Average Error: 9.1 → 9.1
Time: 1.7s
Precision: binary64
\[\sqrt{{x4}^{5}} - \sqrt{2}\]
↓
\[\sqrt{{x4}^{5}} - \sqrt{2}\]
\sqrt{{x4}^{5}} - \sqrt{2}
↓
\sqrt{{x4}^{5}} - \sqrt{2}
double code(double x4) {
	return ((double) (((double) sqrt(((double) pow(x4, 5.0)))) - ((double) sqrt(2.0))));
}
↓
double code(double x4) {
	return ((double) (((double) sqrt(((double) pow(x4, 5.0)))) - ((double) sqrt(2.0))));
}

Error

Bits error versus x4

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 9.1

    \[\sqrt{{x4}^{5}} - \sqrt{2}\]

  2. Final simplification9.1

    \[\leadsto \sqrt{{x4}^{5}} - \sqrt{2}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x4)
  :name "(- (sqrt (pow x4 5)) (sqrt 2))"
  :precision binary64
  (- (sqrt (pow x4 5.0)) (sqrt 2.0)))