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 r158036 = x;
        double r158037 = y;
        double r158038 = r158036 - r158037;
        double r158039 = 1.0;
        double r158040 = r158039 - r158037;
        double r158041 = r158038 / r158040;
        return r158041;
}
↓
double f(double x, double y) {
        double r158042 = x;
        double r158043 = 1.0;
        double r158044 = y;
        double r158045 = r158043 - r158044;
        double r158046 = r158042 / r158045;
        double r158047 = r158044 / r158045;
        double r158048 = r158046 - r158047;
        return r158048;
}

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)))