I don't know the exact numbers, but I can tell you a few things.
First, I would personally say that conduit is cheaper. This is because the only resource it uses that I do not have a very large excess of is Gold. Conduit uses less gold than Gold Conductive Pipes. ( stone conductive are a lot more lossy than gold, so I'm ignoring them. )
However, Conduit definitely requires a lot more preparation.
Now for losses. This is based off of my reading, and so far experience seems to back it up, but I might be wrong in some details.
Pipes straight into an object have significant losses as any energy sent during a tick that the machine can not use it, is completely lost. EX: Quarry can only accept energy when moving or when trying to break a block. Between these, the energy is lost. Over Power can also be lost. However, because conduit has self storage and can wait for the object to use the power, it does not suffer these issues, making it significantly more efficient.
For distance, even with a short 1 wooden and 10 gold pipes, the conduit surpasses pipes. I went from a pair of electrical engines which I pulsed 1 time using a pressure plate between the 2. These engines fed straight into the pipes, and ended at an empty redstone storage cell. The conduit received 37 MJ, while the pipe received 36 MJ.
Next, to test actual losses for both, I replaced the electrical engines with 2 completely full redstone energy cells, which contain exactly 500,000 MJ each. I left it at the default of sending 50 MJ/T, so these numbers would actually be substantially worse at 5 MJ/T ( or still yet if it was only 1, though the cells can't do that. )
In the end, the Conduit cell had 499,999. This likely just means there was a minor error somewhere as the cell was filled up. It took 10,000 ticks to send the power, and only 1/50th of one single tick lost any power.
EDIT: WOOPS! The following pipe test was stone conductive. I was doing another test and forgot to change it back. Re-doing with gold.
Pipe on the other hand fared MUCH worse. It received just 456,621 energy. Remember, this is only 11 pipes long. Again it took 10,000 ticks to send the power...but this time we saw a loss of 43,379 MJ! That's more than 4 MJ lost every single tick. That's very nearly a 10% loss. ( 8.6758% in fact ) OUCH!
Note that this system completely ignores the losses caused by the machine itself. This is just raw pipe versus conduit.