
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
As shown in the diagram, in $\triangle ABC$, $E$ is the intersection point of $AD$ and $CF$, with $AE = ED$. Given that the area of $\triangle ABC$ is 1 and the area of $\triangle BEF$ is $\frac{1}{10}$, find the area of $\triangle AEF$.

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