Average Error: 0.0 → 0.0
Time: 7.8s
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 r210505 = x;
        double r210506 = y;
        double r210507 = r210505 - r210506;
        double r210508 = 1.0;
        double r210509 = r210508 - r210506;
        double r210510 = r210507 / r210509;
        return r210510;
}
↓
double f(double x, double y) {
        double r210511 = x;
        double r210512 = 1.0;
        double r210513 = y;
        double r210514 = r210512 - r210513;
        double r210515 = r210511 / r210514;
        double r210516 = r210513 / r210514;
        double r210517 = r210515 - r210516;
        return r210517;
}

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 2020042 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))