Average Error: 0.0 → 0.0
Time: 28.9s
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 r193868802 = x;
        double r193868803 = y;
        double r193868804 = r193868802 - r193868803;
        double r193868805 = r193868802 + r193868803;
        double r193868806 = r193868804 / r193868805;
        return r193868806;
}
↓
double f(double x, double y) {
        double r193868807 = x;
        double r193868808 = y;
        double r193868809 = r193868807 + r193868808;
        double r193868810 = r193868807 / r193868809;
        double r193868811 = 1.0;
        double r193868812 = r193868809 / r193868808;
        double r193868813 = r193868811 / r193868812;
        double r193868814 = r193868810 - r193868813;
        return r193868814;
}

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. 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 2019173 +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)))