Average Error: 0.1 → 0.1
Time: 14.7s
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 r8733411 = 841.0;
        double r8733412 = 108.0;
        double r8733413 = r8733411 / r8733412;
        double r8733414 = x;
        double r8733415 = r8733413 * r8733414;
        double r8733416 = 4.0;
        double r8733417 = 29.0;
        double r8733418 = r8733416 / r8733417;
        double r8733419 = r8733415 + r8733418;
        return r8733419;
}
↓
double f(double x) {
        double r8733420 = 4.0;
        double r8733421 = 29.0;
        double r8733422 = r8733420 / r8733421;
        double r8733423 = 841.0;
        double r8733424 = 108.0;
        double r8733425 = r8733423 / r8733424;
        double r8733426 = x;
        double r8733427 = r8733425 * r8733426;
        double r8733428 = r8733422 + r8733427;
        return r8733428;
}

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 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))