Average Error: 0.0 → 0.0
Time: 1.3s
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 r35539 = x;
        double r35540 = 1.0;
        double r35541 = r35539 + r35540;
        double r35542 = r35540 - r35539;
        double r35543 = r35541 / r35542;
        return r35543;
}
↓
double f(double x) {
        double r35544 = x;
        double r35545 = 1.0;
        double r35546 = r35544 + r35545;
        double r35547 = r35545 - r35544;
        double r35548 = r35546 / r35547;
        return r35548;
}

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 2020024 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))