Average Error: 0.0 → 0.0
Time: 1.2s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r260423 = x;
        double r260424 = 1.0;
        double r260425 = 3.0;
        double r260426 = r260424 / r260425;
        double r260427 = r260423 + r260426;
        return r260427;
}
↓
double f(double x) {
        double r260428 = x;
        double r260429 = 1.0;
        double r260430 = 3.0;
        double r260431 = r260429 / r260430;
        double r260432 = r260428 + r260431;
        return r260432;
}

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 2020083 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  :precision binary64
  (+ x (/ 1 3)))