Average Error: 0.0 → 0.0
Time: 4.4s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r168798 = x;
        double r168799 = 1.0;
        double r168800 = 3.0;
        double r168801 = r168799 / r168800;
        double r168802 = r168798 + r168801;
        return r168802;
}
↓
double f(double x) {
        double r168803 = x;
        double r168804 = 1.0;
        double r168805 = 3.0;
        double r168806 = r168804 / r168805;
        double r168807 = r168803 + r168806;
        return r168807;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x + \frac{1}{3}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\frac{1}{3} + x}\]

  3. Final simplification0.0

    \[\leadsto x + \frac{1}{3}\]

Reproduce

herbie shell --seed 2019196 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))