Average Error: 0.1 → 0.1
Time: 8.7s
Precision: 64
\[\frac{841}{108} \cdot x + \frac{4}{29}\]
↓
\[\frac{4}{29} + \frac{841}{108} \cdot x\]
\frac{841}{108} \cdot x + \frac{4}{29}
↓
\frac{4}{29} + \frac{841}{108} \cdot x
double f(double x) {
        double r183030 = 841.0;
        double r183031 = 108.0;
        double r183032 = r183030 / r183031;
        double r183033 = x;
        double r183034 = r183032 * r183033;
        double r183035 = 4.0;
        double r183036 = 29.0;
        double r183037 = r183035 / r183036;
        double r183038 = r183034 + r183037;
        return r183038;
}
↓
double f(double x) {
        double r183039 = 4.0;
        double r183040 = 29.0;
        double r183041 = r183039 / r183040;
        double r183042 = 841.0;
        double r183043 = 108.0;
        double r183044 = r183042 / r183043;
        double r183045 = x;
        double r183046 = r183044 * r183045;
        double r183047 = r183041 + r183046;
        return r183047;
}

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

    \[\leadsto \frac{4}{29} + \frac{841}{108} \cdot x\]

Reproduce

herbie shell --seed 2019194 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))