Average Error: 0.0 → 0.0
Time: 2.0s
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 r259303 = x;
        double r259304 = y;
        double r259305 = r259303 - r259304;
        double r259306 = 1.0;
        double r259307 = r259306 - r259304;
        double r259308 = r259305 / r259307;
        return r259308;
}
↓
double f(double x, double y) {
        double r259309 = x;
        double r259310 = 1.0;
        double r259311 = y;
        double r259312 = r259310 - r259311;
        double r259313 = r259309 / r259312;
        double r259314 = r259311 / r259312;
        double r259315 = r259313 - r259314;
        return r259315;
}

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 2019318 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))