Average Error: 0.0 → 0.0
Time: 11.9s
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 r142363 = x;
        double r142364 = y;
        double r142365 = r142363 - r142364;
        double r142366 = 1.0;
        double r142367 = r142366 - r142364;
        double r142368 = r142365 / r142367;
        return r142368;
}
↓
double f(double x, double y) {
        double r142369 = x;
        double r142370 = 1.0;
        double r142371 = y;
        double r142372 = r142370 - r142371;
        double r142373 = r142369 / r142372;
        double r142374 = r142371 / r142372;
        double r142375 = r142373 - r142374;
        return r142375;
}

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 2019199 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  (/ (- x y) (- 1.0 y)))