Average Error: 0.0 → 0.0
Time: 6.7s
Precision: 64
\[\frac{x - y}{x + y}\]
↓
\[\frac{x - y}{x + y}\]
\frac{x - y}{x + y}
↓
\frac{x - y}{x + y}
double f(double x, double y) {
        double r807452 = x;
        double r807453 = y;
        double r807454 = r807452 - r807453;
        double r807455 = r807452 + r807453;
        double r807456 = r807454 / r807455;
        return r807456;
}
↓
double f(double x, double y) {
        double r807457 = x;
        double r807458 = y;
        double r807459 = r807457 - r807458;
        double r807460 = r807457 + r807458;
        double r807461 = r807459 / r807460;
        return r807461;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020047 +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)))