Average Error: 0.0 → 0.0
Time: 2.2s
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 r271755 = x;
        double r271756 = y;
        double r271757 = r271755 - r271756;
        double r271758 = 1.0;
        double r271759 = r271758 - r271756;
        double r271760 = r271757 / r271759;
        return r271760;
}
↓
double f(double x, double y) {
        double r271761 = x;
        double r271762 = 1.0;
        double r271763 = y;
        double r271764 = r271762 - r271763;
        double r271765 = r271761 / r271764;
        double r271766 = r271763 / r271764;
        double r271767 = r271765 - r271766;
        return r271767;
}

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 2020065 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))