc68bcd] SetRounding v0.2.1
  [efcf1570] Setfield v1.1.1
  [992d4aef] Showoff v1.0.3
  [777ac1f9] SimpleBufferStream v1.1.0
⌅ [727e6d20] SimpleNonlinearSolve v0.1.23
  [699a6c99] SimpleTraits v0.9.4
  [ce78b400] SimpleUnPack v1.1.0
  [a2af1166] SortingAlgorithms v1.2.1
  [47a9eef4] SparseDiffTools v2.16.0
  [e56a9233] Sparspak v0.3.9
  [276daf66] SpecialFunctions v2.3.1
  [171d559e] SplittablesBase v0.1.15
  [aedffcd0] Static v0.8.8
  [0d7ed370] StaticArrayInterface v1.5.0
  [90137ffa] StaticArrays v1.9.1
  [1e83bf80] StaticArraysCore v1.4.2
  [82ae8749] StatsAPI v1.7.0
  [2913bbd2] StatsBase v0.34.2
  [4c63d2b9] StatsFuns v1.3.0
⌅ [9672c7b4] SteadyStateDiffEq v1.16.1
⌃ [789caeaf] StochasticDiffEq v6.62.0
  [7792a7ef] StrideArraysCore v0.5.2
  [856f2bd8] StructTypes v1.10.0
⌃ [c3572dad] Sundials v4.20.1
⌅ [2efcf032] SymbolicIndexingInterface v0.2.2
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.11.1
  [62fd8b95] TensorCore v0.1.1
  [8290d209] ThreadingUtilities v0.5.2
  [3bb67fe8] TranscodingStreams v0.10.2
  [28d57a85] Transducers v0.4.80
  [d5829a12] TriangularSolve v0.1.20
  [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 v1.19.0
  [45397f5d] UnitfulLatexify v1.6.3
  [e17b2a0c] UnsafePointers v1.0.0
  [41fe7b60] Unzip v0.2.0
  [3d5dd08c] VectorizationBase v0.21.65
  [81def892] VersionParsing v1.3.0
  [19fa3120] VertexSafeGraphs v0.2.0
  [0f1e0344] WebIO v0.8.21
  [104b5d7c] WebSockets v1.6.0
  [cc8bc4a8] Widgets v0.6.6
  [700de1a5] ZygoteRules v0.2.5
  [6e34b625] Bzip2_jll v1.0.8+1
  [4e9b3aee] CRlibm_jll v1.0.1+0
  [83423d85] Cairo_jll v1.16.1+1
  [cd4c43a9] Dierckx_jll v0.1.0+0
  [2702e6a9] EpollShim_jll v0.0.20230411+0
  [2e619515] Expat_jll v2.5.0+0
  [b22a6f82] FFMPEG_jll v4.4.4+1
  [a3f928ae] Fontconfig_jll v2.13.93+0
  [d7e528f0] FreeType2_jll v2.13.1+0
  [559328eb] FriBidi_jll v1.0.10+0
  [0656b61e] GLFW_jll v3.3.9+0
⌅ [d2c73de3] GR_jll v0.72.10+0
  [78b55507] Gettext_jll v0.21.0+0
  [7746bdde] Glib_jll v2.76.5+0
  [3b182d85] Graphite2_jll v1.3.14+0
  [2e76f6c2] HarfBuzz_jll v2.8.1+1
  [1d5cc7b8] IntelOpenMP_jll v2024.0.2+0
  [aacddb02] JpegTurbo_jll v3.0.1+0
  [f7e6163d] Kaleido_jll v0.2.1+0
  [c1c5ebd0] LAME_jll v3.100.1+0
  [88015f11] LERC_jll v3.0.0+1
  [1d63c593] LLVMOpenMP_jll v15.0.7+0
  [dd4b983a] LZO_jll v2.10.1+0
⌅ [e9f186c6] Libffi_jll v3.2.2+1
  [d4300ac3] Libgcrypt_jll v1.8.7+0
  [7e76a0d4] Libglvnd_jll v1.6.0+0
  [7add5ba3] Libgpg_error_jll v1.42.0+0
  [94ce4f54] Libiconv_jll v1.17.0+0
  [4b2f31a3] Libmount_jll v2.35.0+0
⌅ [89763e89] Libtiff_jll v4.5.1+1
  [38a345b3] Libuuid_jll v2.36.0+0
  [856f044c] MKL_jll v2024.0.0+0
  [e7412a2a] Ogg_jll v1.3.5+1
  [458c3c95] OpenSSL_jll v3.0.12+0
  [efe28fd5] OpenSpecFun_jll v0.5.5+0
  [91d4177d] Opus_jll v1.3.2+0
  [30392449] Pixman_jll v0.42.2+0
  [c0090381] Qt6Base_jll v6.5.3+1
  [f50d1b31] Rmath_jll v0.4.0+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 v2.12.2+0
  [aed1982a] XSLT_jll v1.1.34+0
  [ffd25f8a] XZ_jll v5.4.5+0
  [f67eecfb] Xorg_libICE_jll v1.0.10+1
  [c834827a] Xorg_libSM_jll v1.2.3+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 v1.3.4+4
  [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 v0.9.10+4
  [14d82f49] Xorg_libpthread_stubs_jll v0.1.1+0
  [c7cfdc94] Xorg_libxcb_jll v1.15.0+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
  [3161d3a3] Zstd_jll v1.5.5+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 v3.4.0+0
  [0ac62f75] libass_jll v0.15.1+0
  [2db6ffa8] libevdev_jll v1.11.0+0
  [f638f0a6] libfdk_aac_jll v2.0.2+0
  [36db933b] libinput_jll v1.18.0+0
  [b53b4c65] libpng_jll v1.6.40+0
  [f27f6e37] libvorbis_jll v1.3.7+1
  [f8abcde7] micromamba_jll v1.4.9+0
  [009596ad] mtdev_jll v1.1.6+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
  [9abbd945] Profile
  [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
Pkg.status() on v6.69.0 
julia> Pkg.status()
Status `~/.julia/environments/v1.10/Project.toml`
  [233ec0c9] AMRVW v1.2.1
  [13e28ba4] AppleAccelerate v0.4.0
  [6e4b80f9] BenchmarkTools v1.4.0
  [ffab5731] BlockBandedMatrices v0.12.9
  [861a8166] Combinatorics v1.0.2
  [39dd38d3] Dierckx v0.5.3
  [0c46a032] DifferentialEquations v7.12.0
  [b305315f] Elliptic v1.0.1
  [cc61a311] FLoops v0.2.1
⌅ [d1acc4aa] IntervalArithmetic v0.20.9
  [d2bf35a9] IntervalRootFinding v0.5.11
  [0b1a1467] KrylovKit v0.6.0
  [b964fa9f] LaTeXStrings v1.3.1
  [23fbe1c1] Latexify v0.16.1
  [442fdcdd] Measures v0.3.2
  [c03570c3] Memoize v0.4.4
  [429524aa] Optim v1.7.8
  [1dea7af3] OrdinaryDiffEq v6.69.0
  [14b8a8f1] PkgTemplates v0.7.48
  [f0f68f2c] PlotlyJS v0.18.12
  [91a5bcdd] Plots v1.39.0
⌅ [f27b6e38] Polynomials v3.2.13
  [92933f4c] ProgressMeter v1.9.0
  [274fc56d] PythonPlot v1.0.3
  [1fd47b50] QuadGK v2.9.4
  [295af30f] Revise v3.5.13
  [f2b01f46] Roots v2.1.0
  [0bca4576] SciMLBase v2.20.0
  [276daf66] SpecialFunctions v2.3.1
  [90137ffa] StaticArrays v1.9.1



julia> Pkg.status(; mode = PKGMODE_MANIFEST)
Status `~/.julia/environments/v1.10/Manifest.toml`
  [47edcb42] ADTypes v0.2.6
  [233ec0c9] AMRVW v1.2.1
  [7d9f7c33] Accessors v0.1.35
⌅ [79e6a3ab] Adapt v3.7.2
  [13e28ba4] AppleAccelerate v0.4.0
  [dce04be8] ArgCheck v2.3.0
  [ec485272] ArnoldiMethod v0.2.0
  [4fba245c] ArrayInterface v7.7.0
  [4c555306] ArrayLayouts v1.5.2
  [bf4720bc] AssetRegistry v0.1.0
  [aae01518] BandedMatrices v1.4.0
  [198e06fe] BangBang v0.3.39
  [9718e550] Baselet v0.1.1
  [6e4b80f9] BenchmarkTools v1.4.0
  [d1d4a3ce] BitFlags v0.1.8
  [62783981] BitTwiddlingConvenienceFunctions v0.1.5
  [ad839575] Blink v0.12.9
  [8e7c35d0] BlockArrays v0.16.39
  [ffab5731] BlockBandedMatrices v0.12.9
⌃ [764a87c0] BoundaryValueDiffEq v5.6.0
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.4
  [96374032] CRlibm v1.0.1
  [49dc2e85] Calculus v0.5.1
  [d360d2e6] ChainRulesCore v1.19.1
  [fb6a15b2] CloseOpenIntervals v0.1.12
  [da1fd8a2] CodeTracking v1.3.5
  [944b1d66] CodecZlib v0.7.3
  [35d6a980] ColorSchemes v3.24.0
  [3da002f7] ColorTypes v0.11.4
  [c3611d14] ColorVectorSpace v0.10.0
  [5ae59095] Colors v0.12.10
  [861a8166] Combinatorics v1.0.2
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.0
  [34da2185] Compat v4.12.0
  [a33af91c] CompositionsBase v0.1.2
  [2569d6c7] ConcreteStructs v0.2.3
  [f0e56b4a] ConcurrentUtilities v2.3.0
  [992eb4ea] CondaPkg v0.2.22
  [187b0558] ConstructionBase v1.5.4
  [6add18c4] ContextVariablesX v0.1.3
  [d38c429a] Contour v0.6.2
  [adafc99b] CpuId v0.3.1
  [9a962f9c] DataAPI v1.15.0
  [864edb3b] DataStructures v0.18.16
  [e2d170a0] DataValueInterfaces v1.0.0
  [244e2a9f] DefineSingletons v0.1.2
  [bcd4f6db] DelayDiffEq v5.46.0
  [8bb1440f] DelimitedFiles v1.9.1
  [39dd38d3] Dierckx v0.5.3
  [2b5f629d] DiffEqBase v6.146.0
  [459566f4] DiffEqCallbacks v2.36.1
  [77a26b50] DiffEqNoiseProcess v5.20.0
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [0c46a032] DifferentialEquations v7.12.0
  [b4f34e82] Distances v0.10.11
  [31c24e10] Distributions v0.25.107
  [ffbed154] DocStringExtensions v0.9.3
  [fa6b7ba4] DualNumbers v0.6.8
  [b305315f] Elliptic v1.0.1
  [4e289a0a] EnumX v1.0.4
  [f151be2c] EnzymeCore v0.6.5
  [90fa49ef] ErrorfreeArithmetic v0.5.2
  [460bff9d] ExceptionUnwrapping v0.1.10
  [d4d017d3] ExponentialUtilities v1.25.0
  [e2ba6199] ExprTools v0.1.10
  [c87230d0] FFMPEG v0.4.1
  [cc61a311] FLoops v0.2.1
  [b9860ae5] FLoopsBase v0.1.1
  [9d29842c] FastAlmostBandedMatrices v0.1.0
  [7034ab61] FastBroadcast v0.2.8
  [9aa1b823] FastClosures v0.3.2
  [29a986be] FastLapackInterface v2.0.0
  [fa42c844] FastRounding v0.3.1
  [1a297f60] FillArrays v1.9.3
  [6a86dc24] FiniteDiff v2.22.0
  [53c48c17] FixedPointNumbers v0.8.4
  [59287772] Formatting v0.4.2
  [f6369f11] ForwardDiff v0.10.36
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [de31a74c] FunctionalCollections v0.5.0
  [d9f16b24] Functors v0.4.5
⌃ [46192b85] GPUArraysCore v0.1.5
⌅ [28b8d3ca] GR v0.72.10
  [c145ed77] GenericSchur v0.5.3
  [86223c79] Graphs v1.9.0
  [42e2da0e] Grisu v1.0.2
  [cd3eb016] HTTP v1.10.1
  [9fb69e20] Hiccup v0.2.2
  [3e5b6fbb] HostCPUFeatures v0.1.16
  [34004b35] HypergeometricFunctions v0.3.23
  [615f187c] IfElse v0.1.1
  [d25df0c9] Inflate v0.1.4
  [22cec73e] InitialValues v0.3.1
⌅ [d1acc4aa] IntervalArithmetic v0.20.9
  [d2bf35a9] IntervalRootFinding v0.5.11
  [3587e190] InverseFunctions v0.1.12
  [92d709cd] IrrationalConstants v0.2.2
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.7
  [692b3bcd] JLLWrappers v1.5.0
  [97c1335a] JSExpr v0.5.4
  [682c06a0] JSON v0.21.4
  [0f8b85d8] JSON3 v1.14.0
  [aa1ae85d] JuliaInterpreter v0.9.28
  [b14d175d] JuliaVariables v0.2.4
  [ccbc3e58] JumpProcesses v9.10.1
  [ef3ab10e] KLU v0.4.1
  [ba0b0d4f] Krylov v0.9.5
  [0b1a1467] KrylovKit v0.6.0
  [b964fa9f] LaTeXStrings v1.3.1
  [23fbe1c1] Latexify v0.16.1
  [10f19ff3] LayoutPointers v0.1.15
  [50d2b5c4] Lazy v0.15.1
  [5078a376] LazyArrays v1.8.3
  [2d8b4e74] LevyArea v1.0.0
  [d3d80556] LineSearches v7.2.0
  [7ed4a6bd] LinearSolve v2.22.1
  [2ab3a3ac] LogExpFunctions v0.3.26
  [e6f89c97] LoggingExtras v1.0.3
  [bdcacae8] LoopVectorization v0.12.166
  [6f1432cf] LoweredCodeUtils v2.4.4
  [d8e11817] MLStyle v0.4.17
  [1914dd2f] MacroTools v0.5.13
  [d125e4d3] ManualMemory v0.1.8
  [a3b82374] MatrixFactorizations v2.1.0
  [bb5d69b7] MaybeInplace v0.1.1
  [739be429] MbedTLS v1.1.9
  [442fdcdd] Measures v0.3.2
  [c03570c3] Memoize v0.4.4
  [128add7d] MicroCollections v0.1.4
  [0b3b1443] MicroMamba v0.1.14
  [e1d29d7a] Missings v1.1.0
  [78c3b35d] Mocking v0.7.7
  [46d2c3a1] MuladdMacro v0.2.4
  [ffc61752] Mustache v1.0.19
  [a975b10e] Mux v1.0.1
  [d41bc354] NLSolversBase v7.8.3
  [2774e3e8] NLsolve v4.5.1
  [77ba4419] NaNMath v1.0.2
  [71a1bf82] NameResolution v0.1.5
  [8913a72c] NonlinearSolve v3.4.0
  [510215fc] Observables v0.5.5
  [6fe1bfb0] OffsetArrays v1.13.0
  [4d8831e6] OpenSSL v1.4.1
  [429524aa] Optim v1.7.8
  [bac558e1] OrderedCollections v1.6.3
  [1dea7af3] OrdinaryDiffEq v6.69.0
  [90014a1f] PDMats v0.11.31
  [65ce6f38] PackageExtensionCompat v1.0.2
  [d96e819e] Parameters v0.12.3
  [69de0a69] Parsers v2.8.1
  [fa939f87] Pidfile v1.3.0
  [b98c9c47] Pipe v1.3.0
  [14b8a8f1] PkgTemplates v0.7.48
  [ccf2f8ad] PlotThemes v3.1.0
  [995b91a9] PlotUtils v1.4.0
  [a03496cd] PlotlyBase v0.8.19
  [f0f68f2c] PlotlyJS v0.18.12
  [91a5bcdd] Plots v1.39.0
  [e409e4f3] PoissonRandom v0.4.4
  [f517fe37] Polyester v0.7.9
  [1d0040c9] PolyesterWeave v0.2.1
⌅ [f27b6e38] Polynomials v3.2.13
  [85a6dd25] PositiveFactorizations v0.2.4
  [d236fae5] PreallocationTools v0.4.17
  [aea7be01] PrecompileTools v1.2.0
  [21216c6a] Preferences v1.4.1
  [8162dcfd] PrettyPrint v0.2.0
  [92933f4c] ProgressMeter v1.9.0
  [6099a3de] PythonCall v0.9.15
  [274fc56d] PythonPlot v1.0.3
  [1fd47b50] QuadGK v2.9.4
  [74087812] Random123 v1.6.2
  [e6cf234a] RandomNumbers v1.5.3
  [3cdcf5f2] RecipesBase v1.3.4
  [01d81517] RecipesPipeline v0.6.12
  [731186ca] RecursiveArrayTools v3.5.4
  [f2c3362d] RecursiveFactorization v0.2.21
  [189a3867] Reexport v1.2.2
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.0
  [ae5879a3] ResettableStacks v1.1.1
  [295af30f] Revise v3.5.13
  [79098fc4] Rmath v0.7.1
  [f2b01f46] Roots v2.1.0
  [5eaf0fd0] RoundingEmulator v0.2.1
  [7e49a35a] RuntimeGeneratedFunctions v0.5.12
  [94e857df] SIMDTypes v0.1.0
  [476501e8] SLEEFPirates v0.6.42
  [0bca4576] SciMLBase v2.20.0
  [c0aeaf25] SciMLOperators v0.3.7
  [6c6a2e73] Scratch v1.2.1
  [3cc68bcd] SetRounding v0.2.1
  [efcf1570] Setfield v1.1.1
  [992d4aef] Showoff v1.0.3
  [777ac1f9] SimpleBufferStream v1.1.0
  [727e6d20] SimpleNonlinearSolve v1.3.1
  [699a6c99] SimpleTraits v0.9.4
  [ce78b400] SimpleUnPack v1.1.0
  [a2af1166] SortingAlgorithms v1.2.1
  [47a9eef4] SparseDiffTools v2.16.0
  [e56a9233] Sparspak v0.3.9
  [276daf66] SpecialFunctions v2.3.1
  [171d559e] SplittablesBase v0.1.15
  [aedffcd0] Static v0.8.8
  [0d7ed370] StaticArrayInterface v1.5.0
  [90137ffa] StaticArrays v1.9.1
  [1e83bf80] StaticArraysCore v1.4.2
  [82ae8749] StatsAPI v1.7.0
  [2913bbd2] StatsBase v0.34.2
  [4c63d2b9] StatsFuns v1.3.0
  [9672c7b4] SteadyStateDiffEq v2.0.1
  [789caeaf] StochasticDiffEq v6.64.0
  [7792a7ef] StrideArraysCore v0.5.2
  [856f2bd8] StructTypes v1.10.0
  [c3572dad] Sundials v4.23.1
  [2efcf032] SymbolicIndexingInterface v0.3.3
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.11.1
  [62fd8b95] TensorCore v0.1.1
  [8290d209] ThreadingUtilities v0.5.2
  [3bb67fe8] TranscodingStreams v0.10.2
  [28d57a85] Transducers v0.4.80
  [d5829a12] TriangularSolve v0.1.20
  [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 v1.19.0
  [45397f5d] UnitfulLatexify v1.6.3
  [e17b2a0c] UnsafePointers v1.0.0
  [41fe7b60] Unzip v0.2.0
  [3d5dd08c] VectorizationBase v0.21.65
  [81def892] VersionParsing v1.3.0
  [19fa3120] VertexSafeGraphs v0.2.0
  [0f1e0344] WebIO v0.8.21
  [104b5d7c] WebSockets v1.6.0
  [cc8bc4a8] Widgets v0.6.6
  [6e34b625] Bzip2_jll v1.0.8+1
  [4e9b3aee] CRlibm_jll v1.0.1+0
  [83423d85] Cairo_jll v1.16.1+1
  [cd4c43a9] Dierckx_jll v0.1.0+0
  [2702e6a9] EpollShim_jll v0.0.20230411+0
  [2e619515] Expat_jll v2.5.0+0
  [b22a6f82] FFMPEG_jll v4.4.4+1
  [a3f928ae] Fontconfig_jll v2.13.93+0
  [d7e528f0] FreeType2_jll v2.13.1+0
  [559328eb] FriBidi_jll v1.0.10+0
  [0656b61e] GLFW_jll v3.3.9+0
⌅ [d2c73de3] GR_jll v0.72.10+0
  [78b55507] Gettext_jll v0.21.0+0
  [7746bdde] Glib_jll v2.76.5+0
  [3b182d85] Graphite2_jll v1.3.14+0
  [2e76f6c2] HarfBuzz_jll v2.8.1+1
  [1d5cc7b8] IntelOpenMP_jll v2024.0.2+0
  [aacddb02] JpegTurbo_jll v3.0.1+0
  [f7e6163d] Kaleido_jll v0.2.1+0
  [c1c5ebd0] LAME_jll v3.100.1+0
  [88015f11] LERC_jll v3.0.0+1
  [1d63c593] LLVMOpenMP_jll v15.0.7+0
  [dd4b983a] LZO_jll v2.10.1+0
⌅ [e9f186c6] Libffi_jll v3.2.2+1
  [d4300ac3] Libgcrypt_jll v1.8.7+0
  [7e76a0d4] Libglvnd_jll v1.6.0+0
  [7add5ba3] Libgpg_error_jll v1.42.0+0
  [94ce4f54] Libiconv_jll v1.17.0+0
  [4b2f31a3] Libmount_jll v2.35.0+0
⌅ [89763e89] Libtiff_jll v4.5.1+1
  [38a345b3] Libuuid_jll v2.36.0+0
  [856f044c] MKL_jll v2024.0.0+0
  [e7412a2a] Ogg_jll v1.3.5+1
  [458c3c95] OpenSSL_jll v3.0.12+0
  [efe28fd5] OpenSpecFun_jll v0.5.5+0
  [91d4177d] Opus_jll v1.3.2+0
  [30392449] Pixman_jll v0.42.2+0
  [c0090381] Qt6Base_jll v6.5.3+1
  [f50d1b31] Rmath_jll v0.4.0+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 v2.12.2+0
  [aed1982a] XSLT_jll v1.1.34+0
  [ffd25f8a] XZ_jll v5.4.5+0
  [f67eecfb] Xorg_libICE_jll v1.0.10+1
  [c834827a] Xorg_libSM_jll v1.2.3+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 v1.3.4+4
  [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 v0.9.10+4
  [14d82f49] Xorg_libpthread_stubs_jll v0.1.1+0
  [c7cfdc94] Xorg_libxcb_jll v1.15.0+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
  [3161d3a3] Zstd_jll v1.5.5+0
  [35ca27e7] eudev_jll v3.2.9+0
  [214eeab7] fzf_jll v0.43.0+0
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  [a4ae2306] libaom_jll v3.4.0+0
  [0ac62f75] libass_jll v0.15.1+0
  [2db6ffa8] libevdev_jll v1.11.0+0
  [f638f0a6] libfdk_aac_jll v2.0.2+0
  [36db933b] libinput_jll v1.18.0+0
  [b53b4c65] libpng_jll v1.6.40+0
  [f27f6e37] libvorbis_jll v1.3.7+1
  [f8abcde7] micromamba_jll v1.4.9+0
  [009596ad] mtdev_jll v1.1.6+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
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  [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
  [9abbd945] Profile
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  [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
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versioninfo() 
Julia Version 1.10.0
Commit 3120989f39b (2023-12-25 18:01 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: macOS (arm64-apple-darwin22.4.0)
  CPU: 12 × Apple M2 Pro
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, apple-m1)
  Threads: 11 on 8 virtual cores
Environment:
  JULIA_EDITOR = code

The above results were obtained specifically for MagnusGauss4(), but several brief tests indicate that the problem shows up for other solvers as well.

I am attaching the profile traces.
@Sohail-Makhani
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Sohail-Makhani commented May 7, 2024 •
edited

Profile Trace for dense case

flamegraph dense

Profile Trace for sparse case

flamegraph sparse

versioninfo()

Julia Version 1.10.3
Commit 0b4590a550 (2024-04-30 10:59 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: 4 × Intel(R) Core(TM) i5-4300U CPU @ 1.90GHz
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, haswell)
Threads: 1 default, 0 interactive, 1 GC (on 4 virtual cores)
Environment:
  JULIA_EDITOR = code
  JULIA_NUM_THREADS =

Package Status

Status `D:\Julia Workspace\demo\Project.toml`
  [6e4b80f9] BenchmarkTools v1.5.0
  [0c46a032] DifferentialEquations v7.13.0
  [efd6af41] ProfileCanvas v0.1.6
  [a8a75453] StatProfilerHTML v1.6.0
  [37e2e46d] LinearAlgebra
  [2f01184e] SparseArrays v1.10.0

@ChrisRackauckas
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https://github.com/SciML/ExponentialUtilities.jl/blob/c9fc842f00a090feb79dcc460b426d9fdb11359a/src/exp_generic.jl#L126-L143 this dispatch isn't using the alloc_mem cache in its later pieces, so all of the time is re-allocating its memory. We need to alloc_mem in the cache construction here and just reuse that cache, and we should see massive savings.

@ChrisRackauckas
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@oscardssmith can you find the time for this one as well? Relatively trivial to fix.

@oscardssmith oscardssmith mentioned this issue May 31, 2024
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@oscardssmith
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I'm not sure this was fully ready to close. I think I only fixed the sparse regression.

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@ChrisRackauckas @oscardssmith @Sohail-Makhani @yakovbraver