Average Error: 0.1 → 0.1
Time: 811.0ms
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 r223374 = 841.0;
        double r223375 = 108.0;
        double r223376 = r223374 / r223375;
        double r223377 = x;
        double r223378 = r223376 * r223377;
        double r223379 = 4.0;
        double r223380 = 29.0;
        double r223381 = r223379 / r223380;
        double r223382 = r223378 + r223381;
        return r223382;
}
↓
double f(double x) {
        double r223383 = 841.0;
        double r223384 = 108.0;
        double r223385 = r223383 / r223384;
        double r223386 = x;
        double r223387 = r223385 * r223386;
        double r223388 = 4.0;
        double r223389 = 29.0;
        double r223390 = r223388 / r223389;
        double r223391 = r223387 + r223390;
        return r223391;
}

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 2020056 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))