
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the function $y=(2^x-2)^2+(2^{-x}+2)^2$, transform it into a quadratic function $y=t^2-4t+m$ ($m$ is a constant) by substituting $t=\phi(x)$ and express $\phi(x)$.

Present the answer in LaTex format: \boxed{Your answer}
user