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from opencompass . openicl . icl_prompt_template import PromptTemplate
from opencompass . openicl . icl_retriever import ZeroRetriever
from opencompass . openicl . icl_inferencer import AgentInferencer
from opencompass . datasets import (
MATHDataset , MATHAgentEvaluator , math_postprocess
)
# use pal format but not perform well
math_reader_cfg = dict ( input_columns = [ ' problem ' ] , output_column = ' solution ' )
math_infer_cfg = dict (
prompt_template = dict (
type = PromptTemplate ,
template = dict (
round = [
# # ################################### NEW SHOT ###################################
dict ( role = ' HUMAN ' , prompt = ' Find the coefficient of $x^3$ when $3(x^2 - x^3+x) +3(x +2x^3- 3x^2 + 3x^5+x^3) -5(1+x-4x^3 - x^2)$ is simplifie. ' ) ,
dict ( role = ' BOT ' , prompt = """ Tool:PythonInterpreter \n Tool Input:from sympy import symbols, simplify
def solution ( ) :
x = symbols ( ' x ' )
expr = 3 * ( x * * 2 - x * * 3 + x ) + 3 * ( x + 2 * x * * 3 - 3 * x * * 2 + 3 * x * * 5 + x * * 3 ) - 5 * ( 1 + x - 4 * x * * 3 - x * * 2 )
simplified_expr = simplify ( expr )
x3_coefficient = simplified_expr . as_coefficients_dict ( ) [ x * * 3 ]
result = x3_coefficient
return result """ ),
dict ( role = ' SYSTEM ' , prompt = ' Response:26 ' ) ,
dict ( role = ' BOT ' , prompt = ' FinalAnswer: The final answer is $26$. I hope it is correct. ' ) ,
dict ( role = ' HUMAN ' , prompt = ' The surface area of a sphere with radius $r$ is $4 \ pi r^2$. Including the area of its circular base, what is the total surface area of a hemisphere with radius 6 cm? Express your answer in terms of $ \ pi$. ' ) ,
dict ( role = ' BOT ' , prompt = """ Tool:PythonInterpreter \n Tool Input:import math
def solution ( ) :
radius = 6
# Surface area of the hemisphere
hemisphere_area = 2 * math . pi * radius * * 2
# Area of the circular base
base_area = math . pi * radius * * 2
# Total surface area
total_surface_area = hemisphere_area + base_area
# Formatting the result in LaTeX
result = r ' {} \ pi ' . format ( total_surface_area / math . pi )
return result """ ),
dict ( role = ' SYSTEM ' , prompt = ' Response:108.0 \\ pi ' ) ,
dict ( role = ' BOT ' , prompt = ' FinalAnswer: The final answer is $108.0 \ pi$. I hope it is correct. ' ) ,
dict ( role = ' HUMAN ' , prompt = ' Monica tosses a fair 6-sided die. If the roll is a prime number, then she wins that amount of dollars (so that, for example, if she rolls 3, then she wins 3 dollars). If the roll is composite, she wins nothing. Otherwise, she loses 3 dollars. What is the expected value of her winnings on one die toss? Express your answer as a dollar value to the nearest cent. ' ) ,
dict ( role = ' BOT ' , prompt = """ Tool:PythonInterpreter \n Tool Input:def solution():
# Probabilities of each outcome
prime_prob = 1 / 6
composite_prob = 1 / 3
otherwise_prob = 1 / 6
# Expected value of each outcome
prime_expected_value = ( 2 * prime_prob ) + ( 3 * prime_prob ) + ( 5 * prime_prob )
composite_expected_value = 0 * composite_prob
otherwise_expected_value = - 3 * otherwise_prob
# Total expected value
total_expected_value = prime_expected_value + composite_expected_value + otherwise_expected_value
# Dollar value to the nearest cent
result = " {:.2f} " . format ( total_expected_value )
return result """ ),
dict ( role = ' SYSTEM ' , prompt = ' Response:1.17 ' ) ,
dict ( role = ' BOT ' , prompt = ' FinalAnswer: The final answer is $1.17$. I hope it is correct. ' ) ,
2024-05-14 15:35:58 +08:00
dict ( role = ' HUMAN ' , prompt = ' Given $ \ mathbf {a} = \\ begin {pmatrix} -7 \\ 0 \\ 1 \ end {pmatrix} $ and $ \ mathbf {b} = \\ begin {pmatrix} 4 \\ 2 \\ -1 \ end {pmatrix} ,$ find $ \ mathbf {a} - 3 \ mathbf {b} .$ ' ) ,
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dict ( role = ' BOT ' , prompt = """ Tool:PythonInterpreter \n Tool Input:import numpy as np
def solution ( )
a = np . array ( [ - 7 , 0 , 1 ] )
b = np . array ( [ 4 , 2 , - 1 ] )
result = a - 3 * b
result = r ' \\ begin {{ pmatrix}} {} \ {} \ {} \ end {{ pmatrix}} ' . format ( result [ 0 ] , result [ 1 ] , result [ 2 ] )
return result """ ),
dict ( role = ' SYSTEM ' , prompt = ' Response: \\ begin {pmatrix} -19 \\ -6 \\ 4 \\ end {pmatrix} ' ) ,
dict ( role = ' BOT ' , prompt = ' FinalAnswer: The final answer is $ \\ begin {pmatrix} -19 \\ -6 \\ 4 \\ end {pmatrix} $. I hope it is correct. ' ) ,
dict ( role = ' HUMAN ' , prompt = ' {problem} ' ) ,
] ) ) ,
retriever = dict ( type = ZeroRetriever ) ,
inferencer = dict ( type = AgentInferencer ) ,
)
math_eval_cfg = dict (
evaluator = dict ( type = MATHAgentEvaluator ) ,
pred_postprocessor = dict ( type = math_postprocess ) ,
)
math_datasets = [
dict (
abbr = ' math-agent ' ,
type = MATHDataset ,
path = ' ./data/math/math.json ' ,
reader_cfg = math_reader_cfg ,
infer_cfg = math_infer_cfg ,
eval_cfg = math_eval_cfg ,
)
]