If you submit your paper to a journal it will face review. If it passes review, the editors will consider it for publication. However, I strongly suspect that the reviewers will question the lack of the analysis in their report and ask for it to be included. That isn't necessarily the case, but the paper/algorithm otherwise needs to be interesting enough for them to want to see it in print even without the analysis. I doubt that will happen, however.
You are free to submit, but there are a couple of gates you must pass through on the way to publication. Better to make the passage as easy as possible.