Average Error: 0.1 → 0.1
Time: 1.4s
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 r276510 = 841.0;
        double r276511 = 108.0;
        double r276512 = r276510 / r276511;
        double r276513 = x;
        double r276514 = r276512 * r276513;
        double r276515 = 4.0;
        double r276516 = 29.0;
        double r276517 = r276515 / r276516;
        double r276518 = r276514 + r276517;
        return r276518;
}
↓
double f(double x) {
        double r276519 = 841.0;
        double r276520 = 108.0;
        double r276521 = r276519 / r276520;
        double r276522 = x;
        double r276523 = r276521 * r276522;
        double r276524 = 4.0;
        double r276525 = 29.0;
        double r276526 = r276524 / r276525;
        double r276527 = r276523 + r276526;
        return r276527;
}

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 2019356 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))