Average Error: 0.0 → 0.0
Time: 1.5s
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 r177191 = x;
        double r177192 = y;
        double r177193 = r177191 - r177192;
        double r177194 = 1.0;
        double r177195 = r177194 - r177192;
        double r177196 = r177193 / r177195;
        return r177196;
}
↓
double f(double x, double y) {
        double r177197 = x;
        double r177198 = 1.0;
        double r177199 = y;
        double r177200 = r177198 - r177199;
        double r177201 = r177197 / r177200;
        double r177202 = r177199 / r177200;
        double r177203 = r177201 - r177202;
        return r177203;
}

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 2020049 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))