4.48/4.48 WORST_CASE(?,O(n^2)) 4.48/4.48 4.48/4.48 Preprocessing Cost Relations 4.48/4.48 ===================================== 4.48/4.48 4.48/4.48 #### Computed strongly connected components 4.48/4.48 0. recursive : [eval_start_18/17,eval_start_19/17,eval_start_bb5_in/17,eval_start_bb6_in/17,eval_start_bb7_in/17,eval_start_bb8_in/17,eval_start_bb9_in/17] 4.48/4.48 1. recursive : [eval_start_15/24,eval_start_16/24,eval_start_bb3_in/24,eval_start_bb4_in/24,eval_start_bb5_in_loop_cont/25] 4.48/4.48 2. recursive : [eval_start_bb1_in/24,eval_start_bb2_in/24,eval_start_bb3_in_loop_cont/25] 4.48/4.48 3. non_recursive : [eval_start_stop/13] 4.48/4.48 4. non_recursive : [eval_start_bb10_in/13] 4.48/4.48 5. non_recursive : [exit_location/1] 4.48/4.48 6. non_recursive : [eval_start_bb1_in_loop_cont/14] 4.48/4.48 7. non_recursive : [eval_start_10/13] 4.48/4.48 8. non_recursive : [eval_start_9/13] 4.48/4.48 9. non_recursive : [eval_start_8/13] 4.48/4.48 10. non_recursive : [eval_start_7/13] 4.48/4.48 11. non_recursive : [eval_start_6/13] 4.48/4.48 12. non_recursive : [eval_start_5/13] 4.48/4.48 13. non_recursive : [eval_start_4/13] 4.48/4.48 14. non_recursive : [eval_start_3/13] 4.48/4.48 15. non_recursive : [eval_start_2/13] 4.48/4.48 16. non_recursive : [eval_start_1/13] 4.48/4.48 17. non_recursive : [eval_start_0/13] 4.48/4.48 18. non_recursive : [eval_start_bb0_in/13] 4.48/4.48 19. non_recursive : [eval_start_start/13] 4.48/4.48 4.48/4.48 #### Obtained direct recursion through partial evaluation 4.48/4.48 0. SCC is partially evaluated into eval_start_bb5_in/17 4.48/4.48 1. SCC is partially evaluated into eval_start_bb3_in/24 4.48/4.48 2. SCC is partially evaluated into eval_start_bb1_in/24 4.48/4.48 3. SCC is completely evaluated into other SCCs 4.48/4.48 4. SCC is completely evaluated into other SCCs 4.48/4.48 5. SCC is completely evaluated into other SCCs 4.48/4.48 6. SCC is partially evaluated into eval_start_bb1_in_loop_cont/14 4.48/4.48 7. SCC is partially evaluated into eval_start_10/13 4.48/4.48 8. SCC is completely evaluated into other SCCs 4.48/4.48 9. SCC is completely evaluated into other SCCs 4.48/4.48 10. SCC is completely evaluated into other SCCs 4.48/4.48 11. SCC is completely evaluated into other SCCs 4.48/4.48 12. SCC is completely evaluated into other SCCs 4.48/4.48 13. SCC is completely evaluated into other SCCs 4.48/4.48 14. SCC is completely evaluated into other SCCs 4.48/4.48 15. SCC is completely evaluated into other SCCs 4.48/4.48 16. SCC is completely evaluated into other SCCs 4.48/4.48 17. SCC is completely evaluated into other SCCs 4.48/4.48 18. SCC is completely evaluated into other SCCs 4.48/4.48 19. SCC is partially evaluated into eval_start_start/13 4.48/4.48 4.48/4.48 Control-Flow Refinement of Cost Relations 4.48/4.48 ===================================== 4.48/4.48 4.48/4.48 ### Specialization of cost equations eval_start_bb5_in/17 4.48/4.48 * CE 17 is refined into CE [18] 4.48/4.48 * CE 16 is refined into CE [19] 4.48/4.48 * CE 13 is refined into CE [20] 4.48/4.48 * CE 15 is refined into CE [21] 4.48/4.48 * CE 14 is refined into CE [22] 4.48/4.48 4.48/4.48 4.48/4.48 ### Cost equations --> "Loop" of eval_start_bb5_in/17 4.48/4.48 * CEs [20] --> Loop 18 4.48/4.48 * CEs [21] --> Loop 19 4.48/4.48 * CEs [22] --> Loop 20 4.48/4.48 * CEs [18] --> Loop 21 4.48/4.48 * CEs [19] --> Loop 22 4.48/4.48 4.48/4.48 ### Ranking functions of CR eval_start_bb5_in(V_8,V_a_1,V_a_2,V_a_3,V_b_1,V_b_2,V_b_3,V_i_0,B,C,D,E,F,G,H,I,J) 4.48/4.48 * RF of phase [18,20]: [V_i_0] 4.48/4.48 * RF of phase [19]: [V_i_0] 4.48/4.48 4.48/4.48 #### Partial ranking functions of CR eval_start_bb5_in(V_8,V_a_1,V_a_2,V_a_3,V_b_1,V_b_2,V_b_3,V_i_0,B,C,D,E,F,G,H,I,J) 4.48/4.48 * Partial RF of phase [18,20]: 4.48/4.48 - RF of loop [18:1,20:1]: 4.48/4.48 V_i_0 4.48/4.48 - RF of loop [20:1]: 4.48/4.48 V_a_1+V_b_1-V_b_2-1 4.48/4.48 V_a_2 4.48/4.48 * Partial RF of phase [19]: 4.48/4.48 - RF of loop [19:1]: 4.48/4.48 V_i_0 4.48/4.48 4.48/4.48 4.48/4.48 ### Specialization of cost equations eval_start_bb3_in/24 4.48/4.48 * CE 11 is refined into CE [23] 4.48/4.48 * CE 9 is refined into CE [24,25,26,27] 4.48/4.48 * CE 12 is refined into CE [28] 4.48/4.48 * CE 10 is refined into CE [29,30,31,32] 4.48/4.48 4.48/4.48 4.48/4.48 ### Cost equations --> "Loop" of eval_start_bb3_in/24 4.48/4.48 * CEs [32] --> Loop 23 4.48/4.48 * CEs [31] --> Loop 24 4.48/4.48 * CEs [30] --> Loop 25 4.48/4.48 * CEs [29] --> Loop 26 4.48/4.48 * CEs [23] --> Loop 27 4.48/4.48 * CEs [25] --> Loop 28 4.48/4.48 * CEs [27] --> Loop 29 4.48/4.48 * CEs [26] --> Loop 30 4.48/4.48 * CEs [28] --> Loop 31 4.48/4.48 * CEs [24] --> Loop 32 4.48/4.48 4.48/4.48 ### Ranking functions of CR eval_start_bb3_in(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B,C,D,E,F,G,H,I,J,K,L,M) 4.48/4.48 * RF of phase [23]: [V_b_1] 4.48/4.48 * RF of phase [24]: [V_a_1+V_b_1-1] 4.48/4.48 * RF of phase [25]: [V_b_1] 4.48/4.48 4.48/4.48 #### Partial ranking functions of CR eval_start_bb3_in(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B,C,D,E,F,G,H,I,J,K,L,M) 4.48/4.48 * Partial RF of phase [23]: 4.48/4.48 - RF of loop [23:1]: 4.48/4.48 V_b_1 4.48/4.48 * Partial RF of phase [24]: 4.48/4.48 - RF of loop [24:1]: 4.48/4.48 V_a_1+V_b_1-1 4.48/4.48 * Partial RF of phase [25]: 4.48/4.48 - RF of loop [25:1]: 4.48/4.48 V_b_1 4.48/4.48 4.48/4.48 4.48/4.48 ### Specialization of cost equations eval_start_bb1_in/24 4.48/4.48 * CE 5 is refined into CE [33] 4.48/4.48 * CE 3 is refined into CE [34,35,36,37,38,39,40,41,42,43,44,45,46] 4.48/4.48 * CE 6 is refined into CE [47] 4.48/4.48 * CE 4 is refined into CE [48,49,50,51,52,53,54] 4.48/4.48 4.48/4.48 4.48/4.48 ### Cost equations --> "Loop" of eval_start_bb1_in/24 4.48/4.48 * CEs [54] --> Loop 33 4.48/4.48 * CEs [53] --> Loop 34 4.48/4.48 * CEs [52] --> Loop 35 4.48/4.48 * CEs [51] --> Loop 36 4.48/4.48 * CEs [50] --> Loop 37 4.48/4.48 * CEs [49] --> Loop 38 4.48/4.48 * CEs [48] --> Loop 39 4.48/4.48 * CEs [33] --> Loop 40 4.48/4.48 * CEs [45] --> Loop 41 4.48/4.48 * CEs [46] --> Loop 42 4.48/4.48 * CEs [44] --> Loop 43 4.48/4.48 * CEs [43] --> Loop 44 4.48/4.48 * CEs [40] --> Loop 45 4.48/4.48 * CEs [41] --> Loop 46 4.48/4.48 * CEs [42] --> Loop 47 4.48/4.48 * CEs [38] --> Loop 48 4.48/4.48 * CEs [39] --> Loop 49 4.48/4.48 * CEs [37] --> Loop 50 4.48/4.48 * CEs [36] --> Loop 51 4.48/4.48 * CEs [47] --> Loop 52 4.48/4.48 * CEs [35] --> Loop 53 4.48/4.48 * CEs [34] --> Loop 54 4.48/4.48 4.48/4.48 ### Ranking functions of CR eval_start_bb1_in(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B,C,D,E,F,G,H,I,J,K,L,M) 4.48/4.48 * RF of phase [34]: [V_a_0] 4.48/4.48 * RF of phase [35]: [V_a_0-1] 4.48/4.48 4.48/4.48 #### Partial ranking functions of CR eval_start_bb1_in(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B,C,D,E,F,G,H,I,J,K,L,M) 4.48/4.48 * Partial RF of phase [34]: 4.48/4.48 - RF of loop [34:1]: 4.48/4.48 V_a_0 4.48/4.48 * Partial RF of phase [35]: 4.48/4.48 - RF of loop [35:1]: 4.48/4.48 V_a_0-1 4.48/4.48 4.48/4.48 4.48/4.48 ### Specialization of cost equations eval_start_bb1_in_loop_cont/14 4.48/4.48 * CE 7 is refined into CE [55] 4.48/4.48 * CE 8 is refined into CE [56] 4.48/4.48 4.48/4.48 4.48/4.48 ### Cost equations --> "Loop" of eval_start_bb1_in_loop_cont/14 4.48/4.48 * CEs [55] --> Loop 55 4.48/4.48 * CEs [56] --> Loop 56 4.48/4.48 4.48/4.48 ### Ranking functions of CR eval_start_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N) 4.48/4.48 4.48/4.48 #### Partial ranking functions of CR eval_start_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N) 4.48/4.48 4.48/4.48 4.48/4.48 ### Specialization of cost equations eval_start_10/13 4.48/4.48 * CE 2 is refined into CE [57,58,59,60,61,62,63,64,65,66,67,68,69] 4.48/4.48 4.48/4.48 4.48/4.48 ### Cost equations --> "Loop" of eval_start_10/13 4.48/4.48 * CEs [63] --> Loop 57 4.48/4.48 * CEs [62,68] --> Loop 58 4.48/4.48 * CEs [61,66,67] --> Loop 59 4.48/4.48 * CEs [60,65] --> Loop 60 4.48/4.48 * CEs [59] --> Loop 61 4.48/4.48 * CEs [69] --> Loop 62 4.48/4.48 * CEs [57,58] --> Loop 63 4.48/4.48 * CEs [64] --> Loop 64 4.48/4.48 4.48/4.48 ### Ranking functions of CR eval_start_10(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B) 4.48/4.48 4.48/4.48 #### Partial ranking functions of CR eval_start_10(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B) 4.48/4.48 4.48/4.48 4.48/4.48 ### Specialization of cost equations eval_start_start/13 4.48/4.48 * CE 1 is refined into CE [70,71,72,73,74,75,76,77] 4.48/4.48 4.48/4.48 4.48/4.48 ### Cost equations --> "Loop" of eval_start_start/13 4.48/4.48 * CEs [77] --> Loop 65 4.48/4.48 * CEs [76] --> Loop 66 4.48/4.48 * CEs [75] --> Loop 67 4.48/4.48 * CEs [74] --> Loop 68 4.48/4.48 * CEs [73] --> Loop 69 4.48/4.48 * CEs [72] --> Loop 70 4.48/4.48 * CEs [71] --> Loop 71 4.48/4.48 * CEs [70] --> Loop 72 4.48/4.48 4.48/4.48 ### Ranking functions of CR eval_start_start(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B) 4.48/4.48 4.48/4.48 #### Partial ranking functions of CR eval_start_start(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B) 4.48/4.48 4.48/4.48 4.48/4.48 Computing Bounds 4.48/4.48 ===================================== 4.48/4.48 4.48/4.48 #### Cost of chains of eval_start_bb5_in(V_8,V_a_1,V_a_2,V_a_3,V_b_1,V_b_2,V_b_3,V_i_0,B,C,D,E,F,G,H,I,J): 4.48/4.48 * Chain [[19],22]: 1*it(19)+0 4.48/4.48 Such that:it(19) =< V_i_0 4.48/4.48 4.48/4.48 with precondition: [B=2,J=0,V_8=C,V_a_2=D,V_a_2=E,V_a_2=F,V_a_2+V_b_2+1=V_a_1+V_b_1,V_a_2+G+1=V_a_1+V_b_1,V_a_2+H+1=V_a_1+V_b_1,V_a_2+I+1=V_a_1+V_b_1,0>=V_a_2,V_b_1>=1,V_i_0>=1,V_a_1>=V_a_2] 4.48/4.48 4.48/4.48 * Chain [[19],21]: 1*it(19)+0 4.48/4.48 Such that:it(19) =< V_i_0 4.48/4.48 4.48/4.48 with precondition: [B=3,V_a_2+V_b_2+1=V_a_1+V_b_1,0>=V_a_2,V_b_1>=1,V_i_0>=1,V_a_1>=V_a_2] 4.48/4.48 4.48/4.48 * Chain [[18,20],[19],22]: 1*it(18)+1*it(19)+1*it(20)+0 4.48/4.48 Such that:it(19) =< -V_a_2+V_i_0 4.48/4.48 it(20) =< V_a_2 4.48/4.48 aux(3) =< V_i_0 4.48/4.48 it(19) =< aux(3) 4.48/4.48 it(18) =< aux(3) 4.48/4.48 it(20) =< aux(3) 4.48/4.48 4.48/4.48 with precondition: [B=2,D=0,E=0,F=0,J=0,V_a_1+V_b_1=G+1,V_a_1+V_b_1=H+1,V_a_1+V_b_1=I+1,V_a_1+V_b_1=V_a_2+V_b_2+1,V_b_1>=1,C>=1,V_b_2+1>=V_b_1,V_a_1+V_b_1>=V_b_2+2,V_b_2+V_i_0>=V_a_1+V_b_1] 4.48/4.48 4.48/4.48 * Chain [[18,20],[19],21]: 1*it(18)+1*it(19)+1*it(20)+0 4.48/4.48 Such that:it(19) =< -V_a_1-V_b_1+V_b_2+V_i_0+1 4.48/4.48 it(20) =< V_a_1+V_b_1-V_b_2 4.48/4.48 aux(4) =< V_i_0 4.48/4.48 it(19) =< aux(4) 4.48/4.48 it(18) =< aux(4) 4.48/4.48 it(20) =< aux(4) 4.48/4.48 4.48/4.48 with precondition: [B=3,V_a_1+V_b_1=V_a_2+V_b_2+1,V_b_1>=1,V_b_2+1>=V_b_1,V_a_1+V_b_1>=V_b_2+2,V_b_2+V_i_0>=V_a_1+V_b_1] 4.48/4.48 4.48/4.48 * Chain [[18,20],22]: 1*it(18)+1*it(20)+0 4.48/4.48 Such that:it(20) =< -V_b_2+G 4.48/4.48 aux(5) =< V_i_0 4.48/4.48 it(18) =< aux(5) 4.48/4.48 it(20) =< aux(5) 4.48/4.48 4.48/4.48 with precondition: [B=2,J=0,D=E,D=F,V_a_1+V_b_1=V_a_2+V_b_2+1,V_a_1+V_b_1=D+G+1,V_a_1+V_b_1=D+H+1,V_a_1+V_b_1=D+I+1,V_b_1>=1,V_i_0>=1,D>=0,V_b_2+1>=V_b_1,V_a_1+V_b_1>=V_b_2+2,V_a_1+V_b_1>=V_b_2+D+1,V_b_2+V_i_0+D+1>=V_a_1+V_b_1] 4.48/4.48 4.48/4.48 * Chain [[18,20],21]: 1*it(18)+1*it(20)+0 4.48/4.48 Such that:it(20) =< V_a_2 4.48/4.48 aux(6) =< V_i_0 4.48/4.48 it(20) =< aux(6) 4.48/4.48 it(18) =< aux(6) 4.48/4.48 4.48/4.48 with precondition: [B=3,V_a_1+V_b_1=V_a_2+V_b_2+1,V_b_1>=1,V_i_0>=1,V_b_2+1>=V_b_1,V_a_1+V_b_1>=V_b_2+2] 4.48/4.48 4.48/4.48 * Chain [22]: 0 4.48/4.48 with precondition: [B=2,C=V_8,F=V_a_3,I=V_b_3,V_a_2=D,V_a_2=E,V_b_2=G,V_b_2=H,V_i_0=J,V_a_2+V_b_2+1=V_a_1+V_b_1,0>=V_i_0,V_a_1>=V_a_2,V_a_2+V_b_2>=V_a_1] 4.48/4.48 4.48/4.48 * Chain [21]: 0 4.48/4.48 with precondition: [B=3,V_a_2+V_b_2+1=V_a_1+V_b_1,V_a_1>=V_a_2,V_a_2+V_b_2>=V_a_1] 4.48/4.48 4.48/4.48 4.48/4.48 #### Cost of chains of eval_start_bb3_in(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B,C,D,E,F,G,H,I,J,K,L,M): 4.48/4.48 * Chain [[25],32]: 1*it(25)+1*s(1)+1*s(4)+0 4.48/4.48 Such that:it(25) =< V_b_1 4.48/4.48 aux(8) =< V_n 4.48/4.48 s(1) =< aux(8) 4.48/4.48 s(4) =< it(25)*aux(8) 4.48/4.48 4.48/4.48 with precondition: [V_a_1=0,B=3,V_a_0>=1,V_b_1>=2,V_n>=2,V_a_0+V_b_0>=V_b_1] 4.48/4.48 4.48/4.48 * Chain [[25],31]: 1*it(25)+1*s(4)+0 4.48/4.48 Such that:it(25) =< V_b_1 4.48/4.48 aux(7) =< V_n 4.48/4.48 s(4) =< it(25)*aux(7) 4.48/4.48 4.48/4.48 with precondition: [V_a_1=0,B=3,V_a_0>=1,V_b_1>=1,V_n>=2,V_a_0+V_b_0>=V_b_1] 4.48/4.48 4.48/4.48 * Chain [[25],28]: 1*it(25)+1*s(4)+0 4.48/4.48 Such that:it(25) =< V_b_1 4.48/4.48 aux(7) =< V_n 4.48/4.48 s(4) =< it(25)*aux(7) 4.48/4.48 4.48/4.48 with precondition: [V_a_1=0,B=3,V_a_0>=1,V_b_1>=2,V_n>=2,V_a_0+V_b_0>=V_b_1] 4.48/4.48 4.48/4.48 * Chain [[25],27]: 1*it(25)+1*s(4)+0 4.48/4.48 Such that:it(25) =< V_b_1 4.48/4.48 aux(7) =< V_n 4.48/4.48 s(4) =< it(25)*aux(7) 4.48/4.48 4.48/4.48 with precondition: [V_a_1=0,B=4,C=0,E=0,F=0,G=0,H=0,I=0,J=0,K=0,L=0,M=0,V_8=D,V_a_0>=1,V_b_1>=1,V_n>=2,V_a_0+V_b_0>=V_b_1] 4.48/4.48 4.48/4.48 * Chain [[24],[25],32]: 2*it(24)+1*s(1)+1*s(4)+1*s(11)+1*s(12)+0 4.48/4.48 Such that:s(11) =< V_a_1 4.48/4.48 aux(10) =< V_a_1+V_b_1 4.48/4.48 aux(11) =< V_n 4.48/4.48 it(24) =< aux(10) 4.48/4.48 s(1) =< aux(11) 4.48/4.48 s(4) =< it(24)*aux(11) 4.48/4.48 s(13) =< it(24)*aux(11) 4.48/4.48 s(12) =< s(13) 4.48/4.48 s(11) =< s(13) 4.48/4.48 4.48/4.48 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=2,V_a_0>=V_a_1+1,V_a_1+V_b_1>=3,V_a_1+2*V_n+3*V_b_1>=11,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.48 4.48/4.48 * Chain [[24],[25],31]: 2*it(24)+1*s(4)+1*s(11)+1*s(12)+0 4.48/4.48 Such that:s(11) =< V_a_1 4.48/4.48 aux(12) =< V_a_1+V_b_1 4.48/4.48 aux(13) =< V_n 4.48/4.48 it(24) =< aux(12) 4.48/4.48 s(4) =< it(24)*aux(13) 4.48/4.48 s(13) =< it(24)*aux(13) 4.48/4.48 s(12) =< s(13) 4.48/4.48 s(11) =< s(13) 4.48/4.48 4.48/4.48 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=2,V_a_0>=V_a_1+1,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.48 4.48/4.48 * Chain [[24],[25],28]: 2*it(24)+1*s(4)+1*s(11)+1*s(12)+0 4.48/4.48 Such that:s(11) =< V_a_1 4.48/4.48 aux(14) =< V_a_1+V_b_1 4.48/4.48 aux(15) =< V_n 4.48/4.48 it(24) =< aux(14) 4.48/4.48 s(4) =< it(24)*aux(15) 4.48/4.48 s(13) =< it(24)*aux(15) 4.48/4.48 s(12) =< s(13) 4.48/4.48 s(11) =< s(13) 4.48/4.48 4.48/4.48 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=2,V_a_0>=V_a_1+1,V_a_1+V_b_1>=3,V_a_1+2*V_n+3*V_b_1>=11,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.48 4.48/4.48 * Chain [[24],[25],27]: 2*it(24)+1*s(4)+1*s(11)+1*s(12)+0 4.48/4.48 Such that:s(11) =< V_a_1 4.48/4.48 aux(16) =< V_a_1+V_b_1 4.48/4.48 aux(17) =< V_n 4.48/4.48 it(24) =< aux(16) 4.48/4.48 s(4) =< it(24)*aux(17) 4.48/4.48 s(13) =< it(24)*aux(17) 4.48/4.48 s(12) =< s(13) 4.48/4.48 s(11) =< s(13) 4.48/4.48 4.48/4.48 with precondition: [B=4,C=0,E=0,F=0,G=0,H=0,I=0,J=0,K=0,L=0,M=0,V_a_1>=1,V_b_1>=1,V_n>=2,V_a_0>=V_a_1+1,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.48 4.48/4.48 * Chain [[24],32]: 1*it(24)+1*s(1)+1*s(11)+1*s(12)+0 4.48/4.48 Such that:s(11) =< V_a_1 4.48/4.48 it(24) =< V_a_1+V_b_1 4.48/4.48 aux(18) =< V_n 4.48/4.48 s(1) =< aux(18) 4.48/4.48 s(13) =< it(24)*aux(18) 4.48/4.48 s(12) =< s(13) 4.48/4.48 s(11) =< s(13) 4.48/4.48 4.48/4.48 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=2,V_a_0>=V_a_1+1,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.48 4.48/4.48 * Chain [[24],31]: 1*it(24)+1*s(11)+1*s(12)+0 4.48/4.48 Such that:s(11) =< V_a_1 4.48/4.49 it(24) =< V_a_1+V_b_1 4.48/4.49 aux(9) =< V_n 4.48/4.49 s(13) =< it(24)*aux(9) 4.48/4.49 s(12) =< s(13) 4.48/4.49 s(11) =< s(13) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=2,V_a_0>=V_a_1+1,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [[24],30]: 1*it(24)+1*s(11)+1*s(12)+1*s(14)+1*s(16)+0 4.48/4.49 Such that:aux(19) =< V_a_1 4.48/4.49 aux(20) =< V_a_1+V_b_1 4.48/4.49 aux(21) =< V_n 4.48/4.49 s(11) =< aux(19) 4.48/4.49 s(14) =< aux(19) 4.48/4.49 it(24) =< aux(20) 4.48/4.49 s(14) =< aux(20) 4.48/4.49 s(14) =< aux(21) 4.48/4.49 s(16) =< aux(21) 4.48/4.49 s(13) =< it(24)*aux(21) 4.48/4.49 s(12) =< s(13) 4.48/4.49 s(11) =< s(13) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=2,V_a_0>=V_a_1+1,V_a_1+V_b_1>=3,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [[24],29]: 1*it(24)+1*s(11)+1*s(12)+1*s(17)+1*s(18)+1*s(20)+0 4.48/4.49 Such that:s(11) =< V_a_1 4.48/4.49 it(24) =< V_a_1+V_b_1 4.48/4.49 aux(22) =< V_a_1+1 4.48/4.49 aux(23) =< V_n 4.48/4.49 aux(24) =< V_n+1 4.48/4.49 s(11) =< aux(22) 4.48/4.49 s(18) =< aux(22) 4.48/4.49 s(17) =< aux(23) 4.48/4.49 s(17) =< aux(24) 4.48/4.49 s(18) =< aux(24) 4.48/4.49 s(20) =< aux(23) 4.48/4.49 s(18) =< aux(23) 4.48/4.49 s(13) =< it(24)*aux(23) 4.48/4.49 s(12) =< s(13) 4.48/4.49 s(11) =< s(13) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=3,V_a_0>=V_a_1+1,V_a_1+V_b_1>=3,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [[24],28]: 1*it(24)+1*s(11)+1*s(12)+0 4.48/4.49 Such that:s(11) =< V_a_1 4.48/4.49 it(24) =< V_a_1+V_b_1 4.48/4.49 aux(9) =< V_n 4.48/4.49 s(13) =< it(24)*aux(9) 4.48/4.49 s(12) =< s(13) 4.48/4.49 s(11) =< s(13) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=2,V_a_0>=V_a_1+1,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [[24],27]: 1*it(24)+1*s(11)+1*s(12)+0 4.48/4.49 Such that:it(24) =< V_a_1+V_b_1-E 4.48/4.49 s(11) =< V_a_1-E 4.48/4.49 aux(9) =< V_n 4.48/4.49 s(13) =< it(24)*aux(9) 4.48/4.49 s(12) =< s(13) 4.48/4.49 s(11) =< s(13) 4.48/4.49 4.48/4.49 with precondition: [B=4,C=0,I=0,J=0,K=0,L=0,M=0,E=F,E=G,E=H,V_b_1>=1,V_n>=2,E>=1,V_a_0>=V_a_1+1,V_a_1>=E,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [[24],26,[25],32]: 2*it(24)+3*s(1)+1*s(4)+1*s(11)+1*s(12)+1*s(22)+1 4.48/4.49 Such that:aux(26) =< V_a_1 4.48/4.49 aux(27) =< V_a_1+V_b_1 4.48/4.49 aux(28) =< V_n 4.48/4.49 s(11) =< aux(26) 4.48/4.49 s(22) =< aux(26) 4.48/4.49 it(24) =< aux(27) 4.48/4.49 s(1) =< aux(28) 4.48/4.49 s(22) =< aux(28) 4.48/4.49 s(4) =< it(24)*aux(28) 4.48/4.49 s(13) =< it(24)*aux(28) 4.48/4.49 s(12) =< s(13) 4.48/4.49 s(11) =< s(13) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=3,V_a_0>=V_a_1+1,V_a_1+V_b_1>=4,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [[24],26,[25],31]: 2*it(24)+1*s(4)+1*s(11)+1*s(12)+2*s(21)+1*s(22)+1 4.48/4.49 Such that:aux(30) =< V_a_1 4.48/4.49 aux(31) =< V_a_1+V_b_1 4.48/4.49 aux(32) =< V_n 4.48/4.49 s(11) =< aux(30) 4.48/4.49 s(22) =< aux(30) 4.48/4.49 it(24) =< aux(31) 4.48/4.49 s(21) =< aux(32) 4.48/4.49 s(22) =< aux(32) 4.48/4.49 s(4) =< it(24)*aux(32) 4.48/4.49 s(13) =< it(24)*aux(32) 4.48/4.49 s(12) =< s(13) 4.48/4.49 s(11) =< s(13) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=3,V_a_0>=V_a_1+1,V_a_1+V_b_1>=3,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [[24],26,[25],28]: 2*it(24)+1*s(4)+1*s(11)+1*s(12)+2*s(21)+1*s(22)+1 4.48/4.49 Such that:aux(34) =< V_a_1 4.48/4.49 aux(35) =< V_a_1+V_b_1 4.48/4.49 aux(36) =< V_n 4.48/4.49 s(11) =< aux(34) 4.48/4.49 s(22) =< aux(34) 4.48/4.49 it(24) =< aux(35) 4.48/4.49 s(21) =< aux(36) 4.48/4.49 s(22) =< aux(36) 4.48/4.49 s(4) =< it(24)*aux(36) 4.48/4.49 s(13) =< it(24)*aux(36) 4.48/4.49 s(12) =< s(13) 4.48/4.49 s(11) =< s(13) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=3,V_a_0>=V_a_1+1,V_a_1+V_b_1>=4,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [[24],26,[25],27]: 2*it(24)+1*s(4)+1*s(11)+1*s(12)+2*s(21)+1*s(22)+1 4.48/4.49 Such that:aux(38) =< V_a_1 4.48/4.49 aux(39) =< V_a_1+V_b_1 4.48/4.49 aux(40) =< V_n 4.48/4.49 s(11) =< aux(38) 4.48/4.49 s(22) =< aux(38) 4.48/4.49 it(24) =< aux(39) 4.48/4.49 s(21) =< aux(40) 4.48/4.49 s(22) =< aux(40) 4.48/4.49 s(4) =< it(24)*aux(40) 4.48/4.49 s(13) =< it(24)*aux(40) 4.48/4.49 s(12) =< s(13) 4.48/4.49 s(11) =< s(13) 4.48/4.49 4.48/4.49 with precondition: [B=4,C=0,E=0,F=0,G=0,H=0,I=0,J=0,K=0,L=0,M=0,V_a_1>=1,V_b_1>=1,V_n>=3,D>=1,V_a_0>=V_a_1+1,V_a_1+V_b_1>=3,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [[24],26,32]: 1*it(24)+3*s(1)+1*s(11)+1*s(12)+1*s(22)+1 4.48/4.49 Such that:it(24) =< V_a_1+V_b_1 4.48/4.49 aux(42) =< V_a_1 4.48/4.49 aux(43) =< V_n 4.48/4.49 s(11) =< aux(42) 4.48/4.49 s(22) =< aux(42) 4.48/4.49 s(1) =< aux(43) 4.48/4.49 s(22) =< aux(43) 4.48/4.49 s(13) =< it(24)*aux(43) 4.48/4.49 s(12) =< s(13) 4.48/4.49 s(11) =< s(13) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=3,V_a_0>=V_a_1+1,V_a_1+V_b_1>=3,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [[24],26,31]: 1*it(24)+1*s(11)+1*s(12)+2*s(21)+1*s(22)+1 4.48/4.49 Such that:it(24) =< V_a_1+V_b_1 4.48/4.49 aux(44) =< V_a_1 4.48/4.49 aux(45) =< V_n 4.48/4.49 s(11) =< aux(44) 4.48/4.49 s(22) =< aux(44) 4.48/4.49 s(21) =< aux(45) 4.48/4.49 s(22) =< aux(45) 4.48/4.49 s(13) =< it(24)*aux(45) 4.48/4.49 s(12) =< s(13) 4.48/4.49 s(11) =< s(13) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=3,V_a_0>=V_a_1+1,V_a_1+V_b_1>=3,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [[24],26,28]: 1*it(24)+1*s(11)+1*s(12)+2*s(21)+1*s(22)+1 4.48/4.49 Such that:it(24) =< V_a_1+V_b_1 4.48/4.49 aux(46) =< V_a_1 4.48/4.49 aux(47) =< V_n 4.48/4.49 s(11) =< aux(46) 4.48/4.49 s(22) =< aux(46) 4.48/4.49 s(21) =< aux(47) 4.48/4.49 s(22) =< aux(47) 4.48/4.49 s(13) =< it(24)*aux(47) 4.48/4.49 s(12) =< s(13) 4.48/4.49 s(11) =< s(13) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=3,V_a_0>=V_a_1+1,V_a_1+V_b_1>=3,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [[23],31]: 1*it(23)+0 4.48/4.49 Such that:it(23) =< V_b_1 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_0=V_a_1+1,1>=V_n,V_a_0>=1,V_b_1>=1,V_b_0+1>=V_b_1] 4.48/4.49 4.48/4.49 * Chain [[23],28]: 1*it(23)+0 4.48/4.49 Such that:it(23) =< V_b_1 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_0=V_a_1+1,1>=V_n,V_a_0>=1,V_b_1>=2,V_b_0+1>=V_b_1] 4.48/4.49 4.48/4.49 * Chain [[23],27]: 1*it(23)+0 4.48/4.49 Such that:it(23) =< V_b_1 4.48/4.49 4.48/4.49 with precondition: [B=4,C=0,I=0,J=0,K=0,V_a_0=V_a_1+1,V_8=D,V_a_0=E+1,V_a_0=F+1,V_a_0=G+1,V_a_3=H,V_b_3=L,V_n=M+1,1>=V_n,V_a_0>=1,V_b_1>=1,V_b_0+1>=V_b_1] 4.48/4.49 4.48/4.49 * Chain [32]: 1*s(1)+0 4.48/4.49 Such that:s(1) =< V_n 4.48/4.49 4.48/4.49 with precondition: [V_a_1=0,B=3,V_a_0>=1,V_b_1>=1,V_n>=2,V_a_0+V_b_0>=V_b_1] 4.48/4.49 4.48/4.49 * Chain [31]: 0 4.48/4.49 with precondition: [B=3,V_a_0>=1,V_a_1>=0,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [30]: 1*s(14)+1*s(16)+0 4.48/4.49 Such that:s(14) =< V_a_1 4.48/4.49 s(15) =< V_n 4.48/4.49 s(14) =< s(15) 4.48/4.49 s(16) =< s(15) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_n>=2,V_a_0>=V_a_1+1,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [29]: 1*s(17)+1*s(18)+1*s(20)+0 4.48/4.49 Such that:s(17) =< -V_a_1+V_n 4.48/4.49 s(18) =< V_a_1+1 4.48/4.49 s(19) =< V_n 4.48/4.49 s(17) =< s(19) 4.48/4.49 s(20) =< s(19) 4.48/4.49 s(18) =< s(19) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_a_0>=V_a_1+1,V_n>=V_a_1+2,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [28]: 0 4.48/4.49 with precondition: [B=3,V_a_0>=1,V_a_1>=0,V_b_1>=1,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [27]: 0 4.48/4.49 with precondition: [B=4,C=V_4,D=V_8,G=V_a_2,H=V_a_3,K=V_b_2,L=V_b_3,M=V_i_0,V_a_1=E,V_a_1=F,V_b_1=I,V_b_1=J,0>=V_b_1,V_a_0>=1,V_a_1>=0,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [26,[25],32]: 1*it(25)+2*s(1)+1*s(4)+1*s(21)+1*s(22)+1 4.48/4.49 Such that:s(21) =< -V_a_1+V_n 4.48/4.49 s(22) =< V_a_1 4.48/4.49 it(25) =< V_a_1+V_b_1 4.48/4.49 aux(25) =< V_n 4.48/4.49 s(1) =< aux(25) 4.48/4.49 s(4) =< it(25)*aux(25) 4.48/4.49 s(21) =< aux(25) 4.48/4.49 s(22) =< aux(25) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_a_0>=V_a_1+1,V_n>=V_a_1+2,V_a_1+V_b_1>=3,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [26,[25],31]: 1*it(25)+1*s(4)+1*s(21)+1*s(22)+1*s(24)+1 4.48/4.49 Such that:s(21) =< -V_a_1+V_n 4.48/4.49 s(22) =< V_a_1 4.48/4.49 it(25) =< V_a_1+V_b_1 4.48/4.49 aux(29) =< V_n 4.48/4.49 s(4) =< it(25)*aux(29) 4.48/4.49 s(21) =< aux(29) 4.48/4.49 s(24) =< aux(29) 4.48/4.49 s(22) =< aux(29) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_a_0>=V_a_1+1,V_n>=V_a_1+2,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [26,[25],28]: 1*it(25)+1*s(4)+1*s(21)+1*s(22)+1*s(24)+1 4.48/4.49 Such that:s(21) =< -V_a_1+V_n 4.48/4.49 s(22) =< V_a_1 4.48/4.49 it(25) =< V_a_1+V_b_1 4.48/4.49 aux(33) =< V_n 4.48/4.49 s(4) =< it(25)*aux(33) 4.48/4.49 s(21) =< aux(33) 4.48/4.49 s(24) =< aux(33) 4.48/4.49 s(22) =< aux(33) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_a_0>=V_a_1+1,V_n>=V_a_1+2,V_a_1+V_b_1>=3,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [26,[25],27]: 1*it(25)+1*s(4)+1*s(21)+1*s(22)+1*s(24)+1 4.48/4.49 Such that:s(21) =< -V_a_1+V_n 4.48/4.49 s(22) =< V_a_1 4.48/4.49 it(25) =< V_a_1+V_b_1 4.48/4.49 aux(37) =< V_n 4.48/4.49 s(4) =< it(25)*aux(37) 4.48/4.49 s(21) =< aux(37) 4.48/4.49 s(24) =< aux(37) 4.48/4.49 s(22) =< aux(37) 4.48/4.49 4.48/4.49 with precondition: [B=4,C=0,E=0,F=0,G=0,H=0,I=0,J=0,K=0,L=0,M=0,V_a_1>=1,V_b_1>=1,D>=1,V_a_0>=V_a_1+1,V_n>=V_a_1+2,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [26,32]: 2*s(1)+1*s(21)+1*s(22)+1 4.48/4.49 Such that:s(21) =< -V_a_1+V_n 4.48/4.49 s(22) =< V_a_1 4.48/4.49 aux(41) =< V_n 4.48/4.49 s(1) =< aux(41) 4.48/4.49 s(21) =< aux(41) 4.48/4.49 s(22) =< aux(41) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_a_0>=V_a_1+1,V_n>=V_a_1+2,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [26,31]: 1*s(21)+1*s(22)+1*s(24)+1 4.48/4.49 Such that:s(21) =< -V_a_1+V_n 4.48/4.49 s(22) =< V_a_1 4.48/4.49 s(23) =< V_n 4.48/4.49 s(21) =< s(23) 4.48/4.49 s(24) =< s(23) 4.48/4.49 s(22) =< s(23) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_a_0>=V_a_1+1,V_n>=V_a_1+2,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 * Chain [26,28]: 1*s(21)+1*s(22)+1*s(24)+1 4.48/4.49 Such that:s(21) =< -V_a_1+V_n 4.48/4.49 s(22) =< V_a_1 4.48/4.49 s(23) =< V_n 4.48/4.49 s(21) =< s(23) 4.48/4.49 s(24) =< s(23) 4.48/4.49 s(22) =< s(23) 4.48/4.49 4.48/4.49 with precondition: [B=3,V_a_1>=1,V_b_1>=1,V_a_0>=V_a_1+1,V_n>=V_a_1+2,V_a_0+V_b_0>=V_a_1+V_b_1] 4.48/4.49 4.48/4.49 4.48/4.49 #### Cost of chains of eval_start_bb1_in(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B,C,D,E,F,G,H,I,J,K,L,M): 4.48/4.49 * Chain [[35],54]: 2*it(35)+1*s(175)+1*s(177)+1*s(178)+1*s(191)+1*s(192)+0 4.48/4.49 Such that:s(175) =< 1 4.48/4.49 aux(73) =< V_a_0 4.48/4.49 aux(74) =< V_n 4.48/4.49 s(177) =< aux(74) 4.48/4.49 s(178) =< s(175)*aux(74) 4.48/4.49 it(35) =< aux(73) 4.48/4.49 s(191) =< aux(73) 4.48/4.49 s(193) =< it(35)*aux(74) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=2,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],52]: 2*it(35)+1*s(191)+1*s(192)+0 4.48/4.49 Such that:s(184) =< V_n 4.48/4.49 aux(75) =< V_a_0 4.48/4.49 it(35) =< aux(75) 4.48/4.49 s(191) =< aux(75) 4.48/4.49 s(193) =< it(35)*s(184) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=2,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],49]: 2*it(35)+1*s(191)+1*s(192)+0 4.48/4.49 Such that:s(184) =< V_n 4.48/4.49 aux(76) =< V_a_0 4.48/4.49 it(35) =< aux(76) 4.48/4.49 s(191) =< aux(76) 4.48/4.49 s(193) =< it(35)*s(184) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=2,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],48]: 2*it(35)+1*s(191)+1*s(192)+0 4.48/4.49 Such that:s(184) =< V_n 4.48/4.49 aux(77) =< V_a_0 4.48/4.49 it(35) =< aux(77) 4.48/4.49 s(191) =< aux(77) 4.48/4.49 s(193) =< it(35)*s(184) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=2,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],47]: 7*it(35)+5*s(191)+5*s(192)+1*s(198)+2*s(202)+1*s(205)+0 4.48/4.49 Such that:aux(79) =< V_a_0 4.48/4.49 aux(80) =< V_n 4.48/4.49 s(198) =< aux(79) 4.48/4.49 s(191) =< aux(79) 4.48/4.49 it(35) =< aux(79) 4.48/4.49 s(198) =< aux(80) 4.48/4.49 s(202) =< aux(80) 4.48/4.49 s(193) =< it(35)*aux(80) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 s(205) =< it(35)*aux(80) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=3,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],46]: 3*it(35)+2*s(191)+2*s(192)+1*s(212)+1*s(214)+0 4.48/4.49 Such that:aux(82) =< V_a_0 4.48/4.49 aux(83) =< V_n 4.48/4.49 s(191) =< aux(82) 4.48/4.49 s(212) =< aux(82) 4.48/4.49 it(35) =< aux(82) 4.48/4.49 s(212) =< aux(83) 4.48/4.49 s(214) =< aux(83) 4.48/4.49 s(193) =< it(35)*aux(83) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=4,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],45]: 6*it(35)+3*s(191)+3*s(192)+2*s(222)+1*s(225)+0 4.48/4.49 Such that:aux(85) =< V_a_0 4.48/4.49 aux(86) =< V_n 4.48/4.49 s(191) =< aux(85) 4.48/4.49 it(35) =< aux(85) 4.48/4.49 s(222) =< it(35)*aux(86) 4.48/4.49 s(193) =< it(35)*aux(86) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 s(225) =< aux(86) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=4,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],44]: 8*it(35)+6*s(191)+6*s(192)+4*s(234)+10*s(235)+1*s(236)+1*s(239)+1*s(240)+1 4.48/4.49 Such that:s(227) =< V_n+1 4.48/4.49 aux(88) =< V_a_0 4.48/4.49 aux(89) =< V_n 4.48/4.49 s(191) =< aux(88) 4.48/4.49 it(35) =< aux(88) 4.48/4.49 s(234) =< aux(88) 4.48/4.49 s(235) =< aux(89) 4.48/4.49 s(234) =< aux(89) 4.48/4.49 s(236) =< it(35)*aux(89) 4.48/4.49 s(193) =< it(35)*aux(89) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 s(239) =< aux(88) 4.48/4.49 s(240) =< aux(89) 4.48/4.49 s(240) =< s(227) 4.48/4.49 s(239) =< s(227) 4.48/4.49 s(239) =< aux(89) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=4,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],43]: 6*it(35)+3*s(191)+3*s(192)+2*s(248)+5*s(250)+2*s(251)+1 4.48/4.49 Such that:aux(91) =< V_a_0 4.48/4.49 aux(92) =< V_n 4.48/4.49 s(191) =< aux(91) 4.48/4.49 s(248) =< aux(91) 4.48/4.49 it(35) =< aux(91) 4.48/4.49 s(250) =< aux(92) 4.48/4.49 s(248) =< aux(92) 4.48/4.49 s(251) =< it(35)*aux(92) 4.48/4.49 s(193) =< it(35)*aux(92) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=5,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],42]: 2*it(35)+1*s(191)+1*s(192)+5*s(254)+1*s(255)+5*s(259)+6*s(261)+1*s(262)+1 4.48/4.49 Such that:aux(94) =< V_a_0 4.48/4.49 aux(95) =< V_n 4.48/4.49 aux(96) =< V_n+1 4.48/4.49 aux(93) =< aux(94) 4.48/4.49 s(256) =< aux(95) 4.48/4.49 aux(93) =< aux(96) 4.48/4.49 s(256) =< aux(96) 4.48/4.49 s(254) =< aux(93) 4.48/4.49 s(255) =< aux(93) 4.48/4.49 s(259) =< s(256) 4.48/4.49 s(259) =< aux(95) 4.48/4.49 s(261) =< aux(95) 4.48/4.49 s(254) =< aux(95) 4.48/4.49 s(262) =< s(255)*aux(95) 4.48/4.49 it(35) =< aux(94) 4.48/4.49 s(191) =< aux(94) 4.48/4.49 s(193) =< it(35)*aux(95) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=3,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],41]: 2*it(35)+1*s(191)+1*s(192)+2*s(267)+2*s(268)+2*s(269)+2*s(270)+3*s(271)+1 4.48/4.49 Such that:aux(98) =< V_a_0 4.48/4.49 aux(99) =< V_n 4.48/4.49 aux(100) =< V_n+1 4.48/4.49 aux(97) =< aux(98) 4.48/4.49 s(263) =< aux(99) 4.48/4.49 aux(97) =< aux(100) 4.48/4.49 s(263) =< aux(100) 4.48/4.49 s(267) =< s(263) 4.48/4.49 s(268) =< aux(97) 4.48/4.49 s(269) =< aux(97) 4.48/4.49 s(270) =< s(269)*aux(99) 4.48/4.49 s(267) =< aux(99) 4.48/4.49 s(271) =< aux(99) 4.48/4.49 s(268) =< aux(99) 4.48/4.49 it(35) =< aux(98) 4.48/4.49 s(191) =< aux(98) 4.48/4.49 s(193) =< it(35)*aux(99) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=4,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],39,52]: 2*it(35)+1*s(191)+1*s(192)+1*s(272)+1*s(274)+1 4.48/4.49 Such that:s(272) =< 1 4.48/4.49 aux(101) =< V_a_0 4.48/4.49 aux(102) =< V_n 4.48/4.49 s(274) =< s(272)*aux(102) 4.48/4.49 it(35) =< aux(101) 4.48/4.49 s(191) =< aux(101) 4.48/4.49 s(193) =< it(35)*aux(102) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=2,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],39,40]: 2*it(35)+1*s(191)+1*s(192)+1*s(272)+1*s(274)+1 4.48/4.49 Such that:s(272) =< 1 4.48/4.49 aux(103) =< V_a_0 4.48/4.49 aux(104) =< V_n 4.48/4.49 s(274) =< s(272)*aux(104) 4.48/4.49 it(35) =< aux(103) 4.48/4.49 s(191) =< aux(103) 4.48/4.49 s(193) =< it(35)*aux(104) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=5,C=0,E=0,F=0,G=0,H=0,I=0,J=0,K=0,L=0,M=0,V_a_0>=2,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],38,52]: 4*it(35)+2*s(191)+2*s(192)+1*s(279)+1 4.48/4.49 Such that:aux(106) =< V_a_0 4.48/4.49 aux(107) =< V_n 4.48/4.49 s(191) =< aux(106) 4.48/4.49 it(35) =< aux(106) 4.48/4.49 s(279) =< it(35)*aux(107) 4.48/4.49 s(193) =< it(35)*aux(107) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=3,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],38,40]: 4*it(35)+2*s(191)+2*s(192)+1*s(279)+1 4.48/4.49 Such that:aux(108) =< V_a_0 4.48/4.49 aux(109) =< V_n 4.48/4.49 s(191) =< aux(108) 4.48/4.49 it(35) =< aux(108) 4.48/4.49 s(279) =< it(35)*aux(109) 4.48/4.49 s(193) =< it(35)*aux(109) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=5,C=0,E=0,F=0,G=0,H=0,I=0,J=0,K=0,L=0,M=0,V_a_0>=3,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],37,52]: 4*it(35)+2*s(191)+2*s(192)+1*s(286)+2*s(288)+1*s(289)+2 4.48/4.49 Such that:aux(111) =< V_a_0 4.48/4.49 aux(112) =< V_n 4.48/4.49 s(191) =< aux(111) 4.48/4.49 s(286) =< aux(111) 4.48/4.49 it(35) =< aux(111) 4.48/4.49 s(288) =< aux(112) 4.48/4.49 s(286) =< aux(112) 4.48/4.49 s(289) =< it(35)*aux(112) 4.48/4.49 s(193) =< it(35)*aux(112) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=4,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],37,40]: 4*it(35)+2*s(191)+2*s(192)+1*s(286)+2*s(288)+1*s(289)+2 4.48/4.49 Such that:aux(113) =< V_a_0 4.48/4.49 aux(114) =< V_n 4.48/4.49 s(191) =< aux(113) 4.48/4.49 s(286) =< aux(113) 4.48/4.49 it(35) =< aux(113) 4.48/4.49 s(288) =< aux(114) 4.48/4.49 s(286) =< aux(114) 4.48/4.49 s(289) =< it(35)*aux(114) 4.48/4.49 s(193) =< it(35)*aux(114) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=5,C=0,E=0,F=0,G=0,H=0,I=0,J=0,K=0,L=0,M=0,V_a_0>=4,D>=1,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],36,52]: 2*it(35)+1*s(191)+1*s(192)+1*s(292)+1*s(293)+1*s(294)+1*s(296)+1*s(297)+2 4.48/4.49 Such that:aux(116) =< V_a_0 4.48/4.49 aux(117) =< V_n 4.48/4.49 aux(118) =< V_n+1 4.48/4.49 aux(115) =< aux(116) 4.48/4.49 s(292) =< aux(117) 4.48/4.49 aux(115) =< aux(118) 4.48/4.49 s(292) =< aux(118) 4.48/4.49 s(293) =< aux(115) 4.48/4.49 s(294) =< aux(115) 4.48/4.49 s(296) =< s(294)*aux(117) 4.48/4.49 s(297) =< aux(117) 4.48/4.49 s(293) =< aux(117) 4.48/4.49 it(35) =< aux(116) 4.48/4.49 s(191) =< aux(116) 4.48/4.49 s(193) =< it(35)*aux(117) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=3,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[35],36,40]: 2*it(35)+1*s(191)+1*s(192)+1*s(292)+1*s(293)+1*s(294)+1*s(296)+1*s(297)+2 4.48/4.49 Such that:aux(119) =< V_a_0 4.48/4.49 aux(120) =< V_n 4.48/4.49 aux(121) =< V_n+1 4.48/4.49 aux(115) =< aux(119) 4.48/4.49 s(292) =< aux(120) 4.48/4.49 aux(115) =< aux(121) 4.48/4.49 s(292) =< aux(121) 4.48/4.49 s(293) =< aux(115) 4.48/4.49 s(294) =< aux(115) 4.48/4.49 s(296) =< s(294)*aux(120) 4.48/4.49 s(297) =< aux(120) 4.48/4.49 s(293) =< aux(120) 4.48/4.49 it(35) =< aux(119) 4.48/4.49 s(191) =< aux(119) 4.48/4.49 s(193) =< it(35)*aux(120) 4.48/4.49 s(192) =< s(193) 4.48/4.49 s(191) =< s(193) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=5,C=0,E=0,F=0,G=0,H=0,I=0,J=0,K=0,L=0,M=0,V_a_0>=3,D>=1,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [[34],52]: 2*it(34)+0 4.48/4.49 Such that:aux(125) =< 1 4.48/4.49 it(34) =< aux(125) 4.48/4.49 4.48/4.49 with precondition: [V_a_0=1,V_b_0=0,V_n=1,B=3] 4.48/4.49 4.48/4.49 * Chain [[34],40]: 2*it(34)+0 4.48/4.49 Such that:aux(126) =< 1 4.48/4.49 it(34) =< aux(126) 4.48/4.49 4.48/4.49 with precondition: [V_a_0=1,V_b_0=0,V_n=1,B=5,C=0,E=0,F=0,G=0,I=0,J=0,K=0,M=0,V_8=D,V_a_3=H,V_b_3=L] 4.48/4.49 4.48/4.49 * Chain [52]: 0 4.48/4.49 with precondition: [V_b_0=0,B=3,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [51]: 1*s(301)+0 4.48/4.49 Such that:s(301) =< 1 4.48/4.49 4.48/4.49 with precondition: [V_a_0=1,V_b_0=0,V_n=1,B=3] 4.48/4.49 4.48/4.49 * Chain [49]: 0 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=1,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [48]: 0 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=1,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [47]: 1*s(198)+4*s(199)+5*s(201)+2*s(202)+4*s(204)+1*s(205)+0 4.48/4.49 Such that:s(197) =< V_n 4.48/4.49 aux(78) =< V_a_0 4.48/4.49 s(198) =< aux(78) 4.48/4.49 s(199) =< aux(78) 4.48/4.49 s(201) =< aux(78) 4.48/4.49 s(198) =< s(197) 4.48/4.49 s(202) =< s(197) 4.48/4.49 s(203) =< s(201)*s(197) 4.48/4.49 s(204) =< s(203) 4.48/4.49 s(199) =< s(203) 4.48/4.49 s(205) =< s(201)*s(197) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=2,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [46]: 1*s(211)+1*s(212)+1*s(213)+1*s(214)+1*s(216)+0 4.48/4.49 Such that:s(210) =< V_n 4.48/4.49 aux(81) =< V_a_0 4.48/4.49 s(211) =< aux(81) 4.48/4.49 s(212) =< aux(81) 4.48/4.49 s(213) =< aux(81) 4.48/4.49 s(212) =< s(210) 4.48/4.49 s(214) =< s(210) 4.48/4.49 s(215) =< s(213)*s(210) 4.48/4.49 s(216) =< s(215) 4.48/4.49 s(211) =< s(215) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=3,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [45]: 2*s(220)+4*s(221)+2*s(222)+2*s(224)+1*s(225)+0 4.48/4.49 Such that:s(219) =< V_n 4.48/4.49 aux(84) =< V_a_0 4.48/4.49 s(220) =< aux(84) 4.48/4.49 s(221) =< aux(84) 4.48/4.49 s(222) =< s(221)*s(219) 4.48/4.49 s(223) =< s(221)*s(219) 4.48/4.49 s(224) =< s(223) 4.48/4.49 s(220) =< s(223) 4.48/4.49 s(225) =< s(219) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=3,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [44]: 5*s(231)+6*s(232)+4*s(234)+10*s(235)+1*s(236)+5*s(238)+1*s(239)+1*s(240)+1 4.48/4.49 Such that:s(230) =< V_n 4.48/4.49 s(227) =< V_n+1 4.48/4.49 aux(87) =< V_a_0 4.48/4.49 s(231) =< aux(87) 4.48/4.49 s(232) =< aux(87) 4.48/4.49 s(234) =< aux(87) 4.48/4.49 s(235) =< s(230) 4.48/4.49 s(234) =< s(230) 4.48/4.49 s(236) =< s(232)*s(230) 4.48/4.49 s(237) =< s(232)*s(230) 4.48/4.49 s(238) =< s(237) 4.48/4.49 s(231) =< s(237) 4.48/4.49 s(239) =< aux(87) 4.48/4.49 s(240) =< s(230) 4.48/4.49 s(240) =< s(227) 4.48/4.49 s(239) =< s(227) 4.48/4.49 s(239) =< s(230) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=3,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [43]: 2*s(247)+2*s(248)+4*s(249)+5*s(250)+2*s(251)+2*s(253)+1 4.48/4.49 Such that:s(246) =< V_n 4.48/4.49 aux(90) =< V_a_0 4.48/4.49 s(247) =< aux(90) 4.48/4.49 s(248) =< aux(90) 4.48/4.49 s(249) =< aux(90) 4.48/4.49 s(250) =< s(246) 4.48/4.49 s(248) =< s(246) 4.48/4.49 s(251) =< s(249)*s(246) 4.48/4.49 s(252) =< s(249)*s(246) 4.48/4.49 s(253) =< s(252) 4.48/4.49 s(247) =< s(252) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=4,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [40]: 0 4.48/4.49 with precondition: [V_b_0=0,B=5,I=0,C=V_4,D=V_8,F=V_a_1,G=V_a_2,H=V_a_3,J=V_b_1,K=V_b_2,L=V_b_3,M=V_i_0,V_a_0=E,0>=V_a_0,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [38,52]: 1*s(275)+2*s(278)+1*s(279)+1*s(281)+1 4.48/4.49 Such that:aux(105) =< V_a_0 4.48/4.49 s(277) =< V_n 4.48/4.49 s(275) =< aux(105) 4.48/4.49 s(278) =< aux(105) 4.48/4.49 s(279) =< s(278)*s(277) 4.48/4.49 s(280) =< s(278)*s(277) 4.48/4.49 s(281) =< s(280) 4.48/4.49 s(275) =< s(280) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=2,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [38,40]: 1*s(275)+2*s(278)+1*s(279)+1*s(281)+1 4.48/4.49 Such that:aux(105) =< V_a_0 4.48/4.49 s(277) =< V_n 4.48/4.49 s(275) =< aux(105) 4.48/4.49 s(278) =< aux(105) 4.48/4.49 s(279) =< s(278)*s(277) 4.48/4.49 s(280) =< s(278)*s(277) 4.48/4.49 s(281) =< s(280) 4.48/4.49 s(275) =< s(280) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=5,C=0,E=0,F=0,G=0,H=0,I=0,J=0,K=0,L=0,M=0,V_a_0>=2,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [37,52]: 1*s(285)+1*s(286)+2*s(287)+2*s(288)+1*s(289)+1*s(291)+2 4.48/4.49 Such that:aux(110) =< V_a_0 4.48/4.49 s(284) =< V_n 4.48/4.49 s(285) =< aux(110) 4.48/4.49 s(286) =< aux(110) 4.48/4.49 s(287) =< aux(110) 4.48/4.49 s(288) =< s(284) 4.48/4.49 s(286) =< s(284) 4.48/4.49 s(289) =< s(287)*s(284) 4.48/4.49 s(290) =< s(287)*s(284) 4.48/4.49 s(291) =< s(290) 4.48/4.49 s(285) =< s(290) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=3,V_a_0>=3,V_n>=V_a_0] 4.48/4.49 4.48/4.49 * Chain [37,40]: 1*s(285)+1*s(286)+2*s(287)+2*s(288)+1*s(289)+1*s(291)+2 4.48/4.49 Such that:aux(110) =< V_a_0 4.48/4.49 s(284) =< V_n 4.48/4.49 s(285) =< aux(110) 4.48/4.49 s(286) =< aux(110) 4.48/4.49 s(287) =< aux(110) 4.48/4.49 s(288) =< s(284) 4.48/4.49 s(286) =< s(284) 4.48/4.49 s(289) =< s(287)*s(284) 4.48/4.49 s(290) =< s(287)*s(284) 4.48/4.49 s(291) =< s(290) 4.48/4.49 s(285) =< s(290) 4.48/4.49 4.48/4.49 with precondition: [V_b_0=0,B=5,C=0,E=0,F=0,G=0,H=0,I=0,J=0,K=0,L=0,M=0,V_a_0>=3,D>=1,V_n>=V_a_0] 4.48/4.49 4.48/4.49 4.48/4.49 #### Cost of chains of eval_start_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N): 4.48/4.49 * Chain [56]: 0 4.48/4.49 with precondition: [A=3] 4.48/4.49 4.48/4.49 * Chain [55]: 0 4.48/4.49 with precondition: [A=5] 4.48/4.49 4.48/4.49 4.48/4.49 #### Cost of chains of eval_start_10(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B): 4.48/4.49 * Chain [64]: 0 4.48/4.49 with precondition: [] 4.48/4.49 4.48/4.49 * Chain [63]: 5 4.48/4.49 with precondition: [V_n=1] 4.48/4.49 4.48/4.49 * Chain [62]: 0 4.48/4.49 with precondition: [0>=V_n] 4.48/4.49 4.48/4.49 * Chain [61]: 0 4.48/4.49 with precondition: [V_n>=1] 4.48/4.49 4.48/4.49 * Chain [60]: 3*s(538)+3*s(539)+25*s(540)+12*s(541)+12*s(543)+3*s(545)+1 4.48/4.49 Such that:aux(143) =< 1 4.48/4.49 aux(144) =< V_n 4.48/4.49 s(538) =< aux(143) 4.48/4.49 s(539) =< s(538)*aux(144) 4.48/4.49 s(540) =< aux(144) 4.48/4.49 s(541) =< aux(144) 4.48/4.49 s(542) =< s(540)*aux(144) 4.48/4.49 s(543) =< s(542) 4.48/4.49 s(541) =< s(542) 4.48/4.49 s(545) =< s(540)*aux(144) 4.48/4.49 4.48/4.49 with precondition: [V_n>=2] 4.48/4.49 4.48/4.49 * Chain [59]: 22*s(559)+70*s(560)+8*s(563)+22*s(565)+4*s(567)+12*s(568)+3*s(569)+3*s(570)+2 4.48/4.49 Such that:aux(148) =< V_n 4.48/4.49 aux(149) =< V_n+1 4.48/4.49 s(559) =< aux(148) 4.48/4.49 s(560) =< aux(148) 4.48/4.49 s(563) =< s(560)*aux(148) 4.48/4.49 s(564) =< s(560)*aux(148) 4.48/4.49 s(565) =< s(564) 4.48/4.49 s(559) =< s(564) 4.48/4.49 s(566) =< aux(148) 4.48/4.49 s(567) =< aux(148) 4.48/4.49 s(566) =< aux(149) 4.48/4.49 s(567) =< aux(149) 4.48/4.49 s(568) =< s(566) 4.48/4.49 s(569) =< s(566) 4.48/4.49 s(570) =< s(569)*aux(148) 4.48/4.49 s(568) =< aux(148) 4.48/4.49 4.48/4.49 with precondition: [V_n>=3] 4.48/4.49 4.48/4.49 * Chain [58]: 18*s(599)+64*s(600)+7*s(603)+18*s(605)+4*s(608)+2*s(610)+2*s(611)+2*s(612)+2 4.48/4.49 Such that:s(598) =< V_n+1 4.48/4.49 aux(152) =< V_n 4.48/4.49 s(599) =< aux(152) 4.48/4.49 s(600) =< aux(152) 4.48/4.49 s(603) =< s(600)*aux(152) 4.48/4.49 s(604) =< s(600)*aux(152) 4.48/4.49 s(605) =< s(604) 4.48/4.49 s(599) =< s(604) 4.48/4.49 s(606) =< aux(152) 4.48/4.49 s(606) =< s(598) 4.48/4.49 s(608) =< s(606) 4.48/4.49 s(610) =< s(606) 4.48/4.49 s(611) =< s(610)*aux(152) 4.48/4.49 s(608) =< aux(152) 4.48/4.49 s(612) =< aux(152) 4.48/4.49 s(612) =< s(598) 4.48/4.49 4.48/4.49 with precondition: [V_n>=4] 4.48/4.49 4.48/4.49 * Chain [57]: 3*s(625)+13*s(626)+2*s(629)+3*s(631)+1 4.48/4.49 Such that:aux(153) =< V_n 4.48/4.49 s(625) =< aux(153) 4.48/4.49 s(626) =< aux(153) 4.48/4.49 s(629) =< s(626)*aux(153) 4.48/4.49 s(630) =< s(626)*aux(153) 4.48/4.49 s(631) =< s(630) 4.48/4.49 s(625) =< s(630) 4.48/4.49 4.48/4.49 with precondition: [V_n>=5] 4.48/4.49 4.48/4.49 4.48/4.49 #### Cost of chains of eval_start_start(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B): 4.48/4.49 * Chain [72]: 0 4.48/4.49 with precondition: [] 4.48/4.49 4.48/4.49 * Chain [71]: 5 4.48/4.49 with precondition: [V_n=1] 4.48/4.49 4.48/4.49 * Chain [70]: 0 4.48/4.49 with precondition: [0>=V_n] 4.48/4.49 4.48/4.49 * Chain [69]: 0 4.48/4.49 with precondition: [V_n>=1] 4.48/4.49 4.48/4.49 * Chain [68]: 3*s(634)+3*s(635)+25*s(636)+12*s(637)+12*s(639)+3*s(640)+1 4.48/4.49 Such that:s(632) =< 1 4.48/4.49 s(633) =< V_n 4.48/4.49 s(634) =< s(632) 4.48/4.49 s(635) =< s(634)*s(633) 4.48/4.49 s(636) =< s(633) 4.48/4.49 s(637) =< s(633) 4.48/4.49 s(638) =< s(636)*s(633) 4.48/4.49 s(639) =< s(638) 4.48/4.49 s(637) =< s(638) 4.48/4.49 s(640) =< s(636)*s(633) 4.48/4.49 4.48/4.49 with precondition: [V_n>=2] 4.48/4.49 4.48/4.49 * Chain [67]: 22*s(643)+70*s(644)+8*s(645)+22*s(647)+4*s(649)+12*s(650)+3*s(651)+3*s(652)+2 4.48/4.49 Such that:s(641) =< V_n 4.48/4.49 s(642) =< V_n+1 4.48/4.49 s(643) =< s(641) 4.48/4.49 s(644) =< s(641) 4.48/4.49 s(645) =< s(644)*s(641) 4.48/4.49 s(646) =< s(644)*s(641) 4.48/4.49 s(647) =< s(646) 4.48/4.49 s(643) =< s(646) 4.48/4.49 s(648) =< s(641) 4.48/4.49 s(649) =< s(641) 4.48/4.49 s(648) =< s(642) 4.48/4.49 s(649) =< s(642) 4.48/4.49 s(650) =< s(648) 4.48/4.49 s(651) =< s(648) 4.48/4.49 s(652) =< s(651)*s(641) 4.48/4.49 s(650) =< s(641) 4.48/4.49 4.48/4.49 with precondition: [V_n>=3] 4.48/4.49 4.48/4.49 * Chain [66]: 18*s(655)+64*s(656)+7*s(657)+18*s(659)+4*s(661)+2*s(662)+2*s(663)+2*s(664)+2 4.48/4.49 Such that:s(654) =< V_n 4.48/4.49 s(653) =< V_n+1 4.48/4.49 s(655) =< s(654) 4.48/4.49 s(656) =< s(654) 4.48/4.49 s(657) =< s(656)*s(654) 4.48/4.49 s(658) =< s(656)*s(654) 4.48/4.49 s(659) =< s(658) 4.48/4.49 s(655) =< s(658) 4.48/4.49 s(660) =< s(654) 4.48/4.49 s(660) =< s(653) 4.48/4.49 s(661) =< s(660) 4.48/4.49 s(662) =< s(660) 4.48/4.49 s(663) =< s(662)*s(654) 4.48/4.49 s(661) =< s(654) 4.48/4.49 s(664) =< s(654) 4.48/4.49 s(664) =< s(653) 4.48/4.49 4.48/4.49 with precondition: [V_n>=4] 4.48/4.49 4.48/4.49 * Chain [65]: 3*s(666)+13*s(667)+2*s(668)+3*s(670)+1 4.48/4.49 Such that:s(665) =< V_n 4.48/4.49 s(666) =< s(665) 4.48/4.49 s(667) =< s(665) 4.48/4.49 s(668) =< s(667)*s(665) 4.48/4.49 s(669) =< s(667)*s(665) 4.48/4.49 s(670) =< s(669) 4.48/4.49 s(666) =< s(669) 4.48/4.49 4.48/4.49 with precondition: [V_n>=5] 4.48/4.49 4.48/4.49 4.48/4.49 Closed-form bounds of eval_start_start(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B): 4.48/4.49 ------------------------------------- 4.48/4.49 * Chain [72] with precondition: [] 4.48/4.49 - Upper bound: 0 4.48/4.49 - Complexity: constant 4.48/4.49 * Chain [71] with precondition: [V_n=1] 4.48/4.49 - Upper bound: 5 4.48/4.49 - Complexity: constant 4.48/4.49 * Chain [70] with precondition: [0>=V_n] 4.48/4.49 - Upper bound: 0 4.48/4.49 - Complexity: constant 4.48/4.49 * Chain [69] with precondition: [V_n>=1] 4.48/4.49 - Upper bound: 0 4.48/4.49 - Complexity: constant 4.48/4.49 * Chain [68] with precondition: [V_n>=2] 4.48/4.49 - Upper bound: 40*V_n+4+15*V_n*V_n 4.48/4.49 - Complexity: n^2 4.48/4.49 * Chain [67] with precondition: [V_n>=3] 4.48/4.49 - Upper bound: 111*V_n+2+33*V_n*V_n 4.48/4.49 - Complexity: n^2 4.48/4.49 * Chain [66] with precondition: [V_n>=4] 4.48/4.49 - Upper bound: 90*V_n+2+27*V_n*V_n 4.48/4.49 - Complexity: n^2 4.48/4.49 * Chain [65] with precondition: [V_n>=5] 4.48/4.49 - Upper bound: 16*V_n+1+5*V_n*V_n 4.48/4.49 - Complexity: n^2 4.48/4.49 4.48/4.49 ### Maximum cost of eval_start_start(V_4,V_8,V_a_0,V_a_1,V_a_2,V_a_3,V_b_0,V_b_1,V_b_2,V_b_3,V_i_0,V_n,B): max([4,nat(V_n)*24+1+nat(V_n)*10*nat(V_n)+max([2,nat(V_n)*12*nat(V_n)+nat(V_n)*50+(nat(V_n)*6*nat(V_n)+nat(V_n)*21)])+(nat(V_n)*5*nat(V_n)+nat(V_n)*16)])+1 4.48/4.49 Asymptotic class: n^2 4.48/4.49 * Total analysis performed in 4275 ms. 4.48/4.49 4.50/4.59 EOF