details

property	value
status	complete
benchmark	random2d.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n129.star.cs.uiowa.edu
space	WTC_V2

run statistics

property	value
solver	AProVE
configuration	c_complexity
runtime (wallclock)	3.45232 seconds
cpu usage	4.73696
user time	4.30909
system time	0.427875
max virtual memory	1.8556704E7
max residence set size	228968.0

stage attributes

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

output

4.64/3.41 WORST_CASE(?, O(n^1)) 4.64/3.43 proof of /export/starexec/sandbox/output/output_files/bench.koat 4.64/3.43 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.64/3.43 4.64/3.43 4.64/3.43 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 4.64/3.43 4.64/3.43 (0) CpxIntTrs 4.64/3.43 (1) Koat Proof [FINISHED, 2089 ms] 4.64/3.43 (2) BOUNDS(1, n^1) 4.64/3.43 4.64/3.43 4.64/3.43 ---------------------------------------- 4.64/3.43 4.64/3.43 (0) 4.64/3.43 Obligation: 4.64/3.43 Complexity Int TRS consisting of the following rules: 4.64/3.43 eval_random2d_start(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb0_in(v_1, v_2, v_N, v_i.0)) :|: TRUE 4.64/3.43 eval_random2d_bb0_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, 0)) :|: TRUE 4.64/3.43 eval_random2d_bb1_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb2_in(v_1, v_2, v_N, v_i.0)) :|: v_i.0 < v_N 4.64/3.43 eval_random2d_bb1_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb8_in(v_1, v_2, v_N, v_i.0)) :|: v_i.0 >= v_N 4.64/3.43 eval_random2d_bb2_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_1(v_i.0 + 1, v_2, v_N, v_i.0)) :|: TRUE 4.64/3.43 eval_random2d_1(v_1, v_2, v_N, v_i.0) -> Com_2(eval_nondet_start(v_1, v_2, v_N, v_i.0), eval_random2d_2(v_1, nondef.0, v_N, v_i.0)) :|: TRUE 4.64/3.43 eval_random2d_2(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb3_in(v_1, v_2, v_N, v_i.0)) :|: v_2 >= 0 && v_2 <= 3 4.64/3.43 eval_random2d_2(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: v_2 < 0 4.64/3.43 eval_random2d_2(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: v_2 > 3 4.64/3.43 eval_random2d_bb3_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_NodeBlock9_in(v_1, v_2, v_N, v_i.0)) :|: TRUE 4.64/3.43 eval_random2d_NodeBlock9_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_NodeBlock_in(v_1, v_2, v_N, v_i.0)) :|: v_2 < 2 4.64/3.43 eval_random2d_NodeBlock9_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_NodeBlock7_in(v_1, v_2, v_N, v_i.0)) :|: v_2 >= 2 4.64/3.43 eval_random2d_NodeBlock_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_LeafBlock_in(v_1, v_2, v_N, v_i.0)) :|: v_2 < 1 4.64/3.43 eval_random2d_NodeBlock_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_LeafBlock1_in(v_1, v_2, v_N, v_i.0)) :|: v_2 >= 1 4.64/3.43 eval_random2d_LeafBlock_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb4_in(v_1, v_2, v_N, v_i.0)) :|: v_2 >= 0 && v_2 <= 0 4.64/3.43 eval_random2d_LeafBlock_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i.0)) :|: v_2 < 0 4.64/3.43 eval_random2d_LeafBlock_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i.0)) :|: v_2 > 0 4.64/3.43 eval_random2d_bb4_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: TRUE 4.64/3.43 eval_random2d_LeafBlock1_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb5_in(v_1, v_2, v_N, v_i.0)) :|: v_2 >= 1 && v_2 <= 1 4.64/3.43 eval_random2d_LeafBlock1_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i.0)) :|: v_2 < 1 4.64/3.43 eval_random2d_LeafBlock1_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i.0)) :|: v_2 > 1 4.64/3.43 eval_random2d_bb5_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: TRUE 4.64/3.43 eval_random2d_NodeBlock7_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_LeafBlock3_in(v_1, v_2, v_N, v_i.0)) :|: v_2 < 3 4.64/3.43 eval_random2d_NodeBlock7_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_LeafBlock5_in(v_1, v_2, v_N, v_i.0)) :|: v_2 >= 3 4.64/3.43 eval_random2d_LeafBlock3_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb6_in(v_1, v_2, v_N, v_i.0)) :|: v_2 >= 2 && v_2 <= 2 4.64/3.43 eval_random2d_LeafBlock3_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i.0)) :|: v_2 < 2 4.64/3.43 eval_random2d_LeafBlock3_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i.0)) :|: v_2 > 2 4.64/3.43 eval_random2d_bb6_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: TRUE 4.64/3.43 eval_random2d_LeafBlock5_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb7_in(v_1, v_2, v_N, v_i.0)) :|: v_2 >= 3 && v_2 <= 3 4.64/3.43 eval_random2d_LeafBlock5_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i.0)) :|: v_2 < 3 4.64/3.43 eval_random2d_LeafBlock5_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i.0)) :|: v_2 > 3 4.64/3.43 eval_random2d_bb7_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: TRUE 4.64/3.43 eval_random2d_NewDefault_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_bb1_in(v_1, v_2, v_N, v_1)) :|: TRUE 4.64/3.43 eval_random2d_bb8_in(v_1, v_2, v_N, v_i.0) -> Com_1(eval_random2d_stop(v_1, v_2, v_N, v_i.0)) :|: TRUE 4.64/3.43 4.64/3.43 The start-symbols are:[eval_random2d_start_4] 4.64/3.43 4.64/3.43 4.64/3.43 ---------------------------------------- 4.64/3.43 4.64/3.43 (1) Koat Proof (FINISHED) 4.64/3.43 YES(?, 253*ar_1 + 6) 4.64/3.43 4.64/3.43 4.64/3.43 4.64/3.43 Initial complexity problem: 4.64/3.43 4.64/3.43 1: T: 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2dstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2dbb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2dbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2dbb1in(0, ar_1, ar_2, ar_3, ar_4)) 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2dbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2dbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 + 1 ] 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2dbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2dbb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 ] 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2dbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2d1(ar_0, ar_1, ar_0 + 1, ar_3, ar_4)) 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2d10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2d11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2d2(ar_0, ar_1, ar_2, ar_4, ar_4)) 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2d1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalrandom2d10(ar_0, ar_1, ar_2, ar_3, f), evalrandom2d11(ar_0, ar_1, ar_2, ar_3, f)) 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2d2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2dbb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= 0 /\ 3 >= ar_3 ] 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2d2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2dbb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 + 1 ] 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2d2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2dbb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= 4 ] 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2dbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2dNodeBlock9in(ar_0, ar_1, ar_2, ar_3, ar_4)) 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2dNodeBlock9in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2dNodeBlockin(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 1 >= ar_3 ] 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2dNodeBlock9in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2dNodeBlock7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= 2 ] 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2dNodeBlockin(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2dLeafBlockin(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ] 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2dNodeBlockin(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2dLeafBlock1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ] 4.64/3.43 4.64/3.43 (Comp: ?, Cost: 1) evalrandom2dLeafBlockin(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalrandom2dbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 = 0 ] 4.64/3.43 popout

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all output return to Complexity_C_Integer 2019-03-21 04.38