Va'Eira II: Black Magic or Sheidim, Which Is More Powerful

The gemara in Sanhedrin 67b explains that the chartumei Mitzrayim used both kishuf and sheidim. When the Torah describes how they turned a stick into a tanin, it uses the term "belahatehem" However, when describing how they attempted to replicate the makkos the Torah uses the term "belatehem". The gemara explains that "belahatehem" refers to kishuf and "belatehem" refers to sheidim.
The question is, which koach is more powerful? The Maharsha (based on the gemara later on) understands that you can accomplish more using sheidim than by using kishuf. One can not create whatever he wants thru kishuf because if that were the case then one can in theory recreate the whole world. However, using sheidim one can have them collect the items that you wish to appear. For example, when it came to the makkah of tzifardeia the Egyptians could not use kishuf to create the frogs because kishuf didn't allow them to do that. Rather they had the sheidim collect the frogs and bring them to Mitzrayim. (The gemara actually implies this later on in the name of Rav Papa). Also, the reason the Egyptians were stymied by kinim is because sheidim can not collect items that are very small.
With this idea the Maharsha explains a machlokes between R' Eleazar and R' Akiva regarding how the makka of tzifardeia occurred. R' Akiva held that there was one frog and one that frog was hit other frogs came out. R' Eleazar held that that one frog croaked and called the other frogs. The Maharsha explains that R' Eleazar's objection to R' Akiva was based on his understanding of sheidim. Sheidim only have the ability to bring other objects. Therefore, it makes sense to say that it appeared as if one frog croaked and the other frogs came because in reality it was the sheidim that brought the other frogs. However, how can you say the other frogs were created from one frog? The sheidim didn't have the ability to create new objects so how would the frogs have been created.