Average Error: 0.0 → 0.0
Time: 13.5s
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 r28126288 = x;
        double r28126289 = y;
        double r28126290 = r28126288 + r28126289;
        double r28126291 = r28126288 - r28126289;
        double r28126292 = r28126290 / r28126291;
        return r28126292;
}
↓
double f(double x, double y) {
        double r28126293 = 1.0;
        double r28126294 = x;
        double r28126295 = y;
        double r28126296 = r28126294 - r28126295;
        double r28126297 = r28126294 + r28126295;
        double r28126298 = r28126296 / r28126297;
        double r28126299 = r28126293 / r28126298;
        return r28126299;
}

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 2019169 
(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)))