Average Error: 0.0 → 0.0
Time: 10.3s
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 r107958 = x;
        double r107959 = y;
        double r107960 = r107958 - r107959;
        double r107961 = 1.0;
        double r107962 = r107961 - r107959;
        double r107963 = r107960 / r107962;
        return r107963;
}
↓
double f(double x, double y) {
        double r107964 = x;
        double r107965 = 1.0;
        double r107966 = y;
        double r107967 = r107965 - r107966;
        double r107968 = r107964 / r107967;
        double r107969 = r107966 / r107967;
        double r107970 = r107968 - r107969;
        return r107970;
}

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 2019326 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))