results.txt

Optimums:

Function	Dim	DIRECT	MADS*	Nelder-Mead	Powell	Cross entropy*	Combination*
Ackley	5	0	0	15.76	0	0	0
Michaelewicz	2	-1.8	-1.8	-1.2	-1.2	-1.8	-1.8
Branin	2	0.39789	0.39789	0.39795	0.39789	0.39789	0.39794
Flower	2	-0.81	-0.98	-1	-1	-0.89	-1
Ackley	100	16.49	0.01	17.27	0	3.58	2.70
Michaelewicz	100	-10.87	-64.57	-12.32	-74.18	-46.41	-44.08

Number of evaluations:

Function	Dimension	DIRECT	MADS*	Nelder-Mead	Powell	Cross entropy*	Combination*
Ackley	5	345	539	138	583	1660	409
Michaelewicz	2	169	105	41	98	780	267
Branin	2	451	153	51	142	760	242
Flower	2	277	288	113	1166	1400	287
Ackley	100	8873	50908	1353	80719	5880	2353
Michaelewicz	100	5131	36491	2128	20810	6700	3954

(* The MADS, Cross entropy and Combination methods are stochastic processes, so YMMV.)