Average Error: 0.0 → 0.0
Time: 544.0ms
Precision: 64
\[x + \frac{1}{3}\]
↓
\[\frac{1}{3} + x\]
x + \frac{1}{3}
↓
\frac{1}{3} + x
double f(double x) {
        double r9577253 = x;
        double r9577254 = 1.0;
        double r9577255 = 3.0;
        double r9577256 = r9577254 / r9577255;
        double r9577257 = r9577253 + r9577256;
        return r9577257;
}
↓
double f(double x) {
        double r9577258 = 1.0;
        double r9577259 = 3.0;
        double r9577260 = r9577258 / r9577259;
        double r9577261 = x;
        double r9577262 = r9577260 + r9577261;
        return r9577262;
}

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 2019172 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))