Average Error: 0.1 → 0.1
Time: 1.5s
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 r370520 = 841.0;
        double r370521 = 108.0;
        double r370522 = r370520 / r370521;
        double r370523 = x;
        double r370524 = r370522 * r370523;
        double r370525 = 4.0;
        double r370526 = 29.0;
        double r370527 = r370525 / r370526;
        double r370528 = r370524 + r370527;
        return r370528;
}
↓
double f(double x) {
        double r370529 = 841.0;
        double r370530 = 108.0;
        double r370531 = r370529 / r370530;
        double r370532 = x;
        double r370533 = r370531 * r370532;
        double r370534 = 4.0;
        double r370535 = 29.0;
        double r370536 = r370534 / r370535;
        double r370537 = r370533 + r370536;
        return r370537;
}

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 2020035 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))