Thanks on kind words.
I have improvement on that shrine hunting thing. Thanks to Frozzzen who suggested to save game in act 4 instead of act 1 which considerably reduced my running times because if you save in act 4, saving time is not horribly long like in act 1 for whatever reason. Same is true for act 5. I suggest Frozzzen for Arreat Summit president! On top of that, I have shrine close to waypoint of river of flame, so now I hit 7 shrines per run instead of 6 with same running time as before. Did 199 new runs, farmed 40 pammies in that time with 18.87 s avg. runtime, so basically it takes ~94 seconds to find gem shrine now in comparison to 109 I had before. That is big improvement, 16%!. Maybe doesn't sound that much, but imagine if you want to hit gem shrine 200 times, that improvement means I can save 3000 seconds or 50 minutes in the process.
So what I learned from my tests:
1. gem shrine appears once per 34.7 shrines based on 3193 shrines hit.
2. save times are incredibly big if you do it in act 1, but if you go in act 4/5, you can hit additional shrine anywhere + your save time will be small making your gem shrine hunting more efficient.
3. this method of farming certain pgems is very very fast in comparison to anywhere in the game. But also this method is meant only to get certain pgem faster, not to farm all pgems faster since by hunting for shrines, you don't farm jewels, charms etc you do when running LK or Travincal.
EDIT
Even though I don't have good shrine maps anywhere else, it seems it is profitable to hit another shrine close to waypoint. Doing so for two additional doesn't seem to improve anything but is rather annoying to switch among too many waypoints. So basically my final pattern I find most efficient for me is this:
check 2 shrines near waypoint in Stony Field
check 4 shrines near waypoint in Dark Wood
check 1 shrine 1 tele from waypoint in Travincal
check final shrine 1 tele from waypoint in River of Flame
Then save/exit. I can achieve 20.2 seconds avg. time per 8 shrine hits, which is another 7% improvement, or 1 gem shrine in ~** seconds. So another 6 seconds improvement? Cool! But that's it so far, it doesn't seem profitable to do any more tricks on my current map, this is best I can possibly do, checking one shrine in 2.52 seconds. I do think better maps are certainly possible, but seem hardish to roll. If I had like 3-4 fast shrines in Lower Kurast for example, that would be super godly...
I do think shrines beyond act 1 have less chance to be gem shrine cause they can also become resist poison and resit lightning shrines? I'm not sure though.