Table 4.

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

Function	ISMA	SMA	SOA	MFO	POA	GWO	ESMA	DFSMA
F1	0.000	0.000	1.787 × 10−11	4.340 × 103	7.328 × 10−103	2.412 × 10−27	0.000	0.000
F2	0.000	3.477 × 10−146	1.791 × 10−8	2.778 × 10	2.117 × 10−51	5.044 × 10−17	1.776 × 10−156	5.082 × 10−152
F3	0.000	0.000	5.100 × 10−4	9.875 × 103	1.932 × 10−99	1.388 × 10−5	0.000	0.000
F4	0.000	5.518 × 10−148	7.711 × 10−2	6.246	1.187 × 10−50	5.612 × 10−7	2.317 × 10−140	1.086 × 10−159
F5	5.023	1.354 × 1001	2.883 × 10	2.004 × 102	8.098 × 10−1	2.711 × 10	9.366	7.662
F6	7.757 × 10−4	3.100 × 10−3	4.505 × 10−1	3.795 × 103	6.616 × 10−1	3.078 × 10−1	3.336 × 10−3	2.451 × 10−3
F7	1.110 × 10−4	1.431 × 10−4	2.043 × 10−3	1.143 × 101	1.797 × 10−04	8.672 × 10−4	1.527 × 10−4	1.715 × 10−4
F8	3.087 × 10−1	1.575 × 101	4.834 × 102	3.985 × 103	7.531 × 1002	8.413 × 102	4.327 × 10−1	3.812 × 10−1
F9	0.000	0.000	2.348	4.479 × 101	0.000	7.065	0.000	0.000
F10	0.000	0.000	1.540 × 10−3	6.998	1.703 × 10−15	1.410 × 10−14	0.000	0.000
F11	0.000	0.000	5.084 × 10−2	3.407 × 101	0.000	9.000 × 10−3	0.000	0.000
F12	6.516 × 10−4	5.000 × 10−3	1.016 × 10−1	2.492 × 102	7.090 × 10−02	1.918 × 10−2	7.366 × 10−3	6.237 × 10−3
F13	2.100 × 10−3	1.230 × 10−2	1.449 × 10−1	8.193 × 102	4.345 × 10−1	2.567 × 10−1	8.739 × 10−3	8.789 × 10−3
F14	3.593 × 10−13	6.655 × 10−2	1.891	1.399	1.399	4.146	5.955 × 10−13	4.627 × 10−13