Average Error: 0.1 → 0.1
Time: 2.3s
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 r223592 = 841.0;
        double r223593 = 108.0;
        double r223594 = r223592 / r223593;
        double r223595 = x;
        double r223596 = r223594 * r223595;
        double r223597 = 4.0;
        double r223598 = 29.0;
        double r223599 = r223597 / r223598;
        double r223600 = r223596 + r223599;
        return r223600;
}
↓
double f(double x) {
        double r223601 = 841.0;
        double r223602 = 108.0;
        double r223603 = r223601 / r223602;
        double r223604 = x;
        double r223605 = r223603 * r223604;
        double r223606 = 4.0;
        double r223607 = 29.0;
        double r223608 = r223606 / r223607;
        double r223609 = r223605 + r223608;
        return r223609;
}

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 2020033 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))