
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
The equivalent ordinary equation of the parametric equation \[
\begin{cases} 
x= \sqrt {t} \\
y=2 \sqrt {1-t}
\end{cases}
\]
(where $t$ is the parameter) is $x^{2}+ \dfrac {y^{2}}{4}=1$.

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