Average Error: 0.0 → 0.0
Time: 836.0ms
Precision: 64
\[x + \frac{1}{3}\]
↓
\[\frac{1}{3} + x\]
x + \frac{1}{3}
↓
\frac{1}{3} + x
double f(double x) {
        double r10305036 = x;
        double r10305037 = 1.0;
        double r10305038 = 3.0;
        double r10305039 = r10305037 / r10305038;
        double r10305040 = r10305036 + r10305039;
        return r10305040;
}
↓
double f(double x) {
        double r10305041 = 1.0;
        double r10305042 = 3.0;
        double r10305043 = r10305041 / r10305042;
        double r10305044 = x;
        double r10305045 = r10305043 + r10305044;
        return r10305045;
}

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 2019179 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))