| | Example | Refs. | () | Optimal solution | Optimal value | Iter | Time (s) |
| | 4 | our1 | (0, 0, 0) | (2.0, 1.0) | −1.000000 | 0 | 0.00071504 | | our2 | (0, 0, 1) | (2.0, 1.0) | −1.000000000 | 1 | 0.00165866 | | our3 | (0, 1, 1) | (2.0, 1.0) | −1.000000000 | 2 | 0.00169589 | | our4 | (1, 1, 1) | (2.0, 1.0) | −1.000000000 | 2 | 0.00156529 | | our5 | (1, 0, 0) | (2.0, 1.0) | −1.000000000 | 2 | 0.00153087 | | our6 | (1, 0, 1) | (2.0, 1.0) | −1.000000000 | 2 | 0.00159881 | | our7 | (1, 1, 0) | (2.0, 1.0) | −1.000000000 | 2 | 0.00158519 | | our8 | (0, 1, 0) | (2.0, 1.0) | −1.000000 | 0 | 0.00066607 | | [21] | | (2.0, 1.0) | −0.999999410 | 21 | 0.00849446 | | [23] | | (2.0, 1.0) | −1.0 | 24 | 0.0116923 |
| | 5 | our1 | (0, 0) | (2.555409888, 3.130613160) | 118.383672050 | 49 | 0.0271463 | | our2 | (0, 1) | (2.555676683, 3.130286407) | 118.383672115 | 51 | 0.0287108 | | our3 | (1, 1) | (2.555800904, 3.130134268) | 118.383672231 | 61 | 0.0350215 | | our4 | (1, 0) | (2.555775920, 3.130164866) | 118.383671937 | 55 | 0.030462 | | [17] | | (2.555779370, 3.130164640) | 118.383756475 | 210 | 0.78 | | [21] | | (2.555745855, 3.130201688) | 118.383671904 | 59 | 0.0385038 |
| | 6 | our1 | (0, 0, 0) | (1.0, 0.181818247, 0.983332154) | −11.363635387 | 141 | 0.110562 | | our2 | (0, 0, 1) | (1.0, 0.181818217, 0.983332160) | −11.363636364 | 240 | 0.198587 | | our3 | (0, 1, 1) | (1.0, 0.181818196, 0.983332163) | −11.363635785 | 260 | 0.213692 | | our4 | (1, 1, 1) | (1.0, 0.181818133, 0.983332175) | −11.363635682 | 229 | 0.18844 | | our5 | (1, 0, 0) | (1.0, 0.181783067, 0.983338664) | −11.363635889 | 80 | 0.0669022 | | our6 | (1, 0, 1) | (1.0, 0.181818133, 0.983332175) | −11.363635715 | 213 | 0.176459 | | our7 | (1, 1, 0) | (1.0, 0.181818301, 0.983332144) | −11.363635516 | 149 | 0.131391 | | our8 | (0, 1, 0) | (1.0, 0.181818133, 0.983332175) | −11.363636364 | 133 | 0.105004 | | [21] | | (1.0, 0.181818470, 0.983332113) | −11.363636364 | 420 | 0.284541 | | [25] | | (0.998712, 0.196213, 0.979216) | −10.35 | 1648 | 0.3438 |
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