Average Error: 0.0 → 0.0
Time: 21.1s
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 r13283221 = x;
        double r13283222 = y;
        double r13283223 = r13283221 - r13283222;
        double r13283224 = 1.0;
        double r13283225 = r13283224 - r13283222;
        double r13283226 = r13283223 / r13283225;
        return r13283226;
}
↓
double f(double x, double y) {
        double r13283227 = x;
        double r13283228 = 1.0;
        double r13283229 = y;
        double r13283230 = r13283228 - r13283229;
        double r13283231 = r13283227 / r13283230;
        double r13283232 = r13283229 / r13283230;
        double r13283233 = r13283231 - r13283232;
        return r13283233;
}

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)))