Proposed strat to rush for Pyramids: remove 1 scientist to cows and start worker (10 turns), cancel task for the worker we have (before he moves this turn, that is - immediately), move him to Thebes, next turn - to woods west, 3 turns for road, 1 turn to stone hill, 3 turns road - and we already have masonry (9 turns passed since now, mining + masonry = 7 turns, 7 (2 + 5 to go) for bronze working).
Now it is 1 turn to go for worker and 9 worker days for quarry. Start quarry with 1st, next turn 2nd pops, comes and helps build quarry the same turn. They have 3 more turns to go. Then (perhaps not immediately) switch to Pyramids, remove all growth via setting to scientists or hill to prevent red faces and revolt to Bureaucracy.
Bronze working is discovered the same turn (or 1 before if research rounds up) the quarry is built the very next turn start chopping and producing Pyramids. Chopping wood at Epic takes 5 turns, so with 2 workers it will take a while. Base city production (city+quarry+cow) is 10 + 100% from stone + 50% from Bureau = 25. First chop starts the next turn the quarry is built by moving along the road. It will take 12 turns after quarry to chop 4 tiles of wood giving 112*4 + 25*12 = 736 out of 675 => excess
If we try to chop 3 tiles, this will take 10 turns = 3*112 + 25*10 = 586 out of 675 - need extra 89. If we hit bureau right after the worker is produced, and then build pyramids before quarry (adjusting for 1 move for anarchy) = 2turn*(2town+3cow+3hill)*1,5bureau + 1turn*(2town+3cow+5quarry)*2,5bureau&stone = 24 + 25 = 49 hammers. If we also during chopping work plains wood tile for extra 2 hammers per turn * 2,5 * 10 turns = 50 hammers. That's it!
That is the recipe of Pyramids in 9 for road + 5 for quarry + 10 for chopping = 24 turns. Can anyone think of faster?
Edit: the previous calculation was incorrect. It is correct now (I believe)