Average Error: 0.1 → 0.1
Time: 2.0s
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 r290506 = 841.0;
        double r290507 = 108.0;
        double r290508 = r290506 / r290507;
        double r290509 = x;
        double r290510 = r290508 * r290509;
        double r290511 = 4.0;
        double r290512 = 29.0;
        double r290513 = r290511 / r290512;
        double r290514 = r290510 + r290513;
        return r290514;
}
↓
double f(double x) {
        double r290515 = 841.0;
        double r290516 = 108.0;
        double r290517 = r290515 / r290516;
        double r290518 = x;
        double r290519 = r290517 * r290518;
        double r290520 = 4.0;
        double r290521 = 29.0;
        double r290522 = r290520 / r290521;
        double r290523 = r290519 + r290522;
        return r290523;
}

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 2020064 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))