Average Error: 0.0 → 0.0
Time: 1.6s
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 r37693 = x;
        double r37694 = 1.0;
        double r37695 = r37693 + r37694;
        double r37696 = r37694 - r37693;
        double r37697 = r37695 / r37696;
        return r37697;
}
↓
double f(double x) {
        double r37698 = x;
        double r37699 = 1.0;
        double r37700 = r37698 + r37699;
        double r37701 = r37699 - r37698;
        double r37702 = r37700 / r37701;
        return r37702;
}

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 2020018 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))