Average Error: 0.0 → 0.0
Time: 3.0s
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 r900 = x;
        double r901 = y;
        double r902 = r900 - r901;
        double r903 = 1.0;
        double r904 = r903 - r901;
        double r905 = r902 / r904;
        return r905;
}
↓
double f(double x, double y) {
        double r906 = x;
        double r907 = 1.0;
        double r908 = y;
        double r909 = r907 - r908;
        double r910 = r906 / r909;
        double r911 = r908 / r909;
        double r912 = r910 - r911;
        return r912;
}

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 2020025 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))