brules=<<RuleSearching/rulelist.ss1.m;
Length[brules]
723
Number of rulesets with different numbers of rules:
{First[#],Length[#]}&/@Split[Length/@brules]
{{1,14},{2,43},{3,87},{4,129},{5,192},{6,258}}
Last[brules]
{{4{1,5,6},5{2,4,6},6{3,4,5}}{4{5,6,7},5{1,4,8},6{2,4,8},7{3,4,8},8{5,6,7}},{6{7,8,9},7{3,6,8},8{4,6,7},9{5,6,10},10{1,2,9}}{6{7,8,9},7{1,6,10},8{2,6,10},9{3,4,6},10{5,7,8}},{4{5,6,7},5{1,4,8},6{2,4,8},7{3,4,8},8{5,6,7}}{4{1,5,6},5{2,4,6},6{3,4,5}},{6{7,8,9},7{4,6,10},8{5,6,10},9{1,2,6},10{3,7,8}}{6{7,8,9},7{1,6,8},8{2,6,7},9{3,6,10},10{4,5,9}},{6{7,8,9},7{3,6,10},8{4,6,10},9{1,2,6},10{5,7,8}}{6{7,8,9},7{1,6,10},8{2,6,10},9{3,4,6},10{5,7,8}},{6{1,7,8},7{4,6,9},8{5,6,10},9{3,7,10},10{2,8,9}}{6{1,7,8},7{2,6,9},8{3,6,10},9{4,7,10},10{5,8,9}}}
Show[RulePicture[%]];
distinctRules=Union[Flatten[brules,1]];
Length[%]
28
Show[GraphicsColumn[RulePicture[{#}]&/@distinctRules]];
Last[brules]
{{4{1,5,6},5{2,4,6},6{3,4,5}}{4{5,6,7},5{1,4,8},6{2,4,8},7{3,4,8},8{5,6,7}},{6{7,8,9},7{3,6,8},8{4,6,7},9{5,6,10},10{1,2,9}}{6{7,8,9},7{1,6,10},8{2,6,10},9{3,4,6},10{5,7,8}},{4{5,6,7},5{1,4,8},6{2,4,8},7{3,4,8},8{5,6,7}}{4{1,5,6},5{2,4,6},6{3,4,5}},{6{7,8,9},7{4,6,10},8{5,6,10},9{1,2,6},10{3,7,8}}{6{7,8,9},7{1,6,8},8{2,6,7},9{3,6,10},10{4,5,9}},{6{7,8,9},7{3,6,10},8{4,6,10},9{1,2,6},10{5,7,8}}{6{7,8,9},7{1,6,10},8{2,6,10},9{3,4,6},10{5,7,8}},{6{1,7,8},7{4,6,9},8{5,6,10},9{3,7,10},10{2,8,9}}{6{1,7,8},7{2,6,9},8{3,6,10},9{4,7,10},10{5,8,9}}}
UEvolve[Last[brules],asym,10]
{{1,1,1,3,1,3,1,3,1,3},{12,14,16,18,16,18,16,18,16,18,16},{1{15,8,7},2{10,16,3},4{6,18,12},5{10,18,12},6{4,9,7},7{6,8,1},9{6,8,10},10{9,2,5},11{17,16,3},16{11,2,15},18{5,4,17},15{1,16,3},3{11,2,15},8{9,7,1},17{11,18,12},12{5,4,17}}}
Take[brules,-10];
Take[UEvolve[#,asym,10],2]&/@%
{{{1,1,1,2,2,2,2,2,2,2},{12,14,16,18,18,18,18,18,18,18,18}},{{1,1,1,2,2,2,2,2,2,2},{12,14,16,18,18,18,18,18,18,18,18}},{{1,1,1,2,2,2,2,2,2,2},{12,14,16,18,18,18,18,18,18,18,18}},{{1,1,1,4,1,4,1,4,1,4},{12,14,16,18,16,18,16,18,16,18,16}},{{1,1,1,4,1,4,1,4,1,4},{12,14,16,18,16,18,16,18,16,18,16}},{{1,1,1,4,1,4,1,4,1,4},{12,14,16,18,16,18,16,18,16,18,16}},{{1,1,1,4,1,4,1,4,1,4},{12,14,16,18,16,18,16,18,16,18,16}},{{1,1,1,4,1,4,1,4,1,4},{12,14,16,18,16,18,16,18,16,18,16}},{{1,1,1,3,1,3,1,3,1,3},{12,14,16,18,16,18,16,18,16,18,16}},{{1,1,1,3,1,3,1,3,1,3},{12,14,16,18,16,18,16,18,16,18,16}}}