Average Error: 0.0 → 0.0
Time: 11.4s
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 r218219 = x;
        double r218220 = y;
        double r218221 = r218219 - r218220;
        double r218222 = 1.0;
        double r218223 = r218222 - r218220;
        double r218224 = r218221 / r218223;
        return r218224;
}
↓
double f(double x, double y) {
        double r218225 = x;
        double r218226 = 1.0;
        double r218227 = y;
        double r218228 = r218226 - r218227;
        double r218229 = r218225 / r218228;
        double r218230 = r218227 / r218228;
        double r218231 = r218229 - r218230;
        return r218231;
}

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 2019198 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  (/ (- x y) (- 1.0 y)))