Average Error: 0.0 → 0.0
Time: 4.2s
Precision: 64
\[\frac{x + y}{x - y}\]
↓
\[\frac{x + y}{x - y}\]
\frac{x + y}{x - y}
↓
\frac{x + y}{x - y}
double f(double x, double y) {
        double r364693 = x;
        double r364694 = y;
        double r364695 = r364693 + r364694;
        double r364696 = r364693 - r364694;
        double r364697 = r364695 / r364696;
        return r364697;
}
↓
double f(double x, double y) {
        double r364698 = x;
        double r364699 = y;
        double r364700 = r364698 + r364699;
        double r364701 = r364698 - r364699;
        double r364702 = r364700 / r364701;
        return r364702;
}

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 add-log-exp0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 1978988140 
(FPCore (x y)
  :name "Linear.Projection:perspective from linear-1.19.1.3, A"
  :precision binary64

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

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