# An Advanced Crow Search Algorithm for Solving Global Optimization Problem
## 4 Numerical Examples
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{2}{*}{**Fun**} & \multirow{2}{*}{**Index**} & \multicolumn{4}{c}{_FAR_} \\ \cline{3-8}  & & **0.0** & **0.2** & **0.4** & **0.6** & **0.8** & **1.0** \\ \hline \multirow{4}{*}{\(f1\)} & BF & \(1.787\times 10^{-20}\) & \(1.754\times 10^{-20}\) & \(3.271\times 10^{-19}\) & \(1.532\times 10^{-17}\) & \(6.406\times 10^{-16}\) & \(1.360\times 10^{-12}\) \\  & MF & \(3.076\times 10^{-18}\) & \(2.509\times 10^{-18}\) & \(3.189\times 10^{-17}\) & \(1.136\times 10^{-15}\) & \(4.515\times 10^{-14}\) & \(2.813\times 10^{-11}\) \\  & Std & \(5.849\times 10^{-18}\) & \(3.748\times 10^{-18}\) & \(6.464\times 10^{-17}\) & \(2.002\times 10^{-15}\) & \(6.196\times 10^{-14}\) & \(4.601\times 10^{-11}\) \\  & BF & \(7.143\times 10^{-4}\) & \(6.113\times 10^{-8}\) & \(5.538\times 10^{-8}\) & \(8.745\times 10^{-8}\) & \(1.645\times 10^{-7}\) & \(2.121\times 10^{-6}\) \\ \multirow{4}{*}{\(f2\)} & MF & \(7.625\times 10^{-1}\) & \(4.168\times 10^{-2}\) & \(2.789\times 10^{-3}\) & \(1.890\times 10^{-2}\) & \(3.333\times 10^{-3}\) & \(2.349\times 10^{-2}\) \\  & Std & \(9.166\times 10^{-1}\) & \(2.084\times 10^{-1}\) & \(1.214\times 10^{-2}\) & \(1.300\times 10^{-1}\) & \(1.657\times 10^{-2}\) & \(8.600\times 10^{-2}\) \\  & BF & \(1.318\times 10^{-10}\) & \(1.385\times 10^{-13}\) & \(1.723\times 10^{-13}\) & \(2.560\times 10^{-12}\) & \(2.984\times 10^{-11}\) & \(1.954\times 10^{-8}\) \\ \multirow{4}{*}{\(f3\)} & MF & \(9.056\times 10^{-9}\) & \(2.084\times 10^{-11}\) & \(8.017\times 10^{-11}\) & \(9.212\times 10^{-10}\) & \(1.486\times 10^{-8}\) & \(5.695\times 10^{-6}\) \\  & Std & \(1.382\times 10^{-8}\) & \(2.847\times 10^{-11}\) & \(1.780\times 10^{-10}\) & \(1.767\times 10^{-9}\) & \(2.950\times 10^{-8}\) & \(9.067\times 10^{-6}\) \\  & BF & \(1.954\times 10^{-8}\) & \(6.332\times 10^{-8}\) & \(1.195\times 10^{-7}\) & \(2.276\times 10^{-7}\) & \(1.533\times 10^{-6}\) & \(8.818\times 10^{-6}\) \\ \multirow{4}{*}{\(f4\)} & MF & \(5.695\times 10^{-6}\) & \(8.908\times 10^{-6}\) & \(8.421\times 10^{-6}\) & \(1.605\times 10^{-5}\) & \(2.570\times 10^{-5}\) & \(1.203\times 10^{-4}\) \\  & Std & \(9.067\times 10^{-6}\) & \(1.448\times 10^{-5}\) & \(1.102\times 10^{-5}\) & \(2.305\times 10^{-5}\) & \(3.901\times 10^{-5}\) & \(1.628\times 10^{-4}\) \\  & BF & \(6.351\times 10^{-1}\) & \(2.218\times 10^{-1}\) & \(1.365\times 10^{-1}\) & \(1.857\times 10^{-1}\) & \(5.801\times 10^{-1}\) & \(4.578\times 10^{-1}\) \\ \multirow{4}{*}{\(f5\)} & MF & \(3.904\times 10^{1}\) & \(1.206\times 10^{1}\) & \(5.356\times 10^{0}\) & \(8.779\times 10^{0}\) & \(1.262\times 10^{1}\) & \(1.656\times 10^{1}\) \\  & Std & \(9.006\times 10^{1}\) & \(3.350\times 10^{1}\) & \(5.356\times 10^{0}\) & \(2.897\times 10^{1}\) & \(3.539\times 10^{1}\) & \(4.085\times 10^{1}\) \\  & BF & \(2.275\times 10^{-20}\) & \(1.137\times 10^{-20}\) & \(9.394\times 10^{-20}\) & \(9.199\times 10^{-19}\) & \(2.792\times 10^{-16}\) & \(1.856\times 10^{-12}\) \\ \multirow{4}{*}{\(f6\)} & MF & \(2.655\times 10^{-18}\) & \(4.421\times 10^{-18}\) & \(3.363\times 10^{-17}\) & \(7.367\times 10^{-16}\) & \(4.578\times 10^{-14}\) & \(2.756\times 10^{-11}\) \\  & Std & \(4.478\times 10^{-18}\) & \(7.407\times 10^{-18}\) & \(7.556\times 10^{-17}\) & \(1.182\times 10^{-15}\) & \(8.264\times 10^{-14}\) & \(3.879\times 10^{-11}\) \\  & BF & \(6.747\times 10^{-4}\) & \(2.623\times 10^{-4}\) & \(3.859\times 10^{-4}\) & \(4.041\times 10^{-4}\) & \(3.774\times 10^{-4}\) & \(6.165\times 10^{-4}\) \\ \multirow{4}{*}{\(f7\)} & MF & \(4.244\times 10^{-3}\) & \(3.991\times 10^{-3}\) & \(4.146\times 10^{-3}\) & \(3.227\times 10^{-3}\) & \(3.619\times 10^{-3}\) & \(4.088\times 10^{-3}\) \\  & Std & \(2.879\times 10^{-3}\) & \(2.630\times 10^{-3}\) & \(2.624\times 10^{-3}\) & \(2.069\times 10^{-3}\) & \(2.272\times 10^{-3}\) & \(2.241\times 10^{-3}\) \\  & BF & \(-3.953\times 10^{3}\) & \(-3.595\times 10^{3}\) & \(-3.953\times 10^{3}\) & \(-3.716\times 10^{-3}\) & \(-3.953\times 10^{-3}\) & \(-4.071\times 10^{-3}\) \\  & MF & \(-2.808\times 10^{3}\) & \(-2.792\times 10^{3}\) & \(-2.804\times 10^{3}\) & \(-2.830\times 10^{3}\) & \(-2.887\times 10^{3}\) & \(-2.923\times 10^{3}\) \\  & Std & \(4.