Average Error: 4.1 → 4.1
Time: 1.2s
Precision: binary64
\[{\left(\sqrt{f}\right)}^{\left(\frac{1}{3}\right)}\]
↓
\[{\left(\sqrt{f}\right)}^{\left(\frac{1}{3}\right)}\]
{\left(\sqrt{f}\right)}^{\left(\frac{1}{3}\right)}
↓
{\left(\sqrt{f}\right)}^{\left(\frac{1}{3}\right)}
double code(double f) {
	return ((double) pow(((double) sqrt(f)), ((double) (1.0 / 3.0))));
}
↓
double code(double f) {
	return ((double) pow(((double) sqrt(f)), ((double) (1.0 / 3.0))));
}

Error

Bits error versus f

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 4.1

    \[{\left(\sqrt{f}\right)}^{\left(\frac{1}{3}\right)}\]

  2. Final simplification4.1

    \[\leadsto {\left(\sqrt{f}\right)}^{\left(\frac{1}{3}\right)}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (f)
  :name "(pow (sqrt f) (/ 1 3))"
  :precision binary64
  (pow (sqrt f) (/ 1.0 3.0)))