Average Error: 0.0 → 0.0
Time: 1.7m
Precision: 64
\[\frac{x - y}{x + y}\]
↓
\[\frac{x}{x + y} - \frac{y}{x + y}\]
\frac{x - y}{x + y}
↓
\frac{x}{x + y} - \frac{y}{x + y}
double f(double x, double y) {
        double r31924870 = x;
        double r31924871 = y;
        double r31924872 = r31924870 - r31924871;
        double r31924873 = r31924870 + r31924871;
        double r31924874 = r31924872 / r31924873;
        return r31924874;
}
↓
double f(double x, double y) {
        double r31924875 = x;
        double r31924876 = y;
        double r31924877 = r31924875 + r31924876;
        double r31924878 = r31924875 / r31924877;
        double r31924879 = r31924876 / r31924877;
        double r31924880 = r31924878 - r31924879;
        return r31924880;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\frac{x}{x + y} - \frac{y}{x + y}\]

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{x + y}\]
  2. Using strategy rm

  3. Applied div-sub0.0

    \[\leadsto \color{blue}{\frac{x}{x + y} - \frac{y}{x + y}}\]

  4. Final simplification0.0

    \[\leadsto \frac{x}{x + y} - \frac{y}{x + y}\]

Reproduce

herbie shell --seed 2019200 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, D"

  :herbie-target
  (- (/ x (+ x y)) (/ y (+ x y)))

  (/ (- x y) (+ x y)))