# Search Patterns Based on Trajectories Extracted from the Response of Second-Order Systems
## 7 Experimental Results
### Performance Evaluation with CEC 2017
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline  & & **ABC** & **CMAES** & **CSA** & **DE** & **MFO** & **PSO** & **SOA** \\ \hline \multirow{3}{*}{\(F_{1}(x)\)} & **AB** & 31,543,508.93 & 16,816,680,165 & 62,350,211,795 & 92,576,614.71 & 9,869,100,268 & 5,754,474,631 & 389,770,985.4 \\  & **MD** & 31,272,497.07 & 10,317,001,637 & 62,180,271,044 & 90,540,094.66 & 8,120,831,786 & 5,716,932,117 & 348,397,609.3 \\  & **SD** & 11,711,445.55 & 18,287,769,833 & 6,701,490,748 & 19,876,885.3 & 6,276,129,768 & 3,760,493,838 & 175,590,731.3 \\ \hline \multirow{3}{*}{\(F_{2}(x)\)} & **AB** & 4.9441 \(\times 10^{22}\) & 1.9584 \(\times 10^{22}\) & 9.584 \(\times 10^{23}\) & 4.6409 \(\times 10^{32}\) & 1.32094 \(\times 10^{37}\) & 1.8354 \(\times 10^{43}\) & 2.4753 \(\times 10^{19}\) \\  & **MD** & 8.92 \(\times 10^{31}\) & 7.2683 \(\times 10^{41}\) & 5.1378 \(\times 10^{22}\) & 9.165 \(\times 10^{31}\) & 5.8224 \(\times 10^{31}\) & 1.5174 \(\times 10^{31}\) & 4.8076 \(\times 10^{12}\) \\  & **SD** & 8.1141 \(\times 10^{12}\) & 3.0961 \(\times 10^{22}\) & 2.7242 \(\times 10^{44}\) & 9.8904 \(\times 10^{32}\) & 5.35797 \(\times 10^{37}\) & 1.0053 \(\times 10^{44}\) & 1.2579 \(\times 10^{20}\) \\ \hline \multirow{3}{*}{\(F_{3}(x)\)} & **AB** & 143,858.796 & 206,258.738 & 184,993.575 & 141,507,4456 & 79,667,257 & 501,537,766 \\  & **MD** & 143,614.585 & 201,904.141 & 104,066.094 & 187,839,624 & 132,229,1115 & 69,068,2299 & 47,032,1654 \\  & **SD** & 17,888.252 & 52,000.2984 & 149,593.9048 & 27,184.1578 & 57,378,8477 & 39,077,8042 & 20,560,6136 \\ \hline \multirow{3}{*}{\(F_{4}(x)\)} & **AB** & 558.75833 & 3855.6622 & 16,385.5764 & 558.09385 & 1026,441012 & 937,069787 & 547.952065 \\  & **MD** & 562.142677 & 3566.57161 & 16,520.3929 & 556.117066 & 856.5465617 & 890.326594 & 544.342148 \\  & **SD** & 20.2914617 & 1429.47447 & 3040.62335 & 23.4459834 & 629.655489 & 361.015317 & 20,9881356 \\ \hline \multirow{3}{*}{\(F_{5}(x)\)} & **AB** & 730.381143 & 825.655628 & 951.170114 & 721.540918 & 692.7089629 & 629.566432 & 631.994737 \\  & **MD** & 732.333214 & 847.872393 & 951.759754 & 720.602523 & 694.741404 & 634.793518 & 630.746916 \\  & **SD** & 12.7345432 & 66.2497783 & 22.7361791 & 9.29337642 & 42.18671231 & 29.110803 & 26.6185453 \\ \hline \multirow{3}{*}{\(F_{6}(x)\)} & **AB** & 603.83984 & 669.750895 & 691.817816 & 604.9019193 & 632.8602211 & 612.053243 & 609.329809 \\  & **MD** & 603.736524 & 668.724864 & 691.322797 & 604.969262 & 632.47713956 & 611.0114645 & 608.784467 \\  & **SD** & 0.60630828 & 9.3375723 & 6.33324596 & 6.058083 & 8.875276889 & 5.83130625 & 2.23326029 \\ \hline \multirow{3}{*}{\(F_{7}(x)\)} & **AB** & 977.074304 & 889.858004 & 1868.59237 & 983.896545 & 1085.414574 & 850.625181 & 933.44086 \\  & **MD** & 977.307172 & 899.416046 & 1847.81046 & 988.619865 & 1067.152488 & 837.191947 & 939.402368 \\  & **SD** & 13.674818 & 39.0420544 & 125.687304 & 17.0217457 & 139.9764841 & 43.9666771 & 25.6723087 \\ \hline \multirow{3}{*}{\(F_{8}(x)\)} & **AB** & 1033.74747 & 1047.6713 & 1181.82055 & 1023.57155 & 991.3574401 & 914.911462 & 920.212894 \\  & **MD** & 1035.62163 & 1026.79246 & 1181.41759 & 1023.90313 & 992.7702619 & 916.328125 & 921.260403 \\  & **SD** & 13.5776161 & 86.6169315 & 29.0041369 & 12.1336359 & 43.3464627 & 24.9852693 & 21.5473475 \\ \hline \multirow{3}{*}{\(F_{9}(x)\)} & **AB** & 1926.96476 & 900 & 150,976.7081 & 6434.26285 & 6487.6152 & 2436.07714 & 3251.16746 \\  & **MD** & 1839.55359 & 900 & 155,358.9087 & 6327.72188 & 576.801998 & 2313.79194 & 2702.63581 \\  & **SD** & 333.208904 & 0 & 1637.81695 & 887.500363 & 2250.718589 & 920.338184 & 1462.45439 \\ \hline \multirow{3}{*}{\(F_{10}(x)\)} & **AB** & 8559.09425 & 8026.51416 & 8695.92279 & 7235.23129 & 5260.90201 & 5136.84827 & 4524.56624 \\ \cline{1-1}  & **MD** & 8598.36183 & 7 According to Table 7, SOA provides better results than ABC, CMAES, CSA, DE, MFO and PSO for almost all functions.