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Runti Compl Inner Rewri 22807 pair #381904715
details
property
value
status
complete
benchmark
matrix.raml.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n069.star.cs.uiowa.edu
space
raML
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rci
runtime (wallclock)
79.6043989658 seconds
cpu usage
293.746593862
max memory
6.00195072E8
stage attributes
key
value
output-size
1299484
starexec-result
WORST_CASE(?,O(n^6))
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_rci /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^6)) * Step 1: Sum WORST_CASE(?,O(n^6)) + Considered Problem: - Strict TRS: #abs(#0()) -> #0() #abs(#neg(@x)) -> #pos(@x) #abs(#pos(@x)) -> #pos(@x) #abs(#s(@x)) -> #pos(#s(@x)) *(@x,@y) -> #mult(@x,@y) +(@x,@y) -> #add(@x,@y) attach(@line,@m) -> attach#1(@line,@m) attach#1(::(@x,@xs),@m) -> attach#2(@m,@x,@xs) attach#1(nil(),@m) -> nil() attach#2(::(@l,@ls),@x,@xs) -> ::(::(@x,@l),attach(@xs,@ls)) attach#2(nil(),@x,@xs) -> nil() lineMult(@l,@m2) -> lineMult#1(@m2,@l) lineMult#1(::(@x,@xs),@l) -> ::(mult(@l,@x),lineMult(@l,@xs)) lineMult#1(nil(),@l) -> nil() m1(@x) -> ::(::(#abs(#pos(#s(#0()))),::(#abs(#pos(#s(#s(#0())))),::(#abs(#pos(#s(#s(#s(#0()))))),nil()))) ,::(::(#abs(#pos(#s(#s(#0())))) ,::(#abs(#pos(#s(#s(#s(#0()))))),::(#abs(#pos(#s(#s(#s(#s(#0())))))),nil()))) ,nil())) m2(@x) -> ::(::(#abs(#pos(#s(#0()))),::(#abs(#pos(#s(#s(#0())))),nil())) ,::(::(#abs(#pos(#s(#s(#0())))),::(#abs(#pos(#s(#s(#s(#0()))))),nil())) ,::(::(#abs(#pos(#s(#s(#s(#s(#0())))))),::(#abs(#pos(#s(#s(#s(#s(#s(#0()))))))),nil())) ,nil()))) m3(@x) -> ::(::(#abs(#pos(#s(#0()))) ,::(#abs(#pos(#s(#s(#0())))) ,::(#abs(#pos(#s(#s(#s(#0()))))),::(#abs(#pos(#s(#s(#s(#s(#s(#0()))))))),nil())))) ,::(::(#abs(#pos(#s(#s(#0())))) ,::(#abs(#pos(#s(#s(#s(#0()))))) ,::(#abs(#pos(#s(#s(#s(#s(#0())))))),::(#abs(#pos(#s(#s(#s(#s(#s(#0()))))))),nil())))) ,nil())) m4(@x) -> ::(::(#abs(#pos(#s(#0()))),nil()) ,::(::(#abs(#pos(#s(#s(#0())))),nil()) ,::(::(#abs(#pos(#s(#s(#s(#0()))))),nil()) ,::(::(#abs(#pos(#s(#s(#s(#s(#0())))))),nil()),nil())))) makeBase(@m) -> makeBase#1(@m) makeBase#1(::(@l,@m')) -> mkBase(@l) makeBase#1(nil()) -> nil() matrixMult(@m1,@m2) -> matrixMult'(@m1,transAcc(@m2,makeBase(@m2))) matrixMult'(@m1,@m2) -> matrixMult'#1(@m1,@m2) matrixMult'#1(::(@l,@ls),@m2) -> ::(lineMult(@l,@m2),matrixMult'(@ls,@m2)) matrixMult'#1(nil(),@m2) -> nil() matrixMult3(@m1,@m2,@m3) -> matrixMult(matrixMult(@m1,@m2),@m3) matrixMultList(@acc,@mm) -> matrixMultList#1(@mm,@acc) matrixMultList#1(::(@m,@ms),@acc) -> matrixMultList(matrixMult(@acc,@m),@ms) matrixMultList#1(nil(),@acc) -> @acc matrixMultOld(@m1,@m2) -> matrixMult'(@m1,transpose(@m2)) mkBase(@m) -> mkBase#1(@m) mkBase#1(::(@l,@m')) -> ::(nil(),mkBase(@m')) mkBase#1(nil()) -> nil() mult(@l1,@l2) -> mult#1(@l1,@l2) mult#1(::(@x,@xs),@l2) -> mult#2(@l2,@x,@xs) mult#1(nil(),@l2) -> #abs(#0()) mult#2(::(@y,@ys),@x,@xs) -> +(*(@x,@y),mult(@xs,@ys)) mult#2(nil(),@x,@xs) -> #abs(#0()) split(@m) -> split#1(@m) split#1(::(@l,@ls)) -> split#2(@l,@ls) split#1(nil()) -> tuple#2(nil(),nil()) split#2(::(@x,@xs),@ls) -> split#3(split(@ls),@x,@xs) split#2(nil(),@ls) -> tuple#2(nil(),nil()) split#3(tuple#2(@ys,@m'),@x,@xs) -> tuple#2(::(@x,@ys),::(@xs,@m')) transAcc(@m,@base) -> transAcc#1(@m,@base) transAcc#1(::(@l,@m'),@base) -> attach(@l,transAcc(@m',@base)) transAcc#1(nil(),@base) -> @base transpose(@m) -> transpose#1(@m,@m) transpose#1(::(@xs,@xss),@m) -> transpose#2(split(@m)) transpose#1(nil(),@m) -> nil() transpose#2(tuple#2(@l,@m')) -> transpose#3(@m',@l) transpose#3(::(@y,@ys),@l) -> ::(@l,transpose(::(@y,@ys))) transpose#3(nil(),@l) -> nil() transpose'(@m) -> transAcc(@m,makeBase(@m)) - Weak TRS: #add(#0(),@y) -> @y #add(#neg(#s(#0())),@y) -> #pred(@y) #add(#neg(#s(#s(@x))),@y) -> #pred(#add(#pos(#s(@x)),@y)) #add(#pos(#s(#0())),@y) -> #succ(@y) #add(#pos(#s(#s(@x))),@y) -> #succ(#add(#pos(#s(@x)),@y)) #mult(#0(),#0()) -> #0() #mult(#0(),#neg(@y)) -> #0() #mult(#0(),#pos(@y)) -> #0() #mult(#neg(@x),#0()) -> #0() #mult(#neg(@x),#neg(@y)) -> #pos(#natmult(@x,@y)) #mult(#neg(@x),#pos(@y)) -> #neg(#natmult(@x,@y)) #mult(#pos(@x),#0()) -> #0() #mult(#pos(@x),#neg(@y)) -> #neg(#natmult(@x,@y)) #mult(#pos(@x),#pos(@y)) -> #pos(#natmult(@x,@y)) #natmult(#0(),@y) -> #0() #natmult(#s(@x),@y) -> #add(#pos(@y),#natmult(@x,@y)) #pred(#0()) -> #neg(#s(#0())) #pred(#neg(#s(@x))) -> #neg(#s(#s(@x))) #pred(#pos(#s(#0()))) -> #0() #pred(#pos(#s(#s(@x)))) -> #pos(#s(@x))
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