The levitation machine or levitator is a Blue Eco device created by the Blue Sage to lift the boulder blocking the pathway to Klaww in Jak and Daxter: The Precursor Legacy. Like any device seen in The Precursor Legacy, it uses Power Cells as its main power source. It is unknown just how long it took him to build, but from the looks of it, the Blue Sage finished it pretty fast due to the boulder only having recently been thrown down.
It's easy to notice that the Blue Sage created it, as only a mechanical genius could construct such machinery. It also has the same typical 'appendages' as the Blue Sage's helmet suggesting that the Blue Sage can power it.
The machine could have also been used to have an unlimited amount of Blue Eco as the boulder is still levitating at the end of the game considering the amount of cells it took to power the thing. The machine could also possibly have other uses but it is never used for anything other than lifting the flaming boulder. There's a smaller version in the Blue Sages house, on his ceiling which is possibly the Sage's prototype to the one seen outside.