Average Error: 0.0 → 0.0
Time: 6.1s
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 r17350 = x;
        double r17351 = 1.0;
        double r17352 = r17350 + r17351;
        double r17353 = r17351 - r17350;
        double r17354 = r17352 / r17353;
        return r17354;
}
↓
double f(double x) {
        double r17355 = x;
        double r17356 = 1.0;
        double r17357 = r17355 + r17356;
        double r17358 = r17356 - r17355;
        double r17359 = r17357 / r17358;
        return r17359;
}

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. Simplified0.0

    \[\leadsto \color{blue}{\frac{1 + x}{1 - x}}\]

  3. Final simplification0.0

    \[\leadsto \frac{x + 1}{1 - x}\]

Reproduce

herbie shell --seed 2019179 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))