Average Error: 0.0 → 0.0
Time: 1.5s
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 r174724 = x;
        double r174725 = y;
        double r174726 = r174724 - r174725;
        double r174727 = 1.0;
        double r174728 = r174727 - r174725;
        double r174729 = r174726 / r174728;
        return r174729;
}
↓
double f(double x, double y) {
        double r174730 = x;
        double r174731 = 1.0;
        double r174732 = y;
        double r174733 = r174731 - r174732;
        double r174734 = r174730 / r174733;
        double r174735 = r174732 / r174733;
        double r174736 = r174734 - r174735;
        return r174736;
}

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 2019362 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))