Average Error: 0.1 → 0.1
Time: 2.3s
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 r269209 = 841.0;
        double r269210 = 108.0;
        double r269211 = r269209 / r269210;
        double r269212 = x;
        double r269213 = r269211 * r269212;
        double r269214 = 4.0;
        double r269215 = 29.0;
        double r269216 = r269214 / r269215;
        double r269217 = r269213 + r269216;
        return r269217;
}
↓
double f(double x) {
        double r269218 = 841.0;
        double r269219 = 108.0;
        double r269220 = r269218 / r269219;
        double r269221 = x;
        double r269222 = r269220 * r269221;
        double r269223 = 4.0;
        double r269224 = 29.0;
        double r269225 = r269223 / r269224;
        double r269226 = r269222 + r269225;
        return r269226;
}

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 2020083 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))