C++ function pointer works but std::function not - c++

Question

I'm going to make a benchmark function, which measures the elapsed time of given function execution and returns execution result and elapsed time.
template <typename TResult>
struct BenchmarkResult{
TResult result;
const long elapsed;
};
template <typename Ratio, typename TResult, typename... TParams>
BenchmarkResult<TResult> benchmark(TResult (*function)(TParams...), TParams ...params){
using namespace std::chrono;
const auto begin = high_resolution_clock::now();
auto result = function(std::forward<TParams>(params)...);
const auto end = high_resolution_clock::now();
return { std::move(result), duration_cast<Ratio>(end - begin).count() };
}
And for example,
int sleep(int seconds){
using namespace std::chrono_literals;
std::this_thread::sleep_for(1s);
return seconds * 1e6; // return the given second in microsecond unit
}
// (implement above code)
int main(){
auto [elapsed_us, elapsed_ms] = benchmark<std::chrono::milliseconds>(sleep, 1);
std::cout << "Elapsed ms: " << elapsed_ms << " Elapsed us: " << elapsed_us;;
return 0;
}
Will output like
Elapsed ms: 1005 Elapsed us: 1000000
My goal is to change the argument type like BenchmarkResult<TResult> benchmark(std::function<TResult(TParams...)> function, TParams ...params). But it does not works for the above example in the latest C++ version.
The compiler says,
/main.cpp: In function 'int main()':
/main.cpp:76:73: error: no matching function for call to 'benchmark<std::chrono::milliseconds>(int (&)(int), int)'
76 | auto [elapsed_us, elapsed_ms] = benchmark<std::chrono::milliseconds>(sleep, 1);
| ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~
/main.cpp:54:26: note: candidate: 'template<class Ratio, class TResult, class ... TParams> BenchmarkResult<TResult> benchmark(std::function<TResult(TParams ...)>, TParams ...)'
54 | BenchmarkResult<TResult> benchmark(std::function<TResult(TParams...)> function, TParams ...params){ // TODO: use std::function instead of function pointer
| ^~~~~~~~~
/main.cpp:54:26: note: template argument deduction/substitution failed:
/main.cpp:76:73: note: mismatched types 'std::function<TResult(TParams ...)>' and 'int (*)(int)'
76 | auto [elapsed_us, elapsed_ms] = benchmark<std::chrono::milliseconds>(sleep, 1);
How can I achieve this?