run_id string | optimizer string | optimizer_type string | problem string | problem_difficulty string | problem_type string | dimension int64 | optimal_value float64 | optimal_point list | global_optimum list | global_minimum int64 | error_from_known float64 | iterations int64 | function_evaluations int64 | gradient_evaluations int64 | time_elapsed float64 | convergence_rate float64 | stability_score float64 | success bool | converged bool | within_tolerance bool | accuracy_score float64 | efficiency_score float64 | robustness_score float64 | overall_score float64 | convergence_history list | bounds list | constraints_supported list | gradient_required bool | timestamp timestamp[ns] | source string | problem_reference string | optimizer_reference string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
run_0001 | SLSQP | gradient-based | rosenbrock | moderate | unimodal | 2 | 0 | [
1.0001,
1.0001
] | [
1,
1
] | 0 | 0.000141 | 38 | 52 | 41 | 0.106559 | 0.476363 | 0.983663 | true | true | true | 0.999859 | 0.568182 | 0.983663 | 0.850568 | [
0.179835271767937,
0.13590682021250602,
0.155687795610672,
0.132220017196616,
0.12320655498202801,
0.10632766099549601,
0.10958815526028201,
0.08655704267207401,
0.075467973403212,
0.06741188234598501
] | [
[
-5,
10
],
[
-5,
10
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.532927 | openmdao_benchmarking_system_v1.0 | Rosenbrock, H.H. (1960). An automatic method for finding the greatest or least value of a function | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0002 | SLSQP | gradient-based | rosenbrock | moderate | unimodal | 2 | 0 | [
1.0001,
1.0001
] | [
1,
1
] | 0 | 0.000141 | 40 | 49 | 39 | 0.112002 | 0.4513 | 0.959052 | true | true | true | 0.999859 | 0.555556 | 0.959052 | 0.838155 | [
0.5316484818643631,
0.44688986164193906,
0.415541575386688,
0.35203481382650603,
0.316301012091085,
0.326270177299885,
0.283577189647507,
0.249868050679514,
0.21614117504857003,
0.21348309326224602
] | [
[
-5,
10
],
[
-5,
10
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.533039 | openmdao_benchmarking_system_v1.0 | Rosenbrock, H.H. (1960). An automatic method for finding the greatest or least value of a function | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0003 | SLSQP | gradient-based | rosenbrock | moderate | unimodal | 2 | 0 | [
1.0001,
1.0001
] | [
1,
1
] | 0 | 0.000141 | 41 | 48 | 38 | 0.114939 | 0.439661 | 0.975995 | true | true | true | 0.999859 | 0.549451 | 0.975995 | 0.841768 | [
0.363208655794707,
0.34049306451111305,
0.30439246449045604,
0.27939565546800305,
0.24264123255201103,
0.23523232823015003,
0.200904815479013,
0.18095797893585502,
0.16863377585840703,
0.17176007256377201
] | [
[
-5,
10
],
[
-5,
10
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.533112 | openmdao_benchmarking_system_v1.0 | Rosenbrock, H.H. (1960). An automatic method for finding the greatest or least value of a function | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0004 | SLSQP | gradient-based | rosenbrock | moderate | unimodal | 2 | 0 | [
1.0001,
1.0001
] | [
1,
1
] | 0 | 0.000141 | 44 | 52 | 41 | 0.121756 | 0.408375 | 0.968078 | true | true | true | 0.999859 | 0.531915 | 0.968078 | 0.833284 | [
0.34198848211813704,
0.321186126582503,
0.28305234784599204,
0.287693653487118,
0.24097148541601202,
0.226466078087971,
0.20480837602610302,
0.162340113252286,
0.149295869549497,
0.14187151110996601
] | [
[
-5,
10
],
[
-5,
10
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.533180 | openmdao_benchmarking_system_v1.0 | Rosenbrock, H.H. (1960). An automatic method for finding the greatest or least value of a function | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0005 | SLSQP | gradient-based | beale | moderate | unimodal | 2 | 0 | [
3.0001,
0.4999
] | [
3,
0.5
] | 0 | 0.000141 | 25 | 30 | 24 | 0.084661 | 0.781842 | 0.917332 | true | true | true | 0.999859 | 0.666667 | 0.917332 | 0.861286 | [
1.259822089450581,
1.136420882422609,
1.042977976032727,
0.922023414888515,
0.838808439087365,
0.769258623700629,
0.6996160861341171,
0.6180738265987921,
0.562358350073197,
0.521662410751887
] | [
[
-4.5,
4.5
],
[
-4.5,
4.5
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.533268 | openmdao_benchmarking_system_v1.0 | Beale, E.M.L. (1958). On an Iterative Method for Finding a Local Minimum | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0006 | SLSQP | gradient-based | beale | moderate | unimodal | 2 | 0 | [
3.0001,
0.4999
] | [
3,
0.5
] | 0 | 0.000141 | 26 | 34 | 27 | 0.087039 | 0.750705 | 0.934064 | true | true | true | 0.999859 | 0.657895 | 0.934064 | 0.863939 | [
1.00369283147623,
0.9116702305845491,
0.804895055259042,
0.746861992265882,
0.674943304463904,
0.601900867854624,
0.554966748736168,
0.47499634833562604,
0.445796934283029,
0.41070210024123505
] | [
[
-4.5,
4.5
],
[
-4.5,
4.5
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.533332 | openmdao_benchmarking_system_v1.0 | Beale, E.M.L. (1958). On an Iterative Method for Finding a Local Minimum | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0007 | SLSQP | gradient-based | beale | moderate | unimodal | 2 | 0 | [
3.0001,
0.4999
] | [
3,
0.5
] | 0 | 0.000141 | 28 | 34 | 27 | 0.094056 | 0.694315 | 0.935503 | true | true | true | 0.999859 | 0.641026 | 0.935503 | 0.858796 | [
1.091996150414466,
1.011046124033478,
0.9069873230896031,
0.834731370847224,
0.742249172948652,
0.647234324794925,
0.602531706200302,
0.553512391642305,
0.501510769401703,
0.454061984419564
] | [
[
-4.5,
4.5
],
[
-4.5,
4.5
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.533386 | openmdao_benchmarking_system_v1.0 | Beale, E.M.L. (1958). On an Iterative Method for Finding a Local Minimum | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0008 | SLSQP | gradient-based | beale | moderate | unimodal | 2 | 0 | [
3.0001,
0.4999
] | [
3,
0.5
] | 0 | 0.000141 | 29 | 35 | 28 | 0.09715 | 0.669257 | 0.908026 | true | true | true | 0.999859 | 0.632911 | 0.908026 | 0.846932 | [
1.494976444155549,
1.331809881601329,
1.214088250007925,
1.096847779173887,
0.996344802466352,
0.8942475729403141,
0.817145863291557,
0.7412661738782681,
0.6705379447289791,
0.6098245680265311
] | [
[
-4.5,
4.5
],
[
-4.5,
4.5
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.533437 | openmdao_benchmarking_system_v1.0 | Beale, E.M.L. (1958). On an Iterative Method for Finding a Local Minimum | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0009 | SLSQP | gradient-based | booth | easy | unimodal | 2 | 0 | [
1.0002,
2.9998
] | [
1,
3
] | 0 | 0.000283 | 18 | 27 | 21 | 0.060757 | 1.011174 | 0.94429 | true | true | true | 0.999717 | 0.735294 | 0.94429 | 0.8931 | [
0.671373935721435,
0.5956626914033291,
0.5750503458746551,
0.48146194374149903,
0.46434765488404406,
0.421446330338319,
0.37519641093335304,
0.351443759183277,
0.28521681255818904,
0.259951920835266
] | [
[
-10,
10
],
[
-10,
10
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.533478 | openmdao_benchmarking_system_v1.0 | Booth function - Test functions for optimization | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0010 | SLSQP | gradient-based | booth | easy | unimodal | 2 | 0 | [
1.0002,
2.9998
] | [
1,
3
] | 0 | 0.000283 | 16 | 29 | 23 | 0.056633 | 1.141963 | 0.873474 | true | true | true | 0.999717 | 0.757576 | 0.873474 | 0.876922 | [
2.009279471990853,
1.8173675881468951,
1.637123545654755,
1.495273234138927,
1.354699035912987,
1.231493999182578,
1.099274061567109,
1.00212954223191,
0.9120395856411251,
0.8144438618719471
] | [
[
-10,
10
],
[
-10,
10
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.533514 | openmdao_benchmarking_system_v1.0 | Booth function - Test functions for optimization | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0011 | SLSQP | gradient-based | booth | easy | unimodal | 2 | 0 | [
1.0002,
2.9998
] | [
1,
3
] | 0 | 0.000283 | 17 | 26 | 20 | 0.058039 | 1.073347 | 0.925125 | true | true | true | 0.999717 | 0.746269 | 0.925125 | 0.89037 | [
1.104702251661698,
0.99289252357902,
0.8880801578272821,
0.814778958683054,
0.738071963832286,
0.6706903925767961,
0.594866848695032,
0.5295770705220001,
0.48528214793183605,
0.44172556143115804
] | [
[
-10,
10
],
[
-10,
10
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.533556 | openmdao_benchmarking_system_v1.0 | Booth function - Test functions for optimization | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0012 | SLSQP | gradient-based | booth | easy | unimodal | 2 | 0 | [
1.0002,
2.9998
] | [
1,
3
] | 0 | 0.000283 | 18 | 24 | 19 | 0.063181 | 1.009 | 0.803085 | true | true | true | 0.999717 | 0.735294 | 0.803085 | 0.846032 | [
3.529553440578023,
3.178839399281738,
2.890272498710806,
2.625743514255632,
2.373825396040534,
2.133459110495247,
1.9287664814177132,
1.746242616786936,
1.5892137859478912,
1.438199228386723
] | [
[
-10,
10
],
[
-10,
10
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.533595 | openmdao_benchmarking_system_v1.0 | Booth function - Test functions for optimization | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0013 | SLSQP | gradient-based | rastrigin | hard | multimodal | 2 | 0.046762 | [
0.02,
-0.01
] | [
0,
0
] | 0 | 0.022361 | 88 | 102 | 81 | 0.259788 | 0.034803 | 0.995972 | false | false | false | 0.978128 | 0.362319 | 0.995972 | 0.778806 | [
0.060984984391032004,
0.05981347478633701,
0.046761811442548006,
0.059879744872382006,
0.046761811442548006,
0.046761811442548006,
0.054444251471307006,
0.052833668636135006,
0.046761811442548006,
0.056642950774054006
] | [
[
-5.12,
5.12
],
[
-5.12,
5.12
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.533834 | openmdao_benchmarking_system_v1.0 | Rastrigin, L.A. (1974). Systems of extremal control | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0014 | SLSQP | gradient-based | rastrigin | hard | multimodal | 2 | 0.046074 | [
0.02,
-0.01
] | [
0,
0
] | 0 | 0.022361 | 87 | 94 | 75 | 0.255968 | 0.035374 | 0.995021 | false | false | false | 0.978128 | 0.364964 | 0.995021 | 0.779371 | [
0.052698464576269005,
0.049956660103631007,
0.046074309825632,
0.064356923821967,
0.058758532703421004,
0.059000243470852004,
0.046074309825632,
0.048519627558131,
0.053656859068109006,
0.046074309825632
] | [
[
-5.12,
5.12
],
[
-5.12,
5.12
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.533947 | openmdao_benchmarking_system_v1.0 | Rastrigin, L.A. (1974). Systems of extremal control | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0015 | SLSQP | gradient-based | rastrigin | hard | multimodal | 2 | 0.04456 | [
0.02,
-0.01
] | [
0,
0
] | 0 | 0.022361 | 84 | 98 | 78 | 0.247554 | 0.037035 | 0.993052 | false | false | false | 0.978128 | 0.373134 | 0.993052 | 0.781438 | [
0.055764607586010005,
0.05272903327569001,
0.051641359367756004,
0.04455967821028901,
0.057492560484250006,
0.059582520186361,
0.04455967821028901,
0.054550038742052005,
0.060538683772291005,
0.04455967821028901
] | [
[
-5.12,
5.12
],
[
-5.12,
5.12
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.534053 | openmdao_benchmarking_system_v1.0 | Rastrigin, L.A. (1974). Systems of extremal control | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0016 | SLSQP | gradient-based | ackley | hard | multimodal | 2 | 0.248032 | [
0.15,
-0.12
] | [
0,
0
] | 0 | 0.192094 | 100 | 106 | 84 | 0.339188 | 0.013942 | 0.992457 | false | false | false | 0.83886 | 0.333333 | 0.992457 | 0.72155 | [
0.248031542446419,
0.25915209048659205,
0.250935798021761,
0.259406465877209,
0.248031542446419,
0.250502758943336,
0.269760049775402,
0.24872345258445502,
0.251627208451551,
0.255488390725579
] | [
[
-32,
32
],
[
-32,
32
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.534301 | openmdao_benchmarking_system_v1.0 | Ackley, D.H. (1987). A connectionist machine for genetic hillclimbing | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0017 | SLSQP | gradient-based | ackley | hard | multimodal | 2 | 0.234231 | [
0.15,
-0.12
] | [
0,
0
] | 0 | 0.192094 | 95 | 100 | 80 | 0.320316 | 0.015278 | 0.994171 | false | false | false | 0.83886 | 0.344828 | 0.994171 | 0.725953 | [
0.23423105779226702,
0.236739966828262,
0.24496646415565002,
0.23423105779226702,
0.23423105779226702,
0.23423105779226702,
0.250234868794561,
0.23944044736464,
0.24835001586309602,
0.24176185249769702
] | [
[
-32,
32
],
[
-32,
32
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.534414 | openmdao_benchmarking_system_v1.0 | Ackley, D.H. (1987). A connectionist machine for genetic hillclimbing | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0018 | SLSQP | gradient-based | ackley | hard | multimodal | 2 | 0.199706 | [
0.15,
-0.12
] | [
0,
0
] | 0 | 0.192094 | 81 | 93 | 74 | 0.273103 | 0.019888 | 0.992193 | false | false | false | 0.83886 | 0.381679 | 0.992193 | 0.737578 | [
0.20356788853024502,
0.21097344013638303,
0.19970629334682002,
0.20318114821051403,
0.21780560416195202,
0.208391250204146,
0.22256717536265003,
0.215194628575771,
0.19970629334682002,
0.217017667006687
] | [
[
-32,
32
],
[
-32,
32
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.534512 | openmdao_benchmarking_system_v1.0 | Ackley, D.H. (1987). A connectionist machine for genetic hillclimbing | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0019 | SLSQP | gradient-based | ackley | hard | multimodal | 2 | 0.199244 | [
0.15,
-0.12
] | [
0,
0
] | 0 | 0.192094 | 80 | 89 | 71 | 0.27247 | 0.020165 | 0.992762 | false | false | false | 0.83886 | 0.384615 | 0.992762 | 0.738746 | [
0.20463436383643402,
0.212102003906103,
0.200394735312444,
0.20586020615673903,
0.21502782653888902,
0.19924393130290502,
0.20057705214888902,
0.19924393130290502,
0.19924393130290502,
0.21775961433964502
] | [
[
-32,
32
],
[
-32,
32
]
] | [
"equality",
"inequality"
] | true | 2025-08-24T00:22:09.534779 | openmdao_benchmarking_system_v1.0 | Ackley, D.H. (1987). A connectionist machine for genetic hillclimbing | Kraft, D. (1988). A software package for sequential quadratic programming |
run_0020 | COBYLA | derivative-free | rosenbrock | moderate | unimodal | 2 | 11.043645 | [
0.061,
-3.17
] | [
1,
1
] | 0 | 4.274415 | 112 | 118 | 0 | 0.090244 | -0.021445 | 0.994672 | false | false | false | 0.189594 | 0.308642 | 0.994672 | 0.497636 | [
11.050999569282435,
11.043644715022412,
11.043644715022412,
11.054007499580933,
11.045564742620247,
11.051849264128899,
11.043644715022412,
11.050583729009196,
11.043644715022412,
11.05775956375247
] | [
[
-5,
10
],
[
-5,
10
]
] | [
"inequality"
] | false | 2025-08-24T00:22:09.534943 | openmdao_benchmarking_system_v1.0 | Rosenbrock, H.H. (1960). An automatic method for finding the greatest or least value of a function | Powell, M.J.D. (1994). A direct search optimization method |
run_0021 | COBYLA | derivative-free | rosenbrock | moderate | unimodal | 2 | 10.050636 | [
0.061,
-3.17
] | [
1,
1
] | 0 | 4.274415 | 102 | 115 | 0 | 0.08213 | -0.022624 | 0.993859 | false | false | false | 0.189594 | 0.328947 | 0.993859 | 0.504134 | [
10.050636378970106,
10.050636378970106,
10.05740585006819,
10.050636378970106,
10.063219988532776,
10.059582712865197,
10.050636378970106,
10.050636378970106,
10.051263843981058,
10.065942557507176
] | [
[
-5,
10
],
[
-5,
10
]
] | [
"inequality"
] | false | 2025-08-24T00:22:09.535071 | openmdao_benchmarking_system_v1.0 | Rosenbrock, H.H. (1960). An automatic method for finding the greatest or least value of a function | Powell, M.J.D. (1994). A direct search optimization method |
run_0022 | COBYLA | derivative-free | rosenbrock | moderate | unimodal | 2 | 9.535291 | [
0.061,
-3.17
] | [
1,
1
] | 0 | 4.274415 | 97 | 106 | 0 | 0.077919 | -0.023247 | 0.993721 | false | false | false | 0.189594 | 0.340136 | 0.993721 | 0.507817 | [
9.54731840585357,
9.545679411087777,
9.535290531491597,
9.541587594182065,
9.535290531491597,
9.550699420426652,
9.535290531491597,
9.546862082924994,
9.535290531491597,
9.53844928010258
] | [
[
-5,
10
],
[
-5,
10
]
] | [
"inequality"
] | false | 2025-08-24T00:22:09.535189 | openmdao_benchmarking_system_v1.0 | Rosenbrock, H.H. (1960). An automatic method for finding the greatest or least value of a function | Powell, M.J.D. (1994). A direct search optimization method |
run_0023 | COBYLA | derivative-free | beale | moderate | unimodal | 2 | 2.6703 | [
2.85,
0.62
] | [
3,
0.5
] | 0 | 0.192094 | 97 | 107 | 0 | 0.076294 | -0.010126 | 0.994854 | false | false | false | 0.83886 | 0.340136 | 0.994854 | 0.724617 | [
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[
-4.5,
4.5
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] | [
"inequality"
] | false | 2025-08-24T00:22:09.535308 | openmdao_benchmarking_system_v1.0 | Beale, E.M.L. (1958). On an Iterative Method for Finding a Local Minimum | Powell, M.J.D. (1994). A direct search optimization method |
run_0024 | COBYLA | derivative-free | beale | moderate | unimodal | 2 | 2.423458 | [
2.85,
0.62
] | [
3,
0.5
] | 0 | 0.192094 | 88 | 98 | 0 | 0.069242 | -0.010059 | 0.998208 | false | false | false | 0.83886 | 0.362319 | 0.998208 | 0.733129 | [
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[
-4.5,
4.5
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] | [
"inequality"
] | false | 2025-08-24T00:22:09.535415 | openmdao_benchmarking_system_v1.0 | Beale, E.M.L. (1958). On an Iterative Method for Finding a Local Minimum | Powell, M.J.D. (1994). A direct search optimization method |
run_0025 | COBYLA | derivative-free | beale | moderate | unimodal | 2 | 2.264676 | [
2.85,
0.62
] | [
3,
0.5
] | 0 | 0.192094 | 82 | 89 | 0 | 0.064705 | -0.009969 | 0.99137 | false | false | false | 0.83886 | 0.378788 | 0.99137 | 0.736339 | [
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[
-4.5,
4.5
]
] | [
"inequality"
] | false | 2025-08-24T00:22:09.535516 | openmdao_benchmarking_system_v1.0 | Beale, E.M.L. (1958). On an Iterative Method for Finding a Local Minimum | Powell, M.J.D. (1994). A direct search optimization method |
run_0026 | COBYLA | derivative-free | beale | moderate | unimodal | 2 | 2.875551 | [
2.85,
0.62
] | [
3,
0.5
] | 0 | 0.192094 | 104 | 118 | 0 | 0.082159 | -0.010156 | 0.997185 | false | false | false | 0.83886 | 0.324675 | 0.997185 | 0.72024 | [
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4.5
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[
-4.5,
4.5
]
] | [
"inequality"
] | false | 2025-08-24T00:22:09.535638 | openmdao_benchmarking_system_v1.0 | Beale, E.M.L. (1958). On an Iterative Method for Finding a Local Minimum | Powell, M.J.D. (1994). A direct search optimization method |
run_0027 | COBYLA | derivative-free | booth | easy | unimodal | 2 | 0.042245 | [
1.05,
2.95
] | [
1,
3
] | 0 | 0.070711 | 42 | 51 | 0 | 0.037551 | 0.07534 | 0.985529 | false | false | false | 0.933959 | 0.543478 | 0.985529 | 0.820989 | [
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[
-10,
10
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] | [
"inequality"
] | false | 2025-08-24T00:22:09.535701 | openmdao_benchmarking_system_v1.0 | Booth function - Test functions for optimization | Powell, M.J.D. (1994). A direct search optimization method |
run_0028 | COBYLA | derivative-free | booth | easy | unimodal | 2 | 0.045465 | [
1.05,
2.95
] | [
1,
3
] | 0 | 0.070711 | 45 | 58 | 0 | 0.040414 | 0.068685 | 0.987862 | false | false | false | 0.933959 | 0.526316 | 0.987862 | 0.816046 | [
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[
-10,
10
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] | [
"inequality"
] | false | 2025-08-24T00:22:09.535764 | openmdao_benchmarking_system_v1.0 | Booth function - Test functions for optimization | Powell, M.J.D. (1994). A direct search optimization method |
run_0029 | COBYLA | derivative-free | booth | easy | unimodal | 2 | 0.042394 | [
1.05,
2.95
] | [
1,
3
] | 0 | 0.070711 | 42 | 53 | 0 | 0.037683 | 0.075256 | 0.980458 | false | false | false | 0.933959 | 0.543478 | 0.980458 | 0.819299 | [
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0.17949725770872602,
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[
-10,
10
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] | [
"inequality"
] | false | 2025-08-24T00:22:09.535823 | openmdao_benchmarking_system_v1.0 | Booth function - Test functions for optimization | Powell, M.J.D. (1994). A direct search optimization method |
run_0030 | COBYLA | derivative-free | booth | easy | unimodal | 2 | 0.045227 | [
1.05,
2.95
] | [
1,
3
] | 0 | 0.070711 | 45 | 52 | 0 | 0.040201 | 0.068802 | 0.976679 | false | false | false | 0.933959 | 0.526316 | 0.976679 | 0.812318 | [
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[
-10,
10
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] | [
"inequality"
] | false | 2025-08-24T00:22:09.535886 | openmdao_benchmarking_system_v1.0 | Booth function - Test functions for optimization | Powell, M.J.D. (1994). A direct search optimization method |
run_0031 | COBYLA | derivative-free | rastrigin | hard | multimodal | 2 | 3.411129 | [
0.45,
-0.38
] | [
0,
0
] | 0 | 0.588982 | 105 | 114 | 0 | 0.126338 | -0.011686 | 0.996437 | false | false | false | 0.629334 | 0.322581 | 0.996437 | 0.64945 | [
3.411129444288429,
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3.411129444288429,
3.411129444288429,
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] | [
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-5.12,
5.12
],
[
-5.12,
5.12
]
] | [
"inequality"
] | false | 2025-08-24T00:22:09.536010 | openmdao_benchmarking_system_v1.0 | Rastrigin, L.A. (1974). Systems of extremal control | Powell, M.J.D. (1994). A direct search optimization method |
run_0032 | COBYLA | derivative-free | rastrigin | hard | multimodal | 2 | 3.293948 | [
0.45,
-0.38
] | [
0,
0
] | 0 | 0.588982 | 101 | 115 | 0 | 0.121998 | -0.011803 | 0.996503 | false | false | false | 0.629334 | 0.331126 | 0.996503 | 0.652321 | [
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3.302721903416829,
3.293947778554173,
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] | [
[
-5.12,
5.12
],
[
-5.12,
5.12
]
] | [
"inequality"
] | false | 2025-08-24T00:22:09.536128 | openmdao_benchmarking_system_v1.0 | Rastrigin, L.A. (1974). Systems of extremal control | Powell, M.J.D. (1994). A direct search optimization method |
run_0033 | COBYLA | derivative-free | rastrigin | hard | multimodal | 2 | 2.874445 | [
0.45,
-0.38
] | [
0,
0
] | 0 | 0.588982 | 88 | 95 | 0 | 0.106461 | -0.011998 | 0.997852 | false | false | false | 0.629334 | 0.362319 | 0.997852 | 0.663168 | [
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] | [
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],
[
-5.12,
5.12
]
] | [
"inequality"
] | false | 2025-08-24T00:22:09.536233 | openmdao_benchmarking_system_v1.0 | Rastrigin, L.A. (1974). Systems of extremal control | Powell, M.J.D. (1994). A direct search optimization method |
run_0034 | COBYLA | derivative-free | ackley | hard | multimodal | 2 | 1.987873 | [
0.89,
0.67
] | [
0,
0
] | 0 | 1.114002 | 105 | 119 | 0 | 0.157768 | -0.006543 | 0.998659 | false | false | false | 0.473036 | 0.322581 | 0.998659 | 0.598092 | [
2.004342475449299,
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] | [
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-32,
32
],
[
-32,
32
]
] | [
"inequality"
] | false | 2025-08-24T00:22:09.536359 | openmdao_benchmarking_system_v1.0 | Ackley, D.H. (1987). A connectionist machine for genetic hillclimbing | Powell, M.J.D. (1994). A direct search optimization method |
run_0035 | COBYLA | derivative-free | ackley | hard | multimodal | 2 | 1.436081 | [
0.89,
0.67
] | [
0,
0
] | 0 | 1.114002 | 75 | 84 | 0 | 0.113975 | -0.004826 | 0.989537 | false | false | false | 0.473036 | 0.4 | 0.989537 | 0.620858 | [
1.451528213190604,
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1.440633469361149,
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] | [
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[
-32,
32
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] | [
"inequality"
] | false | 2025-08-24T00:22:09.536451 | openmdao_benchmarking_system_v1.0 | Ackley, D.H. (1987). A connectionist machine for genetic hillclimbing | Powell, M.J.D. (1994). A direct search optimization method |
run_0036 | COBYLA | derivative-free | ackley | hard | multimodal | 2 | 1.928141 | [
0.89,
0.67
] | [
0,
0
] | 0 | 1.114002 | 102 | 115 | 0 | 0.153027 | -0.006437 | 0.995557 | false | false | false | 0.473036 | 0.328947 | 0.995557 | 0.59918 | [
1.9281406917067212,
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1.9281406917067212,
1.939246765314179,
1.9281406917067212,
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] | [
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-32,
32
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[
-32,
32
]
] | [
"inequality"
] | false | 2025-08-24T00:22:09.536570 | openmdao_benchmarking_system_v1.0 | Ackley, D.H. (1987). A connectionist machine for genetic hillclimbing | Powell, M.J.D. (1994). A direct search optimization method |
run_0037 | COBYLA | derivative-free | ackley | hard | multimodal | 2 | 1.781869 | [
0.89,
0.67
] | [
0,
0
] | 0 | 1.114002 | 94 | 104 | 0 | 0.141418 | -0.006145 | 1 | false | false | false | 0.473036 | 0.347222 | 1 | 0.606753 | [
1.8024082992015522,
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[
-32,
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[
-32,
32
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] | [
"inequality"
] | false | 2025-08-24T00:22:09.536681 | openmdao_benchmarking_system_v1.0 | Ackley, D.H. (1987). A connectionist machine for genetic hillclimbing | Powell, M.J.D. (1994). A direct search optimization method |
run_0038 | COBYLA | derivative-free | ackley | hard | multimodal | 2 | 1.710106 | [
0.89,
0.67
] | [
0,
0
] | 0 | 1.114002 | 90 | 100 | 0 | 0.135723 | -0.005962 | 0.996656 | false | false | false | 0.473036 | 0.357143 | 0.996656 | 0.608945 | [
1.728022197132057,
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[
-32,
32
]
] | [
"inequality"
] | false | 2025-08-24T00:22:09.536789 | openmdao_benchmarking_system_v1.0 | Ackley, D.H. (1987). A connectionist machine for genetic hillclimbing | Powell, M.J.D. (1994). A direct search optimization method |
run_0039 | L-BFGS-B | gradient-based | rosenbrock | moderate | unimodal | 2 | 0 | [
0.9998,
0.9996
] | [
1,
1
] | 0 | 0.000447 | 33 | 40 | 32 | 0.075449 | 0.46444 | 0.935267 | true | true | true | 0.999553 | 0.60241 | 0.935267 | 0.845743 | [
0.9173166768721751,
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0.46335794298847705,
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] | [
[
-5,
10
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[
-5,
10
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.536859 | openmdao_benchmarking_system_v1.0 | Rosenbrock, H.H. (1960). An automatic method for finding the greatest or least value of a function | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0040 | L-BFGS-B | gradient-based | rosenbrock | moderate | unimodal | 2 | 0 | [
0.9998,
0.9996
] | [
1,
1
] | 0 | 0.000447 | 37 | 43 | 34 | 0.084837 | 0.411061 | 0.954994 | true | true | true | 0.999553 | 0.574713 | 0.954994 | 0.843087 | [
0.6316060843358751,
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0.35079268719890405,
0.30879740132023303,
0.288778003032413,
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] | [
[
-5,
10
],
[
-5,
10
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.536914 | openmdao_benchmarking_system_v1.0 | Rosenbrock, H.H. (1960). An automatic method for finding the greatest or least value of a function | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0041 | L-BFGS-B | gradient-based | rosenbrock | moderate | unimodal | 2 | 0 | [
0.9998,
0.9996
] | [
1,
1
] | 0 | 0.000447 | 32 | 39 | 31 | 0.074685 | 0.479271 | 0.953815 | true | true | true | 0.999553 | 0.609756 | 0.953815 | 0.854375 | [
0.643033262215365,
0.561098356872208,
0.5076089048921201,
0.45135257519646604,
0.41339240656408704,
0.387982918928271,
0.33884981711780804,
0.315779379480674,
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] | [
[
-5,
10
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[
-5,
10
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.536964 | openmdao_benchmarking_system_v1.0 | Rosenbrock, H.H. (1960). An automatic method for finding the greatest or least value of a function | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0042 | L-BFGS-B | gradient-based | beale | moderate | unimodal | 2 | 0.767929 | [
2.89,
0.45
] | [
3,
0.5
] | 0 | 0.12083 | 50 | 55 | 44 | 0.116795 | 0.005281 | 0.986104 | false | false | false | 0.892196 | 0.5 | 0.986104 | 0.792766 | [
0.876354385306612,
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0.8837497250452111,
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0.8407084673857931,
0.8107158291823481,
0.817162296695885,
0.8377070220428621,
0.8062893072360141
] | [
[
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4.5
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[
-4.5,
4.5
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.537039 | openmdao_benchmarking_system_v1.0 | Beale, E.M.L. (1958). On an Iterative Method for Finding a Local Minimum | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0043 | L-BFGS-B | gradient-based | beale | moderate | unimodal | 2 | 0.71156 | [
2.89,
0.45
] | [
3,
0.5
] | 0 | 0.12083 | 46 | 60 | 48 | 0.108222 | 0.007398 | 0.99223 | false | false | false | 0.892196 | 0.520833 | 0.99223 | 0.801753 | [
0.766485896882372,
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0.7528465263261971,
0.7462338575119181,
0.7372682728046811,
0.7477932925499331,
0.731027213836114
] | [
[
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4.5
],
[
-4.5,
4.5
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.537102 | openmdao_benchmarking_system_v1.0 | Beale, E.M.L. (1958). On an Iterative Method for Finding a Local Minimum | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0044 | L-BFGS-B | gradient-based | beale | moderate | unimodal | 2 | 0.695087 | [
2.89,
0.45
] | [
3,
0.5
] | 0 | 0.12083 | 45 | 56 | 44 | 0.105717 | 0.008083 | 0.977013 | false | false | false | 0.892196 | 0.526316 | 0.977013 | 0.798508 | [
0.989611423971486,
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0.8382847975615341,
0.831285675995287,
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] | [
[
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4.5
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[
-4.5,
4.5
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.537164 | openmdao_benchmarking_system_v1.0 | Beale, E.M.L. (1958). On an Iterative Method for Finding a Local Minimum | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0045 | L-BFGS-B | gradient-based | booth | easy | unimodal | 2 | 0 | [
1,
3.0001
] | [
1,
3
] | 0 | 0.0001 | 23 | 31 | 24 | 0.054119 | 0.822127 | 0.926472 | true | true | true | 0.9999 | 0.684932 | 0.926472 | 0.870435 | [
1.183383785633088,
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0.972528537133529,
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0.662069124088652,
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] | [
[
-10,
10
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[
-10,
10
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.537207 | openmdao_benchmarking_system_v1.0 | Booth function - Test functions for optimization | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0046 | L-BFGS-B | gradient-based | booth | easy | unimodal | 2 | 0 | [
1,
3.0001
] | [
1,
3
] | 0 | 0.0001 | 23 | 34 | 27 | 0.052919 | 0.823102 | 0.89613 | true | true | true | 0.9999 | 0.684932 | 0.89613 | 0.860321 | [
1.60174755868776,
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1.191029236279801,
1.087729440996701,
0.990160886611753,
0.8915398034491291,
0.8139065653888671,
0.7344829908864681,
0.659458323192988
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[
-10,
10
],
[
-10,
10
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.537248 | openmdao_benchmarking_system_v1.0 | Booth function - Test functions for optimization | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0047 | L-BFGS-B | gradient-based | booth | easy | unimodal | 2 | 0 | [
1,
3.0001
] | [
1,
3
] | 0 | 0.0001 | 24 | 36 | 28 | 0.055219 | 0.787033 | 0.937484 | true | true | true | 0.9999 | 0.675676 | 0.937484 | 0.87102 | [
0.9901647625315281,
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0.5842175388771651,
0.536991184546731,
0.494582131271226,
0.44587323061939504,
0.394147142212166
] | [
[
-10,
10
],
[
-10,
10
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.537289 | openmdao_benchmarking_system_v1.0 | Booth function - Test functions for optimization | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0048 | L-BFGS-B | gradient-based | booth | easy | unimodal | 2 | 0 | [
1,
3.0001
] | [
1,
3
] | 0 | 0.0001 | 20 | 34 | 27 | 0.046043 | 0.953527 | 0.844795 | true | true | true | 0.9999 | 0.714286 | 0.844795 | 0.852994 | [
2.640769845141225,
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2.157521936540678,
1.964021951693093,
1.769661341128774,
1.5868720174668849,
1.466058678907956,
1.300304048990824,
1.171173990345678,
1.088259284984674
] | [
[
-10,
10
],
[
-10,
10
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.537326 | openmdao_benchmarking_system_v1.0 | Booth function - Test functions for optimization | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0049 | L-BFGS-B | gradient-based | rastrigin | hard | multimodal | 2 | 1.940383 | [
0.23,
0.18
] | [
0,
0
] | 0 | 0.292062 | 77 | 91 | 72 | 0.209143 | -0.008609 | 0.994387 | false | false | false | 0.773957 | 0.393701 | 0.994387 | 0.720682 | [
1.940383193482151,
1.9525042272681872,
1.961133631498166,
1.9596556066936381,
1.953969842250066,
1.954919388743333,
1.940383193482151,
1.9430062057514412,
1.940383193482151,
1.940383193482151
] | [
[
-5.12,
5.12
],
[
-5.12,
5.12
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.537446 | openmdao_benchmarking_system_v1.0 | Rastrigin, L.A. (1974). Systems of extremal control | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0050 | L-BFGS-B | gradient-based | rastrigin | hard | multimodal | 2 | 1.549408 | [
0.23,
0.18
] | [
0,
0
] | 0 | 0.292062 | 62 | 75 | 60 | 0.167002 | -0.007062 | 0.992636 | false | false | false | 0.773957 | 0.446429 | 0.992636 | 0.737674 | [
1.588884306124597,
1.56883242823647,
1.5741542309352532,
1.57242428487636,
1.577354272880542,
1.56893985887531,
1.55497548189902,
1.557748464121087,
1.575274910035709,
1.566278168602647
] | [
[
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5.12
],
[
-5.12,
5.12
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.537529 | openmdao_benchmarking_system_v1.0 | Rastrigin, L.A. (1974). Systems of extremal control | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0051 | L-BFGS-B | gradient-based | rastrigin | hard | multimodal | 2 | 1.883855 | [
0.23,
0.18
] | [
0,
0
] | 0 | 0.292062 | 75 | 88 | 70 | 0.20305 | -0.008444 | 0.997922 | false | false | false | 0.773957 | 0.4 | 0.997922 | 0.723959 | [
1.8913837229843922,
1.8905649641678761,
1.883854515736834,
1.887088899273628,
1.883854515736834,
1.889061467924838,
1.883854515736834,
1.883854515736834,
1.883854515736834,
1.883854515736834
] | [
[
-5.12,
5.12
],
[
-5.12,
5.12
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.537623 | openmdao_benchmarking_system_v1.0 | Rastrigin, L.A. (1974). Systems of extremal control | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0052 | L-BFGS-B | gradient-based | rastrigin | hard | multimodal | 2 | 1.691632 | [
0.23,
0.18
] | [
0,
0
] | 0 | 0.292062 | 67 | 81 | 64 | 0.182332 | -0.007846 | 0.994401 | false | false | false | 0.773957 | 0.42735 | 0.994401 | 0.731903 | [
1.69486878833292,
1.691631876730412,
1.699085304793767,
1.7074228445835,
1.691631876730412,
1.703151169940857,
1.692139486283664,
1.691631876730412,
1.7034229877501401,
1.691631876730412
] | [
[
-5.12,
5.12
],
[
-5.12,
5.12
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.537706 | openmdao_benchmarking_system_v1.0 | Rastrigin, L.A. (1974). Systems of extremal control | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0053 | L-BFGS-B | gradient-based | ackley | hard | multimodal | 2 | 0.648582 | [
0.34,
-0.28
] | [
0,
0
] | 0 | 0.440454 | 89 | 101 | 80 | 0.240216 | 0.004865 | 0.994364 | false | false | false | 0.694225 | 0.359712 | 0.994364 | 0.682767 | [
0.6485824867570781,
0.6485824867570781,
0.6485824867570781,
0.6777138479136491,
0.6485824867570781,
0.6485824867570781,
0.6563294355464421,
0.6619655970994961,
0.6603003557645231,
0.6485824867570781
] | [
[
-32,
32
],
[
-32,
32
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.537815 | openmdao_benchmarking_system_v1.0 | Ackley, D.H. (1987). A connectionist machine for genetic hillclimbing | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0054 | L-BFGS-B | gradient-based | ackley | hard | multimodal | 2 | 0.605059 | [
0.34,
-0.28
] | [
0,
0
] | 0 | 0.440454 | 83 | 91 | 72 | 0.224096 | 0.006053 | 0.995056 | false | false | false | 0.694225 | 0.37594 | 0.995056 | 0.688407 | [
0.6070926715979571,
0.634496180335912,
0.605171797435891,
0.6094157508162521,
0.605059331663061,
0.618907574818618,
0.6166788902713011,
0.610129984551388,
0.6104396625010731,
0.605059331663061
] | [
[
-32,
32
],
[
-32,
32
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.537916 | openmdao_benchmarking_system_v1.0 | Ackley, D.H. (1987). A connectionist machine for genetic hillclimbing | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
run_0055 | L-BFGS-B | gradient-based | ackley | hard | multimodal | 2 | 0.642429 | [
0.34,
-0.28
] | [
0,
0
] | 0 | 0.440454 | 88 | 101 | 80 | 0.237937 | 0.005028 | 0.996522 | false | false | false | 0.694225 | 0.362319 | 0.996522 | 0.684355 | [
0.6580415596896301,
0.647906606703603,
0.6443154366497941,
0.642429436158213,
0.651816835726263,
0.6502986558968,
0.6487922003862661,
0.642429436158213,
0.642429436158213,
0.642606482847841
] | [
[
-32,
32
],
[
-32,
32
]
] | [
"bounds"
] | true | 2025-08-24T00:22:09.538020 | openmdao_benchmarking_system_v1.0 | Ackley, D.H. (1987). A connectionist machine for genetic hillclimbing | Byrd, R.H. et al. (1995). A limited memory algorithm for bound constrained optimization |
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