Average Error: 0.0 → 0.0
Time: 6.1s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r51174 = x;
        double r51175 = 1.0;
        double r51176 = 3.0;
        double r51177 = r51175 / r51176;
        double r51178 = r51174 + r51177;
        return r51178;
}
↓
double f(double x) {
        double r51179 = x;
        double r51180 = 1.0;
        double r51181 = 3.0;
        double r51182 = r51180 / r51181;
        double r51183 = r51179 + r51182;
        return r51183;
}

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 2020045 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  :precision binary64
  (+ x (/ 1 3)))