Average Error: 0.0 → 0.0
Time: 7.1s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[\frac{1}{3} + x\]
x + \frac{1}{3}
↓
\frac{1}{3} + x
double f(double x) {
        double r12541885 = x;
        double r12541886 = 1.0;
        double r12541887 = 3.0;
        double r12541888 = r12541886 / r12541887;
        double r12541889 = r12541885 + r12541888;
        return r12541889;
}
↓
double f(double x) {
        double r12541890 = 1.0;
        double r12541891 = 3.0;
        double r12541892 = r12541890 / r12541891;
        double r12541893 = x;
        double r12541894 = r12541892 + r12541893;
        return r12541894;
}

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 2019170 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))