Average Error: 5.1 → 5.1
Time: 1.2s
Precision: binary64
\[\frac{1}{{\left(3 \cdot x\right)}^{\left(\frac{1}{3}\right)}}\]
↓
\[\frac{1}{{\left(3 \cdot x\right)}^{\left(\frac{1}{3}\right)}}\]
\frac{1}{{\left(3 \cdot x\right)}^{\left(\frac{1}{3}\right)}}
↓
\frac{1}{{\left(3 \cdot x\right)}^{\left(\frac{1}{3}\right)}}
double code(double x) {
	return ((double) (1.0 / ((double) pow(((double) (3.0 * x)), ((double) (1.0 / 3.0))))));
}
↓
double code(double x) {
	return ((double) (1.0 / ((double) pow(((double) (3.0 * 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 5.1

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

  2. Final simplification5.1

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

Reproduce

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