Average Error: 0.0 → 0.0
Time: 8.8s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[\frac{1}{3} + x\]
x + \frac{1}{3}
↓
\frac{1}{3} + x
double f(double x) {
        double r9072633 = x;
        double r9072634 = 1.0;
        double r9072635 = 3.0;
        double r9072636 = r9072634 / r9072635;
        double r9072637 = r9072633 + r9072636;
        return r9072637;
}
↓
double f(double x) {
        double r9072638 = 1.0;
        double r9072639 = 3.0;
        double r9072640 = r9072638 / r9072639;
        double r9072641 = x;
        double r9072642 = r9072640 + r9072641;
        return r9072642;
}

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 2019192 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))