Average Error: 0.1 → 0.1
Time: 808.0ms
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 r201181 = 841.0;
        double r201182 = 108.0;
        double r201183 = r201181 / r201182;
        double r201184 = x;
        double r201185 = r201183 * r201184;
        double r201186 = 4.0;
        double r201187 = 29.0;
        double r201188 = r201186 / r201187;
        double r201189 = r201185 + r201188;
        return r201189;
}
↓
double f(double x) {
        double r201190 = 841.0;
        double r201191 = 108.0;
        double r201192 = r201190 / r201191;
        double r201193 = x;
        double r201194 = r201192 * r201193;
        double r201195 = 4.0;
        double r201196 = 29.0;
        double r201197 = r201195 / r201196;
        double r201198 = r201194 + r201197;
        return r201198;
}

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 2020056 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))