Average Error: 0.1 → 0.1
Time: 1.1s
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 r266396 = 841.0;
        double r266397 = 108.0;
        double r266398 = r266396 / r266397;
        double r266399 = x;
        double r266400 = r266398 * r266399;
        double r266401 = 4.0;
        double r266402 = 29.0;
        double r266403 = r266401 / r266402;
        double r266404 = r266400 + r266403;
        return r266404;
}
↓
double f(double x) {
        double r266405 = 841.0;
        double r266406 = 108.0;
        double r266407 = r266405 / r266406;
        double r266408 = x;
        double r266409 = r266407 * r266408;
        double r266410 = 4.0;
        double r266411 = 29.0;
        double r266412 = r266410 / r266411;
        double r266413 = r266409 + r266412;
        return r266413;
}

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 2020046 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))