Average Error: 0.0 → 0.0
Time: 8.6s
Precision: 64
\[\frac{x - y}{x + y}\]
↓
\[\frac{x}{y + x} - \frac{y}{y + x}\]
\frac{x - y}{x + y}
↓
\frac{x}{y + x} - \frac{y}{y + x}
double f(double x, double y) {
        double r35558942 = x;
        double r35558943 = y;
        double r35558944 = r35558942 - r35558943;
        double r35558945 = r35558942 + r35558943;
        double r35558946 = r35558944 / r35558945;
        return r35558946;
}
↓
double f(double x, double y) {
        double r35558947 = x;
        double r35558948 = y;
        double r35558949 = r35558948 + r35558947;
        double r35558950 = r35558947 / r35558949;
        double r35558951 = r35558948 / r35558949;
        double r35558952 = r35558950 - r35558951;
        return r35558952;
}

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

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

Reproduce

herbie shell --seed 2019179 +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)))