Average Error: 0.0 → 0.0
Time: 3.7s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r144830 = x;
        double r144831 = 1.0;
        double r144832 = 3.0;
        double r144833 = r144831 / r144832;
        double r144834 = r144830 + r144833;
        return r144834;
}
↓
double f(double x) {
        double r144835 = x;
        double r144836 = 1.0;
        double r144837 = 3.0;
        double r144838 = r144836 / r144837;
        double r144839 = r144835 + r144838;
        return r144839;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019305 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  :precision binary64
  (+ x (/ 1 3)))