
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
Compute the following expression:
$$\frac{1}{\sqrt{0.25}} + \left(\frac{1}{27}\right)^{-\frac{1}{3}} + \sqrt{(\log_3 3)^2 - \log_3 9 + 1} - \log_3 \frac{1}{3} + 81^{0.5 \log_3 5}.$$

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