Average Error: 0.0 → 0.0
Time: 5.3s
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 r140214 = x;
        double r140215 = y;
        double r140216 = r140214 - r140215;
        double r140217 = 1.0;
        double r140218 = r140217 - r140215;
        double r140219 = r140216 / r140218;
        return r140219;
}
↓
double f(double x, double y) {
        double r140220 = x;
        double r140221 = 1.0;
        double r140222 = y;
        double r140223 = r140221 - r140222;
        double r140224 = r140220 / r140223;
        double r140225 = r140222 / r140223;
        double r140226 = r140224 - r140225;
        return r140226;
}

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 2019291 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))