Average Error: 0.0 → 0.0
Time: 3.5s
Precision: 64
\[x - \frac{1}{3}\]
↓
\[x - \frac{1}{3}\]
x - \frac{1}{3}
↓
x - \frac{1}{3}
double f(double x) {
        double r278525 = x;
        double r278526 = 1.0;
        double r278527 = 3.0;
        double r278528 = r278526 / r278527;
        double r278529 = r278525 - r278528;
        return r278529;
}
↓
double f(double x) {
        double r278530 = x;
        double r278531 = 1.0;
        double r278532 = 3.0;
        double r278533 = r278531 / r278532;
        double r278534 = r278530 - r278533;
        return r278534;
}

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 2020047 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G"
  :precision binary64
  (- x (/ 1 3)))