Table 4.

Benchmark function optimization results (D = 30).

Function	Index	GJO	SABO	SCSO	POA	SCA	OOA	IOOA
F1	Mean	$2.51\times {10}^{-111}$	0	$4.52\times {10}^{-229}$	$2.98\times {10}^{-207}$	$1.81\times {10}^{-2}$	0	0
	Std	$1.21\times {10}^{-110}$	0	0	0	$6.91\times {10}^{-2}$	0	0
	Rank	6	2	4	5	7	2	2
F2	Mean	$1.52\times {10}^{-65}$	$6.44\times {10}^{-224}$	$7.29\times {10}^{-119}$	$2.52\times {10}^{-108}$	$9.54\times {10}^{-6}$	0	0
	Std	$3.87\times {10}^{-65}$	0	$3.97\times {10}^{-118}$	$1.11\times {10}^{-107}$	$1.42\times {10}^{-5}$	0	0
	Rank	6	3	4	5	7	1.5	1.5
F3	Mean	$1.45\times {10}^{-37}$	$3.62\times {10}^{-87}$	$2.21\times {10}^{-197}$	$1.21\times {10}^{-211}$	$3.77\times {10}^3$	0	0
	Std	$5.98\times {10}^{-37}$	$1.80\times {10}^{-86}$	0	0	$2.63\times {10}^3$	0	0
	Rank	6	5	4	3	7	1.5	1.5
F4	Mean	$4.21\times {10}^{-33}$	$1.61\times {10}^{-155}$	$2.28\times {10}^{-101}$	$5.38\times {10}^{-105}$	$2.38\times {10}^1$	0	0
	Std	$1.11\times {10}^{-32}$	$2.93\times {10}^{-155}$	$6.06\times {10}^{-101}$	$2.91\times {10}^{-104}$	$1.12\times {10}^1$	0	0
	Rank	6	3	5	4	7	1.5	1.5
F5	Mean	$2.78\times {10}^1$	$2.82\times {10}^1$	$2.80\times {10}^1$	$2.76\times {10}^1$	$9.38\times {10}^{-2}$	$7.18\times {10}^{-3}$	$\mathbf{2}.\mathbf{53}\times {\mathbf{10}}^{-\mathbf{10}}$
	Std	$7.46\times {10}^{-1}$	$5.54\times {10}^{-1}$	$6.99\times {10}^{-1}$	$9.49\times {10}^{-1}$	$3.52\times {10}^3$	$2.37\times {10}^{-2}$	$\mathbf{7}.\mathbf{74}\times {\mathbf{10}}^{-\mathbf{10}}$
	Rank	4	6	5	3	7	2	1
F6	Mean	2.62	1.97	1.64	2.59	4.55	$7.00\times {10}^{-8}$	$\mathbf{2}.\mathbf{89}\times {\mathbf{10}}^{-\mathbf{14}}$
	Std	$4.81\times {10}^{-1}$	$5.22\times {10}^{-1}$	$5.38\times {10}^{-1}$	$5.41\times {10}^{-1}$	$4.92\times {10}^{-1}$	$2.24\times {10}^{-7}$	$\mathbf{7}.\mathbf{38}\times {\mathbf{10}}^{-\mathbf{14}}$
	Rank	5	4	3	6	7	2	1
F7	Mean	$2.37\times {10}^{-4}$	$6.33\times {10}^{-5}$	$4.80\times {10}^{-5}$	$1.01\times {10}^{-4}$	$3.11\times {10}^{-2}$	$2.80\times {10}^{-5}$	$\mathbf{2}.\mathbf{65}\times {\mathbf{10}}^{-\mathbf{5}}$
	Std	$1.37\times {10}^{-4}$	$4.88\times {10}^{-5}$	$5.28\times {10}^{-5}$	$6.72\times {10}^{-5}$	$3.15\times {10}^{-2}$	$2.31\times {10}^{-5}$	$\mathbf{2}.\mathbf{12}\times {\mathbf{10}}^{-\mathbf{5}}$
	Rank	6	4	3	5	7	2	1
F8	Mean	$4.23\times {10}^{-15}$	$4.44\times {10}^{-16}$	$4.44\times {10}^{-16}$	$3.05\times {10}^3$	$1.08\times {10}^1$	$4.00\times {10}^{-15}$	$\mathbf{4}.\mathbf{44}\times {\mathbf{10}}^{-\mathbf{16}}$
	Std	$9.01\times {10}^{-16}$	0	0	$1.60\times {10}^{-15}$	9.57	0	0
	Rank	6	2	2	4	7	5	2
F9	Mean	$2.18\times {10}^{-1}$	$1.31\times {10}^{-1}$	$7.53\times {10}^{-2}$	$1.70\times {10}^{-1}$	2.31	$1.26\times {10}^{-13}$	$\mathbf{1}.\mathbf{49}\times {\mathbf{10}}^{-\mathbf{14}}$
	Std	$1.19\times {10}^{-1}$	$5.20\times {10}^{-2}$	$4.13\times {10}^{-2}$	$5.51\times {10}^{-2}$	2.65	$3.36\times {10}^{-13}$	$\mathbf{7}.\mathbf{61}\times {\mathbf{10}}^{-\mathbf{14}}$
	Rank	6	4	3	5	7	1	2
F10	Mean	1.66	2.76	2.31	2.74	$1.50\times {10}^3$	$7.33\times {10}^{-4}$	$\mathbf{2}.\mathbf{00}\times {\mathbf{10}}^{-\mathbf{11}}$
	Std	$2.41\times {10}^{-1}$	$4.83\times {10}^{-1}$	$3.87\times {10}^{-1}$	$3.57\times {10}^{-1}$	$7.70\times {10}^3$	$2.79\times {10}^{-3}$	$\mathbf{8}.\mathbf{89}\times {\mathbf{10}}^{-\mathbf{11}}$
	Rank	3	6	4	5	7	2	1
Rank-Count		54	39	37	45	70	20.5	14.5
Ave-Rank		5.4	3.9	3.7	4.5	7.0	2.05	1.45
Overall-Rank		6	4	3	5	7	2	1