Average Error: 0.1 → 0.1
Time: 14.1s
Precision: 64
\[\frac{841.0}{108.0} \cdot x + \frac{4.0}{29.0}\]
↓
\[\frac{4.0}{29.0} + \frac{841.0}{108.0} \cdot x\]
\frac{841.0}{108.0} \cdot x + \frac{4.0}{29.0}
↓
\frac{4.0}{29.0} + \frac{841.0}{108.0} \cdot x
double f(double x) {
        double r12616329 = 841.0;
        double r12616330 = 108.0;
        double r12616331 = r12616329 / r12616330;
        double r12616332 = x;
        double r12616333 = r12616331 * r12616332;
        double r12616334 = 4.0;
        double r12616335 = 29.0;
        double r12616336 = r12616334 / r12616335;
        double r12616337 = r12616333 + r12616336;
        return r12616337;
}
↓
double f(double x) {
        double r12616338 = 4.0;
        double r12616339 = 29.0;
        double r12616340 = r12616338 / r12616339;
        double r12616341 = 841.0;
        double r12616342 = 108.0;
        double r12616343 = r12616341 / r12616342;
        double r12616344 = x;
        double r12616345 = r12616343 * r12616344;
        double r12616346 = r12616340 + r12616345;
        return r12616346;
}

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

    \[\frac{841.0}{108.0} \cdot x + \frac{4.0}{29.0}\]

  2. Final simplification0.1

    \[\leadsto \frac{4.0}{29.0} + \frac{841.0}{108.0} \cdot x\]

Reproduce

herbie shell --seed 2019164 +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)))