Average Error: 0.0 → 0.0
Time: 260.0ms
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r193963 = x;
        double r193964 = 1.0;
        double r193965 = 3.0;
        double r193966 = r193964 / r193965;
        double r193967 = r193963 + r193966;
        return r193967;
}
↓
double f(double x) {
        double r193968 = x;
        double r193969 = 1.0;
        double r193970 = 3.0;
        double r193971 = r193969 / r193970;
        double r193972 = r193968 + r193971;
        return r193972;
}

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 2020046 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  :precision binary64
  (+ x (/ 1 3)))