Average Error: 0.1 → 0.1
Time: 2.6s
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 r216548 = 841.0;
        double r216549 = 108.0;
        double r216550 = r216548 / r216549;
        double r216551 = x;
        double r216552 = r216550 * r216551;
        double r216553 = 4.0;
        double r216554 = 29.0;
        double r216555 = r216553 / r216554;
        double r216556 = r216552 + r216555;
        return r216556;
}
↓
double f(double x) {
        double r216557 = 841.0;
        double r216558 = 108.0;
        double r216559 = r216557 / r216558;
        double r216560 = x;
        double r216561 = r216559 * r216560;
        double r216562 = 4.0;
        double r216563 = 29.0;
        double r216564 = r216562 / r216563;
        double r216565 = r216561 + r216564;
        return r216565;
}

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 2020036 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))