Precognitions do not speed things up. They have only two uses:
- to make a deck 'smaller' than 30 cards
- to gain information about your opponents hand
Exchanging 1 card for another does not speed things up in your case. It does not slow you down too much either, but it drains some of your
quanta without giving you much help. I'm not sure how could information about your opponents hand help you in this deck, but might be useful to know eg. if he has a plague in hand (play anubises sequentially so that only the first one can be poisoned).
Sometimes precognition also helps to choose what to rewind (eg. if your opponent is playing duo, rewinding a creature that matches the element of most creatures in his hand slows him down more).
Also, Quantum Index of 5 is good for rush decks, but yours deck seems to be a bit slower, so I guess you don't usually win in 5 turns, do you? I guess a QI around 6 - 6.5 could be better, but it needs some testing.
In fact this deck is very slow due to little damage potential, and also has very little defenses, so it's hard to beat anything but AI3 with it, which is not good for a partially upped deck. Heck, even with a fully upped I could not beat a single top50 (except farms) nor AI5. And I don't know who would like to play a slow deck, with no chance for an EM, that only beats AI3 even upgraded.
Only one shield (turtle) and an Eternity to delay the opponent and prevent deckouts (unless the opponent has a steal/explosion, in which case mono-time never had a chance).
Mono-time can beat steals/explosions a number of ways. Simple devonian/pharaoh rush being the simplest. Also if he wastes his steals on hourglasses your shield/eternity can often survive a while (at least against AI). One nice strategy is to let him waste all steals/explosions on your hourglasses/sundials, then play eternity and start rewinding his creatures and not let him draw another explosion. If he stops playing his creatures so that you cannot rewind them, it gives you a few free turns to beat him.
On the other hand very few mono decks are able to play so defensively that a deck out is a possibility. Your deck would usually lose before reaching a deck out, and if you are playing against a very defensive deck (eg. a stall deck) then you might deck out without eternity, but a properly constructed stall deck cannot be defeated with yours deck anyway.
I'm sorry my review is so harsh, but I just think yours deck needs a lot of tweaking to show the true capabilities of mono