Yes, or sometimes even less rigour than this: run some data and see if the results "look right". This is the standard procedure for when you've developed a com

Yes, or sometimes even less rigour than this: run some data and see if the results "look right". This is the standard procedure for when you've developed a complex algorithm to do something novel, and actually working through it by hand would take hours. I should know, this is how I used to do it before I knew better, and as a result one of my published papers has (very slight) numerical errors in.