import java.util.*;
import java.io.*;
public class Main {
public static void main(String[] args) throws IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
Stack<Integer> stack = new Stack<Integer>();
String s = br.readLine();
String[] arr = s.split("");
int count = 0;
for(int i=0; i<arr.length; i++) {
if(arr[i].equals("(")) {
stack.push(i);
} else {
if(i-stack.peek()==1) {
stack.pop();
count += stack.size();
} else {
stack.pop();
count++;
}
}
}
System.out.println(count);
}
}