"No Regrets" / "Antmusic" became another top-five hit for Williams in the United Kingdom. "Antmusic" was also featured on the UK trailer to the Pixar animated film A Bug's Life (1998). One of the B-sides, "Sexed Up", was later re-recorded for the Escapology album and released as a single in 2003.
The video has Robbie Williams at first performing in a Vegas-like show. He then realises he cannot fake being happy and leaves the stage. He walks to a petrol station (which is in Hurley opposite the former East Arms Pub), gets some petrol in a jerry can, and begins walking through crowds and over roads, dribbling petrol in a line the whole way. Finally, a spark is dropped at the petrol station and lights up the whole trail as Williams narrates the last lines.
^No Regrets / Antmusic (UK cassette single sleeve). Robbie Williams. Chrysalis Records. 1998. TCCHS 5100, 7243 8 86419 4 4.{{cite AV media notes}}: CS1 maint: others in cite AV media (notes) (link)
^No Regrets (UK CD2 liner notes). Robbie Williams. Chrysalis Records. 1998. CDCHSS 5100, 7243 8 86421 0 1.{{cite AV media notes}}: CS1 maint: others in cite AV media (notes) (link)
^No Regrets / Antmusic (UK 7-inch single sleeve). Robbie Williams. Chrysalis Records. 1998. CHS 5100.{{cite AV media notes}}: CS1 maint: others in cite AV media (notes) (link)
^No Regrets (European CD single liner notes). Robbie Williams. Chrysalis Records. 1998. 7243 8 86398 2 8.{{cite AV media notes}}: CS1 maint: others in cite AV media (notes) (link)
^No Regrets (European maxi-CD single liner notes). Robbie Williams. Chrysalis Records. 1998. 7243 8 86399 0 3.{{cite AV media notes}}: CS1 maint: others in cite AV media (notes) (link)
^No Regrets (French CD single liner notes). Robbie Williams. Chrysalis Records. 1998. 7243 8 86399 2 7.{{cite AV media notes}}: CS1 maint: others in cite AV media (notes) (link)