| Number | Description and expression | Search space | | |
| Group 1: conventional problems | | Sphere | [−100, 100 | 10−6 | 0 | | Schwefel’s function 1.2 | [−100, 100 | 10−6 | 0 | | Noise quadric | [−1.28, 1.28 | 10−2 | 0 | | Rosenbrock | [−10, 10 | 10−2 | 0 | | Ackley | [−32.768, 32.768 | 10−6 | 0 | | Griewank | [−600, 600 | 10−6 | 0 | | Rastrigin | [−5.12, 5.12 | 10−6 | 0 | | Noncontinuous Rastrigin | [−5.12, 5.12 | 10−6 | 0 | | Expanded Schaffer
| [−100, 100 | 10−6 | 0 |
| Group 2: rotated problems | | Rotated Rosenbrock , , is an orthogonal matrix | [−10, 10 | 10 | 0 | | Rotated Ackley , | [−32.768, 32.768 | 10 | 0 | | Rotated Griewank , | [−600, 600 | 10 | 0 | | Rotated Rastrigin , | [−5.12, 5.12 | 10 | 0 | | Rotated noncontinuous Rastrigin , | [−5.12, 5.12 | 10 | 0 |
| Group 3: shifted problems | | Shifted Sphere , , | [−100, 100 | 10−6 | −450 | | Shifted Rosenbrock , , | [−10, 10 | 10−6 | 390 | | Shifted Rastrigin , , | [−5.12, 5.12 | 10−6 | −330 | | Shifted non-Rastrigin , , | [−5.12, 5.12 | 10−6 | −330 | | Shifted rotated Ackley’s function with global optimum on bounds | [−32.76, 32.76 | 10−6 | −140 | | Shifted rotated Rastrigin’s function | [−5.12, 5.12 | 10−6 | −330 |
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