Average Error: 0.0 → 0.0
Time: 2.5s
Precision: 64
\[\frac{x - y}{x + y}\]
↓
\[\frac{x}{x + y} - \frac{1}{\frac{x + y}{y}}\]
\frac{x - y}{x + y}
↓
\frac{x}{x + y} - \frac{1}{\frac{x + y}{y}}
double f(double x, double y) {
        double r901258 = x;
        double r901259 = y;
        double r901260 = r901258 - r901259;
        double r901261 = r901258 + r901259;
        double r901262 = r901260 / r901261;
        return r901262;
}
↓
double f(double x, double y) {
        double r901263 = x;
        double r901264 = y;
        double r901265 = r901263 + r901264;
        double r901266 = r901263 / r901265;
        double r901267 = 1.0;
        double r901268 = r901265 / r901264;
        double r901269 = r901267 / r901268;
        double r901270 = r901266 - r901269;
        return r901270;
}

Error

Bits error versus x

Bits error versus y

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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. Using strategy rm

  5. Applied clear-num0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2020065 
(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)))