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Complexity_C_Integer 2019-03-21 04.38 pair #429988853
details
property
value
status
complete
benchmark
gcd.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n098.star.cs.uiowa.edu
space
C4B_examples
run statistics
property
value
solver
CoFloCo 2018
configuration
C
runtime (wallclock)
0.321726 seconds
cpu usage
0.246865
user time
0.218605
system time
0.02826
max virtual memory
113176.0
max residence set size
11520.0
stage attributes
key
value
starexec-result
WORST_CASE(?,O(n^1))
output
0.05/0.21 WORST_CASE(?,O(n^1)) 0.05/0.21 0.05/0.21 Preprocessing Cost Relations 0.05/0.21 ===================================== 0.05/0.21 0.05/0.21 #### Computed strongly connected components 0.05/0.21 0. recursive : [eval_gcd_bb1_in/3,eval_gcd_bb2_in/3] 0.05/0.21 1. non_recursive : [eval_gcd_stop/1] 0.05/0.21 2. non_recursive : [eval_gcd_bb3_in/1] 0.05/0.21 3. non_recursive : [eval_gcd_bb1_in_loop_cont/2] 0.05/0.21 4. non_recursive : [eval_gcd_bb0_in/3] 0.05/0.21 5. non_recursive : [eval_gcd_start/3] 0.05/0.21 0.05/0.21 #### Obtained direct recursion through partial evaluation 0.05/0.21 0. SCC is partially evaluated into eval_gcd_bb1_in/3 0.05/0.21 1. SCC is completely evaluated into other SCCs 0.05/0.21 2. SCC is completely evaluated into other SCCs 0.05/0.21 3. SCC is completely evaluated into other SCCs 0.05/0.21 4. SCC is partially evaluated into eval_gcd_bb0_in/3 0.05/0.21 5. SCC is partially evaluated into eval_gcd_start/3 0.05/0.21 0.05/0.21 Control-Flow Refinement of Cost Relations 0.05/0.21 ===================================== 0.05/0.21 0.05/0.21 ### Specialization of cost equations eval_gcd_bb1_in/3 0.05/0.21 * CE 5 is refined into CE [7] 0.05/0.21 * CE 6 is refined into CE [8] 0.05/0.21 * CE 3 is refined into CE [9] 0.05/0.21 * CE 4 is refined into CE [10] 0.05/0.21 0.05/0.21 0.05/0.21 ### Cost equations --> "Loop" of eval_gcd_bb1_in/3 0.05/0.21 * CEs [9] --> Loop 7 0.05/0.21 * CEs [10] --> Loop 8 0.05/0.21 * CEs [7] --> Loop 9 0.05/0.21 * CEs [8] --> Loop 10 0.05/0.21 0.05/0.21 ### Ranking functions of CR eval_gcd_bb1_in(V__01,V__0,B) 0.05/0.21 * RF of phase [7,8]: [V__01+V__0-1] 0.05/0.21 0.05/0.21 #### Partial ranking functions of CR eval_gcd_bb1_in(V__01,V__0,B) 0.05/0.21 * Partial RF of phase [7,8]: 0.05/0.21 - RF of loop [7:1]: 0.05/0.21 V__01 0.05/0.21 V__01-V__0+1 depends on loops [8:1] 0.05/0.21 - RF of loop [8:1]: 0.05/0.21 V__0-1 0.05/0.21 -V__01+V__0 depends on loops [7:1] 0.05/0.21 0.05/0.21 0.05/0.21 ### Specialization of cost equations eval_gcd_bb0_in/3 0.05/0.21 * CE 2 is refined into CE [11,12,13] 0.05/0.21 0.05/0.21 0.05/0.21 ### Cost equations --> "Loop" of eval_gcd_bb0_in/3 0.05/0.21 * CEs [13] --> Loop 11 0.05/0.21 * CEs [11] --> Loop 12 0.05/0.21 * CEs [12] --> Loop 13 0.05/0.21 0.05/0.21 ### Ranking functions of CR eval_gcd_bb0_in(V_x,V_y,B) 0.05/0.21 0.05/0.21 #### Partial ranking functions of CR eval_gcd_bb0_in(V_x,V_y,B) 0.05/0.21 0.05/0.21 0.05/0.21 ### Specialization of cost equations eval_gcd_start/3 0.05/0.21 * CE 1 is refined into CE [14,15,16] 0.05/0.21 0.05/0.21 0.05/0.21 ### Cost equations --> "Loop" of eval_gcd_start/3 0.05/0.21 * CEs [16] --> Loop 14 0.05/0.21 * CEs [15] --> Loop 15 0.05/0.21 * CEs [14] --> Loop 16 0.05/0.21 0.05/0.21 ### Ranking functions of CR eval_gcd_start(V_x,V_y,B) 0.05/0.21 0.05/0.21 #### Partial ranking functions of CR eval_gcd_start(V_x,V_y,B) 0.05/0.21 0.05/0.21 0.05/0.21 Computing Bounds 0.05/0.21 ===================================== 0.05/0.21 0.05/0.21 #### Cost of chains of eval_gcd_bb1_in(V__01,V__0,B): 0.05/0.21 * Chain [[7,8],10]: 1*it(7)+1*it(8)+0 0.05/0.21 Such that:aux(4) =< -V__01+V__0 0.05/0.21 aux(2) =< V__01-V__0+1 0.05/0.21 aux(1) =< 2*V__01+V__0 0.05/0.21 aux(14) =< V__01 0.05/0.21 aux(15) =< V__01+V__0 0.05/0.21 aux(16) =< V__01+2*V__0 0.05/0.21 aux(17) =< V__0 0.05/0.21 aux(3) =< aux(14) 0.05/0.21 it(7) =< aux(14) 0.05/0.21 aux(3) =< aux(15) 0.05/0.21 it(7) =< aux(15) 0.05/0.21 it(8) =< aux(15) 0.05/0.21 aux(1) =< aux(16) 0.05/0.21 aux(3) =< aux(16) 0.05/0.21 aux(1) =< aux(17) 0.05/0.21 it(8) =< aux(17) 0.05/0.21 it(8) =< aux(3)+aux(4)
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