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": "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": "cagr", "description": "Calculates the Compound Annual Growth Rate (CAGR) of an investment.", "parameters": {"start_value": {"description": "The initial value of the investment.", "type": "float"}, "end_value": {"description": "The final value of the investment.", "type": "float"}, "years": {"description": "The number of years between the initial and final values.", "type": "int"}}}, {"name": "is_perfect_square", "description": "Checks if a number is a perfect square.", "parameters": {"num": {"description": "The number to check.", "type": "int"}}}]
An investment had an initial value of $5000 and a final value of $8000 over 10 years. Calculate the CAGR and determine if the CAGR is a perfect square.
user
assistant
[{"name": "cagr", "arguments": {"start_value": 5000, "end_value": 8000, "years": 10}}, {"name": "is_perfect_square", "arguments": {"num": "cagr(start_value=5000, end_value=8000, years=10)"}}]