This is an Irregular Fillomino puzzle (a type at WPC 2016).
Rules (from WPC 2016 Instruction Booklet):
Divide the grid along the given lines into regions so that no two regions with the same area share an edge. Each given number must represent the area of the region it belongs to - counted in number of cells of that region, regardless of the sizes of those cells. A region may contain none, one, or more of the given numbers.