Average Error: 0.0 → 0.0
Time: 1.9s
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 r197623 = x;
        double r197624 = y;
        double r197625 = r197623 - r197624;
        double r197626 = 1.0;
        double r197627 = r197626 - r197624;
        double r197628 = r197625 / r197627;
        return r197628;
}
↓
double f(double x, double y) {
        double r197629 = x;
        double r197630 = 1.0;
        double r197631 = y;
        double r197632 = r197630 - r197631;
        double r197633 = r197629 / r197632;
        double r197634 = r197631 / r197632;
        double r197635 = r197633 - r197634;
        return r197635;
}

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 2020060 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))