details

property	value
status	complete
benchmark	241.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n154.star.cs.uiowa.edu
space	T2

run statistics

property	value
solver	CoFloCo 2018
configuration	its
runtime (wallclock)	0.232174 seconds
cpu usage	0.149603
user time	0.137922
system time	0.011681
max virtual memory	113176.0
max residence set size	11120.0

stage attributes

key	value
starexec-result	WORST_CASE(?,O(n^2))

output

0.03/0.13 WORST_CASE(?,O(n^2)) 0.03/0.13 0.03/0.13 Preprocessing Cost Relations 0.03/0.13 ===================================== 0.03/0.13 0.03/0.13 #### Computed strongly connected components 0.03/0.13 0. recursive : [f3/3] 0.03/0.13 1. non_recursive : [exit_location/1] 0.03/0.13 2. non_recursive : [f3_loop_cont/2] 0.03/0.13 3. non_recursive : [f1/3] 0.03/0.13 0.03/0.13 #### Obtained direct recursion through partial evaluation 0.03/0.13 0. SCC is partially evaluated into f3/3 0.03/0.13 1. SCC is completely evaluated into other SCCs 0.03/0.13 2. SCC is completely evaluated into other SCCs 0.03/0.13 3. SCC is partially evaluated into f1/3 0.03/0.13 0.03/0.13 Control-Flow Refinement of Cost Relations 0.03/0.13 ===================================== 0.03/0.13 0.03/0.13 ### Specialization of cost equations f3/3 0.03/0.13 * CE 4 is refined into CE [5] 0.03/0.13 * CE 3 is refined into CE [6] 0.03/0.13 * CE 2 is refined into CE [7] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of f3/3 0.03/0.13 * CEs [6] --> Loop 5 0.03/0.13 * CEs [7] --> Loop 6 0.03/0.13 * CEs [5] --> Loop 7 0.03/0.13 0.03/0.13 ### Ranking functions of CR f3(A,B,C) 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f3(A,B,C) 0.03/0.13 * Partial RF of phase [5,6]: 0.03/0.13 - RF of loop [5:1]: 0.03/0.13 A-1 0.03/0.13 -B+1 depends on loops [6:1] 0.03/0.13 - RF of loop [6:1]: 0.03/0.13 B depends on loops [5:1] 0.03/0.13 0.03/0.13 0.03/0.13 ### Specialization of cost equations f1/3 0.03/0.13 * CE 1 is refined into CE [8] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of f1/3 0.03/0.13 * CEs [8] --> Loop 8 0.03/0.13 0.03/0.13 ### Ranking functions of CR f1(A,B,C) 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f1(A,B,C) 0.03/0.13 0.03/0.13 0.03/0.13 Computing Bounds 0.03/0.13 ===================================== 0.03/0.13 0.03/0.13 #### Cost of chains of f3(A,B,C): 0.03/0.13 * Chain [[5,6],7]: 1*it(5)+1*it(6)+0 0.03/0.13 Such that:aux(4) =< B 0.03/0.13 aux(9) =< A 0.03/0.13 it(5) =< aux(9) 0.03/0.13 aux(3) =< it(5)*aux(9) 0.03/0.13 it(6) =< aux(3)+aux(4) 0.03/0.13 0.03/0.13 with precondition: [C=2,A>=1,A>=B] 0.03/0.13 0.03/0.13 * Chain [7]: 0 0.03/0.13 with precondition: [C=2,A>=1,A>=B] 0.03/0.13 0.03/0.13 0.03/0.13 #### Cost of chains of f1(A,B,C): 0.03/0.13 * Chain [8]: 1*s(8)+1*s(10)+0 0.03/0.13 Such that:aux(10) =< A 0.03/0.13 s(8) =< aux(10) 0.03/0.13 s(9) =< s(8)*aux(10) 0.03/0.13 s(10) =< s(9)+aux(10) 0.03/0.13 0.03/0.13 with precondition: [A>=1] 0.03/0.13 0.03/0.13 0.03/0.13 Closed-form bounds of f1(A,B,C): 0.03/0.13 ------------------------------------- 0.03/0.13 * Chain [8] with precondition: [A>=1] 0.03/0.13 - Upper bound: 2*A+A*A 0.03/0.13 - Complexity: n^2 0.03/0.13 0.03/0.13 ### Maximum cost of f1(A,B,C): 2*A+A*A 0.03/0.13 Asymptotic class: n^2 0.03/0.13 * Total analysis performed in 65 ms. 0.03/0.13 0.03/0.23 EOF popout

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actions

all output return to Complexity_ITS 2019-03-21 04.46