Your average win is turn four. Let’s assume you have a token generator on the field and a beck/call in hand. Use two lands to cast beck/call. With the other two mana, your casting prioritization should be as follows:
Faithless looting (if you have infernal plunge in hand) > infernal plunge (if you have a creature to sacrifice) > manamorphose > battle hymn > wild cantor > anything else
Your best starter is looting into infernal plunge, which gets the most early mana and creatures, and digs the deepest with the fewest spells. You won’t usually get that start though. Manamorphose is what you usually want to play first, into a plunge as your second spell. You want to wait as long as possible before casting a battle hymn, but if that’s the only spell and you need to go off, it pays for itself and cantrips, so you can play it. Once you resolve a second token generator with at least two mana floating, or an empty the warrens with at least two mana floating, you will be set to win. Be careful! Empty the warrens can easily draw your entire deck and lose you the game in one go. Never cast more than one of these in a game.
Winning on Turn 3
With wild cantor, you can win turn three, but you need a pretty perfect hand or draw.
T1: land into wild cantor
T2: land into young pyromancer, hope they don’t kill your creatures
T3: play a land, sacrifice wild cantor. You have now reached the four mana threshold required for going off. Just follow all the rules in the average win section.