Average Error: 0.0 → 0.0
Time: 1.9s
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 r33410 = x;
        double r33411 = 1.0;
        double r33412 = r33410 + r33411;
        double r33413 = r33411 - r33410;
        double r33414 = r33412 / r33413;
        return r33414;
}
↓
double f(double x) {
        double r33415 = x;
        double r33416 = 1.0;
        double r33417 = r33415 + r33416;
        double r33418 = r33416 - r33415;
        double r33419 = r33417 / r33418;
        return r33419;
}

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 2020047 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))