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, TARGUS

Solvers

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
itted

Summary

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
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⌃ [2b5f629d] DiffEqBase v7.21.1
⌃ [459566f4] DiffEqCallbacks v4.19.4
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⌃ [a4df4552] FastPower v1.5.0
⌃ [1a297f60] FillArrays v1.17.0
⌃ [64ca27bc] FindFirstFunctions v3.2.1
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⌃ [d9f16b24] Functors v0.5.3
⌃ [46192b85] GPUArraysCore v0.2.0
  [28b8d3ca] GR v0.73.27
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⌅ [eafb193a] Highlights v0.5.3
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  [d25df0c9] Inflate v0.1.5
⌅ [842dd82b] InlineStrings v1.4.6
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  [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
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⌅ [682c06a0] JSON v0.21.4
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⌃ [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
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⌃ [b8f27783] MathOptInterface v1.53.0
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⌅ [2e0e35c7] Moshi v0.3.9
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⌃ [ffc61752] Mustache v1.0.21 [loaded: v1.1.0]
⌃ [d8a4904e] MutableArithmetics v1.8.0
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⌃ [77ba4419] NaNMath v1.1.4
  [b8a86587] NearestNeighbors v0.4.29
⌃ [be0214bd] NonlinearSolveBase v2.48.0
⌃ [5959db7a] NonlinearSolveFirstOrder v2.6.1
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⌃ [429524aa] Optim v2.3.1
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⌃ [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
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⌅ [69de0a69] Parsers v2.8.8
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⌃ [995b91a9] PlotUtils v1.4.4
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⌃ [e409e4f3] PoissonRandom v0.4.13
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⌃ [0c0d3e7f] PureKLU v1.5.0
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⌃ [731186ca] RecursiveArrayTools v4.5.1
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  [ae029012] Requires v1.3.1
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⌃ [f2b01f46] Roots v3.0.8
⌃ [7e49a35a] RuntimeGeneratedFunctions v0.5.26
⌃ [9dfe8606] SCCNonlinearSolve v1.15.3
⌃ [0bca4576] SciMLBase v3.54.0
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⌃ [c0aeaf25] SciMLOperators v1.30.0
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⌃ [727e6d20] SimpleNonlinearSolve v2.14.5
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⌃ [9f842d2f] SparseConnectivityTracer v1.2.3
⌃ [0a514795] SparseMatrixColorings v0.4.28
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⌃ [860ef19b] StableRNGs v1.0.4
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⌃ [90137ffa] StaticArrays v1.9.20
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⌅ [892a3eda] StringManipulation v0.5.0
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⌃ [19f23fe9] SymbolicLimits v1.2.1
⌃ [d1185830] SymbolicUtils v4.46.6
⌃ [0c5d862f] Symbolics v7.39.2
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⌅ [b22a6f82] FFMPEG_jll v8.1.2+0
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⌅ [b0724c58] GettextRuntime_jll v0.22.4+0
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⌃ [7746bdde] Glib_jll v2.88.3+0
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⌃ [2e76f6c2] HarfBuzz_jll v100.14004.0+0
⌃ [e33a78d0] Hwloc_jll v2.14.0+0
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⌅ [9cc047cb] Ipopt_jll v300.1400.1902+0
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⌅ [e9f186c6] Libffi_jll v3.4.7+0
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⌃ [4b2f31a3] Libmount_jll v2.42.0+0
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⌃ [38a345b3] Libuuid_jll v2.42.0+0
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⌃ [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
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⌃ [35661453] Xorg_xkbcomp_jll v1.4.7+0
⌃ [33bec58e] Xorg_xkeyboard_config_jll v2.47.0+2
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⌅ [214eeab7] fzf_jll v0.61.1+0
⌃ [a4ae2306] libaom_jll v3.14.1+0
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⌅ [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
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⌃ [1317d2d5] oneTBB_jll v2022.3.0+0
⌅ [1270edf5] x264_jll v10164.0.1+0
⌅ [dfaa095f] x265_jll v4.1.0+0
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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`