Average Error: 0.0 → 0.0
Time: 10.8s
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 r131261 = x;
        double r131262 = y;
        double r131263 = r131261 - r131262;
        double r131264 = 1.0;
        double r131265 = r131264 - r131262;
        double r131266 = r131263 / r131265;
        return r131266;
}
↓
double f(double x, double y) {
        double r131267 = x;
        double r131268 = 1.0;
        double r131269 = y;
        double r131270 = r131268 - r131269;
        double r131271 = r131267 / r131270;
        double r131272 = r131269 / r131270;
        double r131273 = r131271 - r131272;
        return r131273;
}

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 2019325 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))