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Complexity_ITS 2019-03-21 04.46 pair #429989942
details
property
value
status
complete
benchmark
wcet1.c.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
Flores-Montoya_16
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
3.72752 seconds
cpu usage
7.72518
user time
7.43005
system time
0.295131
max virtual memory
1.8478716E7
max residence set size
222332.0
stage attributes
key
value
starexec-result
WORST_CASE(Omega(n^1), O(n^1))
output
7.66/3.64 WORST_CASE(Omega(n^1), O(n^1)) 7.66/3.65 proof of /export/starexec/sandbox/benchmark/theBenchmark.koat 7.66/3.65 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.66/3.65 7.66/3.65 7.66/3.65 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1). 7.66/3.65 7.66/3.65 (0) CpxIntTrs 7.66/3.65 (1) Koat Proof [FINISHED, 231 ms] 7.66/3.65 (2) BOUNDS(1, n^1) 7.66/3.65 (3) Loat Proof [FINISHED, 1927 ms] 7.66/3.65 (4) BOUNDS(n^1, INF) 7.66/3.65 7.66/3.65 7.66/3.65 ---------------------------------------- 7.66/3.65 7.66/3.65 (0) 7.66/3.65 Obligation: 7.66/3.65 Complexity Int TRS consisting of the following rules: 7.66/3.65 eval_wcet1_start(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_bb0_in(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE 7.66/3.65 eval_wcet1_bb0_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_0(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE 7.66/3.65 eval_wcet1_0(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_1(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE 7.66/3.65 eval_wcet1_1(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_2(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE 7.66/3.65 eval_wcet1_2(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_3(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE 7.66/3.65 eval_wcet1_3(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_bb1_in(v_1, v_n, 0, v_j_3, v_n)) :|: v_n >= 1 7.66/3.65 eval_wcet1_3(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_bb5_in(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: v_n < 1 7.66/3.65 eval_wcet1_bb1_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_4(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE 7.66/3.65 eval_wcet1_4(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_5(nondef_0, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE 7.66/3.65 eval_wcet1_5(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_bb2_in(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: v_1 > 0 7.66/3.65 eval_wcet1_5(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_bb3_in(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: v_1 <= 0 7.66/3.65 eval_wcet1_bb2_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_bb4_in(v_1, v_i_0, v_j_0, 0, v_n)) :|: v_j_0 + 1 >= v_n 7.66/3.65 eval_wcet1_bb2_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_bb4_in(v_1, v_i_0, v_j_0, v_j_0 + 1, v_n)) :|: v_j_0 + 1 < v_n 7.66/3.65 eval_wcet1_bb3_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_bb4_in(v_1, v_i_0, v_j_0, 0, v_n)) :|: v_j_0 - 1 <= 0 7.66/3.65 eval_wcet1_bb3_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_bb4_in(v_1, v_i_0, v_j_0, v_j_0 - 1, v_n)) :|: v_j_0 - 1 > 0 7.66/3.65 eval_wcet1_bb4_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_bb1_in(v_1, v_i_0 - 1, v_j_3, v_j_3, v_n)) :|: v_i_0 - 1 > 0 7.66/3.65 eval_wcet1_bb4_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_bb5_in(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: v_i_0 - 1 <= 0 7.66/3.65 eval_wcet1_bb5_in(v_1, v_i_0, v_j_0, v_j_3, v_n) -> Com_1(eval_wcet1_stop(v_1, v_i_0, v_j_0, v_j_3, v_n)) :|: TRUE 7.66/3.65 7.66/3.65 The start-symbols are:[eval_wcet1_start_5] 7.66/3.65 7.66/3.65 7.66/3.65 ---------------------------------------- 7.66/3.65 7.66/3.65 (1) Koat Proof (FINISHED) 7.66/3.65 YES(?, 9*ar_0 + 19) 7.66/3.65 7.66/3.65 7.66/3.65 7.66/3.65 Initial complexity problem: 7.66/3.65 7.66/3.65 1: T: 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet1start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet1bb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet1bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet10(ar_0, ar_1, ar_2, ar_3, ar_4)) 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet11(ar_0, ar_1, ar_2, ar_3, ar_4)) 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet12(ar_0, ar_1, ar_2, ar_3, ar_4)) 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet12(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet13(ar_0, ar_1, ar_2, ar_3, ar_4)) 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet13(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet1bb1in(ar_0, ar_0, 0, ar_3, ar_4)) [ ar_0 >= 1 ] 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet13(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ] 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet1bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet14(ar_0, ar_1, ar_2, ar_3, ar_4)) 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet14(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet15(ar_0, ar_1, ar_2, f, ar_4)) 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet15(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ] 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet15(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ] 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet1bb4in(ar_0, ar_1, ar_2, ar_3, 0)) [ ar_2 + 1 >= ar_0 ] 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet1bb4in(ar_0, ar_1, ar_2, ar_3, ar_2 + 1)) [ ar_0 >= ar_2 + 2 ] 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet1bb4in(ar_0, ar_1, ar_2, ar_3, 0)) [ 1 >= ar_2 ] 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet1bb4in(ar_0, ar_1, ar_2, ar_3, ar_2 - 1)) [ ar_2 >= 2 ] 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet1bb1in(ar_0, ar_1 - 1, ar_4, ar_3, ar_4)) [ ar_1 >= 2 ] 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 1 >= ar_1 ] 7.66/3.65 7.66/3.65 (Comp: ?, Cost: 1) evalwcet1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet1stop(ar_0, ar_1, ar_2, ar_3, ar_4)) 7.66/3.65 7.66/3.65 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalwcet1start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] 7.66/3.65 7.66/3.65 start location: koat_start 7.66/3.65 7.66/3.65 leaf cost: 0 7.66/3.65 7.66/3.65 7.66/3.65 7.66/3.65 Repeatedly propagating knowledge in problem 1 produces the following problem: 7.66/3.65 7.66/3.65 2: T: 7.66/3.65
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