If $\tan^{-1} x + \tan^{-1} y = \frac{\pi}{4},$ then compute $xy + x + y.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $\tan^{-1} x + \tan^{-1} y = \frac{\pi}{4},$ then compute $xy + x + y.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1
If $\tan^{-1} x + \tan^{-1} y = \frac{\pi}{4},$ then compute $xy + x + y.$
train