Average Error: 0.0 → 0.0
Time: 11.5s
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 r120006 = x;
        double r120007 = y;
        double r120008 = r120006 - r120007;
        double r120009 = 1.0;
        double r120010 = r120009 - r120007;
        double r120011 = r120008 / r120010;
        return r120011;
}
↓
double f(double x, double y) {
        double r120012 = x;
        double r120013 = 1.0;
        double r120014 = y;
        double r120015 = r120013 - r120014;
        double r120016 = r120012 / r120015;
        double r120017 = r120014 / r120015;
        double r120018 = r120016 - r120017;
        return r120018;
}

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 2019323 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))