Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Compl C Integ Progr 85445 pair #381745637
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
n096.star.cs.uiowa.edu
space
Sinn_2016
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
4.20835900307 seconds
cpu usage
5.540075941
max memory
4.16813056E8
stage attributes
key
value
output-size
351453
starexec-result
WORST_CASE(?, O(n^3))
output
/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(n^3)) proof of /export/starexec/sandbox/output/output_files/bench.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^3). (0) CpxIntTrs (1) Koat Proof [FINISHED, 2907 ms] (2) BOUNDS(1, n^3) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 The start-symbols are:[eval_hc_compute_start_7] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 120*ar_1^2 + 1680*ar_1^3 + 140*ar_1 + 6) Initial complexity problem: 1: T: (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)) (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)) (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 ] (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 ] (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)) (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 ] (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 ] (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)) (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)) (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)) (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)) (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 ] (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 ] (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 ] (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)) (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)) (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 ] (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 ]
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Compl C Integ Progr 85445