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#include <iostream>

#include <vector>
    #include <random>
    #include <chrono>
    #include <algorithm>

struct A {
        A(int i = 0) : i(i) {}
        int i;
        static int nSwaps;

friend void swap(A& l, A& r)
        {
            ++nSwaps;
            std::swap(l.i, r.i);
        }

bool operator<(const A& r) const
        {
            return i < r.i;
        }
    };

int A::nSwaps = 0;

using std::chrono::high_resolution_clock;
    using std::chrono::duration_cast;
    using std::chrono::milliseconds;

int main()
    {
        std::vector<A> v(10000000);
    
        std::minstd_rand gen(std::random_device{}());
        std::generate(v.begin(), v.end(), [&gen]() {return gen();});
    
        auto s = high_resolution_clock::now();
        std::sort(v.begin(), v.end());
        std::cout << duration_cast<milliseconds>(high_resolution_clock::now() - s).count() 
            << "ms with " << A::nSwaps << " swaps\n";
    
        A::nSwaps = 0;
        s = high_resolution_clock::now();
        std::shuffle(v.begin(), v.end(), gen);
        std::cout << duration_cast<milliseconds>(high_resolution_clock::now() - s).count() 
            << "ms with " << A::nSwaps << " swaps\n";
    }

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Compilation time: 0.83 sec, absolute running time: 1.64 sec, cpu time: 1.57 sec, memory peak: 40 Mb, absolute service time: 2.48 sec