on the contrary; actually/indeed the opposite or something stronger is true; used to contrast and emphasize that the following is more accurate than the previous statement.
彼は不安そうに見えた。いや、それどころかとても落ち着いていた。
He looked worried. No, on the contrary, he was very calm.
時間がかかるどころか、仕事は予定より早く終わった。
Far from taking longer, the work finished earlier than scheduled.
その案は役に立たないどころか、問題を増やした。
That proposal did not just fail to help; on the contrary, it created more problems.