
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
Xiaoming is solving a problem: Given $a= \frac{1}{2+ \sqrt{3}}$, find the value of $2a^2-8a+1$. He analyzed and answered the problem in the following way:
Since $a= \frac{1}{2+ \sqrt{3}} = \frac{2- \sqrt{3}}{(2+ \sqrt{3})(2- \sqrt{3})} = 2- \sqrt{3}$,
then $a-2= -\sqrt{3}$.
So, $(a-2)^2=3$, which means $a^2-4a+4=3$.
Thus, $a^2-4a=-1$.
Therefore, $2a^2-8a+1=2(a^2-4a)+1=2(-1)+1=-1$.
Based on Xiaoming's analysis process, solve the following problem: If $a= \frac{1}{\sqrt{2}-1}$, find the value of $4a^2-8a-3$.

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