details

property	value
status	complete
benchmark	merge.koat
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n074.star.cs.uiowa.edu
space	misc

run statistics

property	value
solver	CoFloCo 2018
configuration	its
runtime (wallclock)	0.21515417099 seconds
cpu usage	0.127703474
max memory	8433664.0

stage attributes

key	value
output-size	2420
starexec-result	WORST_CASE(?,O(n^1))

output

/export/starexec/sandbox/solver/bin/starexec_run_its /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^1)) Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. recursive : [merge/3] 1. non_recursive : [exit_location/1] 2. non_recursive : [merge_loop_cont/2] 3. non_recursive : [start/3] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into merge/3 1. SCC is completely evaluated into other SCCs 2. SCC is completely evaluated into other SCCs 3. SCC is partially evaluated into start/3 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations merge/3 * CE 4 is refined into CE [5] * CE 2 is refined into CE [6] * CE 3 is refined into CE [7] ### Cost equations --> "Loop" of merge/3 * CEs [6] --> Loop 5 * CEs [7] --> Loop 6 * CEs [5] --> Loop 7 ### Ranking functions of CR merge(A,B,C) * RF of phase [5,6]: [A+B-1] #### Partial ranking functions of CR merge(A,B,C) * Partial RF of phase [5,6]: - RF of loop [5:1]: A - RF of loop [6:1]: B ### Specialization of cost equations start/3 * CE 1 is refined into CE [8,9] ### Cost equations --> "Loop" of start/3 * CEs [9] --> Loop 8 * CEs [8] --> Loop 9 ### Ranking functions of CR start(A,B,C) #### Partial ranking functions of CR start(A,B,C) Computing Bounds ===================================== #### Cost of chains of merge(A,B,C): * Chain [[5,6],7]: 1*it(5)+1*it(6)+0 Such that:it(5) =< A it(6) =< B aux(3) =< A+B it(5) =< aux(3) it(6) =< aux(3) with precondition: [C=2,A>=1,B>=1] * Chain [7]: 0 with precondition: [C=2] #### Cost of chains of start(A,B,C): * Chain [9]: 0 with precondition: [] * Chain [8]: 1*s(1)+1*s(2)+0 Such that:s(1) =< A s(3) =< A+B s(2) =< B s(1) =< s(3) s(2) =< s(3) with precondition: [A>=1,B>=1] Closed-form bounds of start(A,B,C): ------------------------------------- * Chain [9] with precondition: [] - Upper bound: 0 - Complexity: constant * Chain [8] with precondition: [A>=1,B>=1] - Upper bound: A+B - Complexity: n popout

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job log

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actions

all output return to Compl Integ Trans Syste 26843