Average Error: 0.0 → 0.0
Time: 2.9s
Precision: binary64
\[{\left({x}^{x}\right)}^{\left(\frac{1}{2}\right)}\]
↓
\[{\left({x}^{x}\right)}^{\left(\frac{1}{2}\right)}\]
{\left({x}^{x}\right)}^{\left(\frac{1}{2}\right)}
↓
{\left({x}^{x}\right)}^{\left(\frac{1}{2}\right)}
double code(double x) {
	return ((double) pow(((double) pow(x, x)), ((double) (1.0 / 2.0))));
}
↓
double code(double x) {
	return ((double) pow(((double) pow(x, x)), ((double) (1.0 / 2.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[{\left({x}^{x}\right)}^{\left(\frac{1}{2}\right)}\]

  2. Final simplification0.0

    \[\leadsto {\left({x}^{x}\right)}^{\left(\frac{1}{2}\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(pow (pow x x) (/ 1 2))"
  :precision binary64
  (pow (pow x x) (/ 1.0 2.0)))