Average Error: 5.1 → 5.1
Time: 1.1s
Precision: binary64
\[\frac{1}{{x}^{2} - {y}^{2}}\]
↓
\[\frac{1}{{x}^{2} - {y}^{2}}\]
\frac{1}{{x}^{2} - {y}^{2}}
↓
\frac{1}{{x}^{2} - {y}^{2}}
double code(double x, double y) {
	return ((double) (1.0 / ((double) (((double) pow(x, 2.0)) - ((double) pow(y, 2.0))))));
}
↓
double code(double x, double y) {
	return ((double) (1.0 / ((double) (((double) pow(x, 2.0)) - ((double) pow(y, 2.0))))));
}

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 5.1

    \[\frac{1}{{x}^{2} - {y}^{2}}\]

  2. Final simplification5.1

    \[\leadsto \frac{1}{{x}^{2} - {y}^{2}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x y)
  :name "(/ 1 (- (pow x 2) (pow y 2)))"
  :precision binary64
  (/ 1.0 (- (pow x 2.0) (pow y 2.0))))