Average Error: 0.1 → 0.1
Time: 6.0s
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 r296297 = 841.0;
        double r296298 = 108.0;
        double r296299 = r296297 / r296298;
        double r296300 = x;
        double r296301 = r296299 * r296300;
        double r296302 = 4.0;
        double r296303 = 29.0;
        double r296304 = r296302 / r296303;
        double r296305 = r296301 + r296304;
        return r296305;
}
↓
double f(double x) {
        double r296306 = 841.0;
        double r296307 = 108.0;
        double r296308 = r296306 / r296307;
        double r296309 = x;
        double r296310 = r296308 * r296309;
        double r296311 = 4.0;
        double r296312 = 29.0;
        double r296313 = r296311 / r296312;
        double r296314 = r296310 + r296313;
        return r296314;
}

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