Ionic Liquid Dehumidifier Benchmarks

This benchmark compares the runtime and error of BVP solvers, including FIRK solvers and FORTRAN BVP solvers on ionic liquid dehumidifier problem. For this problem, we test the following solvers:

• BoundaryValueDiffEq.jl's FIRK nested solvers(including RadauIIa3, RadauIIa5, RadauIIa7, LobattoIIIa3, LobattoIIIa4, LobattoIIIa5, LobattoIIIb3, LobattoIIIb4, LobattoIIIb5, LobattoIIIc3, LobattoIIIc4, LobattoIIIc5).
• FORTRAN BVP solvers from ODEInterface.jl(including BVPM2 and COLNEW).

Setup

Fetch required packages.

using BoundaryValueDiffEq, BracketingNonlinearSolve, ODEInterface, DiffEqDevTools,
      BenchmarkTools,
      Interpolations, StaticArrays, CairoMakie

Set up the benchmarked solvers.

solvers_all = [
    (; pkg = :boundaryvaluediffeq,
        type = :firk,
        name = "RadauIIa3",
        solver = Dict(:alg => RadauIIa3(; nested_nlsolve = true), :dts=>1.0 ./
                                                                        10.0 .^ (2:4))),
    (; pkg = :boundaryvaluediffeq,
        type = :firk,
        name = "RadauIIa5",
        solver = Dict(:alg => RadauIIa5(; nested_nlsolve = true), :dts=>1.0 ./
                                                                        10.0 .^ (2:4))),
    (; pkg = :boundaryvaluediffeq,
        type = :firk,
        name = "RadauIIa7",
        solver = Dict(:alg => RadauIIa7(; nested_nlsolve = true), :dts=>1.0 ./
                                                                        10.0 .^ (2:4))),
    (; pkg = :boundaryvaluediffeq,
        type = :firk,
        name = "LobattoIIIa3",
        solver = Dict(:alg => LobattoIIIa3(; nested_nlsolve = true), :dts=>1.0 ./
                                                                           10.0 .^ (2:4))),
    (; pkg = :boundaryvaluediffeq,
        type = :firk,
        name = "LobattoIIIa4",
        solver = Dict(:alg => LobattoIIIa4(; nested_nlsolve = true), :dts=>1.0 ./
                                                                           10.0 .^ (2:4))),
    (; pkg = :boundaryvaluediffeq,
        type = :firk,
        name = "LobattoIIIa5",
        solver = Dict(:alg => LobattoIIIa5(; nested_nlsolve = true), :dts=>1.0 ./
                                                                           10.0 .^ (2:4))),
    (; pkg = :boundaryvaluediffeq,
        type = :firk,
        name = "LobattoIIIb3",
        solver = Dict(:alg => LobattoIIIb3(; nested_nlsolve = true), :dts=>1.0 ./
                                                                           10.0 .^ (2:4))),
    (; pkg = :boundaryvaluediffeq,
        type = :firk,
        name = "LobattoIIIb4",
        solver = Dict(:alg => LobattoIIIb4(; nested_nlsolve = true), :dts=>1.0 ./
                                                                           10.0 .^ (2:4))),
    (; pkg = :boundaryvaluediffeq,
        type = :firk,
        name = "LobattoIIIb5",
        solver = Dict(:alg => LobattoIIIb5(; nested_nlsolve = true), :dts=>1.0 ./
                                                                           10.0 .^ (2:4))),
    (; pkg = :boundaryvaluediffeq,
        type = :firk,
        name = "LobattoIIIb3",
        solver = Dict(:alg => LobattoIIIc3(; nested_nlsolve = true), :dts=>1.0 ./
                                                                           10.0 .^ (2:4))),
    (; pkg = :boundaryvaluediffeq,
        type = :firk,
        name = "LobattoIIIb4",
        solver = Dict(:alg => LobattoIIIc4(; nested_nlsolve = true), :dts=>1.0 ./
                                                                           10.0 .^ (2:4))),
    (; pkg = :boundaryvaluediffeq,
        type = :firk,
        name = "LobattoIIIb5",
        solver = Dict(:alg => LobattoIIIc5(; nested_nlsolve = true), :dts=>1.0 ./
                                                                           10.0 .^ (2:4))),
    (; pkg = :wrapper, type = :general, name = "COLNEW",
        solver = Dict(:alg => COLNEW(), :dts=>1.0 ./ 10.0 .^ (2:4)))
];

Set tolerances.

abstols = 1.0 ./ 10.0 .^ (1:3)
reltols = 1.0 ./ 10.0 .^ (1:3);

Benchmarks

iᵥ_ₛₐₜ(T) = 10^(6.697227966814859 - 273.8702703951898 /
                                    (T + 642.1729733423742))

begin
    "Properties Interpolations and Extrapolations"

    const Tⁿᵒᵈᵉˢ = @SVector[x + 273.15 for x in [25.0, 35.0, 60.0, 80.0]]
    const ξⁿᵒᵈᵉˢ_2 = @SVector[x * 0.01 for x in [0.0, 50.0, 70.0, 80.0, 85.0, 90.0, 95.0]]
    const nodes = (Tⁿᵒᵈᵉˢ, ξⁿᵒᵈᵉˢ_2)

    const Δh_data = @SMatrix[0.0 -58000.0 -75000.0 -74000.0 -68000.0 -55000.0 -34000.0
                             0.0 -57000.0 -72000.0 -72000.0 -67000.0 -54000.0 -33000.0
                             0.0 -52000.0 -67000.0 -67000.0 -62000.0 -51000.0 -31000.0
                             0.0 -48000.0 -62000.0 -64000.0 -59000.0 -49000.0 -30000.0]
    # # ================== Interpolation and Extrapolation P_ν ==================
    const a0_p = 12.10
    const a1_p = -28.01
    const a2_p = 50.34
    const a3_p = -24.63
    const b0_p = 1212.67
    const b1_p = 772.37
    const b2_p = 614.59
    const b3_p = 493.33

    @inline function _Pᵥₐₚₒᵣ_ₛₒₗ(T, ξ)
        A = a0_p + a1_p * ξ + a2_p * ξ^2 + a3_p * ξ^3
        B = b0_p + b1_p * ξ + b2_p * ξ^2 + b3_p * ξ^3
        return 10^(A - B / T) * 100.0
    end
    # ================== Interpolation and Extrapolation cp ====================  
    function _cpₛₒₗ(T, ξ)
        return ((0.00476 * T - 4.01) * ξ + 4.21) * 1e3
    end

    @inline function _Δh(T, ξ)
        Δh_interpolated = interpolate(nodes, Δh_data, Gridded(Linear()))
        Δh_extrapolated = extrapolate(Δh_interpolated, Line())
        return Δh_extrapolated(T, ξ)
    end

    @inline function _iₛₒₗ(T, ξ)
        Δh = _Δh(T, ξ)
        i = _cpₛₒₗ(T, ξ) * (T - 273.15) + Δh
        return i
    end

    # ================== Find T given i_sol and ξ ====================
    # Function to find the root, given i_sol and ξ
    @inline function calculate_T_sol(iᵛₛₒₗ, ξ; T_lower = -150.0 + 273.15, T_upper = 95.0 +
                                                                                    273.15)
        f(T, p) = _iₛₒₗ(T, p[2]) - p[1]
        p = @SVector[iᵛₛₒₗ, ξ]
        T_span = (T_lower, T_upper)
        prob = IntervalNonlinearProblem{false}(f, T_span, p)
        result = solve(prob, BracketingNonlinearSolve.ITP())
        return result.u
    end
end

function ionic_liquid_coil_ode!(du, u, p, t)
    # ωₐᵢᵣ, iₐᵢᵣ, ṁₛₒₗ,ξₛₒₗ, iₛₒₗ = u
    # ========================================
    Le = p[1]
    ∂Qᵣ = p[2]
    ṁₐᵢᵣ = p[3]
    NTUᴰₐᵢᵣ = p[4]
    σ = p[5]
    ṁₛₒₗ_ᵢₙ = p[6]
    ξₛₒₗ_ᵢₙ = p[7]
    iₛₒₗ_ᵢₙ = p[8]
    ωₐ_ᵢₙ = p[9]
    iₐ_ᵢₙ = p[10]
    MR = ṁₛₒₗ_ᵢₙ / ṁₐᵢᵣ
    ER = iₛₒₗ_ᵢₙ / iₐ_ᵢₙ
    # ========================================
    Tₛₒₗ = calculate_T_sol(u[5] * iₛₒₗ_ᵢₙ, u[4] * ξₛₒₗ_ᵢₙ)
    Pᵥₐₚₒᵣ_ₛₒₗ = _Pᵥₐₚₒᵣ_ₛₒₗ(Tₛₒₗ, u[4] * ξₛₒₗ_ᵢₙ)
    ωₑ = 0.622 * Pᵥₐₚₒᵣ_ₛₒₗ / (101325.0 - Pᵥₐₚₒᵣ_ₛₒₗ) / ωₐ_ᵢₙ
    iₑ = (1.005 * (Tₛₒₗ - 273.15) + ωₑ * ωₐ_ᵢₙ * (2500.9 + 1.82 * (Tₛₒₗ - 273.15))) / iₐ_ᵢₙ
    iₑ *= 1000
    iᵥₐₚₒᵣ_ₜₛ = iᵥ_ₛₐₜ(Tₛₒₗ) / iₐ_ᵢₙ

    du[1] = σ * NTUᴰₐᵢᵣ * (u[1] - ωₑ)
    du[2] = σ * NTUᴰₐᵢᵣ * Le *
            ((u[2] - iₑ) + (ωₐ_ᵢₙ * iᵥₐₚₒᵣ_ₜₛ * (1 / Le - 1) * (u[1] - ωₑ)))
    du[3] = σ * ωₐ_ᵢₙ * du[1] / MR
    du[4] = (-u[4] / u[3]) * du[3]
    du[5] = (1 / u[3]) *
            (σ * (1.0 / (MR * ER)) * du[2] - u[5] * du[3] - ∂Qᵣ / (ṁₛₒₗ_ᵢₙ * iₛₒₗ_ᵢₙ))
    nothing
end

function bca!(res_a, u_a, p)
    res_a[1] = u_a[3] - 1.0
    res_a[2] = u_a[4] - 1.0
    res_a[3] = u_a[5] - 1.0
    nothing
end

function bcb!(res_b, u_b, p)
    res_b[1] = u_b[1] - 1.0
    res_b[2] = u_b[2] - 1.0
    nothing
end

dt = 0.05
tspan = (0.0, 1.0)

Le = 0.85
σ = 1.0
ṁₛₒₗ_ᵢₙ = 7.466666666666666e-5
ξₛₒₗ_ᵢₙ = 0.8
iₛₒₗ_ᵢₙ = -30235.4128
ωₐ_ᵢₙ = 0.022800264832054707
iₐ_ᵢₙ = 88436.57753410653
∂Qᵣ = -12.416666666666666
ṁₐᵢᵣ_ᵢₙ = 0.0003733333333333333
NTUᴰₐᵢᵣ = 4.678477517542263

p = @SVector[Le, ∂Qᵣ, ṁₐᵢᵣ_ᵢₙ, NTUᴰₐᵢᵣ, σ, ṁₛₒₗ_ᵢₙ, ξₛₒₗ_ᵢₙ, iₛₒₗ_ᵢₙ, ωₐ_ᵢₙ, iₐ_ᵢₙ]

u0 = [0.1, 0.1, 1.0001, 0.9, 1.01]

bvp_fun = BVPFunction(
    ionic_liquid_coil_ode!, (bca!, bcb!);
    bcresid_prototype = (zeros(3), zeros(2)), twopoint = Val(true)
)

prob = TwoPointBVProblem(bvp_fun, u0, tspan, p)
sol = solve(prob, RadauIIa7(nested_nlsolve = true, nested_nlsolve_kwargs = (; abstol = 1e-3, reltol = 1e-3)), dt = dt, abstol = 1e-5)
testsol = TestSolution(sol)
wp_set = WorkPrecisionSet(prob, abstols, reltols, getfield.(solvers_all, :solver);
    names = getfield.(solvers_all, :name), appxsol = testsol, maxiters = Int(1e4))

WorkPrecisionSet of 13 wps

Plot the result

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: $\mathbf{||f(u^\ast)||_\infty}$",
            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 = 1e-4)

        axislegend(ax, [[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, "Ionic Liquid Dehumidifier Benchmark",
            fontsize = 24, tellwidth = false, font = :bold)
        fig
    end
end

save("ionic_liquid_dehumidifier.svg", fig)

CairoMakie.Screen{SVG}

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/StiffBVP","ionic_liquid_dehumidifier.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: 128 default, 0 interactive, 64 GC (on 128 virtual cores)
Environment:
  JULIA_DEPOT_PATH = /home/crackauc/github-runners/amdci8-1/.julia
  JULIA_NUM_THREADS = auto

Package Information:

Status `~/github-runners/amdci8-1/_work/SciMLBenchmarks.jl/SciMLBenchmarks.jl/benchmarks/StiffBVP/Project.toml`
  [6e4b80f9] BenchmarkTools v1.8.0
  [764a87c0] BoundaryValueDiffEq v5.25.0
  [70df07ce] BracketingNonlinearSolve v1.12.7
  [13f3f980] CairoMakie v0.15.14
  [f3b72e0c] DiffEqDevTools v3.6.3
  [a98d9a8b] Interpolations v0.16.3
  [54ca160b] ODEInterface v0.5.2
  [31c91b34] SciMLBenchmarks v0.2.1
  [90137ffa] StaticArrays v1.9.20

And the full manifest:

Status `~/github-runners/amdci8-1/_work/SciMLBenchmarks.jl/SciMLBenchmarks.jl/benchmarks/StiffBVP/Manifest.toml`
  [47edcb42] ADTypes v1.24.0
  [14f7f29c] AMD v0.5.4
  [621f4979] AbstractFFTs v1.5.0
  [1520ce14] AbstractTrees v0.4.5
  [7d9f7c33] Accessors v0.1.45
  [79e6a3ab] Adapt v4.7.0
  [35492f91] AdaptivePredicates v1.2.0
  [66dad0bd] AliasTables v1.1.3
  [a95523ee] AlmostBlockDiagonals v0.1.10
  [27a7e980] Animations v0.4.2
  [4fba245c] ArrayInterface v7.30.2
  [4c555306] ArrayLayouts v1.12.2
  [67c07d97] Automa v1.2.0
  [13072b0f] AxisAlgorithms v1.1.0
  [39de3d68] AxisArrays v0.4.8
  [aae01518] BandedMatrices v1.12.0
  [18cc8868] BaseDirs v1.4.0
  [6e4b80f9] BenchmarkTools v1.8.0
  [b2a6c25c] BinaryHeaps v1.1.0
  [764a87c0] BoundaryValueDiffEq v5.25.0
  [7227322d] BoundaryValueDiffEqAscher v1.16.1
  [56b672f2] BoundaryValueDiffEqCore v2.8.3
⌃ [85d9eb09] BoundaryValueDiffEqFIRK v1.19.2
⌃ [1a22d4ce] BoundaryValueDiffEqMIRK v1.18.1
  [9255f1d6] BoundaryValueDiffEqMIRKN v1.17.1
  [ed55bfe0] BoundaryValueDiffEqShooting v1.18.2
  [70df07ce] BracketingNonlinearSolve v1.12.7
  [fa961155] CEnum v0.5.0
  [96374032] CRlibm v1.0.2
  [159f3aea] Cairo v1.1.1
  [13f3f980] CairoMakie v0.15.14
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⌅ [53c48c17] FixedPointNumbers v0.8.6
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  [3955a311] GridLayoutBase v0.11.3
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⌅ [eafb193a] Highlights v0.5.3
  [34004b35] HypergeometricFunctions v0.3.30
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  [c817782e] ImageBase v0.1.7
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⌅ [682c06a0] JSON v0.21.4
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⌃ [7ed4a6bd] LinearSolve v5.17.3
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  [1914dd2f] MacroTools v0.5.16
  [ee78f7c6] Makie v0.24.14
  [dbb5928d] MappedArrays v0.4.3
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⌃ [be0214bd] NonlinearSolveBase v2.49.5
⌃ [5959db7a] NonlinearSolveFirstOrder v2.6.1
  [54ca160b] ODEInterface v0.5.2
  [510215fc] Observables v0.5.5
  [6fe1bfb0] OffsetArrays v1.17.0
  [52e1d378] OpenEXR v0.3.3
  [bca83a33] OptimizationBase v5.6.1
  [bac558e1] OrderedCollections v2.0.1
⌃ [bbf590c4] OrdinaryDiffEqCore v4.17.2
  [b1df2697] OrdinaryDiffEqTsit5 v2.1.4
  [90014a1f] PDMats v0.11.41
  [f57f5aa1] PNGFiles v0.4.5
  [19eb6ba3] Packing v0.5.1
  [5432bcbf] PaddedViews v0.5.12
⌅ [69de0a69] Parsers v2.8.8
  [eebad327] PkgVersion v0.3.3
  [995b91a9] PlotUtils v1.4.4
  [e409e4f3] PoissonRandom v0.4.13
  [647866c9] PolygonOps v0.1.2
  [d236fae5] PreallocationTools v1.7.1
⌅ [aea7be01] PrecompileTools v1.2.1
  [21216c6a] Preferences v1.6.0
  [08abe8d2] PrettyTables v3.4.8
  [27ebfcd6] Primes v0.5.7
  [92933f4c] ProgressMeter v1.11.0
  [43287f4e] PtrArrays v1.4.0
  [0c0d3e7f] PureKLU v1.5.0
  [4b34888f] QOI v1.0.2
  [1fd47b50] QuadGK v2.11.3
  [8a4e6c94] QuasiMonteCarlo v0.4.4
  [b3c3ace0] RangeArrays v0.3.2
  [c84ed2f1] Ratios v0.4.5
  [3cdcf5f2] RecipesBase v1.3.4
  [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 v0.5.26
  [fdea26ae] SIMD v3.7.2
  [0bca4576] SciMLBase v3.54.0
  [31c91b34] SciMLBenchmarks v0.2.1
  [19f34311] SciMLJacobianOperators v0.1.19
  [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
  [73760f76] SignedDistanceFields v0.4.1
  [727e6d20] SimpleNonlinearSolve v2.14.5
  [699a6c99] SimpleTraits v0.9.6
  [45858cf5] Sixel v0.1.5
  [ed01d8cd] Sobol v1.5.0
  [a2af1166] SortingAlgorithms v1.2.3
  [a57abbd0] SparseColumnPivotedQR v2.1.8
  [9f842d2f] SparseConnectivityTracer v1.2.3
  [0a514795] SparseMatrixColorings v0.4.28
  [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 v1.29.0
  [44d3d7a6] Weave v0.10.12
  [e3aaa7dc] WebP v0.1.3
  [efce3f68] WoodburyMatrices v1.1.0
  [ddb6d928] YAML v0.4.16
  [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
⌅ [5ae413db] EarCut_jll v2.2.4+0
  [2e619515] Expat_jll v2.8.4+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
⌅ [b0724c58] GettextRuntime_jll v0.22.4+0
  [61579ee1] Ghostscript_jll v9.55.1+0
⌅ [59f7168a] Giflib_jll v5.2.3+0
  [7746bdde] Glib_jll v2.88.3+0
  [3b182d85] Graphite2_jll v1.3.16+0
  [2e76f6c2] HarfBuzz_jll v100.14004.0+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 v4.2.0+0
  [1d63c593] LLVMOpenMP_jll v23.1.1+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 v3.4.15+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
  [f50d1b31] Rmath_jll v0.5.2+0
  [ffd25f8a] XZ_jll v5.8.4+0
  [4f6342f7] Xorg_libX11_jll v1.8.13+0
  [0c0b7dd1] Xorg_libXau_jll v1.0.13+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
  [ea2f1a96] Xorg_libXrender_jll v0.9.12+0
  [a65dc6b1] Xorg_libpciaccess_jll v0.19.0+0
  [c7cfdc94] Xorg_libxcb_jll v1.17.1+0
  [c5fb5394] Xorg_xtrans_jll v1.6.0+0
  [3161d3a3] Zstd_jll v1.5.7+1
  [9a68df92] isoband_jll v0.2.3+0
  [a4ae2306] libaom_jll v3.14.1+0
  [0ac62f75] libass_jll v0.17.5+0
  [8e53e030] libdrm_jll v2.4.134+0
  [f638f0a6] libfdk_aac_jll v2.0.4+0
  [b53b4c65] libpng_jll v1.6.58+0
  [075b6546] libsixel_jll v1.10.5+0
  [9a156e7d] libva_jll v2.23.0+0
  [f27f6e37] libvorbis_jll v1.3.8+0
  [c5f90fcd] libwebp_jll v1.6.0+0
  [1317d2d5] oneTBB_jll v2022.3.0+0
⌅ [1270edf5] x264_jll v10164.0.1+0
  [dfaa095f] x265_jll v4.1.0+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
  [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`