Simulations on COPS 3 test set

We run DCISolver.jl and NLPModelsIpopt.jl and NLPModelsKnitro.jl on an infinite-dimensional implementation of test problems from COPS 3.0 test set.

DCILDL

namenvarnconstatusobjectiveopt_valtime (s)#f#cdual_feasfeas
Isometrization of α-pinene505500max_time0.00e+001.99e+018.49e+00220.00e+002.84e+01
Isometrization of α-pinene10051000max_time0.00e+001.99e+014.05e+00220.00e+002.84e+01
Isometrization of α-pinene20052000max_time0.00e+001.99e+014.42e+00220.00e+002.84e+01
Journal Bearing26000exceptionInf-1.55e-01Inf00InfInf
Journal Bearing57750exceptionInf-1.55e-01Inf00InfInf
Journal Bearing102000exceptionInf-1.55e-01Inf00InfInf
Catalyst Mixing602402max_time0.00e+00-4.81e-029.96e+01111.41e-012.50e-01
Catalyst Mixing1202802max_time0.00e+00-4.81e-023.94e+00119.98e-022.50e-01
Catalyst Mixing24021602max_time0.00e+00-4.81e-021.07e+03227.07e-022.50e-01
Flow in a Channel800800max_time0.00e+001.00e+005.14e+00220.00e+002.20e-01
Flow in a Channel16001600max_time0.00e+001.00e+002.57e+00220.00e+002.20e-01
Flow in a Channel32003200max_time0.00e+001.00e+002.78e+00220.00e+002.20e-01
Transition States for the Dirichlet Problem90first_order0.00e+001.94e-060.00e+00110.00e+000.00e+00
Transition States for the Dirichlet Problem190first_order0.00e+001.71e-020.00e+00110.00e+000.00e+00
Transition States for the Dirichlet Problem390first_order0.00e+003.29e-020.00e+00110.00e+000.00e+00
Catalytic Cracking of Gas Oil205202max_time8.21e-025.24e-036.83e+01114.19e-020.00e+00
Catalytic Cracking of Gas Oil405402max_time8.11e-025.24e-031.11e+00112.97e-020.00e+00
Catalytic Cracking of Gas Oil805802max_time8.11e-025.24e-032.21e+00112.10e-020.00e+00
Hang Glider698498max_time-9.50e+021.25e+034.51e+03224.75e-158.79e+01
Hang Glider1398998max_time-9.50e+021.25e+038.86e+03226.76e-156.44e+01
Hang Glider27981998max_time-9.50e+021.25e+031.77e+04225.05e-094.66e+01
Transition States for the Henon Problem90first_order0.00e+007.22e+000.00e+00110.00e+000.00e+00
Transition States for the Henon Problem190first_order0.00e+007.52e+010.00e+00110.00e+000.00e+00
Transition States for the Henon Problem390first_order0.00e+001.26e+020.00e+00110.00e+000.00e+00
Transition States for the Lane-Emden Problem90first_order0.00e+008.49e+000.00e+00110.00e+000.00e+00
Transition States for the Lane-Emden Problem190first_order0.00e+009.11e+000.00e+00110.00e+000.00e+00
Transition States for the Lane-Emden Problem390first_order0.00e+009.28e+000.00e+00110.00e+000.00e+00
Methanol to Hydrocarbons308303exceptionInf9.02e-03Inf00InfInf
Methanol to Hydrocarbons608603exceptionInf9.02e-03Inf00InfInf
Methanol to Hydrocarbons12081203exceptionInf9.02e-03Inf00InfInf
Minimal Surface with Obstacle50022401max_time2.33e+002.51e+001.94e+01116.85e-027.34e-03
Minimal Surface with Obstacle112525476max_time2.32e+002.51e+001.59e+00225.29e-025.08e-03
Minimal Surface with Obstacle200029801max_time2.33e+002.51e+002.33e+00224.44e-023.84e-03
Robot Arm1200597max_time0.00e+009.14e+003.74e+00220.00e+002.01e+04
Robot Arm24001197max_time0.00e+009.14e+003.87e+00220.00e+004.02e+04
Robot Arm48002397max_time0.00e+009.14e+004.08e+00220.00e+008.04e+04
Goddard Rocket24001600max_time-1.00e+001.01e+004.83e+04221.85e-022.64e-01
Goddard Rocket48003200max_time-1.00e+001.01e+005.78e+04221.32e-021.90e-01
Goddard Rocket96006400max_time-1.00e+001.01e+001.23e+05229.39e-031.69e-01
Particle Steering800400max_time0.00e+005.55e-015.91e+01220.00e+001.35e+01
Particle Steering1600800max_time0.00e+005.55e-011.80e+02220.00e+009.56e+00
Particle Steering32001600max_time0.00e+005.55e-016.38e+02220.00e+006.79e+00
Elastic-Plastic Torsion78027802max_time0.00e+00-4.18e-015.58e+01115.72e-029.93e-03
Elastic-Plastic Torsion1732717327max_time0.00e+00-4.18e-012.22e+00113.82e-026.64e-03
Elastic-Plastic Torsion3060230602max_time0.00e+00-4.18e-012.71e+00112.87e-024.98e-03

knitro

namenvarnconstatusobjectiveopt_valtime (s)#f#cdual_feasfeas
Isometrization of α-pinene505500max_time0.00e+001.99e+014.33e+00110.00e+005.00e+01
Isometrization of α-pinene10051000max_time0.00e+001.99e+011.10e+00110.00e+005.00e+01
Isometrization of α-pinene20052000max_time0.00e+001.99e+011.26e+00110.00e+005.00e+01
Journal Bearing26000max_time1.20e+01-1.55e-019.39e+00105.88e-010.00e+00
Journal Bearing57750max_time5.06e+00-1.55e-015.31e+00202.31e-010.00e+00
Journal Bearing102000max_time-1.05e+00-1.55e-011.09e+00503.17e-040.00e+00
Catalyst Mixing602402max_time0.00e+00-4.81e-022.82e+00221.00e-022.49e-01
Catalyst Mixing1202802max_time0.00e+00-4.81e-022.56e+00225.00e-032.49e-01
Catalyst Mixing24021602max_time0.00e+00-4.81e-023.60e+00222.50e-032.50e-01
Flow in a Channel800800first_order0.00e+001.00e+005.12e+01220.00e+001.99e-13
Flow in a Channel16001600first_order0.00e+001.00e+001.58e+00220.00e+004.44e-16
Flow in a Channel32003200first_order0.00e+001.00e+001.55e+00220.00e+006.66e-16
Transition States for the Dirichlet Problem90first_order0.00e+001.94e-065.16e-02100.00e+000.00e+00
Transition States for the Dirichlet Problem190first_order0.00e+001.71e-021.99e-01100.00e+000.00e+00
Transition States for the Dirichlet Problem390first_order0.00e+003.29e-024.02e-02100.00e+000.00e+00
Catalytic Cracking of Gas Oil205202max_time7.94e-025.24e-035.73e+01227.01e-034.86e-07
Catalytic Cracking of Gas Oil405402max_time7.93e-025.24e-031.45e+00225.73e-033.20e-07
Catalytic Cracking of Gas Oil805802max_time4.65e-025.24e-032.88e+00223.14e-037.89e-05
Hang Glider698498max_time-9.50e+021.25e+032.77e+01114.44e-169.73e+00
Hang Glider1398998max_time-9.50e+021.25e+032.74e+01116.66e-164.86e+00
Hang Glider27981998max_time-9.50e+021.25e+032.77e+01116.66e-162.43e+00
Transition States for the Henon Problem90first_order0.00e+007.22e+002.82e-02100.00e+000.00e+00
Transition States for the Henon Problem190first_order0.00e+007.52e+012.74e-02100.00e+000.00e+00
Transition States for the Henon Problem390first_order0.00e+001.26e+025.00e-02100.00e+000.00e+00
Transition States for the Lane-Emden Problem90first_order0.00e+008.49e+002.56e-02100.00e+000.00e+00
Transition States for the Lane-Emden Problem190first_order0.00e+009.11e+004.14e-02100.00e+000.00e+00
Transition States for the Lane-Emden Problem390first_order0.00e+009.28e+003.79e-02100.00e+000.00e+00
Methanol to Hydrocarbons308303exception2.33e-019.02e-036.73e-01111.80e+3080.00e+00
Methanol to Hydrocarbons608603exception2.33e-019.02e-035.03e-01111.80e+3080.00e+00
Methanol to Hydrocarbons12081203exception2.33e-019.02e-036.91e-01111.80e+3080.00e+00
Minimal Surface with Obstacle50022401max_time5.78e+002.51e+001.86e+01335.09e-024.30e-04
Minimal Surface with Obstacle112525476max_time6.40e+002.51e+001.70e+00333.33e-021.85e-04
Minimal Surface with Obstacle200029801max_time8.47e+002.51e+002.43e+00332.65e-021.23e-04
Robot Arm1200597max_time0.00e+009.14e+002.04e+00220.00e+008.31e+03
Robot Arm24001197max_time0.00e+009.14e+001.79e+00220.00e+001.66e+04
Robot Arm48002397max_time0.00e+009.14e+002.33e+00220.00e+003.32e+04
Goddard Rocket24001600max_time-1.00e+001.01e+003.13e+00332.50e-034.61e-02
Goddard Rocket48003200max_time-1.00e+001.01e+003.16e+00331.25e-032.30e-02
Goddard Rocket96006400max_time-1.00e+001.01e+003.36e+00336.25e-041.15e-02
Particle Steering800400first_order0.00e+005.55e-011.80e+01220.00e+007.62e-12
Particle Steering1600800first_order0.00e+005.55e-013.54e-01220.00e+001.66e-11
Particle Steering32001600first_order0.00e+005.55e-015.49e-01220.00e+002.86e-11
Elastic-Plastic Torsion78027802max_time0.00e+00-4.18e-011.93e+00228.06e-045.92e-04
Elastic-Plastic Torsion1732717327max_time0.00e+00-4.18e-011.19e+01223.60e-042.64e-04
Elastic-Plastic Torsion3060230602max_time0.00e+00-4.18e-012.72e+01222.14e-041.49e-04

ipopt

namenvarnconstatusobjectiveopt_valtime (s)#f#cdual_feasfeas
Isometrization of α-pinene505500max_time0.00e+001.99e+011.67e+00110.00e+005.00e+01
Isometrization of α-pinene10051000max_time0.00e+001.99e+011.83e+00110.00e+005.00e+01
Isometrization of α-pinene20052000max_time0.00e+001.99e+012.02e+00110.00e+005.00e+01
Journal Bearing26000max_time0.00e+00-1.55e-011.06e+00902.19e-050.00e+00
Journal Bearing57750max_time0.00e+00-1.55e-011.08e+00405.14e-020.00e+00
Journal Bearing102000max_time0.00e+00-1.55e-011.07e+00301.74e-010.00e+00
Catalyst Mixing602402max_time0.00e+00-4.81e-022.58e+00111.00e-022.50e-01
Catalyst Mixing1202802max_time0.00e+00-4.81e-022.53e+00115.00e-032.50e-01
Catalyst Mixing24021602max_time0.00e+00-4.81e-025.93e+00112.50e-032.50e-01
Flow in a Channel800800max_time0.00e+001.00e+002.68e+01222.00e-023.32e-08
Flow in a Channel16001600max_time0.00e+001.00e+001.52e+00222.00e-026.64e-08
Flow in a Channel32003200max_time0.00e+001.00e+001.15e+00222.00e-021.33e-07
Transition States for the Dirichlet Problem90first_order0.00e+001.94e-064.90e-02100.00e+000.00e+00
Transition States for the Dirichlet Problem190first_order0.00e+001.71e-021.48e-01100.00e+000.00e+00
Transition States for the Dirichlet Problem390first_order0.00e+003.29e-024.40e-02100.00e+000.00e+00
Catalytic Cracking of Gas Oil205202max_time0.00e+005.24e-032.90e+00221.03e-025.89e-06
Catalytic Cracking of Gas Oil405402max_time0.00e+005.24e-031.42e+00221.47e-023.88e-06
Catalytic Cracking of Gas Oil805802max_time0.00e+005.24e-031.88e+00223.79e-021.84e-06
Hang Glider698498max_time0.00e+001.25e+033.71e+01111.00e+009.73e+00
Hang Glider1398998max_time0.00e+001.25e+033.77e+01111.00e+004.86e+00
Hang Glider27981998max_time0.00e+001.25e+033.86e+01111.00e+002.43e+00
Transition States for the Henon Problem90first_order0.00e+007.22e+003.60e-02100.00e+000.00e+00
Transition States for the Henon Problem190first_order0.00e+007.52e+014.00e-02100.00e+000.00e+00
Transition States for the Henon Problem390first_order0.00e+001.26e+021.36e-01100.00e+000.00e+00
Transition States for the Lane-Emden Problem90first_order0.00e+008.49e+003.80e-02100.00e+000.00e+00
Transition States for the Lane-Emden Problem190first_order0.00e+009.11e+004.00e-02100.00e+000.00e+00
Transition States for the Lane-Emden Problem390first_order0.00e+009.28e+003.90e-02100.00e+000.00e+00
Methanol to Hydrocarbons308303unknown0.00e+009.02e-031.67e+0101InfInf
Methanol to Hydrocarbons608603unknown0.00e+009.02e-031.20e+0001InfInf
Methanol to Hydrocarbons12081203unknown0.00e+009.02e-031.03e+0101InfInf
Minimal Surface with Obstacle50022401max_time0.00e+002.51e+001.29e+00111.00e+003.84e-04
Minimal Surface with Obstacle112525476max_time0.00e+002.51e+001.14e+01111.00e+001.74e-04
Minimal Surface with Obstacle200029801max_time0.00e+002.51e+004.18e+01111.00e+009.85e-05
Robot Arm1200597max_time0.00e+009.14e+002.07e+00110.00e+001.41e+04
Robot Arm24001197max_time0.00e+009.14e+002.08e+00110.00e+002.83e+04
Robot Arm48002397max_time0.00e+009.14e+001.83e+00110.00e+005.66e+04
Goddard Rocket24001600max_time0.00e+001.01e+002.92e+00111.19e+001.00e-02
Goddard Rocket48003200max_time0.00e+001.01e+002.92e+00111.00e+001.00e-02
Goddard Rocket96006400max_time0.00e+001.01e+002.36e+00111.00e+001.00e-02
Particle Steering800400max_time0.00e+005.55e-011.03e+01220.00e+007.62e-12
Particle Steering1600800max_time0.00e+005.55e-011.06e+00440.00e+006.15e-12
Particle Steering32001600max_time0.00e+005.55e-011.07e+00440.00e+005.94e-12
Elastic-Plastic Torsion78027802max_time0.00e+00-4.18e-017.97e+01222.00e-071.01e-05
Elastic-Plastic Torsion1732717327max_time0.00e+00-4.18e-013.60e+02222.00e-075.46e-06
Elastic-Plastic Torsion3060230602max_time0.00e+00-4.18e-011.14e+00111.00e+005.05e-05