Average Error: 0.1 → 0.1
Time: 6.5s
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 r9670334 = 841.0;
        double r9670335 = 108.0;
        double r9670336 = r9670334 / r9670335;
        double r9670337 = x;
        double r9670338 = r9670336 * r9670337;
        double r9670339 = 4.0;
        double r9670340 = 29.0;
        double r9670341 = r9670339 / r9670340;
        double r9670342 = r9670338 + r9670341;
        return r9670342;
}
↓
double f(double x) {
        double r9670343 = 4.0;
        double r9670344 = 29.0;
        double r9670345 = r9670343 / r9670344;
        double r9670346 = 841.0;
        double r9670347 = 108.0;
        double r9670348 = r9670346 / r9670347;
        double r9670349 = x;
        double r9670350 = r9670348 * r9670349;
        double r9670351 = r9670345 + r9670350;
        return r9670351;
}

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 +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)))