https://tasvideos.org/UserFiles/Info/638237798222671732
Alrighty. Here's another update to the TAS, which is 263 frames faster than the previous version. Big thanks to ktwo for pointing me towards some great resources. Most of the improvements come from adopting some routes and strategies from Hisatoki's best ending TAS and the "No Mighty Coin" strategy from Guybrush's TAS. Additional saves come from clipping into platforms by jumping or falling at the corner.
Beginning Screen: Saved 27 frames by adopting G's No Mighty Coin strategy. Same time as G's because it's all unstopped rightward movement. G revealed the contents of many chests, but I only revealed the location of 5 Mighty Coins.
1: Saved 10 frames by clipping into, and jump boosting off of, the top platforms on the left and the right. Route was already 30 frames faster than H's; this time save makes it a total 40 frames faster.
2: Saved 2 frames by clipping into the middle left platform. Route was already 6 frames faster than H's; this time save makes it a total 8 frames faster.
3: Saved 21 frames mostly by adopting H's routing. Additional time saved by clipping into the lower left platform on the way up to collect a bomb early. H's route was 12 frames faster than my previous; this time save is 9 frames faster than H's.
4: Saved 23 frames mostly by adopting H's routing. Additional time saved by clipping into both of the left platforms. H's route was 16 frames faster than my previous; this time save is 7 frames faster than H's.
5: Saved 1 frame, not sure exactly how. Route was already faster than H's; this time save makes it a total 25 frames faster.
6: Saved 6 frames by clipping into the right platform. H's route is still 13 frames faster, but he isn't warping to the next Palace Room and therefore isn't restricted by first/last bomb considerations.
7: No frames saved. Clipped into left tunnel which should have saved time but didn't. Room is skipped in H's "best ending" TAS.
8: Saved 1 frame by clipping into the bottom right platform. Room is skipped in H's "best ending" TAS.
9: Saved 20 frames by dropping faster and collecting the missed bombs at the end. The faster start almost made it so that a mummy would be in my way and slow me down but I managed to force the mummy to fall through the floor. The only thing I manipulated to make this happen was Jack's x-coord, but there must be other factors. Room is skipped in H's "best ending" TAS.
10: Saved 6 frames mostly by adopting H's routing. Additional time saved by clipping into top left and bottom right platforms. H's is still 6 frames faster because at the end two mummies get in my way. In H's TAS the mummies stay on the top right platform because they have longer drop timers. This is either because H's TAS was done with Japanese ROM or because he skipped 3 Palace Rooms. Could save a lot more frames if I could safely walk under the mummy near the end. Getting the earlier mummy to pass through the floor so it wont be in my way would do the trick.
11: Saved 24 frames by clipping into and jump boosting off of the center top platform. The faster left side got me to the right side fast enough that the last mummy spawned on the left and wouldn't be in my way. Also clipped into upper right platform. H's route is still 10 frames faster, but he isn't warping to the next palace room and therefore isn't restricted by first/last bomb considerations.
12: Saved 25 frames by adopting H's routing. H's route was 14 frames faster than my previous; this time save is 11 frames faster than H's because it has less lag, although I'm not sure why.
13: Saved 12 frames by clipping into the middle left platform so I could collect the bombs while going up without having to land on the platform. Route was already faster than H's; this time save makes it a total 67 frames faster.
14: Saved 30 frames by adopting H's routing. H's route was 26 frames faster than my previous; this time save is 4 frames faster than H's.
15: Saved 33 frames by adopting H's routing, except for the jump boost at the end which kept being 1 frame slower for me. H's route was 29 frames faster than my previous; this time save is 4 frames faster than H's.
16: Saved 1 frame by clipping when exiting of the central box. Route was already faster than H's; this time save makes it a total 25 frames faster.
End Screen 1: Saved 2 frames, not sure exactly how.
End Screen 2: Lost 2 frames because of the No Might Coin strategy.
End Screen 3: Saved 21 frames by jump boosting up to the door.
End Screen 4: No change.