Average Error: 40.5 → 40.5
Time: 4.9s
Precision: binary64
\[1 - {\left(1 - x\right)}^{\left(\frac{1}{12}\right)}\]
↓
\[1 - {\left(1 - x\right)}^{\left(\frac{1}{12}\right)}\]
1 - {\left(1 - x\right)}^{\left(\frac{1}{12}\right)}
↓
1 - {\left(1 - x\right)}^{\left(\frac{1}{12}\right)}
double code(double x) {
	return ((double) (1.0 - ((double) pow(((double) (1.0 - x)), ((double) (1.0 / 12.0))))));
}
↓
double code(double x) {
	return ((double) (1.0 - ((double) pow(((double) (1.0 - x)), ((double) (1.0 / 12.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 40.5

    \[1 - {\left(1 - x\right)}^{\left(\frac{1}{12}\right)}\]

  2. Final simplification40.5

    \[\leadsto 1 - {\left(1 - x\right)}^{\left(\frac{1}{12}\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- 1 (pow (- 1 x) (/ 1 12)))"
  :precision binary64
  (- 1.0 (pow (- 1.0 x) (/ 1.0 12.0))))