SciML / OrdinaryDiffEq.jl

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
https://diffeq.sciml.ai/latest/
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Performance regression in non-autonomous Linear ODE solvers #2121

Open yakovbraver opened 9 months ago

yakovbraver commented 9 months ago

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 #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 #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 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] 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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 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 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 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 [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 ```
versioninfo() ```julia 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 commented 6 months ago

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 commented 6 months ago

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 commented 5 months ago

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

oscardssmith commented 5 months ago

I'm not sure this was fully ready to close. I think I only fixed the sparse regression.