Average Error: 0.0 → 0.0
Time: 7.3s
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 r9135161 = x;
        double r9135162 = y;
        double r9135163 = r9135161 + r9135162;
        double r9135164 = r9135161 - r9135162;
        double r9135165 = r9135163 / r9135164;
        return r9135165;
}
↓
double f(double x, double y) {
        double r9135166 = 1.0;
        double r9135167 = x;
        double r9135168 = y;
        double r9135169 = r9135167 - r9135168;
        double r9135170 = r9135167 + r9135168;
        double r9135171 = r9135169 / r9135170;
        double r9135172 = r9135166 / r9135171;
        return r9135172;
}

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 2019156 
(FPCore (x y)
  :name "Linear.Projection:perspective from linear-1.19.1.3, A"

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

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