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": "trapezoidal_integration", "description": "Calculates the definite integral of a function using the trapezoidal rule.", "parameters": {"func": {"description": "The function to integrate, expressed as a string (e.g., \"x**2 + 2*x\").", "type": "str", "default": 10000}, "a": {"description": "The lower limit of integration.", "type": "float", "default": 10000}, "b": {"description": "The upper limit of integration.", "type": "float"}, "n": {"description": "The number of subdivisions for the trapezoidal approximation. Defaults to 10000.", "type": "int, optional"}}}, {"name": "circle_area", "description": "Computes the area of a circle given its radius.", "parameters": {"radius": {"description": "The radius of the circle.", "type": "float"}}}, {"name": "calculate_median", "description": "Calculates the median of a list of numbers.", "parameters": {"numbers": {"description": "The list of numbers.", "type": "List[Union[int, float]]"}}}, {"name": "merge_sorted_lists", "description": "Merges two sorted lists into a single sorted list.", "parameters": {"list1": {"description": "The first sorted list.", "type": "List[int]"}, "list2": {"description": "The second sorted list.", "type": "List[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": "monthly_mortgage_payment", "description": "Calculates the monthly mortgage payment based on the loan amount, annual interest rate, and loan term.", "parameters": {"loan_amount": {"description": "The total amount of the loan.", "type": "float"}, "annual_interest_rate": {"description": "The annual interest rate as a decimal (e.g., 0.05 for 5%).", "type": "float"}, "loan_term_years": {"description": "The loan term in years.", "type": "int"}}}]
Merge two sorted lists: [1, 3, 5, 7] and [2, 4, 6, 8]
user
assistant
[{"name": "merge_sorted_lists", "arguments": {"list1": [1, 3, 5, 7], "list2": [2, 4, 6, 8]}}]