Average Error: 0.0 → 0.0
Time: 7.8s
Precision: 64
\[x + \frac{1}{3}\]
↓
\[\frac{1}{3} + x\]
x + \frac{1}{3}
↓
\frac{1}{3} + x
double f(double x) {
        double r9579212 = x;
        double r9579213 = 1.0;
        double r9579214 = 3.0;
        double r9579215 = r9579213 / r9579214;
        double r9579216 = r9579212 + r9579215;
        return r9579216;
}
↓
double f(double x) {
        double r9579217 = 1.0;
        double r9579218 = 3.0;
        double r9579219 = r9579217 / r9579218;
        double r9579220 = x;
        double r9579221 = r9579219 + r9579220;
        return r9579221;
}

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 2019169 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F"
  (+ x (/ 1.0 3.0)))