McAte5 alg gives wrong results

[Lightup1]

McAte5 gives wrong results.

MRE:

using DifferentialEquations
using Unitful

function motionfuncDirect1(dv,v,u,p,t)
    # 1:Electron, 2: Be
    ω_1,ω_2,γ,m_1,m_2,η,ω_d=p
    dv[1]=-ω_1^2*u[1]*(1+η*cos(ω_d*t))-γ*u[2]/m_1
    dv[2]=-ω_2^2*u[2]-γ*u[1]/m_2
end

param=[90386.15717208837, 3938.9288690708827, 8560.718748264337, 0.000544617021484666, 8.947079933513658, 0.7596480420227258, 78778.57738141765]

u0_direct=zeros(2) # mm, mm
v0_direct=ustrip.(u"mm/ms",[sqrt(0u"mK"*1u"k"*2/(param[4]*u"mp")),sqrt(10u"K"*1u"k"*2/(param[5]*u"mp"))])

tspan=(0.0, 1.321179076090661)

prob_direct=SecondOrderODEProblem(motionfuncDirect1,v0_direct,u0_direct,tspan,param)
##
dt=0.02u"ns"
sol_McAte5=solve(prob_direct,McAte5(),dt=Float64(ustrip(u"ms",dt)),saveat=0.01)
sol_DPRKNX=solve(prob_direct,DPRKN6(),abstol=1e-8,reltol=1e-8,maxiters=1e7,saveat=0.01)
##
E_2_McAte5=ustrip.(u"K",0.5*param[5]*u"mp"*(sol_McAte5[2,:]*u"mm/ms").^2 * u"1/k")+ustrip.(u"K",0.5*param[5]*u"mp"*(param[2]*1u"kHz")^2*(sol_McAte5[4,:]*u"mm").^2 * u"1/k")

E_2_DPRKNX=ustrip.(u"K",0.5*param[5]*u"mp"*(sol_DPRKNX[2,:]*u"mm/ms").^2 * u"1/k")+ustrip.(u"K",0.5*param[5]*u"mp"*(param[2]*1u"kHz")^2*(sol_DPRKNX[4,:]*u"mm").^2 * u"1/k")
##
using CairoMakie
fig,ax,plot=lines(sol_McAte5.t,E_2_McAte5,color=:red,label="McAte5")
lines!(sol_DPRKNX.t,E_2_DPRKNX,color=:blue,label="DPRKNX")
axislegend(ax,position=:lb)
ax.xlabel="t/ms"
ax.ylabel="E_2/K"
current_figure()

Environment (please complete the following information):

• Output of using Pkg; Pkg.status()

  [6e4b80f9] BenchmarkTools v1.3.2
  [13f3f980] CairoMakie v0.10.12
  [992eb4ea] CondaPkg v0.2.22
  [77a26b50] DiffEqNoiseProcess v5.19.0
  [055956cb] DiffEqPhysics v3.12.0
  [0c46a032] DifferentialEquations v7.11.0
  [7a1cc6ca] FFTW v1.7.1
  [e9467ef8] GLMakie v0.8.12
  [301f09c9] IsotopeTable v0.1.0
  [033835bb] JLD2 v0.4.38
  [ee78f7c6] Makie v0.19.12
  [18c93696] MathLink v0.5.1
  [1d5ea620] MathieuF v0.1.5 `https://github.com/Lightup1/MathieuF.jl.git#master`
  [9663349c] MathieuFunctions v1.2.0
  [eff96d63] Measurements v2.11.0
  [961ee093] ModelingToolkit v8.73.1
  [65888b18] ParameterizedFunctions v5.16.0
  [7b2266bf] PeriodicTable v1.1.4
  [5ad8b20f] PhysicalConstants v0.2.3
  [91a5bcdd] Plots v1.39.0
  [6099a3de] PythonCall v0.9.15
  [6e0679c1] QuantumOptics v1.0.14
  [f2b01f46] Roots v2.0.22
  [276daf66] SpecialFunctions v2.3.1
  [1986cc42] Unitful v1.18.0
  [8ba89e20] Distributed

• Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)

[47edcb42] ADTypes v0.2.5
⌅ [c3fe647b] AbstractAlgebra v0.32.5
  [621f4979] AbstractFFTs v1.5.0
  [398f06c4] AbstractLattices v0.2.1
  [1520ce14] AbstractTrees v0.4.4
  [7d9f7c33] Accessors v0.1.33
  [79e6a3ab] Adapt v3.7.1
  [27a7e980] Animations v0.4.1
  [ec485272] ArnoldiMethod v0.2.0
⌅ [7d9fca2a] Arpack v0.5.3
  [4fba245c] ArrayInterface v7.5.1
  [4c555306] ArrayLayouts v1.4.3
⌅ [67c07d97] Automa v0.8.4
  [13072b0f] AxisAlgorithms v1.0.1
  [39de3d68] AxisArrays v0.4.7
  [aae01518] BandedMatrices v1.2.0
  [6e4b80f9] BenchmarkTools v1.3.2
  [e2ed5e7c] Bijections v0.1.6
  [d1d4a3ce] BitFlags v0.1.8
  [62783981] BitTwiddlingConvenienceFunctions v0.1.5
  [764a87c0] BoundaryValueDiffEq v5.4.0
⌅ [fa961155] CEnum v0.4.2
  [2a0fbf3d] CPUSummary v0.2.4
  [96374032] CRlibm v1.0.1
  [00ebfdb7] CSTParser v3.3.6
  [159f3aea] Cairo v1.0.5
  [13f3f980] CairoMakie v0.10.12
  [49dc2e85] Calculus v0.5.1
  [d360d2e6] ChainRulesCore v1.18.0
  [fb6a15b2] CloseOpenIntervals v0.1.12
  [944b1d66] CodecZlib v0.7.3
  [a2cac450] ColorBrewer v0.4.0
  [35d6a980] ColorSchemes v3.24.0
  [3da002f7] ColorTypes v0.11.4
⌅ [c3611d14] ColorVectorSpace v0.9.10
  [5ae59095] Colors v0.12.10
  [861a8166] Combinatorics v1.0.2
  [a80b9123] CommonMark v0.8.12
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.0
  [34da2185] Compat v4.10.0
  [b152e2b5] CompositeTypes v0.1.3
  [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
  [d38c429a] Contour v0.6.2
  [adafc99b] CpuId v0.3.1
  [a8cc5b0e] Crayons v4.1.1
  [9a962f9c] DataAPI v1.15.0
  [864edb3b] DataStructures v0.18.15
  [e2d170a0] DataValueInterfaces v1.0.0
  [927a84f5] DelaunayTriangulation v0.8.10
  [bcd4f6db] DelayDiffEq v5.43.1
  [8bb1440f] DelimitedFiles v1.9.1
  [2b5f629d] DiffEqBase v6.139.0
  [459566f4] DiffEqCallbacks v2.33.1
  [77a26b50] DiffEqNoiseProcess v5.19.0
  [055956cb] DiffEqPhysics v3.12.0
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [0c46a032] DifferentialEquations v7.11.0
  [b4f34e82] Distances v0.10.10
  [31c24e10] Distributions v0.25.103
  [ffbed154] DocStringExtensions v0.9.3
⌅ [5b8099bc] DomainSets v0.6.7
  [fa6b7ba4] DualNumbers v0.6.8
  [7c1d4256] DynamicPolynomials v0.5.3
  [4e289a0a] EnumX v1.0.4
  [f151be2c] EnzymeCore v0.6.3
  [90fa49ef] ErrorfreeArithmetic v0.5.2
  [429591f6] ExactPredicates v2.2.6
  [460bff9d] ExceptionUnwrapping v0.1.9
  [d4d017d3] ExponentialUtilities v1.25.0
  [e2ba6199] ExprTools v0.1.10
  [411431e0] Extents v0.1.2
  [c87230d0] FFMPEG v0.4.1
  [7a1cc6ca] FFTW v1.7.1
  [7034ab61] FastBroadcast v0.2.8
  [9aa1b823] FastClosures v0.3.2
  [7868e603] FastExpm v1.1.0
⌅ [442a2c76] FastGaussQuadrature v0.5.1
  [29a986be] FastLapackInterface v2.0.0
  [fa42c844] FastRounding v0.3.1
  [5789e2e9] FileIO v1.16.1
  [1a297f60] FillArrays v1.7.0
  [6a86dc24] FiniteDiff v2.21.1
  [53c48c17] FixedPointNumbers v0.8.4
  [59287772] Formatting v0.4.2
  [f6369f11] ForwardDiff v0.10.36
  [b38be410] FreeType v4.1.0
  [663a7486] FreeTypeAbstraction v0.10.0
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [d9f16b24] Functors v0.4.5
  [f7f18e0c] GLFW v3.4.1
  [e9467ef8] GLMakie v0.8.12
  [46192b85] GPUArraysCore v0.1.5
  [28b8d3ca] GR v0.72.10
  [92c85e6c] GSL v1.0.1
  [c145ed77] GenericSchur v0.5.3
  [cf35fbd7] GeoInterface v1.3.2
  [5c1252a2] GeometryBasics v0.4.9
  [c27321d9] Glob v1.3.1
  [a2bd30eb] Graphics v1.1.2
  [86223c79] Graphs v1.9.0
⌅ [3955a311] GridLayoutBase v0.9.2
  [42e2da0e] Grisu v1.0.2
⌅ [0b43b601] Groebner v0.4.4
  [d5909c97] GroupsCore v0.4.0
  [cd3eb016] HTTP v1.10.0
  [f0d1745a] HalfIntegers v1.5.1
  [3e5b6fbb] HostCPUFeatures v0.1.16
  [34004b35] HypergeometricFunctions v0.3.23
  [615f187c] IfElse v0.1.1
  [2803e5a7] ImageAxes v0.6.11
⌃ [c817782e] ImageBase v0.1.5
⌅ [a09fc81d] ImageCore v0.9.4
  [82e4d734] ImageIO v0.6.7
  [bc367c6b] ImageMetadata v0.9.9
  [9b13fd28] IndirectArrays v1.0.0
  [d25df0c9] Inflate v0.1.4
  [18e54dd8] IntegerMathUtils v0.1.2
  [a98d9a8b] Interpolations v0.14.7
  [d1acc4aa] IntervalArithmetic v0.21.2
  [8197267c] IntervalSets v0.7.8
  [3587e190] InverseFunctions v0.1.12
  [92d709cd] IrrationalConstants v0.2.2
  [f1662d9f] Isoband v0.1.1
  [301f09c9] IsotopeTable v0.1.0
  [c8e1da08] IterTools v1.8.0
  [42fd0dbc] IterativeSolvers v0.9.3
  [82899510] IteratorInterfaceExtensions v1.0.0
  [033835bb] JLD2 v0.4.38
  [1019f520] JLFzf v0.1.6
  [692b3bcd] JLLWrappers v1.5.0
  [682c06a0] JSON v0.21.4
  [0f8b85d8] JSON3 v1.13.2
  [b835a17e] JpegTurbo v0.1.4
  [98e50ef6] JuliaFormatter v1.0.42
  [ccbc3e58] JumpProcesses v9.8.0
  [ef3ab10e] KLU v0.4.1
  [5ab0869b] KernelDensity v0.6.7
  [ba0b0d4f] Krylov v0.9.4
  [0b1a1467] KrylovKit v0.6.0
  [8ac3fa9e] LRUCache v1.5.0
  [b964fa9f] LaTeXStrings v1.3.1
  [2ee39098] LabelledArrays v1.14.0
  [984bce1d] LambertW v0.4.6
  [23fbe1c1] Latexify v0.16.1
  [73f95e8e] LatticeRules v0.0.1
  [10f19ff3] LayoutPointers v0.1.15
  [50d2b5c4] Lazy v0.15.1
  [8cdb02fc] LazyModules v0.3.1
  [2d8b4e74] LevyArea v1.0.0
  [9c8b4983] LightXML v0.9.0
  [d3d80556] LineSearches v7.2.0
  [9b3f67b0] LinearAlgebraX v0.1.12
  [7a12625a] LinearMaps v3.11.1
  [7ed4a6bd] LinearSolve v2.20.0
  [2ab3a3ac] LogExpFunctions v0.3.26
  [e6f89c97] LoggingExtras v1.0.3
  [bdcacae8] LoopVectorization v0.12.166
  [d8e11817] MLStyle v0.4.17
  [1914dd2f] MacroTools v0.5.11
  [ee78f7c6] Makie v0.19.12
  [20f20a25] MakieCore v0.6.9
  [d125e4d3] ManualMemory v0.1.8
  [dbb5928d] MappedArrays v0.4.2
  [18c93696] MathLink v0.5.1
  [0a4f8689] MathTeXEngine v0.5.6
  [1d5ea620] MathieuF v0.1.5 `https://github.com/Lightup1/MathieuF.jl.git#master`
  [9663349c] MathieuFunctions v1.2.0
  [739be429] MbedTLS v1.1.8
  [eff96d63] Measurements v2.11.0
  [442fdcdd] Measures v0.3.2
  [7269a6da] MeshIO v0.4.10
  [0b3b1443] MicroMamba v0.1.14
  [e1d29d7a] Missings v1.1.0
  [961ee093] ModelingToolkit v8.73.1
  [66fc600b] ModernGL v1.1.7
  [7475f97c] Mods v1.3.3
  [e94cdb99] MosaicViews v0.3.4
  [46d2c3a1] MuladdMacro v0.2.4
  [3b2b4ff1] Multisets v0.4.4
  [102ac46a] MultivariatePolynomials v0.5.2
  [d8a4904e] MutableArithmetics v1.3.3
  [d41bc354] NLSolversBase v7.8.3
  [2774e3e8] NLsolve v4.5.1
  [77ba4419] NaNMath v1.0.2
  [f09324ee] Netpbm v1.1.1
  [8913a72c] NonlinearSolve v2.8.0
  [510215fc] Observables v0.5.5
  [6fe1bfb0] OffsetArrays v1.12.10
  [52e1d378] OpenEXR v0.3.2
  [4d8831e6] OpenSSL v1.4.1
  [429524aa] Optim v1.7.8
  [bac558e1] OrderedCollections v1.6.2
  [1dea7af3] OrdinaryDiffEq v6.59.1
  [90014a1f] PDMats v0.11.29
  [f57f5aa1] PNGFiles v0.4.1
  [65ce6f38] PackageExtensionCompat v1.0.2
  [19eb6ba3] Packing v0.5.0
  [5432bcbf] PaddedViews v0.5.12
  [65888b18] ParameterizedFunctions v5.16.0
  [d96e819e] Parameters v0.12.3
  [69de0a69] Parsers v2.8.0
  [7b2266bf] PeriodicTable v1.1.4
  [2ae35dd2] Permutations v0.4.18
  [5ad8b20f] PhysicalConstants v0.2.3
  [fa939f87] Pidfile v1.3.0
  [b98c9c47] Pipe v1.3.0
  [eebad327] PkgVersion v0.3.3
  [ccf2f8ad] PlotThemes v3.1.0
  [995b91a9] PlotUtils v1.3.5
  [91a5bcdd] Plots v1.39.0
  [e409e4f3] PoissonRandom v0.4.4
  [f517fe37] Polyester v0.7.9
  [1d0040c9] PolyesterWeave v0.2.1
  [647866c9] PolygonOps v0.1.2
  [f27b6e38] Polynomials v4.0.5
  [85a6dd25] PositiveFactorizations v0.2.4
  [d236fae5] PreallocationTools v0.4.12
  [aea7be01] PrecompileTools v1.2.0
  [21216c6a] Preferences v1.4.1
  [27ebfcd6] Primes v0.5.5
  [92933f4c] ProgressMeter v1.9.0
  [6099a3de] PythonCall v0.9.15
  [4b34888f] QOI v1.0.0
  [1fd47b50] QuadGK v2.9.1
  [5717a53b] QuantumInterface v0.3.3
  [6e0679c1] QuantumOptics v1.0.14
  [4f57444f] QuantumOpticsBase v0.4.18
  [8a4e6c94] QuasiMonteCarlo v0.3.3
  [74087812] Random123 v1.6.1
  [fb686558] RandomExtensions v0.4.4
  [2576dda1] RandomMatrices v0.5.3
  [e6cf234a] RandomNumbers v1.5.3
  [b3c3ace0] RangeArrays v0.3.2
  [308eb6b3] RationalRoots v0.2.0
  [c84ed2f1] Ratios v0.4.5
  [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
  [286e9d63] RingLists v0.2.8
  [79098fc4] Rmath v0.7.1
  [f2b01f46] Roots v2.0.22
  [5eaf0fd0] RoundingEmulator v0.2.1
  [7e49a35a] RuntimeGeneratedFunctions v0.5.12
  [fdea26ae] SIMD v3.4.6
  [94e857df] SIMDTypes v0.1.0
  [476501e8] SLEEFPirates v0.6.42
  [0bca4576] SciMLBase v2.8.1
  [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
  [65257c39] ShaderAbstractions v0.4.0
  [992d4aef] Showoff v1.0.3
  [73760f76] SignedDistanceFields v0.4.0
  [777ac1f9] SimpleBufferStream v1.1.0
  [55797a34] SimpleGraphs v0.8.4
  [727e6d20] SimpleNonlinearSolve v0.1.25
  [ec83eff0] SimplePartitions v0.3.0
  [cc47b68c] SimplePolynomials v0.2.14
  [a6525b86] SimpleRandom v0.3.1
  [699a6c99] SimpleTraits v0.9.4
  [ce78b400] SimpleUnPack v1.1.0
  [45858cf5] Sixel v0.1.3
  [66db9d55] SnoopPrecompile v1.0.3
  [ed01d8cd] Sobol v1.5.0
  [a2af1166] SortingAlgorithms v1.2.0
  [47a9eef4] SparseDiffTools v2.12.0
  [e56a9233] Sparspak v0.3.9
  [276daf66] SpecialFunctions v2.3.1
  [c5dd0088] StableHashTraits v1.1.1
  [cae243ae] StackViews v0.1.1
  [aedffcd0] Static v0.8.8
  [0d7ed370] StaticArrayInterface v1.4.1
  [90137ffa] StaticArrays v1.6.5
  [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 v6.63.2
  [7792a7ef] StrideArraysCore v0.5.1
  [5e0ebb24] Strided v2.0.4
  [4db3bf67] StridedViews v0.2.1
  [09ab397b] StructArrays v0.6.16
  [856f2bd8] StructTypes v1.10.0
  [c3572dad] Sundials v4.20.1
  [2efcf032] SymbolicIndexingInterface v0.2.2
  [d1185830] SymbolicUtils v1.4.0
  [0c5d862f] Symbolics v5.10.0
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.11.1
  [62fd8b95] TensorCore v0.1.1
  [8290d209] ThreadingUtilities v0.5.2
⌅ [731e570b] TiffImages v0.6.8
  [a759f4b9] TimerOutputs v0.5.23
  [0796e94c] Tokenize v0.5.26
⌅ [3bb67fe8] TranscodingStreams v0.9.13
  [a2a6695c] TreeViews v0.3.0
  [d5829a12] TriangularSolve v0.1.20
  [410a4b4d] Tricks v0.1.8
  [981d1d27] TriplotBase v0.1.0
  [781d530d] TruncatedStacktraces v1.4.0
  [9d95972d] TupleTools v1.4.3
  [5c2747f8] URIs v1.5.1
  [3a884ed6] UnPack v1.0.2
  [1cfade01] UnicodeFun v0.4.1
  [1986cc42] Unitful v1.18.0
  [45397f5d] UnitfulLatexify v1.6.3
  [a7c27f48] Unityper v0.1.5
  [c4a57d5a] UnsafeArrays v1.0.5
  [e17b2a0c] UnsafePointers v1.0.0
  [41fe7b60] Unzip v0.2.0
  [3d5dd08c] VectorizationBase v0.21.64
  [19fa3120] VertexSafeGraphs v0.2.0
  [9f57e263] WignerSymbols v2.0.0
  [efce3f68] WoodburyMatrices v0.5.5
⌅ [68821587] Arpack_jll v3.5.1+1
  [6e34b625] Bzip2_jll v1.0.8+0
  [4e9b3aee] CRlibm_jll v1.0.1+0
  [83423d85] Cairo_jll v1.16.1+1
  [5ae413db] EarCut_jll v2.2.4+0
  [2702e6a9] EpollShim_jll v0.0.20230411+0
  [2e619515] Expat_jll v2.5.0+0
  [b22a6f82] FFMPEG_jll v4.4.4+1
  [f5851436] FFTW_jll v3.3.10+0
  [a3f928ae] Fontconfig_jll v2.13.93+0
  [d7e528f0] FreeType2_jll v2.13.1+0
  [559328eb] FriBidi_jll v1.0.10+0
  [0656b61e] GLFW_jll v3.3.8+0
  [d2c73de3] GR_jll v0.72.10+0
  [1b77fbbe] GSL_jll v2.7.2+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
  [905a6f67] Imath_jll v3.1.7+0
  [1d5cc7b8] IntelOpenMP_jll v2023.2.0+0
  [aacddb02] JpegTurbo_jll v2.1.91+0
  [c1c5ebd0] LAME_jll v3.100.1+0
  [88015f11] LERC_jll v3.0.0+1
  [1d63c593] LLVMOpenMP_jll v15.0.4+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 v2023.2.0+0
  [e7412a2a] Ogg_jll v1.3.5+1
  [18a262bb] OpenEXR_jll v3.1.4+0
  [458c3c95] OpenSSL_jll v3.0.12+0
  [efe28fd5] OpenSpecFun_jll v0.5.5+0
  [91d4177d] Opus_jll v1.3.2+0
  [36c8627f] Pango_jll v1.50.14+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 v1.25.0+0
  [02c8fc9c] XML2_jll v2.11.5+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 v0.35.1+0
  [1a1c6b14] gperf_jll v3.1.1+0
  [9a68df92] isoband_jll v0.2.3+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 v1.6.38+0
  [075b6546] libsixel_jll v1.10.3+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
  [8bf52ea8] CRC32c
  [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

• Output of versioninfo()

julia> versioninfo()
Julia Version 1.10.0-rc1
Commit 5aaa948543 (2023-11-03 07:44 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: 16 × 12th Gen Intel(R) Core(TM) i5-12500H
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, alderlake)
  Threads: 1 on 16 virtual cores
Environment:
  JULIA_PKG_SERVER = https://mirrors.pku.edu.cn/julia
  JULIA_EDITOR = code
  JULIA_NUM_THREADS =

[ChrisRackauckas]

Indeed you found a bug. Fixed and better tests added in #2096