Average Error: 0.0 → 0.0
Time: 484.0ms
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r133374 = x;
        double r133375 = 1.0;
        double r133376 = 3.0;
        double r133377 = r133375 / r133376;
        double r133378 = r133374 + r133377;
        return r133378;
}
↓
double f(double x) {
        double r133379 = x;
        double r133380 = 1.0;
        double r133381 = 3.0;
        double r133382 = r133380 / r133381;
        double r133383 = r133379 + r133382;
        return r133383;
}

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 2019325 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  :precision binary64
  (+ x (/ 1 3)))