
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
If for any $x$ in a set $A$, $\frac{1}{x}$ is also in $A$, then $A$ is called a companion relationship set. For the set $M=\{-1, 0, \frac{1}{3}, \frac{1}{2}, 1, 2, 3, 4\}$, calculate the number of non-empty subsets that are companion relationship sets.

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