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Complexity_C_Integer 2019-03-21 04.38 pair #429989655
details
property
value
status
complete
benchmark
realheapsort_step1.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n086.star.cs.uiowa.edu
space
WTC_V2
run statistics
property
value
solver
CoFloCo 2018
configuration
C
runtime (wallclock)
0.327686 seconds
cpu usage
0.254424
user time
0.219186
system time
0.035238
max virtual memory
113176.0
max residence set size
11432.0
stage attributes
key
value
starexec-result
WORST_CASE(?,O(n^2))
output
0.06/0.22 WORST_CASE(?,O(n^2)) 0.06/0.22 0.06/0.22 Preprocessing Cost Relations 0.06/0.22 ===================================== 0.06/0.22 0.06/0.22 #### Computed strongly connected components 0.06/0.22 0. recursive : [eval_realheapsort_step1_2/3,eval_realheapsort_step1_3/4,eval_realheapsort_step1_4/5,eval_realheapsort_step1_5/5,eval_realheapsort_step1_6/5,eval_realheapsort_step1_bb2_in/3,eval_realheapsort_step1_bb3_in/3,eval_realheapsort_step1_bb4_in/5] 0.06/0.22 1. recursive : [eval_realheapsort_step1__critedge_in/4,eval_realheapsort_step1_bb1_in/3,eval_realheapsort_step1_bb2_in_loop_cont/5] 0.06/0.22 2. non_recursive : [eval_realheapsort_step1_stop/1] 0.06/0.22 3. non_recursive : [eval_realheapsort_step1_bb5_in/1] 0.06/0.22 4. non_recursive : [eval_realheapsort_step1_bb1_in_loop_cont/2] 0.06/0.22 5. non_recursive : [eval_realheapsort_step1_bb0_in/2] 0.06/0.22 6. non_recursive : [eval_realheapsort_step1_start/2] 0.06/0.22 0.06/0.22 #### Obtained direct recursion through partial evaluation 0.06/0.22 0. SCC is partially evaluated into eval_realheapsort_step1_bb2_in/3 0.06/0.22 1. SCC is partially evaluated into eval_realheapsort_step1_bb1_in/3 0.06/0.22 2. SCC is completely evaluated into other SCCs 0.06/0.22 3. SCC is completely evaluated into other SCCs 0.06/0.22 4. SCC is completely evaluated into other SCCs 0.06/0.22 5. SCC is partially evaluated into eval_realheapsort_step1_bb0_in/2 0.06/0.22 6. SCC is partially evaluated into eval_realheapsort_step1_start/2 0.06/0.22 0.06/0.22 Control-Flow Refinement of Cost Relations 0.06/0.22 ===================================== 0.06/0.22 0.06/0.22 ### Specialization of cost equations eval_realheapsort_step1_bb2_in/3 0.06/0.22 * CE 7 is refined into CE [9] 0.06/0.22 * CE 8 is refined into CE [10] 0.06/0.22 * CE 6 is refined into CE [11] 0.06/0.22 0.06/0.22 0.06/0.22 ### Cost equations --> "Loop" of eval_realheapsort_step1_bb2_in/3 0.06/0.22 * CEs [11] --> Loop 9 0.06/0.22 * CEs [9] --> Loop 10 0.06/0.22 * CEs [10] --> Loop 11 0.06/0.22 0.06/0.22 ### Ranking functions of CR eval_realheapsort_step1_bb2_in(V_j_0,B,C) 0.06/0.22 * RF of phase [9]: [V_j_0] 0.06/0.22 0.06/0.22 #### Partial ranking functions of CR eval_realheapsort_step1_bb2_in(V_j_0,B,C) 0.06/0.22 * Partial RF of phase [9]: 0.06/0.22 - RF of loop [9:1]: 0.06/0.22 V_j_0 0.06/0.22 0.06/0.22 0.06/0.22 ### Specialization of cost equations eval_realheapsort_step1_bb1_in/3 0.06/0.22 * CE 5 is refined into CE [12] 0.06/0.22 * CE 4 is refined into CE [13,14,15] 0.06/0.22 0.06/0.22 0.06/0.22 ### Cost equations --> "Loop" of eval_realheapsort_step1_bb1_in/3 0.06/0.22 * CEs [13,14] --> Loop 12 0.06/0.22 * CEs [15] --> Loop 13 0.06/0.22 * CEs [12] --> Loop 14 0.06/0.22 0.06/0.22 ### Ranking functions of CR eval_realheapsort_step1_bb1_in(V_N,V_k_0,B) 0.06/0.22 * RF of phase [12,13]: [V_N-V_k_0] 0.06/0.22 0.06/0.22 #### Partial ranking functions of CR eval_realheapsort_step1_bb1_in(V_N,V_k_0,B) 0.06/0.22 * Partial RF of phase [12,13]: 0.06/0.22 - RF of loop [12:1,13:1]: 0.06/0.22 V_N-V_k_0 0.06/0.22 0.06/0.22 0.06/0.22 ### Specialization of cost equations eval_realheapsort_step1_bb0_in/2 0.06/0.22 * CE 3 is refined into CE [16] 0.06/0.22 * CE 2 is refined into CE [17] 0.06/0.22 0.06/0.22 0.06/0.22 ### Cost equations --> "Loop" of eval_realheapsort_step1_bb0_in/2 0.06/0.22 * CEs [16] --> Loop 15 0.06/0.22 * CEs [17] --> Loop 16 0.06/0.22 0.06/0.22 ### Ranking functions of CR eval_realheapsort_step1_bb0_in(V_N,B) 0.06/0.22 0.06/0.22 #### Partial ranking functions of CR eval_realheapsort_step1_bb0_in(V_N,B) 0.06/0.22 0.06/0.22 0.06/0.22 ### Specialization of cost equations eval_realheapsort_step1_start/2 0.06/0.22 * CE 1 is refined into CE [18,19] 0.06/0.22 0.06/0.22 0.06/0.22 ### Cost equations --> "Loop" of eval_realheapsort_step1_start/2 0.06/0.22 * CEs [19] --> Loop 17 0.06/0.22 * CEs [18] --> Loop 18 0.06/0.22 0.06/0.22 ### Ranking functions of CR eval_realheapsort_step1_start(V_N,B) 0.06/0.22 0.06/0.22 #### Partial ranking functions of CR eval_realheapsort_step1_start(V_N,B) 0.06/0.22 0.06/0.22 0.06/0.22 Computing Bounds 0.06/0.22 ===================================== 0.06/0.22 0.06/0.22 #### Cost of chains of eval_realheapsort_step1_bb2_in(V_j_0,B,C): 0.06/0.22 * Chain [[9],11]: 1*it(9)+0 0.06/0.22 Such that:it(9) =< V_j_0 0.06/0.22 0.06/0.22 with precondition: [B=2,0>=C,V_j_0>=1,2*C+1>=0]
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return to Complexity_C_Integer 2019-03-21 04.38