Average Error: 0.0 → 0.0
Time: 2.9s
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 r529917 = x;
        double r529918 = y;
        double r529919 = r529917 + r529918;
        double r529920 = r529917 - r529918;
        double r529921 = r529919 / r529920;
        return r529921;
}
↓
double f(double x, double y) {
        double r529922 = 1.0;
        double r529923 = x;
        double r529924 = y;
        double r529925 = r529923 - r529924;
        double r529926 = r529923 + r529924;
        double r529927 = r529925 / r529926;
        double r529928 = r529922 / r529927;
        return r529928;
}

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 2020062 +o rules:numerics
(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)))