Average Error: 0.0 → 0.0
Time: 11.7s
Precision: 64
\[x + \frac{1.0}{3.0}\]
↓
\[\frac{1.0}{3.0} + x\]
x + \frac{1.0}{3.0}
↓
\frac{1.0}{3.0} + x
double f(double x) {
        double r11917910 = x;
        double r11917911 = 1.0;
        double r11917912 = 3.0;
        double r11917913 = r11917911 / r11917912;
        double r11917914 = r11917910 + r11917913;
        return r11917914;
}
↓
double f(double x) {
        double r11917915 = 1.0;
        double r11917916 = 3.0;
        double r11917917 = r11917915 / r11917916;
        double r11917918 = x;
        double r11917919 = r11917917 + r11917918;
        return r11917919;
}

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

    \[x + \frac{1.0}{3.0}\]

  2. Final simplification0.0

    \[\leadsto \frac{1.0}{3.0} + x\]

Reproduce

herbie shell --seed 2019162 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))