Average Error: 0.1 → 0.1
Time: 2.3s
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 r274722 = 841.0;
        double r274723 = 108.0;
        double r274724 = r274722 / r274723;
        double r274725 = x;
        double r274726 = r274724 * r274725;
        double r274727 = 4.0;
        double r274728 = 29.0;
        double r274729 = r274727 / r274728;
        double r274730 = r274726 + r274729;
        return r274730;
}
↓
double f(double x) {
        double r274731 = 841.0;
        double r274732 = 108.0;
        double r274733 = r274731 / r274732;
        double r274734 = x;
        double r274735 = r274733 * r274734;
        double r274736 = 4.0;
        double r274737 = 29.0;
        double r274738 = r274736 / r274737;
        double r274739 = r274735 + r274738;
        return r274739;
}

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 2020001 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))