Average Error: 0.0 → 0.0
Time: 1.0s
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 r193136 = x;
        double r193137 = y;
        double r193138 = r193136 - r193137;
        double r193139 = 1.0;
        double r193140 = r193139 - r193137;
        double r193141 = r193138 / r193140;
        return r193141;
}
↓
double f(double x, double y) {
        double r193142 = x;
        double r193143 = 1.0;
        double r193144 = y;
        double r193145 = r193143 - r193144;
        double r193146 = r193142 / r193145;
        double r193147 = r193144 / r193145;
        double r193148 = r193146 - r193147;
        return r193148;
}

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 2019322 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))