The timings we had in place worked, for most chips, but they failed for a small % of chips in the field. The failure was always exactly identical, the same memory address for corrupted, so it looked exactly like an invalid pointer access.
It took multiple engineers months of investigating to finally track down the root cause.
Best case you trap on memory access to an address if your debugger supports it (ours didn't). Worst case you go through every pointer that is known to access nearby memory and go over the code very very carefully.
Of course it doesn't have to be a nearby pointer, it can be any pointer anywhere in the code base causing the problem, you just hope it is a nearby pointer because the alternative is a needle in a haystack.
I forget how we did find the root cause, I think someone may have just guessed bit flip in a pointer (vs overrun) and then un-bit-flipped every one of the possible bits one by one (not that many, only a few MB of memory so not many active bits for pointers...) and seen what was nearby (figuring what the originally intended address of the pointer was) and started investigating what pointer it was originally supposed to be.
Then after confirming it was a bit flip you have to figure out why the hell a subset of your devices are reliably seeing the exact same bit flipped, once every few days.
So to answer your question, you get a bug (memory is being corrupted), you do an initial investigation, and then provide an estimate. That estimate can very well be "no way to tell".
The principal engineer on this particular project (Microsoft Band) had a strict 0 user impacting bugs rule. Accordingly, after one of my guys spend a couple weeks investigating, the principal engineer assigned one of the top firmware engineers in the world to track down this one bug and fix it. It took over a month.
It wouldn't have caught your issue in this case. But it would have eliminated a huge part of the search space your embedded engineers had to explore while hunting down the bug.
Since it was embedded, no malloc. Everything being static allocations made the search possible in the first place.
This wasn't the only HW bug we found, ugh.
Static analysis can cover all your code, though generally with a significant rate of false positives that you will need to analyse.
You seem to be in the first club, and the other poster in the second.
Working on drivers, a relatively recent example is when we started looking at a "small" image corruption issue in some really specific cases, that slowly spidered out to what was fundamentally a hardware bug affecting an entire class of possible situations, it was just this one case happened to be noticed first.
There was even talk about a hardware ECO at points during this, though an acceptable workaround was eventually found.
I could never have predicted that when I started working on it, and it seemed every time we thought we'd got a decent idea about what was happening even more was revealed.
And then there's been many other issues when you fall onto the cause pretty much instantly and a trivial fix can be completed and in testing faster than updating the bugtracker with an estimate.
True there's probably a decent amount, maybe even 50%, where you can probably have a decent guess after putting in some length of time and be correct within a factor of 2 or so, but I always felt the "long tail" was large enough to make that pretty damn inaccurate.
I used to work for a Japanese company. When we'd have review meetings, each manager would have a small notebook on the table, in front of them.
Whenever a date was mentioned, they'd quickly write something down.
Those dates were never forgotten.
Anytime someone says that you absolutely know they will treat whatever you say as being a commitment written in blood!
Or not. A bug description can also be a ticket from a fellow engineer who knows the problem space deeply and have an initial understanding of the bug, likely cause and possible problems. As always, it depends, and IME the kind of bugs that end up in those "bugathons" are the annoying "yeah I know about it, we need to fix it at some point because it's PITA".
I can understand the "I don't do estimates" mantra for bigger projects, but ballpark estimations for bugs - even if you can be wrong in the end - should not be labelled as 100% impossible all the times.
I understand the urge to quantify something that is impossible to quantify beforehand. There is nothing wrong with making a guess, but people who don't understand my argument usually also don't understand the meaning of "guess". A guess is something based on my current understanding, and as that may change substantially, my guess may also change substantially.
I can make a guess right now on any bug I will ever encounter, based on my past experience: It will not take me more than a day to fix it. Happy?