CUTEst Quadratic Optimization.jl Benchmarks
This benchmark runs quadratic programs from the CUTEst test set through the Optimization.jl interface using OptimizationNLPModels. The candidate pool is CUTEst.select_sif_problems(objtype = "quadratic", contype = "linear"), i.e. problems whose MASTSIF classification has a quadratic objective and linear constraints. No filter is applied on variable bounds or on the equality/inequality mix of the constraints.
All four CUTEst pages in this folder share the harness in cutest_benchmark_utils.jl, which defines the selection constants, the solver constructors, the run loop, and the summary and plotting helpers. The prose below describes the harness as it stands; refinements to the solver sets, solution-quality metrics, performance profiles, problem selection, and timing methodology are tracked in SciMLBenchmarks#1857.
Setup
ENV["GKSwstype"] = "100"
using CUTEst
using DataFrames
using Plots
using StatsPlots
using StatsBase: countmap
using Statistics
using Printf
include(joinpath(isdefined(Main, :WEAVE_ARGS) ? WEAVE_ARGS[:folder] : @__DIR__,
"cutest_benchmark_utils.jl"))plot_work_precision (generic function with 1 method)Problem selection
select_safe_problems sorts candidate names, filters the measured skip map and size limits, then selects up to MAX_PROBLEMS_PER_CATEGORY across the 1–10, 11–100, and 101–MAX_NVAR variable buckets. It samples each name-sorted bucket evenly, redistributing quotas when a bucket has fewer candidates. Size strata come from CUTEst's public selection filters. The selected and eligible counts are printed per bucket.
println("MAX_PROBLEMS_PER_CATEGORY = ", MAX_PROBLEMS_PER_CATEGORY)
println("MAX_NVAR = ", MAX_NVAR)
println("MAX_NCON = ", MAX_NCON)
println("SOLVE_MAXITERS = ", SOLVE_MAXITERS)
println("SOLVE_TIMEOUT_SECONDS = ", SOLVE_TIMEOUT_SECONDS)
println("KNOWN_BAD_PROBLEMS = ", join(sort(collect(keys(KNOWN_BAD_PROBLEMS))), ", "))
quadratic_linear_problems = select_safe_problems(
collect(CUTEst.select_sif_problems(objtype = "quadratic", contype = "linear",
max_var = MAX_NVAR, max_con = MAX_NCON))
)
println("Selected quadratic problems with linear constraints: ",
length(quadratic_linear_problems))
println(join(quadratic_linear_problems, ", "))MAX_PROBLEMS_PER_CATEGORY = 50
MAX_NVAR = 1000
MAX_NCON = 1000
SOLVE_MAXITERS = 1000
SOLVE_TIMEOUT_SECONDS = 90.0
KNOWN_BAD_PROBLEMS =
Selected 50 of 58 eligible problems (selected/eligible per bucket): 1-10 va
rs: 20/26, 11-100 vars: 10/10, 101-1000 vars: 20/22
Selected quadratic problems with linear constraints: 50
AVGASA, AVGASB, DEGENQP, DUALC1, DUALC2, DUALC8, GENHS28, HATFLDH, HS268, H
S35, HS35I, HS35MOD, HS44NEW, HS51, HS52, HS76, HS76I, PORTSNQP, TAME, ZECE
VIC2, CVXQP1, DUAL1, DUAL2, DUAL4, GOULDQP1, HS118, LOTSCHD, NASH, QPCBLEND
, QPNBLEND, CLEUVEN7, DUAL3, GMNCASE1, GMNCASE4, HIE1372D, PRIMAL1, PRIMAL2
, PRIMAL3, PRIMALC1, PRIMALC2, PRIMALC5, PRIMALC8, QPCBOEI1, QPCBOEI2, QPCS
TAIR, QPNBOEI2, QPNSTAIR, STATIC3, TABLE7, TARGUSSolvers
CONSTRAINED_SOLVERS currently contains only Ipopt, run through OptimizationMOI. It is the only optimizer wired into the harness that accepts general equality and inequality constraints via Optimization.jl; the Optim.jl algorithms on the unconstrained page do not. Ipopt is configured with max_iter = SOLVE_MAXITERS, max_wall_time = SOLVE_TIMEOUT_SECONDS, tol = 1.0e-6, print_level = 0, and hessian_approximation = "limited-memory". The limited-memory setting is used because OptimizationNLPModels supplies the objective gradient and Hessian and the constraint values and Jacobian from the CUTEst model, but not the constraint Hessians needed for an exact Hessian of the Lagrangian. The same iteration and time limits are also passed to solve as maxiters and maxtime. Ipopt treats these problems as general nonlinear programs; no QP-specific solver is used yet. Adding further constrained backends and an exact-Hessian Ipopt variant is item 1 of #1857.
Run
Each (problem, solver) pair is solved once by run_single_solve. A row records the return code as reported by Optimization.jl and a status of OK when solve returned, FAILED when it threw, or LOAD_FAILED when the CUTEst problem could not be constructed. The reported time is sol.stats.time when the solver provides a finite, non-negative value, and otherwise the wall-clock time measured around problem construction and solve together. run_benchmarks errors if a category yields no OK rows, so a broken environment fails the build instead of producing an empty page.
quadratic_results = run_benchmarks(
"quadratic linear",
quadratic_linear_problems,
CONSTRAINED_SOLVERS,
)
display(quadratic_results)Warming up solvers (JIT), results are not benchmarked:
Ipopt HS35
***************************************************************************
***
This program contains Ipopt, a library for large-scale nonlinear optimizati
on.
Ipopt is released as open source code under the Eclipse Public License (EP
L).
For more information visit https://github.com/coin-or/Ipopt
***************************************************************************
***
OK Success first 19.967s compile 19.947s clean 0.011s (total 22.883s)
MadNLP HS35 OK Success first 18.912s comp
ile 18.842s clean 0.064s (total 19.348s)
NLopt-SLSQP HS35 CUTEst solve skipped for HS35
with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x) =
= 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED first 0.000s compile 0.000s clean 0.000s (total 0.272s)
NLopt-AUGLAG-LBFGS HS35 CUTEst solve skipped for HS35
with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 / co
ns(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED first 0.000s compile 0.000s clean 0.000s (total 0.272s)
Running quadratic linear benchmarks
Problems: 50
Solvers: Ipopt, MadNLP, NLopt-SLSQP, NLopt-AUGLAG-LBFGS
Per-solve time cap: 90.0 s
Ipopt AVGASA OK Success 0.017s (first 0.01
9s, compile 0.000s, decode 0.276s)
MadNLP AVGASA OK Success 0.422s (first 0.46
7s, compile 0.000s, decode 0.272s)
NLopt-SLSQP AVGASA CUTEst solve skipped for AVGAS
A with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x)
== 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.271s)
NLopt-AUGLAG-LBFGS AVGASA CUTEst solve skipped for AVGAS
A with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 /
cons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.263s)
Ipopt AVGASB OK Success 0.018s (first 0.02
0s, compile 0.000s, decode 0.271s)
MadNLP AVGASB OK Success 0.361s (first 0.34
5s, compile 0.000s, decode 0.265s)
NLopt-SLSQP AVGASB CUTEst solve skipped for AVGAS
B with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x)
== 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.277s)
NLopt-AUGLAG-LBFGS AVGASB CUTEst solve skipped for AVGAS
B with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 /
cons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.282s)
Ipopt DEGENQP OK Success 0.031s (first 0.04
4s, compile 0.000s, decode 0.277s)
MadNLP DEGENQP OK MaxIters 11.156s (first 11
.226s, compile 0.040s, decode 0.270s)
NLopt-SLSQP DEGENQP CUTEst solve skipped for DEGEN
QP with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x
) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.272s)
NLopt-AUGLAG-LBFGS DEGENQP CUTEst solve skipped for DEGEN
QP with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 /
cons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.267s)
Ipopt DUALC1 OK Success 0.134s (first 0.16
1s, compile 0.000s, decode 0.288s)
MadNLP DUALC1 OK MaxIters 1.904s (first 1.9
21s, compile 0.000s, decode 0.285s)
NLopt-SLSQP DUALC1 CUTEst solve skipped for DUALC
1 with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x)
== 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.293s)
NLopt-AUGLAG-LBFGS DUALC1 CUTEst solve skipped for DUALC
1 with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 /
cons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.280s)
Ipopt DUALC2 OK Success 0.080s (first 0.10
6s, compile 0.000s, decode 0.280s)
MadNLP DUALC2 OK Success 0.115s (first 0.16
3s, compile 0.000s, decode 0.279s)
NLopt-SLSQP DUALC2 CUTEst solve skipped for DUALC
2 with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x)
== 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.285s)
NLopt-AUGLAG-LBFGS DUALC2 CUTEst solve skipped for DUALC
2 with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 /
cons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.292s)
Ipopt DUALC8 OK Success 0.154s (first 0.17
9s, compile 0.000s, decode 0.298s)
MadNLP DUALC8 OK MaxIters 5.749s (first 5.9
02s, compile 0.135s, decode 0.294s)
NLopt-SLSQP DUALC8 CUTEst solve skipped for DUALC
8 with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x)
== 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.303s)
NLopt-AUGLAG-LBFGS DUALC8 CUTEst solve skipped for DUALC
8 with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 /
cons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.295s)
Ipopt GENHS28 OK Success 0.009s (first 0.78
9s, compile 0.776s, decode 0.269s)
MadNLP GENHS28 OK Success 0.005s (first 13.7
54s, compile 13.748s, decode 0.269s)
NLopt-SLSQP GENHS28 OK Success 0.000s (first 2.24
8s, compile 2.221s, decode 0.268s)
NLopt-AUGLAG-LBFGS GENHS28 OK Success 0.003s (first 0.34
0s, compile 0.336s, decode 0.270s)
Ipopt HATFLDH OK Success 0.017s (first 0.02
2s, compile 0.000s, decode 0.259s)
MadNLP HATFLDH OK Success 0.142s (first 0.17
1s, compile 0.000s, decode 0.280s)
NLopt-SLSQP HATFLDH CUTEst solve skipped for HATFL
DH with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x
) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.267s)
NLopt-AUGLAG-LBFGS HATFLDH CUTEst solve skipped for HATFL
DH with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 /
cons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.268s)
Ipopt HS268 OK Success 0.083s (first 0.11
3s, compile 0.000s, decode 0.271s)
MadNLP HS268 OK MaxIters 0.090s (first 0.1
15s, compile 0.000s, decode 0.272s)
NLopt-SLSQP HS268 CUTEst solve skipped for HS268
with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x)
== 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.270s)
NLopt-AUGLAG-LBFGS HS268 CUTEst solve skipped for HS268
with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 / c
ons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.265s)
Ipopt HS35 OK Success 0.015s (first 0.01
6s, compile 0.000s, decode 0.271s)
MadNLP HS35 OK Success 0.064s (first 0.09
0s, compile 0.000s, decode 0.273s)
NLopt-SLSQP HS35 CUTEst solve skipped for HS35
with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x) =
= 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.272s)
NLopt-AUGLAG-LBFGS HS35 CUTEst solve skipped for HS35
with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 / co
ns(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.267s)
Ipopt HS35I OK Success 0.016s (first 0.01
7s, compile 0.000s, decode 0.264s)
MadNLP HS35I OK Success 0.027s (first 0.03
0s, compile 0.000s, decode 0.269s)
NLopt-SLSQP HS35I CUTEst solve skipped for HS35I
with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x)
== 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.274s)
NLopt-AUGLAG-LBFGS HS35I CUTEst solve skipped for HS35I
with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 / c
ons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.274s)
Ipopt HS35MOD OK Success 0.022s (first 0.02
3s, compile 0.000s, decode 0.269s)
MadNLP HS35MOD OK MaxIters 0.360s (first 11.
076s, compile 10.777s, decode 0.280s)
NLopt-SLSQP HS35MOD CUTEst solve skipped for HS35M
OD with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x
) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.274s)
NLopt-AUGLAG-LBFGS HS35MOD CUTEst solve skipped for HS35M
OD with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 /
cons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.275s)
Ipopt HS44NEW OK Success 0.013s (first 0.01
5s, compile 0.000s, decode 0.269s)
MadNLP HS44NEW OK MaxIters 0.701s (first 0.6
47s, compile 0.000s, decode 0.259s)
NLopt-SLSQP HS44NEW CUTEst solve skipped for HS44N
EW with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x
) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.270s)
NLopt-AUGLAG-LBFGS HS44NEW CUTEst solve skipped for HS44N
EW with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 /
cons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.258s)
Ipopt HS51 OK Success 0.008s (first 0.01
0s, compile 0.000s, decode 0.271s)
MadNLP HS51 OK Success 0.002s (first 0.00
3s, compile 0.000s, decode 0.269s)
NLopt-SLSQP HS51 OK Success 0.000s (first 0.00
0s, compile 0.000s, decode 0.274s)
NLopt-AUGLAG-LBFGS HS51 OK Failure 0.002s (first 0.01
2s, compile 0.010s, decode 0.283s)
Ipopt HS52 OK Success 0.010s (first 0.01
2s, compile 0.000s, decode 0.278s)
MadNLP HS52 OK Success 0.029s (first 0.03
2s, compile 0.000s, decode 0.280s)
NLopt-SLSQP HS52 OK Success 0.000s (first 0.00
0s, compile 0.000s, decode 0.276s)
NLopt-AUGLAG-LBFGS HS52 OK Success 0.003s (first 0.00
3s, compile 0.000s, decode 0.268s)
Ipopt HS76 OK Success 0.012s (first 0.01
3s, compile 0.000s, decode 0.263s)
MadNLP HS76 OK Infeasible 0.141s (first 0
.167s, compile 0.000s, decode 0.274s)
NLopt-SLSQP HS76 CUTEst solve skipped for HS76
with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x) =
= 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.275s)
NLopt-AUGLAG-LBFGS HS76 CUTEst solve skipped for HS76
with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 / co
ns(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.274s)
Ipopt HS76I OK Success 0.013s (first 0.01
5s, compile 0.000s, decode 0.266s)
MadNLP HS76I OK Success 0.240s (first 0.27
6s, compile 0.000s, decode 0.266s)
NLopt-SLSQP HS76I CUTEst solve skipped for HS76I
with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x)
== 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.271s)
NLopt-AUGLAG-LBFGS HS76I CUTEst solve skipped for HS76I
with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 / c
ons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.263s)
Ipopt PORTSNQP OK Success 0.015s (first 0.01
8s, compile 0.000s, decode 0.264s)
MadNLP PORTSNQP OK Success 0.029s (first 0.03
0s, compile 0.000s, decode 0.253s)
NLopt-SLSQP PORTSNQP OK Success 0.000s (first 1.71
3s, compile 1.694s, decode 0.241s)
NLopt-AUGLAG-LBFGS PORTSNQP OK MaxIters 0.007s (first 0.3
06s, compile 0.299s, decode 0.257s)
Ipopt TAME OK Success 0.006s (first 0.00
8s, compile 0.000s, decode 0.258s)
MadNLP TAME OK Success 0.001s (first 0.00
2s, compile 0.000s, decode 0.257s)
NLopt-SLSQP TAME OK Success 0.000s (first 0.00
0s, compile 0.000s, decode 0.254s)
NLopt-AUGLAG-LBFGS TAME OK Success 0.000s (first 0.00
1s, compile 0.000s, decode 0.262s)
Ipopt ZECEVIC2 OK Success 0.012s (first 0.01
2s, compile 0.000s, decode 0.261s)
MadNLP ZECEVIC2 OK MaxIters 0.156s (first 0.1
32s, compile 0.000s, decode 0.272s)
NLopt-SLSQP ZECEVIC2 OK Failure 0.000s (first 0.21
2s, compile 0.211s, decode 0.267s)
NLopt-AUGLAG-LBFGS ZECEVIC2 OK Failure 0.000s (first 0.00
0s, compile 0.000s, decode 0.259s)
Ipopt CVXQP1 OK Success 0.047s (first 0.07
1s, compile 0.000s, decode 0.264s)
MadNLP CVXQP1 OK Success 0.244s (first 0.26
6s, compile 0.000s, decode 0.261s)
NLopt-SLSQP CVXQP1 OK Success 0.117s (first 0.10
0s, compile 0.000s, decode 0.266s)
NLopt-AUGLAG-LBFGS CVXQP1 OK MaxIters 0.095s (first 0.1
38s, compile 0.000s, decode 0.265s)
Ipopt DUAL1 OK Success 0.570s (first 0.61
1s, compile 0.000s, decode 0.331s)
MadNLP DUAL1 OK Success 0.810s (first 0.86
7s, compile 0.000s, decode 0.331s)
NLopt-SLSQP DUAL1 OK Success 0.151s (first 0.17
1s, compile 0.000s, decode 0.329s)
NLopt-AUGLAG-LBFGS DUAL1 OK Failure 0.046s (first 0.06
6s, compile 0.000s, decode 0.327s)
Ipopt DUAL2 OK Success 0.200s (first 0.22
6s, compile 0.000s, decode 0.339s)
MadNLP DUAL2 OK Infeasible 0.438s (first 0
.422s, compile 0.000s, decode 0.334s)
NLopt-SLSQP DUAL2 OK Success 0.252s (first 0.27
1s, compile 0.000s, decode 0.342s)
NLopt-AUGLAG-LBFGS DUAL2 OK Success 0.036s (first 0.03
7s, compile 0.000s, decode 0.345s)
Ipopt DUAL4 OK Success 0.063s (first 0.07
4s, compile 0.000s, decode 0.308s)
MadNLP DUAL4 OK Success 0.327s (first 0.32
5s, compile 0.000s, decode 0.320s)
NLopt-SLSQP DUAL4 OK Success 0.121s (first 0.14
4s, compile 0.000s, decode 0.321s)
NLopt-AUGLAG-LBFGS DUAL4 OK Failure 0.002s (first 0.00
2s, compile 0.000s, decode 0.317s)
Ipopt GOULDQP1 OK Success 0.028s (first 0.03
8s, compile 0.000s, decode 0.265s)
MadNLP GOULDQP1 OK Success 0.040s (first 0.05
9s, compile 0.000s, decode 0.268s)
NLopt-SLSQP GOULDQP1 OK Success 0.004s (first 0.00
5s, compile 0.000s, decode 0.268s)
NLopt-AUGLAG-LBFGS GOULDQP1 OK Success 0.018s (first 0.01
9s, compile 0.000s, decode 0.262s)
Ipopt HS118 OK Success 0.021s (first 0.02
2s, compile 0.000s, decode 0.268s)
MadNLP HS118 OK Infeasible 0.343s (first 0
.335s, compile 0.000s, decode 0.263s)
NLopt-SLSQP HS118 CUTEst solve skipped for HS118
with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(x)
== 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.267s)
NLopt-AUGLAG-LBFGS HS118 CUTEst solve skipped for HS118
with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0 / c
ons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.267s)
Ipopt LOTSCHD OK Success 0.020s (first 0.02
3s, compile 0.000s, decode 0.263s)
MadNLP LOTSCHD OK Success 0.028s (first 0.03
0s, compile 0.000s, decode 0.259s)
NLopt-SLSQP LOTSCHD OK Success 0.000s (first 0.00
1s, compile 0.000s, decode 0.258s)
NLopt-AUGLAG-LBFGS LOTSCHD OK Success 0.012s (first 0.01
3s, compile 0.000s, decode 0.253s)
Ipopt NASH OK Infeasible 0.041s (first 0
.061s, compile 0.000s, decode 0.271s)
MadNLP NASH OK MaxIters 0.201s (first 0.3
56s, compile 0.070s, decode 0.266s)
NLopt-SLSQP NASH OK Success 0.025s (first 0.02
5s, compile 0.000s, decode 0.266s)
NLopt-AUGLAG-LBFGS NASH OK Failure 0.013s (first 0.08
3s, compile 0.000s, decode 0.270s)
Ipopt QPCBLEND OK Success 0.067s (first 0.09
4s, compile 0.000s, decode 0.274s)
MadNLP QPCBLEND OK Success 0.689s (first 0.57
6s, compile 0.000s, decode 0.275s)
NLopt-SLSQP QPCBLEND OK Success 0.024s (first 0.36
2s, compile 0.324s, decode 0.277s)
NLopt-AUGLAG-LBFGS QPCBLEND OK MaxIters 0.150s (first 0.3
24s, compile 0.000s, decode 0.279s)
Ipopt QPNBLEND OK Success 0.096s (first 0.11
2s, compile 0.000s, decode 0.271s)
MadNLP QPNBLEND OK Success 0.312s (first 0.36
5s, compile 0.000s, decode 0.276s)
NLopt-SLSQP QPNBLEND OK Success 0.030s (first 0.04
0s, compile 0.000s, decode 0.277s)
NLopt-AUGLAG-LBFGS QPNBLEND OK MaxIters 0.154s (first 0.1
87s, compile 0.000s, decode 0.272s)
Ipopt CLEUVEN7 [rerun skipped: first run end
ed with MaxTime] OK MaxTime 91.558s (first 91.558s, compile 0.000s, decode
0.500s)
MadNLP CLEUVEN7 [rerun skipped: first run end
ed with MaxTime] OK MaxTime 90.219s (first 90.219s, compile 0.000s, decode
0.473s)
NLopt-SLSQP CLEUVEN7 OK Failure 0.000s (first 0.00
2s, compile 0.000s, decode 0.477s)
NLopt-AUGLAG-LBFGS CLEUVEN7 OK Failure 0.003s (first 0.00
3s, compile 0.000s, decode 0.490s)
Ipopt DUAL3 OK Success 0.108s (first 0.13
1s, compile 0.000s, decode 0.358s)
MadNLP DUAL3 OK Success 0.511s (first 0.49
7s, compile 0.000s, decode 0.362s)
NLopt-SLSQP DUAL3 OK Success 0.515s (first 0.53
1s, compile 0.000s, decode 0.362s)
NLopt-AUGLAG-LBFGS DUAL3 OK Failure 0.003s (first 0.00
4s, compile 0.000s, decode 0.363s)
Ipopt GMNCASE1 OK Success 1.357s (first 1.37
8s, compile 0.000s, decode 0.492s)
MadNLP GMNCASE1 OK MaxIters 39.678s (first 39
.400s, compile 0.000s, decode 0.485s)
NLopt-SLSQP GMNCASE1 OK Success 0.506s (first 1.09
1s, compile 0.503s, decode 0.487s)
NLopt-AUGLAG-LBFGS GMNCASE1 OK MaxIters 1.345s (first 1.5
01s, compile 0.000s, decode 0.491s)
Ipopt GMNCASE4 OK Success 0.284s (first 0.20
6s, compile 0.000s, decode 0.505s)
MadNLP GMNCASE4 OK Success 2.228s (first 2.01
1s, compile 0.000s, decode 0.510s)
NLopt-SLSQP GMNCASE4 OK Success 0.132s (first 0.13
3s, compile 0.000s, decode 0.538s)
NLopt-AUGLAG-LBFGS GMNCASE4 OK Success 1.488s (first 1.56
1s, compile 0.000s, decode 0.505s)
Ipopt HIE1372D [rerun skipped: first run end
ed with MaxTime] OK MaxTime 91.383s (first 91.383s, compile 0.000s, decode
0.292s)
MadNLP HIE1372D [rerun skipped: first run end
ed with MaxTime] OK MaxTime 90.037s (first 90.037s, compile 0.000s, decode
0.290s)
NLopt-SLSQP HIE1372D OK Failure 0.001s (first 0.00
3s, compile 0.000s, decode 0.292s)
NLopt-AUGLAG-LBFGS HIE1372D OK Failure 0.003s (first 0.00
4s, compile 0.000s, decode 0.275s)
Ipopt PRIMAL1 OK Success 0.222s (first 0.18
7s, compile 0.000s, decode 0.296s)
MadNLP PRIMAL1 OK Success 4.986s (first 5.29
5s, compile 0.000s, decode 0.295s)
NLopt-SLSQP PRIMAL1 OK Success 0.495s (first 0.51
9s, compile 0.000s, decode 0.298s)
NLopt-AUGLAG-LBFGS PRIMAL1 OK Success 0.260s (first 0.30
5s, compile 0.000s, decode 0.289s)
Ipopt PRIMAL2 OK Success 0.526s (first 0.45
5s, compile 0.000s, decode 0.313s)
MadNLP PRIMAL2 OK Success 8.078s (first 8.33
5s, compile 0.000s, decode 0.301s)
NLopt-SLSQP PRIMAL2 OK Success 2.692s (first 2.71
7s, compile 0.000s, decode 0.298s)
NLopt-AUGLAG-LBFGS PRIMAL2 OK Success 0.337s (first 0.36
2s, compile 0.000s, decode 0.310s)
Ipopt PRIMAL3 OK Success 0.539s (first 0.60
8s, compile 0.000s, decode 0.356s)
MadNLP PRIMAL3 OK Success 8.672s (first 9.15
8s, compile 0.000s, decode 0.345s)
NLopt-SLSQP PRIMAL3 OK Success 4.042s (first 4.04
2s, compile 0.000s, decode 0.344s)
NLopt-AUGLAG-LBFGS PRIMAL3 OK Success 0.753s (first 0.82
4s, compile 0.000s, decode 0.373s)
Ipopt PRIMALC1 OK Success 0.282s (first 0.32
1s, compile 0.000s, decode 0.280s)
MadNLP PRIMALC1 OK MaxIters 1.054s (first 1.0
72s, compile 0.000s, decode 0.278s)
NLopt-SLSQP PRIMALC1 OK Success 0.392s (first 0.41
7s, compile 0.000s, decode 0.278s)
NLopt-AUGLAG-LBFGS PRIMALC1 OK Success 0.051s (first 0.04
8s, compile 0.000s, decode 0.280s)
Ipopt PRIMALC2 OK Success 0.090s (first 0.11
8s, compile 0.000s, decode 0.271s)
MadNLP PRIMALC2 OK MaxIters 0.452s (first 0.4
84s, compile 0.000s, decode 0.269s)
NLopt-SLSQP PRIMALC2 OK Success 0.446s (first 0.47
4s, compile 0.000s, decode 0.278s)
NLopt-AUGLAG-LBFGS PRIMALC2 OK Success 0.053s (first 0.07
9s, compile 0.000s, decode 0.281s)
Ipopt PRIMALC5 OK Success 0.176s (first 0.18
8s, compile 0.000s, decode 0.274s)
MadNLP PRIMALC5 OK MaxIters 0.782s (first 1.0
29s, compile 0.000s, decode 0.275s)
NLopt-SLSQP PRIMALC5 OK Success 0.871s (first 0.89
5s, compile 0.000s, decode 0.276s)
NLopt-AUGLAG-LBFGS PRIMALC5 OK Success 0.064s (first 0.06
7s, compile 0.000s, decode 0.275s)
Ipopt PRIMALC8 OK Success 2.179s (first 2.18
2s, compile 0.000s, decode 0.293s)
MadNLP PRIMALC8 OK Infeasible 1.178s (first 1
.148s, compile 0.000s, decode 0.289s)
NLopt-SLSQP PRIMALC8 OK Success 8.157s (first 8.16
6s, compile 0.000s, decode 0.288s)
NLopt-AUGLAG-LBFGS PRIMALC8 OK MaxIters 0.272s (first 0.3
17s, compile 0.000s, decode 0.286s)
Ipopt QPCBOEI1 OK Success 1.992s (first 2.13
2s, compile 0.000s, decode 0.299s)
MadNLP QPCBOEI1 OK Infeasible 62.965s (first
63.409s, compile 0.000s, decode 0.291s)
NLopt-SLSQP QPCBOEI1 CUTEst solve skipped for QPCBO
EI1 with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(
x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.301s)
NLopt-AUGLAG-LBFGS QPCBOEI1 CUTEst solve skipped for QPCBO
EI1 with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0
/ cons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.295s)
Ipopt QPCBOEI2 OK Success 0.438s (first 0.45
1s, compile 0.000s, decode 0.278s)
MadNLP QPCBOEI2 OK Success 0.689s (first 0.95
8s, compile 0.000s, decode 0.272s)
NLopt-SLSQP QPCBOEI2 CUTEst solve skipped for QPCBO
EI2 with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(
x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.279s)
NLopt-AUGLAG-LBFGS QPCBOEI2 CUTEst solve skipped for QPCBO
EI2 with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0
/ cons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.279s)
Ipopt QPCSTAIR OK Success 1.770s (first 1.73
8s, compile 0.000s, decode 0.301s)
MadNLP QPCSTAIR OK Infeasible 21.581s (first
21.705s, compile 0.000s, decode 0.298s)
NLopt-SLSQP QPCSTAIR OK Failure 0.000s (first 0.00
1s, compile 0.000s, decode 0.302s)
NLopt-AUGLAG-LBFGS QPCSTAIR OK Failure 0.001s (first 0.00
1s, compile 0.000s, decode 0.292s)
Ipopt QPNBOEI2 OK Success 0.476s (first 0.49
7s, compile 0.000s, decode 0.283s)
MadNLP QPNBOEI2 OK MaxIters 4.796s (first 5.0
04s, compile 0.000s, decode 0.281s)
NLopt-SLSQP QPNBOEI2 CUTEst solve skipped for QPNBO
EI2 with NLopt-SLSQP: constraint bounds are not of the cons(x) <= 0 / cons(
x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.285s)
NLopt-AUGLAG-LBFGS QPNBOEI2 CUTEst solve skipped for QPNBO
EI2 with NLopt-AUGLAG-LBFGS: constraint bounds are not of the cons(x) <= 0
/ cons(x) == 0 form that OptimizationNLopt passes to NLopt
SKIPPED SKIPPED 0.000s (first 0.000s, compile 0.000s, decode 0.274s)
Ipopt QPNSTAIR OK Success 2.334s (first 2.37
5s, compile 0.000s, decode 0.306s)
MadNLP QPNSTAIR OK Infeasible 33.345s (first
34.056s, compile 0.000s, decode 0.300s)
NLopt-SLSQP QPNSTAIR OK Failure 0.000s (first 0.00
1s, compile 0.000s, decode 0.297s)
NLopt-AUGLAG-LBFGS QPNSTAIR OK Failure 0.000s (first 0.00
1s, compile 0.000s, decode 0.299s)
Ipopt STATIC3 OK Failure 9.279s (first 9.29
2s, compile 0.000s, decode 0.295s)
MadNLP STATIC3 OK MaxIters 6.290s (first 6.5
36s, compile 0.000s, decode 0.296s)
NLopt-SLSQP STATIC3 OK Failure 2.853s (first 2.87
7s, compile 0.000s, decode 0.305s)
NLopt-AUGLAG-LBFGS STATIC3 OK MaxIters 0.332s (first 0.3
74s, compile 0.000s, decode 0.295s)
Ipopt TABLE7 OK MaxIters 73.793s (first 73
.939s, compile 0.000s, decode 0.293s)
MadNLP TABLE7 OK MaxIters 53.619s (first 54
.394s, compile 0.000s, decode 0.289s)
NLopt-SLSQP TABLE7 OK Failure 0.000s (first 0.00
1s, compile 0.000s, decode 0.290s)
NLopt-AUGLAG-LBFGS TABLE7 OK Failure 0.000s (first 0.00
1s, compile 0.000s, decode 0.288s)
Ipopt TARGUS OK MaxIters 3.393s (first 3.4
66s, compile 0.000s, decode 0.273s)
MadNLP TARGUS OK MaxIters 2.546s (first 2.8
30s, compile 0.000s, decode 0.273s)
NLopt-SLSQP TARGUS OK Failure 0.000s (first 0.00
0s, compile 0.000s, decode 0.270s)
NLopt-AUGLAG-LBFGS TARGUS OK Failure 0.000s (first 0.00
0s, compile 0.000s, decode 0.267s)
quadratic linear: 164/164 attempted rows completed (100.0%); 36 skipped;
status: OK=164, SKIPPED=36
200×19 DataFrame
Row │ category problem solver solver_class
n_ ⋯
│ String String String String
In ⋯
─────┼─────────────────────────────────────────────────────────────────────
─────
1 │ quadratic linear AVGASA Ipopt interior point
⋯
2 │ quadratic linear AVGASA MadNLP interior point
3 │ quadratic linear AVGASA NLopt-SLSQP sequential quadratic
4 │ quadratic linear AVGASA NLopt-AUGLAG-LBFGS augmented Lagrangian
5 │ quadratic linear AVGASB Ipopt interior point
⋯
6 │ quadratic linear AVGASB MadNLP interior point
7 │ quadratic linear AVGASB NLopt-SLSQP sequential quadratic
8 │ quadratic linear AVGASB NLopt-AUGLAG-LBFGS augmented Lagrangian
⋮ │ ⋮ ⋮ ⋮ ⋮
⋱
194 │ quadratic linear TABLE7 MadNLP interior point
⋯
195 │ quadratic linear TABLE7 NLopt-SLSQP sequential quadratic
196 │ quadratic linear TABLE7 NLopt-AUGLAG-LBFGS augmented Lagrangian
197 │ quadratic linear TARGUS Ipopt interior point
198 │ quadratic linear TARGUS MadNLP interior point
⋯
199 │ quadratic linear TARGUS NLopt-SLSQP sequential quadratic
200 │ quadratic linear TARGUS NLopt-AUGLAG-LBFGS augmented Lagrangian
15 columns and 185 rows om
ittedSummary
summarize_results groups rows by category and solver. completion_rate is the share of runs with status == "OK", i.e. the solver returned at all. success_rate is the share of runs whose return code is in SUCCESS_RETCODES (Success, Terminated, FirstOrderOptimal). Runs that stopped at MaxIters or MaxTime count as completed but not successful. median_secs is the median of the per-run time described above over all rows for that category and solver, including unsuccessful ones. No solution-quality metric (objective value, KKT residual, constraint violation) is recorded yet; see #1857.
quadratic_summary = summarize_results(quadratic_results)
plot_solve_times(quadratic_results, "CUTEst quadratic Optimization.jl solve time")
plot_success_rates(quadratic_summary, "CUTEst quadratic Optimization.jl success rate")
plot_compile_times(quadratic_results, "CUTEst quadratic Optimization.jl compile time")
plot_performance_profile(quadratic_results,
"CUTEst quadratic Optimization.jl performance profile")
plot_work_precision(quadratic_results, "CUTEst quadratic Optimization.jl work-precision")Return code distribution:
Success: 106
SKIPPED: 36
MaxIters: 25
Failure: 21
Infeasible: 8
MaxTime: 4
Summary (local convergence-based solvers; success = return code in FirstOrd
erOptimal/Success/Terminated):
4×14 DataFrame
Row │ category solver_class solver complete
d_r ⋯
│ String String String Int64
⋯
─────┼─────────────────────────────────────────────────────────────────────
─────
1 │ quadratic linear augmented Lagrangian NLopt-AUGLAG-LBFGS
⋯
2 │ quadratic linear interior point Ipopt
3 │ quadratic linear interior point MadNLP
4 │ quadratic linear sequential quadratic NLopt-SLSQP
11 columns om
itted




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/OptimizationCUTEst","CUTEst_quadratic.jmd")Computer Information:
Julia Version 1.12.7
Commit 6d172b025e4 (2026-08-15 08:05 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-18.1.7 (ORCJIT, znver2)
GC: Built with stock GC
Threads: 128 default, 1 interactive, 128 GC (on 128 virtual cores)
Environment:
JULIA_NUM_THREADS = auto
Package Information:
Status `/julia/github-runners/amdci1-1/_work/SciMLBenchmarks.jl/SciMLBenchmarks.jl/benchmarks/OptimizationCUTEst/Project.toml`
⌃ [1b53aba6] CUTEst v1.3.7
[a93c6f00] DataFrames v1.8.2
[b6b21f68] Ipopt v1.16.0
[2621e9c9] MadNLP v0.10.1
⌃ [b8f27783] MathOptInterface v1.53.0
[a4795742] NLPModels v0.21.12
[7f7a1694] Optimization v5.9.1
⌃ [fd9f6733] OptimizationMOI v1.4.1
⌃ [5d9c809f] OptimizationMadNLP v2.3.1
⌃ [064b21be] OptimizationNLPModels v1.6.0
⌃ [4e6fcdb7] OptimizationNLopt v0.3.18
⌃ [36348300] OptimizationOptimJL v0.4.21
⌃ [42dfb2eb] OptimizationOptimisers v0.3.24
[91a5bcdd] Plots v1.41.7
[31c91b34] SciMLBenchmarks v0.2.1 [loaded: `/julia/github-runners/amdci1-1/_work/SciMLBenchmarks.jl/SciMLBenchmarks.jl/src/SciMLBenchmarks.jl` (v0.2.1) expected `/home/crackauc/.julia/packages/SciMLBenchmarks/ceJyd/src/SciMLBenchmarks.jl` (v0.2.1)]
[10745b16] Statistics v1.11.5
[2913bbd2] StatsBase v0.34.13
[f3b207a7] StatsPlots v0.15.8
[56ddb016] Logging v1.11.0
[de0858da] Printf v1.11.0
Info Packages marked with ⌃ have new versions available and may be upgradable.And the full manifest:
Status `/julia/github-runners/amdci1-1/_work/SciMLBenchmarks.jl/SciMLBenchmarks.jl/benchmarks/OptimizationCUTEst/Manifest.toml`
[47edcb42] ADTypes v1.24.0
[14f7f29c] AMD v0.5.4
[621f4979] AbstractFFTs v1.5.0
[6e696c72] AbstractPlutoDingetjes v1.4.1
[1520ce14] AbstractTrees v0.4.5
[7d9f7c33] Accessors v0.1.45
⌃ [79e6a3ab] Adapt v4.7.0
[66dad0bd] AliasTables v1.1.3
[ec485272] ArnoldiMethod v0.4.0
[7d9fca2a] Arpack v0.5.4
⌃ [4fba245c] ArrayInterface v7.30.1
⌃ [4c555306] ArrayLayouts v1.12.2
[13072b0f] AxisAlgorithms v1.1.0
⌃ [aae01518] BandedMatrices v1.12.0
[e2ed5e7c] Bijections v0.2.2
[b2a6c25c] BinaryHeaps v1.1.0
[caf10ac8] BipartiteGraphs v0.1.14
⌃ [8e7c35d0] BlockArrays v1.10.0
⌃ [70df07ce] BracketingNonlinearSolve v1.12.7
⌅ [fa961155] CEnum v0.5.0
⌃ [1b53aba6] CUTEst v1.3.7
⌃ [d360d2e6] ChainRulesCore v1.26.1
[aaaa29a8] Clustering v0.15.8
[523fee87] CodecBzip2 v0.8.5
[944b1d66] CodecZlib v0.7.9
[35d6a980] ColorSchemes v3.31.0
⌃ [3da002f7] ColorTypes v0.12.1
[c3611d14] ColorVectorSpace v0.11.0
⌃ [5ae59095] Colors v0.13.1
⌅ [861a8166] Combinatorics v1.0.2
[38540f10] CommonSolve v0.2.14
[bbf7d656] CommonSubexpressions v0.3.1
[f70d9fcc] CommonWorldInvalidations v1.2.2
[34da2185] Compat v4.18.1
[b152e2b5] CompositeTypes v0.1.4
[a33af91c] CompositionsBase v0.1.2
[2569d6c7] ConcreteStructs v0.2.8
[88cd18e8] ConsoleProgressMonitor v0.1.2
[187b0558] ConstructionBase v1.6.0
[d38c429a] Contour v0.6.3
[a8cc5b0e] Crayons v4.2.0
[9a962f9c] DataAPI v1.16.0
[a93c6f00] DataFrames v1.8.2
[864edb3b] DataStructures v0.19.6
[e2d170a0] DataValueInterfaces v1.0.0
[8bb1440f] DelimitedFiles v1.9.1
⌃ [2b5f629d] DiffEqBase v7.21.1
⌃ [459566f4] DiffEqCallbacks v4.19.4
[163ba53b] DiffResults v1.1.0
[b552c78f] DiffRules v1.16.0
[a0c0ee7d] DifferentiationInterface v0.7.21
[b4f34e82] Distances v0.10.12
⌃ [31c24e10] Distributions v0.25.131
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[7c1d4256] DynamicPolynomials v0.6.8
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[b86e33f2] FFTA v0.3.1
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[9aa1b823] FastClosures v0.3.2
⌃ [a4df4552] FastPower v1.5.0
⌃ [1a297f60] FillArrays v1.17.0
⌃ [64ca27bc] FindFirstFunctions v3.2.1
[6a86dc24] FiniteDiff v2.33.0
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[1fa38f19] Format v1.3.7
[f6369f11] ForwardDiff v1.4.6
[a85aefff] FunctionMaps v0.1.2
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[28b8d3ca] GR v0.73.27
[a0844989] Gamma v1.2.0
[86223c79] Graphs v1.15.0
⌅ [eafb193a] Highlights v0.5.3
[34004b35] HypergeometricFunctions v0.3.30
[3263718b] ImplicitDiscreteSolve v2.3.0
[d25df0c9] Inflate v0.1.5
⌅ [842dd82b] InlineStrings v1.4.6
[18e54dd8] IntegerMathUtils v0.1.4
[a98d9a8b] Interpolations v0.16.3
⌃ [8197267c] IntervalSets v0.7.14
⌃ [3587e190] InverseFunctions v0.1.17
[41ab1584] InvertedIndices v1.3.1
[b6b21f68] Ipopt v1.16.0
[92d709cd] IrrationalConstants v0.2.6
[82899510] IteratorInterfaceExtensions v1.0.0
[1019f520] JLFzf v0.1.11
[692b3bcd] JLLWrappers v1.8.0
⌅ [682c06a0] JSON v0.21.4
[ae98c720] Jieko v0.2.1
⌅ [ccbc3e58] JumpProcesses v9.32.3
[5ab0869b] KernelDensity v0.6.12
⌃ [ba0b0d4f] Krylov v0.10.10
[40e66cde] LDLFactorizations v0.10.2
[2faa5264] LHLFactorization v2.2.2
[b964fa9f] LaTeXStrings v1.4.1
[23fbe1c1] Latexify v0.16.12
[1d6d02ad] LeftChildRightSiblingTrees v0.3.0
⌃ [87fe0de2] LineSearch v0.1.18
⌃ [d3d80556] LineSearches v7.8.1
⌃ [5c8ed15e] LinearOperators v2.14.2
⌃ [7ed4a6bd] LinearSolve v5.17.3
⌃ [2ab3a3ac] LogExpFunctions v1.0.1
[e6f89c97] LoggingExtras v1.2.0
[1914dd2f] MacroTools v0.5.16
[2621e9c9] MadNLP v0.10.1
⌃ [b8f27783] MathOptInterface v1.53.0
[bb5d69b7] MaybeInplace v0.1.8
[442fdcdd] Measures v0.3.3
[e1d29d7a] Missings v1.2.0
⌃ [7771a370] ModelingToolkitBase v1.70.0
⌅ [2e0e35c7] Moshi v0.3.9
[46d2c3a1] MuladdMacro v0.2.7
⌃ [102ac46a] MultivariatePolynomials v0.5.19
[6f286f6a] MultivariateStats v0.10.5
⌃ [ffc61752] Mustache v1.0.21 [loaded: v1.1.0]
⌃ [d8a4904e] MutableArithmetics v1.8.0
[a4795742] NLPModels v0.21.12
[d41bc354] NLSolversBase v8.0.1
[76087f3c] NLopt v1.2.1
⌃ [77ba4419] NaNMath v1.1.4
[b8a86587] NearestNeighbors v0.4.29
⌃ [be0214bd] NonlinearSolveBase v2.48.0
⌃ [5959db7a] NonlinearSolveFirstOrder v2.6.1
[510215fc] Observables v0.5.5
[6fe1bfb0] OffsetArrays v1.17.0
⌃ [429524aa] Optim v2.3.1
⌃ [3bd65402] Optimisers v0.4.9
[7f7a1694] Optimization v5.9.1
⌃ [bca83a33] OptimizationBase v5.6.1
⌃ [fd9f6733] OptimizationMOI v1.4.1
⌃ [5d9c809f] OptimizationMadNLP v2.3.1
⌃ [064b21be] OptimizationNLPModels v1.6.0
⌃ [4e6fcdb7] OptimizationNLopt v0.3.18
⌃ [36348300] OptimizationOptimJL v0.4.21
⌃ [42dfb2eb] OptimizationOptimisers v0.3.24
⌃ [bac558e1] OrderedCollections v2.0.1 [loaded: v2.0.3]
⌃ [bbf590c4] OrdinaryDiffEqCore v4.17.2
[90014a1f] PDMats v0.11.41
⌅ [69de0a69] Parsers v2.8.8
[ccf2f8ad] PlotThemes v3.3.0
⌃ [995b91a9] PlotUtils v1.4.4
[91a5bcdd] Plots v1.41.7
⌃ [e409e4f3] PoissonRandom v0.4.13
[2dfb63ee] PooledArrays v1.4.3
[85a6dd25] PositiveFactorizations v0.2.4
[d236fae5] PreallocationTools v1.7.1
[aea7be01] PrecompileTools v1.3.4
⌃ [21216c6a] Preferences v1.6.0 [loaded: v1.6.1]
⌃ [08abe8d2] PrettyTables v3.4.8
[27ebfcd6] Primes v0.5.7
[33c8b6b6] ProgressLogging v0.1.6
⌃ [92933f4c] ProgressMeter v1.11.0
[43287f4e] PtrArrays v1.4.0
⌃ [0c0d3e7f] PureKLU v1.5.0
[1fd47b50] QuadGK v2.11.3
⌅ [be4d8f0f] Quadmath v0.5.13
[c84ed2f1] Ratios v0.4.5
[988b38a3] ReadOnlyArrays v0.2.0
[795d4caa] ReadOnlyDicts v1.0.1
⌃ [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
[9fe22ead] RespecializeParams v1.3.0
[79098fc4] Rmath v0.9.0
⌃ [f2b01f46] Roots v3.0.8
⌃ [7e49a35a] RuntimeGeneratedFunctions v0.5.26
⌃ [9dfe8606] SCCNonlinearSolve v1.15.3
⌃ [0bca4576] SciMLBase v3.54.0
[31c91b34] SciMLBenchmarks v0.2.1 [loaded: `/julia/github-runners/amdci1-1/_work/SciMLBenchmarks.jl/SciMLBenchmarks.jl/src/SciMLBenchmarks.jl` (v0.2.1) expected `/home/crackauc/.julia/packages/SciMLBenchmarks/ceJyd/src/SciMLBenchmarks.jl` (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
[91c51154] SentinelArrays v1.4.10
[efcf1570] Setfield v1.1.2
[992d4aef] Showoff v1.1.1
⌃ [727e6d20] SimpleNonlinearSolve v2.14.5
[699a6c99] SimpleTraits v0.9.6
[ff4d7338] SolverCore v0.3.10
[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
[0c0c59c1] StarAlgebras v0.3.0
⌃ [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
[f3b207a7] StatsPlots v0.15.8
[69024149] StringEncodings v0.3.7
⌅ [892a3eda] StringManipulation v0.5.0
[2efcf032] SymbolicIndexingInterface v0.3.55
⌃ [19f23fe9] SymbolicLimits v1.2.1
⌃ [d1185830] SymbolicUtils v4.46.6
⌃ [0c5d862f] Symbolics v7.39.2
[ab02a1b2] TableOperations v1.2.0
[3783bdb8] TableTraits v1.0.1
[bd369af6] Tables v1.14.0
[ed4db957] TaskLocalValues v0.1.3
[62fd8b95] TensorCore v0.1.1
⌃ [8ea1fca8] TermInterface v2.0.0
[5d786b92] TerminalLoggers v0.1.8
⌅ [a759f4b9] TimerOutputs v0.5.29
[3bb67fe8] TranscodingStreams v0.11.3
[781d530d] TruncatedStacktraces v1.4.0
[3a884ed6] UnPack v1.0.2
[1cfade01] UnicodeFun v0.4.1
[41fe7b60] Unzip v0.2.0
[d30d5f5c] WeakCacheSets v0.1.0
[44d3d7a6] Weave v0.10.12
[cc8bc4a8] Widgets v0.6.8
[efce3f68] WoodburyMatrices v1.1.0
⌃ [ddb6d928] YAML v0.4.16 [loaded: v0.4.17]
[ae81ac8f] ASL_jll v0.1.5+0
⌅ [68821587] Arpack_jll v3.5.2+0
[6e34b625] Bzip2_jll v1.0.9+0
[bb5f6f25] CUTEst_jll v2.7.0+0
⌃ [83423d85] Cairo_jll v1.18.7+0
[ee1fde0b] Dbus_jll v1.16.2+0
[2702e6a9] EpollShim_jll v0.0.20230411+1
⌃ [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
[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
⌃ [7746bdde] Glib_jll v2.88.3+0
[3b182d85] Graphite2_jll v1.3.16+0
⌃ [2e76f6c2] HarfBuzz_jll v100.14004.0+0
⌃ [e33a78d0] Hwloc_jll v2.14.0+0
[1d5cc7b8] IntelOpenMP_jll v2025.2.0+0
⌅ [9cc047cb] Ipopt_jll v300.1400.1902+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
[d00139f3] METIS_jll v5.1.4+0
[856f044c] MKL_jll v2025.2.0+0
[d7ed1dd3] MUMPS_seq_jll v500.900.100+0
[079eb43e] NLopt_jll v2.11.0+0
[e7412a2a] Ogg_jll v1.3.6+0
[656ef2d0] OpenBLAS32_jll v0.3.34+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
[54dcf436] SIFDecode_jll v3.1.1+0
[319450e9] SPRAL_jll v2025.9.18+1
[a44049a8] Vulkan_Loader_jll v1.3.243+0
[a2964d1f] Wayland_jll v1.24.0+0
⌅ [02c8fc9c] XML2_jll v2.13.9+0
[ffd25f8a] XZ_jll v5.8.4+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
[3161d3a3] Zstd_jll v1.5.7+1
[35ca27e7] eudev_jll v3.2.14+0
⌅ [214eeab7] fzf_jll v0.61.1+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
⌃ [9a156e7d] libva_jll v2.23.0+0
[f27f6e37] libvorbis_jll v1.3.8+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
[ade2ca70] Dates v1.11.0
[8ba89e20] Distributed v1.11.0
[f43a241f] Downloads v1.7.0
[7b1f6079] FileWatching v1.11.0
[9fa8497b] Future v1.11.0
[b77e0a4c] InteractiveUtils v1.11.0
[ac6e5ff7] JuliaSyntaxHighlighting v1.12.0
[4af54fe1] LazyArtifacts v1.11.0
[b27032c2] LibCURL v0.6.4
[76f85450] LibGit2 v1.11.0
[8f399da3] Libdl v1.11.0
[37e2e46d] LinearAlgebra v1.12.0
[56ddb016] Logging v1.11.0
[d6f4376e] Markdown v1.11.0
[a63ad114] Mmap v1.11.0
[ca575930] NetworkOptions v1.3.0
[44cfe95a] Pkg v1.12.1
[de0858da] Printf 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 v1.12.0
[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 v1.3.0+1
[deac9b47] LibCURL_jll v8.15.0+0
[e37daf67] LibGit2_jll v1.9.0+0
[29816b5a] LibSSH2_jll v1.11.3+1
[14a3606d] MozillaCACerts_jll v2025.11.4
[4536629a] OpenBLAS_jll v0.3.29+0
[05823500] OpenLibm_jll v0.8.7+0
[458c3c95] OpenSSL_jll v3.5.4+0
[efcefdf7] PCRE2_jll v10.44.0+1
[bea87d4a] SuiteSparse_jll v7.8.3+2
[83775a58] Zlib_jll v1.3.1+2
[8e850b90] libblastrampoline_jll v5.15.0+0
[8e850ede] nghttp2_jll v1.64.0+1
[3f19e933] p7zip_jll v17.7.0+0
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`