## 3 Results and Discussion
### Delay
#### 3.2.2 Computational Time
\begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Parameter**} & \multirow{2}{*}{**Transient**} & \multirow{2}{*}{**Delay**} & \multicolumn{6}{c}{**Prediction with**} & \multicolumn{6}{c}{**Prediction with**} \\  & & & \multicolumn{3}{c}{**One Point DC Simulation**} & \multicolumn{3}{c}{**One Point Transient Simulation**} \\ \cline{3-11}  & & **MC** & **Model** & **n = 1** & **n = 2** & **n = 3** & **n = 4** & **n = 1** & **n = 2** & **n = 3** & **n = 4** \\ \hline \multirow{4}{*}{L} & \(\mu\) (ns) & 0.796 & 0.788 & 0.819 & 0.795 & 0.797 & 0.797 & 0.79 & 0.8 & 0.8 & 0.8 \\  & \(\sigma\) (ns) & 0.151 & 0.151 & 0.181 & 0.149 & 0.155 & 0.155 & 0.151 & 0.151 & 0.151 \\  & \(\sigma\)/ \(\mu\) (\%) & 19 & 19.2 & 22.1 & 18.7 & 19.4 & 19.4 & 19.2 & 18.9 & 18.9 \\ \cline{2-11}  & MAPE (\%) & - & 1.11 & 2.68 & 0.387 & 0.462 & 0.457 & 1.28 & 0.458 & 0.469 & 0.466 \\  & Runtime & 12.78 & 0.864 & 0.19 & 0.251 & 0.319 & 0.384 & 0.203 & 0.328 & 0.469 & 0.604 \\ \hline \multirow{4}{*}{W} & \(\mu\) (ns) & 0.794 & 0.786 & 0.794 & 0.794 & 0.794 & 0.794 & 0.792 & 0.794 & 0.794 & 0.794 \\  & \(\sigma\) (ns) & 0.0468 & 0.0466 & 0.0477 & 0.0476 & 0.0476 & 0.0476 & 0.0462 & 0.0462 & 0.0466 & 0.0466 \\  & \(\sigma\)/ \(\mu\) (\%) & 5.9 & 5.92 & 6 & 5.99 & 5.99 & 5.89 & 5.83 & 5.81 & 5.86 & 5.86 \\ \cline{2-11}  & MAPE (\%) & - & 1.02 & 0.0771 & 0.0739 & 0.0725 & 0.0725 & 0.312 & 0.0543 & 0.0276 & 0.0282 \\  & Runtime & (s) & 13.14 & 0.866 & 0.185 & 0.252 & 0.33 & 0.38 & 0.215 & 0.337 & 0.471 & 0.607 \\ \hline \multirow{4}{*}{PHIG1} & \(\mu\) (ns) & 0.993 & 0.985 & 0.00816 & 0.887 & 1.1 & 0.981 & 0.788 & 0.969 & 0.969 & 0.994 \\  & \(\sigma\) (ns) & 0.744 & 0.743 & 14.3 & 0.451 & 3.09 & 1.53 & 0.5 & 0.559 & 0.687 & 0.716 \\  & \(\sigma\)/ \(\mu\) (\%) & 74.9 & 75.5 & 175000 & 50.9 & 280 & 156 & 63.5 & 57.6 & 70.9 & 72 \\ \cline{2-11}  & MAPE (\%) & - & 1.11 & 98.2 & 4.33 & 4.14 & 1.72 & 26.2 & 12.1 & 4.07 & 2.01 \\  & Runtime & (s) & 13.02 & 0.868 & 0.187 & 0.252 & 0.331 & 0.391 & 0.207 & 0.327 & 0.468 & 0.605 \\ \hline \multirow{4}{*}{TSI} & \(\mu\) (ns) & 0.797 & 0.788 & 0.8 & 0.797 & 0.797 & 0.797 & 0.792 & 0.798 & 0.798 & 0.798 \\  & \(\sigma\) (ns) & 0.0828 & 0.0826 & 0.0862 & 0.0841 & 0.0844 & 0.0844 & 0.0814 & 0.0814 & 0.0825 & 0.0825 \\  & \(\sigma\)/ \(\mu\) (\%) & 10.4 & 10.5 & 10.8 & 10.6 & 10.6 & 10.6 & 10.3 & 10.2 & 10.3 & 10.3 \\ \cline{2-11}  & MAPE (\%) & - & 1.08 & 0.468 & 0.211 & 0.217 & 0.217 & 0.561 & 0.175 & 0.149 & 0.157 \\  & Runtime & (s) & 12.97 & 0.878 & 0.189 & 0.255 & 0.327 & 0.381 & 0.195 & 0.342 & 0.466 & 0.611 \\  & & \(\mu\) (ns) & 0.791 & 0.782 & 0.792 & 0.791 & 0.791 & 0.791 & 0.792 & 0.791 & 0.791 & 0.791 \\  & \(\sigma\) (ns) & 0.00758 & 0.00742 & 0.00741 & 0.00761 & 0.00757 & 0.00757 & 0.00726 & 0.0075 & 0.00742 & 0.00742 \\  & \(\sigma\)/ \(\mu\) (\%) & 0.958 & 0.948 & 0.935 & 0.961 & 0.957 & 0.957 & 0.917 & 0.948 & 0.937 & 0.937 \\ \cline{2-11}  & MAPE (\%) & - & 1.12 & 0.136 & 0.016 & 0.0157 & 0.0158 & 0.122 & 0.024 & 0.0254 & 0.0254 \\  & Runtime & (s) & 13.15 & 0.865 & 0.186 & 0.256 & 0.325 & 0.383 & 0.192 & 0.332 & 0.492 & 0.607 \\  & (s) & 0.795 & 0.787 & 0.795 & 0.795 & 0.795 & 0.795 & 0.791 & 0.796 & 0.796 & 0.796 \\ \cline{2-11}  & \(\sigma\) (ns) & 0.0611 & 0.061 & 0.0623 & 0.0625 & 0.0623 & 0.0623 & 0.06 & 0.06 & 0.061 & 0.061 \\ \cline{2-11}  & \(\sigma\)/ \(\mu\) (\%) & 7.68 & 7.75 & 7.84 & 7.86 & 7.83 & 7.83 & 7.58 & 7.53 & 7.66 & 7.66 \\ \cline{2-11}  & MAPE (\%) & - & 1.02 & 0.14 & 0.15 & 0.144 & 0.138 & 0.529 & 0.115 & 0.095 & 0.093 \\ \cline{2-11}  & Runtime & 13.11 & 0.866 & 0.188 & 0.254 & 0.324 & 0.383 & 0.193 & 0.34 & 0.481 & 0.601 \\ \cline{2-11}  & (s) & & & & & & & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Summary of statistical results of Delay H-L. Taking INV_X3M as an example, when the supply voltage is 0.25 V, the coefficient of variation in the delay is 74.9%, and the errors of the first-order and second-order predictions are 31.7% and 12.4%.