Average Error: 0.1 → 0.1
Time: 1.3s
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 r252608 = 841.0;
        double r252609 = 108.0;
        double r252610 = r252608 / r252609;
        double r252611 = x;
        double r252612 = r252610 * r252611;
        double r252613 = 4.0;
        double r252614 = 29.0;
        double r252615 = r252613 / r252614;
        double r252616 = r252612 + r252615;
        return r252616;
}
↓
double f(double x) {
        double r252617 = 841.0;
        double r252618 = 108.0;
        double r252619 = r252617 / r252618;
        double r252620 = x;
        double r252621 = r252619 * r252620;
        double r252622 = 4.0;
        double r252623 = 29.0;
        double r252624 = r252622 / r252623;
        double r252625 = r252621 + r252624;
        return r252625;
}

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 2019356 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))