Average Error: 0.1 → 0.1
Time: 7.9s
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 r260356 = 841.0;
        double r260357 = 108.0;
        double r260358 = r260356 / r260357;
        double r260359 = x;
        double r260360 = r260358 * r260359;
        double r260361 = 4.0;
        double r260362 = 29.0;
        double r260363 = r260361 / r260362;
        double r260364 = r260360 + r260363;
        return r260364;
}
↓
double f(double x) {
        double r260365 = 841.0;
        double r260366 = 108.0;
        double r260367 = r260365 / r260366;
        double r260368 = x;
        double r260369 = r260367 * r260368;
        double r260370 = 4.0;
        double r260371 = 29.0;
        double r260372 = r260370 / r260371;
        double r260373 = r260369 + r260372;
        return r260373;
}

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. Simplified0.1

    \[\leadsto \color{blue}{\frac{4}{29} + \frac{841}{108} \cdot x}\]

  3. Final simplification0.1

    \[\leadsto \frac{841}{108} \cdot x + \frac{4}{29}\]

Reproduce

herbie shell --seed 2019194 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))