The simplify and collect operations
The SymPy module also supports the simplify and collect operations on the given expression. There are options for simplifying various types of functions, including trigonometric functions, Bessel-type functions, combinatorial expressions, and others.
The following program demonstrates the simplification of expressions involving polynomial and trigonometric functions:
from sympy import simplify, cos, sin, trigsimp, cancel
from sympy import sqrt, count_ops, oo, symbols, log
from sympy.abc import x, y
expr = (2*x + 3*x**2)/(4*x*sin(y)**2 + 2*x*cos(y)**2)
expr
simplify(expr)
trigsimp(expr)
cancel(_)
root = 4/(sqrt(2)+3)
simplify(root, ratio=1) == root
count_ops(simplify(root, ratio=oo)) > count_ops(root)
x, y = symbols('x y', positive=True)
expr2 = log(x) + log(y) + log(x)*log(1/y)
expr3 = simplify(expr2)
expr3
count_ops(expr2)
count_ops(expr3)
print(count_ops(expr2, visual=True))
print(count_ops(expr3, visual=True))
