Average Error: 26.0 → 26.0
Time: 974.0ms
Precision: binary64
\[2 \cdot \frac{x}{x \cdot x - 1} - \frac{2}{x}\]
↓
\[2 \cdot \frac{x}{x \cdot x - 1} - \frac{2}{x}\]
2 \cdot \frac{x}{x \cdot x - 1} - \frac{2}{x}
↓
2 \cdot \frac{x}{x \cdot x - 1} - \frac{2}{x}
double code(double x) {
	return ((double) (((double) (2.0 * ((double) (x / ((double) (((double) (x * x)) - 1.0)))))) - ((double) (2.0 / x))));
}
↓
double code(double x) {
	return ((double) (((double) (2.0 * ((double) (x / ((double) (((double) (x * x)) - 1.0)))))) - ((double) (2.0 / x))));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 26.0

    \[2 \cdot \frac{x}{x \cdot x - 1} - \frac{2}{x}\]

  2. Final simplification26.0

    \[\leadsto 2 \cdot \frac{x}{x \cdot x - 1} - \frac{2}{x}\]

Reproduce

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