Average Error: 0.0 → 0.0
Time: 7.8s
Precision: 64
\[\frac{x + 1}{1 - x}\]
↓
\[\frac{x + 1}{1 - x}\]
\frac{x + 1}{1 - x}
↓
\frac{x + 1}{1 - x}
double f(double x) {
        double r20557 = x;
        double r20558 = 1.0;
        double r20559 = r20557 + r20558;
        double r20560 = r20558 - r20557;
        double r20561 = r20559 / r20560;
        return r20561;
}
↓
double f(double x) {
        double r20562 = x;
        double r20563 = 1.0;
        double r20564 = r20562 + r20563;
        double r20565 = r20563 - r20562;
        double r20566 = r20564 / r20565;
        return r20566;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x + 1}{1 - x}\]

  2. Final simplification0.0

    \[\leadsto \frac{x + 1}{1 - x}\]

Reproduce

herbie shell --seed 2019326 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))