
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
Calculate:  
(1) $2^{- \frac {1}{2}} + \frac {(-4)^{0}}{\sqrt {2}} + \frac {1}{\sqrt {2}-1} - \sqrt {(1- \sqrt {5})^{0}}$;  
(2) $\log_{2}2 \cdot \log_{3} \frac {1}{16} \cdot \log_{5} \frac {1}{9}$.

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