Average Error: 0.1 → 0.1
Time: 2.9s
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 r271732 = 841.0;
        double r271733 = 108.0;
        double r271734 = r271732 / r271733;
        double r271735 = x;
        double r271736 = r271734 * r271735;
        double r271737 = 4.0;
        double r271738 = 29.0;
        double r271739 = r271737 / r271738;
        double r271740 = r271736 + r271739;
        return r271740;
}
↓
double f(double x) {
        double r271741 = 841.0;
        double r271742 = 108.0;
        double r271743 = r271741 / r271742;
        double r271744 = x;
        double r271745 = r271743 * r271744;
        double r271746 = 4.0;
        double r271747 = 29.0;
        double r271748 = r271746 / r271747;
        double r271749 = r271745 + r271748;
        return r271749;
}

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 2019322 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))