>> Wish that O(n^3) algorithm could execute in real-time? Now it's possible! We encourage you to push the limits of our platform and disregard what was previously intractable.
One of the most important things to note about asymptotic analysis is that the speed of your computer is immaterial. An O(n^3) algorithm will experience cubic slowdown, irrespective of how it's implemented. A blazing fast, parallelised solution just reduces the constant multiple in front of the n^3, but ultimately, n^3 will outgrow that constant. I'm sure you know this, but it's disingenuous to say that you can disregard an algorithm's complexity because of your data / results. A particular algorithm with particular space complexity (also important) was run on a particular input and was much faster - granted, this is impressive - but not definitive enough to justify labels like '1000x faster' and 'disregard what was previously intractable'.
Also, O(n^3) is considered polynomial, which is absolutely not intractable. The whole point of intractable problems is that they are too complex to solve (given current best known methods). This might be very useful for applications that are currently too slow to run in real-time, but absolutely not a solution to problems of much higher order (read: non-polynomial) complexity