Average Error: 0.0 → 0.0
Time: 1.6s
Precision: 64
\[x - \frac{1}{3}\]
↓
\[x - \frac{1}{3}\]
x - \frac{1}{3}
↓
x - \frac{1}{3}
double f(double x) {
        double r240902 = x;
        double r240903 = 1.0;
        double r240904 = 3.0;
        double r240905 = r240903 / r240904;
        double r240906 = r240902 - r240905;
        return r240906;
}
↓
double f(double x) {
        double r240907 = x;
        double r240908 = 1.0;
        double r240909 = 3.0;
        double r240910 = r240908 / r240909;
        double r240911 = r240907 - r240910;
        return r240911;
}

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 2020036 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G"
  :precision binary64
  (- x (/ 1 3)))