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Complexity_C_Integer 2019-03-21 04.38 pair #429989011
details
property
value
status
complete
benchmark
NoriSharma-FSE2013-Fig8_true-termination.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Adapted_from_Stroeder_15
run statistics
property
value
solver
CoFloCo 2018
configuration
C
runtime (wallclock)
0.313547 seconds
cpu usage
0.239232
user time
0.207137
system time
0.032095
max virtual memory
113176.0
max residence set size
11308.0
stage attributes
key
value
starexec-result
WORST_CASE(?,O(n^2))
output
0.05/0.21 WORST_CASE(?,O(n^2)) 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_foo_bb1_in/4,eval_foo_bb2_in/4,eval_foo_bb3_in/4,eval_foo_bb4_in/4] 0.05/0.21 1. non_recursive : [eval_foo_stop/1] 0.05/0.21 2. non_recursive : [eval_foo_bb5_in/1] 0.05/0.21 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.21 4. non_recursive : [eval_foo_bb0_in/4] 0.05/0.21 5. non_recursive : [eval_foo_start/8] 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_foo_bb1_in/4 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_foo_bb0_in/4 0.05/0.21 5. SCC is partially evaluated into eval_foo_start/8 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_foo_bb1_in/4 0.05/0.21 * CE 5 is refined into CE [6] 0.05/0.21 * CE 3 is refined into CE [7] 0.05/0.21 * CE 4 is refined into CE [8] 0.05/0.21 0.05/0.21 0.05/0.21 ### Cost equations --> "Loop" of eval_foo_bb1_in/4 0.05/0.21 * CEs [7] --> Loop 6 0.05/0.21 * CEs [8] --> Loop 7 0.05/0.21 * CEs [6] --> Loop 8 0.05/0.21 0.05/0.21 ### Ranking functions of CR eval_foo_bb1_in(V__04,V__02,V__01,B) 0.05/0.21 * RF of phase [6]: [V__01-1] 0.05/0.21 * RF of phase [7]: [V__04-V__02+1] 0.05/0.21 0.05/0.21 #### Partial ranking functions of CR eval_foo_bb1_in(V__04,V__02,V__01,B) 0.05/0.21 * Partial RF of phase [6]: 0.05/0.21 - RF of loop [6:1]: 0.05/0.21 V__01-1 0.05/0.21 * Partial RF of phase [7]: 0.05/0.21 - RF of loop [7:1]: 0.05/0.21 V__04-V__02+1 0.05/0.21 0.05/0.21 0.05/0.21 ### Specialization of cost equations eval_foo_bb0_in/4 0.05/0.21 * CE 2 is refined into CE [9,10,11] 0.05/0.21 0.05/0.21 0.05/0.21 ### Cost equations --> "Loop" of eval_foo_bb0_in/4 0.05/0.21 * CEs [11] --> Loop 9 0.05/0.21 * CEs [10] --> Loop 10 0.05/0.21 * CEs [9] --> Loop 11 0.05/0.21 0.05/0.21 ### Ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_z,B) 0.05/0.21 0.05/0.21 #### Partial ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_z,B) 0.05/0.21 0.05/0.21 0.05/0.21 ### Specialization of cost equations eval_foo_start/8 0.05/0.21 * CE 1 is refined into CE [12,13,14] 0.05/0.21 0.05/0.21 0.05/0.21 ### Cost equations --> "Loop" of eval_foo_start/8 0.05/0.21 * CEs [14] --> Loop 12 0.05/0.21 * CEs [13] --> Loop 13 0.05/0.21 * CEs [12] --> Loop 14 0.05/0.21 0.05/0.21 ### Ranking functions of CR eval_foo_start(V_c,V_u,V_v,V_w,V_x,V_y,V_z,B) 0.05/0.21 0.05/0.21 #### Partial ranking functions of CR eval_foo_start(V_c,V_u,V_v,V_w,V_x,V_y,V_z,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_foo_bb1_in(V__04,V__02,V__01,B): 0.05/0.21 * Chain [[7],8]: 1*it(7)+0 0.05/0.21 Such that:it(7) =< V__04-V__02+1 0.05/0.21 0.05/0.21 with precondition: [B=2,1>=V__01,V__04>=V__02] 0.05/0.21 0.05/0.21 * Chain [[6],[7],8]: 1*it(6)+1*s(1)+0 0.05/0.21 Such that:it([[7],8]) =< 1 0.05/0.21 aux(14) =< V__04-V__02+1 0.05/0.21 aux(15) =< V__01 0.05/0.21 it(6) =< aux(15) 0.05/0.21 aux(10) =< aux(15) 0.05/0.21 aux(9) =< it(6)*aux(15) 0.05/0.21 aux(1) =< it(6)*aux(15) 0.05/0.21 aux(11) =< it(6)*aux(10) 0.05/0.21 aux(3) =< aux(9) 0.05/0.21 aux(1) =< it(6)*aux(10) 0.05/0.21 aux(3) =< aux(11) 0.05/0.21 s(1) =< aux(1)+aux(14) 0.05/0.21 aux(5) =< aux(14)+aux(3) 0.05/0.21 s(1) =< aux(3)+aux(14)
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