Table 2 Optimization results of different algorithms.

From: Hybrid strategy enhanced crayfish optimization algorithm for breast cancer prediction

Function

Result

MSCOA

COA

DBO

SABO

GWO

WWPA

CDO

LPO

APO

F1

min

0

0

1.29E-106

6.66E-123

6.42E-37

1.26E-04

1.11E-103

3.58E+02

2.32E-15

std

0

0

6.97E-66

6.88E-116

9.43E-33

2.32E+00

5.83E-91

3.81E+02

2.09E-12

avg

0

0

1.38E-66

1.29E-116

3.20E-33

1.65E+00

1.64E-91

1.07E+03

8.94E-13

F2

min

0

0

7.96E-53

5.30E-67

4.02E-21

1.34E-02

6.35E-51

7.14E+00

1.66E-08

std

0

0

7.45E-28

7.82E-65

3.17E-19

6.25E+00

7.25E-47

3.31E+00

4.60E-08

avg

0

1.17E-267

1.36E-28

3.51E-65

1.43E-19

4.27E+00

2.84E-47

1.26E+01

6.80E-08

F3

min

0

0

5.94E-94

6.56E-68

1.32E-17

2.09E-01

1.53E-95

1.43E+03

1.31E-06

std

0

0

6.00E-51

5.33E-47

2.88E-13

1.08E+02

1.91E-82

1.33E+03

1.10E-04

avg

0

0

1.18E-51

9.73E-48

8.19E-14

6.49E+01

3.50E-83

3.45E+03

1.13E-04

F4

min

0

0

1.69E-53

1.34E-51

1.91E-12

5.10E-03

2.38E-47

1.81E+01

5.00E-05

std

0

0

1.53E-22

4.35E-50

1.25E-10

3.06E-01

9.27E-43

4.98E+00

1.59E-04

avg

0

1.36E-239

2.80E-23

3.14E-50

1.05E-10

3.80E-01

3.80E-43

2.53E+01

2.14E-04

F5

min

1

1

1

1

1

1.02E+00

1

2.84E+07

3.48E+02

std

0

0

1.28E+06

5.40E-03

1.32E+05

2.03E+02

0

5.88E+07

6.32E+04

avg

1

1

4.51E+05

1.00E+00

6.23E+04

7.89E+01

1

1.13E+08

5.82E+04

F6

min

4.24E+00

4.22E+00

4.27E+00

4.25E+00

3.47E+01

5.05E+00

5

6.35E+03

1.03E+02

std

0

1.85E-01

1.43E+03

1.12E+01

2.99E+02

3.31E+00

0

2.46E+03

1.51E+02

avg

4.98E+00

4.95E+00

1.01E+03

9.76E+00

4.83E+02

8.23E+00

5

1.05E+04

3.23E+02

F7

min

4.26E-07

6.86E-06

4.99E-05

2.45E-05

2.82E-04

3.40E-03

1.00E-05

1.04E-01

7.18E-04

std

7.98E-05

1.14E-04

0.0014

1.01E-04

7.01E-04

4.20E+00

1.72E-04

1.35E-01

1.01E-03

avg

1.01E-04

1.16E-04

1.60E-03

1.51E-04

1.30E-03

2.42E+00

2.28E-04

2.62E-01

2.29E-03

F8

min

0

0

0

0

0

4.10E-03

2.37E+01

3.10E+01

2.46E-01

std

0

0

5.05E+00

0

2.28E+00

2.76E+01

7.64E+00

1.11E+01

1.03E+00

avg

0

0

1.36E+00

0

1.62E+00

2.61E+01

4.30E+01

6.53E+01

2.32E+00

F9

min

4.44E-16

4.44E-16

4.44E-16

4.44E-16

1.82E-14

4.12E-02

4.00E-15

1.22E+01

2.56E-08

std

0

0

0

1.08E-15

5.65E-15

1.76E+00

0

1.83E+00

1.30E-07

avg

4.44E-16

4.44E-16

4.44E-16

3.64E-15

2.72E-14

2.69E+00

4.00E-15

1.55E+01

1.60E-07

F10

min

0

0

0

0

0

2.60E-03

0

3.25E+00

1.17E-09

std

0

0

1.94E-02

9.70E-02

3.48E-02

2.44E-01

2.46E-01

4.52E+00

7.31E-03

avg

0

0

6.90E-03

1.77E-02

3.44E-02

2.48E-01

1.31E-01

1.29E+01

7.31E-03

F11

min

6.45E+00

4.70E+00

1.41E+00

5.56E+00

1.00E+00

8.36E+00

4.42E+00

1.06E+01

1.92E+00

std

7.21E-01

1.75E+00

1.87E+00

6.70E-01

1.2581

8.34E-01

7.73E-01

7.89E-01

4.27E-01

avg

7.66E+00

7.74E+00

4.38E+00

7.49E+00

2.63E+00

1.01E+01

6.14E+00

1.16E+01

2.86E+00

F12

min

3.55E+01

1.19E+01

1.09E+01

3.58E+01

7.03E+00

1.26E+02

5.90E+01

5.31E+01

3.14E+00

std

7.95E+00

3.14E+01

1.49E+01

1.20E+01

1.02E+01

8.47E+00

6.33E+00

9.28E+00

1.58E+00

avg

6.86E+01

4.84E+01

3.54E+01

5.29E+01

2.06E+01

1.46E+02

7.54E+01

6.82E+01

5.79E+00

F13

min

−1.03E+00

−1.03E+00

−1.03E+00

−1.03E+00

−1.03E+00

−9.53E-01

−1.02E+00

−1.03E+00

−1.03E+00

std

2.90E-06

1.37E-13

5.83E-16

2.61E-02

7.50E-08

1.37E+00

5.60E-03

4.47E-03

4.42E-15

avg

−1.03E+00

−1.03E+00

−1.03E+00

−1.02E+00

−1.03E+00

1.90E-01

−1.00E+00

−1.03E+00

−1.03E+00

F14

min

3.00E+00

3.00E+00

3.00E+00

3.0039

3.00E+00

3.13E+00

3.00E+00

3.00E+00

3.00E+00

std

3.90E-03

4.55E-10

3.22E-15

3.27E+00

1.48E+01

9.07E+01

3.37E+01

6.21E-02

1.25E-15

avg

3.00E+00

3.00E+00

3.00E+00

4.42E+00

5.70E+00

6.09E+01

4.05E+01

3.05E+00

3.00E+00

F15

min

2.04E+01

2.10E+01

2.12E+01

2.10E+01

2.07E+01

2.14E+01

2.12E+01

2.15E+01

21.0122

std

7.41E-02

1.98E+00

1.77E-01

8.74E-02

3.21E+00

1.44E-01

1.00E-01

1.19E-01

3.54E+00

avg

2.15E+01

2.11E+01

2.14E+01

2.15E+01

2.10E+01

2.17E+01

2.15E+01

2.18E+01

1.99E+01

F16

min

−3.86E+00

−3.86E+00

−3.86E+00

−3.86E+00

−3.86E+00

−3.73E+00

−3.86E+00

−3.86E+00

−3.86E+00

std

1.40E-03

1.41E-01

3.00E-03

2.01E-01

2.40E-03

6.29E-01

4.20E-03

6.19E-04

2.71E-15

avg

−3.86E+00

−3.84E+00

−3.86E+00

−3.67E+00

−3.86E+00

−2.38E+00

−3.86E+00

−3.86E+00

−3.86E+00

F17

min

−4.8386

−1.05E+01

−1.05E+01

−9.3738

−1.05E+01

−1.05E+01

−9.10E+00

−8.35E+00

−1.05E+01

std

7.15E-01

3.08E+00

2.92E+00

1.26E+00

1.79E+00

2.04E+00

1.45E+00

1.69E+00

1.70E+00

avg

−3.46E+00

−6.79E+00

−8.71E+00

−4.90E+00

−9.95E+00

−5.23E+00

−5.73E+00

−3.90E+00

−1.01E+01