We have a bug in our application that does not occur every time and therefore we don't know its "logic". I don't even get it reproduced in 100 times today.
Disclaimer: This bug exists and I've seen it. It's not a pebkac or something similar.
What are common hints to reproduce this kind of bug?
I'd suggest to write down all things that user has been doing. If you have lets say 10 such bug reports You can try to find something that connects them.
The team that I work with has enlisted the users in recording their time they spend in our app with CamStudio when we've got a pesky bug to track down. It's easy to install and for them to use, and makes reproducing those nagging bugs much easier, since you can watch what the users are doing. It also has no relationship to the language you're working in, since it's just recording the windows desktop.
However, this route seems to be viable only if you're developing corporate apps and have good relationships with your users.
Try to add code in your app to trace the bug automatically once it happens (or even alert you via mail / SMS)
log whatever you can so when it happens you can catch the right system state.
Another thing- try applying automated testing that can cover more territory than human based testing in a formed manner.. it's a long shot, but a good practice in general.
What development environment? For C++, your best bet may be VMWare Workstation record/replay, see: http://stackframe.blogspot.com/2007/04/workstation-60-and-death-of.html
Other suggestions include inspecting the stack trace, and careful code overview... there is really no silver bullet :)
Assuming you're on Windows, and your "bug" is a crash or some sort of corruption in unmanaged code (C/C++), then take a look at Application Verifier from Microsoft. The tool has a number of stops that can be enabled to verify things during runtime. If you have an idea of the scenario where your bug occurs, then try to run through the scenario (or a stress version of the scenario) with AppVerifer running. Make sure to either turn on pageheap in AppVerifier, or consider compiling your code with the /RTCcsu switch (see http://msdn.microsoft.com/en-us/library/8wtf2dfz.aspx for more information).
This varies (as you say), but some of the things that are handy with this can be