details

property	value
status	complete
benchmark	sqrt.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n139.star.cs.uiowa.edu
space	patrs

run statistics

property	value
solver	CoFloCo 2018
configuration	its
runtime (wallclock)	0.271672 seconds
cpu usage	0.189315
user time	0.168778
system time	0.020537
max virtual memory	113176.0
max residence set size	11200.0

stage attributes

key	value
starexec-result	WORST_CASE(?,O(n^1))

output

0.02/0.16 WORST_CASE(?,O(n^1)) 0.02/0.16 0.02/0.16 Preprocessing Cost Relations 0.02/0.16 ===================================== 0.02/0.16 0.02/0.16 #### Computed strongly connected components 0.02/0.16 0. recursive : [f/8] 0.02/0.16 1. non_recursive : [end/5] 0.02/0.16 2. non_recursive : [exit_location/1] 0.02/0.16 3. non_recursive : [f_loop_cont/6] 0.02/0.16 4. non_recursive : [sqrt/5] 0.02/0.16 0.02/0.16 #### Obtained direct recursion through partial evaluation 0.02/0.16 0. SCC is partially evaluated into f/8 0.02/0.16 1. SCC is completely evaluated into other SCCs 0.02/0.16 2. SCC is completely evaluated into other SCCs 0.02/0.16 3. SCC is partially evaluated into f_loop_cont/6 0.02/0.16 4. SCC is partially evaluated into sqrt/5 0.02/0.16 0.02/0.16 Control-Flow Refinement of Cost Relations 0.02/0.16 ===================================== 0.02/0.16 0.02/0.16 ### Specialization of cost equations f/8 0.02/0.16 * CE 4 is refined into CE [7] 0.02/0.16 * CE 3 is refined into CE [8] 0.02/0.16 * CE 2 is refined into CE [9] 0.02/0.16 0.02/0.16 0.02/0.16 ### Cost equations --> "Loop" of f/8 0.02/0.16 * CEs [9] --> Loop 7 0.02/0.16 * CEs [7] --> Loop 8 0.02/0.16 * CEs [8] --> Loop 9 0.02/0.16 0.02/0.16 ### Ranking functions of CR f(A,B,C,D,E,F,G,H) 0.02/0.16 * RF of phase [7]: [-C/2+D/2+1/2] 0.02/0.16 0.02/0.16 #### Partial ranking functions of CR f(A,B,C,D,E,F,G,H) 0.02/0.16 * Partial RF of phase [7]: 0.02/0.16 - RF of loop [7:1]: 0.02/0.16 -C/2+D/2+1/2 0.02/0.16 0.02/0.16 0.02/0.16 ### Specialization of cost equations f_loop_cont/6 0.02/0.16 * CE 6 is refined into CE [10] 0.02/0.16 * CE 5 is refined into CE [11] 0.02/0.16 0.02/0.16 0.02/0.17 ### Cost equations --> "Loop" of f_loop_cont/6 0.02/0.17 * CEs [10] --> Loop 10 0.02/0.17 * CEs [11] --> Loop 11 0.02/0.17 0.02/0.17 ### Ranking functions of CR f_loop_cont(A,B,C,D,E,F) 0.02/0.17 0.02/0.17 #### Partial ranking functions of CR f_loop_cont(A,B,C,D,E,F) 0.02/0.17 0.02/0.17 0.02/0.17 ### Specialization of cost equations sqrt/5 0.02/0.17 * CE 1 is refined into CE [12,13,14,15] 0.02/0.17 0.02/0.17 0.02/0.17 ### Cost equations --> "Loop" of sqrt/5 0.02/0.17 * CEs [12,15] --> Loop 12 0.02/0.17 * CEs [13] --> Loop 13 0.02/0.17 * CEs [14] --> Loop 14 0.02/0.17 0.02/0.17 ### Ranking functions of CR sqrt(A,B,C,D,E) 0.02/0.17 0.02/0.17 #### Partial ranking functions of CR sqrt(A,B,C,D,E) 0.02/0.17 0.02/0.17 0.02/0.17 Computing Bounds 0.02/0.17 ===================================== 0.02/0.17 0.02/0.17 #### Cost of chains of f(A,B,C,D,E,F,G,H): 0.02/0.17 * Chain [[7],9]: 1*it(7)+0 0.02/0.17 Such that:it(7) =< -C/2+D/2+1/2 0.02/0.17 0.02/0.17 with precondition: [E=2,B=2*A+1,2*F+1=G,B>=0,2*F>=B+1,H>=D+1,D+2*F+1>=H,B+H>=4*F+C] 0.02/0.17 0.02/0.17 * Chain [[7],8]: 1*it(7)+0 0.02/0.17 Such that:it(7) =< -C/2+D/2+1/2 0.02/0.17 0.02/0.17 with precondition: [E=3,B=2*A+1,B>=0,D>=C] 0.02/0.17 0.02/0.17 * Chain [9]: 0 0.02/0.17 with precondition: [E=2,2*A+1=B,A=F,2*A+1=G,C=H,C>=D+1] 0.02/0.17 0.02/0.17 * Chain [8]: 0 0.02/0.17 with precondition: [E=3,B=2*A+1] 0.02/0.17 0.02/0.17 0.02/0.17 #### Cost of chains of f_loop_cont(A,B,C,D,E,F): 0.02/0.17 * Chain [11]: 0 0.02/0.17 with precondition: [A=2] 0.02/0.17 0.02/0.17 * Chain [10]: 0 0.02/0.17 with precondition: [A=3] 0.02/0.17 0.02/0.17 0.02/0.17 #### Cost of chains of sqrt(A,B,C,D,E): popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to Complexity_ITS 2019-03-21 04.46