Average Error: 0.0 → 0.0
Time: 1.9s
Precision: 64
\[\frac{x - y}{x + y}\]
↓
\[\log \left(e^{\frac{x - y}{x + y}}\right)\]
\frac{x - y}{x + y}
↓
\log \left(e^{\frac{x - y}{x + y}}\right)
double f(double x, double y) {
        double r893891 = x;
        double r893892 = y;
        double r893893 = r893891 - r893892;
        double r893894 = r893891 + r893892;
        double r893895 = r893893 / r893894;
        return r893895;
}
↓
double f(double x, double y) {
        double r893896 = x;
        double r893897 = y;
        double r893898 = r893896 - r893897;
        double r893899 = r893896 + r893897;
        double r893900 = r893898 / r893899;
        double r893901 = exp(r893900);
        double r893902 = log(r893901);
        return r893902;
}

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

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{x + y}\]
  2. Using strategy rm

  3. Applied add-log-exp0.0

    \[\leadsto \color{blue}{\log \left(e^{\frac{x - y}{x + y}}\right)}\]

  4. Final simplification0.0

    \[\leadsto \log \left(e^{\frac{x - y}{x + y}}\right)\]

Reproduce

herbie shell --seed 2020027 
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, D"
  :precision binary64

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

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