I can still see this message:
Warning: file_exists() [function.file-exists]: open_basedir restriction in effect. File(/tmp/wpsearch) is not within the allowed path(s):....
....WPSearch/Log.php on line 156, 161
I manually added a subdirectory tmp (wp-content/tmp) but it did not fix the problem. No standard relevant warning in plugin's interface is visible (permissions etc.) only this notice:
FastCGI is enabled on this server. You may have to extend your FastCGI timout for WPSearch to index properly.
Thank you very much, with regards Joo