Average Error: 29.9 → 29.9
Time: 3.6s
Precision: binary64
\[{\left(x + 1\right)}^{\left(\frac{1}{3}\right)} - {x}^{\left(\frac{1}{3}\right)}\]
↓
\[{\left(x + 1\right)}^{\left(\frac{1}{3}\right)} - {x}^{\left(\frac{1}{3}\right)}\]
{\left(x + 1\right)}^{\left(\frac{1}{3}\right)} - {x}^{\left(\frac{1}{3}\right)}
↓
{\left(x + 1\right)}^{\left(\frac{1}{3}\right)} - {x}^{\left(\frac{1}{3}\right)}
double code(double x) {
	return ((double) (((double) pow(((double) (x + 1.0)), ((double) (1.0 / 3.0)))) - ((double) pow(x, ((double) (1.0 / 3.0))))));
}
↓
double code(double x) {
	return ((double) (((double) pow(((double) (x + 1.0)), ((double) (1.0 / 3.0)))) - ((double) pow(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 29.9

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

  2. Final simplification29.9

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

Reproduce

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