Average Error: 0.0 → 0.0
Time: 13.4s
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 r221367 = x;
        double r221368 = y;
        double r221369 = r221367 + r221368;
        double r221370 = r221367 - r221368;
        double r221371 = r221369 / r221370;
        return r221371;
}
↓
double f(double x, double y) {
        double r221372 = 1.0;
        double r221373 = x;
        double r221374 = y;
        double r221375 = r221373 - r221374;
        double r221376 = r221373 + r221374;
        double r221377 = r221375 / r221376;
        double r221378 = r221372 / r221377;
        return r221378;
}

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 2020042 +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)))