YOU SAID:

I am eating the dog while the dog eats me.

INTO JAPANESE

犬が私を食べている間、私は犬を食べています。

BACK INTO ENGLISH

I am eating a dog while a dog is eating me.

INTO JAPANESE

犬が私を食べている間に、私は犬を食べています。

BACK INTO ENGLISH

While the dog is eating me, I am eating the dog.

INTO JAPANESE

犬が私を食べている間、私は犬を食べています。

BACK INTO ENGLISH

I am eating a dog while a dog is eating me.

INTO JAPANESE

犬が私を食べている間に、私は犬を食べています。

BACK INTO ENGLISH

While the dog is eating me, I am eating the dog.