Average Error: 32.2 → 32.2
Time: 2.6s
Precision: binary64
\[\sqrt{x - 2} - \sqrt{{x}^{2} - 3}\]
↓
\[\sqrt{x - 2} - \sqrt{{x}^{2} - 3}\]
\sqrt{x - 2} - \sqrt{{x}^{2} - 3}
↓
\sqrt{x - 2} - \sqrt{{x}^{2} - 3}
double code(double x) {
	return ((double) (((double) sqrt(((double) (x - 2.0)))) - ((double) sqrt(((double) (((double) pow(x, 2.0)) - 3.0))))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x - 2.0)))) - ((double) sqrt(((double) (((double) pow(x, 2.0)) - 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 32.2

    \[\sqrt{x - 2} - \sqrt{{x}^{2} - 3}\]

  2. Final simplification32.2

    \[\leadsto \sqrt{x - 2} - \sqrt{{x}^{2} - 3}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (sqrt (- x 2)) (sqrt (- (pow x 2) 3)))"
  :precision binary64
  (- (sqrt (- x 2.0)) (sqrt (- (pow x 2.0) 3.0))))