Average Error: 2.7 → 2.7
Time: 1.1s
Precision: binary64
\[{\left(\left(1 - \alpha\right) \cdot \mathsf{max}\left(0.0, utility\right)\right)}^{\left(\frac{1}{1 - \alpha}\right)}\]
↓
\[{\left(\left(1 - \alpha\right) \cdot \mathsf{max}\left(0.0, utility\right)\right)}^{\left(\frac{1}{1 - \alpha}\right)}\]
{\left(\left(1 - \alpha\right) \cdot \mathsf{max}\left(0.0, utility\right)\right)}^{\left(\frac{1}{1 - \alpha}\right)}
↓
{\left(\left(1 - \alpha\right) \cdot \mathsf{max}\left(0.0, utility\right)\right)}^{\left(\frac{1}{1 - \alpha}\right)}
double code(double alpha, double utility) {
	return ((double) pow(((double) (((double) (1.0 - alpha)) * ((double) fmax(0.0, utility)))), ((double) (1.0 / ((double) (1.0 - alpha))))));
}
↓
double code(double alpha, double utility) {
	return ((double) pow(((double) (((double) (1.0 - alpha)) * ((double) fmax(0.0, utility)))), ((double) (1.0 / ((double) (1.0 - alpha))))));
}

Error

Bits error versus alpha

Bits error versus utility

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 2.7

    \[{\left(\left(1 - \alpha\right) \cdot \mathsf{max}\left(0.0, utility\right)\right)}^{\left(\frac{1}{1 - \alpha}\right)}\]

  2. Final simplification2.7

    \[\leadsto {\left(\left(1 - \alpha\right) \cdot \mathsf{max}\left(0.0, utility\right)\right)}^{\left(\frac{1}{1 - \alpha}\right)}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (alpha utility)
  :name "(pow (* (- 1 alpha) (fmax 0 utility)) (/ 1 (- 1 alpha)))"
  :precision binary64
  (pow (* (- 1.0 alpha) (fmax 0.0 utility)) (/ 1.0 (- 1.0 alpha))))