Average Error: 0.1 → 0.1
Time: 2.6s
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 r240740 = 841.0;
        double r240741 = 108.0;
        double r240742 = r240740 / r240741;
        double r240743 = x;
        double r240744 = r240742 * r240743;
        double r240745 = 4.0;
        double r240746 = 29.0;
        double r240747 = r240745 / r240746;
        double r240748 = r240744 + r240747;
        return r240748;
}
↓
double f(double x) {
        double r240749 = 841.0;
        double r240750 = 108.0;
        double r240751 = r240749 / r240750;
        double r240752 = x;
        double r240753 = r240751 * r240752;
        double r240754 = 4.0;
        double r240755 = 29.0;
        double r240756 = r240754 / r240755;
        double r240757 = r240753 + r240756;
        return r240757;
}

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 2020025 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))