"reflect precisely" is correct and can be used in written English.
It is used to mean accurately or exactly reflect something. Example: The data collected by the researcher reflects precisely the current state of the economy.
And the text is constructed around a wealth of anecdotes that reflect precisely that.
But it seems, in 2017, to reflect precisely what he has had in mind all along.
Or should schools reflect precisely the neighborhoods that surround them, even if that means aligning with segregated housing patterns?
His secretary, Debbie Regan, was, in turn, careful to reflect precisely his language when transcribing his dictation.
And such decisions reflect precisely the paradoxical, open-minded virtue of traditional liberalism that he describes in the book and that graces its pages.
Gideon Meir, deputy director general of the Foreign Ministry, said any plan that would "reflect precisely the presidential vision will be an important tool to implement the speech" of June 24.
The original music score, a compelling concoction of styles that continually surprises, reflects precisely those feelings.
It reflects precisely in its disorienting rhythms and colors the range of perceptions embedded in the monologue.
Unsuitable for song as well as sense the island flowers into slums and skyscrapers, reflecting precisely the growth of my mind.
Their attitude reflects precisely the sort of American pragmatism that Winston Churchill, whom they quoted in their their letter, would have admired.
The nature of the legal claims against the health-care law also reflected precisely the kind of "structural" arguments that Leo puts at the heart of his legal philosophy.
