Average Error: 0.0 → 0.0
Time: 9.5s
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 r207480 = x;
        double r207481 = y;
        double r207482 = r207480 - r207481;
        double r207483 = 1.0;
        double r207484 = r207483 - r207481;
        double r207485 = r207482 / r207484;
        return r207485;
}
↓
double f(double x, double y) {
        double r207486 = x;
        double r207487 = 1.0;
        double r207488 = y;
        double r207489 = r207487 - r207488;
        double r207490 = r207486 / r207489;
        double r207491 = r207488 / r207489;
        double r207492 = r207490 - r207491;
        return r207492;
}

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 2020042 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (/ (- x y) (- 1 y)))