Average Error: 0.1 → 0.1
Time: 1.5s
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 r241809 = 841.0;
        double r241810 = 108.0;
        double r241811 = r241809 / r241810;
        double r241812 = x;
        double r241813 = r241811 * r241812;
        double r241814 = 4.0;
        double r241815 = 29.0;
        double r241816 = r241814 / r241815;
        double r241817 = r241813 + r241816;
        return r241817;
}
↓
double f(double x) {
        double r241818 = 841.0;
        double r241819 = 108.0;
        double r241820 = r241818 / r241819;
        double r241821 = x;
        double r241822 = r241820 * r241821;
        double r241823 = 4.0;
        double r241824 = 29.0;
        double r241825 = r241823 / r241824;
        double r241826 = r241822 + r241825;
        return r241826;
}

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 2020035 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))