Average Error: 59.7 → 59.7
Time: 2.4s
Precision: binary64
\[\sqrt{x + 1} - \sqrt{x - 1}\]
↓
\[\sqrt{x + 1} - \sqrt{x - 1}\]
\sqrt{x + 1} - \sqrt{x - 1}
↓
\sqrt{x + 1} - \sqrt{x - 1}
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(((double) (x - 1.0))))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(((double) (x - 1.0))))));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 59.7

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

  2. Final simplification59.7

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

Reproduce

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