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Complexity_ITS 2019-03-21 04.46 pair #429990277
details
property
value
status
complete
benchmark
consts4.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n088.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
CoFloCo 2018
configuration
its
runtime (wallclock)
0.0841849 seconds
cpu usage
0.100877
user time
0.085501
system time
0.015376
max virtual memory
113176.0
max residence set size
10880.0
stage attributes
key
value
starexec-result
WORST_CASE(?,O(n^1))
output
0.00/0.08 WORST_CASE(?,O(n^1)) 0.00/0.08 0.00/0.08 Preprocessing Cost Relations 0.00/0.08 ===================================== 0.00/0.08 0.00/0.08 #### Computed strongly connected components 0.00/0.08 0. recursive : [f1/2] 0.00/0.08 1. non_recursive : [exit_location/1] 0.00/0.08 2. non_recursive : [f1_loop_cont/2] 0.00/0.08 3. non_recursive : [f0/2] 0.00/0.08 0.00/0.08 #### Obtained direct recursion through partial evaluation 0.00/0.08 0. SCC is partially evaluated into f1/2 0.00/0.08 1. SCC is completely evaluated into other SCCs 0.00/0.08 2. SCC is completely evaluated into other SCCs 0.00/0.08 3. SCC is partially evaluated into f0/2 0.00/0.08 0.00/0.08 Control-Flow Refinement of Cost Relations 0.00/0.08 ===================================== 0.00/0.08 0.00/0.08 ### Specialization of cost equations f1/2 0.00/0.08 * CE 3 is refined into CE [4] 0.00/0.08 * CE 2 is refined into CE [5] 0.00/0.08 0.00/0.08 0.00/0.08 ### Cost equations --> "Loop" of f1/2 0.00/0.08 * CEs [5] --> Loop 4 0.00/0.08 * CEs [4] --> Loop 5 0.00/0.08 0.00/0.08 ### Ranking functions of CR f1(A,B) 0.00/0.08 * RF of phase [4]: [A/1000-6/5] 0.00/0.08 0.00/0.08 #### Partial ranking functions of CR f1(A,B) 0.00/0.08 * Partial RF of phase [4]: 0.00/0.08 - RF of loop [4:1]: 0.00/0.08 A/1000-6/5 0.00/0.08 0.00/0.08 0.00/0.08 ### Specialization of cost equations f0/2 0.00/0.08 * CE 1 is refined into CE [6,7] 0.00/0.08 0.00/0.08 0.00/0.08 ### Cost equations --> "Loop" of f0/2 0.00/0.08 * CEs [7] --> Loop 6 0.00/0.08 * CEs [6] --> Loop 7 0.00/0.08 0.00/0.08 ### Ranking functions of CR f0(A,B) 0.00/0.08 0.00/0.08 #### Partial ranking functions of CR f0(A,B) 0.00/0.08 0.00/0.08 0.00/0.08 Computing Bounds 0.00/0.08 ===================================== 0.00/0.08 0.00/0.08 #### Cost of chains of f1(A,B): 0.00/0.08 * Chain [[4],5]: 1*it(4)+0 0.00/0.08 Such that:it(4) =< A/1000 0.00/0.08 0.00/0.08 with precondition: [B=2,A>=1201] 0.00/0.08 0.00/0.08 * Chain [5]: 0 0.00/0.08 with precondition: [B=2] 0.00/0.08 0.00/0.08 0.00/0.08 #### Cost of chains of f0(A,B): 0.00/0.08 * Chain [7]: 0 0.00/0.08 with precondition: [] 0.00/0.08 0.00/0.08 * Chain [6]: 1*s(1)+0 0.00/0.08 Such that:s(1) =< A/1000 0.00/0.08 0.00/0.08 with precondition: [A>=1201] 0.00/0.08 0.00/0.08 0.00/0.08 Closed-form bounds of f0(A,B): 0.00/0.08 ------------------------------------- 0.00/0.08 * Chain [7] with precondition: [] 0.00/0.08 - Upper bound: 0 0.00/0.08 - Complexity: constant 0.00/0.08 * Chain [6] with precondition: [A>=1201] 0.00/0.08 - Upper bound: A/1000 0.00/0.08 - Complexity: n 0.00/0.08 0.00/0.08 ### Maximum cost of f0(A,B): nat(A/1000) 0.00/0.08 Asymptotic class: n 0.00/0.08 * Total analysis performed in 24 ms. 0.00/0.08 0.00/0.08 EOF
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