Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Runti Compl Inner Rewri 22807 pair #381904675
details
property
value
status
complete
benchmark
eratosthenes.raml.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n046.star.cs.uiowa.edu
space
raML
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rci
runtime (wallclock)
13.8798270226 seconds
cpu usage
58.44167233
max memory
1.68062976E8
stage attributes
key
value
output-size
189362
starexec-result
WORST_CASE(?,O(n^2))
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^2)) * Step 1: Sum WORST_CASE(?,O(n^2)) + Considered Problem: - Strict TRS: #equal(@x,@y) -> #eq(@x,@y) *(@x,@y) -> #mult(@x,@y) -(@x,@y) -> #sub(@x,@y) div(@x,@y) -> #div(@x,@y) eratos(@l) -> eratos#1(@l) eratos#1(::(@x,@xs)) -> ::(@x,eratos(filter(@x,@xs))) eratos#1(nil()) -> nil() filter(@p,@l) -> filter#1(@l,@p) filter#1(::(@x,@xs),@p) -> filter#2(filter(@p,@xs),@p,@x) filter#1(nil(),@p) -> nil() filter#2(@xs',@p,@x) -> filter#3(#equal(mod(@x,@p),#0()),@x,@xs') filter#3(#false(),@x,@xs') -> ::(@x,@xs') filter#3(#true(),@x,@xs') -> @xs' mod(@x,@y) -> -(@x,*(@x,div(@x,@y))) - 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)) #and(#false(),#false()) -> #false() #and(#false(),#true()) -> #false() #and(#true(),#false()) -> #false() #and(#true(),#true()) -> #true() #div(#0(),#0()) -> #divByZero() #div(#0(),#neg(@y)) -> #0() #div(#0(),#pos(@y)) -> #0() #div(#neg(@x),#0()) -> #divByZero() #div(#neg(@x),#neg(@y)) -> #pos(#natdiv(@x,@y)) #div(#neg(@x),#pos(@y)) -> #neg(#natdiv(@x,@y)) #div(#pos(@x),#0()) -> #divByZero() #div(#pos(@x),#neg(@y)) -> #neg(#natdiv(@x,@y)) #div(#pos(@x),#pos(@y)) -> #pos(#natdiv(@x,@y)) #eq(#0(),#0()) -> #true() #eq(#0(),#neg(@y)) -> #false() #eq(#0(),#pos(@y)) -> #false() #eq(#0(),#s(@y)) -> #false() #eq(#neg(@x),#0()) -> #false() #eq(#neg(@x),#neg(@y)) -> #eq(@x,@y) #eq(#neg(@x),#pos(@y)) -> #false() #eq(#pos(@x),#0()) -> #false() #eq(#pos(@x),#neg(@y)) -> #false() #eq(#pos(@x),#pos(@y)) -> #eq(@x,@y) #eq(#s(@x),#0()) -> #false() #eq(#s(@x),#s(@y)) -> #eq(@x,@y) #eq(::(@x_1,@x_2),::(@y_1,@y_2)) -> #and(#eq(@x_1,@y_1),#eq(@x_2,@y_2)) #eq(::(@x_1,@x_2),nil()) -> #false() #eq(nil(),::(@y_1,@y_2)) -> #false() #eq(nil(),nil()) -> #true() #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)) #natdiv(#0(),#0()) -> #divByZero() #natdiv(#s(@x),#s(@y)) -> #s(#natdiv(#natsub(@x,@y),#s(@y))) #natmult(#0(),@y) -> #0() #natmult(#s(@x),@y) -> #add(#pos(@y),#natmult(@x,@y)) #natsub(@x,#0()) -> @x #natsub(#s(@x),#s(@y)) -> #natsub(@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)) #sub(@x,#0()) -> @x #sub(@x,#neg(@y)) -> #add(@x,#pos(@y)) #sub(@x,#pos(@y)) -> #add(@x,#neg(@y)) #succ(#0()) -> #pos(#s(#0())) #succ(#neg(#s(#0()))) -> #0() #succ(#neg(#s(#s(@x)))) -> #neg(#s(@x)) #succ(#pos(#s(@x))) -> #pos(#s(#s(@x))) - Signature: {#add/2,#and/2,#div/2,#eq/2,#equal/2,#mult/2,#natdiv/2,#natmult/2,#natsub/2,#pred/1,#sub/2,#succ/1,*/2,-/2 ,div/2,eratos/1,eratos#1/1,filter/2,filter#1/2,filter#2/3,filter#3/3,mod/2} / {#0/0,#divByZero/0,#false/0 ,#neg/1,#pos/1,#s/1,#true/0,::/2,nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {#add,#and,#div,#eq,#equal,#mult,#natdiv,#natmult,#natsub ,#pred,#sub,#succ,*,-,div,eratos,eratos#1,filter,filter#1,filter#2,filter#3,mod} and constructors {#0 ,#divByZero,#false,#neg,#pos,#s,#true,::,nil} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DependencyPairs WORST_CASE(?,O(n^2)) + Considered Problem: - Strict TRS:
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Runti Compl Inner Rewri 22807