
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
In square $PQRS$, point $X$ is the midpoint of side $PQ$ and point $Y$ is the midpoint of side $QR$. If point $Z$ is the midpoint of segment $PY$, find the ratio of the area of triangle $PXZ$ to the area of square $PQRS$.

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