Average Error: 0.0 → 0.0
Time: 19.8s
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 r299770 = x;
        double r299771 = y;
        double r299772 = r299770 + r299771;
        double r299773 = r299770 - r299771;
        double r299774 = r299772 / r299773;
        return r299774;
}
↓
double f(double x, double y) {
        double r299775 = 1.0;
        double r299776 = x;
        double r299777 = y;
        double r299778 = r299776 - r299777;
        double r299779 = r299776 + r299777;
        double r299780 = r299778 / r299779;
        double r299781 = r299775 / r299780;
        return r299781;
}

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 2019199 +o rules:numerics
(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)))