Average Error: 21.0 → 21.0
Time: 964.0ms
Precision: binary64
\[\sqrt{x + 2} - \sqrt{x + 1}\]
↓
\[\sqrt{x + 2} - \sqrt{x + 1}\]
\sqrt{x + 2} - \sqrt{x + 1}
↓
\sqrt{x + 2} - \sqrt{x + 1}
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 2.0)))) - ((double) sqrt(((double) (x + 1.0))))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 2.0)))) - ((double) sqrt(((double) (x + 1.0))))));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 21.0

    \[\sqrt{x + 2} - \sqrt{x + 1}\]

  2. Final simplification21.0

    \[\leadsto \sqrt{x + 2} - \sqrt{x + 1}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (sqrt (+ x 2)) (sqrt (+ x 1)))"
  :precision binary64
  (- (sqrt (+ x 2.0)) (sqrt (+ x 1.0))))