Average Error: 0.1 → 0.1
Time: 6.4s
Precision: 64
\[\frac{841}{108} \cdot x + \frac{4}{29}\]
↓
\[\frac{4}{29} + \frac{841}{108} \cdot x\]
\frac{841}{108} \cdot x + \frac{4}{29}
↓
\frac{4}{29} + \frac{841}{108} \cdot x
double f(double x) {
        double r18569415 = 841.0;
        double r18569416 = 108.0;
        double r18569417 = r18569415 / r18569416;
        double r18569418 = x;
        double r18569419 = r18569417 * r18569418;
        double r18569420 = 4.0;
        double r18569421 = 29.0;
        double r18569422 = r18569420 / r18569421;
        double r18569423 = r18569419 + r18569422;
        return r18569423;
}
↓
double f(double x) {
        double r18569424 = 4.0;
        double r18569425 = 29.0;
        double r18569426 = r18569424 / r18569425;
        double r18569427 = 841.0;
        double r18569428 = 108.0;
        double r18569429 = r18569427 / r18569428;
        double r18569430 = x;
        double r18569431 = r18569429 * r18569430;
        double r18569432 = r18569426 + r18569431;
        return r18569432;
}

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

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

Reproduce

herbie shell --seed 2019171 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))