NEW YORK—Charging across the service line, Roger Federer knifed a backhand volley into the corner, danced to cut off the angle, then spiked a high volley with such authoritative snap that the ball hopped the back wall, eluded a leaping man, and rattled around the sixth row.

An explosive Federer was so sharp tonight, even the fans had trouble running down some of his winners. The five-time U.S. Open champion hit plenty of souvenir shots in outclassing Roberto Bautista Agut, 6-4, 6-3, 6-2, to roll into the quarterfinals for the 10th time in the last 11 years.

On this day and in this round last year, another ultra-fit Spaniard, Tommy Robredo, was a road block for Federer, who was slowed by a back injury and a confidence crisis. Gliding around the court tonight, Federer turned this fourth-rounder into rush hour. With an attacking mindset from the start, Federer won 35 of 52 trips to net, downsizing the largest Grand Slam stadium court in the world and rushing an increasingly harried opponent into errors.

Looking fit and playing fast, Federer was eager to take the match to Bautista Agut in his Arthur Ashe Stadium debut. The 17th seed is a clean ball striker who hits a firm, flat ball. But Bautista Agut is limited by the fact he plays linear tennis—he lacks the spin to produce the sharp angles Federer can create—and that made him an ideal foil for the Swiss, who mixed spins masterfully to stretch his opponent and close with conviction at net.

Streaking out to a 5-1 lead, Federer earned set point, but Bautista Agut saved it, holding with an angled forehand drop shot. That challenging sequence sparked a burst, as Bautista Agut earned triple break point in the ensuing game. Federer saved the first two, but a stretched return into the corner coaxed an error as Bautista Agut broke for 3-5. Serving for the set for a second time, Federer didn't blink, plastered successive aces to seal the 43-minute opener. Forward thinking was evident in the fact Federer won 15 of 21 trips to net in the set.

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U.S. Open: Federer d. Bautista Agut

U.S. Open: Federer d. Bautista Agut

Aggressive court positioning and fluid movement helped Federer use his feet to pressure areas. When he wasn't rushing net, Federer was stepping inside the baseline, robbing Bautista Agut of reaction time and drawing a series of errors to break for a 2-1 second-set advantage. Federer then fought off a break point to consolidate for 3-1. The 17-time Grand Slam champion's comfort level from all areas of the court was clear when he flicked a lob, eliciting a failed tweener attempt from his opponent, then cracked a dipping pass to coax a netted volley in breaking for a two-set lead.

To his credit, Bautista Agut continued to bang away from the baseline, but failed to convert any of his three break points in the final set. When Bautista Agut buried one final forehand into net, Federer wrapped up the one-hour and 56-minute victory to set up a quarterfinal clash with Gael Monfils. The acrobatic French showman has not surrendered a set in the tournament. Federer has won seven of their nine prior meetings, including a 6-4, 4-6, 6-3 victory in Cincinnati last month.

"I used to serve-and-volley some myself when conditions were faster; I'm happy I'm able to come forward now," Federer told ESPN's Brad Gilbert immediately after the match. "It requires a lot of agility and explosivity and I'm happy I have it back."