Average Error: 0.0 → 0.0
Time: 5.3s
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 r1453309 = x;
        double r1453310 = y;
        double r1453311 = r1453309 - r1453310;
        double r1453312 = r1453309 + r1453310;
        double r1453313 = r1453311 / r1453312;
        return r1453313;
}
↓
double f(double x, double y) {
        double r1453314 = x;
        double r1453315 = y;
        double r1453316 = r1453314 + r1453315;
        double r1453317 = r1453314 / r1453316;
        double r1453318 = r1453315 / r1453316;
        double r1453319 = r1453317 - r1453318;
        return r1453319;
}

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 2020047 
(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)))