Average Error: 0.0 → 0.0
Time: 7.4s
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 r143605 = x;
        double r143606 = y;
        double r143607 = r143605 - r143606;
        double r143608 = 1.0;
        double r143609 = r143608 - r143606;
        double r143610 = r143607 / r143609;
        return r143610;
}
↓
double f(double x, double y) {
        double r143611 = x;
        double r143612 = 1.0;
        double r143613 = y;
        double r143614 = r143612 - r143613;
        double r143615 = r143611 / r143614;
        double r143616 = r143613 / r143614;
        double r143617 = r143615 - r143616;
        return r143617;
}

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 2019196 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Trail:splitAtParam  from diagrams-lib-1.3.0.3, C"
  (/ (- x y) (- 1.0 y)))