Complex sentence: The first successful use on May 6,1943, in the end of Tunisia Campaign, was commanded by Sir Arthur Tedder and hailed by press as Tedder's bomb-carpet (or Tedder's carpet).
Split into simpler sentences: The first successful use of the technique was on May 6,1943, at the end of Tunisia Campaign. Carried out under Sir Arthur Tedder, it was hailed by press as Tedder's bomb-carpet (or Tedder's carpet).