Average Error: 0.0 → 0.0
Time: 5.7s
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 r3613177 = x;
        double r3613178 = 1.0;
        double r3613179 = 3.0;
        double r3613180 = r3613178 / r3613179;
        double r3613181 = r3613177 + r3613180;
        return r3613181;
}
↓
double f(double x) {
        double r3613182 = 1.0;
        double r3613183 = 3.0;
        double r3613184 = r3613182 / r3613183;
        double r3613185 = x;
        double r3613186 = r3613184 + r3613185;
        return r3613186;
}

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 2019156 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))