Average Error: 0.0 → 0.0
Time: 36.9s
Precision: 64
\[\frac{x + y}{x - y}\]
↓
\[\frac{1}{\frac{x}{x + y} - \frac{y}{x + y}}\]
\frac{x + y}{x - y}
↓
\frac{1}{\frac{x}{x + y} - \frac{y}{x + y}}
double f(double x, double y) {
        double r22291179 = x;
        double r22291180 = y;
        double r22291181 = r22291179 + r22291180;
        double r22291182 = r22291179 - r22291180;
        double r22291183 = r22291181 / r22291182;
        return r22291183;
}
↓
double f(double x, double y) {
        double r22291184 = 1.0;
        double r22291185 = x;
        double r22291186 = y;
        double r22291187 = r22291185 + r22291186;
        double r22291188 = r22291185 / r22291187;
        double r22291189 = r22291186 / r22291187;
        double r22291190 = r22291188 - r22291189;
        double r22291191 = r22291184 / r22291190;
        return r22291191;
}

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
\[\frac{1.0}{\frac{x}{x + y} - \frac{y}{x + y}}\]

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. Using strategy rm

  5. Applied div-sub0.0

    \[\leadsto \frac{1}{\color{blue}{\frac{x}{x + y} - \frac{y}{x + y}}}\]

  6. Final simplification0.0

    \[\leadsto \frac{1}{\frac{x}{x + y} - \frac{y}{x + y}}\]

Reproduce

herbie shell --seed 2019165 
(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)))