Average Error: 0.1 → 0.1
Time: 2.6s
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 r344403 = 841.0;
        double r344404 = 108.0;
        double r344405 = r344403 / r344404;
        double r344406 = x;
        double r344407 = r344405 * r344406;
        double r344408 = 4.0;
        double r344409 = 29.0;
        double r344410 = r344408 / r344409;
        double r344411 = r344407 + r344410;
        return r344411;
}
↓
double f(double x) {
        double r344412 = 841.0;
        double r344413 = 108.0;
        double r344414 = r344412 / r344413;
        double r344415 = x;
        double r344416 = r344414 * r344415;
        double r344417 = 4.0;
        double r344418 = 29.0;
        double r344419 = r344417 / r344418;
        double r344420 = r344416 + r344419;
        return r344420;
}

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 2020021 
(FPCore (x)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, A"
  :precision binary64
  (+ (* (/ 841 108) x) (/ 4 29)))