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Orbital Dynamics BVP Benchmark

This is a benchmark of a small non-stiff BVP.

using BoundaryValueDiffEq, OrdinaryDiffEq, BenchmarkTools, SciMLBase
using OrdinaryDiffEqLowOrderRK

y0 = [
    -4.7763169762853989E+06,
    -3.8386398704441520E+05,
    -5.3500183933132319E+06,
    -5528.612564911408,
    1216.8442360202787,
    4845.114446429901
]
init_val = [
    -4.7763169762853989E+06,
    -3.8386398704441520E+05,
    -5.3500183933132319E+06,
    7.0526926403748598E+06,
    -7.9650476230388973E+05,
    -1.1911128863666430E+06
]
J2 = 1.08262668E-3
req = 6378137
myu = 398600.4418E+9
t0 = 86400 * 2.3577475462484435E+04
t1 = 86400 * 2.3577522023524125E+04
tspan = (t0, t1)

# ODE solver
function orbital(dy, y, p, t)
    r2 = (y[1]^2 + y[2]^2 + y[3]^2)
    r3 = r2^(3 / 2)
    w = 1 + 1.5J2 * (req * req / r2) * (1 - 5y[3] * y[3] / r2)
    w2 = 1 + 1.5J2 * (req * req / r2) * (3 - 5y[3] * y[3] / r2)
    dy[1] = y[4]
    dy[2] = y[5]
    dy[3] = y[6]
    dy[4] = -myu * y[1] * w / r3
    dy[5] = -myu * y[2] * w / r3
    dy[6] = -myu * y[3] * w2 / r3
end

function bc!_generator(resid, sol, init_val)
    resid[1] = sol.u[1][1] - init_val[1]
    resid[2] = sol.u[1][2] - init_val[2]
    resid[3] = sol.u[1][3] - init_val[3]
    resid[4] = sol.u[end][1] - init_val[4]
    resid[5] = sol.u[end][2] - init_val[5]
    resid[6] = sol.u[end][3] - init_val[6]
end
cur_bc! = (resid, sol, p, t) -> bc!_generator(resid, sol, init_val)
resid_f = Array{Float64}(undef, 6)
bvp = BVProblem(orbital, cur_bc!, y0, tspan; nlls = Val(false))

function validate_solution(sol, tolerance)
    SciMLBase.successful_retcode(sol) || error("solve failed with retcode $(sol.retcode)")
    residual_norm = maximum(abs, sol.resid)
    residual_norm < tolerance ||
        error("boundary residual $residual_norm exceeds tolerance $tolerance")
    return sol
end
validate_solution (generic function with 1 method)
tolerance = 1.0e-6
sol = @btime solve(
    bvp,
    Shooting(DP5());
    force_dtmin = true,
    abstol = $tolerance,
    reltol = $tolerance,
    verbose = false,
    odesolve_kwargs = (
        abstol = $tolerance,
        reltol = $tolerance,
        adaptive = false,
        dt = 10000,
    ),
)
validate_solution(sol, tolerance)
377.697 μs (9165 allocations: 369.95 KiB)
retcode: Success
Interpolation: specialized 4th order "free" interpolation
t: 2-element Vector{Float64}:
 2.037093879958655e9
 2.0370979028324845e9
u: 2-element Vector{Vector{Float64}}:
 [-4.776316976285399e6, -383863.9870444152, -5.350018393313232e6, 1346.5765
43767128, -1125.5339226720698, -6745.8426131734]
 [7.052692640374863e6, -796504.7623038917, -1.1911128863666488e6, 3042.8246
319149207, 294.02721275605234, 3748.344828940438]
dt = (t1 - t0) / 100
sol = @btime solve(
    bvp, MIRK2(); dt = $dt, abstol = $tolerance, reltol = $tolerance, verbose = false
)
validate_solution(sol, tolerance)
213.404 s (42696351 allocations: 2.34 GiB)
retcode: Success
Interpolation: MIRK Order 2 Interpolation
t: 2869-element Vector{Float64}:
 2.037093879958655e9
 2.037093881092944e9
 2.037093882229421e9
 2.0370938833682418e9
 2.037093884509569e9
 2.0370938856533365e9
 2.037093886799388e9
 2.0370938879480207e9
 2.0370938891005075e9
 2.0370938902556746e9
 ⋮
 2.0370978961900442e9
 2.037097897027328e9
 2.0370978978623126e9
 2.0370978986950855e9
 2.0370978995261652e9
 2.0370979003554401e9
 2.0370979011828485e9
 2.0370979020084724e9
 2.0370979028324845e9
u: 2869-element Vector{Vector{Float64}}:
 [-4.776316976285399e6, -383863.9870444152, -5.350018393313232e6, 2365.2157
64957593, -1248.451897588988, -6968.663523611739]
 [-4.773630844018137e6, -385279.82669451594, -5.357919166708396e6, 2371.024
769294159, -1247.9840458442025, -6962.1334301277475]
 [-4.770932929290247e6, -386697.86497253994, -5.365827754398114e6, 2376.831
532551042, -1247.5143866951385, -6955.59255029845]
 [-4.768222838315492e6, -388118.2919172105, -5.373745197387367e6, 2382.6368
02840418, -1247.0428546923356, -6949.040008395509]
 [-4.765500157814733e6, -389541.3055812928, -5.381672578891629e6, 2388.4413
54962405, -1246.5693811415003, -6942.474891357984]
 [-4.762765017093589e6, -390966.8193772521, -5.3896093952566385e6, 2394.244
7998210077, -1246.0939917816802, -6935.897599145854]
 [-4.760017765068089e6, -392394.63367806113, -5.397554515051976e6, 2400.046
292278882, -1245.616750445144, -6929.309053500492]
 [-4.7572576616540495e6, -393825.1146669133, -5.405509955125505e6, 2405.847
2858666464, -1245.1375318096561, -6922.7075652348585]
 [-4.754481608257236e6, -395259.84164411953, -5.413484468500231e6, 2411.654
127685388, -1244.6558016631795, -6916.085845303925]
 [-4.751692390894527e6, -396697.34767195914, -5.421469870976947e6, 2417.460
8218571443, -1244.1720472916688, -6909.450663248918]
 ⋮
 [7.068763557875544e6, -804790.9457631825, -1.2371169004089122e6, -2394.485
203958488, 1244.628428200392, 6921.444822106756]
 [7.066756067110843e6, -803748.5395469515, -1.2313212265412805e6, -2400.760
1967061732, 1245.3424856882307, 6922.543377585465]
 [7.064748854295687e6, -802708.4005336572, -1.2255405540199971e6, -2407.024
17951302, 1246.0545696971678, 6923.635175086323]
 [7.062741745710637e6, -801670.424257388, -1.2197742859390464e6, -2413.2777
680103245, 1246.764754206816, 6924.7203486733915]
 [7.060733523596858e6, -800633.9688487676, -1.2140188428131337e6, -2419.524
8186641616, 1247.4734803901524, 6925.799589090289]
 [7.058724485222651e6, -799599.1771921065, -1.2082750061227484e6, -2425.764
461484628, 1248.180652242442, 6926.872764085778]
 [7.056714809444448e6, -798566.1302486082, -1.2025432125691029e6, -2431.996
1986441454, 1248.8862162659475, 6927.939807615889]
 [7.054704325527013e6, -797534.7291986236, -1.1968229012621522e6, -2438.220
616672966, 1249.5902417700747, 6929.00083954292]
 [7.05269264037486e6, -796504.7623038897, -1.191112886366643e6, -2444.43898
4971133, 1250.2928749111477, 6930.056093515198]
sol = @btime solve(
    bvp, MIRK3(); dt = $dt, abstol = $tolerance, reltol = $tolerance, verbose = false
)
validate_solution(sol, tolerance)
2.756 s (5652717 allocations: 330.99 MiB)
retcode: Success
Interpolation: MIRK Order 3 Interpolation
t: 233-element Vector{Float64}:
 2.037093879958655e9
 2.0370938926485958e9
 2.037093905510086e9
 2.037093918586111e9
 2.0370939318971612e9
 2.0370939454461253e9
 2.0370939592598946e9
 2.0370939733562012e9
 2.0370939876729364e9
 2.0370940022280931e9
 ⋮
 2.03709781944199e9
 2.037097830480513e9
 2.0370978413465805e9
 2.0370978520635812e9
 2.037097862636632e9
 2.0370978728870013e9
 2.037097882997414e9
 2.0370978929778054e9
 2.0370979028324845e9
u: 233-element Vector{Vector{Float64}}:
 [-4.776316976285399e6, -383863.9870444152, -5.350018393313232e6, 2365.2137
147661247, -1248.4509583993934, -6968.661693704244]
 [-4.745893252568844e6, -399673.3416612646, -5.437987180414831e6, 2429.4439
625367895, -1243.1661603374507, -6895.7103521560675]
 [-4.714237305310039e6, -415627.27683806, -5.526202110961897e6, 2492.872345
6293174, -1237.7001330987976, -6822.01517044083]
 [-4.681227968173293e6, -431774.5556109313, -5.614918518374595e6, 2555.6820
77615081, -1232.0355762390734, -6747.353208211722]
 [-4.646792976344478e6, -448135.27996014495, -5.704228595583067e6, 2617.932
2121845216, -1226.1639674605033, -6671.632920974204]
 [-4.610903059663395e6, -464707.46014777524, -5.7941018911434375e6, 2679.59
42351809904, -1220.0843086158575, -6594.864357919974]
 [-4.573463426759711e6, -481518.0279044809, -5.884663109354097e6, 2740.7448
192315496, -1213.7846859226916, -6516.922967046979]
 [-4.534399427150243e6, -498582.0157044077, -5.975969128566639e6, 2801.4104
629676185, -1207.2569099000104, -6437.738479880897]
 [-4.493861717490511e6, -515817.9558842518, -6.067563045311132e6, 2861.2820
56190829, -1200.5303235240615, -6357.688188600966]
 [-4.451782935369204e6, -533241.5227067524, -6.15951029827483e6, 2920.40296
8331565, -1193.5976846722697, -6276.698291882688]
 ⋮
 [7.231126085332679e6, -897802.8892988554, -1.7640765532824856e6, -1844.814
8420970347, 1179.235317162074, 6806.1574055159335]
 [7.210343190493503e6, -884734.0713768186, -1.6888455680943266e6, -1920.867
8396329424, 1188.6225340100548, 6824.383469511167]
 [7.189059825234123e6, -871768.175139776, -1.614596168874347e6, -1996.69140
37720376, 1197.871683236283, 6841.819095756495]
 [7.167256324084939e6, -858881.670474998, -1.541182517649333e6, -2072.42205
4919253, 1207.000852223296, 6858.505254590858]
 [7.144945396924737e6, -846072.3523052502, -1.4685824347239407e6, -2148.072
519004041, 1216.012644411304, 6874.4518822459795]
 [7.122547106887782e6, -833562.9806224143, -1.3980396956008414e6, -2222.317
0071687173, 1224.7529201092614, 6889.40490275803]
 [7.099704640745293e6, -821136.6338080604, -1.3283125422001437e6, -2296.432
204237714, 1233.3757859752377, 6903.646957139801]
 [7.076416617109749e6, -808784.5824031068, -1.2593434122776934e6, -2370.469
0292206647, 1241.8881565333213, 6917.194435539997]
 [7.05269264037486e6, -796504.7623038897, -1.191112886366643e6, -2444.43898
35062657, 1250.2921829679235, 6930.0549651353185]
sol = @btime solve(
    bvp, MIRK4(); dt = $dt, abstol = $tolerance, reltol = $tolerance, verbose = false
)
validate_solution(sol, tolerance)
19.350 s (324926448 allocations: 6.90 GiB)
retcode: Success
Interpolation: MIRK Order 4 Interpolation
t: 68-element Vector{Float64}:
 2.037093879958655e9
 2.0370939211353898e9
 2.0370939643859432e9
 2.0370940098916197e9
 2.0370940573480082e9
 2.03709410589519e9
 2.0370941550442235e9
 2.0370942048692503e9
 2.0370942554527934e9
 2.037094306861084e9
 ⋮
 2.0370976058659034e9
 2.0370976491622484e9
 2.0370976904734344e9
 2.0370977299493968e9
 2.0370977676736157e9
 2.0370978037399838e9
 2.0370978382383072e9
 2.0370978712466276e9
 2.0370979028324845e9
u: 68-element Vector{Vector{Float64}}:
 [-4.776316976285399e6, -383863.9870444152, -5.350018393313232e6, 2365.2140
22902616, -1248.4509996523686, -6968.661852376933]
 [-4.674697449740774e6, -434913.93572821765, -5.632100893517281e6, 2567.734
6992105963, -1230.9191462984993, -6732.829193004134]
 [-4.559357089346176e6, -487733.8980503847, -5.917995256532337e6, 2763.0060
40995371, -1211.4222231347371, -6488.086507265563]
 [-4.429285433370033e6, -542374.5810183156, -6.207449113796503e6, 2950.8407
445520384, -1189.9113944207543, -6234.217983968585]
 [-4.284949488155122e6, -598293.153221941, -6.497103699476797e6, 3129.20263
6154532, -1166.5803136271268, -5973.712387879625]
 [-4.1289495283584557e6, -654332.0469833638, -6.780735892744831e6, 3294.827
6241158014, -1141.938622519585, -5711.891434075345]
 [-3.9632169694460346e6, -709830.6871405244, -7.055056390644289e6, 3446.731
571266186, -1116.34625219815, -5451.740470384059]
 [-3.7879556952171894e6, -764795.0724866007, -7.320224656481693e6, 3585.976
144357298, -1089.8705543662286, -5193.089510765108]
 [-3.603283045999794e6, -819235.4203536477, -7.576377756376593e6, 3713.4913
847921157, -1062.5572685050308, -4935.700809329676]
 [-3.409329336277829e6, -873138.4555747451, -7.823503195172644e6, 3830.0319
29286133, -1034.4468845612319, -4679.404018124424]
 ⋮
 [7.480882305446406e6, -1.1304813459404623e6, -3.1739404580431646e6, -545.3
39107646818, 1000.8730988768131, 6374.364612485565]
 [7.452130451650643e6, -1.0863795564379322e6, -2.895830010717282e6, -784.65
62416556885, 1036.3952580116797, 6471.797226023968]
 [7.414814983932002e6, -1.0428588857494952e6, -2.626620742872109e6, -1023.6
954079216803, 1070.6252317676697, 6560.739096777191]
 [7.36972458879933e6, -999944.6125065739, -2.36602033706402e6, -1262.495840
0228325, 1103.6157416661645, 6641.519323658701]
 [7.317635571688284e6, -957713.2795067065, -2.114086531882406e6, -1500.7607
955854255, 1135.3690154132469, 6714.326056631397]
 [7.259254570853266e6, -916214.5210466888, -1.8707378619484869e6, -1738.291
378356973, 1165.900144114826, 6779.376183730877]
 [7.19523222993472e6, -875487.371336232, -1.6358547230506474e6, -1974.90435
44178476, 1195.2250729058055, 6836.88314028533]
 [7.1261827515647225e6, -835570.884176478, -1.4093389461127087e6, -2210.375
8660627514, 1223.3539557843367, 6887.045446335743]
 [7.05269264037486e6, -796504.7623038897, -1.191112886366643e6, -2444.43955
1865421, 1250.2920988318313, 6930.0541345739575]
sol = @btime solve(
    bvp, MIRK5(); dt = $dt, abstol = $tolerance, reltol = $tolerance, verbose = false
)
validate_solution(sol, tolerance)
442.108 ms (2259045 allocations: 112.57 MiB)
retcode: Success
Interpolation: MIRK Order 5 Interpolation
t: 88-element Vector{Float64}:
 2.037093879958655e9
 2.0370939136446574e9
 2.0370939481470807e9
 2.0370939834919918e9
 2.0370940197033148e9
 2.0370940568032713e9
 2.0370940948125758e9
 2.0370941337505226e9
 2.037094173635026e9
 2.0370942144826384e9
 ⋮
 2.0370976107049067e9
 2.0370976441153162e9
 2.037097678675864e9
 2.037097714285578e9
 2.0370977509030685e9
 2.0370977885592859e9
 2.0370978272003284e9
 2.0370978654557915e9
 2.0370979028324845e9
u: 88-element Vector{Vector{Float64}}:
 [-4.776316976285399e6, -383863.9870444152, -5.350018393313232e6, 2365.2143
16744417, -1248.4510756057423, -6968.662025644531]
 [-4.6937986933300365e6, -425681.1840173558, -5.581507172583521e6, 2532.142
5065667177, -1234.1886865032136, -6775.536539290171]
 [-4.603649253666521e6, -468001.2037442716, -5.811893716183676e6, 2691.6861
204862503, -1218.8605192484208, -6579.598694832778]
 [-4.50578846487733e6, -510794.4778708706, -6.040933139680893e6, 2843.97671
82965397, -1202.5045346506563, -6381.0263395304755]
 [-4.400144215947355e6, -554026.3397869286, -6.268351198558902e6, 2989.1300
610440962, -1185.157036008715, -6179.995369897495]
 [-4.286653543594241e6, -597657.6040816902, -6.493848787975665e6, 3127.2508
586524923, -1166.8527342180323, -5976.677401016266]
 [-4.165263921382996e6, -641644.8466920272, -6.717104570534374e6, 3258.4355
235351204, -1147.624830361397, -5771.238718088191]
 [-4.0359345988899637e6, -685940.5618419136, -6.937776809135364e6, 3382.773
940566373, -1127.5050905326436, -5563.839750373592]
 [-3.8986378992543886e6, -730493.27444866, -7.155504877617032e6, 3500.35069
4960375, -1106.5239021299994, -5354.634737345748]
 [-3.753360443692693e6, -775247.6377384027, -7.369910629764459e6, 3611.2459
447468036, -1084.7103108499352, -5143.771472834813]
 ⋮
 [7.478180013147865e6, -1.125628569763695e6, -3.143068101365767e6, -571.538
7827244713, 1004.8245797454908, 6385.450458051656]
 [7.45601858784458e6, -1.0915996835784905e6, -2.9284646808613795e6, -756.18
23364437871, 1032.2355042241102, 6460.65099424494]
 [7.426481981017956e6, -1.0554317950008397e6, -2.703874656246765e6, -954.32
64392141342, 1060.8179209360997, 6535.773296380474]
 [7.388745935728662e6, -1.0171286400683225e6, -2.4698059792299117e6, -1166.
4869765077958, 1090.4943939316533, 6609.995387607967]
 [7.341902597006622e6, -976635.4129647173, -2.226424140875551e6, -1393.5869
299843291, 1121.2277673049061, 6682.525852287934]
 [7.284872848733755e6, -933815.9918034314, -1.9734512256321174e6, -1637.117
3683884879, 1153.0311185701644, 6752.575910574978]
 [7.216606746437851e6, -888628.3955132796, -1.711222005619276e6, -1898.1666
531774927, 1185.8320397594675, 6819.020176168047]
 [7.138861001415645e6, -842640.83052581, -1.4491963729055466e6, -2168.40310
3666259, 1218.4161733386306, 6878.614457942935]
 [7.05269264037486e6, -796504.7623038897, -1.191112886366643e6, -2444.43930
83656273, 1250.2921524092292, 6930.054461779619]
sol = @btime solve(
    bvp, MIRK6(); dt = $dt, abstol = $tolerance, reltol = $tolerance, verbose = false
)
validate_solution(sol, tolerance)
386.532 ms (2427398 allocations: 112.74 MiB)
retcode: Success
Interpolation: MIRK Order 6 Interpolation
t: 102-element Vector{Float64}:
 2.037093879958655e9
 2.037093919789089e9
 2.037093959619523e9
 2.037093999449957e9
 2.037094039280391e9
 2.0370940791108248e9
 2.037094118941259e9
 2.0370941587716928e9
 2.0370941986021268e9
 2.0370942384325607e9
 ⋮
 2.0370975841890128e9
 2.0370976240194468e9
 2.0370976638498807e9
 2.0370977036803148e9
 2.0370977435107486e9
 2.0370977833411827e9
 2.0370978231716166e9
 2.0370978630020506e9
 2.0370979028324845e9
u: 102-element Vector{Vector{Float64}}:
 [-4.776316976285399e6, -383863.9870444152, -5.350018393313232e6, 2365.2143
08254377, -1248.4510547253133, -6968.662026800079]
 [-4.678150113520943e6, -433256.351225534, -5.623031317602253e6, 2561.37778
70633367, -1231.5092990575074, -6740.498394028997]
 [-4.572477500799231e6, -481954.51035683585, -5.887006427016087e6, 2742.314
6777324005, -1213.619450849351, -6514.898592789235]
 [-4.459880752754734e6, -529923.6974241135, -6.142051363700975e6, 2909.2527
811266705, -1194.928040942382, -6292.125991932322]
 [-4.340894991844244e6, -577134.5379594417, -6.38828269387538e6, 3063.30073
7274816, -1175.5598592279866, -6072.367859694572]
 [-4.216013359595788e6, -623562.2499467575, -6.625823181634678e6, 3205.4599
304766707, -1155.6212799085824, -5855.750731897327]
 [-4.085691062218087e6, -669185.9697628987, -6.85479963655999e6, 3336.63540
36947223, -1135.2030518205236, -5642.35276048613]
 [-3.950349013639071e6, -713988.175668077, -7.0753411807417255e6, 3457.6457
472321704, -1114.382644802096, -5432.213676490608]
 [-3.8103770918017263e6, -757954.2014829094, -7.287577894676042e6, 3569.232
0249245613, -1093.2262217216328, -5225.342799844085]
 [-3.666137070848082e6, -801071.8181425179, -7.491639729010576e6, 3672.0657
71807242, -1071.7903014921376, -5021.725516050468]
 ⋮
 [7.491444380701823e6, -1.1519857837281816e6, -3.311574225611212e6, -429.61
039609970584, 983.2314389905627, 6324.141776507499]
 [7.47008679442232e6, -1.1121772828894344e6, -3.057846948298811e6, -644.330
0331956153, 1015.7215042283959, 6415.704854581804]
 [7.439992206550773e6, -1.0710683108921384e6, -2.800538312231903e6, -868.41
19949475369, 1048.5289395702237, 6503.8988109154125]
 [7.40077648330755e6, -1.0286466124189486e6, -2.539791699132738e6, -1102.42
67719367128, 1081.6332789938676, 6588.250958548389]
 [7.352031954081734e6, -984900.8860138427, -2.275770728726341e6, -1346.9861
100378544, 1115.006903524523, 6668.216277077599]
 [7.293325727174974e6, -939821.097506298, -2.0086623559517844e6, -1602.7449
182138312, 1148.613454556738, 6743.165612450278]
 [7.22419794261178e6, -893398.8675721127, -1.7386805040109907e6, -1870.4026
951723354, 1182.4058931333684, 6812.371774070615]
 [7.144159975935842e6, -845627.9405640081, -1.466070273551918e6, -2150.7042
519927163, 1216.3241315196883, 6874.993162953845]
 [7.05269264037486e6, -796504.7623038897, -1.191112886366643e6, -2444.43930
643876, 1250.292132267868, 6930.054473256705]

Appendix

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","orbital.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
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  [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 v1.19.1
  [1a22d4ce] BoundaryValueDiffEqMIRK v1.18.1
  [9255f1d6] BoundaryValueDiffEqMIRKN v1.17.1
  [ed55bfe0] BoundaryValueDiffEqShooting v1.18.2
  [70df07ce] BracketingNonlinearSolve v1.12.6
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  [13f3f980] CairoMakie v0.15.14
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  [3da002f7] ColorTypes v0.12.1
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  [5ae59095] Colors v0.13.1
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  [38540f10] CommonSolve v0.2.14
  [bbf7d656] CommonSubexpressions v0.3.1
  [34da2185] Compat v4.18.1
  [a33af91c] CompositionsBase v0.1.2
  [95dc2771] ComputePipeline v0.1.8
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⌃ [f3b72e0c] DiffEqDevTools v3.6.1
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⌅ [53c48c17] FixedPointNumbers v0.8.6
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⌅ [eafb193a] Highlights v0.5.3
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  [d1acc4aa] IntervalArithmetic v1.0.11
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  [bb5d69b7] MaybeInplace v0.1.8
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  [9a2c21bd] NonlinearSolveQuasiNewton v1.15.3
  [26075421] NonlinearSolveSpectralMethods v1.8.1
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  [b4bd8bb3] OrdinaryDiffEqRosenbrockTableaus v2.4.2
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⌅ [69de0a69] Parsers v2.8.7
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⌅ [8a4e6c94] QuasiMonteCarlo v0.3.11
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  [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`