Analysing Distributions¶

The equation tree can be used to extract information from existing distributions of equations (e.g., for example by scraping priors: https://autoresearch.github.io/equation-scraper/tutorials/equation_scraper_tutorial/)

Installation¶

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!pip install equation-tree

!pip install equation-tree

Equation Database¶

Here, we use a list of sympy equation to demonstrate the functionality

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# import functionality from sympy
from sympy import sympify

eq_1 = sympify('x_1 + x_2')
eq_2 = sympify('exp(x_1) * 2.5')
eq_3 = sympify('sin(x_1) + 2 * cos(x_2)')
equation_list = [eq_1, eq_2, eq_3]

# import functionality from sympy from sympy import sympify eq_1 = sympify('x_1 + x_2') eq_2 = sympify('exp(x_1) * 2.5') eq_3 = sympify('sin(x_1) + 2 * cos(x_2)') equation_list = [eq_1, eq_2, eq_3]

Analyse the List¶

We can obtain informations about equations and lists of equations:

In [ ]:

from equation_tree import get_frequencies

# Show the frequencies of
frequencies = get_frequencies(equation_list)
frequencies

from equation_tree import get_frequencies # Show the frequencies of frequencies = get_frequencies(equation_list) frequencies

Instead of frequencies, we can also obtain absolute values:

In [ ]:

from src.equation_tree import get_counts

counts  = get_counts(equation_list)
counts

from src.equation_tree import get_counts counts = get_counts(equation_list) counts

Note: We can directly use the obtained frequencies to sample new functions:

In [ ]:

from equation_tree import sample

# sample equations
equations = sample(10, frequencies)
print(equations)

from equation_tree import sample # sample equations equations = sample(10, frequencies) print(equations)

In [ ]:

# check the frequencies
print(get_frequencies(equations))

# check the frequencies print(get_frequencies(equations))