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Complexity_C_Integer 2019-03-21 04.38 pair #429989592
details
property
value
status
complete
benchmark
cBench_set_color_ht.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n121.star.cs.uiowa.edu
space
Sinn_2016
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
1.84873 seconds
cpu usage
2.84352
user time
2.64909
system time
0.194428
max virtual memory
1.8470132E7
max residence set size
184920.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^2))
output
2.76/1.80 WORST_CASE(?, O(n^2)) 2.76/1.81 proof of /export/starexec/sandbox/output/output_files/bench.koat 2.76/1.81 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.76/1.81 2.76/1.81 2.76/1.81 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2). 2.76/1.81 2.76/1.81 (0) CpxIntTrs 2.76/1.81 (1) Koat Proof [FINISHED, 580 ms] 2.76/1.81 (2) BOUNDS(1, n^2) 2.76/1.81 2.76/1.81 2.76/1.81 ---------------------------------------- 2.76/1.81 2.76/1.81 (0) 2.76/1.81 Obligation: 2.76/1.81 Complexity Int TRS consisting of the following rules: 2.76/1.81 eval_set_color_ht_extracted_start(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb0_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0)) :|: TRUE 2.76/1.81 eval_set_color_ht_extracted_bb0_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb1_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_h)) :|: TRUE 2.76/1.81 eval_set_color_ht_extracted_bb1_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb2_in(v_y.0 - 1, v_3, v_h, v_i.0, v_w, v_w, v_y.0)) :|: TRUE 2.76/1.81 eval_set_color_ht_extracted_bb2_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb3_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0)) :|: v_x.0 > 0 2.76/1.81 eval_set_color_ht_extracted_bb2_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb5_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0)) :|: v_x.0 <= 0 2.76/1.81 eval_set_color_ht_extracted_bb3_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb4_in(v_0, 0, v_h, v_x.0, v_w, v_x.0, v_y.0)) :|: v_x.0 < 8 2.76/1.81 eval_set_color_ht_extracted_bb3_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb4_in(v_0, v_x.0 - 8, v_h, 8, v_w, v_x.0, v_y.0)) :|: v_x.0 >= 8 2.76/1.81 eval_set_color_ht_extracted_bb4_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb4_in(v_0, v_3, v_h, v_i.0 - 1, v_w, v_x.0, v_y.0)) :|: v_i.0 - 1 >= 0 2.76/1.81 eval_set_color_ht_extracted_bb4_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb2_in(v_0, v_3, v_h, v_i.0, v_w, v_3, v_y.0)) :|: v_i.0 - 1 < 0 2.76/1.81 eval_set_color_ht_extracted_bb5_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb6_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0)) :|: v_0 <= 0 2.76/1.81 eval_set_color_ht_extracted_bb5_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_bb1_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_0)) :|: v_0 > 0 2.76/1.81 eval_set_color_ht_extracted_bb6_in(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0) -> Com_1(eval_set_color_ht_extracted_stop(v_0, v_3, v_h, v_i.0, v_w, v_x.0, v_y.0)) :|: TRUE 2.76/1.81 2.76/1.81 The start-symbols are:[eval_set_color_ht_extracted_start_7] 2.76/1.81 2.76/1.81 2.76/1.81 ---------------------------------------- 2.76/1.81 2.76/1.81 (1) Koat Proof (FINISHED) 2.76/1.81 YES(?, 3*ar_1 + 57*ar_1*ar_4 + 57*ar_4 + 8) 2.76/1.81 2.76/1.81 2.76/1.81 2.76/1.81 Initial complexity problem: 2.76/1.81 2.76/1.81 1: T: 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_0 - 1, ar_4, ar_4, ar_5, ar_6)) 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= 1 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_3 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, 0, ar_3)) [ 7 >= ar_3 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3 - 8, 8)) [ ar_3 >= 8 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - 1)) [ ar_6 >= 1 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_2, ar_5, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb1in(ar_2, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 1 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.81 2.76/1.81 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ] 2.76/1.81 2.76/1.81 start location: koat_start 2.76/1.81 2.76/1.81 leaf cost: 0 2.76/1.81 2.76/1.81 2.76/1.81 2.76/1.81 Repeatedly propagating knowledge in problem 1 produces the following problem: 2.76/1.81 2.76/1.81 2: T: 2.76/1.81 2.76/1.81 (Comp: 1, Cost: 1) evalsetcolorhtextractedstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.81 2.76/1.81 (Comp: 1, Cost: 1) evalsetcolorhtextractedbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb1in(ar_1, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_0 - 1, ar_4, ar_4, ar_5, ar_6)) 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_3 >= 1 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_3 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, 0, ar_3)) [ 7 >= ar_3 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_3 - 8, 8)) [ ar_3 >= 8 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6 - 1)) [ ar_6 >= 1 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb2in(ar_0, ar_1, ar_2, ar_5, ar_4, ar_5, ar_6)) [ 0 >= ar_6 ] 2.76/1.81 2.76/1.81 (Comp: ?, Cost: 1) evalsetcolorhtextractedbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalsetcolorhtextractedbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ] 2.76/1.81
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