Average Error: 0.0 → 0.0
Time: 11.8s
Precision: 64
\[\frac{x - y}{1 - y}\]
↓
\[\frac{x}{1 - y} - \frac{y}{1 - y}\]
\frac{x - y}{1 - y}
↓
\frac{x}{1 - y} - \frac{y}{1 - y}
double f(double x, double y) {
        double r101357 = x;
        double r101358 = y;
        double r101359 = r101357 - r101358;
        double r101360 = 1.0;
        double r101361 = r101360 - r101358;
        double r101362 = r101359 / r101361;
        return r101362;
}
↓
double f(double x, double y) {
        double r101363 = x;
        double r101364 = 1.0;
        double r101365 = y;
        double r101366 = r101364 - r101365;
        double r101367 = r101363 / r101366;
        double r101368 = r101365 / r101366;
        double r101369 = r101367 - r101368;
        return r101369;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{1 - y}\]
  2. Using strategy rm

  3. Applied div-sub0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019326 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))