Average Error: 0.0 → 0.0
Time: 622.0ms
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r220938 = x;
        double r220939 = 1.0;
        double r220940 = 3.0;
        double r220941 = r220939 / r220940;
        double r220942 = r220938 + r220941;
        return r220942;
}
↓
double f(double x) {
        double r220943 = x;
        double r220944 = 1.0;
        double r220945 = 3.0;
        double r220946 = r220944 / r220945;
        double r220947 = r220943 + r220946;
        return r220947;
}

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 2020025 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  :precision binary64
  (+ x (/ 1 3)))