Average Error: 9.6 → 9.6
Time: 4.5s
Precision: binary64
\[\left({x}^{\left(\frac{1}{3}\right)} - {\left(x + 1\right)}^{\left(\frac{1}{3}\right)}\right) - time\]
↓
\[\left({x}^{\left(\frac{1}{3}\right)} - {\left(x + 1\right)}^{\left(\frac{1}{3}\right)}\right) - time\]
\left({x}^{\left(\frac{1}{3}\right)} - {\left(x + 1\right)}^{\left(\frac{1}{3}\right)}\right) - time
↓
\left({x}^{\left(\frac{1}{3}\right)} - {\left(x + 1\right)}^{\left(\frac{1}{3}\right)}\right) - time
double code(double x, double time) {
	return ((double) (((double) (((double) pow(x, ((double) (1.0 / 3.0)))) - ((double) pow(((double) (x + 1.0)), ((double) (1.0 / 3.0)))))) - time));
}
↓
double code(double x, double time) {
	return ((double) (((double) (((double) pow(x, ((double) (1.0 / 3.0)))) - ((double) pow(((double) (x + 1.0)), ((double) (1.0 / 3.0)))))) - time));
}

Error

Bits error versus x

Bits error versus time

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 9.6

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

  2. Final simplification9.6

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

Reproduce

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