Average Error: 0.0 → 0.0
Time: 10.6s
Precision: 64
\[\frac{x + y}{x - y}\]
↓
\[\frac{1}{\frac{x - y}{x + y}}\]
\frac{x + y}{x - y}
↓
\frac{1}{\frac{x - y}{x + y}}
double f(double x, double y) {
        double r26013835 = x;
        double r26013836 = y;
        double r26013837 = r26013835 + r26013836;
        double r26013838 = r26013835 - r26013836;
        double r26013839 = r26013837 / r26013838;
        return r26013839;
}
↓
double f(double x, double y) {
        double r26013840 = 1.0;
        double r26013841 = x;
        double r26013842 = y;
        double r26013843 = r26013841 - r26013842;
        double r26013844 = r26013841 + r26013842;
        double r26013845 = r26013843 / r26013844;
        double r26013846 = r26013840 / r26013845;
        return r26013846;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019168 
(FPCore (x y)
  :name "Linear.Projection:perspective from linear-1.19.1.3, A"

  :herbie-target
  (/ 1 (- (/ x (+ x y)) (/ y (+ x y))))

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