TypeError: Invalid comparison of non-real zoo calling integrate in sympy 1.12

[nasser1]

I do not know if this is known or reported before. Feel free to close if so.

I see lots of exceptions

File "/usr/lib/python3.11/site-packages/sympy/core/relational.py", line 822, in __new__
    raise TypeError("Invalid comparison of non-real %s" % me)
TypeError: Invalid comparison of non-real zoo

Here is just one example out of many

from sympy import *
x,n,c,d,e=symbols('x n c d e')
integrand="ln(c*(d+e*x**n))/x/(c*e-(-c*d+1)/(x**n))"
integrate( sympify(integrand), x)

gives

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "/usr/lib/python3.11/site-packages/sympy/integrals/integrals.py", line 1567, in integrate
    return integral.doit(**doit_flags)
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/integrals.py", line 612, in doit
    antideriv = self._eval_integral(
                ^^^^^^^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/integrals.py", line 1107, in _eval_integral
    result = manualintegrate(g, x)
             ^^^^^^^^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 2161, in manualintegrate
    result = integral_steps(f, var).eval()
             ^^^^^^^^^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 2062, in integral_steps
    result = do_one(
             ^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 108, in do_one_rl
    result = rl(expr)
             ^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 108, in do_one_rl
    result = rl(expr)
             ^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 87, in null_safe_rl
    result = rule(expr)
             ^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 930, in _alternatives
    result = rule(integral)
             ^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 1891, in substitution_rule
    subrule = integral_steps(substituted, u_var)
              ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 2062, in integral_steps
    result = do_one(
             ^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 108, in do_one_rl
    result = rl(expr)
             ^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 108, in do_one_rl
    result = rl(expr)
             ^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 87, in null_safe_rl
    result = rule(expr)
             ^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 930, in _alternatives
    result = rule(integral)
             ^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 1891, in substitution_rule
    subrule = integral_steps(substituted, u_var)
              ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 2062, in integral_steps
    result = do_one(
             ^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 108, in do_one_rl
    result = rl(expr)
             ^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 108, in do_one_rl
    result = rl(expr)
             ^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 87, in null_safe_rl
    result = rule(expr)
             ^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 930, in _alternatives
    result = rule(integral)
             ^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 53, in conditioned_rl
    return rule(expr)
           ^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 1361, in parts_rule
    rule = PartsRule(integrand, symbol, u, dv, v_step, make_second_step(steps[1:], v * du))
                                                       ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 1357, in make_second_step
    return integral_steps(integrand, symbol)
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 2062, in integral_steps
    result = do_one(
             ^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 108, in do_one_rl
    result = rl(expr)
             ^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 87, in null_safe_rl
    result = rule(expr)
             ^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 122, in switch_rl
    return rl(expr)
           ^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 108, in do_one_rl
    result = rl(expr)
             ^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 87, in null_safe_rl
    result = rule(expr)
             ^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 1204, in mul_rule
    next_step = integral_steps(f, symbol)
                ^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 2062, in integral_steps
    result = do_one(
             ^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 108, in do_one_rl
    result = rl(expr)
             ^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 108, in do_one_rl
    result = rl(expr)
             ^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 87, in null_safe_rl
    result = rule(expr)
             ^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 930, in _alternatives
    result = rule(integral)
             ^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 1891, in substitution_rule
    subrule = integral_steps(substituted, u_var)
              ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 2062, in integral_steps
    result = do_one(
             ^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 108, in do_one_rl
    result = rl(expr)
             ^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 108, in do_one_rl
    result = rl(expr)
             ^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/strategies/core.py", line 87, in null_safe_rl
    result = rule(expr)
             ^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/integrals/manualintegrate.py", line 1801, in trig_substitution_rule
    a_positive = ((a.is_number and a > 0) or a.is_positive)
                                   ^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/core/decorators.py", line 236, in _func
    return func(self, other)
           ^^^^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/core/expr.py", line 371, in __gt__
    return StrictGreaterThan(self, other)
           ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/usr/lib/python3.11/site-packages/sympy/core/relational.py", line 822, in __new__
    raise TypeError("Invalid comparison of non-real %s" % me)
TypeError: Invalid comparison of non-real zoo

Version info

>>> import sympy
>>> sympy.__version__
'1.12'

>python --version
Python 3.11.8
>

For reference the anti derivative should be

In[1]:= <<Rubi`
In[5]:= integrand=Log[c*(d+e*x^n)]/x/(c*e-(-c*d+1)/(x^n))
In[6]:= Int[integrand,x]

Out[6]= -(PolyLog[2,1-c (d+e x^n)]/(c e n))