Average Error: 0.0 → 0.0
Time: 1.7s
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 r187296 = x;
        double r187297 = y;
        double r187298 = r187296 - r187297;
        double r187299 = 1.0;
        double r187300 = r187299 - r187297;
        double r187301 = r187298 / r187300;
        return r187301;
}
↓
double f(double x, double y) {
        double r187302 = x;
        double r187303 = 1.0;
        double r187304 = y;
        double r187305 = r187303 - r187304;
        double r187306 = r187302 / r187305;
        double r187307 = r187304 / r187305;
        double r187308 = r187306 - r187307;
        return r187308;
}

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 2020033 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))