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Complexity_C_Integer 2019-03-21 04.38 pair #429989323
details
property
value
status
complete
benchmark
Ben-Amram-LMCS2010-Ex2.3_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n164.star.cs.uiowa.edu
space
Adapted_from_Stroeder_15
run statistics
property
value
solver
CoFloCo 2018
configuration
C
runtime (wallclock)
0.447152 seconds
cpu usage
0.373176
user time
0.343504
system time
0.029672
max virtual memory
113176.0
max residence set size
11800.0
stage attributes
key
value
starexec-result
WORST_CASE(?,O(n^1))
output
0.05/0.34 WORST_CASE(?,O(n^1)) 0.05/0.34 0.05/0.34 Preprocessing Cost Relations 0.05/0.34 ===================================== 0.05/0.34 0.05/0.34 #### Computed strongly connected components 0.05/0.34 0. recursive : [eval_foo_0/4,eval_foo_1/5,eval_foo_4/5,eval_foo_5/6,eval_foo_bb1_in/4,eval_foo_bb2_in/4,eval_foo_bb3_in/4,eval_foo_bb4_in/4] 0.05/0.34 1. non_recursive : [eval_foo_stop/1] 0.05/0.34 2. non_recursive : [eval_foo__critedge_in/1] 0.05/0.34 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.34 4. non_recursive : [eval_foo_bb0_in/4] 0.05/0.34 5. non_recursive : [eval_foo_start/4] 0.05/0.34 0.05/0.34 #### Obtained direct recursion through partial evaluation 0.05/0.34 0. SCC is partially evaluated into eval_foo_bb1_in/4 0.05/0.34 1. SCC is completely evaluated into other SCCs 0.05/0.34 2. SCC is completely evaluated into other SCCs 0.05/0.34 3. SCC is completely evaluated into other SCCs 0.05/0.34 4. SCC is partially evaluated into eval_foo_bb0_in/4 0.05/0.34 5. SCC is partially evaluated into eval_foo_start/4 0.05/0.34 0.05/0.34 Control-Flow Refinement of Cost Relations 0.05/0.34 ===================================== 0.05/0.34 0.05/0.34 ### Specialization of cost equations eval_foo_bb1_in/4 0.05/0.34 * CE 5 is refined into CE [8] 0.05/0.34 * CE 6 is refined into CE [9] 0.05/0.34 * CE 7 is refined into CE [10] 0.05/0.34 * CE 3 is refined into CE [11] 0.05/0.34 * CE 4 is refined into CE [12] 0.05/0.34 0.05/0.34 0.05/0.34 ### Cost equations --> "Loop" of eval_foo_bb1_in/4 0.05/0.34 * CEs [11] --> Loop 8 0.05/0.34 * CEs [12] --> Loop 9 0.05/0.34 * CEs [8] --> Loop 10 0.05/0.34 * CEs [9] --> Loop 11 0.05/0.34 * CEs [10] --> Loop 12 0.05/0.34 0.05/0.34 ### Ranking functions of CR eval_foo_bb1_in(V__03,V__01,V__0,B) 0.05/0.34 * RF of phase [8]: [V__03/2+V__01/2-V__0/2-1/2] 0.05/0.34 * RF of phase [9]: [V__03] 0.05/0.34 0.05/0.34 #### Partial ranking functions of CR eval_foo_bb1_in(V__03,V__01,V__0,B) 0.05/0.34 * Partial RF of phase [8]: 0.05/0.34 - RF of loop [8:1]: 0.05/0.34 V__03/2+V__01/2-V__0/2-1/2 0.05/0.34 * Partial RF of phase [9]: 0.05/0.34 - RF of loop [9:1]: 0.05/0.34 V__03 0.05/0.34 0.05/0.34 0.05/0.34 ### Specialization of cost equations eval_foo_bb0_in/4 0.05/0.34 * CE 2 is refined into CE [13,14,15,16,17] 0.05/0.34 0.05/0.34 0.05/0.34 ### Cost equations --> "Loop" of eval_foo_bb0_in/4 0.05/0.34 * CEs [16] --> Loop 13 0.05/0.34 * CEs [17] --> Loop 14 0.05/0.34 * CEs [13] --> Loop 15 0.05/0.34 * CEs [14] --> Loop 16 0.05/0.34 * CEs [15] --> Loop 17 0.05/0.34 0.05/0.34 ### Ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_z,B) 0.05/0.34 0.05/0.34 #### Partial ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_z,B) 0.05/0.34 0.05/0.34 0.05/0.34 ### Specialization of cost equations eval_foo_start/4 0.05/0.34 * CE 1 is refined into CE [18,19,20,21,22] 0.05/0.34 0.05/0.34 0.05/0.34 ### Cost equations --> "Loop" of eval_foo_start/4 0.05/0.34 * CEs [22] --> Loop 18 0.05/0.34 * CEs [21] --> Loop 19 0.05/0.34 * CEs [20] --> Loop 20 0.05/0.34 * CEs [19] --> Loop 21 0.05/0.34 * CEs [18] --> Loop 22 0.05/0.34 0.05/0.34 ### Ranking functions of CR eval_foo_start(V_x,V_y,V_z,B) 0.05/0.34 0.05/0.34 #### Partial ranking functions of CR eval_foo_start(V_x,V_y,V_z,B) 0.05/0.34 0.05/0.34 0.05/0.34 Computing Bounds 0.05/0.34 ===================================== 0.05/0.34 0.05/0.34 #### Cost of chains of eval_foo_bb1_in(V__03,V__01,V__0,B): 0.05/0.34 * Chain [[9],12]: 1*it(9)+0 0.05/0.34 Such that:it(9) =< V__03 0.05/0.34 0.05/0.34 with precondition: [B=2,V__03>=1,V__01>=1,V__0>=V__01] 0.05/0.34 0.05/0.34 * Chain [[9],11]: 1*it(9)+0 0.05/0.34 Such that:it(9) =< V__03 0.05/0.34 0.05/0.34 with precondition: [B=2,V__03>=1,V__01>=1,V__0>=V__01] 0.05/0.34 0.05/0.34 * Chain [[9],10]: 1*it(9)+0 0.05/0.34 Such that:it(9) =< V__03
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return to Complexity_C_Integer 2019-03-21 04.38