
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 a regular quadrilateral prism \(A B C D - A_{1} B_{1} C_{1} D_{1}\) with a base edge length of 2 and a lateral edge length of 4, where \(E\) is the midpoint of edge \(CD\) and \(F\) is the midpoint of edge \(AA_1\), find the distance from point \(D\) to plane \(EFB_1\).

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