Average Error: 0.0 → 0.0
Time: 1.2s
Precision: 64
\[x - \frac{1}{3}\]
↓
\[x - \frac{1}{3}\]
x - \frac{1}{3}
↓
x - \frac{1}{3}
double f(double x) {
        double r187732 = x;
        double r187733 = 1.0;
        double r187734 = 3.0;
        double r187735 = r187733 / r187734;
        double r187736 = r187732 - r187735;
        return r187736;
}
↓
double f(double x) {
        double r187737 = x;
        double r187738 = 1.0;
        double r187739 = 3.0;
        double r187740 = r187738 / r187739;
        double r187741 = r187737 - r187740;
        return r187741;
}

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

    \[\leadsto x - \frac{1}{3}\]

Reproduce

herbie shell --seed 2020089 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G"
  :precision binary64
  (- x (/ 1 3)))