Q:

The real treasure was the numbers we made along the way

Your task is to write a program, function or snippet (yes, snippets are allowed) that simply outputs an integer. However, you must be able to separate your submission into prefixes that also produce distinct integers. You cannot use any bytes that have appeared in previous prefixes. For example, we can have the prefixes:
1         # 1    (Now we can't use 1)
1-6       # -5   (Now we can't use - or 6)
1-6/3     # -1   (Now we can't use / or 3)
1-6/3+0xA # 9    Final submission

Rules

Your goal is to create to try and create the most unique integers, while keeping them close to zero. 

The scoring system is ((number of unique integers)**3)/(sum of absolute values), where the higher your score, the better. The above example scores \$(4^3)/(1+\lvert-5\rvert+\lvert-1\rvert+9) = 64/16 = 4\$.

There should be at least two unique integers (no dividing by zero!)
Please format your answer similar to:

# Language, \$(4^{3})/16 = 4\$

   1-6/3+0xA (the full program)

Mention if your submission is composed of snippets that evaluate to a value, functions or full programs.
List each of the prefixes and (optionally) an explanation for how they work.

A:

TI-BASIC (TI-84+ CE), \$238^3/14161 = 952.0\$
118-length("+×/ABCDEFGHIJK...

The 256 bytes in TI-BASIC break down thusly:

240 bytes are one-byte tokens that can be quoted
11 are the start of two-byte tokens
2 are unused
The remaining 3 are the ",→, and newline characters which break strings. 

The string contains all 237 allowable bytes in the first category not already in 118-length(.
The program calculates 238 distinct integers, ranging from 118 down to -119. The score is therefore $$ \frac{238^3}{\sum_{n = -119}^{118} |n|} = 952.$$

A:

vim, 14³ / 53 = 51.77
i10<esc>X<c-x>r2hx<c-a>Pa<del>4<c-c>d^s5<c-o>I-<c-o>$<c-o>C6<c-h>7

Try it online! (all prefixes)
Breakdown:
i1                  1
0                   10
<esc>X              0
<c-x>               -1  <c-x> decrements
r2                  -2
hx                  2   hx is X, but we've already used that
<c-a>               3   <c-a> increments
P                   -3  paste the - from two steps ago
a<del>4             -4
<c-c>d^             4   <c-c> is an <esc> alternative
s5                  5
<c-o>I-<c-o>$<c-o>  -5  <c-o> allows a single normal mode input
C6                  -6  trailing <c-o> from previous line used here
<c-h>7              -7  <c-h> = backspace

A:

Lenguage, 256³ / 16384 = 1024
The source code of the solution can be described as follows:
183662808731984092                                         0x00 bytes
4775233027031586288                                        0x01 bytes
27                                                         0x02 bytes
81                                                         0x03 bytes
128931291729852829668                                      0x04 bytes
108                                                        0x05 bytes
648                                                        0x06 bytes
81                                                         0x07 bytes
2079                                                       0x08 bytes
27                                                         0x09 bytes
3481144876706026401009                                     0x0A bytes
108                                                        0x0B bytes
2808                                                       0x0C bytes
27                                                         0x0D bytes
17496                                                      0x0E bytes
81                                                         0x0F bytes
2079                                                       0x10 bytes
27                                                         0x11 bytes
56106                                                      0x12 bytes
756                                                        0x13 bytes
93990911671062712827216                                    0x14 bytes
108                                                        0x15 bytes
2808                                                       0x16 bytes
27                                                         0x17 bytes
75789                                                      0x18 bytes
756                                                        0x19 bytes
474552                                                     0x1A bytes
27                                                         0x1B bytes
81                                                         0x1C bytes
56025                                                      0x1D bytes
756                                                        0x1E bytes
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20439                                                      0x20 bytes
2537754615118693246334805                                  0x21 bytes
108                                                        0x22 bytes
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27                                                         0x24 bytes
75789                                                      0x25 bytes
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12812877                                                   0x29 bytes
108                                                        0x2A bytes
729                                                        0x2B bytes
2079                                                       0x2C bytes
27                                                         0x2D bytes
1512648                                                    0x2E bytes
40920957                                                   0x2F bytes
1689866867948183303767857                                  0x30 bytes
66829507740256534347823839                                 0x31 bytes
2808                                                       0x32 bytes
27                                                         0x33 bytes
75789                                                      0x34 bytes
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27                                                         0x3C bytes
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699060255345705731106938578982346708                       0x82 bytes
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472416520991134187843376319996477587                       0x84 bytes
108                                                        0x85 bytes
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75789                                                      0x88 bytes
108                                                        0x89 bytes
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4851795238070470150902081892625349                         0x8D bytes
18874626894334054739887341632523361116                     0x8E bytes
114078274655132115171                                      0x8F bytes
12755246066760623071771160639904894849                     0x90 bytes
108                                                        0x91 bytes
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27                                                         0x93 bytes
75789                                                      0x94 bytes
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130998471427902694074356211100885179                       0x9B bytes
854006569949556303994892977044130020645                    0x9C bytes
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3536958728553372740007617699723899860                      0xA8 bytes
23058177388638020207862110380191510557388                  0xA9 bytes
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16811989759230232140258944020462709919333792               0xC4 bytes
108                                                        0xC5 bytes
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453923723499216267786991488552493167822012492              0xD4 bytes
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27                                                         0xD6 bytes
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12255940534478839230248770190917315531194337311            0xE3 bytes
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330910394430928659216716795154767519342247107424           0xEA bytes
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55801305                                                   0xEC bytes
1506635235                                                 0xED bytes
22472634223673946                                          0xEE bytes
8934580649635073798851353469178723609411678244474          0xEF bytes
55801305                                                   0xF0 bytes
1506635235                                                 0xF1 bytes
40679151345                                                0xF2 bytes
606761124039196515                                         0xF3 bytes
241233677540146992568986543667825537454115312600825        0xF4 bytes
1506635235                                                 0xF5 bytes
40679151345                                                0xF6 bytes
6513309293583968799362636679031305893812560835614495       0xF7 bytes
40679151345                                                0xF8 bytes
1098337086315                                              0xF9 bytes
175859350926767157582791190333845259132939142561591365     0xFA bytes
1098337086315                                              0xFB bytes
4748202475022713254735362139013821996589386504264297360    0xFC bytes
29655101330505                                             0xFD bytes
128201466825613257877854777753373193907913435615136028720  0xFE bytes
3461439604291557962702078999341076235513663562296408699075 0xFF bytes

Each run of identical bytes combined with the previous runs constitutes a prefix, and the full program is all the strings described above concatenated.
This is an optimal score. (The programs print all numbers from -127 to 128 inclusive.)
To create this answer, first, I copied the Java answer here for generating brainfuck programs to print a string. I ran it with this main function:
public static void main(String[] args) {
    for (int i = -127; i <= 128; ++i) generate(""+i);
}

Then, I ran this Ruby script to generate the human-readable text shown here:
#!/usr/bin/ruby
nums = File.open('f').map do |line|
    line.chomp.sub(/^\+/, '>+').chars.map{|ch|
        '+-><.,[]'.index(ch).to_s(3).rjust(3,?0)
    }.join.to_i 3
end
puts ([0]+nums.sort).each_cons(2).map.with_index{|x,i|"#{x[1]-x[0]} 0x#{i.to_s(16).rjust(2,?0).upcase} bytes"}*"\n"

The largest program is 3594571896764310192036774345469579167648804468538578264427 bytes long (and prints -90).

