Average Error: 0.0 → 0.0
Time: 12.4s
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 r120856 = x;
        double r120857 = y;
        double r120858 = r120856 - r120857;
        double r120859 = 1.0;
        double r120860 = r120859 - r120857;
        double r120861 = r120858 / r120860;
        return r120861;
}
↓
double f(double x, double y) {
        double r120862 = x;
        double r120863 = 1.0;
        double r120864 = y;
        double r120865 = r120863 - r120864;
        double r120866 = r120862 / r120865;
        double r120867 = r120864 / r120865;
        double r120868 = r120866 - r120867;
        return r120868;
}

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)))