Average Error: 0.0 → 0.0
Time: 933.0ms
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 r134299 = x;
        double r134300 = y;
        double r134301 = r134299 - r134300;
        double r134302 = 1.0;
        double r134303 = r134302 - r134300;
        double r134304 = r134301 / r134303;
        return r134304;
}
↓
double f(double x, double y) {
        double r134305 = x;
        double r134306 = 1.0;
        double r134307 = y;
        double r134308 = r134306 - r134307;
        double r134309 = r134305 / r134308;
        double r134310 = r134307 / r134308;
        double r134311 = r134309 - r134310;
        return r134311;
}

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 2020089 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))