Average Error: 0.0 → 0.0
Time: 3.0s
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 r1004073 = x;
        double r1004074 = y;
        double r1004075 = r1004073 - r1004074;
        double r1004076 = r1004073 + r1004074;
        double r1004077 = r1004075 / r1004076;
        return r1004077;
}
↓
double f(double x, double y) {
        double r1004078 = x;
        double r1004079 = y;
        double r1004080 = r1004078 - r1004079;
        double r1004081 = r1004078 + r1004079;
        double r1004082 = r1004080 / r1004081;
        double r1004083 = exp(r1004082);
        double r1004084 = log(r1004083);
        return r1004084;
}

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 2020060 
(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)))