Average Error: 0.0 → 0.0
Time: 11.5s
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 r114618 = x;
        double r114619 = y;
        double r114620 = r114618 - r114619;
        double r114621 = 1.0;
        double r114622 = r114621 - r114619;
        double r114623 = r114620 / r114622;
        return r114623;
}
↓
double f(double x, double y) {
        double r114624 = x;
        double r114625 = 1.0;
        double r114626 = y;
        double r114627 = r114625 - r114626;
        double r114628 = r114624 / r114627;
        double r114629 = r114626 / r114627;
        double r114630 = r114628 - r114629;
        return r114630;
}

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 2019323 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))