Since these integrals are run in a batch mode, using an automated script, and by using sagemath (SageMath uses Maxima), then any integral where Maxima needs an interactive response from the user to answer a question during evaluation of the integral in order to complete the integration, will fail and is counted as failed.
The exception raised is ValueError. Therefore Maxima result below is lower than what could result if Maxima was run directly and each question Maxima asks was answered correctly.
The percentage of such failures were not counted for each test file, but for an example, for the Timofeev test file, there were about 14 such integrals out of total 705, or about 2 percent. This pecrentage can be higher or lower depending on the specific input test file.
Such integrals can be indentified by looking at the output of the integration in each section for Maxima. The exception message will indicate of the error is due to the interactive question being asked or not.
Maxima integrate was run using SageMath with the following settings set by default
'besselexpand : true' 'display2d : false' 'domain : complex' 'keepfloat : true' 'load(to_poly_solve)' 'load(simplify_sum)' 'load(abs_integrate)' 'load(diag)'
SageMath loading of Maxima abs_integrate was found to cause some problem. So the following code was added to disable this effect.
from sage.interfaces.maxima_lib import maxima_lib maxima_lib.set('extra_definite_integration_methods', '[]') maxima_lib.set('extra_integration_methods', '[]')
See https://ask.sagemath.org/question/43088/integrate-results-that-are-different-from-using-maxima/ for reference.