Average Error: 58.6 → 58.6
Time: 1.7s
Precision: binary64
\[\sqrt{1 + a} - \sqrt{1 - a}\]
↓
\[\sqrt{1 + a} - \sqrt{1 - a}\]
\sqrt{1 + a} - \sqrt{1 - a}
↓
\sqrt{1 + a} - \sqrt{1 - a}
double code(double a) {
	return ((double) (((double) sqrt(((double) (1.0 + a)))) - ((double) sqrt(((double) (1.0 - a))))));
}
↓
double code(double a) {
	return ((double) (((double) sqrt(((double) (1.0 + a)))) - ((double) sqrt(((double) (1.0 - a))))));
}

Error

Bits error versus a

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Your Program's Arguments

Results

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Derivation

  1. Initial program 58.6

    \[\sqrt{1 + a} - \sqrt{1 - a}\]

  2. Final simplification58.6

    \[\leadsto \sqrt{1 + a} - \sqrt{1 - a}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a)
  :name "(- (sqrt (+ 1 a)) (sqrt (- 1 a)))"
  :precision binary64
  (- (sqrt (+ 1.0 a)) (sqrt (- 1.0 a))))