
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
Let $y_{1}=4^{0.9}, y_{2}=\log_{\frac{1}{2}}5, y_{3}=\left(\frac{1}{2}\right)^{-1.5}$. Determine the order of magnitude of $y_{1}$, $y_{2}$, and $y_{3}$.

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