Average Error: 0.0 → 0.0
Time: 16.3s
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 r171717 = x;
        double r171718 = y;
        double r171719 = r171717 - r171718;
        double r171720 = 1.0;
        double r171721 = r171720 - r171718;
        double r171722 = r171719 / r171721;
        return r171722;
}
↓
double f(double x, double y) {
        double r171723 = x;
        double r171724 = 1.0;
        double r171725 = y;
        double r171726 = r171724 - r171725;
        double r171727 = r171723 / r171726;
        double r171728 = r171725 / r171726;
        double r171729 = r171727 - r171728;
        return r171729;
}

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 2019303 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))