Average Error: 0.0 → 0.0
Time: 1.9s
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 r165918 = x;
        double r165919 = y;
        double r165920 = r165918 - r165919;
        double r165921 = 1.0;
        double r165922 = r165921 - r165919;
        double r165923 = r165920 / r165922;
        return r165923;
}
↓
double f(double x, double y) {
        double r165924 = x;
        double r165925 = 1.0;
        double r165926 = y;
        double r165927 = r165925 - r165926;
        double r165928 = r165924 / r165927;
        double r165929 = r165926 / r165927;
        double r165930 = r165928 - r165929;
        return r165930;
}

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 2020062 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))