Average Error: 0.1 → 0.1
Time: 3.9s
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 r384818 = 841.0;
        double r384819 = 108.0;
        double r384820 = r384818 / r384819;
        double r384821 = x;
        double r384822 = r384820 * r384821;
        double r384823 = 4.0;
        double r384824 = 29.0;
        double r384825 = r384823 / r384824;
        double r384826 = r384822 + r384825;
        return r384826;
}
↓
double f(double x) {
        double r384827 = 841.0;
        double r384828 = 108.0;
        double r384829 = r384827 / r384828;
        double r384830 = x;
        double r384831 = r384829 * r384830;
        double r384832 = 4.0;
        double r384833 = 29.0;
        double r384834 = r384832 / r384833;
        double r384835 = r384831 + r384834;
        return r384835;
}

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)))