New operator definitions 2

Given the definition of two new operators, evaluate an expression that contains that operator.

Problem

The operations $\barwedge$ and $\odot$ are defined as follows:
• $x \barwedge y = 2x^{2}-y^{2}$
• $x \odot y = x^{2}-3y^{2}$
Find $0 \barwedge (3 \odot 1)$.