details

property	value
status	complete
benchmark	cBench_hc_compute.c
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n079.star.cs.uiowa.edu
space	Sinn_2016

run statistics

property	value
solver	AProVE
configuration	c_complexity
runtime (wallclock)	4.96935 seconds
cpu usage	5.83301
user time	5.29475
system time	0.538262
max virtual memory	1.8696236E7
max residence set size	262148.0

stage attributes

key	value
starexec-result	WORST_CASE(?, O(n^3))

output

5.65/4.92 WORST_CASE(?, O(n^3)) 5.65/4.93 proof of /export/starexec/sandbox/output/output_files/bench.koat 5.65/4.93 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.65/4.93 5.65/4.93 5.65/4.93 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^3). 5.65/4.93 5.65/4.93 (0) CpxIntTrs 5.65/4.93 (1) Koat Proof [FINISHED, 3194 ms] 5.65/4.93 (2) BOUNDS(1, n^3) 5.65/4.93 5.65/4.93 5.65/4.93 ---------------------------------------- 5.65/4.93 5.65/4.93 (0) 5.65/4.93 Obligation: 5.65/4.93 Complexity Int TRS consisting of the following rules: 5.65/4.93 eval_hc_compute_start(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb0_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: TRUE 5.65/4.93 eval_hc_compute_bb0_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb1_in(v_3, v_9, v_num_values, v_j.0, v_num_values, v_x.0, v_y.0)) :|: TRUE 5.65/4.93 eval_hc_compute_bb1_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb2_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: v_i.0 > 0 5.65/4.93 eval_hc_compute_bb1_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb10_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: v_i.0 <= 0 5.65/4.93 eval_hc_compute_bb2_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb3_in(v_3, v_9, v_i.0, v_i.0 - 1, v_num_values, v_x.0, v_y.0)) :|: TRUE 5.65/4.93 eval_hc_compute_bb3_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb4_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: v_j.0 > 0 5.65/4.93 eval_hc_compute_bb3_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_.critedge_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: v_j.0 <= 0 5.65/4.93 eval_hc_compute_bb4_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_2(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: TRUE 5.65/4.93 eval_hc_compute_2(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_2(eval_random_start(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0), eval_hc_compute_3(nondef.0, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: TRUE 5.65/4.93 eval_hc_compute_3(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb5_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: v_3 < 0 5.65/4.93 eval_hc_compute_3(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb5_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: v_3 > 0 5.65/4.93 eval_hc_compute_3(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_.critedge_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: v_3 >= 0 && v_3 <= 0 5.65/4.93 eval_hc_compute_bb5_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb3_in(v_3, v_9, v_i.0, v_j.0 - 1, v_num_values, v_x.0, v_y.0)) :|: TRUE 5.65/4.93 eval_hc_compute_.critedge_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb6_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_i.0 - v_j.0, v_y.0)) :|: TRUE 5.65/4.93 eval_hc_compute_bb6_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb7_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_x.0)) :|: v_x.0 > 0 5.65/4.93 eval_hc_compute_bb6_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb1_in(v_3, v_9, v_j.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: v_x.0 <= 0 5.65/4.93 eval_hc_compute_bb7_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb8_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: v_y.0 > 0 5.65/4.93 eval_hc_compute_bb7_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_.critedge1_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: v_y.0 <= 0 5.65/4.93 eval_hc_compute_bb8_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_8(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: TRUE 5.65/4.93 eval_hc_compute_8(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_2(eval_random_start(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0), eval_hc_compute_9(v_3, nondef.1, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: TRUE 5.65/4.93 eval_hc_compute_9(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb9_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: v_9 < 0 5.65/4.93 eval_hc_compute_9(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb9_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: v_9 > 0 5.65/4.93 eval_hc_compute_9(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_.critedge1_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: v_9 >= 0 && v_9 <= 0 5.65/4.93 eval_hc_compute_bb9_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb7_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0 - 1)) :|: TRUE 5.65/4.93 eval_hc_compute_.critedge1_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_bb6_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0 - 1, v_y.0)) :|: TRUE 5.65/4.93 eval_hc_compute_bb10_in(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0) -> Com_1(eval_hc_compute_stop(v_3, v_9, v_i.0, v_j.0, v_num_values, v_x.0, v_y.0)) :|: TRUE 5.65/4.93 5.65/4.93 The start-symbols are:[eval_hc_compute_start_7] 5.65/4.93 5.65/4.93 5.65/4.93 ---------------------------------------- 5.65/4.93 5.65/4.93 (1) Koat Proof (FINISHED) 5.65/4.93 YES(?, 800*ar_1^2 + 180*ar_1 + 3360*ar_1^3 + 6) 5.65/4.93 5.65/4.93 5.65/4.93 5.65/4.93 Initial complexity problem: 5.65/4.93 5.65/4.93 1: T: 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputestart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputebb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputebb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= 1 ] 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputebb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputebb10in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_0 ] 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputebb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputebb3in(ar_0, ar_1, ar_0 - 1, ar_3, ar_4, ar_5, ar_6, ar_7)) 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= 1 ] 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputebb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputecritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_2 ] 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputebb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccompute2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccompute20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalrandomstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccompute21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccompute3(ar_0, ar_1, ar_2, ar_4, ar_4, ar_5, ar_6, ar_7)) 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccompute2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalhccompute20(ar_0, ar_1, ar_2, ar_3, i, ar_5, ar_6, ar_7), evalhccompute21(ar_0, ar_1, ar_2, ar_3, i, ar_5, ar_6, ar_7)) 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccompute3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_3 + 1 ] 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccompute3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 >= 1 ] 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccompute3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputecritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_3 = 0 ] 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputebb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputebb3in(ar_0, ar_1, ar_2 - 1, ar_3, ar_4, ar_5, ar_6, ar_7)) 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputecritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0 - ar_2, ar_6, ar_7)) 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_5, ar_7)) [ ar_5 >= 1 ] 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputebb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputebb1in(ar_2, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_5 ] 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_6 >= 1 ] 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputebb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccomputecritedge1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_6 ] 5.65/4.93 5.65/4.93 (Comp: ?, Cost: 1) evalhccomputebb8in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalhccompute8(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) 5.65/4.93 popout

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all output return to Complexity_C_Integer 2019-03-21 04.38