Average Error: 0.0 → 0.0
Time: 779.0ms
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 r167282 = x;
        double r167283 = y;
        double r167284 = r167282 - r167283;
        double r167285 = 1.0;
        double r167286 = r167285 - r167283;
        double r167287 = r167284 / r167286;
        return r167287;
}
↓
double f(double x, double y) {
        double r167288 = x;
        double r167289 = 1.0;
        double r167290 = y;
        double r167291 = r167289 - r167290;
        double r167292 = r167288 / r167291;
        double r167293 = r167290 / r167291;
        double r167294 = r167292 - r167293;
        return r167294;
}

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 2020064 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))