Average Error: 0.0 → 0.0
Time: 1.2s
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 r26557 = x;
        double r26558 = 1.0;
        double r26559 = r26557 + r26558;
        double r26560 = r26558 - r26557;
        double r26561 = r26559 / r26560;
        return r26561;
}
↓
double f(double x) {
        double r26562 = x;
        double r26563 = 1.0;
        double r26564 = r26562 + r26563;
        double r26565 = r26563 - r26562;
        double r26566 = r26564 / r26565;
        return r26566;
}

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 2020089 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))