Bitcoin secures its network by forcing miners to solve a cryptographic puzzle who's difficulty increases based on the total hashing power of the network. If someone were to develop an algorithm that enables them to solve this puzzle say 1,000 times more efficiently (faster) than anyone else on the network they would be able to mine most (or a good portion) of new Bitcoin for pennies on the dollar. Assuming the person only uses his knowledge to mine Bitcoin at a much greater speed/efficiency compared to other miners (and does not hack anything or attempt to double spend etc) would the network be able to detect that something like this is happening?
I suppose not, because the hashing power of the network is not something that is known explicitly. It is something that is implicitly calculated based on the assumption that there is no possible way for a single individual to solve the cryptographic puzzle more efficiently than anyone else.
Is my assessment accurate?