Average Error: 0.0 → 0.0
Time: 6.7s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r135737 = x;
        double r135738 = 1.0;
        double r135739 = 3.0;
        double r135740 = r135738 / r135739;
        double r135741 = r135737 + r135740;
        return r135741;
}
↓
double f(double x) {
        double r135742 = x;
        double r135743 = 1.0;
        double r135744 = 3.0;
        double r135745 = r135743 / r135744;
        double r135746 = r135742 + r135745;
        return r135746;
}

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 2019322 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  :precision binary64
  (+ x (/ 1 3)))