Average Error: 0.1 → 0.1
Time: 4.7s
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 r181019 = 841.0;
        double r181020 = 108.0;
        double r181021 = r181019 / r181020;
        double r181022 = x;
        double r181023 = r181021 * r181022;
        double r181024 = 4.0;
        double r181025 = 29.0;
        double r181026 = r181024 / r181025;
        double r181027 = r181023 + r181026;
        return r181027;
}
↓
double f(double x) {
        double r181028 = 841.0;
        double r181029 = 108.0;
        double r181030 = r181028 / r181029;
        double r181031 = x;
        double r181032 = r181030 * r181031;
        double r181033 = 4.0;
        double r181034 = 29.0;
        double r181035 = r181033 / r181034;
        double r181036 = r181032 + r181035;
        return r181036;
}

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 2019308 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))