Table A7.

The Wilcoxon Test Result Between ESOA And Other Algorithm On CEC17 Benchmark Functions.

		ESOA vs. PSO	ESOA vs. GA	ESOA vs. DE	ESOA vs. GWO	ESOA vs. HHO
${\mathbb{F}}_1$	30	$1.15\times {10}^{-83}$	$1.49\times {10}^{-64}$	$7.73\times {10}^{-47}$	$7.59\times {10}^{-14}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_2$	30	N/A	N/A	N/A	N/A	N/A
${\mathbb{F}}_3$	30	$4.87\times {10}^{-81}$	$1.26\times {10}^{-83}$	$1.12\times {10}^{-83}$	$2.50\times {10}^{-82}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_4$	30	$1.26\times {10}^{-83}$	$5.97\times {10}^{-4}$	$1.44\times {10}^{-26}$	$1.81\times {10}^{-57}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_5$	30	$1.26\times {10}^{-83}$	$3.35\times {10}^{-40}$	$2.64\times {10}^{-83}$	$7.09\times {10}^{-10}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_6$	30	$1.26\times {10}^{-83}$	$2.73\times {10}^{-71}$	$3.23\times {10}^{-50}$	$1.44\times {10}^{-23}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_7$	30	$1.26\times {10}^{-83}$	$1.26\times {10}^{-83}$	$1.63\times {10}^{-30}$	$2.45\times {10}^{-13}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_8$	30	$1.03\times {10}^{-83}$	$2.68\times {10}^{-80}$	$6.81\times {10}^{-11}$	$3.17\times {10}^{-22}$	$2.62\times {10}^{-83}$
${\mathbb{F}}_9$	30	$3.82\times {10}^{-82}$	$2.80\times {10}^{-74}$	$4.34\times {10}^{-51}$	$8.96\times {10}^{-80}$	$9.99\times {10}^{-56}$
${\mathbb{F}}_{10}$	30	$3.69\times {10}^{-45}$	$1.87\times {10}^{-83}$	$7.29\times {10}^{-84}$	$1.93\times {10}^{-81}$	$1.33\times {10}^{-83}$
${\mathbb{F}}_{11}$	30	$2.74\times {10}^{-82}$	$1.26\times {10}^{-83}$	$2.13\times {10}^{-54}$	$4.73\times {10}^{-72}$	$1.25\times {10}^{-83}$
${\mathbb{F}}_{12}$	30	$1.26\times {10}^{-83}$	$3.69\times {10}^{-35}$	$1.16\times {10}^{-6}$	$2.29\times {10}^{-62}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_{13}$	30	$1.27\times {10}^{-83}$	$3.06\times {10}^{-22}$	$6.17\times {10}^{-33}$	$3.57\times {10}^{-46}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_{14}$	30	$8.57\times {10}^{-66}$	$1.87\times {10}^{-63}$	$1.90\times {10}^{-37}$	$1.18\times {10}^{-83}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_{15}$	30	$1.97\times {10}^{-46}$	$1.49\times {10}^{-20}$	$1.20\times {10}^{-83}$	$5.85\times {10}^{-73}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_{16}$	30	$2.53\times {10}^{-76}$	$1.08\times {10}^{-1}$	$1.74\times {10}^{-76}$	$1.21\times {10}^{-82}$	$2.87\times {10}^{-76}$
${\mathbb{F}}_{17}$	30	N/A	N/A	N/A	N/A	N/A
${\mathbb{F}}_{18}$	30	$2.76\times {10}^{-14}$	$1.26\times {10}^{-83}$	$9.89\times {10}^{-84}$	$1.94\times {10}^{-17}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_{19}$	30	$3.27\times {10}^{-18}$	$4.91\times {10}^{-13}$	$2.83\times {10}^{-37}$	$1.15\times {10}^{-72}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_{20}$	30	N/A	N/A	N/A	N/A	N/A
${\mathbb{F}}_{21}$	30	$3.91\times {10}^{-79}$	$7.58\times {10}^{-74}$	$2.81\times {10}^{-62}$	$3.86\times {10}^{-6}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_{22}$	30	$1.26\times {10}^{-83}$	$1.46\times {10}^{-4}$	$2.08\times {10}^{-81}$	$1.24\times {10}^{-83}$	$4.64\times {10}^{-83}$
${\mathbb{F}}_{23}$	30	$1.21\times {10}^{-83}$	$3.94\times {10}^{-82}$	$2.41\times {10}^{-20}$	$1.46\times {10}^{-75}$	$1.49\times {10}^{-83}$
${\mathbb{F}}_{24}$	30	$3.27\times {10}^{-54}$	$7.40\times {10}^{-79}$	$8.32\times {10}^{-19}$	$2.84\times {10}^{-30}$	$1.45\times {10}^{-83}$
${\mathbb{F}}_{25}$	30	$1.26\times {10}^{-83}$	$3.93\times {10}^{-6}$	$2.23\times {10}^{-17}$	$1.76\times {10}^{-4}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_{26}$	30	$1.32\times {10}^{-83}$	$1.63\times {10}^{-54}$	$1.11\times {10}^{-72}$	$1.33\times {10}^{-44}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_{27}$	30	$5.37\times {10}^{-67}$	$1.81\times {10}^{-75}$	$4.86\times {10}^{-79}$	$1.97\times {10}^{-4}$	$1.26\times {10}^{-83}$
${\mathbb{F}}_{28}$	30	$1.25\times {10}^{-83}$	$1.26\times {10}^{-83}$	$6.87\times {10}^{-10}$	$6.62\times {10}^{-4}$	$1.37\times {10}^{-83}$
${\mathbb{F}}_{29}$	30	N/A	N/A	N/A	N/A	N/A