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Runti Compl Inner Rewri 22807 pair #381904022
details
property
value
status
complete
benchmark
jones1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n058.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rci
runtime (wallclock)
0.135928153992 seconds
cpu usage
0.509264724
max memory
2.0443136E7
stage attributes
key
value
output-size
2674
starexec-result
WORST_CASE(Omega(n^1),O(n^1))
output
/export/starexec/sandbox2/solver/bin/starexec_run_tct_rci /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1),O(n^1)) * Step 1: Sum WORST_CASE(Omega(n^1),O(n^1)) + Considered Problem: - Strict TRS: r1(cons(x,k),a) -> r1(k,cons(x,a)) r1(empty(),a) -> a rev(ls) -> r1(ls,empty()) - Signature: {r1/2,rev/1} / {cons/2,empty/0} - Obligation: innermost runtime complexity wrt. defined symbols {r1,rev} and constructors {cons,empty} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () ** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: r1(cons(x,k),a) -> r1(k,cons(x,a)) r1(empty(),a) -> a rev(ls) -> r1(ls,empty()) - Signature: {r1/2,rev/1} / {cons/2,empty/0} - Obligation: innermost runtime complexity wrt. defined symbols {r1,rev} and constructors {cons,empty} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: r1(y,z){y -> cons(x,y)} = r1(cons(x,y),z) ->^+ r1(y,cons(x,z)) = C[r1(y,cons(x,z)) = r1(y,z){z -> cons(x,z)}] ** Step 1.b:1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: r1(cons(x,k),a) -> r1(k,cons(x,a)) r1(empty(),a) -> a rev(ls) -> r1(ls,empty()) - Signature: {r1/2,rev/1} / {cons/2,empty/0} - Obligation: innermost runtime complexity wrt. defined symbols {r1,rev} and constructors {cons,empty} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- cons :: ["A"(0) x "A"(15)] -(15)-> "A"(15) cons :: ["A"(0) x "A"(0)] -(0)-> "A"(0) empty :: [] -(0)-> "A"(15) empty :: [] -(0)-> "A"(8) r1 :: ["A"(15) x "A"(0)] -(3)-> "A"(0) rev :: ["A"(15)] -(12)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "cons_A" :: ["A"(0) x "A"(1)] -(1)-> "A"(1) "empty_A" :: [] -(0)-> "A"(1) WORST_CASE(Omega(n^1),O(n^1))
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