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Complexity_ITS 2019-03-21 04.46 pair #429991089
details
property
value
status
complete
benchmark
realshellsort.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n133.star.cs.uiowa.edu
space
WTC
run statistics
property
value
solver
CoFloCo 2018
configuration
its
runtime (wallclock)
1.24788 seconds
cpu usage
1.16869
user time
1.14514
system time
0.023545
max virtual memory
317396.0
max residence set size
14200.0
stage attributes
key
value
starexec-result
WORST_CASE(?,O(n^3))
output
1.08/1.14 WORST_CASE(?,O(n^3)) 1.08/1.14 1.08/1.14 Preprocessing Cost Relations 1.08/1.14 ===================================== 1.08/1.14 1.08/1.14 #### Computed strongly connected components 1.08/1.14 0. recursive : [evalrealshellsortbb2in/5,evalrealshellsortbb3in/5,evalrealshellsortbb4in/5] 1.08/1.14 1. recursive : [evalrealshellsortbb1in/9,evalrealshellsortbb3in_loop_cont/10,evalrealshellsortbb5in/9,evalrealshellsortbb6in/9] 1.08/1.14 2. recursive : [evalrealshellsortbb6in_loop_cont/11,evalrealshellsortbb7in/10,evalrealshellsortbb8in/10] 1.08/1.14 3. non_recursive : [evalrealshellsortstop/6] 1.08/1.14 4. non_recursive : [evalrealshellsortreturnin/6] 1.08/1.14 5. non_recursive : [exit_location/1] 1.08/1.14 6. non_recursive : [evalrealshellsortbb8in_loop_cont/7] 1.08/1.14 7. non_recursive : [evalrealshellsortentryin/6] 1.08/1.14 8. non_recursive : [evalrealshellsortstart/6] 1.08/1.14 1.08/1.14 #### Obtained direct recursion through partial evaluation 1.08/1.14 0. SCC is partially evaluated into evalrealshellsortbb3in/5 1.08/1.14 1. SCC is partially evaluated into evalrealshellsortbb6in/9 1.08/1.14 2. SCC is partially evaluated into evalrealshellsortbb8in/10 1.08/1.14 3. SCC is completely evaluated into other SCCs 1.08/1.14 4. SCC is completely evaluated into other SCCs 1.08/1.14 5. SCC is completely evaluated into other SCCs 1.08/1.14 6. SCC is partially evaluated into evalrealshellsortbb8in_loop_cont/7 1.08/1.14 7. SCC is partially evaluated into evalrealshellsortentryin/6 1.08/1.14 8. SCC is partially evaluated into evalrealshellsortstart/6 1.08/1.14 1.08/1.14 Control-Flow Refinement of Cost Relations 1.08/1.14 ===================================== 1.08/1.14 1.08/1.14 ### Specialization of cost equations evalrealshellsortbb3in/5 1.08/1.14 * CE 18 is refined into CE [19] 1.08/1.14 * CE 17 is refined into CE [20] 1.08/1.14 * CE 15 is refined into CE [21] 1.08/1.14 * CE 16 is refined into CE [22] 1.08/1.14 1.08/1.14 1.08/1.14 ### Cost equations --> "Loop" of evalrealshellsortbb3in/5 1.08/1.14 * CEs [22] --> Loop 19 1.08/1.14 * CEs [19] --> Loop 20 1.08/1.14 * CEs [20] --> Loop 21 1.08/1.14 * CEs [21] --> Loop 22 1.08/1.14 1.08/1.14 ### Ranking functions of CR evalrealshellsortbb3in(B,D,E,G,H) 1.08/1.14 * RF of phase [19]: [-B+E+1,E] 1.08/1.14 1.08/1.14 #### Partial ranking functions of CR evalrealshellsortbb3in(B,D,E,G,H) 1.08/1.14 * Partial RF of phase [19]: 1.08/1.14 - RF of loop [19:1]: 1.08/1.14 -B+E+1 1.08/1.14 E 1.08/1.14 1.08/1.14 1.08/1.14 ### Specialization of cost equations evalrealshellsortbb6in/9 1.08/1.14 * CE 13 is refined into CE [23] 1.08/1.14 * CE 11 is refined into CE [24,25] 1.08/1.14 * CE 14 is refined into CE [26] 1.08/1.14 * CE 12 is refined into CE [27,28,29,30] 1.08/1.14 1.08/1.14 1.08/1.14 ### Cost equations --> "Loop" of evalrealshellsortbb6in/9 1.08/1.14 * CEs [30] --> Loop 23 1.08/1.14 * CEs [29] --> Loop 24 1.08/1.14 * CEs [28] --> Loop 25 1.08/1.14 * CEs [27] --> Loop 26 1.08/1.14 * CEs [23] --> Loop 27 1.08/1.14 * CEs [25] --> Loop 28 1.08/1.14 * CEs [24] --> Loop 29 1.08/1.14 * CEs [26] --> Loop 30 1.08/1.14 1.08/1.14 ### Ranking functions of CR evalrealshellsortbb6in(A,B,C,D,E,G,H,I,J) 1.08/1.14 * RF of phase [23,24,26]: [A-C] 1.08/1.14 * RF of phase [25]: [A/2-C,B-C] 1.08/1.14 1.08/1.14 #### Partial ranking functions of CR evalrealshellsortbb6in(A,B,C,D,E,G,H,I,J) 1.08/1.14 * Partial RF of phase [23,24,26]: 1.08/1.14 - RF of loop [23:1,24:1,26:1]: 1.08/1.14 A-C 1.08/1.14 * Partial RF of phase [25]: 1.08/1.14 - RF of loop [25:1]: 1.08/1.14 A/2-C 1.08/1.14 B-C 1.08/1.14 1.08/1.14 1.08/1.14 ### Specialization of cost equations evalrealshellsortbb8in/10 1.08/1.14 * CE 7 is refined into CE [31] 1.08/1.14 * CE 6 is refined into CE [32,33,34,35,36,37] 1.08/1.14 * CE 8 is refined into CE [38] 1.08/1.14 * CE 5 is refined into CE [39,40] 1.08/1.14 1.08/1.14 1.08/1.14 ### Cost equations --> "Loop" of evalrealshellsortbb8in/10 1.08/1.14 * CEs [40] --> Loop 31 1.08/1.14 * CEs [39] --> Loop 32 1.08/1.14 * CEs [31] --> Loop 33 1.08/1.14 * CEs [38] --> Loop 34 1.08/1.14 * CEs [35] --> Loop 35 1.08/1.14 * CEs [34] --> Loop 36 1.08/1.14 * CEs [32,33,37] --> Loop 37 1.08/1.14 * CEs [36] --> Loop 38
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