# Enhancing Backtracking Search Algorithm using Reflection Mutation Strategy Based on Sine Cosine
## 5 Experimental Results
### Compared with State-of-the-Art Algorithms
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Benchmark**} & \multicolumn{3}{c}{**RSCBSA vs. BSA**} & \multicolumn{3}{c}{**RSCBSA vs. PSO**} & \multicolumn{3}{c}{**RSCBSA vs. ABC**} & \multicolumn{3}{c}{**RSCBSA vs. DE**} & \multicolumn{3}{c}{**RSCBSA vs. CA**} \\ \cline{2-13}  & **H** & \(\mathbf{p}\)**-Value** & **Winner** & **H** & \(\mathbf{p}\)**-Value** & **Winner** & **H** & \(\mathbf{p}\)**-Value** & **Winner** & **H** & \(\mathbf{p}\)**-Value** & **Winner** & **H** & \(\mathbf{p}\)**-Value** & **Winner** \\ \hline F1 & 1 & \(1.2118\times 10^{-12}\) & + & 1 & \(1.2118\times 10^{-12}\) & + & 1 & \(1.2118\times 10^{-12}\) & + & 1 & \(1.2118\times 10^{-12}\) & + & 1 & \(1.2118\times 10^{-12}\) & + & 1 & \(1.2118\times 10^{-12}\) & + \\ F2 & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + \\ F3 & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + \\ F4 & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + \\ F5 & 1 & \(1.0763\times 10^{-2}\) & + & 1 & \(3.0199\times 10^{-11}\) & \(-\) & 1 & \(3.0199\times 10^{-11}\) & - & 1 & \(1.2493\times 10^{-12}\) & + & 1 & \(3.0199\times 10^{-11}\) & + \\ F6 & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(2.0269\times 10^{-11}\) & \(-\) & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(1.2118\times 10^{-12}\) & - & 1 & \(3.0199\times 10^{-11}\) & + \\ F7 & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(2.0238\times 10^{-7}\) & + & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + & 1 & \(3.0199\times 10^{-11}\) & + \\ F8 & 1 & \(2.2076\times 10^{-11}\) & - & 1 & \(3.0104\times 10^{-11}\) & + & 1 & \(1.4248\times 10^{-11}\) & - & 1 & \(2.5416\times 10^{-11}\) & - & 1 & \(3.8481\times 10^{-3}\) & - \\ F9 & 1 & \(1.2118\times 10^{-12}\) & + & 1 & \(1.1661\times 10^{-12}\) & + & 1 & \(1.1656\times 10^{-12}\) & + & 1 & \(1.2118\times 10^{-12}\) & + & 1 & \(1.2118\times 10^{-12}\) & + \\ F10 & 1 & \(1.2118\times 10^{-12}\) & + & 1 & \(1.1570\times 10^{-13}\) & + & 1 & \(9.7992\times 10^{-13}\) & + & 1 & \(1.6853\times 10^{-14}\) & + & 1 & \(1.2118\times 10^{-12}\) & + \\ F11 & 1 & \(4.5700\times 10^{-12}\) & + & 1 & \(1.2118\times 10^{-12}\) & + & 1 & \(1.2178\times 10^{-12}\) & + & 0 & NaN & = & \(1\) & \(1.2118\times 10^{-12}\) & + \\ F12 & 1 & \(3.0199\times 10^{-11}\) & - & 1 & \(2.4297\times 10^{-11}\) & - & 1 & \(3.0199\times 10^{-11}\) & - & 1 & \(1.2118\times 10^{-12}\) & - & 1 & \(3.0199\times 10^{-11}\) & + \\ F13 & 1 & \(3.0199\times 10^{-11}\) & - & 1 & \(2.6537\times 10^{-11}\) & - & 1 & \(3.0199\times 10^{-11}\) & - & 1 & \(1.2118\times 10^{-12}\) & - & 1 & \(3.0199\times 10^{-11}\) & + \\ F4 & 0 & NaN & = & 1 & \(9.7829\times 10^{-13}\) & + & 1 & \(1.6853\times 10^{-14}\) & + & 1 & \(2.7085\times 10^{-14}\) & + & 1 & \(1.1642\times 10^{-12}\) & + \\ F15 & 1 & \(2.1633\times 10^{-11}\) & - & 0 & \(9.7208\times 10^{-11}\) & = & 1 & \(4.4804\times 10^{-9}\) & + & 1 & \(8.8803\times 10^{-6}\) & + & 1 & \(1.2050\times 10^{-10}\) & + \\ F16 & 0 & NaN & = & 1 & \(1.6835\times 10^{-14}\) & = & 1 & \(1.6853\times 10^{-14}\) & = & 1 & \(1.6853\times 10^{-14}\) & = & 1 & \(1.6853\times 10^{-14}\) & = \\ F17 & 1 & \(6.1613\times 10^{-14}\) & + & 1 & \(3.8943\times 10^{-13}\) & = & 1 & \(3.8943\times 10^{-13}\) & = & 1 & \(3.8943\times 10^{-3}\) & = & 1 & \(3.8943\times 10^{-3}\) & = \\ F18 & 1 & \(4.1865\times 10^{-2}\) & = & 1 & \(4.1865\times 10^{-2}\) & = & 0 & \(4.6898\times 10^{-11}\) & = & 1 & \(4.1865\times 10^{-2}\) & = & 1 & \(4.1865\times 10^{-12}\) & = \\ F19 & 0 & NaN & = & 1 & \(2.7088\times 10^{-14}\) & + & 1 & \(1.6853\times 10^{-14}\) & = & 1 & \(1.6853\times 10^{-14}\) & = & 1 & \(1.6853\times 10^{-14}\) & = \\ F20 & 1 & \(6.2985\times 10^{-4}\) & - & 1 & \(5.4952\times 10^{-3}\) & = & 1 & \(3.5090\times 10^{-10}\) & - & 1 &In summary, the proposed RSCBSA can exhibit very competitive performance than those of the other well-known algorithms, which is able to generate the high-quality solutions and accelerate the convergence speed.