Average Error: 0.1 → 0.1
Time: 16.4s
Precision: 64
\[\frac{841}{108} \cdot x + \frac{4}{29}\]
↓
\[\frac{4}{29} + \frac{841}{108} \cdot x\]
\frac{841}{108} \cdot x + \frac{4}{29}
↓
\frac{4}{29} + \frac{841}{108} \cdot x
double f(double x) {
        double r14275047 = 841.0;
        double r14275048 = 108.0;
        double r14275049 = r14275047 / r14275048;
        double r14275050 = x;
        double r14275051 = r14275049 * r14275050;
        double r14275052 = 4.0;
        double r14275053 = 29.0;
        double r14275054 = r14275052 / r14275053;
        double r14275055 = r14275051 + r14275054;
        return r14275055;
}
↓
double f(double x) {
        double r14275056 = 4.0;
        double r14275057 = 29.0;
        double r14275058 = r14275056 / r14275057;
        double r14275059 = 841.0;
        double r14275060 = 108.0;
        double r14275061 = r14275059 / r14275060;
        double r14275062 = x;
        double r14275063 = r14275061 * r14275062;
        double r14275064 = r14275058 + r14275063;
        return r14275064;
}

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

    \[\leadsto \frac{4}{29} + \frac{841}{108} \cdot x\]

Reproduce

herbie shell --seed 2019168 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))