Average Error: 0.0 → 0.0
Time: 10.0s
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 r124605 = x;
        double r124606 = y;
        double r124607 = r124605 - r124606;
        double r124608 = 1.0;
        double r124609 = r124608 - r124606;
        double r124610 = r124607 / r124609;
        return r124610;
}
↓
double f(double x, double y) {
        double r124611 = x;
        double r124612 = 1.0;
        double r124613 = y;
        double r124614 = r124612 - r124613;
        double r124615 = r124611 / r124614;
        double r124616 = r124613 / r124614;
        double r124617 = r124615 - r124616;
        return r124617;
}

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 2019326 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))