1 character typo generating most error messages from C++ compilation
gcc 4.5.2, Score: 8579.15 (or 14367.49 for filename "a.C", may update later)

Original file, 29 bytes, compiles clean (a.cpp):

#if 0
#include"a.cpp"
#endif


Modified file, 30 bytes:

#iff 0
#include"a.cpp"
#endif


Errors:

$ gcc -c a.cpp 2&gt;&amp;1 | wc -c
1286873


Score:

1286873 / (30 * 5) = 8579.15

Head and tail of error output:

a.cpp:1:2: error: invalid preprocessing directive #iff
In file included from a.cpp:2:0:
a.cpp:1:2: error: invalid preprocessing directive #iff
In file included from a.cpp:2:0,
                 from a.cpp:2:
a.cpp:1:2: error: invalid preprocessing directive #iff
In file included from a.cpp:2:0,
                 from a.cpp:2,
                 from a.cpp:2:
a.cpp:1:2: error: invalid preprocessing directive #iff
In file included from a.cpp:2:0,
                 from a.cpp:2,
                 from a.cpp:2,
                 from a.cpp:2:
a.cpp:1:2: error: invalid preprocessing directive #iff
In file included from a.cpp:2:0,
                 from a.cpp:2,
                 from a.cpp:2,
                 from a.cpp:2,
                 from a.cpp:2:
a.cpp:1:2: error: invalid preprocessing directive #iff
In file included from a.cpp:2:0,
                 from a.cpp:2,
                 from a.cpp:2,
                 from a.cpp:2,
                 from a.cpp:2,
                 from a.cpp:2:

... And so on, backing out with second error after max include depth:

a.cpp:3:2: error: #endif without #if
In file included from a.cpp:2:0,
                 from a.cpp:2,
                 from a.cpp:2,
                 from a.cpp:2,
                 from a.cpp:2:
a.cpp:3:2: error: #endif without #if
In file included from a.cpp:2:0,
                 from a.cpp:2,
                 from a.cpp:2,
                 from a.cpp:2:
a.cpp:3:2: error: #endif without #if
In file included from a.cpp:2:0,
                 from a.cpp:2,
                 from a.cpp:2:
a.cpp:3:2: error: #endif without #if
In file included from a.cpp:2:0,
                 from a.cpp:2:
a.cpp:3:2: error: #endif without #if
In file included from a.cpp:2:0:
a.cpp:3:2: error: #endif without #if
a.cpp:3:2: error: #endif without #if


Note:
- If .C ends up qualifying as a valid extension then score is 1,206,869 / (28 * 3) = 14,367.49.
- If Dennis' suggested second #include is added, file name "a.cpp", score is 80,797,292,934 / (46 * 5) = 351,292,578.97