Average Error: 0.1 → 0.1
Time: 7.7s
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 r166438 = 841.0;
        double r166439 = 108.0;
        double r166440 = r166438 / r166439;
        double r166441 = x;
        double r166442 = r166440 * r166441;
        double r166443 = 4.0;
        double r166444 = 29.0;
        double r166445 = r166443 / r166444;
        double r166446 = r166442 + r166445;
        return r166446;
}
↓
double f(double x) {
        double r166447 = 841.0;
        double r166448 = 108.0;
        double r166449 = r166447 / r166448;
        double r166450 = x;
        double r166451 = r166449 * r166450;
        double r166452 = 4.0;
        double r166453 = 29.0;
        double r166454 = r166452 / r166453;
        double r166455 = r166451 + r166454;
        return r166455;
}

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 2019199 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))