## Solver Square Comparison: Considers all models.

Results created on 03/04/11 12:14:16 using the PAVER Server/Performance tools available at http://www.gamsworld.eu/performance/paver

Compares all solver return outcomes (for example optimal, locally optimal, infeasible, unbounded, fail) of one solver with all return outcomes of another solver. Interrupt denotes resource or iteration limit has been reached.

Solver IPOPT-MA27 is represented on the left (rows) and solver PATHNLP on top (columns).

See the solver return definitions for return codes. Models having trace data only in one trace file are listed in the "no data" column of the other.

Input File Number Filename
Tracefile 1: IPOPT-1.trc
Tracefile 2: PATHNLP-1.trc
Solvers used : IPOPT-MA27
PATHNLP
Modeltype(s)   NLP

 PATHNLP: optimal PATHNLP: locally optimal PATHNLP: feasible PATHNLP: infeasible PATHNLP: unbounded PATHNLP: fail PATHNLP: no data total IPOPT-MA27 IPOPT-MA27: optimal - - - - - - - - IPOPT-MA27: locally optimal - 52 12 - - 11 - 75 IPOPT-MA27: feasible - - - - - - - - IPOPT-MA27: infeasible - - - - - 2 - 2 IPOPT-MA27: unbounded - - - - - - - - IPOPT-MA27: fail - 2 1 - - 1 - 4 IPOPT-MA27: no data - - - - - - - - total PATHNLP - 54 13 - - 14 - 81

### Solver return definitions:

 Outcome Model Status Solver Status optimal 1 or 15 1 locally optimal 2 any feasible 7 or 16 or 17 1 or 2 or 3 or 4 or 5 infeasible 4 or 5 or 19 1 unbounded 3 or 18 1 fail all other all other

### Solver Resource Times

• Models for each solver pair outcome. Listed are the solver resource times TIME(.) in seconds, as well as the ratio RATIO(./.) of resource times for the two solvers if both solved optimally.
• Also listed are the objective values OBJ(.) using both solvers. The better solution found is listed in boldface. A solution is considered better, if the relative objective function difference is greater than 1.00E-05. If both solutions are less than 1e-1, we use the absolute difference.
• Solver resource time ratios for a particular model are listed only if one solver has resource greater than 5.00E-02.

### IPOPT-MA27: locally optimal -- PATHNLP: locally optimal

Modelname Time (IPOPT-MA27) Time (PATHNLP) Ratio (IPOPT-MA27/PATHNLP) Obj (IPOPT-MA27) Obj (PATHNLP)
arki0002 0.1360 0.7480 0.182 1.87252774 1.87252775
arki0016 9.5800 2.2560 4.246 867.97316601 867.97316601
arki0017 0.4350 4.6620 0.093 -121.83308011 -121.83308010
arki0018 0.3290 1.9770 0.166 0.01045662 0.01045662
arki0020 0.0740 0.3860 0.192 -41.07495436 -41.07495436
arki0021 0.2110 3.5850 0.059 -72.58210091 -72.58210091
arki0022 0.3720 8.1890 0.045 -87.09909127 -87.09909127
arki0023 0.7280 47.7820 0.015 -153.66007775 -153.66007775
catmix100 0.0480 0.2760 0.174 -0.04806941 -0.04806942
catmix200 0.0520 0.2730 0.190 -0.04805914 -0.04805914
catmix400 0.0950 1.8930 0.050 -0.04805654 -0.04805655
catmix800 0.1810 26.6930 0.007 -0.04805590 -0.04805590
chain400 0.0170 3.3930 0.005 5.06862169 5.06862169
ex8_2_3a 2.8440 296.1640 0.010 -3731.07929678 -3731.07929210
flowchan100 0.0450 0.1090 0.413 0.00000000 0.00000000
flowchan200 0.0910 0.2300 0.396 0.00000000 0.00000000
flowchan400 0.1880 0.4790 0.392 0.00000000 0.00000000
gasoil100 0.1450 0.2320 0.625 0.00523659 0.00523659
gasoil200 0.2910 0.7090 0.410 0.00523660 0.00523660
gasoil400 0.7990 2.2940 0.348 0.00523660 0.00523660
gasoil50 0.0580 0.1050 0.552 0.00523664 0.00523664
infeas1 0.3510 1.6080 0.218 13685.59647017 13685.59646388
jbearing100 0.4680 0.5180 0.903 -0.15504194 -0.15504196
jbearing25 0.1140 0.1080 1.056 -0.15401551 -0.15401554
jbearing50 0.2000 0.3060 0.654 -0.15482381 -0.15482422
jbearing75 0.3240 0.3760 0.862 -0.15498446 -0.15498453
lnts100 0.0310 1.5830 0.020 0.55459540 0.55459540
lnts200 0.0460 43.2490 0.001 0.55457702 0.55457702
methanol100 0.1940 0.3380 0.574 0.00902229 0.00902229
methanol200 6.4270 0.9810 6.551 0.00902229 0.00902229
methanol400 2.8960 3.4380 0.842 0.00902229 0.00902229
methanol50 0.0700 0.1280 0.547 0.00902229 0.00902229
minsurf100 0.5960 0.6670 0.894 2.50694962 2.50694926
minsurf25 0.1270 0.0920 1.380 2.51948798 2.51948768
minsurf50 0.2730 0.2570 1.062 2.51489003 2.51488916
minsurf75 1.4340 0.3910 3.668 2.50568711 2.50568648
pinene100 0.1510 3.6530 0.041 19.87217015 19.87217015
pinene200 0.3690 7.7290 0.048 19.87216684 19.87216684
pinene25 0.0750 0.4780 0.157 19.87216552 19.87216552
pinene50 0.0750 0.4680 0.160 19.87216552 19.87216552
polygon25 0.0330 0.6940 0.048 -0.77974054 -0.77967824
polygon75 0.6500 14.0400 0.046 -0.78446376 -0.75626662
popdynm100 0.2190 2.0630 0.106 19746.52860214 19746.52860217
popdynm200 0.4940 6.5270 0.076 19746.52964658 19746.52964660
popdynm25 0.0870 0.1100 0.791 19752.21541508 19752.21541511
popdynm50 0.0980 0.5020 0.195 19746.54515625 19746.54515628
robot200 0.2420 59.6580 0.004 9.14139686 9.14139550
robot400 0.5500 52.1010 0.011 9.14102607 9.14102603
torsion100 0.5980 0.7090 0.843 -0.41823920 -0.41823921
torsion25 0.1220 0.0970 1.258 -0.41751073 -0.41751073
torsion50 0.2840 0.2700 1.052 -0.41808762 -0.41808763
torsion75 0.4420 0.4540 0.974 -0.41819939 -0.41819940

### IPOPT-MA27: locally optimal -- PATHNLP: feasible

Modelname Time (IPOPT-MA27) Time (PATHNLP) Ratio (IPOPT-MA27/PATHNLP) Obj (IPOPT-MA27) Obj (PATHNLP)
arki0003 510.2660 436.3120 1.169 3795.20602092 624676.20567527
arki0004 1.7070 952.6750 0.002 327.73301340 17730.41368439
arki0011 84.0000 3602.5150 0.023 -224086.46003209 -224086.46003899
arki0015 1.3560 252.1530 0.005 -266.94068809 -180.93272868
camshape400 0.1710 11.0170 0.016 -4.27569663 -4.16698341
elec200 26.1160 429.8600 0.061 18439.26774952 22750.58850376
ex8_2_2a 1.3160 1205.4070 0.001 -552.66625903 -197.22299669
ex8_2_2b 1.6600 443.2060 0.004 -552.66625998 133.26074773
ex8_2_5a 1.7680 280.6110 0.006 -830.33806763 -454.77337863
ex8_2_5b 1.9290 494.0380 0.004 -830.33806763 -212.13223964
polygon100 0.5510 548.4390 0.001 -0.78505614 0.00000000
polygon50 0.2900 64.0450 0.005 -0.78213256 -0.65531628

### IPOPT-MA27: locally optimal -- PATHNLP: fail

Modelname Time (IPOPT-MA27) Time (PATHNLP) Ratio (IPOPT-MA27/PATHNLP) Obj (IPOPT-MA27) Status (PATHNLP)
arki0012 55.7840 0.0000 --- -224252.42629883 mstat(14)sstat( 9)
arki0013 59.4700 0.0000 --- -224253.08789432 mstat(14)sstat( 9)
arki0014 50.4430 0.0000 --- -223977.03530616 mstat(14)sstat( 9)
camshape800 0.7280 50.6430 --- -4.27430687 mstat( 6)sstat( 4)
ex8_2_3b 3.4640 NA --- -3731.07929695 mstat(13)sstat(13)
glider100 288.4420 NA --- -1254.61354071 mstat(13)sstat(13)
glider50 24.8520 48.7000 --- -1286.97737317 mstat( 6)sstat( 4)
lnts400 0.0810 289.8090 --- 0.55457241 mstat( 6)sstat( 4)
rocket100 1.9140 52.5200 --- -1.01283202 mstat( 6)sstat( 4)
rocket200 11.8530 137.1480 --- -1.01283569 mstat( 6)sstat( 4)
rocket400 118.2370 983.9650 --- -1.01283661 mstat( 6)sstat( 4)

### IPOPT-MA27: infeasible -- PATHNLP: fail

Modelname Time (IPOPT-MA27) Time (PATHNLP) Ratio (IPOPT-MA27/PATHNLP) Status (IPOPT-MA27) Status (PATHNLP)
glider200 1223.1610 406.4660 --- mstat( 5)sstat( 1) mstat( 6)sstat( 4)
glider400 133.0970 2768.1960 --- mstat( 5)sstat( 1) mstat( 6)sstat( 4)

### IPOPT-MA27: fail -- PATHNLP: locally optimal

Modelname Time (IPOPT-MA27) Time (PATHNLP) Ratio (IPOPT-MA27/PATHNLP) Status (IPOPT-MA27) Obj (PATHNLP)
robot100 3610.6280 0.9820 --- mstat( 6)sstat( 3) 9.14268538
robot50 3646.7020 1.0190 --- mstat( 6)sstat( 3) 9.14687850

### IPOPT-MA27: fail -- PATHNLP: feasible

Modelname Time (IPOPT-MA27) Time (PATHNLP) Ratio (IPOPT-MA27/PATHNLP) Status (IPOPT-MA27) Obj (PATHNLP)
ex8_2_2 3617.6920 3952.3240 --- mstat( 6)sstat( 3) 25.74674493

### IPOPT-MA27: fail -- PATHNLP: fail

Modelname Time (IPOPT-MA27) Time (PATHNLP) Ratio (IPOPT-MA27/PATHNLP) Status (IPOPT-MA27) Status (PATHNLP)
arki0008 3881.9600 596.2570 --- mstat( 6)sstat( 3) mstat( 6)sstat( 4)

### IPOPT-MA27: locally optimal:

Modelname Time (IPOPT-MA27) Obj (IPOPT-MA27)
arki0002 0.1360 1.87252774
arki0003 510.2660 3795.20602092
arki0004 1.7070 327.73301340
arki0011 84.0000 -224086.46003209
arki0012 55.7840 -224252.42629883
arki0013 59.4700 -224253.08789432
arki0014 50.4430 -223977.03530616
arki0015 1.3560 -266.94068809
arki0016 9.5800 867.97316601
arki0017 0.4350 -121.83308011
arki0018 0.3290 0.01045662
arki0020 0.0740 -41.07495436
arki0021 0.2110 -72.58210091
arki0022 0.3720 -87.09909127
arki0023 0.7280 -153.66007775
camshape400 0.1710 -4.27569663
camshape800 0.7280 -4.27430687
catmix100 0.0480 -0.04806941
catmix200 0.0520 -0.04805914
catmix400 0.0950 -0.04805654
catmix800 0.1810 -0.04805590
chain400 0.0170 5.06862169
elec200 26.1160 18439.26774952
ex8_2_2a 1.3160 -552.66625903
ex8_2_2b 1.6600 -552.66625998
ex8_2_3a 2.8440 -3731.07929678
ex8_2_3b 3.4640 -3731.07929695
ex8_2_5a 1.7680 -830.33806763
ex8_2_5b 1.9290 -830.33806763
flowchan100 0.0450 0.00000000
flowchan200 0.0910 0.00000000
flowchan400 0.1880 0.00000000
gasoil100 0.1450 0.00523659
gasoil200 0.2910 0.00523660
gasoil400 0.7990 0.00523660
gasoil50 0.0580 0.00523664
glider100 288.4420 -1254.61354071
glider50 24.8520 -1286.97737317
infeas1 0.3510 13685.59647017
jbearing100 0.4680 -0.15504194
jbearing25 0.1140 -0.15401551
jbearing50 0.2000 -0.15482381
jbearing75 0.3240 -0.15498446
lnts100 0.0310 0.55459540
lnts200 0.0460 0.55457702
lnts400 0.0810 0.55457241
methanol100 0.1940 0.00902229
methanol200 6.4270 0.00902229
methanol400 2.8960 0.00902229
methanol50 0.0700 0.00902229
minsurf100 0.5960 2.50694962
minsurf25 0.1270 2.51948798
minsurf50 0.2730 2.51489003
minsurf75 1.4340 2.50568711
pinene100 0.1510 19.87217015
pinene200 0.3690 19.87216684
pinene25 0.0750 19.87216552
pinene50 0.0750 19.87216552
polygon100 0.5510 -0.78505614
polygon25 0.0330 -0.77974054
polygon50 0.2900 -0.78213256
polygon75 0.6500 -0.78446376
popdynm100 0.2190 19746.52860214
popdynm200 0.4940 19746.52964658
popdynm25 0.0870 19752.21541508
popdynm50 0.0980 19746.54515625
robot200 0.2420 9.14139686
robot400 0.5500 9.14102607
rocket100 1.9140 -1.01283202
rocket200 11.8530 -1.01283569
rocket400 118.2370 -1.01283661
torsion100 0.5980 -0.41823920
torsion25 0.1220 -0.41751073
torsion50 0.2840 -0.41808762
torsion75 0.4420 -0.41819939

### IPOPT-MA27: infeasible:

Modelname Time (IPOPT-MA27) Status (IPOPT-MA27)
glider200 -- mstat( 5) sstat( 1)
glider400 -- mstat( 5) sstat( 1)

### IPOPT-MA27: fail:

Modelname Time (IPOPT-MA27) Status (IPOPT-MA27)
arki0008 -- mstat( 6) sstat( 3)
ex8_2_2 -- mstat( 6) sstat( 3)
robot100 -- mstat( 6) sstat( 3)
robot50 -- mstat( 6) sstat( 3)

### PATHNLP: locally optimal:

Modelname Time (PATHNLP) Obj (PATHNLP)
arki0002 0.7480 1.87252775
arki0016 2.2560 867.97316601
arki0017 4.6620 -121.83308010
arki0018 1.9770 0.01045662
arki0020 0.3860 -41.07495436
arki0021 3.5850 -72.58210091
arki0022 8.1890 -87.09909127
arki0023 47.7820 -153.66007775
catmix100 0.2760 -0.04806942
catmix200 0.2730 -0.04805914
catmix400 1.8930 -0.04805655
catmix800 26.6930 -0.04805590
chain400 3.3930 5.06862169
ex8_2_3a 296.1640 -3731.07929210
flowchan100 0.1090 0.00000000
flowchan200 0.2300 0.00000000
flowchan400 0.4790 0.00000000
gasoil100 0.2320 0.00523659
gasoil200 0.7090 0.00523660
gasoil400 2.2940 0.00523660
gasoil50 0.1050 0.00523664
infeas1 1.6080 13685.59646388
jbearing100 0.5180 -0.15504196
jbearing25 0.1080 -0.15401554
jbearing50 0.3060 -0.15482422
jbearing75 0.3760 -0.15498453
lnts100 1.5830 0.55459540
lnts200 43.2490 0.55457702
methanol100 0.3380 0.00902229
methanol200 0.9810 0.00902229
methanol400 3.4380 0.00902229
methanol50 0.1280 0.00902229
minsurf100 0.6670 2.50694926
minsurf25 0.0920 2.51948768
minsurf50 0.2570 2.51488916
minsurf75 0.3910 2.50568648
pinene100 3.6530 19.87217015
pinene200 7.7290 19.87216684
pinene25 0.4780 19.87216552
pinene50 0.4680 19.87216552
polygon25 0.6940 -0.77967824
polygon75 14.0400 -0.75626662
popdynm100 2.0630 19746.52860217
popdynm200 6.5270 19746.52964660
popdynm25 0.1100 19752.21541511
popdynm50 0.5020 19746.54515628
robot100 0.9820 9.14268538
robot200 59.6580 9.14139550
robot400 52.1010 9.14102603
robot50 1.0190 9.14687850
torsion100 0.7090 -0.41823921
torsion25 0.0970 -0.41751073
torsion50 0.2700 -0.41808763
torsion75 0.4540 -0.41819940

### PATHNLP: feasible:

Modelname Time (PATHNLP) Obj (PATHNLP)
arki0003 436.3120 624676.20567527
arki0004 952.6750 17730.41368439
arki0011 3602.5150 -224086.46003899
arki0015 252.1530 -180.93272868
camshape400 11.0170 -4.16698341
elec200 429.8600 22750.58850376
ex8_2_2 3952.3240 25.74674493
ex8_2_2a 1205.4070 -197.22299669
ex8_2_2b 443.2060 133.26074773
ex8_2_5a 280.6110 -454.77337863
ex8_2_5b 494.0380 -212.13223964
polygon100 548.4390 0.00000000
polygon50 64.0450 -0.65531628

### PATHNLP: fail:

Modelname Time (PATHNLP) Status (PATHNLP)
arki0008 -- mstat( 6)sstat( 4)
arki0012 -- mstat(14)sstat( 9)
arki0013 -- mstat(14)sstat( 9)
arki0014 -- mstat(14)sstat( 9)
camshape800 -- mstat( 6)sstat( 4)
ex8_2_3b -- mstat(13)sstat(13)
glider100 -- mstat(13)sstat(13)
glider200 -- mstat( 6)sstat( 4)
glider400 -- mstat( 6)sstat( 4)
glider50 -- mstat( 6)sstat( 4)
lnts400 -- mstat( 6)sstat( 4)
rocket100 -- mstat( 6)sstat( 4)
rocket200 -- mstat( 6)sstat( 4)
rocket400 -- mstat( 6)sstat( 4)