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"}}}]
Could you find the number of set bits in 1024 and the derivative of the square root function at x = 4?
user
assistant
[{"name": "count_bits", "arguments": {"num": 1024}}, {"name": "numerical_derivative", "arguments": {"function": "lambda x: math.sqrt(x)", "x": 4}}]