Average Error: 29.2 → 29.2
Time: 1.1s
Precision: binary64
\[\frac{1 - x}{x + 1} - \frac{1}{x \cdot 3 + 1}\]
↓
\[\frac{1 - x}{x + 1} - \frac{1}{x \cdot 3 + 1}\]
\frac{1 - x}{x + 1} - \frac{1}{x \cdot 3 + 1}
↓
\frac{1 - x}{x + 1} - \frac{1}{x \cdot 3 + 1}
double code(double x) {
	return ((double) (((double) (((double) (1.0 - x)) / ((double) (x + 1.0)))) - ((double) (1.0 / ((double) (((double) (x * 3.0)) + 1.0))))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (1.0 - x)) / ((double) (x + 1.0)))) - ((double) (1.0 / ((double) (((double) (x * 3.0)) + 1.0))))));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 29.2

    \[\frac{1 - x}{x + 1} - \frac{1}{x \cdot 3 + 1}\]

  2. Final simplification29.2

    \[\leadsto \frac{1 - x}{x + 1} - \frac{1}{x \cdot 3 + 1}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (/ (- 1 x) (+ x 1)) (/ 1 (+ (* x 3) 1)))"
  :precision binary64
  (- (/ (- 1.0 x) (+ x 1.0)) (/ 1.0 (+ (* x 3.0) 1.0))))