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Why is this? Would anyone with a better understanding of the situation care to explain why it would be faster?
Not sure if this is the primary reason, but:

"Look for specified patterns in the tracked files in the work tree"

http://git-scm.com/docs/git-grep

Presumably, this would exclude a lot of assets or libraries that aren't part of your branch/repo, don't know what the OP's setup was (are those 11K+ files all tracked?).

If you have a compiled project, files that aren't tracked include all of your intermediate .o files, for example. If you `grep -r` the wrong way, it may traverse the .git directory.
If I were to guess, I would think grep has to traverse the directory tree while git knows all the file names already.
This I don't believe to be true. For many years, I have kept a file with all the filenames in it, and did a grep on the files in the list, and it is slower than git-grep.
Doesn't git already have a compressed and optimized index of your files?
In a packed repo, git grep can mmap the pack file once and search through it in one fell swoop. If the pack file isn't already in the filesystem buffer, mmap will get it there quickly. The number of system calls is O(1).

The limitation, as others have said, is git grep won't match files that are not already checked in.

In a regular directory tree, recursive grep has to open and read directories, stat files, and read (or mmap?) each individual file. The number of system calls is O(N) on the number of directory entries.

I haven't been able to figure out how to match a one-sided word boundary using git-grep. For example, say a file includes the word "router". You can do this to match the exact word:

  git grep -w router
But what if you want to match just the word boundary at the start ("rout") or at the end ("outer")?
git grep -E '\brout|outer\b'
Are you sure this works? I've tried it many times.
The "--perl-regexp" flag to git grep enables perl flavored regexes, which contain explicit word boundary matching. To match only word starts, you could use the following:

    git grep --perl-regexp "\brout"

and for just word endings

    git grep --perl-regexp "outer\b"
This doesn't work for me, nor do the other two users' suggestions. I even just rebuilt git in case my version was out of date.
Are you using homebrew?

  $ brew info git 
  git: stable 1.8.3.2, HEAD
  http://git-scm.com
  /usr/local/Cellar/git/HEAD (1324 files, 29M) *
    Built from source with: --with-blk-sha1 --with-pcre
  From: https://github.com/mxcl/homebrew/commits/master/Library/Formula/git.rb
  ==> Dependencies
  Optional: pcre, gettext
  ==> Options
  --with-blk-sha1
	Compile with the block-optimized SHA1 implementation
  --with-gettext
	Build with gettext support
  --with-pcre
	Build with pcre support
  --without-completions
	Disable bash/zsh completions from "contrib" directory

What does "built from source with" say?
I don't use homebrew, but your comment made me realize what I needed to do to successfully compile git with pcre. As a result, this now works:

  git grep -P "outer\b"
Yay! Thank you and moonboots.

This is an important feature for me, because I organize my code lexically (primarily by being disciplined about using unique names for things) and rely on grep to quickly find what I want. Occasionally one unique name overlaps with another, and then I really want to match the word boundary.

git grep '\<rout'
This is the syntax I use in Emacs, so I would love it if git-grep would do the same. But it doesn't, for me. Are you sure that it does for you?
The standard grep symbols for beginning and end of word are \< and \>

So try those. (I don't have a git repo handy to test)

(edit: I tested and it works)

Even better: use pss (https://github.com/eliben/pss)

It's not git-exclusive and has a ton of additional capabilities and features. Besides, being a pure Python program it's very easy to tweak if there's something you want done differently.

[Disclaimer: shameless plug]

I use ag, but it's good to know this exists, I hadn't seen it before; good to have if I ever needed grep-as-library-code.
"Grep too slow?" no...
On large enough code bases, git grep is much faster than grep. Couple that with repo for git and repo grep, and searching is painless. grep is fast, but the nature of git grep only makes it faster.
The Silver Searcher is where it's at:

https://github.com/ggreer/the_silver_searcher

Yea I have a lot of respect for little ag, used as much as my editor is.
Thanks for the pointer! Had seen this before and never really checked it out. It's crazy fast. Some very unscientific testing showed searching for a word in a project I'm working on took 0.07s with ag and 21.7s with ack and 16.3s with grep. Not at all definitive, but I'm definitely going to keep trying ag.
I'm glad you (and many others) like it. I've neglected Ag lately, but I'll definitely come back to it once I'm less busy (probably in the fall). There are some features users still want, but it's tricky to implement them without performance regressions.
It amazes me every time that I use it. You did a fantastic job. Thank you
I remember these scripts coming up a while ago here, along with some scathing criticism.

How does it compare to ack? How did you go retraining the muscle memory used to type grep -E?

Or at least ack, which came before it and still kicks grep's ass.
I would like to know what version of grep is being used? GNU or BSD grep? My money is that it is a OSX box with BSD grep.[1]

Using a clone of linus' kernel on a six year old amd64 box running debian/sid:

  (master):dfc@fob-xray:~/lk$ time git grep "leap second" > /dev/null

  real    0m0.739s
  user    0m0.540s
  sys     0m0.650s
  (master):dfc@fob-xray:~/lk$ time grep -r --exclude-dir=.git "leap second" . > /dev/null

  real    0m0.833s
  user    0m0.400s
  sys     0m0.430s
  (master):dfc@fob-xray:~/lk$ du -sh .
  1.4G    .

[1] http://lists.freebsd.org/pipermail/freebsd-current/2010-Augu...

ADDENDUM:

After running a test on a Mac mini with 10.8.4 and a clone of the same repository I am overly confident that the title should be "BSD grep too slow? Use git-grep or GNU grep":

  jumbo:lk dfc$ purge ; time grep -r --exclude-dir=.git "leap second" . > /dev/null

  real	1m8.479s
  user	0m32.229s
  sys	0m2.348s
  jumbo:lk dfc$ purge ; time ggrep -r --exclude-dir=.git "leap second" . > /dev/null

  real	0m41.844s
  user	0m1.682s
  sys	0m6.035s
  jumbo:lk dfc$ purge ; time git grep "leap second" > /dev/null

  real	0m37.325s
  user	0m1.423s
  sys	0m4.213s
  jumbo:lk dfc$ gdu -sh .
  1.3G	.
You can read `ggrep` as either GNU grep or good grep.
Well shoot. `brew install grep` is is then.

And there's also ack, and ag... no shortage of options that are better than BSD grep, apparently.

It's not "WOW GNU grep is fast!" it's, "wow, BSD grep is slow."

(comment deleted)
Which is why that reference has been included in my comment from the beginning.
Another way of speeding up grep is to turn off Unicode. Check your LANG environment variable -- if it is set to en_US.UTF-8 (or simething similar), set it to C then run grep. Also speeds up wc, and makes sort behave better.

Note, you can also export environment variables for a specific command, if you don't want to change it for your whole shell, by specifying "variable=value" before the command:

  LANG=C grep ...
Are you sure this is still true? I thought that bug was fixed a little while ago?

ADDENDUM:

I remembered discussing this a while back and I just found my old comment. Someone said "fun fact, gnu grep is slow with UTF8"[1] and I said "funner fact gnu grep was slow with UTF8"[2]. I reran the same grep that I used elsewhere in this discussion with C and with UTF8:

  root@fob-xray:lk# sync ; echo 3 > /proc/sys/vm/drop_caches  
  root@fob-xray:lk# declare -x LANG=C ; /usr/bin/time grep --exclude-dir=.git -r "leap second" . > /dev/null
  0.51user 3.04system 1:28.40elapsed 4%CPU (0avgtext+0avgdata 992maxresident)k
  0inputs+0outputs (3major+340minor)pagefaults 0swaps

  root@fob-xray:lk# sync ; echo 3 > /proc/sys/vm/drop_caches  
  root@fob-xray:lk# declare -x LANG=en_US.UTF-8 ; /usr/bin/time grep --exclude-dir=.git -r "leap second" . > /dev/null
  0.41user 3.44system 1:27.01elapsed 4%CPU (0avgtext+0avgdata 1100maxresident)k
  0inputs+0outputs (2major+367minor)pagefaults 0swaps
I think you must have a version of GNU grep before 2.7.3 or 2.7.1. The UTF problem seems to have disappeared. There is a decent amount of information in the debian bug report[3].

[1] https://news.ycombinator.com/item?id=2860932

[2] https://news.ycombinator.com/item?id=2862543

[3] http://bugs.debian.org/cgi-bin/bugreport.cgi?bug=604408

Your right -- I've been stuck with older RHEL 4 systems at work, and they run grep 2.5.something (although I'm not able to reproduce the problem at home now, maybe I'm not on an old enough RHEL 4 system -- will check when I get back to work). Problem disappears with the grep in RHEL 6. However there are still glitches in the sort command. For example:

   ls -lh |sort +4 -5 -h
doesn't work (at least on my RHEL 6.4 box), yet:

    ls -lh |LANG=C sort +4 -5 -h
does work.
Wow sort is misbehaving, but I cannot verbalize the problem. I ran your two ls invocations on the kernel source directory and diffed the output.

  --- /tmp/withutf 2013-07-09 21:03:23.060064079 -0400
  +++ /tmp/withC 2013-07-09 21:03:30.069578205 -0400
  @@ -1,26 +1,26 @@
  total 544K
  -rw-r--r-- 1 dfc dfc 252 Jul 9 19:27 Kconfig
  -rw-r--r-- 1 dfc dfc 2.5K Jul 9 19:27 Kbuild
  -drwxr-xr-x 113 dfc dfc 4.0K Jul 9 19:27 drivers
  +drwxr-xr-x 2 dfc dfc 4.0K Jul 9 19:27 init
  +drwxr-xr-x 2 dfc dfc 4.0K Jul 9 19:27 ipc
  +drwxr-xr-x 2 dfc dfc 4.0K Jul 9 19:27 mm
  +drwxr-xr-x 2 dfc dfc 4.0K Jul 9 19:27 usr
  +drwxr-xr-x 3 dfc dfc 4.0K Jul 9 19:27 block
  +drwxr-xr-x 3 dfc dfc 4.0K Jul 9 19:27 virt
  +drwxr-xr-x 4 dfc dfc 4.0K Jul 9 19:27 crypto
  +drwxr-xr-x 9 dfc dfc 4.0K Jul 9 19:27 lib
  +drwxr-xr-x 9 dfc dfc 4.0K Jul 9 19:27 security
  drwxr-xr-x 11 dfc dfc 4.0K Jul 9 19:27 kernel
  drwxr-xr-x 12 dfc dfc 4.0K Jul 9 19:27 samples
  drwxr-xr-x 13 dfc dfc 4.0K Jul 9 19:27 scripts
  drwxr-xr-x 17 dfc dfc 4.0K Jul 9 19:27 tools
  drwxr-xr-x 22 dfc dfc 4.0K Jul 9 19:27 sound
  drwxr-xr-x 26 dfc dfc 4.0K Jul 9 19:27 include
  -drwxr-xr-x 2 dfc dfc 4.0K Jul 9 19:27 init
  -drwxr-xr-x 2 dfc dfc 4.0K Jul 9 19:27 ipc
  -drwxr-xr-x 2 dfc dfc 4.0K Jul 9 19:27 mm
  -drwxr-xr-x 2 dfc dfc 4.0K Jul 9 19:27 usr
  drwxr-xr-x 32 dfc dfc 4.0K Jul 9 19:27 arch
  drwxr-xr-x 36 dfc dfc 4.0K Jul 9 19:27 firmware
  -drwxr-xr-x 3 dfc dfc 4.0K Jul 9 19:27 block
  -drwxr-xr-x 3 dfc dfc 4.0K Jul 9 19:27 virt
  -drwxr-xr-x 4 dfc dfc 4.0K Jul 9 19:27 crypto
  drwxr-xr-x 55 dfc dfc 4.0K Jul 9 19:27 net
  drwxr-xr-x 73 dfc dfc 4.0K Jul 9 19:27 fs
  -drwxr-xr-x 9 dfc dfc 4.0K Jul 9 19:27 lib
  -drwxr-xr-x 9 dfc dfc 4.0K Jul 9 19:27 security
  +drwxr-xr-x 113 dfc dfc 4.0K Jul 9 19:27 drivers
  -rw-r--r-- 1 dfc dfc 7.4K Jul 9 19:27 REPORTING-BUGS
  drwxr-xr-x 101 dfc dfc 12K Jul 9 19:27 Documentation
  -rw-r--r-- 1 dfc dfc 19K Jul 9 19:27 COPYING
There were differences in the output but I am not sure if that is a bug or if it has to do with locale rules for sorting. What do you think is broken with sort?

There seems to be a bug regarding utf and sort in debian[1] but I am not sure if it is the same problem. Do you know if there is a bug in redhat's bugzilla for the issue? Up until this thread I did not realize sort behaved differently depending on the locale.[2] Are you sure its not a difference in locale expectations on how strings are sorted?

[1] http://bugs.debian.org/cgi-bin/bugreport.cgi?bug=695489

[2] http://stackoverflow.com/questions/5909404/sort-not-sorting-...

One is sorting "intelligently" numerically, the other is just comparing ascii values, on the first numerical field.
Thank you for indulging our rather off topic curiosity. Just so I am clear are you saying the reason for the difference in sorting has to do with locale interpretations and is not a bug in sort?
The -h option is supposed to sort numerically when the numbers are in "human readable" format (i.e., 42k instead of 42137), as in the matching -h option for ls (and other commands). And the "+4 -5 -h" will sort on the 5'th column. It works great if you aren't using -h (sort +4 -5 -n, with a regular "ls -l" command). Also, works if the number is in the first column (as in: du -h |sort -h).