Average Error: 0.0 → 0.0
Time: 10.3s
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 r107718 = x;
        double r107719 = y;
        double r107720 = r107718 - r107719;
        double r107721 = 1.0;
        double r107722 = r107721 - r107719;
        double r107723 = r107720 / r107722;
        return r107723;
}
↓
double f(double x, double y) {
        double r107724 = x;
        double r107725 = 1.0;
        double r107726 = y;
        double r107727 = r107725 - r107726;
        double r107728 = r107724 / r107727;
        double r107729 = r107726 / r107727;
        double r107730 = r107728 - r107729;
        return r107730;
}

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 2019294 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))