Average Error: 0.0 → 0.0
Time: 18.7s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[\frac{1}{3} + x\]
x + \frac{1}{3}
↓
\frac{1}{3} + x
double f(double x) {
        double r8179005 = x;
        double r8179006 = 1.0;
        double r8179007 = 3.0;
        double r8179008 = r8179006 / r8179007;
        double r8179009 = r8179005 + r8179008;
        return r8179009;
}
↓
double f(double x) {
        double r8179010 = 1.0;
        double r8179011 = 3.0;
        double r8179012 = r8179010 / r8179011;
        double r8179013 = x;
        double r8179014 = r8179012 + r8179013;
        return r8179014;
}

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

    \[\leadsto \frac{1}{3} + x\]

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))