Seeing a slight problem with number of cards here....
You have 8 cards at the start (assuming you play 2nd) -
Mountain, Spirit Guide and
Monastery Swiftspear, 1st
Pyretic Ritual means you are down to 4 cards.
Expedite replaces itself, still at 4. 2nd
Pyretic Ritual, down to 3.
Expedite replaces again, still at 3. 3rd
Pyretic Ritual down to 2.
Assualt Strobe - down to 1.
2 x
Brute force puts you down to -1 cards doesn't it?
Have you considered
Manamorphose though? It quite literally replaces itself (2 mana to get 2 mana, draw a card).
Also
Gitaxian Probe can be paid with life instead of mana and replaces itself in your hand, counting as a cast trigger for Swiftspear and helping you draw the pieces you need. (Even though its blue, you don't actually need blue mana to cast it)