
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
A regular tetrahedron has a side length of 6 units. Inside it, another regular tetrahedron is constructed such that each vertex of the smaller tetrahedron is at the midpoint of the edges of the larger tetrahedron. Find the ratio of the volume of the smaller tetrahedron to the larger tetrahedron.

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