这句话行不通的,首先I would have gone shopping with you.
have gone shopping是对的,但前面有would在,和起来就不对了,but I did so tired that I went to bed quite early.
用did在这里是行不通的,因为这句话的意思是我很累.所以应该是I was so tired,然后后面用that也不好,应该是because,而且早睡会累的话这也说不通,我觉得这句话应该是
I will go shopping with you,but I was so tired because I went to bed quite late.