Average Error: 0.0 → 0.0
Time: 347.0ms
Precision: 64
\[x - \frac{1}{3}\]
↓
\[x - \frac{1}{3}\]
x - \frac{1}{3}
↓
x - \frac{1}{3}
double f(double x) {
        double r208103 = x;
        double r208104 = 1.0;
        double r208105 = 3.0;
        double r208106 = r208104 / r208105;
        double r208107 = r208103 - r208106;
        return r208107;
}
↓
double f(double x) {
        double r208108 = x;
        double r208109 = 1.0;
        double r208110 = 3.0;
        double r208111 = r208109 / r208110;
        double r208112 = r208108 - r208111;
        return r208112;
}

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 2020033 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G"
  :precision binary64
  (- x (/ 1 3)))