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Compl Integ Trans Syste 26843 pair #381744045
details
property
value
status
complete
benchmark
rationalPotential.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n058.star.cs.uiowa.edu
space
RAML
run statistics
property
value
solver
CoFloCo 2018
configuration
its
runtime (wallclock)
0.103041172028 seconds
cpu usage
0.115937985
max memory
8425472.0
stage attributes
key
value
output-size
2263
starexec-result
WORST_CASE(?,O(n^1))
output
/export/starexec/sandbox2/solver/bin/starexec_run_its /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^1)) Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. recursive : [zip3/4] 1. non_recursive : [exit_location/1] 2. non_recursive : [zip3_loop_cont/2] 3. non_recursive : [start/4] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into zip3/4 1. SCC is completely evaluated into other SCCs 2. SCC is completely evaluated into other SCCs 3. SCC is partially evaluated into start/4 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations zip3/4 * CE 3 is refined into CE [4] * CE 2 is refined into CE [5] ### Cost equations --> "Loop" of zip3/4 * CEs [5] --> Loop 4 * CEs [4] --> Loop 5 ### Ranking functions of CR zip3(A,B,C,D) * RF of phase [4]: [A,B,C] #### Partial ranking functions of CR zip3(A,B,C,D) * Partial RF of phase [4]: - RF of loop [4:1]: A B C ### Specialization of cost equations start/4 * CE 1 is refined into CE [6,7] ### Cost equations --> "Loop" of start/4 * CEs [7] --> Loop 6 * CEs [6] --> Loop 7 ### Ranking functions of CR start(A,B,C,D) #### Partial ranking functions of CR start(A,B,C,D) Computing Bounds ===================================== #### Cost of chains of zip3(A,B,C,D): * Chain [[4],5]: 1*it(4)+0 Such that:it(4) =< A it(4) =< C with precondition: [D=2,A>=1,B>=1,C>=1] * Chain [5]: 0 with precondition: [D=2] #### Cost of chains of start(A,B,C,D): * Chain [7]: 0 with precondition: [] * Chain [6]: 1*s(1)+0 Such that:s(1) =< A s(1) =< C with precondition: [A>=1,B>=1,C>=1] Closed-form bounds of start(A,B,C,D): ------------------------------------- * Chain [7] with precondition: [] - Upper bound: 0 - Complexity: constant * Chain [6] with precondition: [A>=1,B>=1,C>=1] - Upper bound: A - Complexity: n ### Maximum cost of start(A,B,C,D): nat(A) Asymptotic class: n * Total analysis performed in 41 ms.
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