0.98/0.99 MAYBE 0.98/0.99 0.98/0.99 Preprocessing Cost Relations 0.98/0.99 ===================================== 0.98/0.99 0.98/0.99 #### Computed strongly connected components 0.98/0.99 0. recursive : [eval_counterex1c_11/16,eval_counterex1c_12/16,eval_counterex1c_15/16,eval_counterex1c_16/16,eval_counterex1c_LeafBlock8_in/16,eval_counterex1c_LeafBlock_in/16,eval_counterex1c_NodeBlock_in/16,eval_counterex1c_bb1_in/16,eval_counterex1c_bb2_in/16,eval_counterex1c_bb3_in/16,eval_counterex1c_bb4_in/16] 0.98/0.99 1. non_recursive : [eval_counterex1c_stop/12] 0.98/0.99 2. non_recursive : [eval_counterex1c__critedge_in/12] 0.98/0.99 3. non_recursive : [eval_counterex1c_NewDefault_in/12] 0.98/0.99 4. non_recursive : [exit_location/1] 0.98/0.99 5. non_recursive : [eval_counterex1c_bb1_in_loop_cont/13] 0.98/0.99 6. non_recursive : [eval_counterex1c_9/12] 0.98/0.99 7. non_recursive : [eval_counterex1c_8/12] 0.98/0.99 8. non_recursive : [eval_counterex1c_7/12] 0.98/0.99 9. non_recursive : [eval_counterex1c_6/12] 0.98/0.99 10. non_recursive : [eval_counterex1c_5/12] 0.98/0.99 11. non_recursive : [eval_counterex1c_4/12] 0.98/0.99 12. non_recursive : [eval_counterex1c_3/12] 0.98/0.99 13. non_recursive : [eval_counterex1c_2/12] 0.98/0.99 14. non_recursive : [eval_counterex1c_1/12] 0.98/0.99 15. non_recursive : [eval_counterex1c_0/12] 0.98/0.99 16. non_recursive : [eval_counterex1c_bb0_in/12] 0.98/0.99 17. non_recursive : [eval_counterex1c_start/12] 0.98/0.99 0.98/0.99 #### Obtained direct recursion through partial evaluation 0.98/0.99 0. SCC is partially evaluated into eval_counterex1c_bb1_in/16 0.98/0.99 1. SCC is completely evaluated into other SCCs 0.98/0.99 2. SCC is completely evaluated into other SCCs 0.98/0.99 3. SCC is completely evaluated into other SCCs 0.98/0.99 4. SCC is completely evaluated into other SCCs 0.98/0.99 5. SCC is partially evaluated into eval_counterex1c_bb1_in_loop_cont/13 0.98/0.99 6. SCC is partially evaluated into eval_counterex1c_9/12 0.98/0.99 7. SCC is completely evaluated into other SCCs 0.98/0.99 8. SCC is completely evaluated into other SCCs 0.98/0.99 9. SCC is completely evaluated into other SCCs 0.98/0.99 10. SCC is completely evaluated into other SCCs 0.98/0.99 11. SCC is completely evaluated into other SCCs 0.98/0.99 12. SCC is completely evaluated into other SCCs 0.98/0.99 13. SCC is completely evaluated into other SCCs 0.98/0.99 14. SCC is completely evaluated into other SCCs 0.98/0.99 15. SCC is completely evaluated into other SCCs 0.98/0.99 16. SCC is completely evaluated into other SCCs 0.98/0.99 17. SCC is partially evaluated into eval_counterex1c_start/12 0.98/0.99 0.98/0.99 Control-Flow Refinement of Cost Relations 0.98/0.99 ===================================== 0.98/0.99 0.98/0.99 ### Specialization of cost equations eval_counterex1c_bb1_in/16 0.98/0.99 * CE 12 is refined into CE [16] 0.98/0.99 * CE 11 is refined into CE [17] 0.98/0.99 * CE 10 is refined into CE [18] 0.98/0.99 * CE 9 is refined into CE [19] 0.98/0.99 * CE 3 is refined into CE [20] 0.98/0.99 * CE 6 is refined into CE [21] 0.98/0.99 * CE 5 is refined into CE [22] 0.98/0.99 * CE 4 is refined into CE [23] 0.98/0.99 * CE 7 is refined into CE [24] 0.98/0.99 * CE 8 is refined into CE [25] 0.98/0.99 0.98/0.99 0.98/0.99 ### Cost equations --> "Loop" of eval_counterex1c_bb1_in/16 0.98/0.99 * CEs [22] --> Loop 16 0.98/0.99 * CEs [23] --> Loop 17 0.98/0.99 * CEs [24] --> Loop 18 0.98/0.99 * CEs [25] --> Loop 19 0.98/0.99 * CEs [16] --> Loop 20 0.98/0.99 * CEs [17] --> Loop 21 0.98/0.99 * CEs [18] --> Loop 22 0.98/0.99 * CEs [19] --> Loop 23 0.98/0.99 * CEs [20] --> Loop 24 0.98/0.99 * CEs [21] --> Loop 25 0.98/0.99 0.98/0.99 ### Ranking functions of CR eval_counterex1c_bb1_in(V__0,V__01,V__04,V_3,V_4,V_6,V_7,V_n,B,C,D,E,F,G,H,I) 0.98/0.99 0.98/0.99 #### Partial ranking functions of CR eval_counterex1c_bb1_in(V__0,V__01,V__04,V_3,V_4,V_6,V_7,V_n,B,C,D,E,F,G,H,I) 0.98/0.99 * Partial RF of phase [16,17,18,19]: 0.98/0.99 - RF of loop [16:1,17:1]: 0.98/0.99 V__04+1 depends on loops [18:1,19:1] 0.98/0.99 - RF of loop [17:1]: 0.98/0.99 V__0 depends on loops [18:1] 0.98/0.99 V__01+1 0.98/0.99 - RF of loop [18:1]: 0.98/0.99 -V__0+1 depends on loops [17:1] 0.98/0.99 - RF of loop [18:1,19:1]: 0.98/0.99 -V__04+V_n+1 depends on loops [16:1,17:1] 0.98/0.99 0.98/0.99 0.98/0.99 ### Specialization of cost equations eval_counterex1c_bb1_in_loop_cont/13 0.98/0.99 * CE 15 is refined into CE [26] 0.98/0.99 * CE 14 is refined into CE [27] 0.98/0.99 * CE 13 is refined into CE [28] 0.98/0.99 0.98/0.99 0.98/0.99 ### Cost equations --> "Loop" of eval_counterex1c_bb1_in_loop_cont/13 0.98/0.99 * CEs [26] --> Loop 26 0.98/0.99 * CEs [27] --> Loop 27 0.98/0.99 * CEs [28] --> Loop 28 0.98/0.99 0.98/0.99 ### Ranking functions of CR eval_counterex1c_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M) 0.98/0.99 0.98/0.99 #### Partial ranking functions of CR eval_counterex1c_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M) 0.98/0.99 0.98/0.99 0.98/0.99 ### Specialization of cost equations eval_counterex1c_9/12 0.98/0.99 * CE 2 is refined into CE [29,30,31,32,33,34,35,36,37,38,39,40,41] 0.98/0.99 0.98/0.99 0.98/0.99 ### Cost equations --> "Loop" of eval_counterex1c_9/12 0.98/0.99 * CEs [39,40,41] --> Loop 29 0.98/0.99 * CEs [34] --> Loop 30 0.98/0.99 * CEs [30] --> Loop 31 0.98/0.99 * CEs [33] --> Loop 32 0.98/0.99 * CEs [35] --> Loop 33 0.98/0.99 * CEs [29] --> Loop 34 0.98/0.99 * CEs [36] --> Loop 35 0.98/0.99 * CEs [31,32] --> Loop 36 0.98/0.99 * CEs [38] --> Loop 37 0.98/0.99 * CEs [37] --> Loop 38 0.98/0.99 0.98/0.99 ### Ranking functions of CR eval_counterex1c_9(V__0,V__01,V__04,V_3,V_4,V_6,V_7,V_b,V_n,V_x,V_y,B) 0.98/0.99 0.98/0.99 #### Partial ranking functions of CR eval_counterex1c_9(V__0,V__01,V__04,V_3,V_4,V_6,V_7,V_b,V_n,V_x,V_y,B) 0.98/0.99 0.98/0.99 0.98/0.99 ### Specialization of cost equations eval_counterex1c_start/12 0.98/0.99 * CE 1 is refined into CE [42,43,44,45,46,47,48,49,50,51] 0.98/0.99 0.98/0.99 0.98/0.99 ### Cost equations --> "Loop" of eval_counterex1c_start/12 0.98/0.99 * CEs [51] --> Loop 39 0.98/0.99 * CEs [50] --> Loop 40 0.98/0.99 * CEs [49] --> Loop 41 0.98/0.99 * CEs [48] --> Loop 42 0.98/0.99 * CEs [47] --> Loop 43 0.98/0.99 * CEs [46] --> Loop 44 0.98/0.99 * CEs [45] --> Loop 45 0.98/0.99 * CEs [44] --> Loop 46 0.98/0.99 * CEs [43] --> Loop 47 0.98/0.99 * CEs [42] --> Loop 48 0.98/0.99 0.98/0.99 ### Ranking functions of CR eval_counterex1c_start(V__0,V__01,V__04,V_3,V_4,V_6,V_7,V_b,V_n,V_x,V_y,B) 0.98/0.99 0.98/0.99 #### Partial ranking functions of CR eval_counterex1c_start(V__0,V__01,V__04,V_3,V_4,V_6,V_7,V_b,V_n,V_x,V_y,B) 0.98/0.99 0.98/0.99 0.98/0.99 Computing Bounds 0.98/0.99 ===================================== 0.98/0.99 0.98/0.99 #### Cost of chains of eval_counterex1c_bb1_in(V__0,V__01,V__04,V_3,V_4,V_6,V_7,V_n,B,C,D,E,F,G,H,I): 0.98/0.99 * Chain [[16,17,18,19]]...: 3*it(16)+1*it(17)+0 0.98/0.99 Such that:it(17) =< V__01+1 0.98/0.99 0.98/0.99 with precondition: [1>=V__0,V_n>=V__04,V__04>=0,V__01>=0,V__0>=0] 0.98/0.99 0.98/0.99 * Chain [[16,17,18,19],23]: 3*it(16)+1*it(17)+0 0.98/0.99 Such that:it(17) =< V__01+1 0.98/0.99 0.98/0.99 with precondition: [B=3,C=0,D+1=0,E=H,1>=V__0,V__0>=0,V__01>=0,V__04>=0,I>=1,V__0+V_n>=V__04+1] 0.98/0.99 0.98/0.99 * Chain [[16,17,18,19],22]: 3*it(16)+1*it(17)+0 0.98/0.99 Such that:it(17) =< V__01-D 0.98/0.99 0.98/0.99 with precondition: [B=3,E+1=0,H+1=0,1>=V__0,1>=C,V__0>=0,V__04>=0,C>=0,D+1>=C,V__0+V_n>=V__04+1,V__01+C>=D+1] 0.98/0.99 0.98/0.99 * Chain [[16,17,18,19],21]: 3*it(16)+1*it(17)+0 0.98/0.99 Such that:it(17) =< V__01-D 0.98/0.99 0.98/0.99 with precondition: [B=3,V_n+1=E,V_n+1=F,1>=V__0,1>=C,V__0>=0,C>=0,D>=0,V__04>=V__0,V_n>=V__04,V__01>=V__0+D] 0.98/0.99 0.98/0.99 * Chain [[16,17,18,19],20]: 3*it(16)+1*it(17)+0 0.98/0.99 Such that:it(17) =< V__01+1 0.98/0.99 0.98/0.99 with precondition: [B=4,1>=V__0,V__0>=0,V__01>=0,V__04>=0,V_n>=V__04] 0.98/0.99 0.98/0.99 * Chain [25]: 0 0.98/0.99 with precondition: [B=2,F=V_3,G=V_4,H=V_6,I=V_7,V__0=C,V__01=D,V__04=E,0>=V__0+1,V__01>=0,V__04>=0,V_n>=V__04] 0.98/0.99 0.98/0.99 * Chain [24]: 0 0.98/0.99 with precondition: [B=2,F=V_3,G=V_4,H=V_6,I=V_7,V__0=C,V__01=D,V__04=E,V__0>=2,V__01>=0,V__04>=0,V_n>=V__04] 0.98/0.99 0.98/0.99 * Chain [23]: 0 0.98/0.99 with precondition: [B=3,C=V__0,E=V__04,F=V_3,G=V_4,H=V_6,I=V_7,V__01=D,0>=V__01+1] 0.98/0.99 0.98/0.99 * Chain [22]: 0 0.98/0.99 with precondition: [B=3,C=V__0,D=V__01,F=V_3,G=V_4,H=V_6,I=V_7,V__04=E,0>=V__04+1] 0.98/0.99 0.98/0.99 * Chain [21]: 0 0.98/0.99 with precondition: [B=3,C=V__0,D=V__01,F=V_3,G=V_4,H=V_6,I=V_7,V__04=E,V__04>=V_n+1] 0.98/0.99 0.98/0.99 * Chain [20]: 0 0.98/0.99 with precondition: [B=4] 0.98/0.99 0.98/0.99 0.98/0.99 #### Cost of chains of eval_counterex1c_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M): 0.98/0.99 * Chain [28]: 0 0.98/0.99 with precondition: [A=2] 0.98/0.99 0.98/0.99 * Chain [27]: 0 0.98/0.99 with precondition: [A=3] 0.98/0.99 0.98/0.99 * Chain [26]: 0 0.98/0.99 with precondition: [A=4] 0.98/0.99 0.98/0.99 0.98/0.99 #### Cost of chains of eval_counterex1c_9(V__0,V__01,V__04,V_3,V_4,V_6,V_7,V_b,V_n,V_x,V_y,B): 0.98/0.99 * Chain [38]: 0 0.98/0.99 with precondition: [] 0.98/0.99 0.98/0.99 * Chain [37]: 1*s(1)+3*s(2)+0 0.98/0.99 Such that:s(1) =< V_x+1 0.98/0.99 0.98/0.99 with precondition: [1>=V_b,V_b>=0,V_x>=0,V_y>=0,V_n>=V_y] 0.98/0.99 0.98/0.99 * Chain [36]: 2*s(3)+6*s(4)+0 0.98/0.99 Such that:aux(17) =< V_x+1 0.98/0.99 s(3) =< aux(17) 0.98/0.99 0.98/0.99 with precondition: [1>=V_b,V_b>=0,V_x>=0,V_y>=0,V_b+V_n>=V_y+1] 0.98/0.99 0.98/0.99 * Chain [35]: 1*s(7)+3*s(8)+0 0.98/0.99 Such that:s(7) =< V_x 0.98/0.99 0.98/0.99 with precondition: [1>=V_b,V_b>=0,V_x>=V_b,V_y>=V_b,V_n>=V_y] 0.98/0.99 0.98/0.99 * Chain [34]: 0 0.98/0.99 with precondition: [0>=V_b+1,V_x>=0,V_y>=0,V_n>=V_y] 0.98/0.99 0.98/0.99 * Chain [33]: 0 0.98/0.99 with precondition: [0>=V_x+1] 0.98/0.99 0.98/0.99 * Chain [32]: 0 0.98/0.99 with precondition: [0>=V_y+1] 0.98/0.99 0.98/0.99 * Chain [31]: 0 0.98/0.99 with precondition: [V_b>=2,V_x>=0,V_y>=0,V_n>=V_y] 0.98/0.99 0.98/0.99 * Chain [30]: 0 0.98/0.99 with precondition: [V_y>=V_n+1] 0.98/0.99 0.98/0.99 * Chain [29]...: 3*s(9)+9*s(10)+0 0.98/0.99 Such that:aux(18) =< V_x+1 0.98/0.99 s(9) =< aux(18) 0.98/0.99 0.98/0.99 with precondition: [1>=V_b,V_b>=0,V_x>=0,V_y>=0,V_n>=V_y] 0.98/0.99 0.98/0.99 0.98/0.99 #### Cost of chains of eval_counterex1c_start(V__0,V__01,V__04,V_3,V_4,V_6,V_7,V_b,V_n,V_x,V_y,B): 0.98/0.99 * Chain [48]: 0 0.98/0.99 with precondition: [] 0.98/0.99 0.98/0.99 * Chain [47]: 1*s(15)+3*s(16)+0 0.98/0.99 Such that:s(15) =< V_x+1 0.98/0.99 0.98/0.99 with precondition: [1>=V_b,V_b>=0,V_x>=0,V_y>=0,V_n>=V_y] 0.98/0.99 0.98/0.99 * Chain [46]: 2*s(18)+6*s(19)+0 0.98/0.99 Such that:s(17) =< V_x+1 0.98/0.99 s(18) =< s(17) 0.98/0.99 0.98/0.99 with precondition: [1>=V_b,V_b>=0,V_x>=0,V_y>=0,V_b+V_n>=V_y+1] 0.98/0.99 0.98/0.99 * Chain [45]: 1*s(20)+3*s(21)+0 0.98/0.99 Such that:s(20) =< V_x 0.98/0.99 0.98/0.99 with precondition: [1>=V_b,V_b>=0,V_x>=V_b,V_y>=V_b,V_n>=V_y] 0.98/0.99 0.98/0.99 * Chain [44]: 0 0.98/0.99 with precondition: [0>=V_b+1,V_x>=0,V_y>=0,V_n>=V_y] 0.98/0.99 0.98/0.99 * Chain [43]: 0 0.98/0.99 with precondition: [0>=V_x+1] 0.98/0.99 0.98/0.99 * Chain [42]: 0 0.98/0.99 with precondition: [0>=V_y+1] 0.98/0.99 0.98/0.99 * Chain [41]: 0 0.98/0.99 with precondition: [V_b>=2,V_x>=0,V_y>=0,V_n>=V_y] 0.98/0.99 0.98/0.99 * Chain [40]: 0 0.98/0.99 with precondition: [V_y>=V_n+1] 0.98/0.99 0.98/0.99 * Chain [39]...: 3*s(23)+9*s(24)+0 0.98/0.99 Such that:s(22) =< V_x+1 0.98/0.99 s(23) =< s(22) 0.98/0.99 0.98/0.99 with precondition: [1>=V_b,V_b>=0,V_x>=0,V_y>=0,V_n>=V_y] 0.98/0.99 0.98/0.99 0.98/0.99 Closed-form bounds of eval_counterex1c_start(V__0,V__01,V__04,V_3,V_4,V_6,V_7,V_b,V_n,V_x,V_y,B): 0.98/0.99 ------------------------------------- 0.98/0.99 * Chain [48] with precondition: [] 0.98/0.99 - Upper bound: 0 0.98/0.99 - Complexity: constant 0.98/0.99 * Chain [47] with precondition: [1>=V_b,V_b>=0,V_x>=0,V_y>=0,V_n>=V_y] 0.98/0.99 - Upper bound: inf 0.98/0.99 - Complexity: infinity 0.98/0.99 * Chain [46] with precondition: [1>=V_b,V_b>=0,V_x>=0,V_y>=0,V_b+V_n>=V_y+1] 0.98/0.99 - Upper bound: inf 0.98/0.99 - Complexity: infinity 0.98/0.99 * Chain [45] with precondition: [1>=V_b,V_b>=0,V_x>=V_b,V_y>=V_b,V_n>=V_y] 0.98/0.99 - Upper bound: inf 0.98/0.99 - Complexity: infinity 0.98/0.99 * Chain [44] with precondition: [0>=V_b+1,V_x>=0,V_y>=0,V_n>=V_y] 0.98/0.99 - Upper bound: 0 0.98/0.99 - Complexity: constant 0.98/0.99 * Chain [43] with precondition: [0>=V_x+1] 0.98/0.99 - Upper bound: 0 0.98/0.99 - Complexity: constant 0.98/0.99 * Chain [42] with precondition: [0>=V_y+1] 0.98/0.99 - Upper bound: 0 0.98/0.99 - Complexity: constant 0.98/0.99 * Chain [41] with precondition: [V_b>=2,V_x>=0,V_y>=0,V_n>=V_y] 0.98/0.99 - Upper bound: 0 0.98/0.99 - Complexity: constant 0.98/0.99 * Chain [40] with precondition: [V_y>=V_n+1] 0.98/0.99 - Upper bound: 0 0.98/0.99 - Complexity: constant 0.98/0.99 * Chain [39]... with precondition: [1>=V_b,V_b>=0,V_x>=0,V_y>=0,V_n>=V_y] 0.98/0.99 - Upper bound: inf 0.98/0.99 - Complexity: infinity 0.98/0.99 0.98/0.99 ### Maximum cost of eval_counterex1c_start(V__0,V__01,V__04,V_3,V_4,V_6,V_7,V_b,V_n,V_x,V_y,B): inf 0.98/0.99 Asymptotic class: infinity 0.98/0.99 * Total analysis performed in 859 ms. 0.98/0.99 0.99/1.10 EOF