Average Error: 0.0 → 0.0
Time: 10.3s
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 r143921 = x;
        double r143922 = y;
        double r143923 = r143921 - r143922;
        double r143924 = 1.0;
        double r143925 = r143924 - r143922;
        double r143926 = r143923 / r143925;
        return r143926;
}
↓
double f(double x, double y) {
        double r143927 = x;
        double r143928 = 1.0;
        double r143929 = y;
        double r143930 = r143928 - r143929;
        double r143931 = r143927 / r143930;
        double r143932 = r143929 / r143930;
        double r143933 = r143931 - r143932;
        return r143933;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  (/ (- x y) (- 1.0 y)))