Tweak omnibox parsing heuristics more:

chrome/browser/autocomplete/history_url_provider.cc

 // Copyright (c) 2011 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 #include "chrome/browser/autocomplete/history_url_provider.h"
 
 #include <algorithm>
 
 #include "base/basictypes.h"
 #include "base/bind.h"
@@ skipping 363 matching lines @@
   // * They hit ctrl-enter, or we parsed the input as a URL, or it starts with
   //   an explicit "http:" or "https:".
   // Otherwise, this is just low-quality noise.  In the cases where we've parsed
   // as UNKNOWN, we'll still show an accidental search infobar if need be.
   bool have_what_you_typed_match =
       params->input.canonicalized_url().is_valid() &&
       (params->input.type() != AutocompleteInput::QUERY) &&
       ((params->input.type() != AutocompleteInput::UNKNOWN) ||
        (classifier.type() == VisitClassifier::UNVISITED_INTRANET) ||
        !params->trim_http ||
-       url_util::FindAndCompareScheme(UTF16ToUTF8(params->input.text()),
-                                      chrome::kHttpsScheme, NULL));
+       (AutocompleteInput::NumNonHostComponents(params->input.parts()) > 0));
   AutocompleteMatch what_you_typed_match(SuggestExactInput(params->input,
                                                            params->trim_http));
 
   // Get the matching URLs from the DB
   typedef std::vector<history::URLRow> URLRowVector;
   URLRowVector url_matches;
   history::HistoryMatches history_matches;
 
   for (history::Prefixes::const_iterator i(prefixes_.begin());
        i != prefixes_.end(); ++i) {
@@ skipping 549 matching lines @@
         &match.contents_class);
   }
   match.description = info.title();
   AutocompleteMatch::ClassifyMatchInString(params->input.text(),
                                            info.title(),
                                            ACMatchClassification::NONE,
                                            &match.description_class);
 
   return match;
 }