details

property	value
status	complete
benchmark	09.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n035.star.cs.uiowa.edu
space	Beerendonk

run statistics

property	value
solver	CoFloCo 2018
configuration	its
runtime (wallclock)	0.101436 seconds
cpu usage	0.118673
user time	0.099414
system time	0.019259
max virtual memory	113176.0
max residence set size	10788.0

stage attributes

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

output

0.03/0.09 WORST_CASE(?,O(n^1)) 0.03/0.09 0.03/0.09 Preprocessing Cost Relations 0.03/0.09 ===================================== 0.03/0.09 0.03/0.09 #### Computed strongly connected components 0.03/0.09 0. recursive : [eval/4] 0.03/0.09 1. non_recursive : [exit_location/1] 0.03/0.09 2. non_recursive : [eval_loop_cont/2] 0.03/0.09 3. non_recursive : [start/4] 0.03/0.09 0.03/0.09 #### Obtained direct recursion through partial evaluation 0.03/0.09 0. SCC is partially evaluated into eval/4 0.03/0.09 1. SCC is completely evaluated into other SCCs 0.03/0.09 2. SCC is completely evaluated into other SCCs 0.03/0.09 3. SCC is partially evaluated into start/4 0.03/0.09 0.03/0.09 Control-Flow Refinement of Cost Relations 0.03/0.09 ===================================== 0.03/0.09 0.03/0.09 ### Specialization of cost equations eval/4 0.03/0.09 * CE 3 is refined into CE [4] 0.03/0.09 * CE 2 is refined into CE [5] 0.03/0.09 0.03/0.09 0.03/0.09 ### Cost equations --> "Loop" of eval/4 0.03/0.09 * CEs [5] --> Loop 4 0.03/0.09 * CEs [4] --> Loop 5 0.03/0.09 0.03/0.09 ### Ranking functions of CR eval(A,B,C,D) 0.03/0.10 * RF of phase [4]: [A-B,-B+C] 0.03/0.10 0.03/0.10 #### Partial ranking functions of CR eval(A,B,C,D) 0.03/0.10 * Partial RF of phase [4]: 0.03/0.10 - RF of loop [4:1]: 0.03/0.10 A-B 0.03/0.10 -B+C 0.03/0.10 0.03/0.10 0.03/0.10 ### Specialization of cost equations start/4 0.03/0.10 * CE 1 is refined into CE [6,7] 0.03/0.10 0.03/0.10 0.03/0.10 ### Cost equations --> "Loop" of start/4 0.03/0.10 * CEs [7] --> Loop 6 0.03/0.10 * CEs [6] --> Loop 7 0.03/0.10 0.03/0.10 ### Ranking functions of CR start(A,B,C,D) 0.03/0.10 0.03/0.10 #### Partial ranking functions of CR start(A,B,C,D) 0.03/0.10 0.03/0.10 0.03/0.10 Computing Bounds 0.03/0.10 ===================================== 0.03/0.10 0.03/0.10 #### Cost of chains of eval(A,B,C,D): 0.03/0.10 * Chain [[4],5]: 1*it(4)+0 0.03/0.10 Such that:it(4) =< A-B 0.03/0.10 it(4) =< -B+C 0.03/0.10 0.03/0.10 with precondition: [D=2,A>=B+1,C>=B+1] 0.03/0.10 0.03/0.10 * Chain [5]: 0 0.03/0.10 with precondition: [D=2] 0.03/0.10 0.03/0.10 0.03/0.10 #### Cost of chains of start(A,B,C,D): 0.03/0.10 * Chain [7]: 0 0.03/0.10 with precondition: [] 0.03/0.10 0.03/0.10 * Chain [6]: 1*s(1)+0 0.03/0.10 Such that:s(1) =< A-B 0.03/0.10 s(1) =< -B+C 0.03/0.10 0.03/0.10 with precondition: [A>=B+1,C>=B+1] 0.03/0.10 0.03/0.10 0.03/0.10 Closed-form bounds of start(A,B,C,D): 0.03/0.10 ------------------------------------- 0.03/0.10 * Chain [7] with precondition: [] 0.03/0.10 - Upper bound: 0 0.03/0.10 - Complexity: constant 0.03/0.10 * Chain [6] with precondition: [A>=B+1,C>=B+1] 0.03/0.10 - Upper bound: A-B 0.03/0.10 - Complexity: n 0.03/0.10 0.03/0.10 ### Maximum cost of start(A,B,C,D): nat(A-B) 0.03/0.10 Asymptotic class: n 0.03/0.10 * Total analysis performed in 40 ms. 0.03/0.10 0.03/0.10 EOF popout

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job log

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actions

all output return to Complexity_ITS 2019-03-21 04.46