Average Error: 0.0 → 0.0
Time: 11.1s
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 r1318066 = x;
        double r1318067 = 1.0;
        double r1318068 = r1318066 + r1318067;
        double r1318069 = r1318067 - r1318066;
        double r1318070 = r1318068 / r1318069;
        return r1318070;
}
↓
double f(double x) {
        double r1318071 = 1.0;
        double r1318072 = x;
        double r1318073 = r1318071 + r1318072;
        double r1318074 = r1318071 - r1318072;
        double r1318075 = r1318073 / r1318074;
        return r1318075;
}

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

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