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|| <math>f(\pm 0.84852813,\mp 0.84852813) = -0.072</math>
|| <math>-1.25\le x,y \le 1.25</math>
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| Gomez and Levy function (modified)<ref>{{cite journal |last1=Simionescu |first1=P.A. |date=2020 |title=A collection of bivariate nonlinear optimisation test problems with graphical representations |url= |journal=International Journal of Mathematical Modelling and Numerical Optimisation |volume=10 |issue=4 |pages=365–398 |doi=10.1504/IJMMNO.2020.110704 |access-date=}}</ref>
|| [[File:Gomez-Levi contour.svg|200px|Gomez and Levy Function]]
|| <math>f(x,y) = 4 x^2 - 2.1 x^4 + \frac 1 3 x^6 + xy - 4y^2 +4 y^4 </math>,
subjected to:<math> -\sin(4 \pi x) + 2\sin^2(2 \pi y) \le 1.5 </math>
|| <math>f(0.08984201,-0.7126564) = -1.031628453</math>
|| <math>-1\le x \le 0.75</math>, <math>-1\le y \le 1</math>
|-
| Keane's bump function<ref>{{cite journal |last1=Mishra |first1=Sudhanshu |title=Minimization of Keane’s Bump Function by the Repulsive Particle Swarm and the Differential Evolution Methods |date=5 May 2007 |url=https://econpapers.repec.org/paper/pramprapa/3098.htm |journal=MPRA Paper|publisher=University Library of Munich, Germany}}</ref>
||
|| <math>f(x,y) = -\left| \frac{\left( \sum_{i=1}^m cos^4 (x_i) - 2 \prod_{i=1}^m cos^2 (x_i) \right]}{{\left( \sum_{i=1}^m ix^2_i \right)}^{0.5}} \right| </math>,
subjected to: <math> 0.75 - \prod_{i=1}^m x_i \le 0 </math>
<math> \sum_{i=1}^m x_i - 7.5m \le 0 </math>
||
|| <math>0\le x_i \le 10</math>
|}
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