Average Error: 0.0 → 0.0
Time: 2.4s
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 r40328 = x;
        double r40329 = 1.0;
        double r40330 = r40328 + r40329;
        double r40331 = r40329 - r40328;
        double r40332 = r40330 / r40331;
        return r40332;
}
↓
double f(double x) {
        double r40333 = x;
        double r40334 = 1.0;
        double r40335 = r40333 + r40334;
        double r40336 = r40334 - r40333;
        double r40337 = r40335 / r40336;
        return r40337;
}

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 2019352 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))