Average Error: 0.0 → 0.0
Time: 45.5s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[\frac{1}{3} + x\]
x + \frac{1}{3}
↓
\frac{1}{3} + x
double f(double x) {
        double r4468309 = x;
        double r4468310 = 1.0;
        double r4468311 = 3.0;
        double r4468312 = r4468310 / r4468311;
        double r4468313 = r4468309 + r4468312;
        return r4468313;
}
↓
double f(double x) {
        double r4468314 = 1.0;
        double r4468315 = 3.0;
        double r4468316 = r4468314 / r4468315;
        double r4468317 = x;
        double r4468318 = r4468316 + r4468317;
        return r4468318;
}

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 2019200 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))