Average Error: 0.0 → 0.0
Time: 4.5s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r174786 = x;
        double r174787 = 1.0;
        double r174788 = 3.0;
        double r174789 = r174787 / r174788;
        double r174790 = r174786 + r174789;
        return r174790;
}
↓
double f(double x) {
        double r174791 = x;
        double r174792 = 1.0;
        double r174793 = 3.0;
        double r174794 = r174792 / r174793;
        double r174795 = r174791 + r174794;
        return r174795;
}

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 2019174 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))