I managed to improve level 1 by 6 frames but sadly you gain only 4 frames (because of frame rules probably) as soon as level 2 starts, but level 1 is the most critical level in this game because you need to double lucky here...
a) In manipulating enemies to reduce jumps
b) You get the random grenade commander door in level 2 depending on your level 1 RNG
So level 1 now has the least possible number of jumps but I am getting wrong grenade commander door in level 2, but I believe I will get the solution soon...
This six frames of improvement comes from :-
Reducing 1 jump (4 frames gained)
Take damage to gain 1 frame improvement
and rest of 1 frame comes from lag reducing (I am not sure about this though)
Movie lasts until level 2 starts