Average Error: 0.1 → 0.1
Time: 1.8s
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 r305669 = 841.0;
        double r305670 = 108.0;
        double r305671 = r305669 / r305670;
        double r305672 = x;
        double r305673 = r305671 * r305672;
        double r305674 = 4.0;
        double r305675 = 29.0;
        double r305676 = r305674 / r305675;
        double r305677 = r305673 + r305676;
        return r305677;
}
↓
double f(double x) {
        double r305678 = 841.0;
        double r305679 = 108.0;
        double r305680 = r305678 / r305679;
        double r305681 = x;
        double r305682 = r305680 * r305681;
        double r305683 = 4.0;
        double r305684 = 29.0;
        double r305685 = r305683 / r305684;
        double r305686 = r305682 + r305685;
        return r305686;
}

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 2020057 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))