Average Error: 0.0 → 0.0
Time: 1.4s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r340098 = x;
        double r340099 = 1.0;
        double r340100 = 3.0;
        double r340101 = r340099 / r340100;
        double r340102 = r340098 + r340101;
        return r340102;
}
↓
double f(double x) {
        double r340103 = x;
        double r340104 = 1.0;
        double r340105 = 3.0;
        double r340106 = r340104 / r340105;
        double r340107 = r340103 + r340106;
        return r340107;
}

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 2020100 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  :precision binary64
  (+ x (/ 1 3)))