Average Error: 0.0 → 0.0
Time: 1.6s
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 r200163 = x;
        double r200164 = y;
        double r200165 = r200163 - r200164;
        double r200166 = 1.0;
        double r200167 = r200166 - r200164;
        double r200168 = r200165 / r200167;
        return r200168;
}
↓
double f(double x, double y) {
        double r200169 = x;
        double r200170 = 1.0;
        double r200171 = y;
        double r200172 = r200170 - r200171;
        double r200173 = r200169 / r200172;
        double r200174 = r200171 / r200172;
        double r200175 = r200173 - r200174;
        return r200175;
}

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 2020003 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))