Average Error: 0.0 → 0.0
Time: 9.7s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r156458 = x;
        double r156459 = 1.0;
        double r156460 = 3.0;
        double r156461 = r156459 / r156460;
        double r156462 = r156458 + r156461;
        return r156462;
}
↓
double f(double x) {
        double r156463 = x;
        double r156464 = 1.0;
        double r156465 = 3.0;
        double r156466 = r156464 / r156465;
        double r156467 = r156463 + r156466;
        return r156467;
}

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 2019323 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  :precision binary64
  (+ x (/ 1 3)))