Average Error: 0.0 → 0.0
Time: 7.7s
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 r147704 = x;
        double r147705 = y;
        double r147706 = r147704 - r147705;
        double r147707 = 1.0;
        double r147708 = r147707 - r147705;
        double r147709 = r147706 / r147708;
        return r147709;
}
↓
double f(double x, double y) {
        double r147710 = x;
        double r147711 = 1.0;
        double r147712 = y;
        double r147713 = r147711 - r147712;
        double r147714 = r147710 / r147713;
        double r147715 = r147712 / r147713;
        double r147716 = r147714 - r147715;
        return r147716;
}

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 2019325 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))