Average Error: 0.0 → 0.0
Time: 777.0ms
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 r204912 = x;
        double r204913 = y;
        double r204914 = r204912 - r204913;
        double r204915 = 1.0;
        double r204916 = r204915 - r204913;
        double r204917 = r204914 / r204916;
        return r204917;
}
↓
double f(double x, double y) {
        double r204918 = x;
        double r204919 = 1.0;
        double r204920 = y;
        double r204921 = r204919 - r204920;
        double r204922 = r204918 / r204921;
        double r204923 = r204920 / r204921;
        double r204924 = r204922 - r204923;
        return r204924;
}

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