Average Error: 0.0 → 0.0
Time: 6.6s
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 r24594 = x;
        double r24595 = 1.0;
        double r24596 = r24594 + r24595;
        double r24597 = r24595 - r24594;
        double r24598 = r24596 / r24597;
        return r24598;
}
↓
double f(double x) {
        double r24599 = x;
        double r24600 = 1.0;
        double r24601 = r24599 + r24600;
        double r24602 = r24600 - r24599;
        double r24603 = r24601 / r24602;
        return r24603;
}

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 2019322 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))