Average Error: 0.0 → 0.0
Time: 2.7s
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 r118818 = x;
        double r118819 = y;
        double r118820 = r118818 - r118819;
        double r118821 = 1.0;
        double r118822 = r118821 - r118819;
        double r118823 = r118820 / r118822;
        return r118823;
}
↓
double f(double x, double y) {
        double r118824 = x;
        double r118825 = 1.0;
        double r118826 = y;
        double r118827 = r118825 - r118826;
        double r118828 = r118824 / r118827;
        double r118829 = r118826 / r118827;
        double r118830 = r118828 - r118829;
        return r118830;
}

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 2019308 
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))