Self explanatory. Also don't use infinity in your number, cause that ruins the fun.
Start: 1e308
Make a bigger number

this thread has a solution!

Tar^Rayo({10, 10, [1 [1 \ 2] 2]})(Tar({10, 10, [1 [1 \ 2] 2]})^Tar({10, 10, [1 [1 \ 2] 2]}))

Rayo's number

Rayo's number + 1

Rayo's number x 10

Rayos number ^ Tree(3)

Rayo(Rayos number ^ Tree(3))

Rayo^5(Rayo's number)=Rayo(Rayo(Rayo(Rayo(Rayo(Rayo's number)))))

Rayo^(Rayo^5(Rayo's number)(Rayo's number)

I'm gonna shorten Rayo(x) down to R(x) for this
TREE^(TREE(3))(Rayo^(Rayo^5(Rayo's number)(Rayo's number))

SSCG(3)

thats smaller youre disqualified
but
{R^(R^(R^(...(rayos number times)...(R^(Rayos number), Rayos number, Rayos number, Rayos number}

surprised nobody's beaten mine

{R^(R^(R^(...({R^(R^(R^(...({R^(R^(R^(...(rayos number times)...(R^(Rayos number), Rayos number, Rayos number, Rayos number})...(R^(Rayos number), Rayos number, Rayos number, Rayos number})...(R^(Rayos number), Rayos number, Rayos number, Rayos number}

{SSCG(SSCG(R^(R^(tree(TAR(2)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(4),TREE(4),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(3))))),TAR(8),TAR(8),10}

{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10}^^^8

A lot

Icecreamdude says:
A lot
How much exactly?

{{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}

{{{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}}

{{{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}}^^^^^^^^^^^3^^954^Tree(5)

Is E(303)Tree(Tree3) rookie numbers here

ok at this point your just copy pasting now

nah

{{{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}}
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{{{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}}
{{{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}}
{{{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}}
{{{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}, {{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(TREE(3)),TREE(5),TREE(5),TREE(4),TREE(4),SCCG(R^(R^(R^(R^(TREE(5))))),TAR(8),TAR(8),10},{SSCG(SSCG(TAR(6)))},TAR(3),TAR(3),R^(R^(R^(TREE))),TAR(3)^2}}
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{{{SSCG(SSCG(R^(R^(tree(TAR(5)))))),TREE(TREE(R^(SSCG(SSCG(R^(R^(TREE(TAR(3))))))))),TAR(

Too much copy and paste

Rayo(Rayo(...)^(Rayo(...)^Rayo(...))^Rayo(Rayo(...)^(Rayo(...)^Rayo(...))^Rayo(Rayo(...)^(Rayo(...)^Rayo(...))
(each ... is the function itself, which is nested inside of itself Rayo(10^100) times)

Tar^Rayo({10, 10, [1 [1 \ 2] 2]})(Tar({10, 10, [1 [1 \ 2] 2]})^Tar({10, 10, [1 [1 \ 2] 2]}))

large number garden number L

1.79e308 (infinity but unformated)

{LNGN L, L, L, L, [L [ L / L / L] L, L, L, L}
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