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 r242726 = 841.0;
        double r242727 = 108.0;
        double r242728 = r242726 / r242727;
        double r242729 = x;
        double r242730 = r242728 * r242729;
        double r242731 = 4.0;
        double r242732 = 29.0;
        double r242733 = r242731 / r242732;
        double r242734 = r242730 + r242733;
        return r242734;
}
↓
double f(double x) {
        double r242735 = 841.0;
        double r242736 = 108.0;
        double r242737 = r242735 / r242736;
        double r242738 = x;
        double r242739 = r242737 * r242738;
        double r242740 = 4.0;
        double r242741 = 29.0;
        double r242742 = r242740 / r242741;
        double r242743 = r242739 + r242742;
        return r242743;
}

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)))