Average Error: 0.1 → 0.1
Time: 1.6s
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 r230688 = 841.0;
        double r230689 = 108.0;
        double r230690 = r230688 / r230689;
        double r230691 = x;
        double r230692 = r230690 * r230691;
        double r230693 = 4.0;
        double r230694 = 29.0;
        double r230695 = r230693 / r230694;
        double r230696 = r230692 + r230695;
        return r230696;
}
↓
double f(double x) {
        double r230697 = 841.0;
        double r230698 = 108.0;
        double r230699 = r230697 / r230698;
        double r230700 = x;
        double r230701 = r230699 * r230700;
        double r230702 = 4.0;
        double r230703 = 29.0;
        double r230704 = r230702 / r230703;
        double r230705 = r230701 + r230704;
        return r230705;
}

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 2020064 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))