Average Error: 0.0 → 0.0
Time: 1.1s
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 r36655 = x;
        double r36656 = 1.0;
        double r36657 = r36655 + r36656;
        double r36658 = r36656 - r36655;
        double r36659 = r36657 / r36658;
        return r36659;
}
↓
double f(double x) {
        double r36660 = x;
        double r36661 = 1.0;
        double r36662 = r36660 + r36661;
        double r36663 = r36661 - r36660;
        double r36664 = r36662 / r36663;
        return r36664;
}

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 2020021 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))