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 r268169 = 841.0;
        double r268170 = 108.0;
        double r268171 = r268169 / r268170;
        double r268172 = x;
        double r268173 = r268171 * r268172;
        double r268174 = 4.0;
        double r268175 = 29.0;
        double r268176 = r268174 / r268175;
        double r268177 = r268173 + r268176;
        return r268177;
}
↓
double f(double x) {
        double r268178 = 841.0;
        double r268179 = 108.0;
        double r268180 = r268178 / r268179;
        double r268181 = x;
        double r268182 = r268180 * r268181;
        double r268183 = 4.0;
        double r268184 = 29.0;
        double r268185 = r268183 / r268184;
        double r268186 = r268182 + r268185;
        return r268186;
}

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