Average Error: 0.1 → 0.1
Time: 2.9s
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 r234829 = 841.0;
        double r234830 = 108.0;
        double r234831 = r234829 / r234830;
        double r234832 = x;
        double r234833 = r234831 * r234832;
        double r234834 = 4.0;
        double r234835 = 29.0;
        double r234836 = r234834 / r234835;
        double r234837 = r234833 + r234836;
        return r234837;
}
↓
double f(double x) {
        double r234838 = 841.0;
        double r234839 = 108.0;
        double r234840 = r234838 / r234839;
        double r234841 = x;
        double r234842 = r234840 * r234841;
        double r234843 = 4.0;
        double r234844 = 29.0;
        double r234845 = r234843 / r234844;
        double r234846 = r234842 + r234845;
        return r234846;
}

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 2020039 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))