/export/starexec/sandbox/solver/bin/starexec_run_its /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^2)) Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. non_recursive : [eval_nestedLoop_stop/13] 1. non_recursive : [eval_nestedLoop__critedge_in/13] 2. recursive : [eval_nestedLoop_10/9,eval_nestedLoop_11/9,eval_nestedLoop_bb5_in/9,eval_nestedLoop_bb6_in/9,eval_nestedLoop_bb7_in/9] 3. recursive : [eval_nestedLoop_6/15,eval_nestedLoop_7/15,eval_nestedLoop__critedge3_in/15,eval_nestedLoop_bb3_in/15,eval_nestedLoop_bb4_in/15,eval_nestedLoop_bb5_in_loop_cont/16] 4. recursive : [eval_nestedLoop_15/22,eval_nestedLoop_16/22,eval_nestedLoop_4/22,eval_nestedLoop_5/22,eval_nestedLoop__critedge2_in/22,eval_nestedLoop__critedge3_in_loop_cont/23,eval_nestedLoop_bb1_in/22,eval_nestedLoop_bb2_in/22] 5. non_recursive : [exit_location/1] 6. non_recursive : [eval_nestedLoop_bb1_in_loop_cont/14] 7. non_recursive : [eval_nestedLoop_3/13] 8. non_recursive : [eval_nestedLoop_2/13] 9. non_recursive : [eval_nestedLoop_1/13] 10. non_recursive : [eval_nestedLoop_0/13] 11. non_recursive : [eval_nestedLoop_bb0_in/13] 12. non_recursive : [eval_nestedLoop_start/13] #### Obtained direct recursion through partial evaluation 0. SCC is completely evaluated into other SCCs 1. SCC is completely evaluated into other SCCs 2. SCC is partially evaluated into eval_nestedLoop_bb5_in/9 3. SCC is partially evaluated into eval_nestedLoop__critedge3_in/15 4. SCC is partially evaluated into eval_nestedLoop_bb1_in/22 5. SCC is completely evaluated into other SCCs 6. SCC is partially evaluated into eval_nestedLoop_bb1_in_loop_cont/14 7. SCC is partially evaluated into eval_nestedLoop_3/13 8. SCC is completely evaluated into other SCCs 9. SCC is completely evaluated into other SCCs 10. SCC is completely evaluated into other SCCs 11. SCC is completely evaluated into other SCCs 12. SCC is partially evaluated into eval_nestedLoop_start/13 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations eval_nestedLoop_bb5_in/9 * CE 21 is refined into CE [22] * CE 18 is refined into CE [23] * CE 20 is refined into CE [24] * CE 19 is refined into CE [25] ### Cost equations --> "Loop" of eval_nestedLoop_bb5_in/9 * CEs [25] --> Loop 22 * CEs [22] --> Loop 23 * CEs [23] --> Loop 24 * CEs [24] --> Loop 25 ### Ranking functions of CR eval_nestedLoop_bb5_in(V_11,V_N,V_i_1,V_j_0,V_k_0,B,C,D,E) * RF of phase [22]: [V_N-V_k_0] #### Partial ranking functions of CR eval_nestedLoop_bb5_in(V_11,V_N,V_i_1,V_j_0,V_k_0,B,C,D,E) * Partial RF of phase [22]: - RF of loop [22:1]: V_N-V_k_0 ### Specialization of cost equations eval_nestedLoop__critedge3_in/15 * CE 13 is refined into CE [26] * CE 16 is refined into CE [27] * CE 15 is refined into CE [28,29] * CE 17 is refined into CE [30] * CE 14 is refined into CE [31,32,33,34] ### Cost equations --> "Loop" of eval_nestedLoop__critedge3_in/15 * CEs [34] --> Loop 26 * CEs [33] --> Loop 27 * CEs [32] --> Loop 28 * CEs [31] --> Loop 29 * CEs [26] --> Loop 30 * CEs [27] --> Loop 31 * CEs [28] --> Loop 32 * CEs [30] --> Loop 33 * CEs [29] --> Loop 34 ### Ranking functions of CR eval_nestedLoop__critedge3_in(V_11,V_7,V_9,V_N,V_i_1,V_j_0,V_k_0,V_m,B,C,D,E,F,G,H) * RF of phase [26,27]: [-V_j_0+V_m] * RF of phase [29]: [-V_j_0+V_m] #### Partial ranking functions of CR eval_nestedLoop__critedge3_in(V_11,V_7,V_9,V_N,V_i_1,V_j_0,V_k_0,V_m,B,C,D,E,F,G,H) * Partial RF of phase [26,27]: - RF of loop [26:1]: V_N-V_i_1-1 - RF of loop [26:1,27:1]: -V_j_0+V_m * Partial RF of phase [29]: - RF of loop [29:1]: -V_j_0+V_m ### Specialization of cost equations eval_nestedLoop_bb1_in/22 * CE 6 is refined into CE [35] * CE 9 is refined into CE [36] * CE 8 is refined into CE [37,38,39,40,41,42,43,44] * CE 10 is refined into CE [45] * CE 7 is refined into CE [46,47,48,49,50,51,52,53,54,55,56,57] ### Cost equations --> "Loop" of eval_nestedLoop_bb1_in/22 * CEs [57] --> Loop 35 * CEs [54] --> Loop 36 * CEs [56] --> Loop 37 * CEs [55] --> Loop 38 * CEs [48] --> Loop 39 * CEs [53] --> Loop 40 * CEs [52] --> Loop 41 * CEs [51] --> Loop 42 * CEs [47] --> Loop 43 * CEs [50] --> Loop 44 * CEs [49] --> Loop 45 * CEs [46] --> Loop 46 * CEs [35] --> Loop 47 * CEs [36] --> Loop 48 * CEs [42] --> Loop 49 * CEs [41] --> Loop 50 * CEs [38] --> Loop 51 * CEs [40] --> Loop 52 * CEs [37] --> Loop 53 * CEs [44] --> Loop 54 * CEs [39] --> Loop 55 * CEs [43] --> Loop 56 * CEs [45] --> Loop 57 ### Ranking functions of CR eval_nestedLoop_bb1_in(V_11,V_14,V_4,V_7,V_9,V_N,V_i_0,V_i_1,V_j_0,V_k_0,V_m,V_n,B,C,D,E,F,G,H,I,J,K) * RF of phase [35,36,37,38,39,40,41,42,43,44,45]: [V_N-V_i_0+V_m+V_n-1,V_N-V_i_0+V_n,-V_i_0+V_n] * RF of phase [46]: [-V_i_0+V_n] #### Partial ranking functions of CR eval_nestedLoop_bb1_in(V_11,V_14,V_4,V_7,V_9,V_N,V_i_0,V_i_1,V_j_0,V_k_0,V_m,V_n,B,C,D,E,F,G,H,I,J,K) * Partial RF of phase [35,36,37,38,39,40,41,42,43,44,45]: - RF of loop [35:1,36:1]: V_N-V_i_0 - RF of loop [35:1,36:1,41:1,42:1,43:1]: -V_i_0+V_n - RF of loop [37:1,38:1,39:1,40:1,44:1,45:1]: V_N/2-V_i_0/2 -V_i_0/2+V_n/2 * Partial RF of phase [46]: - RF of loop [46:1]: -V_i_0+V_n ### Specialization of cost equations eval_nestedLoop_bb1_in_loop_cont/14 * CE 11 is refined into CE [58] * CE 12 is refined into CE [59] ### Cost equations --> "Loop" of eval_nestedLoop_bb1_in_loop_cont/14 * CEs [58] --> Loop 58 * CEs [59] --> Loop 59 ### Ranking functions of CR eval_nestedLoop_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N) #### Partial ranking functions of CR eval_nestedLoop_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N) ### Specialization of cost equations eval_nestedLoop_3/13 * CE 5 is refined into CE [60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83] * CE 2 is refined into CE [84] * CE 3 is refined into CE [85] * CE 4 is refined into CE [86] ### Cost equations --> "Loop" of eval_nestedLoop_3/13 * CEs [79] --> Loop 60 * CEs [77] --> Loop 61 * CEs [75] --> Loop 62 * CEs [73] --> Loop 63 * CEs [78] --> Loop 64 * CEs [76] --> Loop 65 * CEs [74] --> Loop 66 * CEs [72] --> Loop 67 * CEs [69] --> Loop 68 * CEs [66] --> Loop 69 * CEs [68,82] --> Loop 70 * CEs [67,83] --> Loop 71 * CEs [65,81] --> Loop 72 * CEs [64] --> Loop 73 * CEs [84] --> Loop 74 * CEs [85] --> Loop 75 * CEs [86] --> Loop 76 * CEs [80] --> Loop 77 * CEs [61,63] --> Loop 78 * CEs [60,62] --> Loop 79 * CEs [71] --> Loop 80 * CEs [70] --> Loop 81 ### Ranking functions of CR eval_nestedLoop_3(V_11,V_14,V_4,V_7,V_9,V_N,V_i_0,V_i_1,V_j_0,V_k_0,V_m,V_n,B) #### Partial ranking functions of CR eval_nestedLoop_3(V_11,V_14,V_4,V_7,V_9,V_N,V_i_0,V_i_1,V_j_0,V_k_0,V_m,V_n,B) ### Specialization of cost equations eval_nestedLoop_start/13 * CE 1 is refined into CE [87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108] ### Cost equations --> "Loop" of eval_nestedLoop_start/13 * CEs [108] --> Loop 82 * CEs [107] --> Loop 83 * CEs [106] --> Loop 84 * CEs [105] --> Loop 85 * CEs [104] --> Loop 86 * CEs [103] --> Loop 87 * CEs [102] --> Loop 88 * CEs [101] --> Loop 89 * CEs [100] --> Loop 90 * CEs [99] --> Loop 91 * CEs [98] --> Loop 92 * CEs [97] --> Loop 93 * CEs [96] --> Loop 94 * CEs [95] --> Loop 95 * CEs [94] --> Loop 96 * CEs [93] --> Loop 97 * CEs [92] --> Loop 98 * CEs [91] --> Loop 99 * CEs [90] --> Loop 100 * CEs [89] --> Loop 101 * CEs [88] --> Loop 102 * CEs [87] --> Loop 103 ### Ranking functions of CR eval_nestedLoop_start(V_11,V_14,V_4,V_7,V_9,V_N,V_i_0,V_i_1,V_j_0,V_k_0,V_m,V_n,B) #### Partial ranking functions of CR eval_nestedLoop_start(V_11,V_14,V_4,V_7,V_9,V_N,V_i_0,V_i_1,V_j_0,V_k_0,V_m,V_n,B) Computing Bounds ===================================== #### Cost of chains of eval_nestedLoop_bb5_in(V_11,V_N,V_i_1,V_j_0,V_k_0,B,C,D,E): * Chain [[22],25]: 1*it(22)+0 Such that:it(22) =< -V_k_0+D with precondition: [B=2,V_N=D,V_N=E,V_N>=0,V_j_0>=0,C>=1,V_k_0>=V_i_1,V_N>=V_k_0+1] * Chain [[22],24]: 1*it(22)+0 Such that:it(22) =< -V_k_0+D with precondition: [B=2,D=E,0>=C,V_N>=0,V_j_0>=0,V_k_0>=V_i_1,D>=V_k_0+1,V_N>=D+1] * Chain [[22],23]: 1*it(22)+0 Such that:it(22) =< V_N-V_k_0 with precondition: [B=3,V_N>=0,V_j_0>=0,V_k_0>=V_i_1,V_N>=V_k_0+1] * Chain [25]: 0 with precondition: [B=2,C=V_11,V_k_0=D,V_k_0=E,V_N>=0,V_j_0>=0,V_k_0>=V_N,V_k_0>=V_i_1] * Chain [24]: 0 with precondition: [B=2,V_k_0=D,V_k_0=E,0>=C,V_N>=0,V_j_0>=0,V_k_0>=V_i_1,V_N>=V_k_0+1] * Chain [23]: 0 with precondition: [B=3,V_N>=0,V_j_0>=0,V_k_0>=V_i_1] #### Cost of chains of eval_nestedLoop__critedge3_in(V_11,V_7,V_9,V_N,V_i_1,V_j_0,V_k_0,V_m,B,C,D,E,F,G,H): * Chain [[29],33]: 1*it(29)+0 Such that:it(29) =< -V_j_0+V_m with precondition: [B=3,V_N>=0,V_j_0>=0,V_i_1>=V_N,V_m>=V_j_0+1] * Chain [[29],32]: 1*it(29)+0 Such that:it(29) =< -V_j_0+V_m with precondition: [B=3,V_N>=0,V_j_0>=0,V_i_1>=V_N,V_m>=V_j_0+2] * Chain [[29],31]: 1*it(29)+0 Such that:it(29) =< -V_j_0+E with precondition: [B=4,V_11=C,V_m=E,V_i_1=F,V_m=G,V_i_1=H,V_N>=0,V_j_0>=0,D>=1,V_i_1>=V_N,V_m>=V_j_0+1] * Chain [[29],30]: 1*it(29)+0 Such that:it(29) =< -V_j_0+E with precondition: [B=4,V_11=C,V_i_1=F,E=G,V_i_1=H,0>=D,V_N>=0,V_j_0>=0,V_i_1>=V_N,E>=V_j_0+1,V_m>=E+1] * Chain [[26,27],34]: 1*it(26)+1*it(27)+2*s(1)+0 Such that:aux(5) =< V_N-V_i_1 aux(6) =< -V_j_0+V_m s(1) =< aux(5) it(26) =< aux(5) it(26) =< aux(6) it(27) =< aux(6) with precondition: [B=3,V_N>=0,V_j_0>=0,V_N>=V_i_1+1,V_m>=V_j_0+2] * Chain [[26,27],33]: 1*it(26)+1*it(27)+1*s(4)+0 Such that:aux(7) =< V_N-V_i_1 aux(8) =< -V_j_0+V_m it(26) =< aux(7) s(4) =< aux(7) it(26) =< aux(8) it(27) =< aux(8) with precondition: [B=3,V_N>=0,V_j_0>=0,V_N>=V_i_1+1,V_m>=V_j_0+1] * Chain [[26,27],32]: 1*it(26)+1*it(27)+1*s(4)+0 Such that:aux(9) =< V_N-V_i_1 aux(10) =< -V_j_0+V_m it(26) =< aux(9) s(4) =< aux(9) it(26) =< aux(10) it(27) =< aux(10) with precondition: [B=3,V_N>=0,V_j_0>=0,V_N>=V_i_1+1,V_m>=V_j_0+2] * Chain [[26,27],31]: 1*it(26)+1*it(27)+1*s(4)+0 Such that:aux(1) =< V_N-V_i_1 aux(2) =< -V_i_1+F aux(11) =< -V_j_0+V_m it(26) =< aux(1) s(4) =< aux(1) it(26) =< aux(2) s(4) =< aux(2) it(26) =< aux(11) it(27) =< aux(11) with precondition: [B=4,V_m=E,V_m=G,F=H,0>=C,V_N>=0,V_j_0>=0,D>=1,F>=V_i_1,V_m>=V_j_0+1,V_N>=F+1] * Chain [[26,27],30]: 1*it(26)+1*it(27)+1*s(4)+0 Such that:aux(1) =< V_N-V_i_1 aux(2) =< -V_i_1+F aux(3) =< -V_j_0+V_m aux(4) =< -V_j_0+G it(26) =< aux(1) s(4) =< aux(1) it(26) =< aux(2) s(4) =< aux(2) it(26) =< aux(3) it(27) =< aux(3) it(26) =< aux(4) it(27) =< aux(4) with precondition: [B=4,E=G,F=H,0>=C,0>=D,V_N>=0,V_j_0>=0,F>=V_i_1,E>=V_j_0+1,V_m>=E+1,V_N>=F+1] * Chain [[26,27],28,[29],33]: 1*it(26)+2*it(27)+2*s(4)+1 Such that:aux(12) =< V_N-V_i_1 aux(13) =< -V_j_0+V_m s(4) =< aux(12) it(27) =< aux(13) it(26) =< aux(12) it(26) =< aux(13) with precondition: [B=3,V_N>=0,V_j_0>=0,V_N>=V_i_1+1,V_m>=V_j_0+3] * Chain [[26,27],28,[29],32]: 1*it(26)+2*it(27)+2*s(4)+1 Such that:aux(14) =< V_N-V_i_1 aux(15) =< -V_j_0+V_m s(4) =< aux(14) it(27) =< aux(15) it(26) =< aux(14) it(26) =< aux(15) with precondition: [B=3,V_N>=0,V_j_0>=0,V_N>=V_i_1+1,V_m>=V_j_0+4] * Chain [[26,27],28,[29],31]: 1*it(26)+2*it(27)+2*s(4)+1 Such that:aux(16) =< -V_i_1+F aux(17) =< -V_j_0+V_m s(4) =< aux(16) it(27) =< aux(17) it(26) =< aux(16) it(26) =< aux(17) with precondition: [B=4,H=V_N,V_m=E,H=F,V_m=G,V_j_0>=0,C>=1,D>=1,H>=0,H>=V_i_1+1,V_m>=V_j_0+3] * Chain [[26,27],28,[29],30]: 1*it(26)+1*it(27)+1*it(29)+2*s(4)+1 Such that:aux(3) =< -V_j_0+V_m aux(18) =< -V_i_1+F aux(19) =< -V_j_0+G s(4) =< aux(18) it(29) =< aux(19) it(26) =< aux(18) it(26) =< aux(3) it(27) =< aux(3) it(26) =< aux(19) it(27) =< aux(19) with precondition: [B=4,V_N=F,E=G,V_N=H,0>=D,V_N>=0,V_j_0>=0,C>=1,V_N>=V_i_1+1,E>=V_j_0+3,V_m>=E+1] * Chain [[26,27],28,33]: 1*it(26)+1*it(27)+2*s(4)+1 Such that:aux(20) =< V_N-V_i_1 aux(21) =< -V_j_0+V_m s(4) =< aux(20) it(26) =< aux(20) it(26) =< aux(21) it(27) =< aux(21) with precondition: [B=3,V_N>=0,V_j_0>=0,V_N>=V_i_1+1,V_m>=V_j_0+2] * Chain [[26,27],28,32]: 1*it(26)+1*it(27)+2*s(4)+1 Such that:aux(22) =< V_N-V_i_1 aux(23) =< -V_j_0+V_m s(4) =< aux(22) it(26) =< aux(22) it(26) =< aux(23) it(27) =< aux(23) with precondition: [B=3,V_N>=0,V_j_0>=0,V_N>=V_i_1+1,V_m>=V_j_0+3] * Chain [[26,27],28,31]: 1*it(26)+1*it(27)+2*s(4)+1 Such that:aux(24) =< V_N-V_i_1 aux(25) =< -V_j_0+G s(4) =< aux(24) it(26) =< aux(24) it(26) =< aux(25) it(27) =< aux(25) with precondition: [B=4,V_m=E,V_N=F,V_m=G,V_N=H,V_N>=0,V_j_0>=0,C>=1,D>=1,V_N>=V_i_1+1,V_m>=V_j_0+2] * Chain [[26,27],28,30]: 1*it(26)+1*it(27)+2*s(4)+1 Such that:aux(3) =< -V_j_0+V_m aux(4) =< -V_j_0+G aux(26) =< V_N-V_i_1 s(4) =< aux(26) it(26) =< aux(26) it(26) =< aux(3) it(27) =< aux(3) it(26) =< aux(4) it(27) =< aux(4) with precondition: [B=4,V_N=F,E=G,V_N=H,0>=D,V_N>=0,V_j_0>=0,C>=1,V_N>=V_i_1+1,E>=V_j_0+2,V_m>=E+1] * Chain [34]: 1*s(1)+0 Such that:s(1) =< V_N-V_i_1 with precondition: [B=3,V_N>=0,V_j_0>=0,V_N>=V_i_1+1,V_m>=V_j_0+1] * Chain [33]: 0 with precondition: [B=3,V_N>=0,V_j_0>=0,V_m>=V_j_0] * Chain [32]: 0 with precondition: [B=3,V_N>=0,V_j_0>=0,V_m>=V_j_0+1] * Chain [31]: 0 with precondition: [B=4,C=V_11,D=V_7,E=V_9,F=V_i_1,V_m=V_j_0,H=V_k_0,V_m=G,V_N>=0,V_m>=0] * Chain [30]: 0 with precondition: [B=4,C=V_11,E=V_9,F=V_i_1,H=V_k_0,V_j_0=G,0>=D,V_N>=0,V_j_0>=0,V_m>=V_j_0+1] * Chain [28,[29],33]: 1*it(29)+1*s(5)+1 Such that:s(5) =< V_N-V_i_1 it(29) =< -V_j_0+V_m with precondition: [B=3,V_N>=0,V_j_0>=0,V_N>=V_i_1+1,V_m>=V_j_0+2] * Chain [28,[29],32]: 1*it(29)+1*s(5)+1 Such that:s(5) =< V_N-V_i_1 it(29) =< -V_j_0+V_m with precondition: [B=3,V_N>=0,V_j_0>=0,V_N>=V_i_1+1,V_m>=V_j_0+3] * Chain [28,[29],31]: 1*it(29)+1*s(5)+1 Such that:s(5) =< -V_i_1+H it(29) =< -V_j_0+V_m with precondition: [B=4,V_m=E,V_N=F,V_m=G,V_N=H,V_N>=0,V_j_0>=0,C>=1,D>=1,V_N>=V_i_1+1,V_m>=V_j_0+2] * Chain [28,[29],30]: 1*it(29)+1*s(5)+1 Such that:s(5) =< -V_i_1+H it(29) =< -V_j_0+E with precondition: [B=4,V_N=F,E=G,V_N=H,0>=D,V_N>=0,V_j_0>=0,C>=1,V_N>=V_i_1+1,E>=V_j_0+2,V_m>=E+1] * Chain [28,33]: 1*s(5)+1 Such that:s(5) =< V_N-V_i_1 with precondition: [B=3,V_N>=0,V_j_0>=0,V_N>=V_i_1+1,V_m>=V_j_0+1] * Chain [28,32]: 1*s(5)+1 Such that:s(5) =< V_N-V_i_1 with precondition: [B=3,V_N>=0,V_j_0>=0,V_N>=V_i_1+1,V_m>=V_j_0+2] * Chain [28,31]: 1*s(5)+1 Such that:s(5) =< -V_i_1+F with precondition: [B=4,V_m=V_j_0+1,V_m=E,V_N=F,V_m=G,V_N=H,V_N>=0,V_m>=1,C>=1,D>=1,V_N>=V_i_1+1] * Chain [28,30]: 1*s(5)+1 Such that:s(5) =< -V_i_1+H with precondition: [B=4,G=V_j_0+1,G=E,V_N=F,V_N=H,0>=D,V_N>=0,C>=1,G>=1,V_N>=V_i_1+1,V_m>=G+1] #### Cost of chains of eval_nestedLoop_bb1_in(V_11,V_14,V_4,V_7,V_9,V_N,V_i_0,V_i_1,V_j_0,V_k_0,V_m,V_n,B,C,D,E,F,G,H,I,J,K): * Chain [[46],57]: 1*it(46)+0 Such that:it(46) =< -V_i_0+V_n with precondition: [V_m=0,B=3,V_N>=0,V_i_0>=0,V_n>=V_i_0+1] * Chain [[46],56]: 1*it(46)+0 Such that:it(46) =< -V_i_0+V_n with precondition: [V_m=0,B=3,V_N>=0,V_i_0>=0,V_n>=V_i_0+2] * Chain [[46],48]: 1*it(46)+0 Such that:it(46) =< -V_i_0+D with precondition: [V_m=0,B=5,J=0,V_11=C,V_n=D,V_7=F,V_9=G,V_n=H,V_n=I+1,V_k_0=K,V_N>=0,V_i_0>=0,E>=1,V_n>=V_i_0+1] * Chain [[46],47]: 1*it(46)+0 Such that:it(46) =< -V_i_0+D with precondition: [V_m=0,B=5,J=0,V_11=C,V_7=F,V_9=G,D=H,D=I+1,V_k_0=K,0>=E,V_N>=0,V_i_0>=0,D>=V_i_0+1,V_n>=D+1] * Chain [[35,36,37,38,39,40,41,42,43,44,45],57]: 2*it(35)+2*it(37)+10*it(38)+3*it(41)+1*s(143)+1*s(144)+1*s(145)+1*s(150)+1*s(151)+1*s(152)+7*s(156)+1*s(157)+1*s(158)+1*s(159)+3*s(163)+1*s(164)+1*s(165)+1*s(166)+4*s(171)+2*s(172)+1*s(180)+1*s(181)+2*s(182)+0 Such that:aux(49) =< V_N-V_i_0 aux(50) =< V_N-V_i_0+1 aux(51) =< V_N-V_i_0+V_m+V_n aux(56) =< V_N/2-V_i_0/2 aux(58) =< -V_i_0+V_n aux(60) =< -V_i_0/2+V_n/2 aux(37) =< V_m aux(62) =< V_N-V_i_0+V_n aux(63) =< V_N/2-V_i_0/2+V_n/2 it(35) =< aux(49) it(37) =< aux(49) it(38) =< aux(49) s(148) =< aux(49) it(38) =< aux(50) s(162) =< aux(50) s(182) =< aux(50) it(35) =< aux(51) it(37) =< aux(51) it(38) =< aux(51) it(41) =< aux(51) it(35) =< aux(62) it(37) =< aux(62) it(38) =< aux(62) it(41) =< aux(62) s(148) =< aux(62) s(162) =< aux(62) s(182) =< aux(62) it(37) =< aux(56) it(38) =< aux(56) it(37) =< aux(63) it(38) =< aux(63) it(35) =< aux(58) it(37) =< aux(58) it(38) =< aux(58) it(41) =< aux(58) it(37) =< aux(60) it(38) =< aux(60) aux(40) =< aux(37) aux(38) =< aux(37)-1 aux(39) =< aux(49) s(147) =< it(35)*aux(37) s(149) =< it(35)*aux(49) s(181) =< it(41)*aux(40) s(180) =< it(41)*aux(38) s(168) =< it(38)*aux(40) s(167) =< it(38)*aux(38) s(160) =< it(37)*aux(38) s(161) =< it(37)*aux(40) s(153) =< it(35)*aux(40) s(155) =< it(35)*aux(39) s(146) =< it(35)*aux(38) s(156) =< s(162) s(171) =< s(168) s(172) =< s(162) s(172) =< s(168) s(163) =< s(148) s(164) =< s(167) s(165) =< s(148) s(165) =< s(168) s(166) =< s(168) s(165) =< s(167) s(166) =< s(167) s(157) =< s(160) s(158) =< s(162) s(158) =< s(161) s(159) =< s(161) s(158) =< s(160) s(159) =< s(160) s(150) =< s(155) s(151) =< s(155) s(150) =< s(148) s(151) =< s(148) s(150) =< s(153) s(152) =< s(153) s(143) =< s(149) s(144) =< s(149) s(143) =< s(148) s(144) =< s(148) s(143) =< s(147) s(145) =< s(147) s(143) =< s(146) s(145) =< s(146) with precondition: [B=3,V_N>=0,V_i_0>=0,V_m>=1,V_n>=V_i_0+1] * Chain [[35,36,37,38,39,40,41,42,43,44,45],56]: 2*it(35)+2*it(37)+10*it(38)+3*it(41)+1*s(143)+1*s(144)+1*s(145)+1*s(150)+1*s(151)+1*s(152)+7*s(156)+1*s(157)+1*s(158)+1*s(159)+3*s(163)+1*s(164)+1*s(165)+1*s(166)+4*s(171)+2*s(172)+1*s(180)+1*s(181)+2*s(182)+0 Such that:aux(49) =< V_N-V_i_0 aux(50) =< V_N-V_i_0+1 aux(51) =< V_N-V_i_0+V_m+V_n aux(53) =< V_N-V_i_0+V_n aux(56) =< V_N/2-V_i_0/2 aux(37) =< V_m aux(64) =< -V_i_0+V_n aux(65) =< -V_i_0/2+V_n/2 it(35) =< aux(49) it(37) =< aux(49) it(38) =< aux(49) s(148) =< aux(49) it(38) =< aux(50) s(162) =< aux(50) s(182) =< aux(50) it(35) =< aux(51) it(37) =< aux(51) it(38) =< aux(51) it(41) =< aux(51) it(35) =< aux(64) it(37) =< aux(64) it(38) =< aux(64) it(41) =< aux(64) it(35) =< aux(53) it(37) =< aux(53) it(38) =< aux(53) it(41) =< aux(53) s(148) =< aux(64) s(162) =< aux(64) s(182) =< aux(64) it(37) =< aux(56) it(38) =< aux(56) it(37) =< aux(65) it(38) =< aux(65) aux(40) =< aux(37) aux(38) =< aux(37)-1 aux(39) =< aux(49) s(147) =< it(35)*aux(37) s(149) =< it(35)*aux(49) s(181) =< it(41)*aux(40) s(180) =< it(41)*aux(38) s(168) =< it(38)*aux(40) s(167) =< it(38)*aux(38) s(160) =< it(37)*aux(38) s(161) =< it(37)*aux(40) s(153) =< it(35)*aux(40) s(155) =< it(35)*aux(39) s(146) =< it(35)*aux(38) s(156) =< s(162) s(171) =< s(168) s(172) =< s(162) s(172) =< s(168) s(163) =< s(148) s(164) =< s(167) s(165) =< s(148) s(165) =< s(168) s(166) =< s(168) s(165) =< s(167) s(166) =< s(167) s(157) =< s(160) s(158) =< s(162) s(158) =< s(161) s(159) =< s(161) s(158) =< s(160) s(159) =< s(160) s(150) =< s(155) s(151) =< s(155) s(150) =< s(148) s(151) =< s(148) s(150) =< s(153) s(152) =< s(153) s(143) =< s(149) s(144) =< s(149) s(143) =< s(148) s(144) =< s(148) s(143) =< s(147) s(145) =< s(147) s(143) =< s(146) s(145) =< s(146) with precondition: [B=3,V_N>=0,V_i_0>=0,V_m>=1,V_n>=V_i_0+2] * Chain [[35,36,37,38,39,40,41,42,43,44,45],55]: 2*it(35)+2*it(37)+10*it(38)+3*it(41)+1*s(143)+1*s(144)+1*s(145)+1*s(150)+1*s(151)+1*s(152)+7*s(156)+1*s(157)+1*s(158)+1*s(159)+3*s(163)+1*s(164)+1*s(165)+1*s(166)+4*s(171)+2*s(172)+1*s(180)+1*s(181)+2*s(182)+3*s(186)+1*s(187)+1*s(188)+1 Such that:aux(50) =< V_N-V_i_0+1 aux(51) =< V_N-V_i_0+V_m+V_n aux(53) =< V_N-V_i_0+V_n aux(56) =< V_N/2-V_i_0/2 aux(66) =< V_N-V_i_0 aux(67) =< -V_i_0+V_n aux(68) =< -V_i_0/2+V_n/2 aux(69) =< V_m aux(52) =< aux(66) aux(57) =< aux(66) aux(52) =< aux(67) aux(57) =< aux(68) s(186) =< aux(66) s(187) =< aux(66) s(187) =< aux(69) s(188) =< aux(69) it(35) =< aux(66) it(37) =< aux(66) it(38) =< aux(66) s(148) =< aux(66) it(38) =< aux(50) s(162) =< aux(50) s(182) =< aux(50) it(35) =< aux(51) it(37) =< aux(51) it(38) =< aux(51) it(41) =< aux(51) it(35) =< aux(52) it(37) =< aux(52) it(38) =< aux(52) it(41) =< aux(52) it(35) =< aux(53) it(37) =< aux(53) it(38) =< aux(53) it(41) =< aux(53) s(148) =< aux(52) s(162) =< aux(52) s(182) =< aux(52) it(37) =< aux(56) it(38) =< aux(56) it(37) =< aux(57) it(38) =< aux(57) it(35) =< aux(67) it(37) =< aux(67) it(38) =< aux(67) it(41) =< aux(67) it(37) =< aux(68) it(38) =< aux(68) aux(40) =< aux(69) aux(38) =< aux(69)-1 aux(39) =< aux(66) s(147) =< it(35)*aux(69) s(149) =< it(35)*aux(66) s(181) =< it(41)*aux(40) s(180) =< it(41)*aux(38) s(168) =< it(38)*aux(40) s(167) =< it(38)*aux(38) s(160) =< it(37)*aux(38) s(161) =< it(37)*aux(40) s(153) =< it(35)*aux(40) s(155) =< it(35)*aux(39) s(146) =< it(35)*aux(38) s(156) =< s(162) s(171) =< s(168) s(172) =< s(162) s(172) =< s(168) s(163) =< s(148) s(164) =< s(167) s(165) =< s(148) s(165) =< s(168) s(166) =< s(168) s(165) =< s(167) s(166) =< s(167) s(157) =< s(160) s(158) =< s(162) s(158) =< s(161) s(159) =< s(161) s(158) =< s(160) s(159) =< s(160) s(150) =< s(155) s(151) =< s(155) s(150) =< s(148) s(151) =< s(148) s(150) =< s(153) s(152) =< s(153) s(143) =< s(149) s(144) =< s(149) s(143) =< s(148) s(144) =< s(148) s(143) =< s(147) s(145) =< s(147) s(143) =< s(146) s(145) =< s(146) with precondition: [B=3,V_i_0>=0,V_m>=1,V_N>=V_i_0+2,V_n>=V_i_0+2] * Chain [[35,36,37,38,39,40,41,42,43,44,45],54]: 2*it(35)+2*it(37)+10*it(38)+3*it(41)+1*s(143)+1*s(144)+1*s(145)+1*s(150)+1*s(151)+1*s(152)+7*s(156)+1*s(157)+1*s(158)+1*s(159)+3*s(163)+1*s(164)+1*s(165)+1*s(166)+4*s(171)+2*s(172)+1*s(180)+1*s(181)+2*s(182)+0 Such that:aux(49) =< V_N-V_i_0 aux(50) =< V_N-V_i_0+1 aux(51) =< V_N-V_i_0+V_m+V_n aux(53) =< V_N-V_i_0+V_n aux(56) =< V_N/2-V_i_0/2 aux(37) =< V_m aux(70) =< -V_i_0+V_n aux(71) =< -V_i_0/2+V_n/2 it(35) =< aux(49) it(37) =< aux(49) it(38) =< aux(49) s(148) =< aux(49) it(38) =< aux(50) s(162) =< aux(50) s(182) =< aux(50) it(35) =< aux(51) it(37) =< aux(51) it(38) =< aux(51) it(41) =< aux(51) it(35) =< aux(70) it(37) =< aux(70) it(38) =< aux(70) it(41) =< aux(70) it(35) =< aux(53) it(37) =< aux(53) it(38) =< aux(53) it(41) =< aux(53) s(148) =< aux(70) s(162) =< aux(70) s(182) =< aux(70) it(37) =< aux(56) it(38) =< aux(56) it(37) =< aux(71) it(38) =< aux(71) aux(40) =< aux(37) aux(38) =< aux(37)-1 aux(39) =< aux(49) s(147) =< it(35)*aux(37) s(149) =< it(35)*aux(49) s(181) =< it(41)*aux(40) s(180) =< it(41)*aux(38) s(168) =< it(38)*aux(40) s(167) =< it(38)*aux(38) s(160) =< it(37)*aux(38) s(161) =< it(37)*aux(40) s(153) =< it(35)*aux(40) s(155) =< it(35)*aux(39) s(146) =< it(35)*aux(38) s(156) =< s(162) s(171) =< s(168) s(172) =< s(162) s(172) =< s(168) s(163) =< s(148) s(164) =< s(167) s(165) =< s(148) s(165) =< s(168) s(166) =< s(168) s(165) =< s(167) s(166) =< s(167) s(157) =< s(160) s(158) =< s(162) s(158) =< s(161) s(159) =< s(161) s(158) =< s(160) s(159) =< s(160) s(150) =< s(155) s(151) =< s(155) s(150) =< s(148) s(151) =< s(148) s(150) =< s(153) s(152) =< s(153) s(143) =< s(149) s(144) =< s(149) s(143) =< s(148) s(144) =< s(148) s(143) =< s(147) s(145) =< s(147) s(143) =< s(146) s(145) =< s(146) with precondition: [B=3,V_N>=0,V_i_0>=0,V_m>=1,V_n>=V_i_0+2] * Chain [[35,36,37,38,39,40,41,42,43,44,45],53]: 2*it(35)+2*it(37)+10*it(38)+3*it(41)+1*s(143)+1*s(144)+1*s(145)+1*s(150)+1*s(151)+1*s(152)+7*s(156)+1*s(157)+1*s(158)+1*s(159)+3*s(163)+1*s(164)+1*s(165)+1*s(166)+4*s(171)+2*s(172)+1*s(180)+1*s(181)+2*s(182)+1*s(189)+0 Such that:aux(49) =< V_N-V_i_0 aux(50) =< V_N-V_i_0+1 aux(51) =< V_N-V_i_0+V_m+V_n aux(53) =< V_N-V_i_0+V_n aux(56) =< V_N/2-V_i_0/2 aux(72) =< -V_i_0+V_n aux(73) =< -V_i_0/2+V_n/2 aux(74) =< V_m s(189) =< aux(74) it(35) =< aux(49) it(37) =< aux(49) it(38) =< aux(49) s(148) =< aux(49) it(38) =< aux(50) s(162) =< aux(50) s(182) =< aux(50) it(35) =< aux(51) it(37) =< aux(51) it(38) =< aux(51) it(41) =< aux(51) it(35) =< aux(72) it(37) =< aux(72) it(38) =< aux(72) it(41) =< aux(72) it(35) =< aux(53) it(37) =< aux(53) it(38) =< aux(53) it(41) =< aux(53) s(148) =< aux(72) s(162) =< aux(72) s(182) =< aux(72) it(37) =< aux(56) it(38) =< aux(56) it(37) =< aux(73) it(38) =< aux(73) aux(40) =< aux(74) aux(38) =< aux(74)-1 aux(39) =< aux(49) s(147) =< it(35)*aux(74) s(149) =< it(35)*aux(49) s(181) =< it(41)*aux(40) s(180) =< it(41)*aux(38) s(168) =< it(38)*aux(40) s(167) =< it(38)*aux(38) s(160) =< it(37)*aux(38) s(161) =< it(37)*aux(40) s(153) =< it(35)*aux(40) s(155) =< it(35)*aux(39) s(146) =< it(35)*aux(38) s(156) =< s(162) s(171) =< s(168) s(172) =< s(162) s(172) =< s(168) s(163) =< s(148) s(164) =< s(167) s(165) =< s(148) s(165) =< s(168) s(166) =< s(168) s(165) =< s(167) s(166) =< s(167) s(157) =< s(160) s(158) =< s(162) s(158) =< s(161) s(159) =< s(161) s(158) =< s(160) s(159) =< s(160) s(150) =< s(155) s(151) =< s(155) s(150) =< s(148) s(151) =< s(148) s(150) =< s(153) s(152) =< s(153) s(143) =< s(149) s(144) =< s(149) s(143) =< s(148) s(144) =< s(148) s(143) =< s(147) s(145) =< s(147) s(143) =< s(146) s(145) =< s(146) with precondition: [B=3,V_N>=0,V_i_0>=0,V_m>=1,V_n>=V_N+1,V_n>=V_i_0+2] * Chain [[35,36,37,38,39,40,41,42,43,44,45],52]: 2*it(35)+2*it(37)+10*it(38)+3*it(41)+1*s(143)+1*s(144)+1*s(145)+1*s(150)+1*s(151)+1*s(152)+7*s(156)+1*s(157)+1*s(158)+1*s(159)+3*s(163)+1*s(164)+1*s(165)+1*s(166)+4*s(171)+2*s(172)+1*s(180)+1*s(181)+2*s(182)+7*s(192)+4*s(193)+3*s(194)+1 Such that:aux(50) =< V_N-V_i_0+1 aux(51) =< V_N-V_i_0+V_m+V_n aux(53) =< V_N-V_i_0+V_n aux(56) =< V_N/2-V_i_0/2 aux(75) =< V_N-V_i_0 aux(76) =< -V_i_0+V_n aux(77) =< -V_i_0/2+V_n/2 aux(78) =< V_m aux(52) =< aux(75) aux(57) =< aux(75) aux(52) =< aux(76) aux(57) =< aux(77) s(192) =< aux(75) s(193) =< aux(78) s(194) =< aux(75) s(194) =< aux(78) it(35) =< aux(75) it(37) =< aux(75) it(38) =< aux(75) s(148) =< aux(75) it(38) =< aux(50) s(162) =< aux(50) s(182) =< aux(50) it(35) =< aux(51) it(37) =< aux(51) it(38) =< aux(51) it(41) =< aux(51) it(35) =< aux(52) it(37) =< aux(52) it(38) =< aux(52) it(41) =< aux(52) it(35) =< aux(53) it(37) =< aux(53) it(38) =< aux(53) it(41) =< aux(53) s(148) =< aux(52) s(162) =< aux(52) s(182) =< aux(52) it(37) =< aux(56) it(38) =< aux(56) it(37) =< aux(57) it(38) =< aux(57) it(35) =< aux(76) it(37) =< aux(76) it(38) =< aux(76) it(41) =< aux(76) it(37) =< aux(77) it(38) =< aux(77) aux(40) =< aux(78) aux(38) =< aux(78)-1 aux(39) =< aux(75) s(147) =< it(35)*aux(78) s(149) =< it(35)*aux(75) s(181) =< it(41)*aux(40) s(180) =< it(41)*aux(38) s(168) =< it(38)*aux(40) s(167) =< it(38)*aux(38) s(160) =< it(37)*aux(38) s(161) =< it(37)*aux(40) s(153) =< it(35)*aux(40) s(155) =< it(35)*aux(39) s(146) =< it(35)*aux(38) s(156) =< s(162) s(171) =< s(168) s(172) =< s(162) s(172) =< s(168) s(163) =< s(148) s(164) =< s(167) s(165) =< s(148) s(165) =< s(168) s(166) =< s(168) s(165) =< s(167) s(166) =< s(167) s(157) =< s(160) s(158) =< s(162) s(158) =< s(161) s(159) =< s(161) s(158) =< s(160) s(159) =< s(160) s(150) =< s(155) s(151) =< s(155) s(150) =< s(148) s(151) =< s(148) s(150) =< s(153) s(152) =< s(153) s(143) =< s(149) s(144) =< s(149) s(143) =< s(148) s(144) =< s(148) s(143) =< s(147) s(145) =< s(147) s(143) =< s(146) s(145) =< s(146) with precondition: [B=3,V_i_0>=0,V_m>=2,V_N>=V_i_0+2,V_n>=V_i_0+2] * Chain [[35,36,37,38,39,40,41,42,43,44,45],51]: 2*it(35)+2*it(37)+10*it(38)+3*it(41)+1*s(143)+1*s(144)+1*s(145)+1*s(150)+1*s(151)+1*s(152)+7*s(156)+1*s(157)+1*s(158)+1*s(159)+3*s(163)+1*s(164)+1*s(165)+1*s(166)+4*s(171)+2*s(172)+1*s(180)+1*s(181)+2*s(182)+1*s(195)+0 Such that:aux(49) =< V_N-V_i_0 aux(50) =< V_N-V_i_0+1 aux(51) =< V_N-V_i_0+V_m+V_n aux(53) =< V_N-V_i_0+V_n aux(56) =< V_N/2-V_i_0/2 aux(79) =< -V_i_0+V_n aux(80) =< -V_i_0/2+V_n/2 aux(81) =< V_m s(195) =< aux(81) it(35) =< aux(49) it(37) =< aux(49) it(38) =< aux(49) s(148) =< aux(49) it(38) =< aux(50) s(162) =< aux(50) s(182) =< aux(50) it(35) =< aux(51) it(37) =< aux(51) it(38) =< aux(51) it(41) =< aux(51) it(35) =< aux(79) it(37) =< aux(79) it(38) =< aux(79) it(41) =< aux(79) it(35) =< aux(53) it(37) =< aux(53) it(38) =< aux(53) it(41) =< aux(53) s(148) =< aux(79) s(162) =< aux(79) s(182) =< aux(79) it(37) =< aux(56) it(38) =< aux(56) it(37) =< aux(80) it(38) =< aux(80) aux(40) =< aux(81) aux(38) =< aux(81)-1 aux(39) =< aux(49) s(147) =< it(35)*aux(81) s(149) =< it(35)*aux(49) s(181) =< it(41)*aux(40) s(180) =< it(41)*aux(38) s(168) =< it(38)*aux(40) s(167) =< it(38)*aux(38) s(160) =< it(37)*aux(38) s(161) =< it(37)*aux(40) s(153) =< it(35)*aux(40) s(155) =< it(35)*aux(39) s(146) =< it(35)*aux(38) s(156) =< s(162) s(171) =< s(168) s(172) =< s(162) s(172) =< s(168) s(163) =< s(148) s(164) =< s(167) s(165) =< s(148) s(165) =< s(168) s(166) =< s(168) s(165) =< s(167) s(166) =< s(167) s(157) =< s(160) s(158) =< s(162) s(158) =< s(161) s(159) =< s(161) s(158) =< s(160) s(159) =< s(160) s(150) =< s(155) s(151) =< s(155) s(150) =< s(148) s(151) =< s(148) s(150) =< s(153) s(152) =< s(153) s(143) =< s(149) s(144) =< s(149) s(143) =< s(148) s(144) =< s(148) s(143) =< s(147) s(145) =< s(147) s(143) =< s(146) s(145) =< s(146) with precondition: [B=3,V_N>=0,V_i_0>=0,V_m>=2,V_n>=V_N+1,V_n>=V_i_0+2] * Chain [[35,36,37,38,39,40,41,42,43,44,45],50]: 2*it(35)+2*it(37)+10*it(38)+3*it(41)+1*s(143)+1*s(144)+1*s(145)+1*s(150)+1*s(151)+1*s(152)+7*s(156)+1*s(157)+1*s(158)+1*s(159)+3*s(163)+1*s(164)+1*s(165)+1*s(166)+4*s(171)+2*s(172)+1*s(180)+1*s(181)+2*s(182)+5*s(198)+4*s(199)+2*s(200)+1 Such that:aux(50) =< V_N-V_i_0+1 aux(51) =< V_N-V_i_0+V_m+V_n aux(53) =< V_N-V_i_0+V_n aux(56) =< V_N/2-V_i_0/2 aux(82) =< V_N-V_i_0 aux(83) =< -V_i_0+V_n aux(84) =< -V_i_0/2+V_n/2 aux(85) =< V_m aux(52) =< aux(82) aux(57) =< aux(82) aux(52) =< aux(83) aux(57) =< aux(84) s(198) =< aux(82) s(199) =< aux(85) s(200) =< aux(82) s(200) =< aux(85) it(35) =< aux(82) it(37) =< aux(82) it(38) =< aux(82) s(148) =< aux(82) it(38) =< aux(50) s(162) =< aux(50) s(182) =< aux(50) it(35) =< aux(51) it(37) =< aux(51) it(38) =< aux(51) it(41) =< aux(51) it(35) =< aux(52) it(37) =< aux(52) it(38) =< aux(52) it(41) =< aux(52) it(35) =< aux(53) it(37) =< aux(53) it(38) =< aux(53) it(41) =< aux(53) s(148) =< aux(52) s(162) =< aux(52) s(182) =< aux(52) it(37) =< aux(56) it(38) =< aux(56) it(37) =< aux(57) it(38) =< aux(57) it(35) =< aux(83) it(37) =< aux(83) it(38) =< aux(83) it(41) =< aux(83) it(37) =< aux(84) it(38) =< aux(84) aux(40) =< aux(85) aux(38) =< aux(85)-1 aux(39) =< aux(82) s(147) =< it(35)*aux(85) s(149) =< it(35)*aux(82) s(181) =< it(41)*aux(40) s(180) =< it(41)*aux(38) s(168) =< it(38)*aux(40) s(167) =< it(38)*aux(38) s(160) =< it(37)*aux(38) s(161) =< it(37)*aux(40) s(153) =< it(35)*aux(40) s(155) =< it(35)*aux(39) s(146) =< it(35)*aux(38) s(156) =< s(162) s(171) =< s(168) s(172) =< s(162) s(172) =< s(168) s(163) =< s(148) s(164) =< s(167) s(165) =< s(148) s(165) =< s(168) s(166) =< s(168) s(165) =< s(167) s(166) =< s(167) s(157) =< s(160) s(158) =< s(162) s(158) =< s(161) s(159) =< s(161) s(158) =< s(160) s(159) =< s(160) s(150) =< s(155) s(151) =< s(155) s(150) =< s(148) s(151) =< s(148) s(150) =< s(153) s(152) =< s(153) s(143) =< s(149) s(144) =< s(149) s(143) =< s(148) s(144) =< s(148) s(143) =< s(147) s(145) =< s(147) s(143) =< s(146) s(145) =< s(146) with precondition: [B=3,V_i_0>=0,V_m>=3,V_N>=V_i_0+2,V_n>=V_i_0+2] * Chain [[35,36,37,38,39,40,41,42,43,44,45],49]: 2*it(35)+2*it(37)+10*it(38)+3*it(41)+1*s(143)+1*s(144)+1*s(145)+1*s(150)+1*s(151)+1*s(152)+7*s(156)+1*s(157)+1*s(158)+1*s(159)+3*s(163)+1*s(164)+1*s(165)+1*s(166)+4*s(171)+2*s(172)+1*s(180)+1*s(181)+2*s(182)+2*s(203)+2*s(204)+1*s(205)+1 Such that:aux(50) =< V_N-V_i_0+1 aux(51) =< V_N-V_i_0+V_m+V_n aux(53) =< V_N-V_i_0+V_n aux(56) =< V_N/2-V_i_0/2 aux(86) =< V_N-V_i_0 aux(87) =< -V_i_0+V_n aux(88) =< -V_i_0/2+V_n/2 aux(89) =< V_m aux(52) =< aux(86) aux(57) =< aux(86) aux(52) =< aux(87) aux(57) =< aux(88) s(203) =< aux(86) s(204) =< aux(89) s(205) =< aux(86) s(205) =< aux(89) it(35) =< aux(86) it(37) =< aux(86) it(38) =< aux(86) s(148) =< aux(86) it(38) =< aux(50) s(162) =< aux(50) s(182) =< aux(50) it(35) =< aux(51) it(37) =< aux(51) it(38) =< aux(51) it(41) =< aux(51) it(35) =< aux(52) it(37) =< aux(52) it(38) =< aux(52) it(41) =< aux(52) it(35) =< aux(53) it(37) =< aux(53) it(38) =< aux(53) it(41) =< aux(53) s(148) =< aux(52) s(162) =< aux(52) s(182) =< aux(52) it(37) =< aux(56) it(38) =< aux(56) it(37) =< aux(57) it(38) =< aux(57) it(35) =< aux(87) it(37) =< aux(87) it(38) =< aux(87) it(41) =< aux(87) it(37) =< aux(88) it(38) =< aux(88) aux(40) =< aux(89) aux(38) =< aux(89)-1 aux(39) =< aux(86) s(147) =< it(35)*aux(89) s(149) =< it(35)*aux(86) s(181) =< it(41)*aux(40) s(180) =< it(41)*aux(38) s(168) =< it(38)*aux(40) s(167) =< it(38)*aux(38) s(160) =< it(37)*aux(38) s(161) =< it(37)*aux(40) s(153) =< it(35)*aux(40) s(155) =< it(35)*aux(39) s(146) =< it(35)*aux(38) s(156) =< s(162) s(171) =< s(168) s(172) =< s(162) s(172) =< s(168) s(163) =< s(148) s(164) =< s(167) s(165) =< s(148) s(165) =< s(168) s(166) =< s(168) s(165) =< s(167) s(166) =< s(167) s(157) =< s(160) s(158) =< s(162) s(158) =< s(161) s(159) =< s(161) s(158) =< s(160) s(159) =< s(160) s(150) =< s(155) s(151) =< s(155) s(150) =< s(148) s(151) =< s(148) s(150) =< s(153) s(152) =< s(153) s(143) =< s(149) s(144) =< s(149) s(143) =< s(148) s(144) =< s(148) s(143) =< s(147) s(145) =< s(147) s(143) =< s(146) s(145) =< s(146) with precondition: [B=3,V_i_0>=0,V_m>=4,V_N>=V_i_0+2,V_n>=V_i_0+2] * Chain [[35,36,37,38,39,40,41,42,43,44,45],48]: 2*it(35)+2*it(37)+10*it(38)+3*it(41)+1*s(143)+1*s(144)+1*s(145)+1*s(150)+1*s(151)+1*s(152)+7*s(156)+1*s(157)+1*s(158)+1*s(159)+3*s(163)+1*s(164)+1*s(165)+1*s(166)+4*s(171)+2*s(172)+1*s(180)+1*s(181)+2*s(182)+0 Such that:aux(49) =< V_N-V_i_0 aux(50) =< V_N-V_i_0+1 aux(51) =< V_N-V_i_0+V_m+V_n aux(53) =< V_N-V_i_0+V_n aux(56) =< V_N/2-V_i_0/2 aux(58) =< -V_i_0+V_n aux(60) =< -V_i_0/2+V_n/2 aux(37) =< V_m aux(90) =< -V_i_0+I+1 aux(91) =< -V_i_0/2+I/2+1/2 it(35) =< aux(49) it(37) =< aux(49) it(38) =< aux(49) s(148) =< aux(49) it(38) =< aux(50) s(162) =< aux(50) s(182) =< aux(50) it(35) =< aux(51) it(37) =< aux(51) it(38) =< aux(51) it(41) =< aux(51) it(35) =< aux(90) it(37) =< aux(90) it(38) =< aux(90) it(41) =< aux(90) it(35) =< aux(53) it(37) =< aux(53) it(38) =< aux(53) it(41) =< aux(53) s(148) =< aux(90) s(162) =< aux(90) s(182) =< aux(90) it(37) =< aux(56) it(38) =< aux(56) it(37) =< aux(91) it(38) =< aux(91) it(35) =< aux(58) it(37) =< aux(58) it(38) =< aux(58) it(41) =< aux(58) it(37) =< aux(60) it(38) =< aux(60) aux(40) =< aux(37) aux(38) =< aux(37)-1 aux(39) =< aux(49) s(147) =< it(35)*aux(37) s(149) =< it(35)*aux(49) s(181) =< it(41)*aux(40) s(180) =< it(41)*aux(38) s(168) =< it(38)*aux(40) s(167) =< it(38)*aux(38) s(160) =< it(37)*aux(38) s(161) =< it(37)*aux(40) s(153) =< it(35)*aux(40) s(155) =< it(35)*aux(39) s(146) =< it(35)*aux(38) s(156) =< s(162) s(171) =< s(168) s(172) =< s(162) s(172) =< s(168) s(163) =< s(148) s(164) =< s(167) s(165) =< s(148) s(165) =< s(168) s(166) =< s(168) s(165) =< s(167) s(166) =< s(167) s(157) =< s(160) s(158) =< s(162) s(158) =< s(161) s(159) =< s(161) s(158) =< s(160) s(159) =< s(160) s(150) =< s(155) s(151) =< s(155) s(150) =< s(148) s(151) =< s(148) s(150) =< s(153) s(152) =< s(153) s(143) =< s(149) s(144) =< s(149) s(143) =< s(148) s(144) =< s(148) s(143) =< s(147) s(145) =< s(147) s(143) =< s(146) s(145) =< s(146) with precondition: [B=5,D=H,D=I+1,V_i_0>=0,V_m>=1,E>=1,J>=0,V_n>=V_i_0+1,D>=V_n,V_m>=J,V_N+V_n>=D] * Chain [[35,36,37,38,39,40,41,42,43,44,45],47]: 2*it(35)+2*it(37)+10*it(38)+3*it(41)+1*s(143)+1*s(144)+1*s(145)+1*s(150)+1*s(151)+1*s(152)+7*s(156)+1*s(157)+1*s(158)+1*s(159)+3*s(163)+1*s(164)+1*s(165)+1*s(166)+4*s(171)+2*s(172)+1*s(180)+1*s(181)+2*s(182)+0 Such that:aux(49) =< V_N-V_i_0 aux(50) =< V_N-V_i_0+1 aux(51) =< V_N-V_i_0+V_m+V_n aux(53) =< V_N-V_i_0+V_n aux(56) =< V_N/2-V_i_0/2 aux(58) =< -V_i_0+V_n aux(60) =< -V_i_0/2+V_n/2 aux(37) =< V_m aux(92) =< -V_i_0+I+1 aux(93) =< -V_i_0/2+I/2+1/2 it(35) =< aux(49) it(37) =< aux(49) it(38) =< aux(49) s(148) =< aux(49) it(38) =< aux(50) s(162) =< aux(50) s(182) =< aux(50) it(35) =< aux(51) it(37) =< aux(51) it(38) =< aux(51) it(41) =< aux(51) it(35) =< aux(92) it(37) =< aux(92) it(38) =< aux(92) it(41) =< aux(92) it(35) =< aux(53) it(37) =< aux(53) it(38) =< aux(53) it(41) =< aux(53) s(148) =< aux(92) s(162) =< aux(92) s(182) =< aux(92) it(37) =< aux(56) it(38) =< aux(56) it(37) =< aux(93) it(38) =< aux(93) it(35) =< aux(58) it(37) =< aux(58) it(38) =< aux(58) it(41) =< aux(58) it(37) =< aux(60) it(38) =< aux(60) aux(40) =< aux(37) aux(38) =< aux(37)-1 aux(39) =< aux(49) s(147) =< it(35)*aux(37) s(149) =< it(35)*aux(49) s(181) =< it(41)*aux(40) s(180) =< it(41)*aux(38) s(168) =< it(38)*aux(40) s(167) =< it(38)*aux(38) s(160) =< it(37)*aux(38) s(161) =< it(37)*aux(40) s(153) =< it(35)*aux(40) s(155) =< it(35)*aux(39) s(146) =< it(35)*aux(38) s(156) =< s(162) s(171) =< s(168) s(172) =< s(162) s(172) =< s(168) s(163) =< s(148) s(164) =< s(167) s(165) =< s(148) s(165) =< s(168) s(166) =< s(168) s(165) =< s(167) s(166) =< s(167) s(157) =< s(160) s(158) =< s(162) s(158) =< s(161) s(159) =< s(161) s(158) =< s(160) s(159) =< s(160) s(150) =< s(155) s(151) =< s(155) s(150) =< s(148) s(151) =< s(148) s(150) =< s(153) s(152) =< s(153) s(143) =< s(149) s(144) =< s(149) s(143) =< s(148) s(144) =< s(148) s(143) =< s(147) s(145) =< s(147) s(143) =< s(146) s(145) =< s(146) with precondition: [B=5,D=H,D=I+1,0>=E,V_N>=0,V_i_0>=0,V_m>=1,J>=0,D>=V_i_0+1,V_n>=D+1,V_m>=J] * Chain [57]: 0 with precondition: [B=3,V_N>=0,V_i_0>=0,V_m>=0,V_n>=0,V_N+V_n>=V_i_0] * Chain [56]: 0 with precondition: [B=3,V_N>=0,V_i_0>=0,V_m>=0,V_n>=V_i_0+1] * Chain [55]: 3*s(186)+1*s(187)+1*s(188)+1 Such that:s(185) =< V_N-V_i_0 s(184) =< V_m s(186) =< s(185) s(187) =< s(185) s(187) =< s(184) s(188) =< s(184) with precondition: [B=3,V_i_0>=0,V_m>=1,V_N>=V_i_0+1,V_n>=V_i_0+1] * Chain [54]: 0 with precondition: [B=3,V_N>=0,V_i_0>=0,V_m>=1,V_n>=V_i_0+1] * Chain [53]: 1*s(189)+0 Such that:s(189) =< V_m with precondition: [B=3,V_N>=0,V_m>=1,V_i_0>=V_N,V_n>=V_i_0+1] * Chain [52]: 7*s(192)+4*s(193)+3*s(194)+1 Such that:s(190) =< V_N-V_i_0 s(191) =< V_m s(192) =< s(190) s(193) =< s(191) s(194) =< s(190) s(194) =< s(191) with precondition: [B=3,V_i_0>=0,V_m>=2,V_N>=V_i_0+1,V_n>=V_i_0+1] * Chain [51]: 1*s(195)+0 Such that:s(195) =< V_m with precondition: [B=3,V_N>=0,V_m>=2,V_i_0>=V_N,V_n>=V_i_0+1] * Chain [50]: 5*s(198)+4*s(199)+2*s(200)+1 Such that:s(196) =< V_N-V_i_0 s(197) =< V_m s(198) =< s(196) s(199) =< s(197) s(200) =< s(196) s(200) =< s(197) with precondition: [B=3,V_i_0>=0,V_m>=3,V_N>=V_i_0+1,V_n>=V_i_0+1] * Chain [49]: 2*s(203)+2*s(204)+1*s(205)+1 Such that:s(201) =< V_N-V_i_0 s(202) =< V_m s(203) =< s(201) s(204) =< s(202) s(205) =< s(201) s(205) =< s(202) with precondition: [B=3,V_i_0>=0,V_m>=4,V_N>=V_i_0+1,V_n>=V_i_0+1] * Chain [48]: 0 with precondition: [B=5,C=V_11,D=V_14,E=V_4,F=V_7,G=V_9,I=V_i_1,J=V_j_0,K=V_k_0,V_i_0=H,V_m>=0,V_n>=0,V_i_0>=V_n,V_N+V_n>=V_i_0] * Chain [47]: 0 with precondition: [B=5,C=V_11,D=V_14,F=V_7,G=V_9,I=V_i_1,J=V_j_0,K=V_k_0,V_i_0=H,0>=E,V_N>=0,V_i_0>=0,V_m>=0,V_n>=V_i_0+1] #### Cost of chains of eval_nestedLoop_bb1_in_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N): * Chain [59]: 0 with precondition: [A=3,G>=0,L>=0,M>=0] * Chain [58]: 0 with precondition: [A=5,G>=0,L>=0,M>=0] #### Cost of chains of eval_nestedLoop_3(V_11,V_14,V_4,V_7,V_9,V_N,V_i_0,V_i_1,V_j_0,V_k_0,V_m,V_n,B): * Chain [81]: 1*s(342)+0 Such that:s(342) =< V_m with precondition: [V_N=0,V_m>=1,V_n>=1] * Chain [80]: 1*s(343)+0 Such that:s(343) =< V_m with precondition: [V_N=0,V_m>=2,V_n>=1] * Chain [79]: 2*s(344)+0 Such that:aux(102) =< V_n s(344) =< aux(102) with precondition: [V_m=0,V_N>=0,V_n>=1] * Chain [78]: 2*s(346)+0 Such that:aux(103) =< V_n s(346) =< aux(103) with precondition: [V_m=0,V_N>=0,V_n>=2] * Chain [77]: 0 with precondition: [V_n=0,V_N>=0,V_m>=0] * Chain [76]: 0 with precondition: [0>=V_N+1] * Chain [75]: 0 with precondition: [0>=V_m+1] * Chain [74]: 0 with precondition: [0>=V_n+1] * Chain [73]: 0 with precondition: [V_N>=0,V_m>=0,V_n>=0] * Chain [72]: 0 with precondition: [V_N>=0,V_m>=0,V_n>=1] * Chain [71]: 4*s(357)+4*s(358)+20*s(359)+4*s(362)+6*s(363)+2*s(369)+2*s(370)+14*s(378)+8*s(379)+4*s(380)+6*s(381)+2*s(382)+2*s(383)+2*s(384)+2*s(385)+2*s(386)+2*s(387)+2*s(388)+2*s(389)+2*s(390)+2*s(391)+2*s(392)+2*s(393)+0 Such that:aux(105) =< V_N aux(106) =< V_N+1 aux(107) =< V_N+V_m+V_n aux(108) =< V_N+V_n aux(109) =< V_N/2 aux(110) =< V_N/2+V_n/2 aux(111) =< V_m aux(112) =< V_n aux(113) =< V_n/2 s(357) =< aux(105) s(358) =< aux(105) s(359) =< aux(105) s(360) =< aux(105) s(359) =< aux(106) s(361) =< aux(106) s(362) =< aux(106) s(357) =< aux(107) s(358) =< aux(107) s(359) =< aux(107) s(363) =< aux(107) s(357) =< aux(108) s(358) =< aux(108) s(359) =< aux(108) s(363) =< aux(108) s(360) =< aux(108) s(361) =< aux(108) s(362) =< aux(108) s(358) =< aux(109) s(359) =< aux(109) s(358) =< aux(110) s(359) =< aux(110) s(357) =< aux(112) s(358) =< aux(112) s(359) =< aux(112) s(363) =< aux(112) s(358) =< aux(113) s(359) =< aux(113) s(364) =< aux(111) s(365) =< aux(111)-1 s(366) =< aux(105) s(367) =< s(357)*aux(111) s(368) =< s(357)*aux(105) s(369) =< s(363)*s(364) s(370) =< s(363)*s(365) s(371) =< s(359)*s(364) s(372) =< s(359)*s(365) s(373) =< s(358)*s(365) s(374) =< s(358)*s(364) s(375) =< s(357)*s(364) s(376) =< s(357)*s(366) s(377) =< s(357)*s(365) s(378) =< s(361) s(379) =< s(371) s(380) =< s(361) s(380) =< s(371) s(381) =< s(360) s(382) =< s(372) s(383) =< s(360) s(383) =< s(371) s(384) =< s(371) s(383) =< s(372) s(384) =< s(372) s(385) =< s(373) s(386) =< s(361) s(386) =< s(374) s(387) =< s(374) s(386) =< s(373) s(387) =< s(373) s(388) =< s(376) s(389) =< s(376) s(388) =< s(360) s(389) =< s(360) s(388) =< s(375) s(390) =< s(375) s(391) =< s(368) s(392) =< s(368) s(391) =< s(360) s(392) =< s(360) s(391) =< s(367) s(393) =< s(367) s(391) =< s(377) s(393) =< s(377) with precondition: [V_N>=0,V_m>=1,V_n>=1] * Chain [70]: 6*s(449)+6*s(450)+30*s(451)+6*s(454)+9*s(455)+3*s(461)+3*s(462)+21*s(470)+12*s(471)+6*s(472)+9*s(473)+3*s(474)+3*s(475)+3*s(476)+3*s(477)+3*s(478)+3*s(479)+3*s(480)+3*s(481)+3*s(482)+3*s(483)+3*s(484)+3*s(485)+0 Such that:aux(116) =< V_N aux(117) =< V_N+1 aux(118) =< V_N+V_m+V_n aux(119) =< V_N+V_n aux(120) =< V_N/2 aux(121) =< V_m aux(122) =< V_n aux(123) =< V_n/2 s(449) =< aux(116) s(450) =< aux(116) s(451) =< aux(116) s(452) =< aux(116) s(451) =< aux(117) s(453) =< aux(117) s(454) =< aux(117) s(449) =< aux(118) s(450) =< aux(118) s(451) =< aux(118) s(455) =< aux(118) s(449) =< aux(122) s(450) =< aux(122) s(451) =< aux(122) s(455) =< aux(122) s(449) =< aux(119) s(450) =< aux(119) s(451) =< aux(119) s(455) =< aux(119) s(452) =< aux(122) s(453) =< aux(122) s(454) =< aux(122) s(450) =< aux(120) s(451) =< aux(120) s(450) =< aux(123) s(451) =< aux(123) s(456) =< aux(121) s(457) =< aux(121)-1 s(458) =< aux(116) s(459) =< s(449)*aux(121) s(460) =< s(449)*aux(116) s(461) =< s(455)*s(456) s(462) =< s(455)*s(457) s(463) =< s(451)*s(456) s(464) =< s(451)*s(457) s(465) =< s(450)*s(457) s(466) =< s(450)*s(456) s(467) =< s(449)*s(456) s(468) =< s(449)*s(458) s(469) =< s(449)*s(457) s(470) =< s(453) s(471) =< s(463) s(472) =< s(453) s(472) =< s(463) s(473) =< s(452) s(474) =< s(464) s(475) =< s(452) s(475) =< s(463) s(476) =< s(463) s(475) =< s(464) s(476) =< s(464) s(477) =< s(465) s(478) =< s(453) s(478) =< s(466) s(479) =< s(466) s(478) =< s(465) s(479) =< s(465) s(480) =< s(468) s(481) =< s(468) s(480) =< s(452) s(481) =< s(452) s(480) =< s(467) s(482) =< s(467) s(483) =< s(460) s(484) =< s(460) s(483) =< s(452) s(484) =< s(452) s(483) =< s(459) s(485) =< s(459) s(483) =< s(469) s(485) =< s(469) with precondition: [V_N>=0,V_m>=1,V_n>=2] * Chain [69]: 1*s(541)+2*s(542)+2*s(543)+10*s(544)+2*s(547)+3*s(548)+1*s(554)+1*s(555)+7*s(563)+4*s(564)+2*s(565)+3*s(566)+1*s(567)+1*s(568)+1*s(569)+1*s(570)+1*s(571)+1*s(572)+1*s(573)+1*s(574)+1*s(575)+1*s(576)+1*s(577)+1*s(578)+0 Such that:s(533) =< V_N s(534) =< V_N+1 s(535) =< V_N+V_m+V_n s(536) =< V_N+V_n s(537) =< V_N/2 s(540) =< V_m s(538) =< V_n s(539) =< V_n/2 s(541) =< s(540) s(542) =< s(533) s(543) =< s(533) s(544) =< s(533) s(545) =< s(533) s(544) =< s(534) s(546) =< s(534) s(547) =< s(534) s(542) =< s(535) s(543) =< s(535) s(544) =< s(535) s(548) =< s(535) s(542) =< s(538) s(543) =< s(538) s(544) =< s(538) s(548) =< s(538) s(542) =< s(536) s(543) =< s(536) s(544) =< s(536) s(548) =< s(536) s(545) =< s(538) s(546) =< s(538) s(547) =< s(538) s(543) =< s(537) s(544) =< s(537) s(543) =< s(539) s(544) =< s(539) s(549) =< s(540) s(550) =< s(540)-1 s(551) =< s(533) s(552) =< s(542)*s(540) s(553) =< s(542)*s(533) s(554) =< s(548)*s(549) s(555) =< s(548)*s(550) s(556) =< s(544)*s(549) s(557) =< s(544)*s(550) s(558) =< s(543)*s(550) s(559) =< s(543)*s(549) s(560) =< s(542)*s(549) s(561) =< s(542)*s(551) s(562) =< s(542)*s(550) s(563) =< s(546) s(564) =< s(556) s(565) =< s(546) s(565) =< s(556) s(566) =< s(545) s(567) =< s(557) s(568) =< s(545) s(568) =< s(556) s(569) =< s(556) s(568) =< s(557) s(569) =< s(557) s(570) =< s(558) s(571) =< s(546) s(571) =< s(559) s(572) =< s(559) s(571) =< s(558) s(572) =< s(558) s(573) =< s(561) s(574) =< s(561) s(573) =< s(545) s(574) =< s(545) s(573) =< s(560) s(575) =< s(560) s(576) =< s(553) s(577) =< s(553) s(576) =< s(545) s(577) =< s(545) s(576) =< s(552) s(578) =< s(552) s(576) =< s(562) s(578) =< s(562) with precondition: [V_N>=0,V_m>=1,V_n>=2,V_n>=V_N+1] * Chain [68]: 1*s(587)+2*s(588)+2*s(589)+10*s(590)+2*s(593)+3*s(594)+1*s(600)+1*s(601)+7*s(609)+4*s(610)+2*s(611)+3*s(612)+1*s(613)+1*s(614)+1*s(615)+1*s(616)+1*s(617)+1*s(618)+1*s(619)+1*s(620)+1*s(621)+1*s(622)+1*s(623)+1*s(624)+0 Such that:s(579) =< V_N s(580) =< V_N+1 s(581) =< V_N+V_m+V_n s(582) =< V_N+V_n s(583) =< V_N/2 s(586) =< V_m s(584) =< V_n s(585) =< V_n/2 s(587) =< s(586) s(588) =< s(579) s(589) =< s(579) s(590) =< s(579) s(591) =< s(579) s(590) =< s(580) s(592) =< s(580) s(593) =< s(580) s(588) =< s(581) s(589) =< s(581) s(590) =< s(581) s(594) =< s(581) s(588) =< s(584) s(589) =< s(584) s(590) =< s(584) s(594) =< s(584) s(588) =< s(582) s(589) =< s(582) s(590) =< s(582) s(594) =< s(582) s(591) =< s(584) s(592) =< s(584) s(593) =< s(584) s(589) =< s(583) s(590) =< s(583) s(589) =< s(585) s(590) =< s(585) s(595) =< s(586) s(596) =< s(586)-1 s(597) =< s(579) s(598) =< s(588)*s(586) s(599) =< s(588)*s(579) s(600) =< s(594)*s(595) s(601) =< s(594)*s(596) s(602) =< s(590)*s(595) s(603) =< s(590)*s(596) s(604) =< s(589)*s(596) s(605) =< s(589)*s(595) s(606) =< s(588)*s(595) s(607) =< s(588)*s(597) s(608) =< s(588)*s(596) s(609) =< s(592) s(610) =< s(602) s(611) =< s(592) s(611) =< s(602) s(612) =< s(591) s(613) =< s(603) s(614) =< s(591) s(614) =< s(602) s(615) =< s(602) s(614) =< s(603) s(615) =< s(603) s(616) =< s(604) s(617) =< s(592) s(617) =< s(605) s(618) =< s(605) s(617) =< s(604) s(618) =< s(604) s(619) =< s(607) s(620) =< s(607) s(619) =< s(591) s(620) =< s(591) s(619) =< s(606) s(621) =< s(606) s(622) =< s(599) s(623) =< s(599) s(622) =< s(591) s(623) =< s(591) s(622) =< s(598) s(624) =< s(598) s(622) =< s(608) s(624) =< s(608) with precondition: [V_N>=0,V_m>=2,V_n>=2,V_n>=V_N+1] * Chain [67]: 3*s(627)+1*s(628)+1*s(629)+1 Such that:s(625) =< V_N s(626) =< V_m s(627) =< s(625) s(628) =< s(625) s(628) =< s(626) s(629) =< s(626) with precondition: [V_N>=1,V_m>=1,V_n>=1] * Chain [66]: 7*s(632)+4*s(633)+3*s(634)+1 Such that:s(630) =< V_N s(631) =< V_m s(632) =< s(630) s(633) =< s(631) s(634) =< s(630) s(634) =< s(631) with precondition: [V_N>=1,V_m>=2,V_n>=1] * Chain [65]: 5*s(637)+4*s(638)+2*s(639)+1 Such that:s(635) =< V_N s(636) =< V_m s(637) =< s(635) s(638) =< s(636) s(639) =< s(635) s(639) =< s(636) with precondition: [V_N>=1,V_m>=3,V_n>=1] * Chain [64]: 2*s(642)+2*s(643)+1*s(644)+1 Such that:s(640) =< V_N s(641) =< V_m s(642) =< s(640) s(643) =< s(641) s(644) =< s(640) s(644) =< s(641) with precondition: [V_N>=1,V_m>=4,V_n>=1] * Chain [63]: 3*s(655)+1*s(656)+1*s(657)+2*s(658)+2*s(659)+10*s(660)+2*s(663)+3*s(664)+1*s(670)+1*s(671)+7*s(679)+4*s(680)+2*s(681)+3*s(682)+1*s(683)+1*s(684)+1*s(685)+1*s(686)+1*s(687)+1*s(688)+1*s(689)+1*s(690)+1*s(691)+1*s(692)+1*s(693)+1*s(694)+1 Such that:s(649) =< V_N s(645) =< V_N+1 s(646) =< V_N+V_m+V_n s(647) =< V_N+V_n s(648) =< V_N/2 s(652) =< V_m s(650) =< V_n s(651) =< V_n/2 s(653) =< s(649) s(654) =< s(649) s(653) =< s(650) s(654) =< s(651) s(655) =< s(649) s(656) =< s(649) s(656) =< s(652) s(657) =< s(652) s(658) =< s(649) s(659) =< s(649) s(660) =< s(649) s(661) =< s(649) s(660) =< s(645) s(662) =< s(645) s(663) =< s(645) s(658) =< s(646) s(659) =< s(646) s(660) =< s(646) s(664) =< s(646) s(658) =< s(653) s(659) =< s(653) s(660) =< s(653) s(664) =< s(653) s(658) =< s(647) s(659) =< s(647) s(660) =< s(647) s(664) =< s(647) s(661) =< s(653) s(662) =< s(653) s(663) =< s(653) s(659) =< s(648) s(660) =< s(648) s(659) =< s(654) s(660) =< s(654) s(658) =< s(650) s(659) =< s(650) s(660) =< s(650) s(664) =< s(650) s(659) =< s(651) s(660) =< s(651) s(665) =< s(652) s(666) =< s(652)-1 s(667) =< s(649) s(668) =< s(658)*s(652) s(669) =< s(658)*s(649) s(670) =< s(664)*s(665) s(671) =< s(664)*s(666) s(672) =< s(660)*s(665) s(673) =< s(660)*s(666) s(674) =< s(659)*s(666) s(675) =< s(659)*s(665) s(676) =< s(658)*s(665) s(677) =< s(658)*s(667) s(678) =< s(658)*s(666) s(679) =< s(662) s(680) =< s(672) s(681) =< s(662) s(681) =< s(672) s(682) =< s(661) s(683) =< s(673) s(684) =< s(661) s(684) =< s(672) s(685) =< s(672) s(684) =< s(673) s(685) =< s(673) s(686) =< s(674) s(687) =< s(662) s(687) =< s(675) s(688) =< s(675) s(687) =< s(674) s(688) =< s(674) s(689) =< s(677) s(690) =< s(677) s(689) =< s(661) s(690) =< s(661) s(689) =< s(676) s(691) =< s(676) s(692) =< s(669) s(693) =< s(669) s(692) =< s(661) s(693) =< s(661) s(692) =< s(668) s(694) =< s(668) s(692) =< s(678) s(694) =< s(678) with precondition: [V_N>=2,V_m>=1,V_n>=2] * Chain [62]: 7*s(705)+4*s(706)+3*s(707)+2*s(708)+2*s(709)+10*s(710)+2*s(713)+3*s(714)+1*s(720)+1*s(721)+7*s(729)+4*s(730)+2*s(731)+3*s(732)+1*s(733)+1*s(734)+1*s(735)+1*s(736)+1*s(737)+1*s(738)+1*s(739)+1*s(740)+1*s(741)+1*s(742)+1*s(743)+1*s(744)+1 Such that:s(699) =< V_N s(695) =< V_N+1 s(696) =< V_N+V_m+V_n s(697) =< V_N+V_n s(698) =< V_N/2 s(702) =< V_m s(700) =< V_n s(701) =< V_n/2 s(703) =< s(699) s(704) =< s(699) s(703) =< s(700) s(704) =< s(701) s(705) =< s(699) s(706) =< s(702) s(707) =< s(699) s(707) =< s(702) s(708) =< s(699) s(709) =< s(699) s(710) =< s(699) s(711) =< s(699) s(710) =< s(695) s(712) =< s(695) s(713) =< s(695) s(708) =< s(696) s(709) =< s(696) s(710) =< s(696) s(714) =< s(696) s(708) =< s(703) s(709) =< s(703) s(710) =< s(703) s(714) =< s(703) s(708) =< s(697) s(709) =< s(697) s(710) =< s(697) s(714) =< s(697) s(711) =< s(703) s(712) =< s(703) s(713) =< s(703) s(709) =< s(698) s(710) =< s(698) s(709) =< s(704) s(710) =< s(704) s(708) =< s(700) s(709) =< s(700) s(710) =< s(700) s(714) =< s(700) s(709) =< s(701) s(710) =< s(701) s(715) =< s(702) s(716) =< s(702)-1 s(717) =< s(699) s(718) =< s(708)*s(702) s(719) =< s(708)*s(699) s(720) =< s(714)*s(715) s(721) =< s(714)*s(716) s(722) =< s(710)*s(715) s(723) =< s(710)*s(716) s(724) =< s(709)*s(716) s(725) =< s(709)*s(715) s(726) =< s(708)*s(715) s(727) =< s(708)*s(717) s(728) =< s(708)*s(716) s(729) =< s(712) s(730) =< s(722) s(731) =< s(712) s(731) =< s(722) s(732) =< s(711) s(733) =< s(723) s(734) =< s(711) s(734) =< s(722) s(735) =< s(722) s(734) =< s(723) s(735) =< s(723) s(736) =< s(724) s(737) =< s(712) s(737) =< s(725) s(738) =< s(725) s(737) =< s(724) s(738) =< s(724) s(739) =< s(727) s(740) =< s(727) s(739) =< s(711) s(740) =< s(711) s(739) =< s(726) s(741) =< s(726) s(742) =< s(719) s(743) =< s(719) s(742) =< s(711) s(743) =< s(711) s(742) =< s(718) s(744) =< s(718) s(742) =< s(728) s(744) =< s(728) with precondition: [V_N>=2,V_m>=2,V_n>=2] * Chain [61]: 5*s(755)+4*s(756)+2*s(757)+2*s(758)+2*s(759)+10*s(760)+2*s(763)+3*s(764)+1*s(770)+1*s(771)+7*s(779)+4*s(780)+2*s(781)+3*s(782)+1*s(783)+1*s(784)+1*s(785)+1*s(786)+1*s(787)+1*s(788)+1*s(789)+1*s(790)+1*s(791)+1*s(792)+1*s(793)+1*s(794)+1 Such that:s(749) =< V_N s(745) =< V_N+1 s(746) =< V_N+V_m+V_n s(747) =< V_N+V_n s(748) =< V_N/2 s(752) =< V_m s(750) =< V_n s(751) =< V_n/2 s(753) =< s(749) s(754) =< s(749) s(753) =< s(750) s(754) =< s(751) s(755) =< s(749) s(756) =< s(752) s(757) =< s(749) s(757) =< s(752) s(758) =< s(749) s(759) =< s(749) s(760) =< s(749) s(761) =< s(749) s(760) =< s(745) s(762) =< s(745) s(763) =< s(745) s(758) =< s(746) s(759) =< s(746) s(760) =< s(746) s(764) =< s(746) s(758) =< s(753) s(759) =< s(753) s(760) =< s(753) s(764) =< s(753) s(758) =< s(747) s(759) =< s(747) s(760) =< s(747) s(764) =< s(747) s(761) =< s(753) s(762) =< s(753) s(763) =< s(753) s(759) =< s(748) s(760) =< s(748) s(759) =< s(754) s(760) =< s(754) s(758) =< s(750) s(759) =< s(750) s(760) =< s(750) s(764) =< s(750) s(759) =< s(751) s(760) =< s(751) s(765) =< s(752) s(766) =< s(752)-1 s(767) =< s(749) s(768) =< s(758)*s(752) s(769) =< s(758)*s(749) s(770) =< s(764)*s(765) s(771) =< s(764)*s(766) s(772) =< s(760)*s(765) s(773) =< s(760)*s(766) s(774) =< s(759)*s(766) s(775) =< s(759)*s(765) s(776) =< s(758)*s(765) s(777) =< s(758)*s(767) s(778) =< s(758)*s(766) s(779) =< s(762) s(780) =< s(772) s(781) =< s(762) s(781) =< s(772) s(782) =< s(761) s(783) =< s(773) s(784) =< s(761) s(784) =< s(772) s(785) =< s(772) s(784) =< s(773) s(785) =< s(773) s(786) =< s(774) s(787) =< s(762) s(787) =< s(775) s(788) =< s(775) s(787) =< s(774) s(788) =< s(774) s(789) =< s(777) s(790) =< s(777) s(789) =< s(761) s(790) =< s(761) s(789) =< s(776) s(791) =< s(776) s(792) =< s(769) s(793) =< s(769) s(792) =< s(761) s(793) =< s(761) s(792) =< s(768) s(794) =< s(768) s(792) =< s(778) s(794) =< s(778) with precondition: [V_N>=2,V_m>=3,V_n>=2] * Chain [60]: 2*s(805)+2*s(806)+1*s(807)+2*s(808)+2*s(809)+10*s(810)+2*s(813)+3*s(814)+1*s(820)+1*s(821)+7*s(829)+4*s(830)+2*s(831)+3*s(832)+1*s(833)+1*s(834)+1*s(835)+1*s(836)+1*s(837)+1*s(838)+1*s(839)+1*s(840)+1*s(841)+1*s(842)+1*s(843)+1*s(844)+1 Such that:s(799) =< V_N s(795) =< V_N+1 s(796) =< V_N+V_m+V_n s(797) =< V_N+V_n s(798) =< V_N/2 s(802) =< V_m s(800) =< V_n s(801) =< V_n/2 s(803) =< s(799) s(804) =< s(799) s(803) =< s(800) s(804) =< s(801) s(805) =< s(799) s(806) =< s(802) s(807) =< s(799) s(807) =< s(802) s(808) =< s(799) s(809) =< s(799) s(810) =< s(799) s(811) =< s(799) s(810) =< s(795) s(812) =< s(795) s(813) =< s(795) s(808) =< s(796) s(809) =< s(796) s(810) =< s(796) s(814) =< s(796) s(808) =< s(803) s(809) =< s(803) s(810) =< s(803) s(814) =< s(803) s(808) =< s(797) s(809) =< s(797) s(810) =< s(797) s(814) =< s(797) s(811) =< s(803) s(812) =< s(803) s(813) =< s(803) s(809) =< s(798) s(810) =< s(798) s(809) =< s(804) s(810) =< s(804) s(808) =< s(800) s(809) =< s(800) s(810) =< s(800) s(814) =< s(800) s(809) =< s(801) s(810) =< s(801) s(815) =< s(802) s(816) =< s(802)-1 s(817) =< s(799) s(818) =< s(808)*s(802) s(819) =< s(808)*s(799) s(820) =< s(814)*s(815) s(821) =< s(814)*s(816) s(822) =< s(810)*s(815) s(823) =< s(810)*s(816) s(824) =< s(809)*s(816) s(825) =< s(809)*s(815) s(826) =< s(808)*s(815) s(827) =< s(808)*s(817) s(828) =< s(808)*s(816) s(829) =< s(812) s(830) =< s(822) s(831) =< s(812) s(831) =< s(822) s(832) =< s(811) s(833) =< s(823) s(834) =< s(811) s(834) =< s(822) s(835) =< s(822) s(834) =< s(823) s(835) =< s(823) s(836) =< s(824) s(837) =< s(812) s(837) =< s(825) s(838) =< s(825) s(837) =< s(824) s(838) =< s(824) s(839) =< s(827) s(840) =< s(827) s(839) =< s(811) s(840) =< s(811) s(839) =< s(826) s(841) =< s(826) s(842) =< s(819) s(843) =< s(819) s(842) =< s(811) s(843) =< s(811) s(842) =< s(818) s(844) =< s(818) s(842) =< s(828) s(844) =< s(828) with precondition: [V_N>=2,V_m>=4,V_n>=2] #### Cost of chains of eval_nestedLoop_start(V_11,V_14,V_4,V_7,V_9,V_N,V_i_0,V_i_1,V_j_0,V_k_0,V_m,V_n,B): * Chain [103]: 1*s(845)+0 Such that:s(845) =< V_m with precondition: [V_N=0,V_m>=1,V_n>=1] * Chain [102]: 1*s(846)+0 Such that:s(846) =< V_m with precondition: [V_N=0,V_m>=2,V_n>=1] * Chain [101]: 2*s(848)+0 Such that:s(847) =< V_n s(848) =< s(847) with precondition: [V_m=0,V_N>=0,V_n>=1] * Chain [100]: 2*s(850)+0 Such that:s(849) =< V_n s(850) =< s(849) with precondition: [V_m=0,V_N>=0,V_n>=2] * Chain [99]: 0 with precondition: [V_n=0,V_N>=0,V_m>=0] * Chain [98]: 0 with precondition: [0>=V_N+1] * Chain [97]: 0 with precondition: [0>=V_m+1] * Chain [96]: 0 with precondition: [0>=V_n+1] * Chain [95]: 0 with precondition: [V_N>=0,V_m>=0,V_n>=0] * Chain [94]: 0 with precondition: [V_N>=0,V_m>=0,V_n>=1] * Chain [93]: 4*s(860)+4*s(861)+20*s(862)+4*s(865)+6*s(866)+2*s(872)+2*s(873)+14*s(881)+8*s(882)+4*s(883)+6*s(884)+2*s(885)+2*s(886)+2*s(887)+2*s(888)+2*s(889)+2*s(890)+2*s(891)+2*s(892)+2*s(893)+2*s(894)+2*s(895)+2*s(896)+0 Such that:s(851) =< V_N s(852) =< V_N+1 s(853) =< V_N+V_m+V_n s(854) =< V_N+V_n s(855) =< V_N/2 s(856) =< V_N/2+V_n/2 s(857) =< V_m s(858) =< V_n s(859) =< V_n/2 s(860) =< s(851) s(861) =< s(851) s(862) =< s(851) s(863) =< s(851) s(862) =< s(852) s(864) =< s(852) s(865) =< s(852) s(860) =< s(853) s(861) =< s(853) s(862) =< s(853) s(866) =< s(853) s(860) =< s(854) s(861) =< s(854) s(862) =< s(854) s(866) =< s(854) s(863) =< s(854) s(864) =< s(854) s(865) =< s(854) s(861) =< s(855) s(862) =< s(855) s(861) =< s(856) s(862) =< s(856) s(860) =< s(858) s(861) =< s(858) s(862) =< s(858) s(866) =< s(858) s(861) =< s(859) s(862) =< s(859) s(867) =< s(857) s(868) =< s(857)-1 s(869) =< s(851) s(870) =< s(860)*s(857) s(871) =< s(860)*s(851) s(872) =< s(866)*s(867) s(873) =< s(866)*s(868) s(874) =< s(862)*s(867) s(875) =< s(862)*s(868) s(876) =< s(861)*s(868) s(877) =< s(861)*s(867) s(878) =< s(860)*s(867) s(879) =< s(860)*s(869) s(880) =< s(860)*s(868) s(881) =< s(864) s(882) =< s(874) s(883) =< s(864) s(883) =< s(874) s(884) =< s(863) s(885) =< s(875) s(886) =< s(863) s(886) =< s(874) s(887) =< s(874) s(886) =< s(875) s(887) =< s(875) s(888) =< s(876) s(889) =< s(864) s(889) =< s(877) s(890) =< s(877) s(889) =< s(876) s(890) =< s(876) s(891) =< s(879) s(892) =< s(879) s(891) =< s(863) s(892) =< s(863) s(891) =< s(878) s(893) =< s(878) s(894) =< s(871) s(895) =< s(871) s(894) =< s(863) s(895) =< s(863) s(894) =< s(870) s(896) =< s(870) s(894) =< s(880) s(896) =< s(880) with precondition: [V_N>=0,V_m>=1,V_n>=1] * Chain [92]: 6*s(905)+6*s(906)+30*s(907)+6*s(910)+9*s(911)+3*s(917)+3*s(918)+21*s(926)+12*s(927)+6*s(928)+9*s(929)+3*s(930)+3*s(931)+3*s(932)+3*s(933)+3*s(934)+3*s(935)+3*s(936)+3*s(937)+3*s(938)+3*s(939)+3*s(940)+3*s(941)+0 Such that:s(897) =< V_N s(898) =< V_N+1 s(899) =< V_N+V_m+V_n s(900) =< V_N+V_n s(901) =< V_N/2 s(902) =< V_m s(903) =< V_n s(904) =< V_n/2 s(905) =< s(897) s(906) =< s(897) s(907) =< s(897) s(908) =< s(897) s(907) =< s(898) s(909) =< s(898) s(910) =< s(898) s(905) =< s(899) s(906) =< s(899) s(907) =< s(899) s(911) =< s(899) s(905) =< s(903) s(906) =< s(903) s(907) =< s(903) s(911) =< s(903) s(905) =< s(900) s(906) =< s(900) s(907) =< s(900) s(911) =< s(900) s(908) =< s(903) s(909) =< s(903) s(910) =< s(903) s(906) =< s(901) s(907) =< s(901) s(906) =< s(904) s(907) =< s(904) s(912) =< s(902) s(913) =< s(902)-1 s(914) =< s(897) s(915) =< s(905)*s(902) s(916) =< s(905)*s(897) s(917) =< s(911)*s(912) s(918) =< s(911)*s(913) s(919) =< s(907)*s(912) s(920) =< s(907)*s(913) s(921) =< s(906)*s(913) s(922) =< s(906)*s(912) s(923) =< s(905)*s(912) s(924) =< s(905)*s(914) s(925) =< s(905)*s(913) s(926) =< s(909) s(927) =< s(919) s(928) =< s(909) s(928) =< s(919) s(929) =< s(908) s(930) =< s(920) s(931) =< s(908) s(931) =< s(919) s(932) =< s(919) s(931) =< s(920) s(932) =< s(920) s(933) =< s(921) s(934) =< s(909) s(934) =< s(922) s(935) =< s(922) s(934) =< s(921) s(935) =< s(921) s(936) =< s(924) s(937) =< s(924) s(936) =< s(908) s(937) =< s(908) s(936) =< s(923) s(938) =< s(923) s(939) =< s(916) s(940) =< s(916) s(939) =< s(908) s(940) =< s(908) s(939) =< s(915) s(941) =< s(915) s(939) =< s(925) s(941) =< s(925) with precondition: [V_N>=0,V_m>=1,V_n>=2] * Chain [91]: 1*s(950)+2*s(951)+2*s(952)+10*s(953)+2*s(956)+3*s(957)+1*s(963)+1*s(964)+7*s(972)+4*s(973)+2*s(974)+3*s(975)+1*s(976)+1*s(977)+1*s(978)+1*s(979)+1*s(980)+1*s(981)+1*s(982)+1*s(983)+1*s(984)+1*s(985)+1*s(986)+1*s(987)+0 Such that:s(942) =< V_N s(943) =< V_N+1 s(944) =< V_N+V_m+V_n s(945) =< V_N+V_n s(946) =< V_N/2 s(947) =< V_m s(948) =< V_n s(949) =< V_n/2 s(950) =< s(947) s(951) =< s(942) s(952) =< s(942) s(953) =< s(942) s(954) =< s(942) s(953) =< s(943) s(955) =< s(943) s(956) =< s(943) s(951) =< s(944) s(952) =< s(944) s(953) =< s(944) s(957) =< s(944) s(951) =< s(948) s(952) =< s(948) s(953) =< s(948) s(957) =< s(948) s(951) =< s(945) s(952) =< s(945) s(953) =< s(945) s(957) =< s(945) s(954) =< s(948) s(955) =< s(948) s(956) =< s(948) s(952) =< s(946) s(953) =< s(946) s(952) =< s(949) s(953) =< s(949) s(958) =< s(947) s(959) =< s(947)-1 s(960) =< s(942) s(961) =< s(951)*s(947) s(962) =< s(951)*s(942) s(963) =< s(957)*s(958) s(964) =< s(957)*s(959) s(965) =< s(953)*s(958) s(966) =< s(953)*s(959) s(967) =< s(952)*s(959) s(968) =< s(952)*s(958) s(969) =< s(951)*s(958) s(970) =< s(951)*s(960) s(971) =< s(951)*s(959) s(972) =< s(955) s(973) =< s(965) s(974) =< s(955) s(974) =< s(965) s(975) =< s(954) s(976) =< s(966) s(977) =< s(954) s(977) =< s(965) s(978) =< s(965) s(977) =< s(966) s(978) =< s(966) s(979) =< s(967) s(980) =< s(955) s(980) =< s(968) s(981) =< s(968) s(980) =< s(967) s(981) =< s(967) s(982) =< s(970) s(983) =< s(970) s(982) =< s(954) s(983) =< s(954) s(982) =< s(969) s(984) =< s(969) s(985) =< s(962) s(986) =< s(962) s(985) =< s(954) s(986) =< s(954) s(985) =< s(961) s(987) =< s(961) s(985) =< s(971) s(987) =< s(971) with precondition: [V_N>=0,V_m>=1,V_n>=2,V_n>=V_N+1] * Chain [90]: 1*s(996)+2*s(997)+2*s(998)+10*s(999)+2*s(1002)+3*s(1003)+1*s(1009)+1*s(1010)+7*s(1018)+4*s(1019)+2*s(1020)+3*s(1021)+1*s(1022)+1*s(1023)+1*s(1024)+1*s(1025)+1*s(1026)+1*s(1027)+1*s(1028)+1*s(1029)+1*s(1030)+1*s(1031)+1*s(1032)+1*s(1033)+0 Such that:s(988) =< V_N s(989) =< V_N+1 s(990) =< V_N+V_m+V_n s(991) =< V_N+V_n s(992) =< V_N/2 s(993) =< V_m s(994) =< V_n s(995) =< V_n/2 s(996) =< s(993) s(997) =< s(988) s(998) =< s(988) s(999) =< s(988) s(1000) =< s(988) s(999) =< s(989) s(1001) =< s(989) s(1002) =< s(989) s(997) =< s(990) s(998) =< s(990) s(999) =< s(990) s(1003) =< s(990) s(997) =< s(994) s(998) =< s(994) s(999) =< s(994) s(1003) =< s(994) s(997) =< s(991) s(998) =< s(991) s(999) =< s(991) s(1003) =< s(991) s(1000) =< s(994) s(1001) =< s(994) s(1002) =< s(994) s(998) =< s(992) s(999) =< s(992) s(998) =< s(995) s(999) =< s(995) s(1004) =< s(993) s(1005) =< s(993)-1 s(1006) =< s(988) s(1007) =< s(997)*s(993) s(1008) =< s(997)*s(988) s(1009) =< s(1003)*s(1004) s(1010) =< s(1003)*s(1005) s(1011) =< s(999)*s(1004) s(1012) =< s(999)*s(1005) s(1013) =< s(998)*s(1005) s(1014) =< s(998)*s(1004) s(1015) =< s(997)*s(1004) s(1016) =< s(997)*s(1006) s(1017) =< s(997)*s(1005) s(1018) =< s(1001) s(1019) =< s(1011) s(1020) =< s(1001) s(1020) =< s(1011) s(1021) =< s(1000) s(1022) =< s(1012) s(1023) =< s(1000) s(1023) =< s(1011) s(1024) =< s(1011) s(1023) =< s(1012) s(1024) =< s(1012) s(1025) =< s(1013) s(1026) =< s(1001) s(1026) =< s(1014) s(1027) =< s(1014) s(1026) =< s(1013) s(1027) =< s(1013) s(1028) =< s(1016) s(1029) =< s(1016) s(1028) =< s(1000) s(1029) =< s(1000) s(1028) =< s(1015) s(1030) =< s(1015) s(1031) =< s(1008) s(1032) =< s(1008) s(1031) =< s(1000) s(1032) =< s(1000) s(1031) =< s(1007) s(1033) =< s(1007) s(1031) =< s(1017) s(1033) =< s(1017) with precondition: [V_N>=0,V_m>=2,V_n>=2,V_n>=V_N+1] * Chain [89]: 3*s(1036)+1*s(1037)+1*s(1038)+1 Such that:s(1034) =< V_N s(1035) =< V_m s(1036) =< s(1034) s(1037) =< s(1034) s(1037) =< s(1035) s(1038) =< s(1035) with precondition: [V_N>=1,V_m>=1,V_n>=1] * Chain [88]: 7*s(1041)+4*s(1042)+3*s(1043)+1 Such that:s(1039) =< V_N s(1040) =< V_m s(1041) =< s(1039) s(1042) =< s(1040) s(1043) =< s(1039) s(1043) =< s(1040) with precondition: [V_N>=1,V_m>=2,V_n>=1] * Chain [87]: 5*s(1046)+4*s(1047)+2*s(1048)+1 Such that:s(1044) =< V_N s(1045) =< V_m s(1046) =< s(1044) s(1047) =< s(1045) s(1048) =< s(1044) s(1048) =< s(1045) with precondition: [V_N>=1,V_m>=3,V_n>=1] * Chain [86]: 2*s(1051)+2*s(1052)+1*s(1053)+1 Such that:s(1049) =< V_N s(1050) =< V_m s(1051) =< s(1049) s(1052) =< s(1050) s(1053) =< s(1049) s(1053) =< s(1050) with precondition: [V_N>=1,V_m>=4,V_n>=1] * Chain [85]: 3*s(1064)+1*s(1065)+1*s(1066)+2*s(1067)+2*s(1068)+10*s(1069)+2*s(1072)+3*s(1073)+1*s(1079)+1*s(1080)+7*s(1088)+4*s(1089)+2*s(1090)+3*s(1091)+1*s(1092)+1*s(1093)+1*s(1094)+1*s(1095)+1*s(1096)+1*s(1097)+1*s(1098)+1*s(1099)+1*s(1100)+1*s(1101)+1*s(1102)+1*s(1103)+1 Such that:s(1054) =< V_N s(1055) =< V_N+1 s(1056) =< V_N+V_m+V_n s(1057) =< V_N+V_n s(1058) =< V_N/2 s(1059) =< V_m s(1060) =< V_n s(1061) =< V_n/2 s(1062) =< s(1054) s(1063) =< s(1054) s(1062) =< s(1060) s(1063) =< s(1061) s(1064) =< s(1054) s(1065) =< s(1054) s(1065) =< s(1059) s(1066) =< s(1059) s(1067) =< s(1054) s(1068) =< s(1054) s(1069) =< s(1054) s(1070) =< s(1054) s(1069) =< s(1055) s(1071) =< s(1055) s(1072) =< s(1055) s(1067) =< s(1056) s(1068) =< s(1056) s(1069) =< s(1056) s(1073) =< s(1056) s(1067) =< s(1062) s(1068) =< s(1062) s(1069) =< s(1062) s(1073) =< s(1062) s(1067) =< s(1057) s(1068) =< s(1057) s(1069) =< s(1057) s(1073) =< s(1057) s(1070) =< s(1062) s(1071) =< s(1062) s(1072) =< s(1062) s(1068) =< s(1058) s(1069) =< s(1058) s(1068) =< s(1063) s(1069) =< s(1063) s(1067) =< s(1060) s(1068) =< s(1060) s(1069) =< s(1060) s(1073) =< s(1060) s(1068) =< s(1061) s(1069) =< s(1061) s(1074) =< s(1059) s(1075) =< s(1059)-1 s(1076) =< s(1054) s(1077) =< s(1067)*s(1059) s(1078) =< s(1067)*s(1054) s(1079) =< s(1073)*s(1074) s(1080) =< s(1073)*s(1075) s(1081) =< s(1069)*s(1074) s(1082) =< s(1069)*s(1075) s(1083) =< s(1068)*s(1075) s(1084) =< s(1068)*s(1074) s(1085) =< s(1067)*s(1074) s(1086) =< s(1067)*s(1076) s(1087) =< s(1067)*s(1075) s(1088) =< s(1071) s(1089) =< s(1081) s(1090) =< s(1071) s(1090) =< s(1081) s(1091) =< s(1070) s(1092) =< s(1082) s(1093) =< s(1070) s(1093) =< s(1081) s(1094) =< s(1081) s(1093) =< s(1082) s(1094) =< s(1082) s(1095) =< s(1083) s(1096) =< s(1071) s(1096) =< s(1084) s(1097) =< s(1084) s(1096) =< s(1083) s(1097) =< s(1083) s(1098) =< s(1086) s(1099) =< s(1086) s(1098) =< s(1070) s(1099) =< s(1070) s(1098) =< s(1085) s(1100) =< s(1085) s(1101) =< s(1078) s(1102) =< s(1078) s(1101) =< s(1070) s(1102) =< s(1070) s(1101) =< s(1077) s(1103) =< s(1077) s(1101) =< s(1087) s(1103) =< s(1087) with precondition: [V_N>=2,V_m>=1,V_n>=2] * Chain [84]: 7*s(1114)+4*s(1115)+3*s(1116)+2*s(1117)+2*s(1118)+10*s(1119)+2*s(1122)+3*s(1123)+1*s(1129)+1*s(1130)+7*s(1138)+4*s(1139)+2*s(1140)+3*s(1141)+1*s(1142)+1*s(1143)+1*s(1144)+1*s(1145)+1*s(1146)+1*s(1147)+1*s(1148)+1*s(1149)+1*s(1150)+1*s(1151)+1*s(1152)+1*s(1153)+1 Such that:s(1104) =< V_N s(1105) =< V_N+1 s(1106) =< V_N+V_m+V_n s(1107) =< V_N+V_n s(1108) =< V_N/2 s(1109) =< V_m s(1110) =< V_n s(1111) =< V_n/2 s(1112) =< s(1104) s(1113) =< s(1104) s(1112) =< s(1110) s(1113) =< s(1111) s(1114) =< s(1104) s(1115) =< s(1109) s(1116) =< s(1104) s(1116) =< s(1109) s(1117) =< s(1104) s(1118) =< s(1104) s(1119) =< s(1104) s(1120) =< s(1104) s(1119) =< s(1105) s(1121) =< s(1105) s(1122) =< s(1105) s(1117) =< s(1106) s(1118) =< s(1106) s(1119) =< s(1106) s(1123) =< s(1106) s(1117) =< s(1112) s(1118) =< s(1112) s(1119) =< s(1112) s(1123) =< s(1112) s(1117) =< s(1107) s(1118) =< s(1107) s(1119) =< s(1107) s(1123) =< s(1107) s(1120) =< s(1112) s(1121) =< s(1112) s(1122) =< s(1112) s(1118) =< s(1108) s(1119) =< s(1108) s(1118) =< s(1113) s(1119) =< s(1113) s(1117) =< s(1110) s(1118) =< s(1110) s(1119) =< s(1110) s(1123) =< s(1110) s(1118) =< s(1111) s(1119) =< s(1111) s(1124) =< s(1109) s(1125) =< s(1109)-1 s(1126) =< s(1104) s(1127) =< s(1117)*s(1109) s(1128) =< s(1117)*s(1104) s(1129) =< s(1123)*s(1124) s(1130) =< s(1123)*s(1125) s(1131) =< s(1119)*s(1124) s(1132) =< s(1119)*s(1125) s(1133) =< s(1118)*s(1125) s(1134) =< s(1118)*s(1124) s(1135) =< s(1117)*s(1124) s(1136) =< s(1117)*s(1126) s(1137) =< s(1117)*s(1125) s(1138) =< s(1121) s(1139) =< s(1131) s(1140) =< s(1121) s(1140) =< s(1131) s(1141) =< s(1120) s(1142) =< s(1132) s(1143) =< s(1120) s(1143) =< s(1131) s(1144) =< s(1131) s(1143) =< s(1132) s(1144) =< s(1132) s(1145) =< s(1133) s(1146) =< s(1121) s(1146) =< s(1134) s(1147) =< s(1134) s(1146) =< s(1133) s(1147) =< s(1133) s(1148) =< s(1136) s(1149) =< s(1136) s(1148) =< s(1120) s(1149) =< s(1120) s(1148) =< s(1135) s(1150) =< s(1135) s(1151) =< s(1128) s(1152) =< s(1128) s(1151) =< s(1120) s(1152) =< s(1120) s(1151) =< s(1127) s(1153) =< s(1127) s(1151) =< s(1137) s(1153) =< s(1137) with precondition: [V_N>=2,V_m>=2,V_n>=2] * Chain [83]: 5*s(1164)+4*s(1165)+2*s(1166)+2*s(1167)+2*s(1168)+10*s(1169)+2*s(1172)+3*s(1173)+1*s(1179)+1*s(1180)+7*s(1188)+4*s(1189)+2*s(1190)+3*s(1191)+1*s(1192)+1*s(1193)+1*s(1194)+1*s(1195)+1*s(1196)+1*s(1197)+1*s(1198)+1*s(1199)+1*s(1200)+1*s(1201)+1*s(1202)+1*s(1203)+1 Such that:s(1154) =< V_N s(1155) =< V_N+1 s(1156) =< V_N+V_m+V_n s(1157) =< V_N+V_n s(1158) =< V_N/2 s(1159) =< V_m s(1160) =< V_n s(1161) =< V_n/2 s(1162) =< s(1154) s(1163) =< s(1154) s(1162) =< s(1160) s(1163) =< s(1161) s(1164) =< s(1154) s(1165) =< s(1159) s(1166) =< s(1154) s(1166) =< s(1159) s(1167) =< s(1154) s(1168) =< s(1154) s(1169) =< s(1154) s(1170) =< s(1154) s(1169) =< s(1155) s(1171) =< s(1155) s(1172) =< s(1155) s(1167) =< s(1156) s(1168) =< s(1156) s(1169) =< s(1156) s(1173) =< s(1156) s(1167) =< s(1162) s(1168) =< s(1162) s(1169) =< s(1162) s(1173) =< s(1162) s(1167) =< s(1157) s(1168) =< s(1157) s(1169) =< s(1157) s(1173) =< s(1157) s(1170) =< s(1162) s(1171) =< s(1162) s(1172) =< s(1162) s(1168) =< s(1158) s(1169) =< s(1158) s(1168) =< s(1163) s(1169) =< s(1163) s(1167) =< s(1160) s(1168) =< s(1160) s(1169) =< s(1160) s(1173) =< s(1160) s(1168) =< s(1161) s(1169) =< s(1161) s(1174) =< s(1159) s(1175) =< s(1159)-1 s(1176) =< s(1154) s(1177) =< s(1167)*s(1159) s(1178) =< s(1167)*s(1154) s(1179) =< s(1173)*s(1174) s(1180) =< s(1173)*s(1175) s(1181) =< s(1169)*s(1174) s(1182) =< s(1169)*s(1175) s(1183) =< s(1168)*s(1175) s(1184) =< s(1168)*s(1174) s(1185) =< s(1167)*s(1174) s(1186) =< s(1167)*s(1176) s(1187) =< s(1167)*s(1175) s(1188) =< s(1171) s(1189) =< s(1181) s(1190) =< s(1171) s(1190) =< s(1181) s(1191) =< s(1170) s(1192) =< s(1182) s(1193) =< s(1170) s(1193) =< s(1181) s(1194) =< s(1181) s(1193) =< s(1182) s(1194) =< s(1182) s(1195) =< s(1183) s(1196) =< s(1171) s(1196) =< s(1184) s(1197) =< s(1184) s(1196) =< s(1183) s(1197) =< s(1183) s(1198) =< s(1186) s(1199) =< s(1186) s(1198) =< s(1170) s(1199) =< s(1170) s(1198) =< s(1185) s(1200) =< s(1185) s(1201) =< s(1178) s(1202) =< s(1178) s(1201) =< s(1170) s(1202) =< s(1170) s(1201) =< s(1177) s(1203) =< s(1177) s(1201) =< s(1187) s(1203) =< s(1187) with precondition: [V_N>=2,V_m>=3,V_n>=2] * Chain [82]: 2*s(1214)+2*s(1215)+1*s(1216)+2*s(1217)+2*s(1218)+10*s(1219)+2*s(1222)+3*s(1223)+1*s(1229)+1*s(1230)+7*s(1238)+4*s(1239)+2*s(1240)+3*s(1241)+1*s(1242)+1*s(1243)+1*s(1244)+1*s(1245)+1*s(1246)+1*s(1247)+1*s(1248)+1*s(1249)+1*s(1250)+1*s(1251)+1*s(1252)+1*s(1253)+1 Such that:s(1204) =< V_N s(1205) =< V_N+1 s(1206) =< V_N+V_m+V_n s(1207) =< V_N+V_n s(1208) =< V_N/2 s(1209) =< V_m s(1210) =< V_n s(1211) =< V_n/2 s(1212) =< s(1204) s(1213) =< s(1204) s(1212) =< s(1210) s(1213) =< s(1211) s(1214) =< s(1204) s(1215) =< s(1209) s(1216) =< s(1204) s(1216) =< s(1209) s(1217) =< s(1204) s(1218) =< s(1204) s(1219) =< s(1204) s(1220) =< s(1204) s(1219) =< s(1205) s(1221) =< s(1205) s(1222) =< s(1205) s(1217) =< s(1206) s(1218) =< s(1206) s(1219) =< s(1206) s(1223) =< s(1206) s(1217) =< s(1212) s(1218) =< s(1212) s(1219) =< s(1212) s(1223) =< s(1212) s(1217) =< s(1207) s(1218) =< s(1207) s(1219) =< s(1207) s(1223) =< s(1207) s(1220) =< s(1212) s(1221) =< s(1212) s(1222) =< s(1212) s(1218) =< s(1208) s(1219) =< s(1208) s(1218) =< s(1213) s(1219) =< s(1213) s(1217) =< s(1210) s(1218) =< s(1210) s(1219) =< s(1210) s(1223) =< s(1210) s(1218) =< s(1211) s(1219) =< s(1211) s(1224) =< s(1209) s(1225) =< s(1209)-1 s(1226) =< s(1204) s(1227) =< s(1217)*s(1209) s(1228) =< s(1217)*s(1204) s(1229) =< s(1223)*s(1224) s(1230) =< s(1223)*s(1225) s(1231) =< s(1219)*s(1224) s(1232) =< s(1219)*s(1225) s(1233) =< s(1218)*s(1225) s(1234) =< s(1218)*s(1224) s(1235) =< s(1217)*s(1224) s(1236) =< s(1217)*s(1226) s(1237) =< s(1217)*s(1225) s(1238) =< s(1221) s(1239) =< s(1231) s(1240) =< s(1221) s(1240) =< s(1231) s(1241) =< s(1220) s(1242) =< s(1232) s(1243) =< s(1220) s(1243) =< s(1231) s(1244) =< s(1231) s(1243) =< s(1232) s(1244) =< s(1232) s(1245) =< s(1233) s(1246) =< s(1221) s(1246) =< s(1234) s(1247) =< s(1234) s(1246) =< s(1233) s(1247) =< s(1233) s(1248) =< s(1236) s(1249) =< s(1236) s(1248) =< s(1220) s(1249) =< s(1220) s(1248) =< s(1235) s(1250) =< s(1235) s(1251) =< s(1228) s(1252) =< s(1228) s(1251) =< s(1220) s(1252) =< s(1220) s(1251) =< s(1227) s(1253) =< s(1227) s(1251) =< s(1237) s(1253) =< s(1237) with precondition: [V_N>=2,V_m>=4,V_n>=2] Closed-form bounds of eval_nestedLoop_start(V_11,V_14,V_4,V_7,V_9,V_N,V_i_0,V_i_1,V_j_0,V_k_0,V_m,V_n,B): ------------------------------------- * Chain [103] with precondition: [V_N=0,V_m>=1,V_n>=1] - Upper bound: V_m - Complexity: n * Chain [102] with precondition: [V_N=0,V_m>=2,V_n>=1] - Upper bound: V_m - Complexity: n * Chain [101] with precondition: [V_m=0,V_N>=0,V_n>=1] - Upper bound: 2*V_n - Complexity: n * Chain [100] with precondition: [V_m=0,V_N>=0,V_n>=2] - Upper bound: 2*V_n - Complexity: n * Chain [99] with precondition: [V_n=0,V_N>=0,V_m>=0] - Upper bound: 0 - Complexity: constant * Chain [98] with precondition: [0>=V_N+1] - Upper bound: 0 - Complexity: constant * Chain [97] with precondition: [0>=V_m+1] - Upper bound: 0 - Complexity: constant * Chain [96] with precondition: [0>=V_n+1] - Upper bound: 0 - Complexity: constant * Chain [95] with precondition: [V_N>=0,V_m>=0,V_n>=0] - Upper bound: 0 - Complexity: constant * Chain [94] with precondition: [V_N>=0,V_m>=0,V_n>=1] - Upper bound: 0 - Complexity: constant * Chain [93] with precondition: [V_N>=0,V_m>=1,V_n>=1] - Upper bound: 16*V_N*V_m+44*V_N+(V_m-1)*(4*V_N)+(V_N+V_m+V_n)*(2*V_m)+(2*V_m-2)*(V_N+V_m+V_n)+(24*V_N+24)+(6*V_N+6*V_m+6*V_n) - Complexity: n^2 * Chain [92] with precondition: [V_N>=0,V_m>=1,V_n>=2] - Upper bound: 24*V_N*V_m+66*V_N+(V_m-1)*(6*V_N)+(V_N+V_m+V_n)*(3*V_m)+(3*V_m-3)*(V_N+V_m+V_n)+(36*V_N+36)+(9*V_N+9*V_m+9*V_n) - Complexity: n^2 * Chain [91] with precondition: [V_N>=0,V_m>=1,V_n>=2,V_n>=V_N+1] - Upper bound: 8*V_N*V_m+22*V_N+(V_m-1)*(2*V_N)+V_m+(V_N+V_m+V_n)*V_m+(V_m-1)*(V_N+V_m+V_n)+(12*V_N+12)+(3*V_N+3*V_m+3*V_n) - Complexity: n^2 * Chain [90] with precondition: [V_N>=0,V_m>=2,V_n>=2,V_n>=V_N+1] - Upper bound: 8*V_N*V_m+22*V_N+(V_m-1)*(2*V_N)+V_m+(V_N+V_m+V_n)*V_m+(V_m-1)*(V_N+V_m+V_n)+(12*V_N+12)+(3*V_N+3*V_m+3*V_n) - Complexity: n^2 * Chain [89] with precondition: [V_N>=1,V_m>=1,V_n>=1] - Upper bound: 4*V_N+V_m+1 - Complexity: n * Chain [88] with precondition: [V_N>=1,V_m>=2,V_n>=1] - Upper bound: 10*V_N+4*V_m+1 - Complexity: n * Chain [87] with precondition: [V_N>=1,V_m>=3,V_n>=1] - Upper bound: 7*V_N+4*V_m+1 - Complexity: n * Chain [86] with precondition: [V_N>=1,V_m>=4,V_n>=1] - Upper bound: 3*V_N+2*V_m+1 - Complexity: n * Chain [85] with precondition: [V_N>=2,V_m>=1,V_n>=2] - Upper bound: 26*V_N+1+8*V_N*V_m+(V_m-1)*(2*V_N)+V_m+(V_N+V_m+V_n)*V_m+(V_m-1)*(V_N+V_m+V_n)+(12*V_N+12)+(3*V_N+3*V_m+3*V_n) - Complexity: n^2 * Chain [84] with precondition: [V_N>=2,V_m>=2,V_n>=2] - Upper bound: 32*V_N+1+8*V_N*V_m+(V_m-1)*(2*V_N)+4*V_m+(V_N+V_m+V_n)*V_m+(V_m-1)*(V_N+V_m+V_n)+(12*V_N+12)+(3*V_N+3*V_m+3*V_n) - Complexity: n^2 * Chain [83] with precondition: [V_N>=2,V_m>=3,V_n>=2] - Upper bound: 29*V_N+1+8*V_N*V_m+(V_m-1)*(2*V_N)+4*V_m+(V_N+V_m+V_n)*V_m+(V_m-1)*(V_N+V_m+V_n)+(12*V_N+12)+(3*V_N+3*V_m+3*V_n) - Complexity: n^2 * Chain [82] with precondition: [V_N>=2,V_m>=4,V_n>=2] - Upper bound: 25*V_N+1+8*V_N*V_m+(V_m-1)*(2*V_N)+2*V_m+(V_N+V_m+V_n)*V_m+(V_m-1)*(V_N+V_m+V_n)+(12*V_N+12)+(3*V_N+3*V_m+3*V_n) - Complexity: n^2 ### Maximum cost of eval_nestedLoop_start(V_11,V_14,V_4,V_7,V_9,V_N,V_i_0,V_i_1,V_j_0,V_k_0,V_m,V_n,B): max([max([nat(V_m),nat(V_n)*2]),nat(V_N)*3+max([nat(V_N)+max([nat(V_m)+1,nat(V_N)*3+max([nat(V_N)*3+max([nat(V_m)*4+1,nat(V_N)*8*nat(V_m)+nat(V_N)*12+nat(V_N)*2*nat(nat(V_m)+ -1)+nat(V_N+V_m+V_n)*nat(V_m)+nat(V_N+V_m+V_n)*nat(nat(V_m)+ -1)+nat(V_N+1)*12+nat(V_N+V_m+V_n)*3+max([nat(V_m),nat(V_N)*3+max([nat(V_N)+max([nat(V_m)+1,nat(V_N)*3+max([nat(V_N)*3+max([nat(V_m)*4+1,nat(V_N)*8*nat(V_m)+nat(V_N)*22+nat(V_N)*2*nat(nat(V_m)+ -1)+nat(V_N+V_m+V_n)*nat(V_m)+nat(V_N+V_m+V_n)*nat(nat(V_m)+ -1)+nat(V_N+1)*12+nat(V_N+V_m+V_n)*3+(nat(V_N)*8*nat(V_m)+nat(V_N)*12+nat(V_N)*2*nat(nat(V_m)+ -1)+nat(V_N+V_m+V_n)*nat(V_m)+nat(V_N+V_m+V_n)*nat(nat(V_m)+ -1)+nat(V_N+1)*12+nat(V_N+V_m+V_n)*3)]),nat(V_m)*4+1])]),nat(V_m)*2+1])])]),nat(V_m)*4+1])]),nat(V_m)*2+1])]) Asymptotic class: n^2 * Total analysis performed in 5905 ms.