Average Error: 0.0 → 0.0
Time: 7.6s
Precision: 64
\[\frac{x + 1}{1 - x}\]
↓
\[\frac{1 + x}{1 - x}\]
\frac{x + 1}{1 - x}
↓
\frac{1 + x}{1 - x}
double f(double x) {
        double r1474479 = x;
        double r1474480 = 1.0;
        double r1474481 = r1474479 + r1474480;
        double r1474482 = r1474480 - r1474479;
        double r1474483 = r1474481 / r1474482;
        return r1474483;
}
↓
double f(double x) {
        double r1474484 = 1.0;
        double r1474485 = x;
        double r1474486 = r1474484 + r1474485;
        double r1474487 = r1474484 - r1474485;
        double r1474488 = r1474486 / r1474487;
        return r1474488;
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019192 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))