Average Error: 0.1 → 0.1
Time: 9.0s
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 r294612 = 841.0;
        double r294613 = 108.0;
        double r294614 = r294612 / r294613;
        double r294615 = x;
        double r294616 = r294614 * r294615;
        double r294617 = 4.0;
        double r294618 = 29.0;
        double r294619 = r294617 / r294618;
        double r294620 = r294616 + r294619;
        return r294620;
}
↓
double f(double x) {
        double r294621 = 841.0;
        double r294622 = 108.0;
        double r294623 = r294621 / r294622;
        double r294624 = x;
        double r294625 = r294623 * r294624;
        double r294626 = 4.0;
        double r294627 = 29.0;
        double r294628 = r294626 / r294627;
        double r294629 = r294625 + r294628;
        return r294629;
}

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 2020043 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))