Average Error: 0.0 → 0.0
Time: 626.0ms
Precision: binary64
\[\left(\frac{1}{x} + \frac{1}{x - 1}\right) - \frac{1}{x + 1}\]
↓
\[\left(\frac{1}{x} + \frac{1}{x - 1}\right) - \frac{1}{x + 1}\]
\left(\frac{1}{x} + \frac{1}{x - 1}\right) - \frac{1}{x + 1}
↓
\left(\frac{1}{x} + \frac{1}{x - 1}\right) - \frac{1}{x + 1}
double code(double x) {
	return ((double) (((double) (((double) (1.0 / x)) + ((double) (1.0 / ((double) (x - 1.0)))))) - ((double) (1.0 / ((double) (x + 1.0))))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (1.0 / x)) + ((double) (1.0 / ((double) (x - 1.0)))))) - ((double) (1.0 / ((double) (x + 1.0))))));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 0.0

    \[\left(\frac{1}{x} + \frac{1}{x - 1}\right) - \frac{1}{x + 1}\]

  2. Final simplification0.0

    \[\leadsto \left(\frac{1}{x} + \frac{1}{x - 1}\right) - \frac{1}{x + 1}\]

Reproduce

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