This takes 11 seconds even without the debug print outs:

$ GET -dx https://webkeks.org/hg/static/hglogo.png 2>&1 | perl -n
 -e 'print "", time, " ", $_' | sort | uniq -c

      1 1230937382 LWP::Protocol::http::request: ()
      1 1230937382 LWP::UserAgent::_need_proxy: Not proxied
      1 1230937382 LWP::UserAgent::new: ()
      1 1230937382 LWP::UserAgent::request: ()
      1 1230937382 LWP::UserAgent::send_request: GET https://webkeks.org/hg/static/hglogo.png
    132 1230937384 LWP::Protocol::collect: read 1 bytes
    570 1230937385 LWP::Protocol::collect: read 1 bytes
    550 1230937386 LWP::Protocol::collect: read 1 bytes
    569 1230937387 LWP::Protocol::collect: read 1 bytes
    550 1230937388 LWP::Protocol::collect: read 1 bytes
    550 1230937389 LWP::Protocol::collect: read 1 bytes
    551 1230937390 LWP::Protocol::collect: read 1 bytes
    550 1230937391 LWP::Protocol::collect: read 1 bytes
    101 1230937392 LWP::Protocol::collect: read 1 bytes
      1 1230937392 LWP::UserAgent::request: Simple response: OK

$ GET -dx https://webkeks.org/hg/static/hglogo.png 2>&1 | perl -n -e 'print "", time, " ", $_' | sort | uniq -c
      1 1230964203 LWP::Protocol::http::request: ()
      1 1230964203 LWP::UserAgent::_need_proxy: Not proxied
      1 1230964203 LWP::UserAgent::new: ()
      1 1230964203 LWP::UserAgent::request: ()
      1 1230964203 LWP::UserAgent::send_request: GET https://webkeks.org/hg/static/hglogo.png
      1 1230964206 LWP::Protocol::collect: read 27 bytes
      1 1230964206 LWP::Protocol::collect: read 4096 bytes
      1 1230964206 LWP::UserAgent::request: Simple response: OK