Average Error: 0.0 → 0.0
Time: 11.3s
Precision: 64
\[\frac{x - y}{x + y}\]
↓
\[\frac{x - y}{x + y}\]
\frac{x - y}{x + y}
↓
\frac{x - y}{x + y}
double f(double x, double y) {
        double r531854 = x;
        double r531855 = y;
        double r531856 = r531854 - r531855;
        double r531857 = r531854 + r531855;
        double r531858 = r531856 / r531857;
        return r531858;
}
↓
double f(double x, double y) {
        double r531859 = x;
        double r531860 = y;
        double r531861 = r531859 - r531860;
        double r531862 = r531859 + r531860;
        double r531863 = r531861 / r531862;
        return r531863;
}

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 *-un-lft-identity0.0

    \[\leadsto \frac{x - y}{\color{blue}{1 \cdot \left(x + y\right)}}\]

  4. Applied *-un-lft-identity0.0

    \[\leadsto \frac{\color{blue}{1 \cdot \left(x - y\right)}}{1 \cdot \left(x + y\right)}\]

  5. Applied times-frac0.0

    \[\leadsto \color{blue}{\frac{1}{1} \cdot \frac{x - y}{x + y}}\]

  6. Simplified0.0

    \[\leadsto \color{blue}{1} \cdot \frac{x - y}{x + y}\]

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019326 
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, D"
  :precision binary64

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

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