Average Error: 58.7 → 58.7
Time: 14.0s
Precision: binary64
\[{\left(1 - x\right)}^{\left(\frac{1}{3}\right)} - {\left(1 + x\right)}^{\left(\frac{1}{3}\right)}\]
↓
\[{\left(1 - x\right)}^{\left(\frac{1}{3}\right)} - {\left(1 + x\right)}^{\left(\frac{1}{3}\right)}\]
{\left(1 - x\right)}^{\left(\frac{1}{3}\right)} - {\left(1 + x\right)}^{\left(\frac{1}{3}\right)}
↓
{\left(1 - x\right)}^{\left(\frac{1}{3}\right)} - {\left(1 + x\right)}^{\left(\frac{1}{3}\right)}
double code(double x) {
	return ((double) (((double) pow(((double) (1.0 - x)), ((double) (1.0 / 3.0)))) - ((double) pow(((double) (1.0 + x)), ((double) (1.0 / 3.0))))));
}
↓
double code(double x) {
	return ((double) (((double) pow(((double) (1.0 - x)), ((double) (1.0 / 3.0)))) - ((double) pow(((double) (1.0 + x)), ((double) (1.0 / 3.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 58.7

    \[{\left(1 - x\right)}^{\left(\frac{1}{3}\right)} - {\left(1 + x\right)}^{\left(\frac{1}{3}\right)}\]

  2. Final simplification58.7

    \[\leadsto {\left(1 - x\right)}^{\left(\frac{1}{3}\right)} - {\left(1 + x\right)}^{\left(\frac{1}{3}\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (pow (- 1 x) (/ 1 3)) (pow (+ 1 x) (/ 1 3)))"
  :precision binary64
  (- (pow (- 1.0 x) (/ 1.0 3.0)) (pow (+ 1.0 x) (/ 1.0 3.0))))