Average Error: 0.0 → 0.0
Time: 8.2s
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 r180812 = x;
        double r180813 = y;
        double r180814 = r180812 - r180813;
        double r180815 = 1.0;
        double r180816 = r180815 - r180813;
        double r180817 = r180814 / r180816;
        return r180817;
}
↓
double f(double x, double y) {
        double r180818 = x;
        double r180819 = 1.0;
        double r180820 = y;
        double r180821 = r180819 - r180820;
        double r180822 = r180818 / r180821;
        double r180823 = r180820 / r180821;
        double r180824 = r180822 - r180823;
        return r180824;
}

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 2020047 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))