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 r177620 = x;
        double r177621 = y;
        double r177622 = r177620 - r177621;
        double r177623 = 1.0;
        double r177624 = r177623 - r177621;
        double r177625 = r177622 / r177624;
        return r177625;
}
↓
double f(double x, double y) {
        double r177626 = x;
        double r177627 = 1.0;
        double r177628 = y;
        double r177629 = r177627 - r177628;
        double r177630 = r177626 / r177629;
        double r177631 = r177628 / r177629;
        double r177632 = r177630 - r177631;
        return r177632;
}

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 2020083 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))