## Solver Square Comparison: Considers all models.

 Date / Time: 09/02/07 12:03:57

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 CPLEX is represented on the left (rows) and solver IPOPT 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 : 1-CPLEX-0.trc Tracefile 2 : 4-IPOPT-1.trc Solvers used : CPLEX IPOPT Modeltype(s) LP

 IPOPT: optimal IPOPT: locally optimal IPOPT: feasible IPOPT: infeasible IPOPT: unbounded IPOPT: fail IPOPT: no data total CPLEX CPLEX: optimal 93 - 3 - - 16 - 112 CPLEX: locally optimal - - - - - - - - CPLEX: feasible - - - - - - - - CPLEX: infeasible - - - - - 4 - 4 CPLEX: unbounded - - - - - - - - CPLEX: fail - - - - - 2 - 2 CPLEX: no data - - - - - - - - total IPOPT 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.

#### CPLEX: optimal -- IPOPT: optimal    Back to top

 Modelname Time (CPLEX) Time (IPOPT) Ratio (CPLEX/IPOPT) Obj (CPLEX) Obj (IPOPT) aa01 1.5400 4.6500 0.331 55535.43638822 55535.43638838 aa03 1.0000 3.2600 0.307 49616.36363636 49616.36363651 air02 0.0600 1.5900 0.038 7640.00000000 7640.00000112 air06 1.0200 3.2600 0.313 49616.36363636 49616.36363651 baxter 0.8500 40.1900 0.021 56007255.67225311 56007255.68220491 car4 0.4100 1.2300 0.333 35.46037017 35.46038611 cari 0.0600 6.2300 0.010 581.89305779 581.89305779 co5 1.3700 5.3200 0.258 714469.55375105 714469.58102212 co9 6.6700 23.0600 0.289 946920.43028456 946920.49646302 cq5 1.2000 4.1800 0.287 400133.80747262 400133.80948837 cq9 4.3800 19.8700 0.220 505541.70980727 505541.70995496 crew1 0.2000 0.6400 0.313 20.55555556 20.55555577 ex3sta1 21.2200 40.6800 0.522 -63.07540325 -63.07540325 fit2d 0.4200 4.9100 0.086 -68464.29329383 -68464.29322924 fit2p 2.2000 0.9900 2.222 68464.29329383 68464.29329384 fome11 0.1500 171.3600 0.001 0.00000000 0.00257121 fome12 0.3200 347.7300 0.001 0.00000000 0.00514243 gen1 0.1300 4.6100 0.028 0.00000000 0.00000165 gen2 8.9200 7.0000 1.274 3.29279078 3.29279078 gen4 0.8100 12.9200 0.063 0.00000000 0.00000934 jendrec1 0.9500 3.2600 0.291 7028.46051135 7028.46051883 ken-11 0.2700 3.2900 0.082 -6972382262.51996900 -6972382262.51996900 ken-13 0.7800 6.9600 0.112 -1.0257394789482E+10 -1.0257394789482E+10 l30 11.9900 1.3300 9.015 0.95266133 0.94206073 lp22 17.4800 102.8600 0.170 458.94459411 458.94465074 maros-r7 1.3900 10.2600 0.135 1497185.16647964 1497185.16647965 mod2 2.7600 1184.6600 0.002 27737371.36444530 27737371.36747100 model10 7.0000 209.0000 0.033 -154599.62130064 -154599.62123990 model11 0.4600 2.0200 0.228 0.00000000 0.00016867 model5 1.8600 7.4900 0.248 -858440.72907343 -858440.71278465 model7 2.8100 32.9100 0.085 49380.08549287 49380.08553648 model9 0.7200 61.8900 0.012 -141123.09361215 -141123.09326554 nemspmm1 2.4400 2.0400 1.196 -327415.83567077 -327415.83567076 nemspmm2 2.3200 3.3600 0.690 -291794.83608908 -291794.82815276 nemswrld 23.3900 36.7600 0.636 260.30896600 260.30906290 nsir1 0.0900 24.2000 0.004 -28909033.00000000 -28909033.00000000 nsir2 0.2500 7.9200 0.032 -27175593.50000000 -27175593.49999990 nug15 1349.7700 2944.4900 0.458 1040.99404096 1040.99405336 osa-07 0.1800 18.6300 0.010 535722.51729935 535722.51730081 p010 0.5200 3.6500 0.142 1115047.91511082 1115047.91511083 p05 0.2400 1.5500 0.155 556000.27662588 556000.27662600 pcb3000 0.4800 1.7100 0.281 137416.41961282 137416.43123403 pilot87 8.0700 13.8700 0.582 301.71035949 301.71579925 qap15 1318.5300 2537.0500 0.520 1040.99404096 1040.99405335 r05 0.2100 7.6200 0.028 557831.85904066 557831.85904067 rat1 0.3000 14.9400 0.020 1999531.66287928 1999531.66288583 rat5 0.9000 13.4200 0.067 3083707.01043842 3083707.01043842 rosen10 0.4000 0.7800 0.513 -174215.45613870 -174215.45613870 scfxm1-2b-64 1.6300 4.1100 0.397 2877.56386371 2877.56386373 scfxm1-2r-64 0.8200 1.6200 0.506 2877.56386371 2877.56386371 scfxm1-2r-96 1.1600 8.0300 0.144 2891.70611371 2891.70611372 scrs8-2r-512 0.1400 126.9600 0.001 1074.09934157 1074.09934213 scsd8-2b-64 0.2600 0.9900 0.263 15.99866803 15.99866807 scsd8-2c-64 0.2400 1.0100 0.238 14.99923200 14.99923204 scsd8-2r-108 0.1100 0.5600 0.196 23.69999446 23.69999436 scsd8-2r-216 0.2200 1.2600 0.175 23.39998388 23.39998406 sctap1-2b-64 0.3000 2.0700 0.145 484.56000000 484.56000001 slptsk 0.8100 11.1600 0.073 29.89536602 29.89536602 south31 39.1100 3.2900 11.888 1818940197.10106000 1818940197.10107000 stocfor3 0.6800 2.2800 0.298 -39976.78394365 -39976.78394143 testbig 0.2400 1.1800 0.203 -60.42296073 -60.42296063 ulevimin 11.8700 68.9700 0.172 -5191101861.43196900 -5191101860.83442000 wood1p 0.0500 2.0400 0.025 1.44290241 1.44290249 world 2.7900 317.4900 0.009 40364873.11413520 40364873.11446890 bas1lp 3.2000 39.3100 0.081 363.00000000 363.00000000 cre-d 1.0800 2394.9500 0.000 24454969.76454920 24454969.76555750 fome13 0.6600 738.4000 0.001 0.00000000 0.01028485 fome20 3.0800 3468.3500 0.001 23821658640.00000000 23821658640.00010000 ken-18 5.1400 307.2900 0.017 -5.2217025287397E+10 -5.2217025287397E+10 kl02 0.2700 11.0100 0.025 215.25000000 215.25000010 nemsemm2 0.4600 5.8600 0.078 581079.57090468 581079.64415548 nsct2 0.8300 749.4100 0.001 -37175082.00000000 -37175081.99630621 osa-14 0.5000 87.0800 0.006 1106462.84473625 1106462.84474349 osa-30 1.0500 321.4500 0.003 2142139.87320976 2142139.87321565 pds-20 3.0800 3497.0400 0.001 23821658640.00000000 23821658640.00010000 rail507 5.9600 23.1700 0.257 172.14556668 172.14556691 rail516 2.5200 19.7300 0.128 182.00000000 182.00000071 rail582 3.4200 31.6400 0.108 209.71223296 209.71223301 rat7a 6.5400 38.3500 0.171 2074371.41572829 2074371.41572829 rlfddd 0.3200 12.3000 0.026 -13.00000000 -12.99999991 rlfdual 5.3400 56.7000 0.094 -1.00000000 -0.99999994 rlfprim 0.7400 81.7800 0.009 1.00000000 1.00000069 route 0.3200 9.6200 0.033 5941.65027667 5941.65027701 scfxm1-2r-256 6.6600 11.1500 0.597 2891.70611371 2891.70611386 scsd8-2r-432 0.4700 2.9500 0.159 25.79996956 25.79997250 sctap1-2r-480 0.8800 4.8200 0.183 248.50000000 248.50000001 t0331-4l 13.8400 23.0100 0.601 29730.03335194 29730.03335310 us04 0.3100 17.6800 0.018 17731.66666667 17731.66667227 dbic1 66.5000 1592.5100 0.042 -9768973.00000000 -9768973.00014886 dbir2 1.2800 229.4000 0.006 -6116916.50000000 -6116916.49999326 nemsemm1 1.0400 44.4600 0.023 512959.60078798 512959.68358962 nw14 1.0100 351.4600 0.003 61844.00000000 61844.00003897 osa-60 2.4000 2070.4700 0.001 4044072.50315742 4044072.50389521

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#### CPLEX: optimal -- IPOPT: feasible    Back to top

 Modelname Time (CPLEX) Time (IPOPT) Ratio (CPLEX/IPOPT) Obj (CPLEX) Obj (IPOPT) lpl3 0.9800 3706.6500 0.000 27318.00000000 34530.67856900 cre-b 1.8000 3644.3600 0.000 23129639.88683240 23129639.88704360 rail2586 929.8800 3607.5800 0.258 935.92182057 6557.33662890

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#### CPLEX: optimal -- IPOPT: fail    Back to top

 Modelname Time (CPLEX) Time (IPOPT) Ratio (CPLEX/IPOPT) Obj (CPLEX) Status (IPOPT) pds-06 0.2700 3600.2400 --- 27761037600.00000000 mstat( 6) sstat( 3) pds-10 0.6100 3600.0600 --- 26727094976.00000000 mstat( 6) sstat( 3) fome21 7.9700 3609.3300 --- 47346318912.00000000 mstat( 6) sstat( 3) nsct1 0.4400 3606.6400 --- -38922436.00000000 mstat( 6) sstat( 3) pds-30 7.4100 3630.3700 --- 21385445736.00000000 mstat( 6) sstat( 3) pds-40 11.7000 4024.9000 --- 18855198824.00000000 mstat( 6) sstat( 3) pds-50 18.2200 NA --- 16603525724.00000000 mstat(13) sstat(10) pds-60 25.6600 NA --- 14265904407.00000000 mstat(13) sstat(13) watson_1 14.3400 NA --- -1609.28079534 mstat(13) sstat(10) dbir1 0.8100 3614.7600 --- -8106707.00000000 mstat( 6) sstat( 3) pds-100 56.0300 35438.4600 --- 10928229968.00000000 mstat( 6) sstat( 3) pds-70 34.4800 NA --- 12241162812.00000000 mstat(13) sstat(10) pds-80 44.8600 NA --- 11469077462.00000000 mstat(13) sstat(13) pds-90 54.9600 NA --- 11087561635.00000000 mstat(13) sstat(13) rail4284 2681.7200 NA --- 1054.05449127 mstat(13) sstat(10) self 3.8700 NA --- 0.00000000 mstat(13) sstat(10)

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#### CPLEX: infeasible -- IPOPT: fail    Back to top

 Modelname Time (CPLEX) Time (IPOPT) Ratio (CPLEX/IPOPT) Status (CPLEX) Status (IPOPT) bgindy 0.1200 3603.5700 --- mstat( 4) sstat( 1) mstat( 6) sstat( 3) gosh 1.4300 3600.2300 --- mstat( 4) sstat( 1) mstat( 6) sstat( 3) lpl1 38.2100 3606.3000 --- mstat( 4) sstat( 1) mstat( 6) sstat( 3) sgpf5y6 22.9000 NA --- mstat( 4) sstat( 1) mstat(13) sstat(10)

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#### CPLEX: fail -- IPOPT: fail    Back to top

 Modelname Time (CPLEX) Time (IPOPT) Ratio (CPLEX/IPOPT) Status (CPLEX) Status (IPOPT) nug20 3616.8200 NA --- mstat( 6) sstat( 3) mstat(13) sstat(10) nug30 3674.2200 NA --- mstat( 6) sstat( 3) mstat(13) sstat(10)

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#### CPLEX: optimal:     Back to top

 Modelname Time (CPLEX) Obj (CPLEX) aa01 1.5400 55535.43638822 aa03 1.0000 49616.36363636 air02 0.0600 7640.00000000 air06 1.0200 49616.36363636 baxter 0.8500 56007255.67225311 car4 0.4100 35.46037017 cari 0.0600 581.89305779 co5 1.3700 714469.55375105 co9 6.6700 946920.43028456 cq5 1.2000 400133.80747262 cq9 4.3800 505541.70980727 crew1 0.2000 20.55555556 ex3sta1 21.2200 -63.07540325 fit2d 0.4200 -68464.29329383 fit2p 2.2000 68464.29329383 fome11 0.1500 0.00000000 fome12 0.3200 0.00000000 gen1 0.1300 0.00000000 gen2 8.9200 3.29279078 gen4 0.8100 0.00000000 jendrec1 0.9500 7028.46051135 ken-11 0.2700 -6972382262.51996900 ken-13 0.7800 -1.0257394789482E+10 l30 11.9900 0.95266133 lp22 17.4800 458.94459411 lpl3 0.9800 27318.00000000 maros-r7 1.3900 1497185.16647964 mod2 2.7600 27737371.36444530 model10 7.0000 -154599.62130064 model11 0.4600 0.00000000 model5 1.8600 -858440.72907343 model7 2.8100 49380.08549287 model9 0.7200 -141123.09361215 nemspmm1 2.4400 -327415.83567077 nemspmm2 2.3200 -291794.83608908 nemswrld 23.3900 260.30896600 nsir1 0.0900 -28909033.00000000 nsir2 0.2500 -27175593.50000000 nug15 1349.7700 1040.99404096 osa-07 0.1800 535722.51729935 p010 0.5200 1115047.91511082 p05 0.2400 556000.27662588 pcb3000 0.4800 137416.41961282 pds-06 0.2700 27761037600.00000000 pds-10 0.6100 26727094976.00000000 pilot87 8.0700 301.71035949 qap15 1318.5300 1040.99404096 r05 0.2100 557831.85904066 rat1 0.3000 1999531.66287928 rat5 0.9000 3083707.01043842 rosen10 0.4000 -174215.45613870 scfxm1-2b-64 1.6300 2877.56386371 scfxm1-2r-64 0.8200 2877.56386371 scfxm1-2r-96 1.1600 2891.70611371 scrs8-2r-512 0.1400 1074.09934157 scsd8-2b-64 0.2600 15.99866803 scsd8-2c-64 0.2400 14.99923200 scsd8-2r-108 0.1100 23.69999446 scsd8-2r-216 0.2200 23.39998388 sctap1-2b-64 0.3000 484.56000000 slptsk 0.8100 29.89536602 south31 39.1100 1818940197.10106000 stocfor3 0.6800 -39976.78394365 testbig 0.2400 -60.42296073 ulevimin 11.8700 -5191101861.43196900 wood1p 0.0500 1.44290241 world 2.7900 40364873.11413520 bas1lp 3.2000 363.00000000 cre-b 1.8000 23129639.88683240 cre-d 1.0800 24454969.76454920 fome13 0.6600 0.00000000 fome20 3.0800 23821658640.00000000 fome21 7.9700 47346318912.00000000 ken-18 5.1400 -5.2217025287397E+10 kl02 0.2700 215.25000000 nemsemm2 0.4600 581079.57090468 nsct1 0.4400 -38922436.00000000 nsct2 0.8300 -37175082.00000000 osa-14 0.5000 1106462.84473625 osa-30 1.0500 2142139.87320976 pds-20 3.0800 23821658640.00000000 pds-30 7.4100 21385445736.00000000 pds-40 11.7000 18855198824.00000000 pds-50 18.2200 16603525724.00000000 pds-60 25.6600 14265904407.00000000 rail507 5.9600 172.14556668 rail516 2.5200 182.00000000 rail582 3.4200 209.71223296 rat7a 6.5400 2074371.41572829 rlfddd 0.3200 -13.00000000 rlfdual 5.3400 -1.00000000 rlfprim 0.7400 1.00000000 route 0.3200 5941.65027667 scfxm1-2r-256 6.6600 2891.70611371 scsd8-2r-432 0.4700 25.79996956 sctap1-2r-480 0.8800 248.50000000 t0331-4l 13.8400 29730.03335194 us04 0.3100 17731.66666667 watson_1 14.3400 -1609.28079534 dbic1 66.5000 -9768973.00000000 dbir1 0.8100 -8106707.00000000 dbir2 1.2800 -6116916.50000000 nemsemm1 1.0400 512959.60078798 nw14 1.0100 61844.00000000 osa-60 2.4000 4044072.50315742 pds-100 56.0300 10928229968.00000000 pds-70 34.4800 12241162812.00000000 pds-80 44.8600 11469077462.00000000 pds-90 54.9600 11087561635.00000000 rail2586 929.8800 935.92182057 rail4284 2681.7200 1054.05449127 self 3.8700 0.00000000

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#### CPLEX: infeasible:     Back to top

 Modelname Time (CPLEX) Status (CPLEX) bgindy -- mstat( 4) sstat( 1) gosh -- mstat( 4) sstat( 1) lpl1 -- mstat( 4) sstat( 1) sgpf5y6 -- mstat( 4) sstat( 1)

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#### CPLEX: fail:     Back to top

 Modelname Time (CPLEX) Status (CPLEX) nug20 -- mstat( 6) sstat( 3) nug30 -- mstat( 6) sstat( 3)

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#### IPOPT: optimal:     Back to top

 Modelname Time (IPOPT) Obj (IPOPT) 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

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#### IPOPT: feasible:     Back to top

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

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#### IPOPT: fail:     Back to top

 Modelname Time (IPOPT) Status (IPOPT) bgindy -- mstat( 6) sstat( 3) gosh -- mstat( 6) sstat( 3) pds-06 -- mstat( 6) sstat( 3) pds-10 -- mstat( 6) sstat( 3) fome21 -- mstat( 6) sstat( 3) lpl1 -- mstat( 6) sstat( 3) nsct1 -- mstat( 6) sstat( 3) 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) dbir1 -- mstat( 6) sstat( 3) nug30 -- mstat(13) sstat(10) 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)

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