Average Error: 0.1 → 0.1
Time: 3.8s
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 r347601 = 841.0;
        double r347602 = 108.0;
        double r347603 = r347601 / r347602;
        double r347604 = x;
        double r347605 = r347603 * r347604;
        double r347606 = 4.0;
        double r347607 = 29.0;
        double r347608 = r347606 / r347607;
        double r347609 = r347605 + r347608;
        return r347609;
}
↓
double f(double x) {
        double r347610 = 841.0;
        double r347611 = 108.0;
        double r347612 = r347610 / r347611;
        double r347613 = x;
        double r347614 = r347612 * r347613;
        double r347615 = 4.0;
        double r347616 = 29.0;
        double r347617 = r347615 / r347616;
        double r347618 = r347614 + r347617;
        return r347618;
}

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 2020046 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))