It may be better than you think! You may have been booked in revenue Biz. That generates a 25% bonus which means 1,000 miles JFK - ZRH plus the 500 or more miles from the extra segment (if it was a DL coded flight to ZRH). Even if you didn't get that, you got the ZRH - JFK double miles promotion.
Were you bumped to accomodate a Biz class pasenger or was it because they oversold coach?
CM