Average Error: 0.0 → 0.0
Time: 6.4s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[x + \frac{1}{3}\]
x + \frac{1}{3}
↓
x + \frac{1}{3}
double f(double x) {
        double r264178 = x;
        double r264179 = 1.0;
        double r264180 = 3.0;
        double r264181 = r264179 / r264180;
        double r264182 = r264178 + r264181;
        return r264182;
}
↓
double f(double x) {
        double r264183 = x;
        double r264184 = 1.0;
        double r264185 = 3.0;
        double r264186 = r264184 / r264185;
        double r264187 = r264183 + r264186;
        return r264187;
}

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)))