Average Error: 0.0 → 0.0
Time: 13.7s
Precision: 64
\[\frac{x + y}{x - y}\]
↓
\[\frac{\frac{1}{x - y}}{\frac{1}{x + y}}\]
\frac{x + y}{x - y}
↓
\frac{\frac{1}{x - y}}{\frac{1}{x + y}}
double f(double x, double y) {
        double r36312137 = x;
        double r36312138 = y;
        double r36312139 = r36312137 + r36312138;
        double r36312140 = r36312137 - r36312138;
        double r36312141 = r36312139 / r36312140;
        return r36312141;
}
↓
double f(double x, double y) {
        double r36312142 = 1.0;
        double r36312143 = x;
        double r36312144 = y;
        double r36312145 = r36312143 - r36312144;
        double r36312146 = r36312142 / r36312145;
        double r36312147 = r36312143 + r36312144;
        double r36312148 = r36312142 / r36312147;
        double r36312149 = r36312146 / r36312148;
        return r36312149;
}

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

Derivation

  1. Initial program 0.0

    \[\frac{x + y}{x - y}\]
  2. Using strategy rm

  3. Applied clear-num0.0

    \[\leadsto \color{blue}{\frac{1}{\frac{x - y}{x + y}}}\]
  4. Using strategy rm

  5. Applied div-inv0.2

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

  6. Applied associate-/r*0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y)
  :name "Linear.Projection:perspective from linear-1.19.1.3, A"

  :herbie-target
  (/ 1.0 (- (/ x (+ x y)) (/ y (+ x y))))

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