Average Error: 0.0 → 0.0
Time: 7.0s
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 r1733424 = x;
        double r1733425 = 1.0;
        double r1733426 = r1733424 + r1733425;
        double r1733427 = r1733425 - r1733424;
        double r1733428 = r1733426 / r1733427;
        return r1733428;
}
↓
double f(double x) {
        double r1733429 = 1.0;
        double r1733430 = x;
        double r1733431 = r1733429 + r1733430;
        double r1733432 = r1733429 - r1733430;
        double r1733433 = r1733431 / r1733432;
        return r1733433;
}

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 2019170 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))