Average Error: 0.1 → 0.1
Time: 18.5s
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 r217614 = 841.0;
        double r217615 = 108.0;
        double r217616 = r217614 / r217615;
        double r217617 = x;
        double r217618 = r217616 * r217617;
        double r217619 = 4.0;
        double r217620 = 29.0;
        double r217621 = r217619 / r217620;
        double r217622 = r217618 + r217621;
        return r217622;
}
↓
double f(double x) {
        double r217623 = 841.0;
        double r217624 = 108.0;
        double r217625 = r217623 / r217624;
        double r217626 = x;
        double r217627 = r217625 * r217626;
        double r217628 = 4.0;
        double r217629 = 29.0;
        double r217630 = r217628 / r217629;
        double r217631 = r217627 + r217630;
        return r217631;
}

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 2019306 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))