Average Error: 0.1 → 0.1
Time: 1.8s
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 r227025 = 841.0;
        double r227026 = 108.0;
        double r227027 = r227025 / r227026;
        double r227028 = x;
        double r227029 = r227027 * r227028;
        double r227030 = 4.0;
        double r227031 = 29.0;
        double r227032 = r227030 / r227031;
        double r227033 = r227029 + r227032;
        return r227033;
}
↓
double f(double x) {
        double r227034 = 841.0;
        double r227035 = 108.0;
        double r227036 = r227034 / r227035;
        double r227037 = x;
        double r227038 = r227036 * r227037;
        double r227039 = 4.0;
        double r227040 = 29.0;
        double r227041 = r227039 / r227040;
        double r227042 = r227038 + r227041;
        return r227042;
}

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 2020001 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))