Anderson and his pace-bowling colleagues also found conditions to their liking in England's day-night tour game in Adelaide before the Ashes series.
England would be hoping for Stokes' early return, especially after their massive 10-wicket loss to the hosts at the Gabba in Adelaide on Monday.
Speculation about a head-butting incident emerged when some Australian fielders made a reference to it - picked up on an on-field microphone - in a bid to unsettle England wicketkeeper Bairstow while he was batting on Sunday.
The unbroken 173-run stand between Warner and Bancroft, who is playing his first Test, was the biggest opening partnership in a successful fourth-innings run chase in Test cricket, according to Cricinfo.
Opener David Warner (60 not out) set about the run chase cautiously in the last session on Sunday but picked up his scoring rate late to raise his 25th Test half-century with a boundary on day 4 against England.
Smith was deservedly unbeaten after an uncharacteristically slow innings that contained just 14 boundaries, including a drive off Stuart Broad to raise his 21st Test century.
Captain Smith and lower order's resistance helped Australia to gain a vital 26-run first-innings lead, post that, pacer Josh Hazlewood snared two wickets in a torrid opening burst to reduce England to 33/2 at the close of play on day 3 at the Gabba.
An 89-run partnership between captain Smith, who scored his 22nd Test half-century, and recalled No. 6 Shaun Marsh, who was unbeaten on 44, salvaged the innings after the hosts slumped to 76/4 at the start of Friday's evening session.
The right-handed Vince defied Australia's much-vaunted pace attack for most of the opening day of the series, scoring 83, almost double his previous high score in Test cricket before he was dismissed in a play-of-the-day style run out by Nathan Lyon.
Pat Cummins picked up two vital wickets to restore some confidence in Australia's pace trio after a pair of unheralded batsmen grinded through most of the opening day of the Ashes series to help England reach 196/4 at stumps.
James Vince (83) and Mark Stoneman (53) combined defiantly in their first experience of Ashes cricket to blunt the much-hyped pace attack, each posting their highest Test scores in a 125-run second-wicket stand.
Live Cricket Score, The Ashes, Australia vs England, 1st Test: Watch AUS vs ENG live cricket streaming online at sonyliv.com and Live Coverage on TV on Sony Network.
Welcoming Bolt's appointment ahead of the opening Ashes Test in Brisbane, Australian batsman Peter Handscomb informed that the Jamaican sprinter has been giving his side few pointers on how to get a little bit faster.
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