Learn English – “Attendance at” or “attendance of”

Consider the following three sentences.

1. He raced out the door.
2. He raced out of the doorway.
3. He raced out of the door.

In the first sentence out is a preposition meaning 'through to the outside'. This is entirely unproblematic: he was in a room or building, and he raced out of it through the door(way).

In formal English the second sentence is equally clear: out is an adverb meaning 'moving or appearing to move away from a particular place, especially one that is enclosed', and the sentence means that he raced out of the doorway in which he had been standing. I shouldn’t be at all surprised, however, to find that some people use it synonymously with (1).

Since 'doorway' is one perfectly standard meaning of door, and since it is more than a little difficult to stand in a physical door, (3) is formally synonymous with (2). However, many people, evidently including at least one writer for Murder, She Wrote, use it synonymously with (1). For those people out of has in effect become a compound preposition meaning 'through to the outside' as well as the combination of adverb and preposition found in the formal interpretation of (2). I suspect that this, like in back of for behind, is more common in the US than in the UK. In the US, at least, it’s common enough to qualify as normal English, though there are also speakers like me who would never use it because it’s ungrammatical in their idiolects.

Re "How can i find out if a turn of phrase is pleasant/good/valid?", writers.stackexchange will serve if you phrase your questions properly. Per its faq, one may ask about "Non-fiction, technical, or scholarly writing" and "Copywriting", among other genres, so long as you are not asking about "strictly interpreted correctness of English grammar or syntax rules".

In the first collegially-rewritten example, "In our example we would for example" is quite clumsy. Consider instead "In our example, one can check cache statistics with an AppFabric powershell command, but use whatever tool you most like".

Re the second example, advice to prefer readily available to easily accessible seems wrong. That a phrase is frequently used carries no weight if it's the wrong phrase. The information in question evidently is readily available, and the actual problem is it isn't easy to access without knowing all about some program.