Average Error: 0.1 → 0.1
Time: 12.3s
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 r120822 = 841.0;
        double r120823 = 108.0;
        double r120824 = r120822 / r120823;
        double r120825 = x;
        double r120826 = r120824 * r120825;
        double r120827 = 4.0;
        double r120828 = 29.0;
        double r120829 = r120827 / r120828;
        double r120830 = r120826 + r120829;
        return r120830;
}
↓
double f(double x) {
        double r120831 = 841.0;
        double r120832 = 108.0;
        double r120833 = r120831 / r120832;
        double r120834 = x;
        double r120835 = r120833 * r120834;
        double r120836 = 4.0;
        double r120837 = 29.0;
        double r120838 = r120836 / r120837;
        double r120839 = r120835 + r120838;
        return r120839;
}

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 2019326 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))