Average Error: 0.1 → 0.1
Time: 5.9s
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 r183999 = 841.0;
        double r184000 = 108.0;
        double r184001 = r183999 / r184000;
        double r184002 = x;
        double r184003 = r184001 * r184002;
        double r184004 = 4.0;
        double r184005 = 29.0;
        double r184006 = r184004 / r184005;
        double r184007 = r184003 + r184006;
        return r184007;
}
↓
double f(double x) {
        double r184008 = 841.0;
        double r184009 = 108.0;
        double r184010 = r184008 / r184009;
        double r184011 = x;
        double r184012 = r184010 * r184011;
        double r184013 = 4.0;
        double r184014 = 29.0;
        double r184015 = r184013 / r184014;
        double r184016 = r184012 + r184015;
        return r184016;
}

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