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Nonlinear BVP Benchmarks

This benchmark compares the runtime and error of BVP solvers, including MIRK solvers, FIRK solvers, Shooting solvers and FORTRAN BVP solvers on nonlinear boundary value problems. The testing BVPs are a set of standard BVP test problems as described here. The problems are implemented in BVProblemLibrary.jl, where you can find the problem function declarations. For each problem, we test the following solvers:

  • BoundaryValueDiffEq.jl's MIRK methods(including MIRK4, MIRK5, MIRK6).
  • BoundaryValueDiffEq.jl's Shooting methods(including Shooting, MultipleShooting).
  • BoundaryValueDiffEq.jl's FIRK methods(including RadauIIa3, RadauIIa5, RadauIIa7, LobattoIIIa4, LobattoIIIa5, LobattoIIIb4, LobattoIIIb5, LobattoIIIc4, LobattoIIIc5).
  • SimpleBoundaryValueDiffEq.jl's MIRK methods(including SimpleMIRK4, SimpleMIRK5, SimpleMIRK6).
  • FORTRAN BVP solvers from ODEInterface.jl(including BVPM2 and COLNEW).

Setup

Fetch required packages.

using BoundaryValueDiffEq, SimpleBoundaryValueDiffEq, OrdinaryDiffEq, ODEInterface, DiffEqDevTools, BenchmarkTools,
      BVProblemLibrary, CairoMakie, NonlinearSolveFirstOrder

Set up the benchmarked solvers.

solvers_all = [
    (; pkg = :boundaryvaluediffeq,          type = :mirk,         name = "MIRK4",                solver = Dict(:alg => MIRK4(), :dts=>1.0 ./ 5.0 .^ (1:4))),
    (; pkg = :boundaryvaluediffeq,          type = :mirk,         name = "MIRK5",                solver = Dict(:alg => MIRK5(), :dts=>1.0 ./ 5.0 .^ (1:4))),
    (; pkg = :boundaryvaluediffeq,          type = :mirk,         name = "MIRK6",                solver = Dict(:alg => MIRK6(), :dts=>1.0 ./ 5.0 .^ (1:4))),
    (; pkg = :boundaryvaluediffeq,          type = :firk,         name = "RadauIIa3",            solver = Dict(:alg => RadauIIa3(), :dts=>1.0 ./ 5.0 .^ (1:4))),
    (; pkg = :boundaryvaluediffeq,          type = :firk,         name = "RadauIIa5",            solver = Dict(:alg => RadauIIa5(), :dts=>1.0 ./ 5.0 .^ (1:4))),
    (; pkg = :boundaryvaluediffeq,          type = :firk,         name = "RadauIIa7",            solver = Dict(:alg => RadauIIa7(), :dts=>1.0 ./ 5.0 .^ (1:4))),
    (; pkg = :boundaryvaluediffeq,          type = :firk,         name = "LobattoIIIa4",         solver = Dict(:alg => LobattoIIIa4(), :dts=>1.0 ./ 5.0 .^ (1:4))),
    (; pkg = :boundaryvaluediffeq,          type = :firk,         name = "LobattoIIIa5",         solver = Dict(:alg => LobattoIIIa5(), :dts=>1.0 ./ 5.0 .^ (1:4))),
    (; pkg = :boundaryvaluediffeq,          type = :firk,         name = "LobattoIIIb4",         solver = Dict(:alg => LobattoIIIb4(), :dts=>1.0 ./ 5.0 .^ (1:4))),
    (; pkg = :boundaryvaluediffeq,          type = :firk,         name = "LobattoIIIb5",         solver = Dict(:alg => LobattoIIIb5(), :dts=>1.0 ./ 5.0 .^ (1:4))),
    (; pkg = :boundaryvaluediffeq,          type = :firk,         name = "LobattoIIIc4",         solver = Dict(:alg => LobattoIIIc4(), :dts=>1.0 ./ 5.0 .^ (1:4))),
    (; pkg = :boundaryvaluediffeq,          type = :firk,         name = "LobattoIIIc5",         solver = Dict(:alg => LobattoIIIc5(), :dts=>1.0 ./ 5.0 .^ (1:4))),
    (; pkg = :boundaryvaluediffeq,          type = :shooting,     name = "Single Shooting",      solver = Dict(:alg => Shooting(Tsit5(), NewtonRaphson()))),
    (; pkg = :boundaryvaluediffeq,          type = :shooting,     name = "Multiple Shooting",    solver = Dict(:alg => MultipleShooting(10, Tsit5()))),
    (; pkg = :wrapper,                      type = :general,      name = "BVPM2",                solver = Dict(:alg => BVPM2(), :dts=>1.0 ./ 5.0 .^ (1:4))),
    (; pkg = :wrapper,                      type = :general,      name = "COLNEW",               solver = Dict(:alg => COLNEW(), :dts=>1.0 ./ 5.0 .^ (1:4))),
];

solver_tracker = [];
wp_general_tracker = [];

Sets tolerances.

abstols = 1.0 ./ 10.0 .^ (1:4)
reltols = 1.0 ./ 10.0 .^ (1:4);

Prepares helper function for benchmarking a specific problem.

function benchmark(prob)
    sol = solve(prob, MIRK6(), dt = 0.01, abstol = 1e-6)
    testsol = TestSolution(sol)
    wps = WorkPrecisionSet(prob, abstols, reltols, getfield.(solvers_all, :solver); names = getfield.(solvers_all, :name), appxsol = testsol, maxiters=Int(1e4))
    push!(wp_general_tracker, wps)
    return wps
end

function plot_wpd(wp_set)
    fig = begin
        LINESTYLES = Dict(:boundaryvaluediffeq => :solid, :simpleboundaryvaluediffeq => :dash, :wrapper => :dot)
        ASPECT_RATIO = 0.7
        WIDTH = 1200
        HEIGHT = round(Int, WIDTH * ASPECT_RATIO)
        STROKEWIDTH = 2.5

    colors = cgrad(:seaborn_bright, length(solvers_all); categorical = true)
    cycle = Cycle([:marker], covary = true)
        plot_theme = Theme(Lines = (; cycle), Scatter = (; cycle))

        with_theme(plot_theme) do 
            fig = Figure(; size = (WIDTH, HEIGHT))
            ax = Axis(fig[1, 1], ylabel = L"Time $\mathbf{(s)}$",
                xlabelsize = 22, ylabelsize = 22,
                xlabel = L"Error: $\mathbf{||f(u^\ast)||_2}$",
                xscale = log10, yscale = log10, xtickwidth = STROKEWIDTH,
                ytickwidth = STROKEWIDTH, spinewidth = STROKEWIDTH,
                xticklabelsize = 20, yticklabelsize = 20)

            idxs = sortperm(median.(getfield.(wp_set.wps, :times)))

            ls, scs = [], []

            for (i, (wp, solver)) in enumerate(zip(wp_set.wps[idxs], solvers_all[idxs]))
                (; name, times, errors) = wp
                errors = [err.l∞ for err in errors]
                l = lines!(ax, errors, times; linestyle = LINESTYLES[solver.pkg], label = name,
                    linewidth = 5, color = colors[i])
                sc = scatter!(ax, errors, times; label = name, markersize = 16, strokewidth = 2,
                    color = colors[i])
                push!(ls, l)
                push!(scs, sc)
            end

            xlims!(ax; high=1)
            ylims!(ax; low=5e-7)

            Legend(fig[1,2], [[l, sc] for (l, sc) in zip(ls, scs)],
                [solver.name for solver in solvers_all[idxs]], "BVP Solvers";
                framevisible=true, framewidth = STROKEWIDTH, position = :rb,
                titlesize = 20, labelsize = 16, patchsize = (40.0f0, 20.0f0))

            fig[0, :] = Label(fig, "Nonlinear BVP Benchmark",
                fontsize = 24, tellwidth = false, font = :bold)
            fig
        end
    end
end
plot_wpd (generic function with 1 method)

Benchmarks

We here run benchmarks for each of the 18 test problems.

Nonlinear BVP 1

prob_1 = BVProblemLibrary.prob_bvp_nonlinear_1
wps = benchmark(prob_1)
plot_wpd(wps)

Nonlinear BVP 2

prob_2 = BVProblemLibrary.prob_bvp_nonlinear_2
wps = benchmark(prob_2)
plot_wpd(wps)

Nonlinear BVP 3

prob_3 = BVProblemLibrary.prob_bvp_nonlinear_3
wps = benchmark(prob_3)
plot_wpd(wps)

Nonlinear BVP 4

prob_4 = BVProblemLibrary.prob_bvp_nonlinear_4
wps = benchmark(prob_4)
plot_wpd(wps)

Nonlinear BVP 5

prob_5 = BVProblemLibrary.prob_bvp_nonlinear_5
wps = benchmark(prob_5)
plot_wpd(wps)

Nonlinear BVP 6

prob_6 = BVProblemLibrary.prob_bvp_nonlinear_6
wps = benchmark(prob_6)
plot_wpd(wps)

Nonlinear BVP 7

prob_7 = BVProblemLibrary.prob_bvp_nonlinear_7
wps = benchmark(prob_7)
plot_wpd(wps)

Nonlinear BVP 8

prob_8 = BVProblemLibrary.prob_bvp_nonlinear_8
wps = benchmark(prob_8)
plot_wpd(wps)

Nonlinear BVP 9

prob_9 = BVProblemLibrary.prob_bvp_nonlinear_9
wps = benchmark(prob_9)
plot_wpd(wps)

Nonlinear BVP 10

prob_10 = BVProblemLibrary.prob_bvp_nonlinear_10
wps = benchmark(prob_10)
plot_wpd(wps)

Nonlinear BVP 11

prob_11 = BVProblemLibrary.prob_bvp_nonlinear_11
wps = benchmark(prob_11)
plot_wpd(wps)

Nonlinear BVP 12

prob_12 = BVProblemLibrary.prob_bvp_nonlinear_12
wps = benchmark(prob_12)
plot_wpd(wps)

Nonlinear BVP 13

prob_13 = BVProblemLibrary.prob_bvp_nonlinear_13
wps = benchmark(prob_13)
plot_wpd(wps)

Nonlinear BVP 14

prob_14 = BVProblemLibrary.prob_bvp_nonlinear_14
wps = benchmark(prob_14)
plot_wpd(wps)

Nonlinear BVP 15

prob_15 = BVProblemLibrary.prob_bvp_nonlinear_15
wps = benchmark(prob_15)
plot_wpd(wps)

Summary of General Solvers Performance on All Problems

fig = begin
    LINESTYLES = Dict(:boundaryvaluediffeq => :solid, :wrapper => :dot)
    ASPECT_RATIO = 0.7
    WIDTH = 1800
    HEIGHT = round(Int, WIDTH * ASPECT_RATIO)
    STROKEWIDTH = 2.5

    colors = cgrad(:seaborn_bright, length(solvers_all); categorical = true)
    cycle = Cycle([:marker], covary = true)
    plot_theme = Theme(Lines = (; cycle), Scatter = (; cycle))

    with_theme(plot_theme) do
        fig = Figure(; size = (WIDTH, HEIGHT))

        ls = []
        scs = []
        labels = []
        solver_times = []

        for i in 1:3, j in 1:5
            idx = 5 * (i - 1) + j

            idx > length(wp_general_tracker) && break

            wp = wp_general_tracker[idx]

            ax = Axis(fig[i, j],
                xscale = log10, yscale = log10,
                xtickwidth = STROKEWIDTH,
                ytickwidth = STROKEWIDTH, spinewidth = STROKEWIDTH,
                title = "No. $(idx) Nonlinear BVP benchmarking", titlegap = 10,
                xticklabelsize = 16, yticklabelsize = 16)

            for wpᵢ in wp.wps
                idx = findfirst(s -> s.name == wpᵢ.name, solvers_all)
                errs = getindex.(wpᵢ.errors, :l∞)
                times = wpᵢ.times

                l = lines!(ax, errs, times; color = colors[idx], linewidth = 5,
                    linestyle = LINESTYLES[solvers_all[idx].pkg], alpha = 0.8,
                    label = wpᵢ.name)
                sc = scatter!(ax, errs, times; color = colors[idx], markersize = 16,
                    strokewidth = 2, marker = Cycled(idx), alpha = 0.8, label = wpᵢ.name)

                if wpᵢ.name ∉ labels
                    push!(ls, l)
                    push!(scs, sc)
                    push!(labels, wpᵢ.name)
                end
            end
        end

        fig[0, :] = Label(fig, "Work-Precision Diagram for 15 Nonlinear Test Problems",
            fontsize = 24, tellwidth = false, font = :bold)

        fig[:, 0] = Label(fig, "Time (s)", fontsize = 20, tellheight = false, font = :bold,
            rotation = π / 2)
        fig[end + 1, :] = Label(fig,
            L"Error: $\mathbf{||f(u^\ast)||_2}$",
            fontsize = 20, tellwidth = false, font = :bold)

        Legend(fig[:, 6], [[l, sc] for (l, sc) in zip(ls, scs)],
            labels, "BVP Solvers";
            framevisible=true, framewidth = STROKEWIDTH, orientation = :vertical,
            titlesize = 20, nbanks = 1, labelsize = 20, halign = :center,
            tellheight = false, tellwidth = false, patchsize = (40.0f0, 20.0f0))

        return fig
    end
end

Appendix

These benchmarks are a part of the SciMLBenchmarks.jl repository, found at: https://github.com/SciML/SciMLBenchmarks.jl. For more information on high-performance scientific machine learning, check out the SciML Open Source Software Organization https://sciml.ai.

To locally run this benchmark, do the following commands:

using SciMLBenchmarks
SciMLBenchmarks.weave_file("benchmarks/NonStiffBVP","nonlinear_wpd.jmd")

Computer Information:

Julia Version 1.11.9
Commit 53a02c0720c (2026-02-06 00:27 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 128 × AMD EPYC 7502 32-Core Processor
  WORD_SIZE: 64
  LLVM: libLLVM-16.0.6 (ORCJIT, znver2)
Threads: 1 default, 0 interactive, 1 GC (on 128 virtual cores)
Environment:
  JULIA_PKG_PRECOMPILE_AUTO = 0

Package Information:

Status `~/sandbox/tmp_20260825_180339_53321/nonstiffbvp-current/benchmarks/NonStiffBVP/Project.toml`
  [ded0fc24] BVProblemLibrary v0.1.13
  [6e4b80f9] BenchmarkTools v1.8.0
  [764a87c0] BoundaryValueDiffEq v5.25.0
  [13f3f980] CairoMakie v0.15.14
⌃ [f3b72e0c] DiffEqDevTools v3.6.1
  [5959db7a] NonlinearSolveFirstOrder v2.5.0
  [54ca160b] ODEInterface v0.5.2
  [1dea7af3] OrdinaryDiffEq v7.8.1
  [1344f307] OrdinaryDiffEqLowOrderRK v2.2.5
  [91a5bcdd] Plots v1.41.7
  [0bca4576] SciMLBase v3.50.2
⌃ [31c91b34] SciMLBenchmarks v0.1.3
  [be0294bd] SimpleBoundaryValueDiffEq v1.6.0
Info Packages marked with ⌃ have new versions available and may be upgradable.

And the full manifest:

Status `~/sandbox/tmp_20260825_180339_53321/nonstiffbvp-current/benchmarks/NonStiffBVP/Manifest.toml`
  [47edcb42] ADTypes v1.24.0
⌃ [14f7f29c] AMD v0.5.3
  [621f4979] AbstractFFTs v1.5.0
  [1520ce14] AbstractTrees v0.4.5
  [7d9f7c33] Accessors v0.1.45
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  [13072b0f] AxisAlgorithms v1.1.0
  [39de3d68] AxisArrays v0.4.8
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  [7227322d] BoundaryValueDiffEqAscher v1.16.1
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  [85d9eb09] BoundaryValueDiffEqFIRK v1.19.1
  [1a22d4ce] BoundaryValueDiffEqMIRK v1.18.1
  [9255f1d6] BoundaryValueDiffEqMIRKN v1.17.1
  [ed55bfe0] BoundaryValueDiffEqShooting v1.18.2
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  [21216c6a] Preferences v1.5.2
  [08abe8d2] PrettyTables v3.4.8
  [27ebfcd6] Primes v0.5.7
  [92933f4c] ProgressMeter v1.11.0
  [43287f4e] PtrArrays v1.4.0
  [0c0d3e7f] PureKLU v1.4.1
  [4b34888f] QOI v1.0.2
  [1fd47b50] QuadGK v2.11.3
⌅ [8a4e6c94] QuasiMonteCarlo v0.3.11
  [b3c3ace0] RangeArrays v0.3.2
  [c84ed2f1] Ratios v0.4.5
  [3cdcf5f2] RecipesBase v1.3.4
  [01d81517] RecipesPipeline v0.6.12
  [731186ca] RecursiveArrayTools v4.5.1
  [189a3867] Reexport v1.2.2
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.1
  [ae5879a3] ResettableStacks v1.4.0
  [9fe22ead] RespecializeParams v1.3.0
  [79098fc4] Rmath v0.9.0
  [47965b36] RootedTrees v2.27.0
  [f2b01f46] Roots v3.0.8
  [5eaf0fd0] RoundingEmulator v0.2.1
  [7e49a35a] RuntimeGeneratedFunctions v0.5.25
  [fdea26ae] SIMD v3.7.2
  [0bca4576] SciMLBase v3.50.2
⌃ [31c91b34] SciMLBenchmarks v0.1.3
  [19f34311] SciMLJacobianOperators v0.1.18
  [a6db7da4] SciMLLogging v2.1.0
  [c0aeaf25] SciMLOperators v1.30.0
  [431bcebd] SciMLPublic v1.3.0
  [53ae85a6] SciMLStructures v1.10.5
  [6c6a2e73] Scratch v1.3.0
  [efcf1570] Setfield v1.1.2
  [65257c39] ShaderAbstractions v0.5.0
  [992d4aef] Showoff v1.1.1
  [73760f76] SignedDistanceFields v0.4.1
  [be0294bd] SimpleBoundaryValueDiffEq v1.6.0
  [727e6d20] SimpleNonlinearSolve v2.14.1
  [699a6c99] SimpleTraits v0.9.6
  [45858cf5] Sixel v0.1.5
  [ed01d8cd] Sobol v1.5.0
  [a2af1166] SortingAlgorithms v1.2.3
⌃ [a57abbd0] SparseColumnPivotedQR v2.1.7
  [9f842d2f] SparseConnectivityTracer v1.2.3
⌃ [0a514795] SparseMatrixColorings v0.4.27
  [276daf66] SpecialFunctions v2.9.0
  [860ef19b] StableRNGs v1.0.4
  [cae243ae] StackViews v0.1.2
  [90137ffa] StaticArrays v1.9.20
  [1e83bf80] StaticArraysCore v1.4.4
  [10745b16] Statistics v1.11.5
  [82ae8749] StatsAPI v1.8.0
  [2913bbd2] StatsBase v0.34.13
  [4c63d2b9] StatsFuns v2.2.1
  [69024149] StringEncodings v0.3.7
⌅ [892a3eda] StringManipulation v0.5.0
  [09ab397b] StructArrays v0.7.3
  [2efcf032] SymbolicIndexingInterface v0.3.55
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.14.0
  [62fd8b95] TensorCore v0.1.1
  [731e570b] TiffImages v0.11.9
  [a759f4b9] TimerOutputs v1.2.1
  [3bb67fe8] TranscodingStreams v0.11.3
  [981d1d27] TriplotBase v0.1.0
  [781d530d] TruncatedStacktraces v1.4.0
  [1cfade01] UnicodeFun v0.4.1
⌃ [1986cc42] Unitful v1.28.0
  [41fe7b60] Unzip v0.2.0
  [81def892] VersionParsing v1.3.0
  [44d3d7a6] Weave v0.10.12
  [e3aaa7dc] WebP v0.1.3
  [efce3f68] WoodburyMatrices v1.1.0
  [ddb6d928] YAML v0.4.16
  [c2297ded] ZMQ v1.5.1
  [6e34b625] Bzip2_jll v1.0.9+0
  [4e9b3aee] CRlibm_jll v1.0.1+0
  [83423d85] Cairo_jll v1.18.7+0
  [a38c48d9] CoreMath_jll v0.1.0+0
  [ee1fde0b] Dbus_jll v1.16.2+0
⌅ [5ae413db] EarCut_jll v2.2.4+0
  [2702e6a9] EpollShim_jll v0.0.20230411+1
  [2e619515] Expat_jll v2.8.3+0
⌅ [b22a6f82] FFMPEG_jll v8.1.2+0
  [a3f928ae] Fontconfig_jll v2.17.1+0
  [d7e528f0] FreeType2_jll v2.14.3+1
  [559328eb] FriBidi_jll v1.0.17+0
  [0656b61e] GLFW_jll v3.5.1+0
  [d2c73de3] GR_jll v0.73.27+0
⌅ [b0724c58] GettextRuntime_jll v0.22.4+0
  [61579ee1] Ghostscript_jll v9.55.1+0
⌅ [59f7168a] Giflib_jll v5.2.3+0
  [020c3dae] Git_LFS_jll v3.7.1+0
  [f8c6e375] Git_jll v2.55.0+0
  [7746bdde] Glib_jll v2.88.3+0
  [3b182d85] Graphite2_jll v1.3.16+0
  [2e76f6c2] HarfBuzz_jll v100.14003.0+0
  [905a6f67] Imath_jll v3.2.2+0
  [1d5cc7b8] IntelOpenMP_jll v2025.2.0+0
  [aacddb02] JpegTurbo_jll v3.2.0+1
  [c1c5ebd0] LAME_jll v3.100.3+0
  [88015f11] LERC_jll v4.1.0+0
  [1d63c593] LLVMOpenMP_jll v22.1.7+0
⌅ [e9f186c6] Libffi_jll v3.4.7+0
  [7e76a0d4] Libglvnd_jll v1.7.1+1
  [94ce4f54] Libiconv_jll v1.18.0+0
  [4b2f31a3] Libmount_jll v2.42.0+0
  [89763e89] Libtiff_jll v4.7.3+0
  [38a345b3] Libuuid_jll v2.42.0+0
  [856f044c] MKL_jll v2025.2.0+0
  [c771fb93] ODEInterface_jll v0.0.2+0
  [e7412a2a] Ogg_jll v1.3.6+0
  [6cdc7f73] OpenBLASConsistentFPCSR_jll v0.3.34+0
  [18a262bb] OpenEXR_jll v3.4.14+0
  [9bd350c2] OpenSSH_jll v10.5.1+0
  [458c3c95] OpenSSL_jll v3.5.8+0
  [efe28fd5] OpenSpecFun_jll v0.5.6+0
  [91d4177d] Opus_jll v1.6.1+0
  [36c8627f] Pango_jll v1.58.2+0
  [30392449] Pixman_jll v0.46.4+0
  [c0090381] Qt6Base_jll v6.10.2+2
  [629bc702] Qt6Declarative_jll v6.10.2+2
  [ce943373] Qt6ShaderTools_jll v6.10.2+1
  [6de9746b] Qt6Svg_jll v6.10.2+0
  [e99dba38] Qt6Wayland_jll v6.10.2+1
  [f50d1b31] Rmath_jll v0.5.2+0
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] Wayland_jll v1.24.0+0
  [ffd25f8a] XZ_jll v5.8.3+0
  [f67eecfb] Xorg_libICE_jll v1.1.2+0
  [c834827a] Xorg_libSM_jll v1.2.6+0
  [4f6342f7] Xorg_libX11_jll v1.8.13+0
  [0c0b7dd1] Xorg_libXau_jll v1.0.13+0
  [935fb764] Xorg_libXcursor_jll v1.2.4+0
  [a3789734] Xorg_libXdmcp_jll v1.1.6+0
  [1082639a] Xorg_libXext_jll v1.3.8+0
  [d091e8ba] Xorg_libXfixes_jll v6.0.2+0
  [a51aa0fd] Xorg_libXi_jll v1.8.4+0
  [d1454406] Xorg_libXinerama_jll v1.1.7+0
  [ec84b674] Xorg_libXrandr_jll v1.5.6+0
  [ea2f1a96] Xorg_libXrender_jll v0.9.12+0
  [a65dc6b1] Xorg_libpciaccess_jll v0.19.0+0
  [c7cfdc94] Xorg_libxcb_jll v1.17.1+0
  [cc61e674] Xorg_libxkbfile_jll v1.2.0+0
  [e920d4aa] Xorg_xcb_util_cursor_jll v0.1.6+0
  [12413925] Xorg_xcb_util_image_jll v0.4.1+0
  [2def613f] Xorg_xcb_util_jll v0.4.1+0
  [975044d2] Xorg_xcb_util_keysyms_jll v0.4.1+0
  [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.10+0
  [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.2+0
  [35661453] Xorg_xkbcomp_jll v1.4.7+0
  [33bec58e] Xorg_xkeyboard_config_jll v2.47.0+2
  [c5fb5394] Xorg_xtrans_jll v1.6.0+0
  [8f1865be] ZeroMQ_jll v4.3.6+0
  [3161d3a3] Zstd_jll v1.5.7+1
  [35ca27e7] eudev_jll v3.2.14+0
⌅ [214eeab7] fzf_jll v0.61.1+0
  [9a68df92] isoband_jll v0.2.3+0
  [a4ae2306] libaom_jll v3.14.1+0
  [0ac62f75] libass_jll v0.17.5+0
  [1183f4f0] libdecor_jll v0.2.2+0
  [8e53e030] libdrm_jll v2.4.134+0
  [2db6ffa8] libevdev_jll v1.13.4+0
  [f638f0a6] libfdk_aac_jll v2.0.4+0
  [36db933b] libinput_jll v1.28.1+0
  [b53b4c65] libpng_jll v1.6.58+0
  [075b6546] libsixel_jll v1.10.5+0
  [a9144af2] libsodium_jll v1.0.21+0
  [9a156e7d] libva_jll v2.23.0+0
  [f27f6e37] libvorbis_jll v1.3.8+0
  [c5f90fcd] libwebp_jll v1.6.0+0
  [009596ad] mtdev_jll v1.1.7+0
  [1317d2d5] oneTBB_jll v2022.3.0+0
⌅ [1270edf5] x264_jll v10164.0.1+0
  [dfaa095f] x265_jll v4.1.0+0
  [d8fb68d0] xkbcommon_jll v1.13.0+0
  [0dad84c5] ArgTools v1.1.2
  [56f22d72] Artifacts v1.11.0
  [2a0f44e3] Base64 v1.11.0
  [8bf52ea8] CRC32c v1.11.0
  [ade2ca70] Dates v1.11.0
  [8ba89e20] Distributed v1.11.0
  [f43a241f] Downloads v1.6.0
  [7b1f6079] FileWatching v1.11.0
  [9fa8497b] Future v1.11.0
  [b77e0a4c] InteractiveUtils v1.11.0
  [4af54fe1] LazyArtifacts v1.11.0
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2 v1.11.0
  [8f399da3] Libdl v1.11.0
  [37e2e46d] LinearAlgebra v1.11.0
  [56ddb016] Logging v1.11.0
  [d6f4376e] Markdown v1.11.0
  [a63ad114] Mmap v1.11.0
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.11.0
  [de0858da] Printf v1.11.0
  [9abbd945] Profile v1.11.0
  [3fa0cd96] REPL v1.11.0
  [9a3f8284] Random v1.11.0
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization v1.11.0
  [1a1011a3] SharedArrays v1.11.0
  [6462fe0b] Sockets v1.11.0
  [2f01184e] SparseArrays v1.11.0
  [f489334b] StyledStrings v1.11.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test v1.11.0
  [cf7118a7] UUIDs v1.11.0
  [4ec0a83e] Unicode v1.11.0
  [e66e0078] CompilerSupportLibraries_jll v1.1.1+0
  [deac9b47] LibCURL_jll v8.6.0+0
  [e37daf67] LibGit2_jll v1.7.2+0
  [29816b5a] LibSSH2_jll v1.11.0+1
  [c8ffd9c3] MbedTLS_jll v2.28.6+0
  [14a3606d] MozillaCACerts_jll v2023.12.12
  [4536629a] OpenBLAS_jll v0.3.27+1
  [05823500] OpenLibm_jll v0.8.5+0
  [efcefdf7] PCRE2_jll v10.42.0+1
  [bea87d4a] SuiteSparse_jll v7.7.0+0
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.11.0+0
  [8e850ede] nghttp2_jll v1.59.0+0
  [3f19e933] p7zip_jll v17.4.0+2
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`