Average Error: 0.0 → 0.0
Time: 1.8s
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 r216611 = x;
        double r216612 = y;
        double r216613 = r216611 - r216612;
        double r216614 = 1.0;
        double r216615 = r216614 - r216612;
        double r216616 = r216613 / r216615;
        return r216616;
}
↓
double f(double x, double y) {
        double r216617 = x;
        double r216618 = 1.0;
        double r216619 = y;
        double r216620 = r216618 - r216619;
        double r216621 = r216617 / r216620;
        double r216622 = r216619 / r216620;
        double r216623 = r216621 - r216622;
        return r216623;
}

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