Average Error: 0.0 → 0.0
Time: 622.0ms
Precision: 64
\[x + \frac{1}{3}\]
↓
\[\frac{1}{3} + x\]
x + \frac{1}{3}
↓
\frac{1}{3} + x
double f(double x) {
        double r7641237 = x;
        double r7641238 = 1.0;
        double r7641239 = 3.0;
        double r7641240 = r7641238 / r7641239;
        double r7641241 = r7641237 + r7641240;
        return r7641241;
}
↓
double f(double x) {
        double r7641242 = 1.0;
        double r7641243 = 3.0;
        double r7641244 = r7641242 / r7641243;
        double r7641245 = x;
        double r7641246 = r7641244 + r7641245;
        return r7641246;
}

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)))