Average Error: 15.1 → 15.1
Time: 489.0ms
Precision: binary64
\[\frac{x - 1}{x \cdot x - 1}\]
↓
\[\frac{x - 1}{x \cdot x - 1}\]
\frac{x - 1}{x \cdot x - 1}
↓
\frac{x - 1}{x \cdot x - 1}
double code(double x) {
	return ((double) (((double) (x - 1.0)) / ((double) (((double) (x * x)) - 1.0))));
}
↓
double code(double x) {
	return ((double) (((double) (x - 1.0)) / ((double) (((double) (x * x)) - 1.0))));
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 15.1

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

  2. Final simplification15.1

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

Reproduce

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