Average Error: 0.0 → 0.0
Time: 1.4s
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 r164090 = x;
        double r164091 = y;
        double r164092 = r164090 - r164091;
        double r164093 = 1.0;
        double r164094 = r164093 - r164091;
        double r164095 = r164092 / r164094;
        return r164095;
}
↓
double f(double x, double y) {
        double r164096 = x;
        double r164097 = 1.0;
        double r164098 = y;
        double r164099 = r164097 - r164098;
        double r164100 = r164096 / r164099;
        double r164101 = r164098 / r164099;
        double r164102 = r164100 - r164101;
        return r164102;
}

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 2020025 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))