Average Error: 0.1 → 0.1
Time: 6.3s
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 r306727 = 841.0;
        double r306728 = 108.0;
        double r306729 = r306727 / r306728;
        double r306730 = x;
        double r306731 = r306729 * r306730;
        double r306732 = 4.0;
        double r306733 = 29.0;
        double r306734 = r306732 / r306733;
        double r306735 = r306731 + r306734;
        return r306735;
}
↓
double f(double x) {
        double r306736 = 841.0;
        double r306737 = 108.0;
        double r306738 = r306736 / r306737;
        double r306739 = x;
        double r306740 = r306738 * r306739;
        double r306741 = 4.0;
        double r306742 = 29.0;
        double r306743 = r306741 / r306742;
        double r306744 = r306740 + r306743;
        return r306744;
}

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 2020047 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))