Table 3.

Mean statistical results of the algorithms based on 14 benchmark functions.

Function	ISMA	SMA	SOA	MFO	POA	GWO	ESMA	DFSMA
F1	0.000	1.500 × 10−323	8.496 × 10−12	1.341 × 103	1.525 × 10−103	1.619 × 10−28	5.106 × 10−297	2.320 × 10−292
F2	0.000	6.348 × 10−147	1.590 × 10−8	3.685 × 10	6.001 × 10−52	9.760 × 10−17	3.758 × 10−168	9.280 × 10−153
F3	0.000	1.446 × 10−313	1.258 × 10−4	2.109 × 104	3.735 × 10−100	7.918 × 10−6	2.970 × 10−296	5.900 × 10−323
F4	0.000	1.007 × 10−148	1.758 × 10−2	6.794 × 10	2.443 × 10−51	6.649 × 10−7	4.231 × 10−141	1.983 × 10−160
F5	2.550	1.207 × 101	2.822 × 10	2.688 × 106	2.810 × 10	2.682 × 10	5.415	3.262
F6	4.239 × 10−4	7.500 × 10−3	3.306	1.680 × 103	2.829	7.552 × 10−1	5.803 × 10−3	5.431 × 10−3
F7	1.211 × 10−4	1.805 × 10−4	2.631 × 10−3	5.766	2.363 × 10−4	1.657 × 10−3	1.950 × 10−4	1.685 × 10−4
F8	−1.257 × 104	−1.257 × 104	−4.861 × 103	9.933 × 102	−7.642 × 103	−5.930 × 103	−1.256 × 104	−1.256 × 104
F9	0.000	0.000	1.297	1.714 × 102	0.000	4.815	0.000	0.000
F10	8.882 × 10−16	8.882 × 10−16	1.996 × 10	1.448 × 10	3.257 × 10−15	9.456 × 10−14	8.882 × 10−16	8.882 × 10−16
F11	0.000	0.000	2.989 × 10−2	1.591 × 10	0.000	4.596 × 10−3	0.000	0.000
F12	3.098 × 10−4	5.500 × 10−3	3.439 × 10−1	8.534 × 106	1.926 × 10−1	5.065 × 10−2	5.237 × 10−3	4.620 × 10−3
F13	1.700 × 10−3	1.240 × 10−2	2.057	2.381 × 102	2.589	5.603 × 10−1	6.689 × 10−3	6.933 × 10−3
F14	9.980 × 10−1	1.013	2.150	1.823	1.823	4.655	9.981 × 10−1	9.981 × 10−1