teddyyyy123/bfcl_v3 huggingface dataset:
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'light_travel_time', 'description': 'Calculate the time taken for light to travel from a celestial body to another. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'distance_in_light_years': {'type': 'integer', 'description': 'The distance between the two celestial bodies in light years.'}, 'speed_of_light': {'type': 'integer', 'description': 'The speed of light in vacuum, in m/s. Default value is 299792458 m/s.'}}, 'required': ['distance_in_light_years']}}]


user: How much time will it take for the light to reach earth from a star 4 light years away?

Available functions:
[{"name": "light_travel_time", "description": "Calculate the time taken for light to travel from a celestial body to another.", "parameters": {"type": "dict", "properties": {"distance_in_light_years": {"type": "integer", "description": "The distance between the two celestial bodies in light years."}, "speed_of_light": {"type": "integer", "description": "The speed of light in vacuum, in m/s. Default value is 299792458 m/s."}}, "required": ["distance_in_light_years"]}}]

Ground-truth function call:
[{"light_travel_time": {"distance_in_light_years": [4], "speed_of_light": [299792458, ""]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_speed', 'description': 'Calculate the speed of an object based on the distance travelled and the time taken. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'distance': {'type': 'integer', 'description': 'The distance the object travelled in meters.'}, 'time': {'type': 'integer', 'description': 'The time it took for the object to travel in seconds.'}, 'to_unit': {'type': 'string', 'description': 'The unit in which the speed should be calculated, default is m/s.'}}, 'required': ['distance', 'time']}}]


user: Calculate the speed of an object in km/h if it traveled 450 meters in 20 seconds.

Available functions:
[{"name": "calculate_speed", "description": "Calculate the speed of an object based on the distance travelled and the time taken.", "parameters": {"type": "dict", "properties": {"distance": {"type": "integer", "description": "The distance the object travelled in meters."}, "time": {"type": "integer", "description": "The time it took for the object to travel in seconds."}, "to_unit": {"type": "string", "description": "The unit in which the speed should be calculated, default is m/s."}}, "required": ["distance", "time"]}}]

Ground-truth function call:
[{"calculate_speed": {"distance": [450], "time": [20], "to_unit": ["km/h"]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_distance', 'description': 'Calculate the distance between two celestial bodies. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'body1': {'type': 'string', 'description': 'The first celestial body.'}, 'body2': {'type': 'string', 'description': 'The second celestial body.'}, 'unit': {'type': 'string', 'description': "The unit of measurement, default is 'km'."}}, 'required': ['body1', 'body2']}}]


user: What's the distance in milesfrom the Earth to the Moon?

Available functions:
[{"name": "calculate_distance", "description": "Calculate the distance between two celestial bodies.", "parameters": {"type": "dict", "properties": {"body1": {"type": "string", "description": "The first celestial body."}, "body2": {"type": "string", "description": "The second celestial body."}, "unit": {"type": "string", "description": "The unit of measurement, default is 'km'."}}, "required": ["body1", "body2"]}}]

Ground-truth function call:
[{"calculate_distance": {"body1": ["Earth"], "body2": ["Moon"], "unit": ["mi", "miles", "mile"]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'mathematics.calculate_area_under_curve', 'description': 'Calculate the area under the curve for a given polynomial function within a specified interval. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'polynomial': {'type': 'array', 'items': {'type': 'float'}, 'description': 'The coefficients of the polynomial, in decreasing order of exponent, where the first element is the coefficient for x^n, the second element is the coefficient for x^(n-1), and so on. The last element is the constant term.'}, 'limits': {'type': 'array', 'items': {'type': 'float'}, 'description': 'A list of two numbers specifying the lower and upper limit for the integration interval.'}}, 'required': ['polynomial', 'limits']}}]


user: Calculate the area under the curve y=3x^2 + 2x - 4, between x = -1 and x = 2.

Available functions:
[{"name": "mathematics.calculate_area_under_curve", "description": "Calculate the area under the curve for a given polynomial function within a specified interval.", "parameters": {"type": "dict", "properties": {"polynomial": {"type": "array", "items": {"type": "float"}, "description": "The coefficients of the polynomial, in decreasing order of exponent, where the first element is the coefficient for x^n, the second element is the coefficient for x^(n-1), and so on. The last element is the constant term."}, "limits": {"type": "array", "items": {"type": "float"}, "description": "A list of two numbers specifying the lower and upper limit for the integration interval."}}, "required": ["polynomial", "limits"]}}]

Ground-truth function call:
[{"mathematics.calculate_area_under_curve": {"polynomial": [[3.0, 2.0, -4.0]], "limits": [[-1.0, 2.0]]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'geometry.area_triangle', 'description': 'Calculate the area of a triangle. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'base': {'type': 'integer', 'description': 'The length of the base of the triangle.'}, 'height': {'type': 'integer', 'description': 'The height of the triangle from the base.'}, 'unit': {'type': 'string', 'description': 'The measurement unit for the area. Defaults to square meters.'}}, 'required': ['base', 'height']}}]


user: Calculate the area of a triangle with base 6 and height 10.

Available functions:
[{"name": "geometry.area_triangle", "description": "Calculate the area of a triangle.", "parameters": {"type": "dict", "properties": {"base": {"type": "integer", "description": "The length of the base of the triangle."}, "height": {"type": "integer", "description": "The height of the triangle from the base."}, "unit": {"type": "string", "description": "The measurement unit for the area. Defaults to square meters."}}, "required": ["base", "height"]}}]

Ground-truth function call:
[{"geometry.area_triangle": {"base": [6], "height": [10], "unit": ["", "square meters"]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'math.power', 'description': 'Calculate the power of one number raised to another. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'base': {'type': 'integer', 'description': 'The base number.'}, 'exponent': {'type': 'integer', 'description': 'The exponent.'}, 'mod': {'type': 'integer', 'description': 'The modulus. Default is 1. Calculates pow(base, exponent) % mod when provided.'}}, 'required': ['base', 'exponent']}}]


user: Calculate the power of 3 raised to the power 4.

Available functions:
[{"name": "math.power", "description": "Calculate the power of one number raised to another.", "parameters": {"type": "dict", "properties": {"base": {"type": "integer", "description": "The base number."}, "exponent": {"type": "integer", "description": "The exponent."}, "mod": {"type": "integer", "description": "The modulus. Default is 1. Calculates pow(base, exponent) % mod when provided."}}, "required": ["base", "exponent"]}}]

Ground-truth function call:
[{"math.power": {"base": [3], "exponent": [4], "mod": ["", 1]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'train_random_forest_classifier', 'description': 'Train a Random Forest classifier with the specified parameters. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'dataset': {'type': 'string', 'description': 'The dataset to train the classifier on.'}, 'max_depth': {'type': 'integer', 'description': 'The maximum depth of the trees in the forest.'}, 'n_estimators': {'type': 'integer', 'description': 'The number of trees in the forest.'}}, 'required': ['dataset', 'max_depth', 'n_estimators']}}]


user: Train a random forest classifier on dataset your_dataset_name with maximum depth of trees as 5, and number of estimators as 100.

Available functions:
[{"name": "train_random_forest_classifier", "description": "Train a Random Forest classifier with the specified parameters.", "parameters": {"type": "dict", "properties": {"dataset": {"type": "string", "description": "The dataset to train the classifier on."}, "max_depth": {"type": "integer", "description": "The maximum depth of the trees in the forest."}, "n_estimators": {"type": "integer", "description": "The number of trees in the forest."}}, "required": ["dataset", "max_depth", "n_estimators"]}}]

Ground-truth function call:
[{"train_random_forest_classifier": {"dataset": ["your_dataset_name"], "max_depth": [5], "n_estimators": [100]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_bmi', 'description': 'Calculate the Body Mass Index (BMI) for a person based on their weight and height. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'weight': {'type': 'integer', 'description': 'The weight of the person in kilograms.'}, 'height': {'type': 'integer', 'description': 'The height of the person in centimeters.'}, 'system': {'type': 'string', 'description': "The system of units to be used, 'metric' or 'imperial'. Default is 'metric'."}}, 'required': ['weight', 'height']}}]


user: Calculate the Body Mass Index for a person with a weight of 70 kg and a height of 175 cm.

Available functions:
[{"name": "calculate_bmi", "description": "Calculate the Body Mass Index (BMI) for a person based on their weight and height.", "parameters": {"type": "dict", "properties": {"weight": {"type": "integer", "description": "The weight of the person in kilograms."}, "height": {"type": "integer", "description": "The height of the person in centimeters."}, "system": {"type": "string", "description": "The system of units to be used, 'metric' or 'imperial'. Default is 'metric'."}}, "required": ["weight", "height"]}}]

Ground-truth function call:
[{"calculate_bmi": {"weight": [70], "height": [175], "system": ["metric", ""]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'run_linear_regression', 'description': 'Build a linear regression model using given predictor variables and a target variable. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'predictors': {'type': 'array', 'items': {'type': 'string'}, 'description': 'Array containing the names of predictor variables.'}, 'target': {'type': 'string', 'description': 'The name of target variable.'}, 'standardize': {'type': 'boolean', 'description': 'Option to apply standardization on the predictors. Defaults to False.'}}, 'required': ['predictors', 'target']}}]


user: Run a linear regression model with predictor variables 'Age', 'Income' and 'Education' and a target variable 'Purchase_Amount'. Also apply standardization.

Available functions:
[{"name": "run_linear_regression", "description": "Build a linear regression model using given predictor variables and a target variable.", "parameters": {"type": "dict", "properties": {"predictors": {"type": "array", "items": {"type": "string"}, "description": "Array containing the names of predictor variables."}, "target": {"type": "string", "description": "The name of target variable."}, "standardize": {"type": "boolean", "description": "Option to apply standardization on the predictors. Defaults to False."}}, "required": ["predictors", "target"]}}]

Ground-truth function call:
[{"run_linear_regression": {"predictors": [["Age", "Income", "Education"]], "target": ["Purchase_Amount"], "standardize": [true]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'random_forest.train', 'description': 'Train a Random Forest Model on given data Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'n_estimators': {'type': 'integer', 'description': 'The number of trees in the forest.'}, 'max_depth': {'type': 'integer', 'description': 'The maximum depth of the tree.'}, 'data': {'type': 'any', 'description': 'The training data for the model.'}}, 'required': ['n_estimators', 'max_depth', 'data']}}]


user: Generate a random forest model with 100 trees and a depth of 5 on the provided data my_data.

Available functions:
[{"name": "random_forest.train", "description": "Train a Random Forest Model on given data", "parameters": {"type": "dict", "properties": {"n_estimators": {"type": "integer", "description": "The number of trees in the forest."}, "max_depth": {"type": "integer", "description": "The maximum depth of the tree."}, "data": {"type": "any", "description": "The training data for the model."}}, "required": ["n_estimators", "max_depth", "data"]}}]

Ground-truth function call:
[{"random_forest.train": {"n_estimators": [100], "max_depth": [5], "data": ["my_data"]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'predict_house_price', 'description': 'Predict the price of a house in a given area based on number of bedrooms, bathrooms and area. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'bedrooms': {'type': 'integer', 'description': 'The number of bedrooms in the house.'}, 'bathrooms': {'type': 'integer', 'description': 'The number of bathrooms in the house.'}, 'area': {'type': 'integer', 'description': 'The area of the house in square feet.'}, 'location': {'type': 'string', 'description': 'The location of the house in the format of city name.'}}, 'required': ['bedrooms', 'bathrooms', 'area', 'location']}}]


user: Predict the price of the house in San Francisco with 3 bedrooms, 2 bathrooms and area of 1800 square feet.

Available functions:
[{"name": "predict_house_price", "description": "Predict the price of a house in a given area based on number of bedrooms, bathrooms and area.", "parameters": {"type": "dict", "properties": {"bedrooms": {"type": "integer", "description": "The number of bedrooms in the house."}, "bathrooms": {"type": "integer", "description": "The number of bathrooms in the house."}, "area": {"type": "integer", "description": "The area of the house in square feet."}, "location": {"type": "string", "description": "The location of the house in the format of city name."}}, "required": ["bedrooms", "bathrooms", "area", "location"]}}]

Ground-truth function call:
[{"predict_house_price": {"bedrooms": [3], "bathrooms": [2], "area": [1800], "location": ["San Francisco", "San Francisco, CA"]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'random.normalvariate', 'description': 'Generates a random number from a normal distribution given the mean and standard deviation. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'mu': {'type': 'integer', 'description': 'Mean of the normal distribution.'}, 'sigma': {'type': 'integer', 'description': 'Standard deviation of the normal distribution.'}}, 'required': ['mu', 'sigma']}}]


user: Generate a random number from a normal distribution with mean 0 and standard deviation 1.

Available functions:
[{"name": "random.normalvariate", "description": "Generates a random number from a normal distribution given the mean and standard deviation.", "parameters": {"type": "dict", "properties": {"mu": {"type": "integer", "description": "Mean of the normal distribution."}, "sigma": {"type": "integer", "description": "Standard deviation of the normal distribution."}}, "required": ["mu", "sigma"]}}]

Ground-truth function call:
[{"random.normalvariate": {"mu": [0], "sigma": [1]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_probability', 'description': 'Calculate the probability of an event. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'total_outcomes': {'type': 'integer', 'description': 'Total number of possible outcomes.'}, 'favorable_outcomes': {'type': 'integer', 'description': "Number of outcomes considered as 'successful'."}, 'round_to': {'type': 'integer', 'description': 'Number of decimal places to round the result to.', 'default': 2}}, 'required': ['total_outcomes', 'favorable_outcomes']}}]


user: Calculate the probability of drawing a king from a deck of cards.

Available functions:
[{"name": "calculate_probability", "description": "Calculate the probability of an event.", "parameters": {"type": "dict", "properties": {"total_outcomes": {"type": "integer", "description": "Total number of possible outcomes."}, "favorable_outcomes": {"type": "integer", "description": "Number of outcomes considered as 'successful'."}, "round_to": {"type": "integer", "description": "Number of decimal places to round the result to.", "default": 2}}, "required": ["total_outcomes", "favorable_outcomes"]}}]

Ground-truth function call:
[{"calculate_probability": {"total_outcomes": [52], "favorable_outcomes": [4], "round_to": ["", 2]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'probability.dice_roll', 'description': 'Calculate the probability of rolling a certain number on a six-sided die a certain number of times in a row. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'desired_number': {'type': 'integer', 'description': 'The number you want to roll.'}, 'number_of_rolls': {'type': 'integer', 'description': 'How many times you want to roll that number in a row.'}, 'die_sides': {'type': 'integer', 'description': 'The number of sides on the die (optional; default is 6).'}}, 'required': ['desired_number', 'number_of_rolls']}}]


user: What's the probability of rolling a six on a six-sided die twice in a row?

Available functions:
[{"name": "probability.dice_roll", "description": "Calculate the probability of rolling a certain number on a six-sided die a certain number of times in a row.", "parameters": {"type": "dict", "properties": {"desired_number": {"type": "integer", "description": "The number you want to roll."}, "number_of_rolls": {"type": "integer", "description": "How many times you want to roll that number in a row."}, "die_sides": {"type": "integer", "description": "The number of sides on the die (optional; default is 6)."}}, "required": ["desired_number", "number_of_rolls"]}}]

Ground-truth function call:
[{"probability.dice_roll": {"desired_number": [6], "number_of_rolls": [2], "die_sides": [6, ""]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'prob_dist.binomial', 'description': "Compute the probability of having 'success' outcome from binomial distribution. Note that the provided function is in Python 3 syntax.", 'parameters': {'type': 'dict', 'properties': {'trials': {'type': 'integer', 'description': 'The number of independent experiments.'}, 'successes': {'type': 'integer', 'description': 'The number of success events.'}, 'p': {'type': 'float', 'description': 'The probability of success on any given trial, defaults to 0.5'}}, 'required': ['trials', 'successes']}}]


user: Find the probability of getting exactly 5 heads in 10 fair coin tosses.

Available functions:
[{"name": "prob_dist.binomial", "description": "Compute the probability of having 'success' outcome from binomial distribution.", "parameters": {"type": "dict", "properties": {"trials": {"type": "integer", "description": "The number of independent experiments."}, "successes": {"type": "integer", "description": "The number of success events."}, "p": {"type": "float", "description": "The probability of success on any given trial, defaults to 0.5"}}, "required": ["trials", "successes"]}}]

Ground-truth function call:
[{"prob_dist.binomial": {"trials": [10], "successes": [5], "p": [0.5, ""]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calculate_binomial_probability', 'description': 'Calculates the binomial probability given the number of trials, successes and the probability of success on an individual trial. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'number_of_trials': {'type': 'integer', 'description': 'The total number of trials.'}, 'number_of_successes': {'type': 'integer', 'description': 'The desired number of successful outcomes.'}, 'probability_of_success': {'type': 'float', 'description': 'The probability of a successful outcome on any given trial.', 'default': 0.5}}, 'required': ['number_of_trials', 'number_of_successes']}}]


user: Calculate the probability of getting exactly 5 heads in 8 tosses of a fair coin.

Available functions:
[{"name": "calculate_binomial_probability", "description": "Calculates the binomial probability given the number of trials, successes and the probability of success on an individual trial.", "parameters": {"type": "dict", "properties": {"number_of_trials": {"type": "integer", "description": "The total number of trials."}, "number_of_successes": {"type": "integer", "description": "The desired number of successful outcomes."}, "probability_of_success": {"type": "float", "description": "The probability of a successful outcome on any given trial.", "default": 0.5}}, "required": ["number_of_trials", "number_of_successes"]}}]

Ground-truth function call:
[{"calculate_binomial_probability": {"number_of_trials": [8], "number_of_successes": [5], "probability_of_success": ["", 0.5]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'probabilities.calculate_single', 'description': 'Calculate the probability of an event. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'total_outcomes': {'type': 'integer', 'description': 'The total number of outcomes.'}, 'event_outcomes': {'type': 'integer', 'description': 'The number of outcomes where the event occurs.'}, 'round': {'type': 'integer', 'description': 'Round the answer to a specified number of decimal places. Defaults to 2.'}}, 'required': ['total_outcomes', 'event_outcomes']}}]


user: What's the probability of drawing a king from a well shuffled standard deck of 52 cards?

Available functions:
[{"name": "probabilities.calculate_single", "description": "Calculate the probability of an event.", "parameters": {"type": "dict", "properties": {"total_outcomes": {"type": "integer", "description": "The total number of outcomes."}, "event_outcomes": {"type": "integer", "description": "The number of outcomes where the event occurs."}, "round": {"type": "integer", "description": "Round the answer to a specified number of decimal places. Defaults to 2."}}, "required": ["total_outcomes", "event_outcomes"]}}]

Ground-truth function call:
[{"probabilities.calculate_single": {"total_outcomes": [52], "event_outcomes": [4], "round": [2, ""]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'probability_of_event', 'description': 'Calculates the probability of an event. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'success_outcomes': {'type': 'integer', 'description': 'The number of successful outcomes.'}, 'total_outcomes': {'type': 'integer', 'description': 'The total number of possible outcomes.'}, 'format_as_ratio': {'type': 'boolean', 'description': 'When true, formats the output as a ratio instead of a decimal. Default is false.'}}, 'required': ['success_outcomes', 'total_outcomes']}}]


user: What are the odds of pulling a heart suit from a well-shuffled standard deck of 52 cards? Format it as ratio.

Available functions:
[{"name": "probability_of_event", "description": "Calculates the probability of an event.", "parameters": {"type": "dict", "properties": {"success_outcomes": {"type": "integer", "description": "The number of successful outcomes."}, "total_outcomes": {"type": "integer", "description": "The total number of possible outcomes."}, "format_as_ratio": {"type": "boolean", "description": "When true, formats the output as a ratio instead of a decimal. Default is false."}}, "required": ["success_outcomes", "total_outcomes"]}}]

Ground-truth function call:
[{"probability_of_event": {"success_outcomes": [13], "total_outcomes": [52], "format_as_ratio": [true]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'stats.t_test', 'description': 'Perform a two-sample t-test for two given arrays. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'array_1': {'type': 'array', 'items': {'type': 'integer'}, 'description': 'First array of data.'}, 'array_2': {'type': 'array', 'items': {'type': 'integer'}, 'description': 'Second array of data.'}, 'alpha': {'type': 'float', 'description': 'Significance level for hypothesis testing.'}}, 'required': ['array_1', 'array_2', 'alpha']}}]


user: Perform a two-sample t-test on my experiment data of Control [10, 15, 12, 14, 11] and Treated [18, 16, 17, 20, 22] group with alpha equals to 0.05

Available functions:
[{"name": "stats.t_test", "description": "Perform a two-sample t-test for two given arrays.", "parameters": {"type": "dict", "properties": {"array_1": {"type": "array", "items": {"type": "integer"}, "description": "First array of data."}, "array_2": {"type": "array", "items": {"type": "integer"}, "description": "Second array of data."}, "alpha": {"type": "float", "description": "Significance level for hypothesis testing."}}, "required": ["array_1", "array_2", "alpha"]}}]

Ground-truth function call:
[{"stats.t_test": {"array_1": [[10, 15, 12, 14, 11]], "array_2": [[18, 16, 17, 20, 22]], "alpha": [0.05]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'hypothesis_testing.ttest_ind', 'description': 'Conducts a hypothesis test for two independent samples. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'sample1': {'type': 'array', 'items': {'type': 'integer'}, 'description': 'First set of observations (array of numbers).'}, 'sample2': {'type': 'array', 'items': {'type': 'integer'}, 'description': 'Second set of observations (array of numbers).'}, 'significance_level': {'type': 'float', 'description': 'Significance level of the test (default: 0.05)'}}, 'required': ['sample1', 'sample2']}}]


user: Perform a hypothesis test for two independent samples with scores of Sample1: [22,33,42,12,34] and Sample2: [23,45,44,14,38] at a significance level of 0.05.

Available functions:
[{"name": "hypothesis_testing.ttest_ind", "description": "Conducts a hypothesis test for two independent samples.", "parameters": {"type": "dict", "properties": {"sample1": {"type": "array", "items": {"type": "integer"}, "description": "First set of observations (array of numbers)."}, "sample2": {"type": "array", "items": {"type": "integer"}, "description": "Second set of observations (array of numbers)."}, "significance_level": {"type": "float", "description": "Significance level of the test (default: 0.05)"}}, "required": ["sample1", "sample2"]}}]

Ground-truth function call:
[{"hypothesis_testing.ttest_ind": {"sample1": [[22, 33, 42, 12, 34]], "sample2": [[23, 45, 44, 14, 38]], "significance_level": [0.05]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'run_two_sample_ttest', 'description': 'Runs a two sample t-test for two given data groups. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'group1': {'type': 'array', 'items': {'type': 'integer'}, 'description': 'First group of data points.'}, 'group2': {'type': 'array', 'items': {'type': 'integer'}, 'description': 'Second group of data points.'}, 'equal_variance': {'type': 'boolean', 'description': 'Assumption about whether the two samples have equal variance.', 'default': True}}, 'required': ['group1', 'group2']}}]


user: Run a two sample T-test to compare the average of Group A [3, 4, 5, 6, 4] and Group B [7, 8, 9, 8, 7] assuming equal variance.

Available functions:
[{"name": "run_two_sample_ttest", "description": "Runs a two sample t-test for two given data groups.", "parameters": {"type": "dict", "properties": {"group1": {"type": "array", "items": {"type": "integer"}, "description": "First group of data points."}, "group2": {"type": "array", "items": {"type": "integer"}, "description": "Second group of data points."}, "equal_variance": {"type": "boolean", "description": "Assumption about whether the two samples have equal variance.", "default": true}}, "required": ["group1", "group2"]}}]

Ground-truth function call:
[{"run_two_sample_ttest": {"group1": [[3, 4, 5, 6, 4]], "group2": [[7, 8, 9, 8, 7]], "equal_variance": [true]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'calc_binomial_prob', 'description': 'Calculates the probability of an outcome based on the binomial distribution Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'num_trials': {'type': 'integer', 'description': 'Number of independent experiments.'}, 'num_success': {'type': 'integer', 'description': 'Number of times the event of interest has occurred.'}, 'prob_success': {'type': 'float', 'description': 'Probability of the event of interest on any single experiment.'}}, 'required': ['num_trials', 'num_success', 'prob_success']}}]


user: Calculate the probability of observing 60 heads if I flip a coin 100 times with probability of heads 0.5.

Available functions:
[{"name": "calc_binomial_prob", "description": "Calculates the probability of an outcome based on the binomial distribution", "parameters": {"type": "dict", "properties": {"num_trials": {"type": "integer", "description": "Number of independent experiments."}, "num_success": {"type": "integer", "description": "Number of times the event of interest has occurred."}, "prob_success": {"type": "float", "description": "Probability of the event of interest on any single experiment."}}, "required": ["num_trials", "num_success", "prob_success"]}}]

Ground-truth function call:
[{"calc_binomial_prob": {"num_trials": [100], "num_success": [60], "prob_success": [0.5]}}]
system: 
You are an expert in composing functions. You are given a question and a set of possible functions.
Based on the question, you will need to make one or more function/tool calls to achieve the purpose.
If none of the function can be used, point it out. If the given question lacks the parameters required by the function,
also point it out. You should only return the function call in tools call sections.

If you decide to invoke any of the function(s), you MUST put it in the format of [func_name1(params_name1=params_value1, params_name2=params_value2...), func_name2(params)]

You SHOULD NOT include any other text in the response.

Here is a list of functions in JSON format that you can invoke.

[{'name': 'chi_squared_test', 'description': 'Performs a Chi-Squared test for independence on a 2x2 contingency table. Note that the provided function is in Python 3 syntax.', 'parameters': {'type': 'dict', 'properties': {'table': {'type': 'array', 'items': {'type': 'array', 'items': {'type': 'integer'}}, 'description': 'A 2x2 contingency table presented in array form.'}, 'alpha': {'type': 'float', 'description': 'Significance level for the Chi-Squared test. Default is 0.05.'}}, 'required': ['table']}}]


user: Perform a Chi-Squared test for independence on a 2x2 contingency table [ [10, 20], [30, 40] ]

Available functions:
[{"name": "chi_squared_test", "description": "Performs a Chi-Squared test for independence on a 2x2 contingency table.", "parameters": {"type": "dict", "properties": {"table": {"type": "array", "items": {"type": "array", "items": {"type": "integer"}}, "description": "A 2x2 contingency table presented in array form."}, "alpha": {"type": "float", "description": "Significance level for the Chi-Squared test. Default is 0.05."}}, "required": ["table"]}}]

Ground-truth function call:
[{"chi_squared_test": {"table": [[[10, 20], [30, 40]]], "alpha": [0.05, ""]}}]