Average Error: 0.1 → 0.1
Time: 1.9s
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 r247048 = 841.0;
        double r247049 = 108.0;
        double r247050 = r247048 / r247049;
        double r247051 = x;
        double r247052 = r247050 * r247051;
        double r247053 = 4.0;
        double r247054 = 29.0;
        double r247055 = r247053 / r247054;
        double r247056 = r247052 + r247055;
        return r247056;
}
↓
double f(double x) {
        double r247057 = 841.0;
        double r247058 = 108.0;
        double r247059 = r247057 / r247058;
        double r247060 = x;
        double r247061 = r247059 * r247060;
        double r247062 = 4.0;
        double r247063 = 29.0;
        double r247064 = r247062 / r247063;
        double r247065 = r247061 + r247064;
        return r247065;
}

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)))