Average Error: 0.0 → 0.0
Time: 3.9s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r193763 = x;
        double r193764 = 1.0;
        double r193765 = 3.0;
        double r193766 = r193764 / r193765;
        double r193767 = r193763 + r193766;
        return r193767;
}
↓
double f(double x) {
        double r193768 = x;
        double r193769 = 1.0;
        double r193770 = 3.0;
        double r193771 = r193769 / r193770;
        double r193772 = r193768 + r193771;
        return r193772;
}

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 2019194 
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))