Average Error: 0.0 → 0.0
Time: 3.7s
Precision: 64
\[x - \frac{1}{3}\]
↓
\[x - \frac{1}{3}\]
x - \frac{1}{3}
↓
x - \frac{1}{3}
double f(double x) {
        double r190412 = x;
        double r190413 = 1.0;
        double r190414 = 3.0;
        double r190415 = r190413 / r190414;
        double r190416 = r190412 - r190415;
        return r190416;
}
↓
double f(double x) {
        double r190417 = x;
        double r190418 = 1.0;
        double r190419 = 3.0;
        double r190420 = r190418 / r190419;
        double r190421 = r190417 - r190420;
        return r190421;
}

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 2019325 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G"
  :precision binary64
  (- x (/ 1 3)))