Green’s Dictionary of Slang

side-splitting adj.

extremely funny; also as n.; thus side-splittingly adv.

S. Mordecai Virginia in By-gone Days 188: These among other side-splitting tales, which he told and acted with the skill of a Matthews.
[Ire]Dublin Wkly Nation 29 Oct. 1/2: The side-splitting anecdotes of Dean Swift and his Witty man.
[UK]Daily Tel. 27 Dec. n.p.: This [...] past master of the art of side-splitting [OED].
[UK]J. Payn Notes from ‘News’ 166: Of course, ‘Greek Wit’ is not always of this side-splitting description.
[Ire]Irish Indep. (Dublin) 26 Oct. 4/1: Read the Side-Splitting Adventures of Darby Durken, P.L.G.
A. Bennett ‘The Lions Share’ in Matador of Five Towns 244: In the Five Towns the following history is [...] something side-splittingly funny—one of the best jokes that ever occurred.
[UK]Hull Dly Mail 20 May 3/4: Side-splitting [...] ‘My dear, I laughed so hard that [etc]’.
[UK]Era (London) 5 Mar. 9/2: A jolly, preposterous, side-splitting story.
[UK]Birmingham Dly Gaz. 15 July 2/7: A side-splitting farce.
[UK]K. Amis letter 23 Jan. in Leader (2000) 363: ‘Kingsley Amis’s uproarious, side-splitting, tear-jerking, cock-standing’ etc.
[UK]Daily Tel. 6 Aug. 6/2: The reader is [...] given an at times side-splittingly funny account of the eccentricities of Frazer and his wife [OED].
[UK]Guardian Guide 4–10 Sept. 18: Literary references that punters with an A-level knowledge of the classics found side-splitting.
Springfield News-Leader (MO) 23 June W9/1: Nonstop plot twists, side-splitting dialogue [...] add to the zany fun.