Average Error: 0.0 → 0.0
Time: 565.0ms
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r181181 = x;
        double r181182 = 1.0;
        double r181183 = 3.0;
        double r181184 = r181182 / r181183;
        double r181185 = r181181 + r181184;
        return r181185;
}
↓
double f(double x) {
        double r181186 = x;
        double r181187 = 1.0;
        double r181188 = 3.0;
        double r181189 = r181187 / r181188;
        double r181190 = r181186 + r181189;
        return r181190;
}

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 2019303 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  :precision binary64
  (+ x (/ 1 3)))