Working on this game, might TAS it eventually. I will store important information and TAS-only tricks here. The rest of this game's speedrun info can be found at
https://forum.speeddemosarchive.com/post/sphinx_and_the_cursed_mummy.html
General Info
-Sphinx and Tut can jump out of mid-air after leaving and edge, similarly to the Donkey Kong Country games.
-Both Sphinx and Tut can jump at the top of ladders/climbing surfaces to avoid their climb-up animations. Sphinx requires a second jump or sword attack to make it onto the ledge.
-After pushing/pulling an object Sphinx and Tut can jump away from the object instead of releasing it, saving time.
-Tut can jump after exiting a "sneak", even if mid-air. This is faster than reaching the other side and exiting the sneak.
-Sphinx can hit two hanging lanterns at once if you place him between them.
-Deathwarps are often a good way to save time, sending you back to where you need to go quicker.
-You can attack with sword faster by pressing shield immediately followed by slash near the end of your previous slash (
https://www.youtube.com/watch?v=E55NeKfHRkA ).
-Hovering is done by alternating running forward and standing still as you leave a ledge.
-Taking damage while mid-air will give you your jumps back or allow you to begin a hover.
-Damage boosting is possible off of certain enemies.
Frame Data
-Hovering for maintaining the most height = 3 frames forward, 1 frame neutral.
-Hovering for highest speed = 9 frames forward, 2 frames neutral.
-Fast slashing = Hold forward, slash, shield after 14 frames, slash 11 frames later, repeat.
TAS-Only Timesavers (listed in the order that they're done in the game)
-Skip Slim Burble boulder puzzle
https://www.youtube.com/watch?v=O1-MwBMcOuM
-Skip crate puzzle 1
https://www.youtube.com/watch?v=iAAakUvV-2o
-Shield of Osiris without killing enemies
https://www.youtube.com/watch?v=TrGJDDfs1Xk
-Skip Tut's lunar puzzle
https://www.youtube.com/watch?v=Tbe-IyjjEq0
-Skip ID
https://www.youtube.com/watch?v=HKTEnEHKcmw