Average Error: 0.0 → 0.0
Time: 2.7s
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 r729475 = x;
        double r729476 = y;
        double r729477 = r729475 - r729476;
        double r729478 = r729475 + r729476;
        double r729479 = r729477 / r729478;
        return r729479;
}
↓
double f(double x, double y) {
        double r729480 = x;
        double r729481 = y;
        double r729482 = r729480 - r729481;
        double r729483 = r729480 + r729481;
        double r729484 = r729482 / r729483;
        double r729485 = exp(r729484);
        double r729486 = log(r729485);
        return r729486;
}

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 2020062 +o rules:numerics
(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)))