## Solver Square Comparison: Considers all models.

 Date / Time: 09/02/07 12:02:39

Solver comparison utility.

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 is represented on the left (rows) and solver IPOPT-MEHROTRA 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.

 Tracefile 1 : 5-IPOPT-0.trc Tracefile 2 : 6-IPOPT-1.trc Solvers used : IPOPT IPOPT-MEHROTRA Modeltype(s) LP

 IPOPT-MEHROTRA: optimal IPOPT-MEHROTRA: locally optimal IPOPT-MEHROTRA: feasible IPOPT-MEHROTRA: infeasible IPOPT-MEHROTRA: unbounded IPOPT-MEHROTRA: fail IPOPT-MEHROTRA: no data total IPOPT IPOPT: optimal 83 - - - - 3 - 86 IPOPT: locally optimal - - - - - - - - IPOPT: feasible 6 - 2 - - - - 8 IPOPT: infeasible - - - - - 2 - 2 IPOPT: unbounded - - - - - - - - IPOPT: fail 4 - 1 - - 17 - 22 IPOPT: no data - - - - - - - - total IPOPT-MEHROTRA 93 - 3 - - 22 - 118

### 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.

 Modelname Time (IPOPT) Time (IPOPT-MEHROTRA) Ratio (IPOPT/IPOPT-MEHROTRA) Obj (IPOPT) Obj (IPOPT-MEHROTRA) aa01 11.8300 4.6500 2.544 55535.43640912 55535.43638838 aa03 9.6900 3.2600 2.972 49616.36363649 49616.36363651 air02 2.6200 1.5900 1.648 7640.00000065 7640.00000112 air06 9.7000 3.2600 2.975 49616.36363649 49616.36363651 car4 2.7900 1.2300 2.268 35.46037020 35.46038611 cari 7.1300 6.2300 1.144 581.89305792 581.89305779 co5 11.7700 5.3200 2.212 714469.64279909 714469.58102212 co9 32.9900 23.0600 1.431 946920.50623726 946920.49646302 cq5 11.9800 4.1800 2.866 400133.80773115 400133.80948837 cq9 56.5900 19.8700 2.848 505541.70980948 505541.70995496 crew1 1.2900 0.6400 2.016 20.55556529 20.55555577 ex3sta1 34.0400 40.6800 0.837 -63.07540325 -63.07540325 fit2d 5.7000 4.9100 1.161 -68464.29329298 -68464.29322924 fit2p 1.8800 0.9900 1.899 68464.29330248 68464.29329384 fome11 134.2800 171.3600 0.784 0.00292352 0.00257121 fome12 274.4000 347.7300 0.789 0.00584704 0.00514243 gen1 3.9600 4.6100 0.859 0.00000796 0.00000165 gen2 10.0500 7.0000 1.436 3.29279078 3.29279078 gen4 13.5000 12.9200 1.045 0.00001301 0.00000934 jendrec1 6.1200 3.2600 1.877 7028.46051757 7028.46051883 ken-11 6.6200 3.2900 2.012 -6972382262.51996900 -6972382262.51996900 ken-13 25.6900 6.9600 3.691 -1.0257394789482E+10 -1.0257394789482E+10 l30 3.0500 1.3300 2.293 0.95207806 0.94206073 lp22 186.6600 102.8600 1.815 459.00933768 458.94465074 maros-r7 44.4100 10.2600 4.328 1497185.16647966 1497185.16647965 mod2 198.4900 1184.6600 0.168 27737371.36448260 27737371.36747100 model11 36.3500 2.0200 17.995 0.00010208 0.00016867 model5 297.0900 7.4900 39.665 -858440.72839567 -858440.71278465 model7 6.5400 32.9100 0.199 49380.08552185 49380.08553648 model9 76.5400 61.8900 1.237 -141123.08766642 -141123.09326554 nemspmm1 5.6700 2.0400 2.779 -327415.83567074 -327415.83567076 nemspmm2 9.4100 3.3600 2.801 -291794.77219164 -291794.82815276 nemswrld 67.0900 36.7600 1.825 260.30950736 260.30906290 nsir1 9.0800 24.2000 0.375 -28909033.00000000 -28909033.00000000 nsir2 12.1900 7.9200 1.539 -27175593.49999840 -27175593.49999990 osa-07 51.2200 18.6300 2.749 535722.51965037 535722.51730081 p010 171.5500 3.6500 47.000 1115047.91511083 1115047.91511083 p05 130.2200 1.5500 84.013 556000.27662589 556000.27662600 pcb3000 3.4000 1.7100 1.988 137416.53410574 137416.43123403 pilot87 49.5500 13.8700 3.572 301.71037082 301.71579925 r05 19.3100 7.6200 2.534 557831.85904191 557831.85904067 rat1 939.1400 14.9400 62.861 1999531.66287930 1999531.66288583 rat5 268.2000 13.4200 19.985 3083707.01043842 3083707.01043842 rosen10 1.5500 0.7800 1.987 -174215.45613870 -174215.45613870 scfxm1-2b-64 11.9400 4.1100 2.905 2877.56386534 2877.56386373 scfxm1-2r-64 4.8800 1.6200 3.012 2877.56397447 2877.56386371 scfxm1-2r-96 8.1500 8.0300 1.015 2891.70613518 2891.70611372 scrs8-2r-512 742.8900 126.9600 5.851 1074.09934203 1074.09934213 scsd8-2b-64 1.8200 0.9900 1.838 15.99866807 15.99866807 scsd8-2c-64 1.9600 1.0100 1.941 14.99923203 14.99923204 scsd8-2r-108 1.1800 0.5600 2.107 23.69999891 23.69999436 scsd8-2r-216 2.7200 1.2600 2.159 23.40001016 23.39998406 sctap1-2b-64 3.3800 2.0700 1.633 484.56000206 484.56000001 slptsk 19.6100 11.1600 1.757 29.89536615 29.89536602 south31 10.0700 3.2900 3.061 1818940197.10107000 1818940197.10107000 stocfor3 10.6500 2.2800 4.671 -39976.78394364 -39976.78394143 testbig 2.8000 1.1800 2.373 -59.71377151 -60.42296063 wood1p 3.0700 2.0400 1.505 1.44290241 1.44290249 world 207.4500 317.4900 0.653 40364873.43011240 40364873.11446890 bas1lp 443.5200 39.3100 11.283 363.00000000 363.00000000 fome13 599.0300 738.4000 0.811 0.01169409 0.01028485 ken-18 221.3000 307.2900 0.720 -5.2217025287397E+10 -5.2217025287397E+10 kl02 17.6400 11.0100 1.602 215.25001806 215.25000010 nsct2 2811.0700 749.4100 3.751 -37175082.00000000 -37175081.99630621 osa-14 96.8400 87.0800 1.112 1106462.86972097 1106462.84474349 osa-30 327.9500 321.4500 1.020 2142140.84743002 2142139.87321565 rail507 45.6000 23.1700 1.968 172.14556674 172.14556691 rail516 624.7800 19.7300 31.666 182.00000004 182.00000071 rail582 53.0600 31.6400 1.677 209.71223435 209.71223301 rat7a 499.0100 38.3500 13.012 2074371.41572829 2074371.41572829 rlfddd 9.8400 12.3000 0.800 -12.99999327 -12.99999991 rlfdual 53.1600 56.7000 0.938 -0.99999994 -0.99999994 rlfprim 71.1500 81.7800 0.870 1.00001330 1.00000069 route 15.1600 9.6200 1.576 5941.65027702 5941.65027701 scfxm1-2r-256 21.1500 11.1500 1.897 2892.02010444 2891.70611386 scsd8-2r-432 5.4500 2.9500 1.847 25.80002199 25.79997250 sctap1-2r-480 6.7500 4.8200 1.400 248.50005291 248.50000001 t0331-4l 49.6600 23.0100 2.158 29730.03339276 29730.03335310 us04 20.2100 17.6800 1.143 17731.66666680 17731.66667227 dbir2 289.0100 229.4000 1.260 -6116916.49999997 -6116916.49999326 nemsemm1 93.1200 44.4600 2.094 512961.33656058 512959.68358962 nw14 330.9900 351.4600 0.942 61844.00001227 61844.00003897 osa-60 2118.8600 2070.4700 1.023 4044072.77774503 4044072.50389521

 Modelname Time (IPOPT) Time (IPOPT-MEHROTRA) Ratio (IPOPT/IPOPT-MEHROTRA) Obj (IPOPT) Status (IPOPT-MEHROTRA) pds-06 121.1700 3600.2400 --- 27761037600.00000000 mstat( 6) sstat( 3) pds-10 996.8400 3600.0600 --- 26727094976.03690000 mstat( 6) sstat( 3) nsct1 1034.7000 3606.6400 --- -38922435.93294140 mstat( 6) sstat( 3)

 Modelname Time (IPOPT) Time (IPOPT-MEHROTRA) Ratio (IPOPT/IPOPT-MEHROTRA) Obj (IPOPT) Obj (IPOPT-MEHROTRA) model10 3749.7900 209.0000 17.942 -154595.73840092 -154599.62123990 nug15 3861.2500 2944.4900 1.311 1040.99847628 1040.99405336 qap15 3687.2200 2537.0500 1.453 1040.99438307 1040.99405335 fome20 3684.9000 3468.3500 1.062 23824795566.33030000 23821658640.00010000 nemsemm2 5387.1300 5.8600 919.305 590853.36666951 581079.64415548 pds-20 3610.3500 3497.0400 1.032 23824795566.33030000 23821658640.00010000

 Modelname Time (IPOPT) Time (IPOPT-MEHROTRA) Ratio (IPOPT/IPOPT-MEHROTRA) Obj (IPOPT) Obj (IPOPT-MEHROTRA) lpl3 3667.9500 3706.6500 0.990 92049.12139266 34530.67856900 rail2586 3608.6000 3607.5800 1.000 1126.43249215 6557.33662890

 Modelname Time (IPOPT) Time (IPOPT-MEHROTRA) Ratio (IPOPT/IPOPT-MEHROTRA) Status (IPOPT) Status (IPOPT-MEHROTRA) bgindy 6.4800 3603.5700 --- mstat( 4) sstat( 1) mstat( 6) sstat( 3) gosh 1221.9600 3600.2300 --- mstat( 4) sstat( 1) mstat( 6) sstat( 3)

 Modelname Time (IPOPT) Time (IPOPT-MEHROTRA) Ratio (IPOPT/IPOPT-MEHROTRA) Status (IPOPT) Obj (IPOPT-MEHROTRA) baxter NA 40.1900 --- mstat(13) sstat(10) 56007255.68220491 ulevimin 3600.9100 68.9700 --- mstat( 6) sstat( 3) -5191101860.83442000 cre-d NA 2394.9500 --- mstat(13) sstat(10) 24454969.76555750 dbic1 NA 1592.5100 --- mstat(13) sstat(13) -9768973.00014886

 Modelname Time (IPOPT) Time (IPOPT-MEHROTRA) Ratio (IPOPT/IPOPT-MEHROTRA) Status (IPOPT) Obj (IPOPT-MEHROTRA) cre-b 3799.6800 3644.3600 --- mstat( 6) sstat( 3) 23129639.88704360

 Modelname Time (IPOPT) Time (IPOPT-MEHROTRA) Ratio (IPOPT/IPOPT-MEHROTRA) Status (IPOPT) Status (IPOPT-MEHROTRA) fome21 3612.7400 3609.3300 --- mstat( 6) sstat( 3) mstat( 6) sstat( 3) lpl1 NA 3606.3000 --- mstat(13) sstat(10) mstat( 6) sstat( 3) nug20 NA NA --- mstat(13) sstat(10) mstat(13) sstat(10) pds-30 3727.3200 3630.3700 --- mstat( 6) sstat( 3) mstat( 6) sstat( 3) pds-40 3675.6500 4024.9000 --- mstat( 6) sstat( 3) mstat( 6) sstat( 3) pds-50 NA NA --- mstat(13) sstat(10) mstat(13) sstat(10) pds-60 NA NA --- mstat(13) sstat(13) mstat(13) sstat(13) sgpf5y6 NA NA --- mstat(13) sstat(10) mstat(13) sstat(10) watson_1 NA NA --- mstat(13) sstat(10) mstat(13) sstat(10) dbir1 NA 3614.7600 --- mstat(13) sstat(10) mstat( 6) sstat( 3) nug30 NA NA --- mstat(13) sstat(13) mstat(13) sstat(10) pds-100 29433.2100 35438.4600 --- mstat( 6) sstat( 3) mstat( 6) sstat( 3) pds-70 NA NA --- mstat(13) sstat(10) mstat(13) sstat(10) pds-80 NA NA --- mstat(13) sstat(13) mstat(13) sstat(13) pds-90 NA NA --- mstat(13) sstat(13) mstat(13) sstat(13) rail4284 NA NA --- mstat(13) sstat(10) mstat(13) sstat(10) self NA NA --- mstat(13) sstat(10) mstat(13) sstat(10)

 Modelname Time (IPOPT) Obj (IPOPT) aa01 11.8300 55535.43640912 aa03 9.6900 49616.36363649 air02 2.6200 7640.00000065 air06 9.7000 49616.36363649 car4 2.7900 35.46037020 cari 7.1300 581.89305792 co5 11.7700 714469.64279909 co9 32.9900 946920.50623726 cq5 11.9800 400133.80773115 cq9 56.5900 505541.70980948 crew1 1.2900 20.55556529 ex3sta1 34.0400 -63.07540325 fit2d 5.7000 -68464.29329298 fit2p 1.8800 68464.29330248 fome11 134.2800 0.00292352 fome12 274.4000 0.00584704 gen1 3.9600 0.00000796 gen2 10.0500 3.29279078 gen4 13.5000 0.00001301 jendrec1 6.1200 7028.46051757 ken-11 6.6200 -6972382262.51996900 ken-13 25.6900 -1.0257394789482E+10 l30 3.0500 0.95207806 lp22 186.6600 459.00933768 maros-r7 44.4100 1497185.16647966 mod2 198.4900 27737371.36448260 model11 36.3500 0.00010208 model5 297.0900 -858440.72839567 model7 6.5400 49380.08552185 model9 76.5400 -141123.08766642 nemspmm1 5.6700 -327415.83567074 nemspmm2 9.4100 -291794.77219164 nemswrld 67.0900 260.30950736 nsir1 9.0800 -28909033.00000000 nsir2 12.1900 -27175593.49999840 osa-07 51.2200 535722.51965037 p010 171.5500 1115047.91511083 p05 130.2200 556000.27662589 pcb3000 3.4000 137416.53410574 pds-06 121.1700 27761037600.00000000 pds-10 996.8400 26727094976.03690000 pilot87 49.5500 301.71037082 r05 19.3100 557831.85904191 rat1 939.1400 1999531.66287930 rat5 268.2000 3083707.01043842 rosen10 1.5500 -174215.45613870 scfxm1-2b-64 11.9400 2877.56386534 scfxm1-2r-64 4.8800 2877.56397447 scfxm1-2r-96 8.1500 2891.70613518 scrs8-2r-512 742.8900 1074.09934203 scsd8-2b-64 1.8200 15.99866807 scsd8-2c-64 1.9600 14.99923203 scsd8-2r-108 1.1800 23.69999891 scsd8-2r-216 2.7200 23.40001016 sctap1-2b-64 3.3800 484.56000206 slptsk 19.6100 29.89536615 south31 10.0700 1818940197.10107000 stocfor3 10.6500 -39976.78394364 testbig 2.8000 -59.71377151 wood1p 3.0700 1.44290241 world 207.4500 40364873.43011240 bas1lp 443.5200 363.00000000 fome13 599.0300 0.01169409 ken-18 221.3000 -5.2217025287397E+10 kl02 17.6400 215.25001806 nsct1 1034.7000 -38922435.93294140 nsct2 2811.0700 -37175082.00000000 osa-14 96.8400 1106462.86972097 osa-30 327.9500 2142140.84743002 rail507 45.6000 172.14556674 rail516 624.7800 182.00000004 rail582 53.0600 209.71223435 rat7a 499.0100 2074371.41572829 rlfddd 9.8400 -12.99999327 rlfdual 53.1600 -0.99999994 rlfprim 71.1500 1.00001330 route 15.1600 5941.65027702 scfxm1-2r-256 21.1500 2892.02010444 scsd8-2r-432 5.4500 25.80002199 sctap1-2r-480 6.7500 248.50005291 t0331-4l 49.6600 29730.03339276 us04 20.2100 17731.66666680 dbir2 289.0100 -6116916.49999997 nemsemm1 93.1200 512961.33656058 nw14 330.9900 61844.00001227 osa-60 2118.8600 4044072.77774503

 Modelname Time (IPOPT) Obj (IPOPT) lpl3 3667.9500 92049.12139266 model10 3749.7900 -154595.73840092 nug15 3861.2500 1040.99847628 qap15 3687.2200 1040.99438307 fome20 3684.9000 23824795566.33030000 nemsemm2 5387.1300 590853.36666951 pds-20 3610.3500 23824795566.33030000 rail2586 3608.6000 1126.43249215

 Modelname Time (IPOPT) Status (IPOPT) bgindy -- mstat( 4) sstat( 1) gosh -- mstat( 4) sstat( 1)

 Modelname Time (IPOPT) Status (IPOPT) baxter -- mstat(13) sstat(10) ulevimin -- mstat( 6) sstat( 3) cre-b -- mstat( 6) sstat( 3) cre-d -- mstat(13) sstat(10) fome21 -- mstat( 6) sstat( 3) lpl1 -- mstat(13) sstat(10) nug20 -- mstat(13) sstat(10) pds-30 -- mstat( 6) sstat( 3) pds-40 -- mstat( 6) sstat( 3) pds-50 -- mstat(13) sstat(10) pds-60 -- mstat(13) sstat(13) sgpf5y6 -- mstat(13) sstat(10) watson_1 -- mstat(13) sstat(10) dbic1 -- mstat(13) sstat(13) dbir1 -- mstat(13) sstat(10) nug30 -- mstat(13) sstat(13) pds-100 -- mstat( 6) sstat( 3) pds-70 -- mstat(13) sstat(10) pds-80 -- mstat(13) sstat(13) pds-90 -- mstat(13) sstat(13) rail4284 -- mstat(13) sstat(10) self -- mstat(13) sstat(10)

 Modelname Time (IPOPT-MEHROTRA) Obj (IPOPT-MEHROTRA) aa01 4.6500 55535.43638838 aa03 3.2600 49616.36363651 air02 1.5900 7640.00000112 air06 3.2600 49616.36363651 baxter 40.1900 56007255.68220491 car4 1.2300 35.46038611 cari 6.2300 581.89305779 co5 5.3200 714469.58102212 co9 23.0600 946920.49646302 cq5 4.1800 400133.80948837 cq9 19.8700 505541.70995496 crew1 0.6400 20.55555577 ex3sta1 40.6800 -63.07540325 fit2d 4.9100 -68464.29322924 fit2p 0.9900 68464.29329384 fome11 171.3600 0.00257121 fome12 347.7300 0.00514243 gen1 4.6100 0.00000165 gen2 7.0000 3.29279078 gen4 12.9200 0.00000934 jendrec1 3.2600 7028.46051883 ken-11 3.2900 -6972382262.51996900 ken-13 6.9600 -1.0257394789482E+10 l30 1.3300 0.94206073 lp22 102.8600 458.94465074 maros-r7 10.2600 1497185.16647965 mod2 1184.6600 27737371.36747100 model10 209.0000 -154599.62123990 model11 2.0200 0.00016867 model5 7.4900 -858440.71278465 model7 32.9100 49380.08553648 model9 61.8900 -141123.09326554 nemspmm1 2.0400 -327415.83567076 nemspmm2 3.3600 -291794.82815276 nemswrld 36.7600 260.30906290 nsir1 24.2000 -28909033.00000000 nsir2 7.9200 -27175593.49999990 nug15 2944.4900 1040.99405336 osa-07 18.6300 535722.51730081 p010 3.6500 1115047.91511083 p05 1.5500 556000.27662600 pcb3000 1.7100 137416.43123403 pilot87 13.8700 301.71579925 qap15 2537.0500 1040.99405335 r05 7.6200 557831.85904067 rat1 14.9400 1999531.66288583 rat5 13.4200 3083707.01043842 rosen10 0.7800 -174215.45613870 scfxm1-2b-64 4.1100 2877.56386373 scfxm1-2r-64 1.6200 2877.56386371 scfxm1-2r-96 8.0300 2891.70611372 scrs8-2r-512 126.9600 1074.09934213 scsd8-2b-64 0.9900 15.99866807 scsd8-2c-64 1.0100 14.99923204 scsd8-2r-108 0.5600 23.69999436 scsd8-2r-216 1.2600 23.39998406 sctap1-2b-64 2.0700 484.56000001 slptsk 11.1600 29.89536602 south31 3.2900 1818940197.10107000 stocfor3 2.2800 -39976.78394143 testbig 1.1800 -60.42296063 ulevimin 68.9700 -5191101860.83442000 wood1p 2.0400 1.44290249 world 317.4900 40364873.11446890 bas1lp 39.3100 363.00000000 cre-d 2394.9500 24454969.76555750 fome13 738.4000 0.01028485 fome20 3468.3500 23821658640.00010000 ken-18 307.2900 -5.2217025287397E+10 kl02 11.0100 215.25000010 nemsemm2 5.8600 581079.64415548 nsct2 749.4100 -37175081.99630621 osa-14 87.0800 1106462.84474349 osa-30 321.4500 2142139.87321565 pds-20 3497.0400 23821658640.00010000 rail507 23.1700 172.14556691 rail516 19.7300 182.00000071 rail582 31.6400 209.71223301 rat7a 38.3500 2074371.41572829 rlfddd 12.3000 -12.99999991 rlfdual 56.7000 -0.99999994 rlfprim 81.7800 1.00000069 route 9.6200 5941.65027701 scfxm1-2r-256 11.1500 2891.70611386 scsd8-2r-432 2.9500 25.79997250 sctap1-2r-480 4.8200 248.50000001 t0331-4l 23.0100 29730.03335310 us04 17.6800 17731.66667227 dbic1 1592.5100 -9768973.00014886 dbir2 229.4000 -6116916.49999326 nemsemm1 44.4600 512959.68358962 nw14 351.4600 61844.00003897 osa-60 2070.4700 4044072.50389521

 Modelname Time (IPOPT-MEHROTRA) Obj (IPOPT-MEHROTRA) lpl3 3706.6500 34530.67856900 cre-b 3644.3600 23129639.88704360 rail2586 3607.5800 6557.33662890