Average Error: 0.1 → 0.1
Time: 8.0s
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 r500201 = 841.0;
        double r500202 = 108.0;
        double r500203 = r500201 / r500202;
        double r500204 = x;
        double r500205 = r500203 * r500204;
        double r500206 = 4.0;
        double r500207 = 29.0;
        double r500208 = r500206 / r500207;
        double r500209 = r500205 + r500208;
        return r500209;
}
↓
double f(double x) {
        double r500210 = 841.0;
        double r500211 = 108.0;
        double r500212 = r500210 / r500211;
        double r500213 = x;
        double r500214 = r500212 * r500213;
        double r500215 = 4.0;
        double r500216 = 29.0;
        double r500217 = r500215 / r500216;
        double r500218 = r500214 + r500217;
        return r500218;
}

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 2020042 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))