Mr. Martin said he recruited Ms. Schumer for the play, approaching her at a party at her house and asking her to read the script. Ms. Schumer, who once performed in a production of Mr. Martin’s earlier play, “Picasso at the Lapin Agile,” agreed, and her willingness to do the play gave it the oomph to get it to Broadway.

Reviews of the earlier productions were mixed. In The San Diego Union-Tribune, Pam Kragen called the play “a wacky exploration of love, life, death, inner selves, order, chaos and astronomical wonders” and said it was “frequently hilarious” but that it “loses its ways a bit in the second act.” But in The Los Angeles Times, Charles McNulty was more critical, saying the play “has an air of juvenilia” and comparing it to “sitcom Ionesco crossed with a ‘Saturday Night Live’ parody of Edward Albee’s ‘Who’s Afraid of Virginia Woolf?’ ”

In Connecticut, the Hartford Courant’s Christopher Arnott also praised the jokes but questioned the substance, writing, “You can’t help wishing that ‘Meteor Shower’ was a meatier show.” But in Variety, Frank Rizzo was more enthusiastic, writing that “even amid the head-scratching, it’s a pleasure watching how Martin probes the fault line of marriage, social dynamics and cultural swings.”

The director of the Broadway production, Jerry Zaks (“Hello, Dolly!”), said the script is being revised. “We’ve made adjustments, we’ve made cuts, he’s rewritten — we’ve just begun the process of trying to get the script to be everything it can be,” he said.