Average Error: 0.1 → 0.1
Time: 3.5s
Precision: 64
\[\frac{841}{108} \cdot x + \frac{4}{29}\]
↓
\[\frac{841}{108} \cdot x + \frac{4}{29}\]
\frac{841}{108} \cdot x + \frac{4}{29}
↓
\frac{841}{108} \cdot x + \frac{4}{29}
double f(double x) {
        double r271870 = 841.0;
        double r271871 = 108.0;
        double r271872 = r271870 / r271871;
        double r271873 = x;
        double r271874 = r271872 * r271873;
        double r271875 = 4.0;
        double r271876 = 29.0;
        double r271877 = r271875 / r271876;
        double r271878 = r271874 + r271877;
        return r271878;
}
↓
double f(double x) {
        double r271879 = 841.0;
        double r271880 = 108.0;
        double r271881 = r271879 / r271880;
        double r271882 = x;
        double r271883 = r271881 * r271882;
        double r271884 = 4.0;
        double r271885 = 29.0;
        double r271886 = r271884 / r271885;
        double r271887 = r271883 + r271886;
        return r271887;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\frac{841}{108} \cdot x + \frac{4}{29}\]

  2. Final simplification0.1

    \[\leadsto \frac{841}{108} \cdot x + \frac{4}{29}\]

Reproduce

herbie shell --seed 2020060 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))