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Runti Compl Full Rewri 10127 pair #381903290
details
property
value
status
complete
benchmark
2.14.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n045.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
0.232333898544 seconds
cpu usage
0.886130909
max memory
3.8035456E7
stage attributes
key
value
output-size
3905
starexec-result
WORST_CASE(Omega(n^1),O(n^1))
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_rc /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) double(0()) -> 0() double(s(x)) -> s(s(double(x))) half(0()) -> 0() half(double(x)) -> x half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) if(0(),y,z) -> y if(s(x),y,z) -> z - Signature: {-/2,double/1,half/1,if/3} / {0/0,s/1} - Obligation: runtime complexity wrt. defined symbols {-,double,half,if} and constructors {0,s} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () ** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) double(0()) -> 0() double(s(x)) -> s(s(double(x))) half(0()) -> 0() half(double(x)) -> x half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) if(0(),y,z) -> y if(s(x),y,z) -> z - Signature: {-/2,double/1,half/1,if/3} / {0/0,s/1} - Obligation: runtime complexity wrt. defined symbols {-,double,half,if} and constructors {0,s} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: -(x,y){x -> s(x),y -> s(y)} = -(s(x),s(y)) ->^+ -(x,y) = C[-(x,y) = -(x,y){}] ** Step 1.b:1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) double(0()) -> 0() double(s(x)) -> s(s(double(x))) half(0()) -> 0() half(double(x)) -> x half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) if(0(),y,z) -> y if(s(x),y,z) -> z - Signature: {-/2,double/1,half/1,if/3} / {0/0,s/1} - Obligation: runtime complexity wrt. defined symbols {-,double,half,if} and constructors {0,s} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. -_0(2,2) -> 1 -_1(2,2) -> 1 0_0() -> 1 0_0() -> 2 0_1() -> 1 0_1() -> 3 0_1() -> 4 double_0(2) -> 1 double_1(2) -> 4 half_0(2) -> 1 half_1(2) -> 3 if_0(2,2,2) -> 1 s_0(2) -> 1 s_0(2) -> 2 s_1(3) -> 1 s_1(3) -> 3 s_1(3) -> 4 s_1(4) -> 3 2 -> 1 ** Step 1.b:2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: -(x,0()) -> x -(s(x),s(y)) -> -(x,y) double(0()) -> 0()
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