Table 1 Fitness functions for measuring simulation error

DAE1

$D{J}_1^A$

Eq. (2)

Discrete absolute error of function values

DAE2

$D{J}_1^A+D{J}_2^A$

(2, 4)

Discrete absolute error of function and derivative values

DAE3

$D{J}_1^A+D{J}_2^A+D{J}_3^A$

(2, 4, 6)

Discrete absolute error of function, derivative, second derivative values

DAE4

$D{J}_1^A+D{J}_2^A+D{J}_4^A$

(2, 4, 8)

Discrete absolute error of function, derivative values as well as values of second derivative.

DRE1

$D{J}_1^R$

(3)

Discrete relative error of function values

DRE2

$D{J}_1^R+D{J}_2^R$

(3, 5)

Discrete relative error of function and derivative values

DRE3

$D{J}_1^R+D{J}_2^R+D{J}_3^R$

(3, 5, 7)

Discrete relative error of function, derivative, second derivative values

DRE4

$D{J}_1^R+D{J}_2^R+D{J}_4^R$

(3, 5, 9)

Discrete relative error of function, derivative values as well as values of second derivative.

CAE1

$C{J}_1^A$

(10)

Continuous absolute error of function values

CAE2

$C{J}_1^A+C{J}_2^A$

(10, 12)

Continuous absolute error of function and derivative values

CAE3

$C{J}_1^A+C{J}_2^A+C{J}_3^A$

(10, 12, 14)

Continuous absolute error of function, derivative, second derivative values

CAE4

$D{J}_1^R+D{J}_2^R+D{J}_4^R$

(10, 12, 16)

Continuous absolute error of function, derivative values as well as values of second derivative.

CRE1

$C{J}_1^R$

(11)

Continuous relative error of function values

CRE2

$C{J}_1^R+C{J}_2^R$

(11, 13)

Continuous relative error of function and derivative values

CRE3

$C{J}_1^R+C{J}_2^R+C{J}_3^R$

(11, 13, 15)

Continuous relative error of function, derivative, second derivative values

CRE4

$C{J}_1^R+C{J}_2^R+C{J}_4^R$

(11, 13, 17)

Continuous relative error of function, derivative values as well as values of second derivative.