Average Error: 0.0 → 0.0
Time: 4.6s
Precision: 64
\[x + \frac{y}{500}\]
↓
\[x + \frac{y}{500}\]
x + \frac{y}{500}
↓
x + \frac{y}{500}
double f(double x, double y) {
        double r131785 = x;
        double r131786 = y;
        double r131787 = 500.0;
        double r131788 = r131786 / r131787;
        double r131789 = r131785 + r131788;
        return r131789;
}
↓
double f(double x, double y) {
        double r131790 = x;
        double r131791 = y;
        double r131792 = 500.0;
        double r131793 = r131791 / r131792;
        double r131794 = r131790 + r131793;
        return r131794;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x + \frac{y}{500}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\frac{y}{500} + x}\]

  3. Final simplification0.0

    \[\leadsto x + \frac{y}{500}\]

Reproduce

herbie shell --seed 2019194 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, C"
  (+ x (/ y 500.0)))