Average Error: 0.0 → 0.0
Time: 8.1s
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 r1739859 = x;
        double r1739860 = 1.0;
        double r1739861 = r1739859 + r1739860;
        double r1739862 = r1739860 - r1739859;
        double r1739863 = r1739861 / r1739862;
        return r1739863;
}
↓
double f(double x) {
        double r1739864 = 1.0;
        double r1739865 = x;
        double r1739866 = r1739864 + r1739865;
        double r1739867 = r1739864 - r1739865;
        double r1739868 = r1739866 / r1739867;
        return r1739868;
}

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 2019174 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))