Average Error: 0.0 → 0.0
Time: 8.1s
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 r20559 = x;
        double r20560 = 1.0;
        double r20561 = r20559 + r20560;
        double r20562 = r20560 - r20559;
        double r20563 = r20561 / r20562;
        return r20563;
}
↓
double f(double x) {
        double r20564 = x;
        double r20565 = 1.0;
        double r20566 = r20564 + r20565;
        double r20567 = r20565 - r20564;
        double r20568 = r20566 / r20567;
        return r20568;
}

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)))