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Complexity_C_Integer 2019-03-21 04.38 pair #429988861
details
property
value
status
complete
benchmark
speed_pldi09_fig1.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
C4B_examples
run statistics
property
value
solver
CoFloCo 2018
configuration
C
runtime (wallclock)
0.268997 seconds
cpu usage
0.193127
user time
0.172084
system time
0.021043
max virtual memory
113176.0
max residence set size
11100.0
stage attributes
key
value
starexec-result
WORST_CASE(?,O(n^1))
output
0.05/0.16 WORST_CASE(?,O(n^1)) 0.05/0.16 0.05/0.16 Preprocessing Cost Relations 0.05/0.16 ===================================== 0.05/0.16 0.05/0.16 #### Computed strongly connected components 0.05/0.16 0. recursive : [eval_speed_pldi09_fig1_bb1_in/4,eval_speed_pldi09_fig1_bb2_in/4,eval_speed_pldi09_fig1_bb3_in/4,eval_speed_pldi09_fig1_bb4_in/4] 0.05/0.16 1. non_recursive : [eval_speed_pldi09_fig1_stop/1] 0.05/0.16 2. non_recursive : [eval_speed_pldi09_fig1_bb5_in/1] 0.05/0.16 3. non_recursive : [eval_speed_pldi09_fig1_bb1_in_loop_cont/2] 0.05/0.16 4. non_recursive : [eval_speed_pldi09_fig1_bb0_in/2] 0.05/0.16 5. non_recursive : [eval_speed_pldi09_fig1_start/2] 0.05/0.16 0.05/0.16 #### Obtained direct recursion through partial evaluation 0.05/0.16 0. SCC is partially evaluated into eval_speed_pldi09_fig1_bb1_in/4 0.05/0.16 1. SCC is completely evaluated into other SCCs 0.05/0.16 2. SCC is completely evaluated into other SCCs 0.05/0.16 3. SCC is completely evaluated into other SCCs 0.05/0.16 4. SCC is partially evaluated into eval_speed_pldi09_fig1_bb0_in/2 0.05/0.16 5. SCC is partially evaluated into eval_speed_pldi09_fig1_start/2 0.05/0.16 0.05/0.16 Control-Flow Refinement of Cost Relations 0.05/0.16 ===================================== 0.05/0.16 0.05/0.16 ### Specialization of cost equations eval_speed_pldi09_fig1_bb1_in/4 0.05/0.16 * CE 4 is refined into CE [6] 0.05/0.16 * CE 5 is refined into CE [7] 0.05/0.16 * CE 3 is refined into CE [8] 0.05/0.16 0.05/0.16 0.05/0.16 ### Cost equations --> "Loop" of eval_speed_pldi09_fig1_bb1_in/4 0.05/0.16 * CEs [8] --> Loop 6 0.05/0.16 * CEs [6] --> Loop 7 0.05/0.16 * CEs [7] --> Loop 8 0.05/0.16 0.05/0.16 ### Ranking functions of CR eval_speed_pldi09_fig1_bb1_in(V_n,V_y_0,V_x_0,B) 0.05/0.16 * RF of phase [7]: [V_y_0] 0.05/0.16 * RF of phase [8]: [V_n-V_x_0,V_n-V_y_0] 0.05/0.16 0.05/0.16 #### Partial ranking functions of CR eval_speed_pldi09_fig1_bb1_in(V_n,V_y_0,V_x_0,B) 0.05/0.16 * Partial RF of phase [7]: 0.05/0.16 - RF of loop [7:1]: 0.05/0.16 V_y_0 0.05/0.16 * Partial RF of phase [8]: 0.05/0.16 - RF of loop [8:1]: 0.05/0.16 V_n-V_x_0 0.05/0.16 V_n-V_y_0 0.05/0.16 0.05/0.16 0.05/0.16 ### Specialization of cost equations eval_speed_pldi09_fig1_bb0_in/2 0.05/0.16 * CE 2 is refined into CE [9,10] 0.05/0.16 0.05/0.16 0.05/0.16 ### Cost equations --> "Loop" of eval_speed_pldi09_fig1_bb0_in/2 0.05/0.16 * CEs [10] --> Loop 9 0.05/0.16 * CEs [9] --> Loop 10 0.05/0.16 0.05/0.16 ### Ranking functions of CR eval_speed_pldi09_fig1_bb0_in(V_n,B) 0.05/0.16 0.05/0.16 #### Partial ranking functions of CR eval_speed_pldi09_fig1_bb0_in(V_n,B) 0.05/0.16 0.05/0.16 0.05/0.16 ### Specialization of cost equations eval_speed_pldi09_fig1_start/2 0.05/0.16 * CE 1 is refined into CE [11,12] 0.05/0.16 0.05/0.16 0.05/0.16 ### Cost equations --> "Loop" of eval_speed_pldi09_fig1_start/2 0.05/0.16 * CEs [12] --> Loop 11 0.05/0.16 * CEs [11] --> Loop 12 0.05/0.16 0.05/0.16 ### Ranking functions of CR eval_speed_pldi09_fig1_start(V_n,B) 0.05/0.16 0.05/0.16 #### Partial ranking functions of CR eval_speed_pldi09_fig1_start(V_n,B) 0.05/0.16 0.05/0.16 0.05/0.16 Computing Bounds 0.05/0.16 ===================================== 0.05/0.16 0.05/0.16 #### Cost of chains of eval_speed_pldi09_fig1_bb1_in(V_n,V_y_0,V_x_0,B): 0.05/0.16 * Chain [[8],[7],6]: 1*it(7)+1*it(8)+0 0.05/0.16 Such that:it(7) =< V_n 0.05/0.16 it(8) =< V_n-V_x_0 0.05/0.16 0.05/0.16 with precondition: [B=2,V_y_0=V_x_0,V_y_0>=0,V_n>=V_y_0+1] 0.05/0.16 0.05/0.16 * Chain [6]: 0 0.05/0.16 with precondition: [V_y_0=0,B=2,V_x_0>=0,V_x_0>=V_n] 0.05/0.16 0.05/0.16 0.05/0.16 #### Cost of chains of eval_speed_pldi09_fig1_bb0_in(V_n,B): 0.05/0.16 * Chain [10]: 0 0.05/0.16 with precondition: [0>=V_n] 0.05/0.16 0.05/0.16 * Chain [9]: 2*s(1)+0 0.05/0.16 Such that:aux(1) =< V_n 0.05/0.16 s(1) =< aux(1) 0.05/0.16 0.05/0.16 with precondition: [V_n>=1] 0.05/0.16 0.05/0.16
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