Average Error: 0.0 → 0.0
Time: 10.0s
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 r29631 = x;
        double r29632 = 1.0;
        double r29633 = r29631 + r29632;
        double r29634 = r29632 - r29631;
        double r29635 = r29633 / r29634;
        return r29635;
}
↓
double f(double x) {
        double r29636 = x;
        double r29637 = 1.0;
        double r29638 = r29636 + r29637;
        double r29639 = r29637 - r29636;
        double r29640 = r29638 / r29639;
        return r29640;
}

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 2019304 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))