Average Error: 0.0 → 0.0
Time: 10.0s
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 r119847 = x;
        double r119848 = y;
        double r119849 = r119847 - r119848;
        double r119850 = 1.0;
        double r119851 = r119850 - r119848;
        double r119852 = r119849 / r119851;
        return r119852;
}
↓
double f(double x, double y) {
        double r119853 = x;
        double r119854 = 1.0;
        double r119855 = y;
        double r119856 = r119854 - r119855;
        double r119857 = r119853 / r119856;
        double r119858 = r119855 / r119856;
        double r119859 = r119857 - r119858;
        return r119859;
}

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 2019323 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))