Average Error: 0.0 → 0.0
Time: 10.5s
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 r249609 = x;
        double r249610 = y;
        double r249611 = r249609 - r249610;
        double r249612 = 1.0;
        double r249613 = r249612 - r249610;
        double r249614 = r249611 / r249613;
        return r249614;
}
↓
double f(double x, double y) {
        double r249615 = x;
        double r249616 = 1.0;
        double r249617 = y;
        double r249618 = r249616 - r249617;
        double r249619 = r249615 / r249618;
        double r249620 = r249617 / r249618;
        double r249621 = r249619 - r249620;
        return r249621;
}

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 2020046 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))