## 4 Test Experiments and Discussion of DMMAEO
### Impacts of Enhancement Mechanisms on EO
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multicolumn{2}{c}{**Function**} & \multicolumn{1}{c}{**EO**} & **DMEO** & **GMEO** & **CMEO** & **DMMAEO** \\ \hline \multirow{10}{*}{Composition} & TF24 & Ave. & \(6.333\times 10^{1}\) & \(1.000\times 10^{1}\) & \(7.667\times 10^{1}\) & \(4.667\times 10^{1}\) & \(\mathbf{3.333\times 10^{0}}\) \\  & Std. & \(4.901\times 10^{1}\) & \(3.051\times 10^{1}\) & \(5.040\times 10^{1}\) & \(5.074\times 10^{1}\) & \(1.826\times 10^{1}\) \\  & TF25 & Ave. & \(1.323\times 10^{2}\) & \(8.588\times 10^{1}\) & \(1.030\times 10^{2}\) & \(4.384\times 10^{1}\) & \(\mathbf{3.178\times 10^{1}}\) \\  & Std. & \(5.273\times 10^{1}\) & \(6.363\times 10^{1}\) & \(7.200\times 10^{1}\) & \(4.793\times 10^{1}\) & \(4.033\times 10^{1}\) \\  & TF26 & Ave. & \(1.709\times 10^{2}\) & \(2.564\times 10^{2}\) & \(\mathbf{1.634\times 10^{2}}\) & \(1.933\times 10^{2}\) & \(1.825\times 10^{2}\) \\  & Std. & \(2.317\times 10^{1}\) & \(3.089\times 10^{1}\) & \(3.501\times 10^{1}\) & \(5.405\times 10^{1}\) & \(4.571\times 10^{1}\) \\  & TF27 & Ave. & \(4.136\times 10^{2}\) & \(3.679\times 10^{2}\) & \(5.820\times 10^{2}\) & \(3.876\times 10^{2}\) & \(\mathbf{3.649\times 10^{2}}\) \\  & Std. & \(1.294\times 10^{2}\) & \(5.992\times 10^{1}\) & \(2.606\times 10^{2}\) & \(1.076\times 10^{2}\) & \(1.072\times 10^{2}\) \\  & TF28 & Ave. & \(6.224\times 10^{1}\) & \(2.009\times 10^{1}\) & \(4.249\times 10^{1}\) & \(7.580\times 10^{1}\) & \(\mathbf{9.407\times 10^{0}}\) \\  & Std. & \(4.801\times 10^{1}\) & \(3.196\times 10^{1}\) & \(4.790\times 10^{1}\) & \(4.330\times 10^{1}\) & \(1.800\times 10^{1}\) \\  & TF29 & Ave. & \(8.658\times 10^{2}\) & \(8.523\times 10^{2}\) & \(8.968\times 10^{2}\) & \(8.303\times 10^{2}\) & \(\mathbf{8.036\times 10^{2}}\) \\  & Std. & \(1.036\times 10^{2}\) & \(1.228\times 10^{2}\) & \(1.778\times 10^{1}\) & \(1.508\times 10^{2}\) & \(1.709\times 10^{2}\) \\ \hline \hline \end{tabular} The best comparative results are presented in bold.  
\end{table} 
Table 4: Results for canonical EO and four EO variants across composition test functions. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multicolumn{2}{c}{**Function**} & \multicolumn{1}{c}{**EO**} & **DMEO** & **GMEO** & **CMEO** & **DMMAEO** \\ \hline \multirow{10}{*}{Composition} & TF14 & Ave. & \(9.980\times 10^{-1}\) & \(9.980\times 10^{-1}\) & \(4.388\times 10^{0}\) & \(9.980\times 10^{-1}\) & \(\mathbf{9.980\times 10^{-1}}\) \\  & Std. & \(1.934\times 10^{-16}\) & \(0.000\times 10^{0}\) & \(4.457\times 10^{0}\) & \(1.797\times 10^{-16}\) & \(0.000\times 10^{0}\) \\  & TF15 & Ave. & \(5.916\times 10^{-3}\) & \(3.077\times 10^{-4}\) & \(2.417\times 10^{-3}\) & \(5.122\times 10^{-3}\) & \(\mathbf{3.075\times 10^{-4}}\) \\  & Std. & \(8.869\times 10^{-3}\) & \(3.206\times 10^{-7}\) & \(6.091\times 10^{-3}\) & \(8.557\times 10^{-3}\) & \(7.765\times 10^{-9}\) \\  & TF16 & Ave. & \(-1.032\times 10^{0}\) & \(-1.032\times 10^{0}\) & \(-1.032\times 10^{0}\) & \(-1.032\times 10^{0}\) & \(-\mathbf{1.032\times 10^{0}}\) \\  & Std. & \(5.904\times 10^{-16}\) & \(6.775\times 10^{-16}\) & \(5.904\times 10^{-16}\) & \(5.831\times 10^{-16}\) & \(6.775\times 10^{-16}\) \\  & TF17 & Ave. & \(3.979\times 10^{-1}\) & \(3.979\times 10^{-1}\) & \(3.979\times 10^{-1}\) & \(3.979\times 10^{-1}\) & \(3.979\times 10^{-1}\) \\  & Std. & \(0.000\times 10^{0}\) & \(0.000\times 10^{0}\) & \(0.000\times 10^{0}\) & \(0.000\times 10^{0}\) & \(0.000\times 10^{0}\) \\  & TF18 & Ave. & \(3.000\times 10^{0}\) & \(3.000\times 10^{0}\) & \(3.000\times 10^{0}\) & \(3.000\times 10^{0}\) & \(\mathbf{3.000\times 10^{0}}\) \\ (Fixed-Multimodal dimension) & Std. & \(1.195\times 10^{-15}\) & \(1.641\times 10^{-15}\) & \(1.215\times 10^{-15}\) & \(1.189\times 10^{-15}\) & \(1.698\times 10^{-15}\) \\  & TF19 & Ave. & \(-3.863\times 10^{0}\) & \(-3.863\times 10^{0}\) & \(-3.863\times 10^{0}\) & \(-3.863\times 10^{0}\) & \(-\mathbf{3.863\times 10^{0}}\) \\  & Std.