A new documentary on rock iconCarlos Santanabegins with the legendary philosopher-guitarist asking a simple question: “Do you believe in magic?”

“Magic. Not tricks — the flow of grace,” he says.

You may be convinced you do by the time you finish the 87-minute film by director Rudy Valdez, which presents an intimate portrait of a man with a magical ability and a story told with few tricks.

“Carlos”is a traditional linear tale, tracing Santana’s formative years in Tijuana, Mexico, his set at Woodstock in 1969, his relentless touring and dive into spirituality, climaxing with his triumphant 1999 “Supernatural” album.

It’s lovingly told, and intimate. There is the first known recording of a 19-year-old Santana in 1966 — already a guitar master with a familiar, blistering style — and one later in life in which he delights his children behind a couch with sock puppets.

But some of the most powerful images are several old homemade clips Santana made himself, alone at home just jamming. It’s like hearing the magic flow straight from the source, watching unfiltered genius work while his guitar gently wails.

Valdez uses various images almost like a collage to capture his subject — talk show clips, old concerts and newly conducted interviews with the master, one at sundown with the icon beside a fire. The only forced bit is a roundtable of Santana’s wife and sisters.

A highlight is watching Santana and his band play in the rain during 1982’s Concert for the Americas in the Dominican Republic. Other directors might show a short clip, but Valdez lets it play long, which is a real treat for fans.

We see Santana grow up with a violinist father and a fierce mother, who became mesmerized by the blues-rock of Ray Charles, B.B. King and Little Richard. He was pressing tortillas at a diner in San Francisco in the late 1960s — he calls the city a “vortex of newness” — and would go to the Fillmore to listen to theGrateful DeadorCountry Joeand the Fish.

After being busted trying to sneak into the legendary venue without paying, impresario Bill Graham was so impressed by this skinny guitarist that he invited him to open for the Who, Steve Miller and Howling Wolf.

At Woodstock — he and his band wouldn’t have their debut album out for months more — Santana hits the stage very high by accident (thanks, Jerry Garcia) and says a little prayer: “God, I know you’re here. Please keep me in time and in tune.” Throughout his set, Santana seems to be wrestling the neck of his guitar, which to him resembled a snake.

His first royalty check was spent on a home and a refrigerator for Mom, fulfilling a promise. “It’s better than Grammys and Oscars and Heisman Trophies. It feels better than anything,” he says in the documentary.

Inevitably, the fall comes, with the drugs and overindulgence. Shocked by the deaths of Jimi Hendrix and Janis Joplin, Santana decides he must choose between heroin or spiritual meditation. He picks the latter, dresses in white, eats healthy, turns to jazz and decides to “surf the cosmos of imagination.”

With enduring hits like “Oye Como Va” and “Black Magic Woman,”Santana was voted into the Rock & Roll Hall of Famein 1998, the first person of Hispanic heritage to be inducted.

But he wasn’t done yet. “This Earth time is an illusion,” he argues, after all.

“Supernatural,” which arrived in 1999 during a Latin pop explosion, won a total of nine Grammys with such hits as “Smooth,” “Put Your Lights On” and “Maria Maria.” He is called a second-act king. Man, he’s a hot one.

Valdez shows real style illustrating that Santana’s bands were far from stable when it came to its lineups — he cleverly shows various different singers belt out the same section of “Black Magic Woman” live — and captures Santana today watching an old concert he did with his late dad. “He’s proud of me and I’m proud of him. And I miss him,” he tells the camera.

Santana deserves to be on the Mount Rushmore of rock, and that’s why in so many ways “Carlos” is a corrective to the thinking of people likeJann Wenner, co-founder of Rolling Stone, who overlooked Santana for his new book of transcendent rockers, “The Masters.” A master is hiding in plain sight.