Average Error: 0.1 → 0.1
Time: 10.1s
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 r10458379 = 841.0;
        double r10458380 = 108.0;
        double r10458381 = r10458379 / r10458380;
        double r10458382 = x;
        double r10458383 = r10458381 * r10458382;
        double r10458384 = 4.0;
        double r10458385 = 29.0;
        double r10458386 = r10458384 / r10458385;
        double r10458387 = r10458383 + r10458386;
        return r10458387;
}
↓
double f(double x) {
        double r10458388 = 4.0;
        double r10458389 = 29.0;
        double r10458390 = r10458388 / r10458389;
        double r10458391 = 841.0;
        double r10458392 = 108.0;
        double r10458393 = r10458391 / r10458392;
        double r10458394 = x;
        double r10458395 = r10458393 * r10458394;
        double r10458396 = r10458390 + r10458395;
        return r10458396;
}

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 2019172 +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)))