Is emplace always efficient than insert when adding an element into a map?

Question

In my thought, emplace is always a better option than insert, because in some case emplace could save one time of ctor and in other cases it could directly replace insert with the same invoking form.

But now I have a map and add an element into it with insert with initialize_list

map<string, map<int,int>> m1;
if (auto it = m1.find("c1"); it == m1.end()){
    m1.insert({ "c1", {{10, 1}} });
}

But with emplace I could not think of any way that as consice as insert and still get the benifits what emplace provides.Like below? It would be ill-formed and compiles in error.

auto [it, inserted] = m1.try_emplace("c1", 10, 1);

So how to emplace in my case? And is it true that emplace is always better than insert?