непонятно считает количество вызовов рекурсивной функции

#include <iostream>
#include <fstream>
#include <conio.h>
#include <cmath>
 
using namespace std;
 
int n1 = 0;
 
int fact(int i);
 
double facta(double a, int n);
 
double value_func(double &x, double &a);
 
double sum_without_rec(double &x, double &eps, double &a);
 
double sum_with_rec(double x, const double &eps, double &a, int i, double &sum, int &n);
 
void output(double x,double x_l, double a, double eps, double dx, double(*sum_w_rec)(double x, const double &eps, double &a, int i, double &sum, int &n), double(*sum_wt_rec)(double &x, double &eps, double &a));
 
 
int main(int argc, char ** argv)
{
    setlocale(LC_ALL, "Russian");
 
    double eps = 0.000001, dx = 0.2, a = 4;
    double x_f = -1, x_l = 1;
 
 
    output(x_f,x_l,a,eps,dx,sum_with_rec,sum_without_rec);
 
    cin.get();
    return 0;
}
 
int fact(int i)
{
    if (i == 1) return 1;
    else return i*fact(i - 1);
}
 
double facta(double a, int n)
{
    if (n == 1) return a;
    else return (a - n + 1)*facta(a, n - 1);
}
 
double value_func(double &x, double &a)
{
    return pow(1 + x, a);
}
 
double sum_without_rec(double &x, double &eps, double &a)
{
    int i = 1;
    double sum = 1;
    if (value_func(x, a) == 0) sum = 0;
    else
        while (fabs(value_func(x, a) - sum) > eps)
        {
            sum += (facta(a,i) / fact(i))*pow(x, i);
            i++;
        }
    return sum;
}
 
double sum_with_rec(double x, const double &eps, double &a, int i, double &sum, int &n)
 
{
    if (value_func(x, a) == 0) return 0;
    if (value_func(x, a) == 1) return 1;
    if (fabs(value_func(x, a) - sum) > eps) 
    {
        sum += (facta(a, i) / fact(i))*pow(x, i);
        sum_with_rec(x, eps, a, i + 1, sum, n);
        n++;
        n1 = n;
        return sum;
    }
    else
    {
        return 0;
    }
}
 
void output(double x,double x_l , double a, double eps, double dx, double(*sum_w_rec)(double x, const double &eps, double &a, int i, double &sum, int &n), double(*sum_wt_rec)(double &x, double &eps, double &a))
{
    double sum_with = 1;
    int n = 0;
    x += dx;
    while (x <= x_l)
    {
        cout.setf(ios_base::fixed, ios_base::floatfield);
        cout.precision(1);
        cout << x << "\t";
        cout.precision(4);
        cout << value_func(x, a) << "\t" << sum_wt_rec(x, eps, a) << "\t" << sum_w_rec(x, eps, a, 1, sum_with, n) << "\t" << n1 << endl;
        n = 0;
        sum_with = 1;
        x += dx;
    }
}

#include <iostream>
int func(int& x) {
    return ++x;
}
int x = 0;
int main(int argc, char ** argv) {
    std::cout << func(x) << x;
    return 0;
}