Resource Time Comparison

Resource Times: Considers all models.

Date / Time: 05/15/03 15:17:06

Total resource time for all models.

See the solver return definitions for optimal/feasible model and solve statuses. Solutions are not checked for how close they are to eachother. Resource times are considered the same, if they are within 10% of eachother. A solver is considered faster than another, if it is less than 50% faster than the other. A solver is considered much faster than another, if it is more than 50% faster than the other.

If a model was not solved optimal/feasible by both solvers, the resource time is considered the same. If a model was solved optimal/feasible by solver A but not by solver B, then solver A is considered infinitely faster than solver B. Similarly, if one solver has trace data and the other has no data, then the first solver is consideredinfinitely faster.

A solver is considered to have a better objective function value, if the relative objective value difference is greater than 1.00E-05 For objective values below 1e-1 we use absolute differences.

Tracefile 1 :	`ipopt.trc`
Tracefile 2 :	`loqo.trc`
Solvers used :	`IPOPT`
	`LOQO`
Modeltype(s)	NLP

	Total	Obj IPOPT better	Obj same	Obj LOQO better
Solver IPOPT infinitely faster :	`5`	`5`	-	-
Solver IPOPT much faster :	-	-	-	-
Solver IPOPT faster :	`2`	-	`2`	-
Solvers perform the same :	`18`	-	`17`	`1`
Solver LOQO faster :	`2`	-	`2`	-
Solver LOQO much faster :	-	-	-	-
Solver LOQO infinitely faster :	`5`	-	-	`5`
Both solvers failed to solve optimally :	`1`	-	`1`	-
Total models: :	`33`	`5`	`22`	`6`

Solver return definition:

Outcome	Model Status	Solver Status
globally optimal	1 or 15	1
locally optimal/feasible	2 or 8 or 16	1 or 2 or 3 or 4 or 5

Resource Times:

Models for each resource time category. Listed are the solver resource times in seconds, as well as the ratio of resource times for the two solvers if both solved optimally. Models not solved optimally by a solver have status listed instead of resource time.
Also listed are the objective values 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.
Solver resource time ratios for a particular model are listed only if both solvers are optimal and if one solver has resource time greater than 5.00E-02.

Solver IPOPT infinitely faster - Obj of IPOPT better:

Modelname	IPOPT	LOQO	Ratio (IPOPT / LOQO)	Obj IPOPT	Obj LOQO
`him20`	`0.0400`	`fail`	--	`5.56580430E+00`	-9.99999900E+06
`luenber`	`0.0200`	`fail`	--	`-6.06644138E+02`	-5.93686614E+02
`robot_b`	`4.7400`	`fail`	--	`1.38998735E+01`	1.83423840E+02
`robot_c`	`6.5900`	`fail`	--	`1.13123948E+01`	2.12901780E+00
`sp1sinus`	`0.0200`	`fail`	--	`1.81199705E+02`	-8.62928394E+00

Solver IPOPT faster - Obj same for both solvers:

Modelname	IPOPT	LOQO	Ratio (IPOPT / LOQO)	Obj IPOPT	Obj LOQO
`him6mod1`	`0.0700`	`0.1100`	`0.636`	`-1.91038283E+03`	`-1.91038283E+03`
`him6mod2`	`0.1100`	`0.1300`	`0.846`	`-1.91037196E+03`	`-1.91037196E+03`

Solvers

Modelname IPOPT LOQO Ratio

`antenna123`

`argauss`

`betting`

`chamb2`

`dembo4c`

`gimuwri`

`girder`

`him23`

`him31`

`maratos`

`net1`

`noceover`

`powell`

`robot_a`

`sp6`

`sp7`

`undefexa`

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(IPOPT / LOQO) Obj IPOPT Obj LOQO 0.00000.0100--- 2.20519868E-01 2.20519868E-01 0.00000.0000--- 1.12793277E-08 1.12793277E-08 0.02000.06000.333 -6.29973206E+00 -6.29973206E+00 0.02000.0100--- 1.00000000E+00 1.00000000E+00 0.00000.0100--- 3.95213948E+00 3.95213939E+00 0.00000.0100--- -1.08866211E+00 -1.08866211E+00 0.01000.0300--- 9.06345408E-01 9.06345385E-01 0.03000.0400--- -1.73556958E+03 -1.73556956E+03 0.00000.0100--- 1.77224103E-01 1.77224103E-01 0.01000.0100--- -9.99999970E-01 -9.99999992E-01 0.00000.0100--- 1.59900000E+03 1.59900000E+03 0.00000.0100--- -1.20000000E+01 -1.20000001E+01 0.00000.0100--- 1.00000000E+00 1.00000000E+00 16.020016.93000.946 1.06466037E+00 1.06466032E+00 0.00000.0200--- -1.41421356E+00 -1.41421356E+00 0.00000.0100--- 3.50000001E+00 3.49999999E+00 0.01000.0100--- -3.11520312E+00 -3.11520314E+00 href="#top">Back to top

Solvers perform the same: Back to top

Modelname	IPOPT	LOQO	Ratio (IPOPT / LOQO)	Obj IPOPT	Obj LOQO
`chamb1`	`0.0100`	`0.0100`	`---`	`1.18518519E+00`	`3.75000019E-01`

Solver LOQO faster - Obj same for both solvers:

Modelname	IPOPT	LOQO	Ratio (IPOPT / LOQO)	Obj IPOPT	Obj LOQO
`dembo1b`	`0.0300`	`0.2500`	`0.120`	`3.16821463E+00`	`3.16821462E+00`
`fairing`	`0.1600`	`0.1000`	`1.600`	`2.40677522E-03`	`2.40674496E-03`

Solver LOQO infinitely faster - Obj of LOQO better:

Modelname	IPOPT	LOQO	Ratio (IPOPT / LOQO)	Obj IPOPT	Obj LOQO
`him13`	`fail`	`0.0300`	--	`-4.27363300E+05`	`-5.30468009E+06`
`nlpdegen`	`fail`	`0.0100`	--	`-9.99999900E+06`	`8.74369407E+02`
`polygon`	`fail`	`0.4700`	--	`-2.00501706E+00`	`-1.38017966E+00`
`qpdegen`	`fail`	`0.0200`	--	`-9.99999900E+06`	`3.16797859E-09`
`sp3`	`fail`	`0.0200`	--	`2.92593219E+01`	`5.00000000E+00`

Both solvers failed to solve optimally - Obj same for both solvers:

Modelname	IPOPT	LOQO	Ratio (IPOPT / LOQO)	Obj IPOPT	Obj LOQO
`chain`	`fail`	`infeasible`	--	`7.18945035E+00`	`-9.99999900E+06`

Modelname	IPOPT	LOQO	Ratio
`antenna123`
`argauss`
`betting`
`chamb2`
`dembo4c`
`gimuwri`
`girder`
`him23`
`him31`
`maratos`
`net1`
`noceover`
`powell`
`robot_a`
`sp6`
`sp7`
`undefexa`