Average Error: 0.0 → 0.0
Time: 942.0ms
Precision: binary64
\[\frac{\sqrt{1 + x}}{\sqrt{1 - x}}\]
↓
\[\frac{\sqrt{1 + x}}{\sqrt{1 - x}}\]
\frac{\sqrt{1 + x}}{\sqrt{1 - x}}
↓
\frac{\sqrt{1 + x}}{\sqrt{1 - x}}
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 + x)))) / ((double) sqrt(((double) (1.0 - x))))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 + x)))) / ((double) sqrt(((double) (1.0 - x))))));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

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