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Complexity_ITS 2019-03-21 04.46 pair #429990929
details
property
value
status
complete
benchmark
sect5-sumSum.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n105.star.cs.uiowa.edu
space
KoAT-2013
run statistics
property
value
solver
CoFloCo 2018
configuration
its
runtime (wallclock)
0.316024 seconds
cpu usage
0.233986
user time
0.214308
system time
0.019678
max virtual memory
113176.0
max residence set size
11420.0
stage attributes
key
value
starexec-result
WORST_CASE(?,O(n^2))
output
0.03/0.21 WORST_CASE(?,O(n^2)) 0.03/0.21 0.03/0.21 Preprocessing Cost Relations 0.03/0.21 ===================================== 0.03/0.21 0.03/0.21 #### Computed strongly connected components 0.03/0.21 0. recursive : [l2/9] 0.03/0.21 1. recursive : [l1/5,l2_loop_cont/6] 0.03/0.21 2. non_recursive : [exit_location/1] 0.03/0.21 3. non_recursive : [l1_loop_cont/2] 0.03/0.21 4. non_recursive : [l0/5] 0.03/0.21 0.03/0.21 #### Obtained direct recursion through partial evaluation 0.03/0.21 0. SCC is partially evaluated into l2/9 0.03/0.21 1. SCC is partially evaluated into l1/5 0.03/0.21 2. SCC is completely evaluated into other SCCs 0.03/0.21 3. SCC is completely evaluated into other SCCs 0.03/0.21 4. SCC is partially evaluated into l0/5 0.03/0.21 0.03/0.21 Control-Flow Refinement of Cost Relations 0.03/0.21 ===================================== 0.03/0.21 0.03/0.21 ### Specialization of cost equations l2/9 0.03/0.21 * CE 7 is refined into CE [8] 0.03/0.21 * CE 6 is refined into CE [9] 0.03/0.21 * CE 5 is refined into CE [10] 0.03/0.21 0.03/0.21 0.03/0.21 ### Cost equations --> "Loop" of l2/9 0.03/0.21 * CEs [10] --> Loop 8 0.03/0.21 * CEs [8] --> Loop 9 0.03/0.21 * CEs [9] --> Loop 10 0.03/0.21 0.03/0.21 ### Ranking functions of CR l2(A,B,C,D,E,F,G,H,I) 0.03/0.21 * RF of phase [8]: [B-C] 0.03/0.21 0.03/0.21 #### Partial ranking functions of CR l2(A,B,C,D,E,F,G,H,I) 0.03/0.21 * Partial RF of phase [8]: 0.03/0.21 - RF of loop [8:1]: 0.03/0.21 B-C 0.03/0.21 0.03/0.21 0.03/0.21 ### Specialization of cost equations l1/5 0.03/0.21 * CE 2 is refined into CE [11,12] 0.03/0.21 * CE 4 is refined into CE [13] 0.03/0.21 * CE 3 is refined into CE [14] 0.03/0.21 0.03/0.21 0.03/0.21 ### Cost equations --> "Loop" of l1/5 0.03/0.21 * CEs [14] --> Loop 11 0.03/0.21 * CEs [11,12] --> Loop 12 0.03/0.21 * CEs [13] --> Loop 13 0.03/0.21 0.03/0.21 ### Ranking functions of CR l1(A,B,C,D,E) 0.03/0.21 * RF of phase [11]: [B] 0.03/0.21 0.03/0.21 #### Partial ranking functions of CR l1(A,B,C,D,E) 0.03/0.21 * Partial RF of phase [11]: 0.03/0.21 - RF of loop [11:1]: 0.03/0.21 B 0.03/0.21 0.03/0.21 0.03/0.21 ### Specialization of cost equations l0/5 0.03/0.21 * CE 1 is refined into CE [15,16,17] 0.03/0.21 0.03/0.21 0.03/0.21 ### Cost equations --> "Loop" of l0/5 0.03/0.21 * CEs [17] --> Loop 14 0.03/0.21 * CEs [16] --> Loop 15 0.03/0.21 * CEs [15] --> Loop 16 0.03/0.21 0.03/0.21 ### Ranking functions of CR l0(A,B,C,D,E) 0.03/0.21 0.03/0.21 #### Partial ranking functions of CR l0(A,B,C,D,E) 0.03/0.21 0.03/0.21 0.03/0.21 Computing Bounds 0.03/0.21 ===================================== 0.03/0.21 0.03/0.21 #### Cost of chains of l2(A,B,C,D,E,F,G,H,I): 0.03/0.21 * Chain [[8],10]: 1*it(8)+0 0.03/0.21 Such that:it(8) =< B-C 0.03/0.21 0.03/0.21 with precondition: [E=2,B=G+1,B=H,A+I=F,B>=C+1] 0.03/0.21 0.03/0.21 * Chain [[8],9]: 1*it(8)+0 0.03/0.21 Such that:it(8) =< B-C 0.03/0.21 0.03/0.21 with precondition: [E=3,B>=C+1] 0.03/0.21 0.03/0.21 * Chain [9]: 0 0.03/0.21 with precondition: [E=3,B>=C] 0.03/0.21 0.03/0.21 0.03/0.21 #### Cost of chains of l1(A,B,C,D,E): 0.03/0.21 * Chain [[11],13]: 1*it(11)+1*s(3)+0 0.03/0.21 Such that:aux(3) =< B 0.03/0.21 it(11) =< aux(3) 0.03/0.21 s(3) =< it(11)*aux(3) 0.03/0.21
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