I have found the ancient device maybe 7 times and seen 5 of the outcomes. To see all 10 for the Wheel of Misfortune achievement and to find all the locations for the Nooks and Crannies achievement, you need to find this thing quite often. I've spent hours of farming Desolate Sands and it barely seems to show up.
How can I speed up my runs so that I'm not wasting time wandering the Desolate Sands?
I've seen it appear at the north and south ends of Desolate Sands. Any information is useful if it saves running around this place. Does it appear on the sides or can I skip searching these?
If I see certain things, does it mean I can stop searching that side of the center gap in the middle of the Desolate Sands? It seems like the large spiral location takes the place of the Ancient Device as I've not seen them on the same side of the gap. I've also never seen it near the 3 Mysterious Jars that summon Pazuzu so it's possible this takes the place of the ancient device as well. I've also seen a location with a booby-trapped chest in the middle of a large circle and an area with a bunch of skull-shaped spawn closets, but I've definitely seen them near the Ancient Device. Anything that once I see it says: Stop searching here and move on would be very helpful.
Is there a rule like "there can only be 1 random dungeon in this area", meaning that if I am trying for one of the device's dungeons and I see Vile Cavern or Shaitan The Broodmother (who's death opens up Cave of Burrowing Horror), I should just re-instance and try again? Any rules that can end a search early would also be very useful.
Is there some sort of temporal component that determines when it will appear? Does it appear more during certain times of day? On/close to the hour? During certain moon phases? Anything that can tell me when I should be searching would also be very helpful.