A two parter:
1) Say you’re designing a new type of application and you’re in the process of coming up with new algorithms to express the concepts and content — does it make sense to attempt to actively not consider optimisation techniques at that stage, even if in the back of your mind you fear it might end up as O(N!) over millions of elements?
2) If so, say to avoid limiting cool functionality which you might be able to optimise once the proof-of-concept is running — how do you stop yourself from this programmers habit of a lifetime? I’ve been trying mental exercises, paper notes, but I grew up essentially counting clock cycles in assembler and I continually find myself vetoing potential solutions for being too wasteful before fully considering the functional value.
Edit: This is about designing something which hasn’t been done before (the unknown), when you’re not even sure if it can be done in theory, never mind with unlimited computing power at hand. So answers along the line of ‘of course you have to optimise before you have a prototype because it’s an established computing principle,’ aren’t particularly useful.
I say all the following not because I think you don’t already know it, but to provide moral support while you suppress your inner critic 🙂
The key is to retain sanity.
If you find yourself writing a Theta(N!) algorithm which is expected to scale, then you’re crazy. You’ll have to throw it away, so you might as well start now finding a better algorithm that you might actually use.
If you find yourself worrying about whether a bit of Pentium code, that executes precisely once per user keypress, will take 10 cycles or 10K cycles, then you’re crazy. The CPU is 95% idle. Give it ten thousand measly cycles. Raise an enhancement ticket if you must, but step slowly away from the assembler.
Once thing to decide is whether the project is ‘write a research prototype and then evolve it into a real product’, or ‘write a research prototype’. With obviously an expectation that if the research succeeds, there will be another related project down the line.
In the latter case (which from comments sounds like what you have), you can afford to write something that only works for N<=7 and even then causes brownouts from here to Cincinnati. That’s still something you weren’t sure you could do. Once you have a feel for the problem, then you’ll have a better idea what the performance issues are.
What you’re doing, is striking a balance between wasting time now (on considerations that your research proves irrelevant) with wasting time later (because you didn’t consider something now that turns out to be important). The more risky your research is, the more you should be happy just to do something, and worry about what you’ve done later.