Average Error: 0.0 → 0.0
Time: 11.3s
Precision: 64
\[\frac{x + 1.0}{1.0 - x}\]
↓
\[\frac{1.0 + x}{1.0 - x}\]
\frac{x + 1.0}{1.0 - x}
↓
\frac{1.0 + x}{1.0 - x}
double f(double x) {
        double r2160532 = x;
        double r2160533 = 1.0;
        double r2160534 = r2160532 + r2160533;
        double r2160535 = r2160533 - r2160532;
        double r2160536 = r2160534 / r2160535;
        return r2160536;
}
↓
double f(double x) {
        double r2160537 = 1.0;
        double r2160538 = x;
        double r2160539 = r2160537 + r2160538;
        double r2160540 = r2160537 - r2160538;
        double r2160541 = r2160539 / r2160540;
        return r2160541;
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 0.0

    \[\frac{x + 1.0}{1.0 - x}\]

  2. Final simplification0.0

    \[\leadsto \frac{1.0 + x}{1.0 - x}\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))