Function

Dim

Range

F_min

$F_1\left(x\right)={\displaystyle {\sum }_{i=1}^n{x}_i^2}$

30

[−100, 100]

0

$F_2\left(x\right)={\displaystyle {\sum }_{i=1}^n{\left({\displaystyle {\sum }_{j-1}^n{x}_i}\right)}^2}$

30

[−100, 100]

0

$F_3\left(x\right)={\displaystyle {\sum }_{i=1}^{n}i{x}_i^4}+\text{random}\left[0,1\right)$

30

[−1.28, 1.28]

0

$F_4\left(x\right)={\displaystyle {\sum }_{i=1}^n\left[x_i^2-10\cos \left(2\pi x_i\right)+10\right]}$

30

[−5.12, 5.12]

0

$F_5\left(x\right)={\displaystyle {\sum }_{i=1}^n{x}_i^2}-{\displaystyle {\prod }_{i=1}^n\cos \left(\frac{x_i}{\sqrt{i}}\right)}+1$

30

[−600, 600]

0

$F_6\left(x\right)={\displaystyle {\sum }_{i=1}^n\left|x_i\right|}+{\displaystyle {\prod }_{i=1}^n\left|x_i\right|}$

30

[−10, 10]

0

$F_7\left(x\right)={\max }_i\left\{\left|x_i\right|,1\le i\le n\right\}$

30

[−100, 100]

0

$F_8=4x_1^2-2.1x_1^4+\frac{1}{3}{x}_1^6+x_1{x}_2-4x_2^2+4x_2^4$

2

[−5, 5]

−1.031

$F_9\left(x\right)=-20\exp \left(-0.2\sqrt{\frac{1}{n}{\displaystyle {\sum }_{i=1}^n{x}_i^2}}\right)-\exp \left(\frac{1}{n}{\displaystyle {\sum }_{i=1}^n\cos \left(2\pi x_i\right)}\right)+20+e$

30

[−32, 32]

0