Average Error: 0.0 → 0.0
Time: 765.0ms
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r213061 = x;
        double r213062 = 1.0;
        double r213063 = 3.0;
        double r213064 = r213062 / r213063;
        double r213065 = r213061 + r213064;
        return r213065;
}
↓
double f(double x) {
        double r213066 = x;
        double r213067 = 1.0;
        double r213068 = 3.0;
        double r213069 = r213067 / r213068;
        double r213070 = r213066 + r213069;
        return r213070;
}

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 2019179 
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))