Average Error: 0.0 → 0.0
Time: 1.3s
Precision: binary64
\[{\left(\sqrt{2}\right)}^{\left(\frac{x}{N}\right)}\]
↓
\[{\left(\sqrt{2}\right)}^{\left(\frac{x}{N}\right)}\]
{\left(\sqrt{2}\right)}^{\left(\frac{x}{N}\right)}
↓
{\left(\sqrt{2}\right)}^{\left(\frac{x}{N}\right)}
double code(double x, double N) {
	return ((double) pow(((double) sqrt(2.0)), ((double) (x / N))));
}
↓
double code(double x, double N) {
	return ((double) pow(((double) sqrt(2.0)), ((double) (x / N))));
}

Error

Bits error versus x

Bits error versus N

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x N)
  :name "(pow (sqrt 2) (/ x N))"
  :precision binary64
  (pow (sqrt 2.0) (/ x N)))