Average Error: 21.2 → 21.2
Time: 941.0ms
Precision: binary64
\[\sqrt{{x}^{2} - x}\]
↓
\[\sqrt{{x}^{2} - x}\]
\sqrt{{x}^{2} - x}
↓
\sqrt{{x}^{2} - x}
double code(double x) {
	return ((double) sqrt(((double) (((double) pow(x, 2.0)) - x))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (((double) pow(x, 2.0)) - x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 21.2

    \[\sqrt{{x}^{2} - x}\]

  2. Final simplification21.2

    \[\leadsto \sqrt{{x}^{2} - x}\]

Reproduce

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