Average Error: 0.1 → 0.1
Time: 8.6s
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 r215229 = 841.0;
        double r215230 = 108.0;
        double r215231 = r215229 / r215230;
        double r215232 = x;
        double r215233 = r215231 * r215232;
        double r215234 = 4.0;
        double r215235 = 29.0;
        double r215236 = r215234 / r215235;
        double r215237 = r215233 + r215236;
        return r215237;
}
↓
double f(double x) {
        double r215238 = 841.0;
        double r215239 = 108.0;
        double r215240 = r215238 / r215239;
        double r215241 = x;
        double r215242 = r215240 * r215241;
        double r215243 = 4.0;
        double r215244 = 29.0;
        double r215245 = r215243 / r215244;
        double r215246 = r215242 + r215245;
        return r215246;
}

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 2020047 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))