Valgrind's massif tool will not profile my application
If the application is statically linked, it cannot be analyzed using valgrind. Valgrind works by providing it's own version of the allocation functions to your program, which it accomplishes by overriding the dynamic lookup.
If you can dynamically link with the standard libraries (libc and libstdc++), then it should probably be able to perform the memory analysis you're looking for.
From the Valgrind FAQ:
Second, if your program is statically linked, most Valgrind tools won't work as well, because they won't be able to replace certain functions, such as malloc, with their own versions.