## 3 Numerical Experiments and Analysis
### Hybrid Algorithm Based on CC-SHADE-ML and MTS-LS1
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline  & & \(F_{1}\) & \(F_{2}\) & \(F_{3}\) & \(F_{4}\) & \(F_{5}\) & \(F_{6}\) & \(F_{7}\) & \(F_{8}\) \\ \hline \multirow{4}{*}{\(1.2\times 10^{5}\)} & BEST & \(8.00\times 10^{7}\) & \(5.42\times 10^{3}\) & \(2.08\times 10^{1}\) & \(2.98\times 10^{10}\) & \(2.83\times 10^{6}\) & \(1.05\times 10^{6}\) & \(4.36\times 10^{8}\) & \(4.37\times 10^{14}\) \\  & MEADIAN & \(8.98\times 10^{8}\) & \(1.03\times 10^{4}\) & \(2.12\times 10^{1}\) & \(8.49\times 10^{10}\) & \(5.50\times 10^{6}\) & \(1.06\times 10^{6}\) & \(1.84\times 10^{9}\) & \(3.58\times 10^{15}\) \\  & WORST & \(4.51\times 10^{9}\) & \(1.29\times 10^{4}\) & \(2.13\times 10^{1}\) & \(4.80\times 10^{11}\) & \(8.97\times 10^{6}\) & \(1.06\times 10^{6}\) & \(8.26\times 10^{9}\) & \(4.48\times 10^{16}\) \\  & MEADIAN & \(1.58\times 10^{9}\) & \(9.94\times 10^{3}\) & \(2.11\times 10^{1}\) & \(1.13\times 10^{11}\) & \(5.66\times 10^{6}\) & \(1.06\times 10^{6}\) & \(2.20\times 10^{9}\) & \(8.33\times 10^{15}\) \\  & STD & \(1.49\times 10^{9}\) & \(1.93\times 10^{3}\) & \(1.35\times 10^{1}\) & \(9.03\times 10^{10}\) & \(1.93\times 10^{6}\) & \(2.37\times 10^{3}\) & \(1.70\times 10^{9}\) & \(1.15\times 10^{16}\) \\ \hline \multirow{4}{*}{\(6.0\times 10^{5}\)} & BEST & \(1.79\times 10^{3}\) & \(1.28\times 10^{3}\) & \(2.08\times 10^{1}\) & \(9.30\times 10^{9}\) & \(1.47\times 10^{6}\) & \(1.05\times 10^{6}\) & \(9.95\times 10^{6}\) & \(9.78\times 10^{3}\) \\  & MEADIAN & \(2.43\times 10^{5}\) & \(3.71\times 10^{3}\) & \(2.09\times 10^{1}\) & \(2.06\times 10^{10}\) & \(2.53\times 10^{6}\) & \(1.06\times 10^{6}\) & \(4.74\times 10^{7}\) & \(3.02\times 10^{14}\) \\  & WORST & \(1.28\times 10^{7}\) & \(5.97\times 10^{3}\) & \(2.11\times 10^{1}\) & \(4.91\times 10^{10}\) & \(4.35\times 10^{6}\) & \(1.06\times 10^{6}\) & \(1.49\times 10^{8}\) & \(9.79\times 10^{14}\) \\  & MEAN & \(1.80\times 10^{6}\) & \(3.64\times 10^{3}\) & \(2.09\times 10^{1}\) & \(2.25\times 10^{10}\) & \(2.72\times 10^{6}\) & \(1.06\times 10^{6}\) & \(5.91\times 10^{7}\) & \(4.13\times 10^{14}\) \\  & STD & \(3.64\times 10^{6}\) & \(1.45\times 10^{3}\) & \(9.31\times 10^{-2}\) & \(1.01\times 10^{10}\) & \(7.59\times 10^{5}\) & \(2.42\times 10^{3}\) & \(4.14\times 10^{7}\) & \(2.55\times 10^{14}\) \\ \hline \multirow{4}{*}{\(3.0\times 10^{6}\)} & BEST & \(2.32\times 10^{23}\) & \(8.16\times 10^{2}\) & \(2.07\times 10^{1}\) & \(1.06\times 10^{9}\) & \(1.47\times 10^{6}\) & \(1.05\times 10^{6}\) & \(7.09\times 10^{4}\) & \(4.10\times 10^{13}\) \\  & MEADIAN & \(5.00\times 10^{16}\) & \(1.18\times 10^{3}\) & \(2.08\times 10^{1}\) & \(5.63\times 10^{9}\) & \(2.53\times 10^{6}\) & \(1.05\times 10^{6}\) & \(6.29\times 10^{5}\) & \(1.11\times 10^{14}\) \\  & WORST & \(6.12\times 10^{4}\) & \(3.64\times 10^{3}\) & \(2.09\times 10^{1}\) & \(2.45\times 10^{4}\) & \(4.18\times 10^{6}\) & \(1.06\times 10^{6}\) & \(2.99\times 10^{6}\) & \(2.63\times 10^{14}\) \\  & MEAN & \(2.85\times 10^{5}\) & \(1.35\times 10^{3}\) & \(2.08\times 10^{1}\) & \(6.13\times 10^{9}\) & \(2.70\times 10^{6}\) & \(1.05\times 10^{6}\) & \(9.23\times 10^{5}\) & \(1.21\times 10^{14}\) \\  & STD & \(1.22\times 10^{4}\) & \(5.73\times 10^{2}\) & \(3.91\times 10^{2}\) & \(4.68\times 10^{7}\) & \(7.29\times 10^{5}\) & \(2.25\times 10^{3}\) & \(8.83\times 10^{5}\) & \(5.46\times 10^{13}\) \\ \hline \multirow{4}{*}{\(1.2\times 10^{5}\)} & BEST & \(1.57\times 10^{8}\) & \(9.32\times 10^{7}\) & \(1.00\times 10^{10}\) & \(1.96\times 10^{8}\) & \(1.04\times 10^{10}\) & \(8.40\times 10^{10}\) & \(1.46\times 10^{7}\) \\  & MEADIAN & \(4.11\times 10^{8}\) & \(9.42\times 10^{7}\) & \(1.05\times 10^{11}\) & \(3.48\times 10^{9}\) & \(2.96\times 10^{10}\) & \(5.19\times 10^{11}\) & \(4.39\times 10^{7}\) \\  & WORST & \(1.15\times 10^{9}\) & \(9.48\times 10^{7}\) & \(3.98\times 10^{11}\) & \(4.44\times 10^{10}\) & \(9.13\times 10^{10}\) & \(1.12\times 10^{12}\) & \(2.46\times 10^{8}\) \\  & MEAN & \(4.28\times 10^{8}\) & \(9.42\times 10^{7}\) & \(1.44\times 10^{11}\) & \(1.09\times 10^{10}\) & \(4.13\times 10^{10}\) & \(5.06\times 10^{11}\) & \(5.90\times 10^{7}\) \\  & STD & \(2.09\times 10^{8}\) & \(3.67\times 10^{5}\) & \(1.25\times 10^{11}\) & \(1.36\times 10^{10}\) & \(2.59\times 10^{10}\) & \(2.80\times 10^{11}\) & \(5.16\times 10^{7}\) \\ \hline \multirow{4}{*}{\(6.0\times 10^{5}\)} & BEST & \(9.45\times 10^{7}\) & \