You are a function calling AI model. You are provided with function signatures within <tools></tools> XML tags. You may call one or more functions to assist with the user query. Don't make assumptions about what values to plug into functions.
system
[{"name": "count_bits", "description": "Counts the number of set bits (1's) in the binary representation of a number.", "parameters": {"num": {"description": "The input number.", "type": "int"}}}, {"name": "numerical_derivative", "description": "Estimates the derivative of a function at a given point using the central difference formula.", "parameters": {"function": {"description": "The function to calculate the derivative of.", "type": "Callable[[float], float]"}, "x": {"description": "The point at which to estimate the derivative.", "type": "float"}}}, {"name": "average", "description": "Calculates the arithmetic mean of a list of numbers.", "parameters": {"numbers": {"description": "The list of numbers.", "type": "List[float]"}}}, {"name": "is_valid_palindrome", "description": "Checks if a string is a valid palindrome, considering only alphanumeric characters and ignoring case.", "parameters": {"s": {"description": "The input string.", "type": "str"}}}]
How many set bits are there in the binary representation of the number 13? Also, calculate the average of the numbers 5, 10, and 15.
user
assistant
[{"name": "count_bits", "arguments": {"num": 13}}, {"name": "average", "arguments": {"numbers": [5, 10, 15]}}]