{'__builtins__': {'__name__': 'builtins', '__doc__': "Built-in functions, types, exceptions, and other objects.\n\nThis module provides direct access to all 'built-in'\nidentifiers of Python; for example, builtins.len is\nthe full name for the built-in function len().\n\nThis module is not normally accessed explicitly by most\napplications, but can be useful in modules that provide\nobjects with the same name as a built-in value, but in\nwhich the built-in of that name is also needed.", '__package__': '', '__loader__': <class '_frozen_importlib.BuiltinImporter'>, '__spec__': ModuleSpec(name='builtins', loader=<class '_frozen_importlib.BuiltinImporter'>, origin='built-in'), '__build_class__': <built-in function __build_class__>, '__import__': <built-in function __import__>, 'abs': <built-in function abs>, 'all': <built-in function all>, 'any': <built-in function any>, 'ascii': <built-in function ascii>, 'bin': <built-in function bin>, 'breakpoint': <built-in function breakpoint>, 'callable': <built-in function callable>, 'chr': <built-in function chr>, 'compile': <built-in function compile>, 'delattr': <built-in function delattr>, 'dir': <built-in function dir>, 'divmod': <built-in function divmod>, 'eval': <built-in function eval>, 'exec': <built-in function exec>, 'format': <built-in function format>, 'getattr': <built-in function getattr>, 'globals': <built-in function globals>, 'hasattr': <built-in function hasattr>, 'hash': <built-in function hash>, 'hex': <built-in function hex>, 'id': <built-in function id>, 'input': <built-in function input>, 'isinstance': <built-in function isinstance>, 'issubclass': <built-in function issubclass>, 'iter': <built-in function iter>, 'aiter': <built-in function aiter>, 'len': <built-in function len>, 'locals': <built-in function locals>, 'max': <built-in function max>, 'min': <built-in function min>, 'next': <built-in function next>, 'anext': <built-in function anext>, 'oct': <built-in function oct>, 'ord': <built-in function ord>, 'pow': <built-in function pow>, 'print': <built-in function print>, 'repr': <built-in function repr>, 'round': <built-in function round>, 'setattr': <built-in function setattr>, 'sorted': <built-in function sorted>, 'sum': <built-in function sum>, 'vars': <built-in function vars>, 'None': None, 'Ellipsis': Ellipsis, 'NotImplemented': NotImplemented, 'False': False, 'True': True, 'bool': <class 'bool'>, 'memoryview': <class 'memoryview'>, 'bytearray': <class 'bytearray'>, 'bytes': <class 'bytes'>, 'classmethod': <class 'classmethod'>, 'complex': <class 'complex'>, 'dict': <class 'dict'>, 'enumerate': <class 'enumerate'>, 'filter': <class 'filter'>, 'float': <class 'float'>, 'frozenset': <class 'frozenset'>, 'property': <class 'property'>, 'int': <class 'int'>, 'list': <class 'list'>, 'map': <class 'map'>, 'object': <class 'object'>, 'range': <class 'range'>, 'reversed': <class 'reversed'>, 'set': <class 'set'>, 'slice': <class 'slice'>, 'staticmethod': <class 'staticmethod'>, 'str': <class 'str'>, 'super': <class 'super'>, 'tuple': <class 'tuple'>, 'type': <class 'type'>, 'zip': <class 'zip'>, '__debug__': True, 'BaseException': <class 'BaseException'>, 'BaseExceptionGroup': <class 'BaseExceptionGroup'>, 'Exception': <class 'Exception'>, 'GeneratorExit': <class 'GeneratorExit'>, 'KeyboardInterrupt': <class 'KeyboardInterrupt'>, 'SystemExit': <class 'SystemExit'>, 'ArithmeticError': <class 'ArithmeticError'>, 'AssertionError': <class 'AssertionError'>, 'AttributeError': <class 'AttributeError'>, 'BufferError': <class 'BufferError'>, 'EOFError': <class 'EOFError'>, 'ImportError': <class 'ImportError'>, 'LookupError': <class 'LookupError'>, 'MemoryError': <class 'MemoryError'>, 'NameError': <class 'NameError'>, 'OSError': <class 'OSError'>, 'ReferenceError': <class 'ReferenceError'>, 'RuntimeError': <class 'RuntimeError'>, 'StopAsyncIteration': <class 'StopAsyncIteration'>, 'StopIteration': <class 'StopIteration'>, 'SyntaxError': <class 'SyntaxError'>, 'SystemError': <class 'SystemError'>, 'TypeError': <class 'TypeError'>, 'ValueError': <class 'ValueError'>, 'Warning': <class 'Warning'>, 'FloatingPointError': <class 'FloatingPointError'>, 'OverflowError': <class 'OverflowError'>, 'ZeroDivisionError': <class 'ZeroDivisionError'>, 'BytesWarning': <class 'BytesWarning'>, 'DeprecationWarning': <class 'DeprecationWarning'>, 'EncodingWarning': <class 'EncodingWarning'>, 'FutureWarning': <class 'FutureWarning'>, 'ImportWarning': <class 'ImportWarning'>, 'PendingDeprecationWarning': <class 'PendingDeprecationWarning'>, 'ResourceWarning': <class 'ResourceWarning'>, 'RuntimeWarning': <class 'RuntimeWarning'>, 'SyntaxWarning': <class 'SyntaxWarning'>, 'UnicodeWarning': <class 'UnicodeWarning'>, 'UserWarning': <class 'UserWarning'>, 'BlockingIOError': <class 'BlockingIOError'>, 'ChildProcessError': <class 'ChildProcessError'>, 'ConnectionError': <class 'ConnectionError'>, 'FileExistsError': <class 'FileExistsError'>, 'FileNotFoundError': <class 'FileNotFoundError'>, 'InterruptedError': <class 'InterruptedError'>, 'IsADirectoryError': <class 'IsADirectoryError'>, 'NotADirectoryError': <class 'NotADirectoryError'>, 'PermissionError': <class 'PermissionError'>, 'ProcessLookupError': <class 'ProcessLookupError'>, 'TimeoutError': <class 'TimeoutError'>, 'IndentationError': <class 'IndentationError'>, 'IndexError': <class 'IndexError'>, 'KeyError': <class 'KeyError'>, 'ModuleNotFoundError': <class 'ModuleNotFoundError'>, 'NotImplementedError': <class 'NotImplementedError'>, 'RecursionError': <class 'RecursionError'>, 'UnboundLocalError': <class 'UnboundLocalError'>, 'UnicodeError': <class 'UnicodeError'>, 'BrokenPipeError': <class 'BrokenPipeError'>, 'ConnectionAbortedError': <class 'ConnectionAbortedError'>, 'ConnectionRefusedError': <class 'ConnectionRefusedError'>, 'ConnectionResetError': <class 'ConnectionResetError'>, 'TabError': <class 'TabError'>, 'UnicodeDecodeError': <class 'UnicodeDecodeError'>, 'UnicodeEncodeError': <class 'UnicodeEncodeError'>, 'UnicodeTranslateError': <class 'UnicodeTranslateError'>, 'ExceptionGroup': <class 'ExceptionGroup'>, 'EnvironmentError': <class 'OSError'>, 'IOError': <class 'OSError'>, 'open': <built-in function open>, 'quit': Use quit() or Ctrl-D (i.e. EOF) to exit, 'exit': Use exit() or Ctrl-D (i.e. EOF) to exit, 'copyright': Copyright (c) 2001-2023 Python Software Foundation.
All Rights Reserved.

Copyright (c) 2000 BeOpen.com.
All Rights Reserved.

Copyright (c) 1995-2001 Corporation for National Research Initiatives.
All Rights Reserved.

Copyright (c) 1991-1995 Stichting Mathematisch Centrum, Amsterdam.
All Rights Reserved., 'credits':     Thanks to CWI, CNRI, BeOpen.com, Zope Corporation and a cast of thousands
    for supporting Python development.  See www.python.org for more information., 'license': Type license() to see the full license text, 'help': Type help() for interactive help, or help(object) for help about object., '__pybind11_internals_v4_gcc_libstdcpp_cxxabi1011__': <capsule object NULL at 0x749955fb6910>, '__pybind11_internals_v4_gcc_libstdcpp_cxxabi1014__': <capsule object NULL at 0x74985e71d320>}, 'pm': <module 'pymc' from '/home/madhav/miniconda3/envs/genparse/lib/python3.11/site-packages/pymc/__init__.py'>, 'np': <module 'numpy' from '/home/madhav/miniconda3/envs/genparse/lib/python3.11/site-packages/numpy/__init__.py'>, 'az': <module 'arviz' from '/home/madhav/miniconda3/envs/genparse/lib/python3.11/site-packages/arviz/__init__.py'>, 'plt': <module 'matplotlib.pyplot' from '/home/madhav/miniconda3/envs/genparse/lib/python3.11/site-packages/matplotlib/pyplot.py'>, 'X': array([ 1. ,  1.5,  1.5,  1.5,  2.5,  4. ,  5. ,  5. ,  7. ,  8. ,  8.5,
        9. ,  9.5,  9.5, 10. , 12. , 12. , 13. , 13. , 14.5, 15.5, 15.5,
       16.5, 17. , 22.5, 29. , 31.5]), 'y': array([1.8 , 1.85, 1.87, 1.77, 2.02, 2.27, 2.15, 2.26, 2.47, 2.19, 2.26,
       2.4 , 2.39, 2.41, 2.5 , 2.32, 2.32, 2.43, 2.47, 2.56, 2.65, 2.47,
       2.64, 2.56, 2.7 , 2.72, 2.57]), 'm': <pymc.model.Model object at 0x7495460a65d0>, 'alpha': alpha, 'beta': beta, 'sigma': sigma, 'y_obs': y_obs, 'trace': Inference data with groups:
	> posterior
	> log_likelihood
	> sample_stats
	> observed_data, 'summary':         mean     sd  hdi_3%  hdi_97%  mcse_mean  mcse_sd  ess_bulk  ess_tail  r_hat
alpha  2.019  0.056   1.917    2.124      0.001    0.001    1786.0    2059.0    1.0
beta   0.029  0.004   0.021    0.037      0.000    0.000    1909.0    2245.0    1.0
sigma  0.167  0.026   0.120    0.213      0.001    0.000    2138.0    1933.0    1.0}