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 r244550 = 841.0;
        double r244551 = 108.0;
        double r244552 = r244550 / r244551;
        double r244553 = x;
        double r244554 = r244552 * r244553;
        double r244555 = 4.0;
        double r244556 = 29.0;
        double r244557 = r244555 / r244556;
        double r244558 = r244554 + r244557;
        return r244558;
}
↓
double f(double x) {
        double r244559 = 841.0;
        double r244560 = 108.0;
        double r244561 = r244559 / r244560;
        double r244562 = x;
        double r244563 = r244561 * r244562;
        double r244564 = 4.0;
        double r244565 = 29.0;
        double r244566 = r244564 / r244565;
        double r244567 = r244563 + r244566;
        return r244567;
}

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 2020001 +o rules:numerics
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))