Average Error: 0.0 → 0.0
Time: 9.3s
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 r2523802 = x;
        double r2523803 = 1.0;
        double r2523804 = r2523802 + r2523803;
        double r2523805 = r2523803 - r2523802;
        double r2523806 = r2523804 / r2523805;
        return r2523806;
}
↓
double f(double x) {
        double r2523807 = 1.0;
        double r2523808 = x;
        double r2523809 = r2523807 + r2523808;
        double r2523810 = r2523807 - r2523808;
        double r2523811 = r2523809 / r2523810;
        return r2523811;
}

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))