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Complexity_ITS 2019-03-21 04.46 pair #429990269
details
property
value
status
complete
benchmark
p-42.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n170.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
CoFloCo 2018
configuration
its
runtime (wallclock)
0.327075 seconds
cpu usage
0.244861
user time
0.223042
system time
0.021819
max virtual memory
113176.0
max residence set size
11304.0
stage attributes
key
value
starexec-result
WORST_CASE(?,O(n^1))
output
0.03/0.22 WORST_CASE(?,O(n^1)) 0.03/0.22 0.03/0.22 Preprocessing Cost Relations 0.03/0.22 ===================================== 0.03/0.22 0.03/0.22 #### Computed strongly connected components 0.03/0.22 0. recursive : [f2/7] 0.03/0.22 1. non_recursive : [exit_location/1] 0.03/0.22 2. non_recursive : [f300/4] 0.03/0.22 3. non_recursive : [f2_loop_cont/5] 0.03/0.22 4. non_recursive : [f1/4] 0.03/0.22 0.03/0.22 #### Obtained direct recursion through partial evaluation 0.03/0.22 0. SCC is partially evaluated into f2/7 0.03/0.22 1. SCC is completely evaluated into other SCCs 0.03/0.22 2. SCC is completely evaluated into other SCCs 0.03/0.22 3. SCC is partially evaluated into f2_loop_cont/5 0.03/0.22 4. SCC is partially evaluated into f1/4 0.03/0.22 0.03/0.22 Control-Flow Refinement of Cost Relations 0.03/0.22 ===================================== 0.03/0.22 0.03/0.22 ### Specialization of cost equations f2/7 0.03/0.22 * CE 5 is refined into CE [8] 0.03/0.22 * CE 4 is refined into CE [9] 0.03/0.22 * CE 3 is refined into CE [10] 0.03/0.22 * CE 2 is refined into CE [11] 0.03/0.22 0.03/0.22 0.03/0.22 ### Cost equations --> "Loop" of f2/7 0.03/0.22 * CEs [10] --> Loop 8 0.03/0.22 * CEs [11] --> Loop 9 0.03/0.22 * CEs [8] --> Loop 10 0.03/0.22 * CEs [9] --> Loop 11 0.03/0.22 0.03/0.22 ### Ranking functions of CR f2(A,B,C,E,F,G,H) 0.03/0.22 * RF of phase [8]: [-B+3] 0.03/0.22 * RF of phase [9]: [-A+2] 0.03/0.22 0.03/0.22 #### Partial ranking functions of CR f2(A,B,C,E,F,G,H) 0.03/0.22 * Partial RF of phase [8]: 0.03/0.22 - RF of loop [8:1]: 0.03/0.22 -B+3 0.03/0.22 * Partial RF of phase [9]: 0.03/0.22 - RF of loop [9:1]: 0.03/0.22 -A+2 0.03/0.22 0.03/0.22 0.03/0.22 ### Specialization of cost equations f2_loop_cont/5 0.03/0.22 * CE 7 is refined into CE [12] 0.03/0.22 * CE 6 is refined into CE [13] 0.03/0.22 0.03/0.22 0.03/0.22 ### Cost equations --> "Loop" of f2_loop_cont/5 0.03/0.22 * CEs [12] --> Loop 12 0.03/0.22 * CEs [13] --> Loop 13 0.03/0.22 0.03/0.22 ### Ranking functions of CR f2_loop_cont(A,B,C,D,E) 0.03/0.22 0.03/0.22 #### Partial ranking functions of CR f2_loop_cont(A,B,C,D,E) 0.03/0.22 0.03/0.22 0.03/0.22 ### Specialization of cost equations f1/4 0.03/0.22 * CE 1 is refined into CE [14,15,16,17,18,19,20,21] 0.03/0.22 0.03/0.22 0.03/0.22 ### Cost equations --> "Loop" of f1/4 0.03/0.22 * CEs [17] --> Loop 14 0.03/0.22 * CEs [16,21] --> Loop 15 0.03/0.22 * CEs [15,20] --> Loop 16 0.03/0.22 * CEs [14] --> Loop 17 0.03/0.22 * CEs [19] --> Loop 18 0.03/0.22 * CEs [18] --> Loop 19 0.03/0.22 0.03/0.22 ### Ranking functions of CR f1(A,B,C,E) 0.03/0.22 0.03/0.22 #### Partial ranking functions of CR f1(A,B,C,E) 0.03/0.22 0.03/0.22 0.03/0.22 Computing Bounds 0.03/0.22 ===================================== 0.03/0.22 0.03/0.22 #### Cost of chains of f2(A,B,C,E,F,G,H): 0.03/0.22 * Chain [[9],[8],11]: 1*it(8)+1*it(9)+0 0.03/0.22 Such that:it(9) =< -A+2 0.03/0.22 it(8) =< F 0.03/0.22 0.03/0.22 with precondition: [E=2,G=3,A+3=B+F,1>=A,A>=B] 0.03/0.22 0.03/0.22 * Chain [[9],[8],10]: 1*it(8)+1*it(9)+0 0.03/0.22 Such that:it(9) =< -A+2 0.03/0.22 it(8) =< A-B+1 0.03/0.22 0.03/0.22 with precondition: [E=3,1>=A,A>=B] 0.03/0.22 0.03/0.22 * Chain [[9],11]: 1*it(9)+0 0.03/0.22 Such that:it(9) =< -A+2 0.03/0.22 0.03/0.22 with precondition: [E=2,F=2,A+G=B+2,1>=A,B>=A+1] 0.03/0.22
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