Smith said he missed his location on the fateful slider by "a lot. About 428 feet, I think. ... Every time I miss, he's on it. That's what good hitters do. I missed and he got me. We'll battle again in about a week."
Mike Trout hit his 27th homer in the eighth for the Angels, matching his total from last season.
Both teams needed strong starts, and both pitchers came through.
Hector Santiago threw six scoreless innings of two-hit ball for the Angels, allowing just one runner to reach third.
De La Rosa (4-4) was even better in his first victory in four starts. With Dan Butler making his major league debut at catcher, De La Rosa had eight strikeouts and blanked the Angels until Trout's homer on his 110th pitch.
"I had a rhythm, and I was really confident," De La Rosa said.
Koji Uehara pitched the ninth for his 25th save, striking out pinch-hitter Josh Hamilton with a runner on as Boston took two of three from the powerful Angels.
NOTES: De La Rosa got more rest than his teammates because he left the ballpark while the 19-inning game was still going. He didn't put it on television at the hotel, either: "I fell asleep."... Kelly Johnson made his Boston debut, playing first base. The former Yankees third baseman was activated from the disabled list on Thursday. ... Boston's Joe Kelly (0-0, 1.29) opens an interleague series in Cincinnati on Tuesday.
OUT UNTIL 2016: Angels left-hander Tyler Skaggs will undergo Tommy John surgery to repair a torn ulnar collateral ligament in his elbow, the team announced.
He is expected to all of next season while recovering from the surgery.
Skaggs said Sunday he chose surgery over rehabilitation because he thinks it's the best thing for his career. He said he plans to skip next season, instead coming back fresh for 2016.
He was hurt July 31 in a 1-0, 13-inning win at Baltimore. The left-hander had not allowed a hit when he left with two outs in the fifth. He was 5-5 with 4.30 ERA in 18 starts.
JAYS 6, TIGERS 5 (19): A day after the Boston-LA 19-inning marathon, Detroit and Toronto repeated it in the Jays' 6-5 win. Jose Bautista's single in the 19th inning drove home the winning run as Toronto rallied from a 5-0 deficit.
Munenori Kawasaki singled off Rick Porcello (13-7) to begin the 19th and advanced to third when second baseman Ian Kinsler couldn't field an errant throw from Porcello on Jose Reyes' sacrifice bunt. Melky Cabrera was intentionally walked to load the bases for Bautista, who ended it with a single to right over the drawn-in outfield, sending his teammates streaming out of the dugout in celebration.
Porcello, who threw 110 pitches over seven innings against the Yankees on Thursday, worked two innings out of the bullpen as the Tigers used eight pitchers.
INDIANS 4, YANKEES 1: In New York, Carlos Carrasco rejoined the Cleveland rotation in fine fashion by pitching five dominant innings and the Indians nearly tossed another shutout at Yankee Stadium, beating New York 4-1 Sunday.
Jacoby Ellsbury homered with two outs in the ninth off Indians closer Cody Allen, ending New York's season-worst scoreless streak at 19 innings. The shot let the Yankees avoid a dubious distinction -- not since 1999 had they been blanked in two straight games, STATS said.
Jason Kipnis got three hits and scored three runs as the Indians finished 4-3 against New York -- only twice in the last 22 years has Cleveland taken the season matchup.
A day after Cleveland pitchers combined on a five-hit shutout and struck out 15 Yankees, Carrasco (4-4) and four relievers threw another five-hitter. Also Saturday, Yankee shortstop Derek Jeter passed another legendary shortstop, Honus Wagner, on the career hits list with 3,431, getting an infield single to move into sixth place all time. Moving up to fifth will be difficult as he needs 84 hits to catch Tris Speaker at 3,515.