Average Error: 20.5 → 20.5
Time: 1.0s
Precision: binary64
\[\sqrt{{x}^{2} - y}\]
↓
\[\sqrt{{x}^{2} - y}\]
\sqrt{{x}^{2} - y}
↓
\sqrt{{x}^{2} - y}
double code(double x, double y) {
	return ((double) sqrt(((double) (((double) pow(x, 2.0)) - y))));
}
↓
double code(double x, double y) {
	return ((double) sqrt(((double) (((double) pow(x, 2.0)) - y))));
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 20.5

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

  2. Final simplification20.5

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

Reproduce

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