For script tools and stand-alone scripts (scripts run outside of an ArcGIS application), you can enable or disable history logging using the SetLogHistory function.
When running a script, history logging is activated by default. To disable history logging, use arcpy.SetLogHistory(False).
True to enable geoprocessing logging history and False to disable.
Turn off geoprocessing log history.
import arcpy arcpy.SetLogHistory(False)