Average Error: 0.0 → 0.0
Time: 950.0ms
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 r187111 = x;
        double r187112 = y;
        double r187113 = 500.0;
        double r187114 = r187112 / r187113;
        double r187115 = r187111 + r187114;
        return r187115;
}
↓
double f(double x, double y) {
        double r187116 = x;
        double r187117 = y;
        double r187118 = 500.0;
        double r187119 = r187117 / r187118;
        double r187120 = r187116 + r187119;
        return r187120;
}

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 2019196 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLAB from colour-2.3.3, C"
  (+ x (/ y 500.0)))