/export/starexec/sandbox/solver/bin/starexec_run_C /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^1)) Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. recursive : [eval_sendMTFValues_2/5,eval_sendMTFValues_3/6,eval_sendMTFValues_bb3_in/5,eval_sendMTFValues_bb4_in/6] 1. recursive : [eval_sendMTFValues__critedge_in/7,eval_sendMTFValues_bb1_in/5,eval_sendMTFValues_bb2_in/5,eval_sendMTFValues_bb3_in_loop_cont/8,eval_sendMTFValues_bb5_in/7,eval_sendMTFValues_bb6_in/8] 2. non_recursive : [eval_sendMTFValues_stop/1] 3. non_recursive : [eval_sendMTFValues_bb7_in/1] 4. non_recursive : [eval_sendMTFValues_bb1_in_loop_cont/2] 5. non_recursive : [eval_sendMTFValues_bb0_in/3] 6. non_recursive : [eval_sendMTFValues_start/3] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into eval_sendMTFValues_bb3_in/5 1. SCC is partially evaluated into eval_sendMTFValues_bb1_in/5 2. SCC is completely evaluated into other SCCs 3. SCC is completely evaluated into other SCCs 4. SCC is completely evaluated into other SCCs 5. SCC is partially evaluated into eval_sendMTFValues_bb0_in/3 6. SCC is partially evaluated into eval_sendMTFValues_start/3 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations eval_sendMTFValues_bb3_in/5 * CE 12 is refined into CE [13] * CE 10 is refined into CE [14] * CE 11 is refined into CE [15] ### Cost equations --> "Loop" of eval_sendMTFValues_bb3_in/5 * CEs [14] --> Loop 13 * CEs [15] --> Loop 14 * CEs [13] --> Loop 15 ### Ranking functions of CR eval_sendMTFValues_bb3_in(V_alphaSize,V_ge_0,B,C,D) * RF of phase [15]: [V_alphaSize-V_ge_0-1] #### Partial ranking functions of CR eval_sendMTFValues_bb3_in(V_alphaSize,V_ge_0,B,C,D) * Partial RF of phase [15]: - RF of loop [15:1]: V_alphaSize-V_ge_0-1 ### Specialization of cost equations eval_sendMTFValues_bb1_in/5 * CE 9 is refined into CE [16] * CE 7 is refined into CE [17,18] * CE 8 is refined into CE [19,20] * CE 6 is discarded (unfeasible) * CE 3 is refined into CE [21,22,23,24] * CE 4 is refined into CE [25,26,27,28] * CE 5 is refined into CE [29,30,31,32] ### Cost equations --> "Loop" of eval_sendMTFValues_bb1_in/5 * CEs [17] --> Loop 16 * CEs [19] --> Loop 17 * CEs [21] --> Loop 18 * CEs [20] --> Loop 19 * CEs [18] --> Loop 20 * CEs [26] --> Loop 21 * CEs [25] --> Loop 22 * CEs [27] --> Loop 23 * CEs [22] --> Loop 24 * CEs [24] --> Loop 25 * CEs [28] --> Loop 26 * CEs [23] --> Loop 27 * CEs [30] --> Loop 28 * CEs [29] --> Loop 29 * CEs [31] --> Loop 30 * CEs [32] --> Loop 31 * CEs [16] --> Loop 32 ### Ranking functions of CR eval_sendMTFValues_bb1_in(V_nGroups,V_alphaSize,V_gs_0,V_nPart_0,B) * RF of phase [16,17,18,19,20,24,25,27]: [V_nPart_0] #### Partial ranking functions of CR eval_sendMTFValues_bb1_in(V_nGroups,V_alphaSize,V_gs_0,V_nPart_0,B) * Partial RF of phase [16,17,18,19,20,24,25,27]: - RF of loop [16:1,17:1,19:1,20:1]: V_nPart_0-1 - RF of loop [16:1,20:1]: V_alphaSize/2-V_gs_0/2-1/2 - RF of loop [17:1,19:1]: V_alphaSize-V_gs_0-1 - RF of loop [18:1,24:1,25:1,27:1]: V_nPart_0 - RF of loop [24:1,27:1]: V_alphaSize-V_gs_0 ### Specialization of cost equations eval_sendMTFValues_bb0_in/3 * CE 2 is refined into CE [33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53] ### Cost equations --> "Loop" of eval_sendMTFValues_bb0_in/3 * CEs [46] --> Loop 33 * CEs [45] --> Loop 34 * CEs [44] --> Loop 35 * CEs [43,52] --> Loop 36 * CEs [42,53] --> Loop 37 * CEs [51] --> Loop 38 * CEs [41] --> Loop 39 * CEs [40] --> Loop 40 * CEs [50] --> Loop 41 * CEs [39] --> Loop 42 * CEs [38] --> Loop 43 * CEs [37] --> Loop 44 * CEs [36] --> Loop 45 * CEs [35,49] --> Loop 46 * CEs [34,48] --> Loop 47 * CEs [33,47] --> Loop 48 ### Ranking functions of CR eval_sendMTFValues_bb0_in(V_nGroups,V_alphaSize,B) #### Partial ranking functions of CR eval_sendMTFValues_bb0_in(V_nGroups,V_alphaSize,B) ### Specialization of cost equations eval_sendMTFValues_start/3 * CE 1 is refined into CE [54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69] ### Cost equations --> "Loop" of eval_sendMTFValues_start/3 * CEs [69] --> Loop 49 * CEs [68] --> Loop 50 * CEs [67] --> Loop 51 * CEs [66] --> Loop 52 * CEs [65] --> Loop 53 * CEs [64] --> Loop 54 * CEs [63] --> Loop 55 * CEs [62] --> Loop 56 * CEs [61] --> Loop 57 * CEs [60] --> Loop 58 * CEs [59] --> Loop 59 * CEs [58] --> Loop 60 * CEs [57] --> Loop 61 * CEs [56] --> Loop 62 * CEs [55] --> Loop 63 * CEs [54] --> Loop 64 ### Ranking functions of CR eval_sendMTFValues_start(V_nGroups,V_alphaSize,B) #### Partial ranking functions of CR eval_sendMTFValues_start(V_nGroups,V_alphaSize,B) Computing Bounds ===================================== #### Cost of chains of eval_sendMTFValues_bb3_in(V_alphaSize,V_ge_0,B,C,D): * Chain [[15],14]: 1*it(15)+0 Such that:it(15) =< -V_ge_0+C with precondition: [B=2,D=0,C>=V_ge_0+1,V_alphaSize>=C+1] * Chain [[15],13]: 1*it(15)+0 Such that:it(15) =< V_alphaSize-V_ge_0 with precondition: [B=2,V_alphaSize=C+1,V_alphaSize>=V_ge_0+2] * Chain [14]: 0 with precondition: [B=2,D=0,C=V_ge_0] * Chain [13]: 0 with precondition: [B=2,V_ge_0=C,V_ge_0+1>=V_alphaSize] #### Cost of chains of eval_sendMTFValues_bb1_in(V_nGroups,V_alphaSize,V_gs_0,V_nPart_0,B): * Chain [[16,17,18,19,20,24,25,27],32]: 1*it(16)+1*it(17)+1*it(18)+1*it(19)+1*it(20)+2*it(24)+1*it(25)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+0 Such that:aux(3) =< V_alphaSize-V_gs_0 aux(4) =< V_alphaSize-V_gs_0+V_nPart_0 aux(6) =< V_alphaSize-V_gs_0+2*V_nPart_0 aux(9) =< 2*V_alphaSize-2*V_gs_0 aux(11) =< 3*V_alphaSize-3*V_gs_0 aux(13) =< V_alphaSize/2-V_gs_0/2 aux(15) =< 3/2*V_alphaSize-3/2*V_gs_0 aux(19) =< V_nPart_0 aux(1) =< aux(3) it(17) =< aux(3) it(19) =< aux(3) it(20) =< aux(3) it(24) =< aux(3) s(13) =< aux(3) it(19) =< aux(4) it(20) =< aux(4) it(24) =< aux(4) s(14) =< aux(4) s(16) =< aux(4) it(20) =< aux(6) s(15) =< aux(6) it(19) =< aux(9) it(20) =< aux(9) s(14) =< aux(9) it(20) =< aux(11) s(15) =< aux(11) it(16) =< aux(13) it(20) =< aux(13) it(24) =< aux(15) s(16) =< aux(15) aux(1) =< aux(19) it(16) =< aux(19) it(17) =< aux(19) it(18) =< aux(19) it(19) =< aux(19) it(20) =< aux(19) it(24) =< aux(19) it(25) =< aux(19) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [B=3,V_gs_0>=0,V_nPart_0>=1,V_nGroups>=V_nPart_0] * Chain [[16,17,18,19,20,24,25,27],31,32]: 1*it(16)+1*it(17)+1*it(18)+1*it(19)+1*it(20)+2*it(24)+1*it(25)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+1 Such that:aux(3) =< V_alphaSize-V_gs_0 aux(4) =< V_alphaSize-V_gs_0+V_nPart_0 aux(6) =< V_alphaSize-V_gs_0+2*V_nPart_0 aux(9) =< 2*V_alphaSize-2*V_gs_0 aux(11) =< 3*V_alphaSize-3*V_gs_0 aux(13) =< V_alphaSize/2-V_gs_0/2 aux(15) =< 3/2*V_alphaSize-3/2*V_gs_0 aux(20) =< V_nPart_0 aux(1) =< aux(3) it(17) =< aux(3) it(19) =< aux(3) it(20) =< aux(3) it(24) =< aux(3) s(13) =< aux(3) it(19) =< aux(4) it(20) =< aux(4) it(24) =< aux(4) s(14) =< aux(4) s(16) =< aux(4) it(20) =< aux(6) s(15) =< aux(6) it(19) =< aux(9) it(20) =< aux(9) s(14) =< aux(9) it(20) =< aux(11) s(15) =< aux(11) it(16) =< aux(13) it(20) =< aux(13) it(24) =< aux(15) s(16) =< aux(15) aux(1) =< aux(20) it(16) =< aux(20) it(17) =< aux(20) it(18) =< aux(20) it(19) =< aux(20) it(20) =< aux(20) it(24) =< aux(20) it(25) =< aux(20) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [B=3,V_gs_0>=0,V_nPart_0>=2,V_nGroups>=V_nPart_0] * Chain [[16,17,18,19,20,24,25,27],30,32]: 1*it(16)+1*it(17)+1*it(18)+1*it(19)+1*it(20)+2*it(24)+1*it(25)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+1*s(19)+1 Such that:aux(10) =< 2*V_alphaSize-2*V_gs_0+2 aux(21) =< V_alphaSize-V_gs_0 aux(22) =< V_alphaSize-V_gs_0+1 aux(23) =< V_alphaSize-V_gs_0+V_nPart_0 aux(24) =< V_alphaSize-V_gs_0+2*V_nPart_0 aux(25) =< 2*V_alphaSize-2*V_gs_0 aux(26) =< 3*V_alphaSize-3*V_gs_0 aux(27) =< 3*V_alphaSize-3*V_gs_0+3 aux(28) =< V_alphaSize/2-V_gs_0/2 aux(29) =< 3/2*V_alphaSize-3/2*V_gs_0 aux(30) =< V_nPart_0 aux(8) =< aux(21) aux(8) =< aux(22) aux(14) =< aux(22) s(19) =< aux(22) s(19) =< aux(24) aux(10) =< aux(25) aux(12) =< aux(26) aux(12) =< aux(27) aux(16) =< aux(27) aux(14) =< aux(28) aux(16) =< aux(29) aux(1) =< aux(21) it(17) =< aux(21) it(19) =< aux(21) it(20) =< aux(21) it(24) =< aux(21) s(13) =< aux(21) it(19) =< aux(23) it(20) =< aux(23) it(24) =< aux(23) s(14) =< aux(23) s(16) =< aux(23) it(18) =< aux(23) it(25) =< aux(23) it(20) =< aux(24) s(15) =< aux(24) it(24) =< aux(24) it(25) =< aux(24) aux(1) =< aux(8) it(17) =< aux(8) it(19) =< aux(8) it(20) =< aux(8) it(24) =< aux(8) s(13) =< aux(8) it(19) =< aux(25) it(20) =< aux(25) s(14) =< aux(25) it(19) =< aux(10) it(20) =< aux(10) it(24) =< aux(10) s(14) =< aux(10) it(20) =< aux(26) s(15) =< aux(26) it(20) =< aux(12) it(24) =< aux(12) s(15) =< aux(12) it(16) =< aux(28) it(20) =< aux(28) it(16) =< aux(14) it(20) =< aux(14) it(24) =< aux(29) s(16) =< aux(29) it(24) =< aux(16) s(16) =< aux(16) aux(1) =< aux(30) it(16) =< aux(30) it(17) =< aux(30) it(18) =< aux(30) it(19) =< aux(30) it(20) =< aux(30) it(24) =< aux(30) it(25) =< aux(30) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [B=3,V_gs_0>=0,V_nPart_0>=2,V_alphaSize>=V_gs_0+1,V_nGroups>=V_nPart_0] * Chain [[16,17,18,19,20,24,25,27],29,32]: 1*it(16)+1*it(17)+1*it(18)+1*it(19)+1*it(20)+2*it(24)+1*it(25)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+1 Such that:aux(3) =< V_alphaSize-V_gs_0 aux(4) =< V_alphaSize-V_gs_0+V_nPart_0 aux(6) =< V_alphaSize-V_gs_0+2*V_nPart_0 aux(9) =< 2*V_alphaSize-2*V_gs_0 aux(11) =< 3*V_alphaSize-3*V_gs_0 aux(13) =< V_alphaSize/2-V_gs_0/2 aux(15) =< 3/2*V_alphaSize-3/2*V_gs_0 aux(31) =< V_nPart_0 aux(1) =< aux(3) it(17) =< aux(3) it(19) =< aux(3) it(20) =< aux(3) it(24) =< aux(3) s(13) =< aux(3) it(19) =< aux(4) it(20) =< aux(4) it(24) =< aux(4) s(14) =< aux(4) s(16) =< aux(4) it(20) =< aux(6) s(15) =< aux(6) it(19) =< aux(9) it(20) =< aux(9) s(14) =< aux(9) it(20) =< aux(11) s(15) =< aux(11) it(16) =< aux(13) it(20) =< aux(13) it(24) =< aux(15) s(16) =< aux(15) aux(1) =< aux(31) it(16) =< aux(31) it(17) =< aux(31) it(18) =< aux(31) it(19) =< aux(31) it(20) =< aux(31) it(24) =< aux(31) it(25) =< aux(31) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [B=3,V_gs_0>=0,V_nPart_0>=2,V_nGroups>=V_nPart_0] * Chain [[16,17,18,19,20,24,25,27],28,32]: 1*it(16)+1*it(17)+1*it(18)+1*it(19)+1*it(20)+2*it(24)+1*it(25)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+1*s(20)+1 Such that:aux(32) =< V_alphaSize-V_gs_0 aux(33) =< V_alphaSize-V_gs_0+V_nPart_0 aux(34) =< V_alphaSize-V_gs_0+2*V_nPart_0 aux(35) =< 2*V_alphaSize-2*V_gs_0 aux(36) =< 3*V_alphaSize-3*V_gs_0 aux(37) =< V_alphaSize/2-V_gs_0/2 aux(38) =< 3/2*V_alphaSize-3/2*V_gs_0 aux(39) =< V_nPart_0 aux(14) =< aux(32) s(20) =< aux(32) s(20) =< aux(34) aux(16) =< aux(36) aux(14) =< aux(37) aux(16) =< aux(38) aux(1) =< aux(32) it(17) =< aux(32) it(19) =< aux(32) it(20) =< aux(32) it(24) =< aux(32) s(13) =< aux(32) it(19) =< aux(33) it(20) =< aux(33) it(24) =< aux(33) s(14) =< aux(33) s(16) =< aux(33) it(18) =< aux(33) it(25) =< aux(33) it(20) =< aux(34) s(15) =< aux(34) it(24) =< aux(34) it(25) =< aux(34) it(19) =< aux(35) it(20) =< aux(35) s(14) =< aux(35) it(24) =< aux(35) it(20) =< aux(36) s(15) =< aux(36) it(24) =< aux(36) it(16) =< aux(37) it(20) =< aux(37) it(16) =< aux(14) it(20) =< aux(14) it(24) =< aux(38) s(16) =< aux(38) it(24) =< aux(16) s(16) =< aux(16) aux(1) =< aux(39) it(16) =< aux(39) it(17) =< aux(39) it(18) =< aux(39) it(19) =< aux(39) it(20) =< aux(39) it(24) =< aux(39) it(25) =< aux(39) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [B=3,V_gs_0>=0,V_nPart_0>=2,V_alphaSize>=V_gs_0+1,V_nGroups>=V_nPart_0] * Chain [32]: 0 with precondition: [B=3,0>=V_nPart_0,V_gs_0>=0,V_nGroups>=V_nPart_0] * Chain [31,32]: 1 with precondition: [V_nPart_0=1,B=3,V_nGroups>=1,V_gs_0>=0,V_gs_0>=V_alphaSize] * Chain [30,32]: 1*s(19)+1 Such that:s(19) =< V_alphaSize-V_gs_0+1 with precondition: [V_nPart_0=1,B=3,V_nGroups>=1,V_gs_0>=0,V_alphaSize>=V_gs_0+1] * Chain [29,32]: 1 with precondition: [V_nPart_0=1,B=3,V_nGroups>=1,V_gs_0>=0] * Chain [28,32]: 1*s(20)+1 Such that:s(20) =< V_alphaSize-V_gs_0 with precondition: [V_nPart_0=1,B=3,V_nGroups>=1,V_gs_0>=0,V_alphaSize>=V_gs_0+1] * Chain [26,[16,17,18,19,20,24,25,27],32]: 2*it(18)+1 Such that:aux(41) =< V_nPart_0 it(18) =< aux(41) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,0>=V_alphaSize,V_nGroups>=2] * Chain [26,[16,17,18,19,20,24,25,27],31,32]: 2*it(18)+2 Such that:aux(43) =< V_nPart_0 it(18) =< aux(43) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,0>=V_alphaSize,V_nGroups>=3] * Chain [26,[16,17,18,19,20,24,25,27],29,32]: 2*it(18)+2 Such that:aux(45) =< V_nPart_0 it(18) =< aux(45) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,0>=V_alphaSize,V_nGroups>=3] * Chain [26,32]: 1 with precondition: [V_nGroups=1,V_gs_0=0,V_nPart_0=1,B=3,0>=V_alphaSize] * Chain [26,31,32]: 2 with precondition: [V_nGroups=2,V_gs_0=0,V_nPart_0=2,B=3,0>=V_alphaSize] * Chain [26,29,32]: 2 with precondition: [V_nGroups=2,V_gs_0=0,V_nPart_0=2,B=3,0>=V_alphaSize] * Chain [23,[16,17,18,19,20,24,25,27],32]: 2*it(18)+1*s(21)+1 Such that:s(21) =< V_alphaSize+1 aux(47) =< V_nPart_0 it(18) =< aux(47) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,V_nGroups>=2,V_alphaSize>=1] * Chain [23,[16,17,18,19,20,24,25,27],31,32]: 2*it(18)+1*s(21)+2 Such that:s(21) =< V_alphaSize+1 aux(49) =< V_nPart_0 it(18) =< aux(49) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,V_nGroups>=3,V_alphaSize>=1] * Chain [23,[16,17,18,19,20,24,25,27],29,32]: 2*it(18)+1*s(21)+2 Such that:s(21) =< V_alphaSize+1 aux(51) =< V_nPart_0 it(18) =< aux(51) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,V_nGroups>=3,V_alphaSize>=1] * Chain [23,32]: 1*s(21)+1 Such that:s(21) =< V_alphaSize+1 with precondition: [V_nGroups=1,V_gs_0=0,V_nPart_0=1,B=3,V_alphaSize>=1] * Chain [23,31,32]: 1*s(21)+2 Such that:s(21) =< V_alphaSize+1 with precondition: [V_nGroups=2,V_gs_0=0,V_nPart_0=2,B=3,V_alphaSize>=1] * Chain [23,29,32]: 1*s(21)+2 Such that:s(21) =< V_alphaSize+1 with precondition: [V_nGroups=2,V_gs_0=0,V_nPart_0=2,B=3,V_alphaSize>=1] * Chain [22,[16,17,18,19,20,24,25,27],32]: 1*it(16)+1*it(17)+2*it(18)+1*it(19)+1*it(20)+2*it(24)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+1 Such that:aux(3) =< V_alphaSize aux(4) =< V_alphaSize+V_nPart_0 aux(6) =< V_alphaSize+2*V_nPart_0 aux(9) =< 2*V_alphaSize aux(11) =< 3*V_alphaSize aux(13) =< V_alphaSize/2 aux(15) =< 3/2*V_alphaSize aux(19) =< V_nPart_0 aux(1) =< aux(3) it(17) =< aux(3) it(19) =< aux(3) it(20) =< aux(3) it(24) =< aux(3) s(13) =< aux(3) it(19) =< aux(4) it(20) =< aux(4) it(24) =< aux(4) s(14) =< aux(4) s(16) =< aux(4) it(20) =< aux(6) s(15) =< aux(6) it(19) =< aux(9) it(20) =< aux(9) s(14) =< aux(9) it(20) =< aux(11) s(15) =< aux(11) it(16) =< aux(13) it(20) =< aux(13) it(24) =< aux(15) s(16) =< aux(15) aux(1) =< aux(19) it(16) =< aux(19) it(17) =< aux(19) it(18) =< aux(19) it(19) =< aux(19) it(20) =< aux(19) it(24) =< aux(19) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,V_nGroups>=2] * Chain [22,[16,17,18,19,20,24,25,27],31,32]: 1*it(16)+1*it(17)+2*it(18)+1*it(19)+1*it(20)+2*it(24)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+2 Such that:aux(3) =< V_alphaSize aux(4) =< V_alphaSize+V_nPart_0 aux(6) =< V_alphaSize+2*V_nPart_0 aux(9) =< 2*V_alphaSize aux(11) =< 3*V_alphaSize aux(13) =< V_alphaSize/2 aux(15) =< 3/2*V_alphaSize aux(20) =< V_nPart_0 aux(1) =< aux(3) it(17) =< aux(3) it(19) =< aux(3) it(20) =< aux(3) it(24) =< aux(3) s(13) =< aux(3) it(19) =< aux(4) it(20) =< aux(4) it(24) =< aux(4) s(14) =< aux(4) s(16) =< aux(4) it(20) =< aux(6) s(15) =< aux(6) it(19) =< aux(9) it(20) =< aux(9) s(14) =< aux(9) it(20) =< aux(11) s(15) =< aux(11) it(16) =< aux(13) it(20) =< aux(13) it(24) =< aux(15) s(16) =< aux(15) aux(1) =< aux(20) it(16) =< aux(20) it(17) =< aux(20) it(18) =< aux(20) it(19) =< aux(20) it(20) =< aux(20) it(24) =< aux(20) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,V_nGroups>=3] * Chain [22,[16,17,18,19,20,24,25,27],30,32]: 1*it(16)+1*it(17)+1*it(18)+1*it(19)+1*it(20)+2*it(24)+1*it(25)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+1*s(19)+2 Such that:aux(21) =< V_alphaSize aux(22) =< V_alphaSize+1 aux(23) =< V_alphaSize+V_nPart_0 aux(24) =< V_alphaSize+2*V_nPart_0 aux(25) =< 2*V_alphaSize aux(10) =< 2*V_alphaSize+2 aux(26) =< 3*V_alphaSize aux(27) =< 3*V_alphaSize+3 aux(28) =< V_alphaSize/2 aux(29) =< 3/2*V_alphaSize aux(30) =< V_nPart_0 aux(8) =< aux(21) aux(8) =< aux(22) aux(14) =< aux(22) s(19) =< aux(22) s(19) =< aux(24) aux(10) =< aux(25) aux(12) =< aux(26) aux(12) =< aux(27) aux(16) =< aux(27) aux(14) =< aux(28) aux(16) =< aux(29) aux(1) =< aux(21) it(17) =< aux(21) it(19) =< aux(21) it(20) =< aux(21) it(24) =< aux(21) s(13) =< aux(21) it(19) =< aux(23) it(20) =< aux(23) it(24) =< aux(23) s(14) =< aux(23) s(16) =< aux(23) it(18) =< aux(23) it(25) =< aux(23) it(20) =< aux(24) s(15) =< aux(24) it(24) =< aux(24) it(25) =< aux(24) aux(1) =< aux(8) it(17) =< aux(8) it(19) =< aux(8) it(20) =< aux(8) it(24) =< aux(8) s(13) =< aux(8) it(19) =< aux(25) it(20) =< aux(25) s(14) =< aux(25) it(19) =< aux(10) it(20) =< aux(10) it(24) =< aux(10) s(14) =< aux(10) it(20) =< aux(26) s(15) =< aux(26) it(20) =< aux(12) it(24) =< aux(12) s(15) =< aux(12) it(16) =< aux(28) it(20) =< aux(28) it(16) =< aux(14) it(20) =< aux(14) it(24) =< aux(29) s(16) =< aux(29) it(24) =< aux(16) s(16) =< aux(16) aux(1) =< aux(30) it(16) =< aux(30) it(17) =< aux(30) it(18) =< aux(30) it(19) =< aux(30) it(20) =< aux(30) it(24) =< aux(30) it(25) =< aux(30) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,V_nGroups>=3,V_alphaSize>=1] * Chain [22,[16,17,18,19,20,24,25,27],29,32]: 1*it(16)+1*it(17)+2*it(18)+1*it(19)+1*it(20)+2*it(24)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+2 Such that:aux(3) =< V_alphaSize aux(4) =< V_alphaSize+V_nPart_0 aux(6) =< V_alphaSize+2*V_nPart_0 aux(9) =< 2*V_alphaSize aux(11) =< 3*V_alphaSize aux(13) =< V_alphaSize/2 aux(15) =< 3/2*V_alphaSize aux(31) =< V_nPart_0 aux(1) =< aux(3) it(17) =< aux(3) it(19) =< aux(3) it(20) =< aux(3) it(24) =< aux(3) s(13) =< aux(3) it(19) =< aux(4) it(20) =< aux(4) it(24) =< aux(4) s(14) =< aux(4) s(16) =< aux(4) it(20) =< aux(6) s(15) =< aux(6) it(19) =< aux(9) it(20) =< aux(9) s(14) =< aux(9) it(20) =< aux(11) s(15) =< aux(11) it(16) =< aux(13) it(20) =< aux(13) it(24) =< aux(15) s(16) =< aux(15) aux(1) =< aux(31) it(16) =< aux(31) it(17) =< aux(31) it(18) =< aux(31) it(19) =< aux(31) it(20) =< aux(31) it(24) =< aux(31) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,V_nGroups>=3] * Chain [22,[16,17,18,19,20,24,25,27],28,32]: 1*it(16)+1*it(17)+1*it(18)+1*it(19)+1*it(20)+2*it(24)+1*it(25)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+1*s(20)+2 Such that:aux(32) =< V_alphaSize aux(33) =< V_alphaSize+V_nPart_0 aux(34) =< V_alphaSize+2*V_nPart_0 aux(35) =< 2*V_alphaSize aux(36) =< 3*V_alphaSize aux(37) =< V_alphaSize/2 aux(38) =< 3/2*V_alphaSize aux(39) =< V_nPart_0 aux(14) =< aux(32) s(20) =< aux(32) s(20) =< aux(34) aux(16) =< aux(36) aux(14) =< aux(37) aux(16) =< aux(38) aux(1) =< aux(32) it(17) =< aux(32) it(19) =< aux(32) it(20) =< aux(32) it(24) =< aux(32) s(13) =< aux(32) it(19) =< aux(33) it(20) =< aux(33) it(24) =< aux(33) s(14) =< aux(33) s(16) =< aux(33) it(18) =< aux(33) it(25) =< aux(33) it(20) =< aux(34) s(15) =< aux(34) it(24) =< aux(34) it(25) =< aux(34) it(19) =< aux(35) it(20) =< aux(35) s(14) =< aux(35) it(24) =< aux(35) it(20) =< aux(36) s(15) =< aux(36) it(24) =< aux(36) it(16) =< aux(37) it(20) =< aux(37) it(16) =< aux(14) it(20) =< aux(14) it(24) =< aux(38) s(16) =< aux(38) it(24) =< aux(16) s(16) =< aux(16) aux(1) =< aux(39) it(16) =< aux(39) it(17) =< aux(39) it(18) =< aux(39) it(19) =< aux(39) it(20) =< aux(39) it(24) =< aux(39) it(25) =< aux(39) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,V_nGroups>=3,V_alphaSize>=1] * Chain [22,32]: 1 with precondition: [V_nGroups=1,V_gs_0=0,V_nPart_0=1,B=3] * Chain [22,31,32]: 2 with precondition: [V_nGroups=2,V_gs_0=0,V_nPart_0=2,B=3,0>=V_alphaSize] * Chain [22,30,32]: 1*s(19)+2 Such that:s(19) =< V_alphaSize+1 with precondition: [V_nGroups=2,V_gs_0=0,V_nPart_0=2,B=3,V_alphaSize>=1] * Chain [22,29,32]: 2 with precondition: [V_nGroups=2,V_gs_0=0,V_nPart_0=2,B=3] * Chain [22,28,32]: 1*s(20)+2 Such that:s(20) =< V_alphaSize with precondition: [V_nGroups=2,V_gs_0=0,V_nPart_0=2,B=3,V_alphaSize>=1] * Chain [21,[16,17,18,19,20,24,25,27],32]: 1*it(16)+1*it(17)+2*it(18)+1*it(19)+1*it(20)+2*it(24)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+1*s(22)+1 Such that:aux(4) =< V_alphaSize+V_nPart_0 aux(6) =< V_alphaSize+2*V_nPart_0 aux(9) =< 2*V_alphaSize aux(13) =< V_alphaSize/2 aux(15) =< 3/2*V_alphaSize aux(19) =< V_nPart_0 aux(52) =< V_alphaSize aux(53) =< 3*V_alphaSize aux(13) =< aux(52) s(22) =< aux(52) aux(15) =< aux(53) s(22) =< aux(53) aux(1) =< aux(52) it(17) =< aux(52) it(19) =< aux(52) it(20) =< aux(52) it(24) =< aux(52) s(13) =< aux(52) it(19) =< aux(4) it(20) =< aux(4) it(24) =< aux(4) s(14) =< aux(4) s(16) =< aux(4) it(20) =< aux(6) s(15) =< aux(6) it(19) =< aux(9) it(20) =< aux(9) s(14) =< aux(9) it(20) =< aux(53) s(15) =< aux(53) it(16) =< aux(13) it(20) =< aux(13) it(24) =< aux(15) s(16) =< aux(15) aux(1) =< aux(19) it(16) =< aux(19) it(17) =< aux(19) it(18) =< aux(19) it(19) =< aux(19) it(20) =< aux(19) it(24) =< aux(19) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,V_nGroups>=2,V_alphaSize>=1] * Chain [21,[16,17,18,19,20,24,25,27],31,32]: 1*it(16)+1*it(17)+2*it(18)+1*it(19)+1*it(20)+2*it(24)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+1*s(22)+2 Such that:aux(4) =< V_alphaSize+V_nPart_0 aux(6) =< V_alphaSize+2*V_nPart_0 aux(9) =< 2*V_alphaSize aux(13) =< V_alphaSize/2 aux(15) =< 3/2*V_alphaSize aux(20) =< V_nPart_0 aux(54) =< V_alphaSize aux(55) =< 3*V_alphaSize aux(13) =< aux(54) s(22) =< aux(54) aux(15) =< aux(55) s(22) =< aux(55) aux(1) =< aux(54) it(17) =< aux(54) it(19) =< aux(54) it(20) =< aux(54) it(24) =< aux(54) s(13) =< aux(54) it(19) =< aux(4) it(20) =< aux(4) it(24) =< aux(4) s(14) =< aux(4) s(16) =< aux(4) it(20) =< aux(6) s(15) =< aux(6) it(19) =< aux(9) it(20) =< aux(9) s(14) =< aux(9) it(20) =< aux(55) s(15) =< aux(55) it(16) =< aux(13) it(20) =< aux(13) it(24) =< aux(15) s(16) =< aux(15) aux(1) =< aux(20) it(16) =< aux(20) it(17) =< aux(20) it(18) =< aux(20) it(19) =< aux(20) it(20) =< aux(20) it(24) =< aux(20) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,V_nGroups>=3,V_alphaSize>=1] * Chain [21,[16,17,18,19,20,24,25,27],30,32]: 1*it(16)+1*it(17)+1*it(18)+1*it(19)+1*it(20)+2*it(24)+1*it(25)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+1*s(19)+1*s(22)+2 Such that:aux(22) =< V_alphaSize+1 aux(23) =< V_alphaSize+V_nPart_0 aux(24) =< V_alphaSize+2*V_nPart_0 aux(10) =< 2*V_alphaSize+2 aux(28) =< V_alphaSize/2 aux(29) =< 3/2*V_alphaSize aux(30) =< V_nPart_0 aux(56) =< V_alphaSize aux(57) =< 2*V_alphaSize aux(58) =< 3*V_alphaSize aux(59) =< 3*V_alphaSize+3 aux(22) =< aux(56) aux(28) =< aux(56) s(22) =< aux(56) aux(10) =< aux(57) aux(27) =< aux(58) aux(29) =< aux(58) aux(27) =< aux(59) s(22) =< aux(59) aux(8) =< aux(56) aux(8) =< aux(22) aux(14) =< aux(22) s(19) =< aux(22) s(19) =< aux(24) aux(12) =< aux(58) aux(12) =< aux(27) aux(16) =< aux(27) aux(14) =< aux(28) aux(16) =< aux(29) aux(1) =< aux(56) it(17) =< aux(56) it(19) =< aux(56) it(20) =< aux(56) it(24) =< aux(56) s(13) =< aux(56) it(19) =< aux(23) it(20) =< aux(23) it(24) =< aux(23) s(14) =< aux(23) s(16) =< aux(23) it(18) =< aux(23) it(25) =< aux(23) it(20) =< aux(24) s(15) =< aux(24) it(24) =< aux(24) it(25) =< aux(24) aux(1) =< aux(8) it(17) =< aux(8) it(19) =< aux(8) it(20) =< aux(8) it(24) =< aux(8) s(13) =< aux(8) it(19) =< aux(57) it(20) =< aux(57) s(14) =< aux(57) it(19) =< aux(10) it(20) =< aux(10) it(24) =< aux(10) s(14) =< aux(10) it(20) =< aux(58) s(15) =< aux(58) it(20) =< aux(12) it(24) =< aux(12) s(15) =< aux(12) it(16) =< aux(28) it(20) =< aux(28) it(16) =< aux(14) it(20) =< aux(14) it(24) =< aux(29) s(16) =< aux(29) it(24) =< aux(16) s(16) =< aux(16) aux(1) =< aux(30) it(16) =< aux(30) it(17) =< aux(30) it(18) =< aux(30) it(19) =< aux(30) it(20) =< aux(30) it(24) =< aux(30) it(25) =< aux(30) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,V_nGroups>=3,V_alphaSize>=2] * Chain [21,[16,17,18,19,20,24,25,27],29,32]: 1*it(16)+1*it(17)+2*it(18)+1*it(19)+1*it(20)+2*it(24)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+1*s(22)+2 Such that:aux(4) =< V_alphaSize+V_nPart_0 aux(6) =< V_alphaSize+2*V_nPart_0 aux(9) =< 2*V_alphaSize aux(13) =< V_alphaSize/2 aux(15) =< 3/2*V_alphaSize aux(31) =< V_nPart_0 aux(60) =< V_alphaSize aux(61) =< 3*V_alphaSize aux(13) =< aux(60) s(22) =< aux(60) aux(15) =< aux(61) s(22) =< aux(61) aux(1) =< aux(60) it(17) =< aux(60) it(19) =< aux(60) it(20) =< aux(60) it(24) =< aux(60) s(13) =< aux(60) it(19) =< aux(4) it(20) =< aux(4) it(24) =< aux(4) s(14) =< aux(4) s(16) =< aux(4) it(20) =< aux(6) s(15) =< aux(6) it(19) =< aux(9) it(20) =< aux(9) s(14) =< aux(9) it(20) =< aux(61) s(15) =< aux(61) it(16) =< aux(13) it(20) =< aux(13) it(24) =< aux(15) s(16) =< aux(15) aux(1) =< aux(31) it(16) =< aux(31) it(17) =< aux(31) it(18) =< aux(31) it(19) =< aux(31) it(20) =< aux(31) it(24) =< aux(31) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,V_nGroups>=3,V_alphaSize>=1] * Chain [21,[16,17,18,19,20,24,25,27],28,32]: 1*it(16)+1*it(17)+1*it(18)+1*it(19)+1*it(20)+2*it(24)+1*it(25)+1*s(13)+1*s(14)+1*s(15)+1*s(16)+1*s(17)+1*s(18)+1*s(20)+1*s(22)+2 Such that:aux(33) =< V_alphaSize+V_nPart_0 aux(34) =< V_alphaSize+2*V_nPart_0 aux(35) =< 2*V_alphaSize aux(37) =< V_alphaSize/2 aux(38) =< 3/2*V_alphaSize aux(39) =< V_nPart_0 aux(62) =< V_alphaSize aux(63) =< 3*V_alphaSize aux(37) =< aux(62) s(22) =< aux(62) aux(38) =< aux(63) s(22) =< aux(63) aux(14) =< aux(62) s(20) =< aux(62) s(20) =< aux(34) aux(16) =< aux(63) aux(14) =< aux(37) aux(16) =< aux(38) aux(1) =< aux(62) it(17) =< aux(62) it(19) =< aux(62) it(20) =< aux(62) it(24) =< aux(62) s(13) =< aux(62) it(19) =< aux(33) it(20) =< aux(33) it(24) =< aux(33) s(14) =< aux(33) s(16) =< aux(33) it(18) =< aux(33) it(25) =< aux(33) it(20) =< aux(34) s(15) =< aux(34) it(24) =< aux(34) it(25) =< aux(34) it(19) =< aux(35) it(20) =< aux(35) s(14) =< aux(35) it(24) =< aux(35) it(20) =< aux(63) s(15) =< aux(63) it(24) =< aux(63) it(16) =< aux(37) it(20) =< aux(37) it(16) =< aux(14) it(20) =< aux(14) it(24) =< aux(38) s(16) =< aux(38) it(24) =< aux(16) s(16) =< aux(16) aux(1) =< aux(39) it(16) =< aux(39) it(17) =< aux(39) it(18) =< aux(39) it(19) =< aux(39) it(20) =< aux(39) it(24) =< aux(39) it(25) =< aux(39) s(18) =< aux(1)*2 s(17) =< aux(1) with precondition: [V_gs_0=0,B=3,V_nGroups=V_nPart_0,V_nGroups>=3,V_alphaSize>=2] * Chain [21,32]: 1*s(22)+1 Such that:s(22) =< V_alphaSize with precondition: [V_nGroups=1,V_gs_0=0,V_nPart_0=1,B=3,V_alphaSize>=1] * Chain [21,31,32]: 1*s(22)+2 Such that:s(22) =< V_alphaSize with precondition: [V_nGroups=2,V_gs_0=0,V_nPart_0=2,B=3,V_alphaSize>=1] * Chain [21,30,32]: 2*s(19)+2 Such that:aux(64) =< V_alphaSize aux(65) =< V_alphaSize+1 s(19) =< aux(64) s(19) =< aux(65) with precondition: [V_nGroups=2,V_gs_0=0,V_nPart_0=2,B=3,V_alphaSize>=2] * Chain [21,29,32]: 1*s(22)+2 Such that:s(22) =< V_alphaSize with precondition: [V_nGroups=2,V_gs_0=0,V_nPart_0=2,B=3,V_alphaSize>=1] * Chain [21,28,32]: 2*s(20)+2 Such that:aux(66) =< V_alphaSize s(20) =< aux(66) with precondition: [V_nGroups=2,V_gs_0=0,V_nPart_0=2,B=3,V_alphaSize>=2] #### Cost of chains of eval_sendMTFValues_bb0_in(V_nGroups,V_alphaSize,B): * Chain [48]: 1 with precondition: [V_nGroups=1] * Chain [47]: 1 with precondition: [V_nGroups=1,0>=V_alphaSize] * Chain [46]: 2*s(371)+2*s(372)+1 Such that:aux(113) =< V_alphaSize aux(114) =< V_alphaSize+1 s(371) =< aux(113) s(372) =< aux(114) with precondition: [V_nGroups=1,V_alphaSize>=1] * Chain [45]: 2 with precondition: [V_nGroups=2] * Chain [44]: 2 with precondition: [V_nGroups=2,0>=V_alphaSize] * Chain [43]: 3*s(377)+3*s(378)+2 Such that:s(375) =< V_alphaSize s(376) =< V_alphaSize+1 s(377) =< s(375) s(378) =< s(376) with precondition: [V_nGroups=2,V_alphaSize>=1] * Chain [42]: 2*s(381)+2*s(382)+2 Such that:s(380) =< V_alphaSize s(379) =< V_alphaSize+1 s(381) =< s(380) s(382) =< s(380) s(382) =< s(379) with precondition: [V_nGroups=2,V_alphaSize>=2] * Chain [41]: 0 with precondition: [0>=V_nGroups] * Chain [40]: 2*s(384)+1 Such that:s(383) =< V_nGroups s(384) =< s(383) with precondition: [0>=V_alphaSize,V_nGroups>=2] * Chain [39]: 4*s(386)+2 Such that:s(385) =< V_nGroups s(386) =< s(385) with precondition: [0>=V_alphaSize,V_nGroups>=3] * Chain [38]: 1*s(396)+1*s(397)+1*s(398)+2*s(399)+1*s(400)+1*s(401)+1*s(402)+1*s(403)+1*s(404)+2*s(405)+1*s(407)+1*s(408)+0 Such that:s(394) =< V_nGroups s(388) =< V_nGroups+V_alphaSize s(389) =< 2*V_nGroups+V_alphaSize s(387) =< V_alphaSize s(390) =< 2*V_alphaSize s(391) =< 3*V_alphaSize s(392) =< V_alphaSize/2 s(393) =< 3/2*V_alphaSize s(395) =< s(387) s(396) =< s(387) s(397) =< s(387) s(398) =< s(387) s(399) =< s(387) s(400) =< s(387) s(397) =< s(388) s(398) =< s(388) s(399) =< s(388) s(401) =< s(388) s(402) =< s(388) s(398) =< s(389) s(403) =< s(389) s(397) =< s(390) s(398) =< s(390) s(401) =< s(390) s(398) =< s(391) s(403) =< s(391) s(404) =< s(392) s(398) =< s(392) s(399) =< s(393) s(402) =< s(393) s(395) =< s(394) s(404) =< s(394) s(396) =< s(394) s(405) =< s(394) s(397) =< s(394) s(398) =< s(394) s(399) =< s(394) s(407) =< s(395)*2 s(408) =< s(395) with precondition: [V_nGroups>=1] * Chain [37]: 3*s(418)+3*s(419)+3*s(420)+6*s(421)+3*s(422)+3*s(423)+3*s(424)+3*s(425)+3*s(426)+6*s(427)+3*s(428)+3*s(429)+1 Such that:aux(115) =< V_nGroups aux(116) =< V_nGroups+V_alphaSize aux(117) =< 2*V_nGroups+V_alphaSize aux(118) =< V_alphaSize aux(119) =< 2*V_alphaSize aux(120) =< 3*V_alphaSize aux(121) =< V_alphaSize/2 aux(122) =< 3/2*V_alphaSize s(417) =< aux(118) s(418) =< aux(118) s(419) =< aux(118) s(420) =< aux(118) s(421) =< aux(118) s(422) =< aux(118) s(419) =< aux(116) s(420) =< aux(116) s(421) =< aux(116) s(423) =< aux(116) s(424) =< aux(116) s(420) =< aux(117) s(425) =< aux(117) s(419) =< aux(119) s(420) =< aux(119) s(423) =< aux(119) s(420) =< aux(120) s(425) =< aux(120) s(426) =< aux(121) s(420) =< aux(121) s(421) =< aux(122) s(424) =< aux(122) s(417) =< aux(115) s(426) =< aux(115) s(418) =< aux(115) s(427) =< aux(115) s(419) =< aux(115) s(420) =< aux(115) s(421) =< aux(115) s(428) =< s(417)*2 s(429) =< s(417) with precondition: [V_nGroups>=2] * Chain [36]: 1*s(452)+4*s(460)+1*s(461)+2*s(463)+2*s(464)+1*s(465)+2*s(466)+2*s(467)+2*s(468)+1*s(469)+2*s(470)+1*s(471)+2*s(472)+2*s(473)+1*s(486)+1*s(491)+2*s(492)+1*s(495)+2*s(496)+2*s(497)+1*s(499)+1*s(504)+1*s(508)+1*s(509)+1*s(510)+2*s(511)+1*s(512)+1*s(513)+1*s(514)+1*s(515)+1*s(516)+1*s(517)+1*s(518)+1 Such that:s(475) =< 2*V_alphaSize+2 s(476) =< 3*V_alphaSize+3 aux(123) =< V_nGroups aux(124) =< V_nGroups+V_alphaSize aux(125) =< 2*V_nGroups+V_alphaSize aux(126) =< V_alphaSize aux(127) =< V_alphaSize+1 aux(128) =< 2*V_alphaSize aux(129) =< 3*V_alphaSize aux(130) =< V_alphaSize/2 aux(131) =< 3/2*V_alphaSize s(452) =< aux(127) s(457) =< aux(130) s(458) =< aux(131) s(460) =< aux(123) s(457) =< aux(126) s(461) =< aux(126) s(458) =< aux(129) s(461) =< aux(129) s(462) =< aux(126) s(463) =< aux(126) s(464) =< aux(126) s(465) =< aux(126) s(466) =< aux(126) s(467) =< aux(126) s(464) =< aux(124) s(465) =< aux(124) s(466) =< aux(124) s(468) =< aux(124) s(469) =< aux(124) s(465) =< aux(125) s(470) =< aux(125) s(464) =< aux(128) s(465) =< aux(128) s(468) =< aux(128) s(465) =< aux(129) s(470) =< aux(129) s(471) =< s(457) s(465) =< s(457) s(466) =< s(458) s(469) =< s(458) s(462) =< aux(123) s(471) =< aux(123) s(463) =< aux(123) s(464) =< aux(123) s(465) =< aux(123) s(466) =< aux(123) s(472) =< s(462)*2 s(473) =< s(462) s(486) =< aux(126) s(486) =< aux(125) s(491) =< aux(126) s(492) =< aux(126) s(491) =< aux(124) s(492) =< aux(124) s(495) =< aux(124) s(496) =< aux(124) s(497) =< aux(124) s(491) =< aux(125) s(492) =< aux(125) s(497) =< aux(125) s(491) =< aux(128) s(492) =< aux(128) s(491) =< aux(129) s(492) =< aux(129) s(499) =< aux(130) s(491) =< aux(130) s(499) =< s(457) s(491) =< s(457) s(492) =< aux(131) s(495) =< aux(131) s(492) =< s(458) s(495) =< s(458) s(499) =< aux(123) s(496) =< aux(123) s(491) =< aux(123) s(492) =< aux(123) s(497) =< aux(123) s(502) =< aux(126) s(502) =< aux(127) s(503) =< aux(127) s(504) =< aux(127) s(504) =< aux(125) s(475) =< aux(128) s(505) =< aux(129) s(505) =< s(476) s(506) =< s(476) s(503) =< aux(130) s(506) =< aux(131) s(507) =< aux(126) s(508) =< aux(126) s(509) =< aux(126) s(510) =< aux(126) s(511) =< aux(126) s(512) =< aux(126) s(509) =< aux(124) s(510) =< aux(124) s(511) =< aux(124) s(513) =< aux(124) s(514) =< aux(124) s(510) =< aux(125) s(515) =< aux(125) s(511) =< aux(125) s(507) =< s(502) s(508) =< s(502) s(509) =< s(502) s(510) =< s(502) s(511) =< s(502) s(512) =< s(502) s(509) =< aux(128) s(510) =< aux(128) s(513) =< aux(128) s(509) =< s(475) s(510) =< s(475) s(511) =< s(475) s(513) =< s(475) s(510) =< aux(129) s(515) =< aux(129) s(510) =< s(505) s(511) =< s(505) s(515) =< s(505) s(516) =< aux(130) s(510) =< aux(130) s(516) =< s(503) s(510) =< s(503) s(511) =< aux(131) s(514) =< aux(131) s(511) =< s(506) s(514) =< s(506) s(507) =< aux(123) s(516) =< aux(123) s(508) =< aux(123) s(509) =< aux(123) s(510) =< aux(123) s(511) =< aux(123) s(517) =< s(507)*2 s(518) =< s(507) with precondition: [V_nGroups>=2,V_alphaSize>=1] * Chain [35]: 2*s(528)+2*s(529)+2*s(530)+4*s(531)+2*s(532)+2*s(533)+2*s(534)+2*s(535)+2*s(536)+4*s(537)+2*s(538)+2*s(539)+2 Such that:s(526) =< V_nGroups s(520) =< V_nGroups+V_alphaSize s(521) =< 2*V_nGroups+V_alphaSize s(519) =< V_alphaSize s(522) =< 2*V_alphaSize s(523) =< 3*V_alphaSize s(524) =< V_alphaSize/2 s(525) =< 3/2*V_alphaSize s(527) =< s(519) s(528) =< s(519) s(529) =< s(519) s(530) =< s(519) s(531) =< s(519) s(532) =< s(519) s(529) =< s(520) s(530) =< s(520) s(531) =< s(520) s(533) =< s(520) s(534) =< s(520) s(530) =< s(521) s(535) =< s(521) s(529) =< s(522) s(530) =< s(522) s(533) =< s(522) s(530) =< s(523) s(535) =< s(523) s(536) =< s(524) s(530) =< s(524) s(531) =< s(525) s(534) =< s(525) s(527) =< s(526) s(536) =< s(526) s(528) =< s(526) s(537) =< s(526) s(529) =< s(526) s(530) =< s(526) s(531) =< s(526) s(538) =< s(527)*2 s(539) =< s(527) with precondition: [V_nGroups>=3] * Chain [34]: 2*s(551)+1*s(554)+3*s(556)+3*s(557)+1*s(558)+2*s(559)+3*s(560)+3*s(561)+1*s(562)+2*s(563)+2*s(564)+3*s(565)+1*s(566)+3*s(567)+3*s(568)+1*s(571)+1*s(575)+1*s(576)+1*s(577)+2*s(578)+1*s(579)+1*s(580)+1*s(581)+1*s(582)+1*s(583)+1*s(584)+1*s(585)+8*s(586)+2*s(587)+2*s(588)+4*s(589)+2*s(590)+2*s(591)+2 Such that:s(550) =< V_nGroups s(544) =< V_nGroups+V_alphaSize s(545) =< 2*V_nGroups+V_alphaSize s(542) =< V_alphaSize s(543) =< V_alphaSize+1 s(546) =< 2*V_alphaSize s(540) =< 2*V_alphaSize+2 s(547) =< 3*V_alphaSize s(541) =< 3*V_alphaSize+3 s(548) =< V_alphaSize/2 s(549) =< 3/2*V_alphaSize s(551) =< s(543) s(552) =< s(548) s(553) =< s(549) s(552) =< s(542) s(554) =< s(542) s(554) =< s(545) s(553) =< s(547) s(555) =< s(542) s(556) =< s(542) s(557) =< s(542) s(558) =< s(542) s(559) =< s(542) s(560) =< s(542) s(557) =< s(544) s(558) =< s(544) s(559) =< s(544) s(561) =< s(544) s(562) =< s(544) s(563) =< s(544) s(564) =< s(544) s(558) =< s(545) s(565) =< s(545) s(559) =< s(545) s(564) =< s(545) s(557) =< s(546) s(558) =< s(546) s(561) =< s(546) s(559) =< s(546) s(558) =< s(547) s(565) =< s(547) s(559) =< s(547) s(566) =< s(548) s(558) =< s(548) s(566) =< s(552) s(558) =< s(552) s(559) =< s(549) s(562) =< s(549) s(559) =< s(553) s(562) =< s(553) s(555) =< s(550) s(566) =< s(550) s(556) =< s(550) s(563) =< s(550) s(557) =< s(550) s(558) =< s(550) s(559) =< s(550) s(564) =< s(550) s(567) =< s(555)*2 s(568) =< s(555) s(569) =< s(542) s(569) =< s(543) s(570) =< s(543) s(571) =< s(543) s(571) =< s(545) s(540) =< s(546) s(572) =< s(547) s(572) =< s(541) s(573) =< s(541) s(570) =< s(548) s(573) =< s(549) s(574) =< s(542) s(575) =< s(542) s(576) =< s(542) s(577) =< s(542) s(578) =< s(542) s(579) =< s(542) s(576) =< s(544) s(577) =< s(544) s(578) =< s(544) s(580) =< s(544) s(581) =< s(544) s(577) =< s(545) s(582) =< s(545) s(578) =< s(545) s(574) =< s(569) s(575) =< s(569) s(576) =< s(569) s(577) =< s(569) s(578) =< s(569) s(579) =< s(569) s(576) =< s(546) s(577) =< s(546) s(580) =< s(546) s(576) =< s(540) s(577) =< s(540) s(578) =< s(540) s(580) =< s(540) s(577) =< s(547) s(582) =< s(547) s(577) =< s(572) s(578) =< s(572) s(582) =< s(572) s(583) =< s(548) s(577) =< s(548) s(583) =< s(570) s(577) =< s(570) s(578) =< s(549) s(581) =< s(549) s(578) =< s(573) s(581) =< s(573) s(574) =< s(550) s(583) =< s(550) s(575) =< s(550) s(576) =< s(550) s(577) =< s(550) s(578) =< s(550) s(584) =< s(574)*2 s(585) =< s(574) s(586) =< s(550) s(587) =< s(542) s(587) =< s(547) s(588) =< s(542) s(589) =< s(542) s(588) =< s(544) s(589) =< s(544) s(590) =< s(544) s(588) =< s(545) s(588) =< s(546) s(588) =< s(547) s(591) =< s(552) s(588) =< s(552) s(589) =< s(553) s(590) =< s(553) s(591) =< s(550) s(588) =< s(550) s(589) =< s(550) with precondition: [V_nGroups>=3,V_alphaSize>=1] * Chain [33]: 1*s(605)+1*s(609)+1*s(613)+1*s(614)+1*s(615)+2*s(616)+1*s(617)+1*s(618)+1*s(619)+2*s(620)+2*s(621)+1*s(622)+1*s(623)+1*s(624)+1*s(625)+1*s(626)+1*s(628)+1*s(631)+1*s(632)+1*s(633)+2*s(634)+1*s(635)+1*s(636)+1*s(637)+1*s(638)+1*s(639)+1*s(640)+1*s(641)+2 Such that:s(602) =< V_nGroups s(596) =< V_nGroups+V_alphaSize s(597) =< 2*V_nGroups+V_alphaSize s(595) =< V_alphaSize s(592) =< V_alphaSize+1 s(598) =< 2*V_alphaSize s(593) =< 2*V_alphaSize+2 s(599) =< 3*V_alphaSize s(594) =< 3*V_alphaSize+3 s(600) =< V_alphaSize/2 s(601) =< 3/2*V_alphaSize s(603) =< s(600) s(604) =< s(601) s(592) =< s(595) s(603) =< s(595) s(605) =< s(595) s(593) =< s(598) s(606) =< s(599) s(604) =< s(599) s(606) =< s(594) s(605) =< s(594) s(607) =< s(595) s(607) =< s(592) s(608) =< s(592) s(609) =< s(592) s(609) =< s(597) s(610) =< s(599) s(610) =< s(606) s(611) =< s(606) s(608) =< s(603) s(611) =< s(604) s(612) =< s(595) s(613) =< s(595) s(614) =< s(595) s(615) =< s(595) s(616) =< s(595) s(617) =< s(595) s(614) =< s(596) s(615) =< s(596) s(616) =< s(596) s(618) =< s(596) s(619) =< s(596) s(620) =< s(596) s(621) =< s(596) s(615) =< s(597) s(622) =< s(597) s(616) =< s(597) s(621) =< s(597) s(612) =< s(607) s(613) =< s(607) s(614) =< s(607) s(615) =< s(607) s(616) =< s(607) s(617) =< s(607) s(614) =< s(598) s(615) =< s(598) s(618) =< s(598) s(614) =< s(593) s(615) =< s(593) s(616) =< s(593) s(618) =< s(593) s(615) =< s(599) s(622) =< s(599) s(615) =< s(610) s(616) =< s(610) s(622) =< s(610) s(623) =< s(603) s(615) =< s(603) s(623) =< s(608) s(615) =< s(608) s(616) =< s(604) s(619) =< s(604) s(616) =< s(611) s(619) =< s(611) s(612) =< s(602) s(623) =< s(602) s(613) =< s(602) s(620) =< s(602) s(614) =< s(602) s(615) =< s(602) s(616) =< s(602) s(621) =< s(602) s(624) =< s(612)*2 s(625) =< s(612) s(626) =< s(595) s(626) =< s(599) s(627) =< s(595) s(628) =< s(595) s(628) =< s(597) s(629) =< s(599) s(627) =< s(603) s(629) =< s(604) s(630) =< s(595) s(631) =< s(595) s(632) =< s(595) s(633) =< s(595) s(634) =< s(595) s(635) =< s(595) s(632) =< s(596) s(633) =< s(596) s(634) =< s(596) s(636) =< s(596) s(637) =< s(596) s(633) =< s(597) s(638) =< s(597) s(634) =< s(597) s(632) =< s(598) s(633) =< s(598) s(636) =< s(598) s(634) =< s(598) s(633) =< s(599) s(638) =< s(599) s(634) =< s(599) s(639) =< s(603) s(633) =< s(603) s(639) =< s(627) s(633) =< s(627) s(634) =< s(604) s(637) =< s(604) s(634) =< s(629) s(637) =< s(629) s(630) =< s(602) s(639) =< s(602) s(631) =< s(602) s(632) =< s(602) s(633) =< s(602) s(634) =< s(602) s(640) =< s(630)*2 s(641) =< s(630) with precondition: [V_nGroups>=3,V_alphaSize>=2] #### Cost of chains of eval_sendMTFValues_start(V_nGroups,V_alphaSize,B): * Chain [64]: 1 with precondition: [V_nGroups=1] * Chain [63]: 1 with precondition: [V_nGroups=1,0>=V_alphaSize] * Chain [62]: 2*s(644)+2*s(645)+1 Such that:s(642) =< V_alphaSize s(643) =< V_alphaSize+1 s(644) =< s(642) s(645) =< s(643) with precondition: [V_nGroups=1,V_alphaSize>=1] * Chain [61]: 2 with precondition: [V_nGroups=2] * Chain [60]: 2 with precondition: [V_nGroups=2,0>=V_alphaSize] * Chain [59]: 3*s(648)+3*s(649)+2 Such that:s(646) =< V_alphaSize s(647) =< V_alphaSize+1 s(648) =< s(646) s(649) =< s(647) with precondition: [V_nGroups=2,V_alphaSize>=1] * Chain [58]: 2*s(652)+2*s(653)+2 Such that:s(650) =< V_alphaSize s(651) =< V_alphaSize+1 s(652) =< s(650) s(653) =< s(650) s(653) =< s(651) with precondition: [V_nGroups=2,V_alphaSize>=2] * Chain [57]: 0 with precondition: [0>=V_nGroups] * Chain [56]: 2*s(655)+1 Such that:s(654) =< V_nGroups s(655) =< s(654) with precondition: [0>=V_alphaSize,V_nGroups>=2] * Chain [55]: 4*s(657)+2 Such that:s(656) =< V_nGroups s(657) =< s(656) with precondition: [0>=V_alphaSize,V_nGroups>=3] * Chain [54]: 1*s(667)+1*s(668)+1*s(669)+2*s(670)+1*s(671)+1*s(672)+1*s(673)+1*s(674)+1*s(675)+2*s(676)+1*s(677)+1*s(678)+0 Such that:s(658) =< V_nGroups s(659) =< V_nGroups+V_alphaSize s(660) =< 2*V_nGroups+V_alphaSize s(661) =< V_alphaSize s(662) =< 2*V_alphaSize s(663) =< 3*V_alphaSize s(664) =< V_alphaSize/2 s(665) =< 3/2*V_alphaSize s(666) =< s(661) s(667) =< s(661) s(668) =< s(661) s(669) =< s(661) s(670) =< s(661) s(671) =< s(661) s(668) =< s(659) s(669) =< s(659) s(670) =< s(659) s(672) =< s(659) s(673) =< s(659) s(669) =< s(660) s(674) =< s(660) s(668) =< s(662) s(669) =< s(662) s(672) =< s(662) s(669) =< s(663) s(674) =< s(663) s(675) =< s(664) s(669) =< s(664) s(670) =< s(665) s(673) =< s(665) s(666) =< s(658) s(675) =< s(658) s(667) =< s(658) s(676) =< s(658) s(668) =< s(658) s(669) =< s(658) s(670) =< s(658) s(677) =< s(666)*2 s(678) =< s(666) with precondition: [V_nGroups>=1] * Chain [53]: 3*s(688)+3*s(689)+3*s(690)+6*s(691)+3*s(692)+3*s(693)+3*s(694)+3*s(695)+3*s(696)+6*s(697)+3*s(698)+3*s(699)+1 Such that:s(679) =< V_nGroups s(680) =< V_nGroups+V_alphaSize s(681) =< 2*V_nGroups+V_alphaSize s(682) =< V_alphaSize s(683) =< 2*V_alphaSize s(684) =< 3*V_alphaSize s(685) =< V_alphaSize/2 s(686) =< 3/2*V_alphaSize s(687) =< s(682) s(688) =< s(682) s(689) =< s(682) s(690) =< s(682) s(691) =< s(682) s(692) =< s(682) s(689) =< s(680) s(690) =< s(680) s(691) =< s(680) s(693) =< s(680) s(694) =< s(680) s(690) =< s(681) s(695) =< s(681) s(689) =< s(683) s(690) =< s(683) s(693) =< s(683) s(690) =< s(684) s(695) =< s(684) s(696) =< s(685) s(690) =< s(685) s(691) =< s(686) s(694) =< s(686) s(687) =< s(679) s(696) =< s(679) s(688) =< s(679) s(697) =< s(679) s(689) =< s(679) s(690) =< s(679) s(691) =< s(679) s(698) =< s(687)*2 s(699) =< s(687) with precondition: [V_nGroups>=2] * Chain [52]: 1*s(711)+4*s(714)+1*s(715)+2*s(717)+2*s(718)+1*s(719)+2*s(720)+2*s(721)+2*s(722)+1*s(723)+2*s(724)+1*s(725)+2*s(726)+2*s(727)+1*s(728)+1*s(729)+2*s(730)+1*s(731)+2*s(732)+2*s(733)+1*s(734)+1*s(737)+1*s(741)+1*s(742)+1*s(743)+2*s(744)+1*s(745)+1*s(746)+1*s(747)+1*s(748)+1*s(749)+1*s(750)+1*s(751)+1 Such that:s(702) =< V_nGroups s(703) =< V_nGroups+V_alphaSize s(704) =< 2*V_nGroups+V_alphaSize s(705) =< V_alphaSize s(706) =< V_alphaSize+1 s(707) =< 2*V_alphaSize s(700) =< 2*V_alphaSize+2 s(708) =< 3*V_alphaSize s(701) =< 3*V_alphaSize+3 s(709) =< V_alphaSize/2 s(710) =< 3/2*V_alphaSize s(711) =< s(706) s(712) =< s(709) s(713) =< s(710) s(714) =< s(702) s(712) =< s(705) s(715) =< s(705) s(713) =< s(708) s(715) =< s(708) s(716) =< s(705) s(717) =< s(705) s(718) =< s(705) s(719) =< s(705) s(720) =< s(705) s(721) =< s(705) s(718) =< s(703) s(719) =< s(703) s(720) =< s(703) s(722) =< s(703) s(723) =< s(703) s(719) =< s(704) s(724) =< s(704) s(718) =< s(707) s(719) =< s(707) s(722) =< s(707) s(719) =< s(708) s(724) =< s(708) s(725) =< s(712) s(719) =< s(712) s(720) =< s(713) s(723) =< s(713) s(716) =< s(702) s(725) =< s(702) s(717) =< s(702) s(718) =< s(702) s(719) =< s(702) s(720) =< s(702) s(726) =< s(716)*2 s(727) =< s(716) s(728) =< s(705) s(728) =< s(704) s(729) =< s(705) s(730) =< s(705) s(729) =< s(703) s(730) =< s(703) s(731) =< s(703) s(732) =< s(703) s(733) =< s(703) s(729) =< s(704) s(730) =< s(704) s(733) =< s(704) s(729) =< s(707) s(730) =< s(707) s(729) =< s(708) s(730) =< s(708) s(734) =< s(709) s(729) =< s(709) s(734) =< s(712) s(729) =< s(712) s(730) =< s(710) s(731) =< s(710) s(730) =< s(713) s(731) =< s(713) s(734) =< s(702) s(732) =< s(702) s(729) =< s(702) s(730) =< s(702) s(733) =< s(702) s(735) =< s(705) s(735) =< s(706) s(736) =< s(706) s(737) =< s(706) s(737) =< s(704) s(700) =< s(707) s(738) =< s(708) s(738) =< s(701) s(739) =< s(701) s(736) =< s(709) s(739) =< s(710) s(740) =< s(705) s(741) =< s(705) s(742) =< s(705) s(743) =< s(705) s(744) =< s(705) s(745) =< s(705) s(742) =< s(703) s(743) =< s(703) s(744) =< s(703) s(746) =< s(703) s(747) =< s(703) s(743) =< s(704) s(748) =< s(704) s(744) =< s(704) s(740) =< s(735) s(741) =< s(735) s(742) =< s(735) s(743) =< s(735) s(744) =< s(735) s(745) =< s(735) s(742) =< s(707) s(743) =< s(707) s(746) =< s(707) s(742) =< s(700) s(743) =< s(700) s(744) =< s(700) s(746) =< s(700) s(743) =< s(708) s(748) =< s(708) s(743) =< s(738) s(744) =< s(738) s(748) =< s(738) s(749) =< s(709) s(743) =< s(709) s(749) =< s(736) s(743) =< s(736) s(744) =< s(710) s(747) =< s(710) s(744) =< s(739) s(747) =< s(739) s(740) =< s(702) s(749) =< s(702) s(741) =< s(702) s(742) =< s(702) s(743) =< s(702) s(744) =< s(702) s(750) =< s(740)*2 s(751) =< s(740) with precondition: [V_nGroups>=2,V_alphaSize>=1] * Chain [51]: 2*s(761)+2*s(762)+2*s(763)+4*s(764)+2*s(765)+2*s(766)+2*s(767)+2*s(768)+2*s(769)+4*s(770)+2*s(771)+2*s(772)+2 Such that:s(752) =< V_nGroups s(753) =< V_nGroups+V_alphaSize s(754) =< 2*V_nGroups+V_alphaSize s(755) =< V_alphaSize s(756) =< 2*V_alphaSize s(757) =< 3*V_alphaSize s(758) =< V_alphaSize/2 s(759) =< 3/2*V_alphaSize s(760) =< s(755) s(761) =< s(755) s(762) =< s(755) s(763) =< s(755) s(764) =< s(755) s(765) =< s(755) s(762) =< s(753) s(763) =< s(753) s(764) =< s(753) s(766) =< s(753) s(767) =< s(753) s(763) =< s(754) s(768) =< s(754) s(762) =< s(756) s(763) =< s(756) s(766) =< s(756) s(763) =< s(757) s(768) =< s(757) s(769) =< s(758) s(763) =< s(758) s(764) =< s(759) s(767) =< s(759) s(760) =< s(752) s(769) =< s(752) s(761) =< s(752) s(770) =< s(752) s(762) =< s(752) s(763) =< s(752) s(764) =< s(752) s(771) =< s(760)*2 s(772) =< s(760) with precondition: [V_nGroups>=3] * Chain [50]: 2*s(784)+1*s(787)+3*s(789)+3*s(790)+1*s(791)+2*s(792)+3*s(793)+3*s(794)+1*s(795)+2*s(796)+2*s(797)+3*s(798)+1*s(799)+3*s(800)+3*s(801)+1*s(804)+1*s(808)+1*s(809)+1*s(810)+2*s(811)+1*s(812)+1*s(813)+1*s(814)+1*s(815)+1*s(816)+1*s(817)+1*s(818)+8*s(819)+2*s(820)+2*s(821)+4*s(822)+2*s(823)+2*s(824)+2 Such that:s(773) =< V_nGroups s(774) =< V_nGroups+V_alphaSize s(775) =< 2*V_nGroups+V_alphaSize s(776) =< V_alphaSize s(777) =< V_alphaSize+1 s(778) =< 2*V_alphaSize s(779) =< 2*V_alphaSize+2 s(780) =< 3*V_alphaSize s(781) =< 3*V_alphaSize+3 s(782) =< V_alphaSize/2 s(783) =< 3/2*V_alphaSize s(784) =< s(777) s(785) =< s(782) s(786) =< s(783) s(785) =< s(776) s(787) =< s(776) s(787) =< s(775) s(786) =< s(780) s(788) =< s(776) s(789) =< s(776) s(790) =< s(776) s(791) =< s(776) s(792) =< s(776) s(793) =< s(776) s(790) =< s(774) s(791) =< s(774) s(792) =< s(774) s(794) =< s(774) s(795) =< s(774) s(796) =< s(774) s(797) =< s(774) s(791) =< s(775) s(798) =< s(775) s(792) =< s(775) s(797) =< s(775) s(790) =< s(778) s(791) =< s(778) s(794) =< s(778) s(792) =< s(778) s(791) =< s(780) s(798) =< s(780) s(792) =< s(780) s(799) =< s(782) s(791) =< s(782) s(799) =< s(785) s(791) =< s(785) s(792) =< s(783) s(795) =< s(783) s(792) =< s(786) s(795) =< s(786) s(788) =< s(773) s(799) =< s(773) s(789) =< s(773) s(796) =< s(773) s(790) =< s(773) s(791) =< s(773) s(792) =< s(773) s(797) =< s(773) s(800) =< s(788)*2 s(801) =< s(788) s(802) =< s(776) s(802) =< s(777) s(803) =< s(777) s(804) =< s(777) s(804) =< s(775) s(779) =< s(778) s(805) =< s(780) s(805) =< s(781) s(806) =< s(781) s(803) =< s(782) s(806) =< s(783) s(807) =< s(776) s(808) =< s(776) s(809) =< s(776) s(810) =< s(776) s(811) =< s(776) s(812) =< s(776) s(809) =< s(774) s(810) =< s(774) s(811) =< s(774) s(813) =< s(774) s(814) =< s(774) s(810) =< s(775) s(815) =< s(775) s(811) =< s(775) s(807) =< s(802) s(808) =< s(802) s(809) =< s(802) s(810) =< s(802) s(811) =< s(802) s(812) =< s(802) s(809) =< s(778) s(810) =< s(778) s(813) =< s(778) s(809) =< s(779) s(810) =< s(779) s(811) =< s(779) s(813) =< s(779) s(810) =< s(780) s(815) =< s(780) s(810) =< s(805) s(811) =< s(805) s(815) =< s(805) s(816) =< s(782) s(810) =< s(782) s(816) =< s(803) s(810) =< s(803) s(811) =< s(783) s(814) =< s(783) s(811) =< s(806) s(814) =< s(806) s(807) =< s(773) s(816) =< s(773) s(808) =< s(773) s(809) =< s(773) s(810) =< s(773) s(811) =< s(773) s(817) =< s(807)*2 s(818) =< s(807) s(819) =< s(773) s(820) =< s(776) s(820) =< s(780) s(821) =< s(776) s(822) =< s(776) s(821) =< s(774) s(822) =< s(774) s(823) =< s(774) s(821) =< s(775) s(821) =< s(778) s(821) =< s(780) s(824) =< s(785) s(821) =< s(785) s(822) =< s(786) s(823) =< s(786) s(824) =< s(773) s(821) =< s(773) s(822) =< s(773) with precondition: [V_nGroups>=3,V_alphaSize>=1] * Chain [49]: 1*s(838)+1*s(842)+1*s(846)+1*s(847)+1*s(848)+2*s(849)+1*s(850)+1*s(851)+1*s(852)+2*s(853)+2*s(854)+1*s(855)+1*s(856)+1*s(857)+1*s(858)+1*s(859)+1*s(861)+1*s(864)+1*s(865)+1*s(866)+2*s(867)+1*s(868)+1*s(869)+1*s(870)+1*s(871)+1*s(872)+1*s(873)+1*s(874)+2 Such that:s(825) =< V_nGroups s(826) =< V_nGroups+V_alphaSize s(827) =< 2*V_nGroups+V_alphaSize s(828) =< V_alphaSize s(829) =< V_alphaSize+1 s(830) =< 2*V_alphaSize s(831) =< 2*V_alphaSize+2 s(832) =< 3*V_alphaSize s(833) =< 3*V_alphaSize+3 s(834) =< V_alphaSize/2 s(835) =< 3/2*V_alphaSize s(836) =< s(834) s(837) =< s(835) s(829) =< s(828) s(836) =< s(828) s(838) =< s(828) s(831) =< s(830) s(839) =< s(832) s(837) =< s(832) s(839) =< s(833) s(838) =< s(833) s(840) =< s(828) s(840) =< s(829) s(841) =< s(829) s(842) =< s(829) s(842) =< s(827) s(843) =< s(832) s(843) =< s(839) s(844) =< s(839) s(841) =< s(836) s(844) =< s(837) s(845) =< s(828) s(846) =< s(828) s(847) =< s(828) s(848) =< s(828) s(849) =< s(828) s(850) =< s(828) s(847) =< s(826) s(848) =< s(826) s(849) =< s(826) s(851) =< s(826) s(852) =< s(826) s(853) =< s(826) s(854) =< s(826) s(848) =< s(827) s(855) =< s(827) s(849) =< s(827) s(854) =< s(827) s(845) =< s(840) s(846) =< s(840) s(847) =< s(840) s(848) =< s(840) s(849) =< s(840) s(850) =< s(840) s(847) =< s(830) s(848) =< s(830) s(851) =< s(830) s(847) =< s(831) s(848) =< s(831) s(849) =< s(831) s(851) =< s(831) s(848) =< s(832) s(855) =< s(832) s(848) =< s(843) s(849) =< s(843) s(855) =< s(843) s(856) =< s(836) s(848) =< s(836) s(856) =< s(841) s(848) =< s(841) s(849) =< s(837) s(852) =< s(837) s(849) =< s(844) s(852) =< s(844) s(845) =< s(825) s(856) =< s(825) s(846) =< s(825) s(853) =< s(825) s(847) =< s(825) s(848) =< s(825) s(849) =< s(825) s(854) =< s(825) s(857) =< s(845)*2 s(858) =< s(845) s(859) =< s(828) s(859) =< s(832) s(860) =< s(828) s(861) =< s(828) s(861) =< s(827) s(862) =< s(832) s(860) =< s(836) s(862) =< s(837) s(863) =< s(828) s(864) =< s(828) s(865) =< s(828) s(866) =< s(828) s(867) =< s(828) s(868) =< s(828) s(865) =< s(826) s(866) =< s(826) s(867) =< s(826) s(869) =< s(826) s(870) =< s(826) s(866) =< s(827) s(871) =< s(827) s(867) =< s(827) s(865) =< s(830) s(866) =< s(830) s(869) =< s(830) s(867) =< s(830) s(866) =< s(832) s(871) =< s(832) s(867) =< s(832) s(872) =< s(836) s(866) =< s(836) s(872) =< s(860) s(866) =< s(860) s(867) =< s(837) s(870) =< s(837) s(867) =< s(862) s(870) =< s(862) s(863) =< s(825) s(872) =< s(825) s(864) =< s(825) s(865) =< s(825) s(866) =< s(825) s(867) =< s(825) s(873) =< s(863)*2 s(874) =< s(863) with precondition: [V_nGroups>=3,V_alphaSize>=2] Closed-form bounds of eval_sendMTFValues_start(V_nGroups,V_alphaSize,B): ------------------------------------- * Chain [64] with precondition: [V_nGroups=1] - Upper bound: 1 - Complexity: constant * Chain [63] with precondition: [V_nGroups=1,0>=V_alphaSize] - Upper bound: 1 - Complexity: constant * Chain [62] with precondition: [V_nGroups=1,V_alphaSize>=1] - Upper bound: 4*V_alphaSize+3 - Complexity: n * Chain [61] with precondition: [V_nGroups=2] - Upper bound: 2 - Complexity: constant * Chain [60] with precondition: [V_nGroups=2,0>=V_alphaSize] - Upper bound: 2 - Complexity: constant * Chain [59] with precondition: [V_nGroups=2,V_alphaSize>=1] - Upper bound: 6*V_alphaSize+5 - Complexity: n * Chain [58] with precondition: [V_nGroups=2,V_alphaSize>=2] - Upper bound: 4*V_alphaSize+2 - Complexity: n * Chain [57] with precondition: [0>=V_nGroups] - Upper bound: 0 - Complexity: constant * Chain [56] with precondition: [0>=V_alphaSize,V_nGroups>=2] - Upper bound: 2*V_nGroups+1 - Complexity: n * Chain [55] with precondition: [0>=V_alphaSize,V_nGroups>=3] - Upper bound: 4*V_nGroups+2 - Complexity: n * Chain [54] with precondition: [V_nGroups>=1] - Upper bound: nat(V_alphaSize)*9+2*V_nGroups+nat(V_nGroups+V_alphaSize)*2+nat(2*V_nGroups+V_alphaSize)+nat(V_alphaSize/2) - Complexity: n * Chain [53] with precondition: [V_nGroups>=2] - Upper bound: 6*V_nGroups+1+nat(V_alphaSize)*27+nat(V_nGroups+V_alphaSize)*6+nat(2*V_nGroups+V_alphaSize)*3+nat(V_alphaSize/2)*3 - Complexity: n * Chain [52] with precondition: [V_nGroups>=2,V_alphaSize>=1] - Upper bound: 20*V_nGroups+91/2*V_alphaSize+3 - Complexity: n * Chain [51] with precondition: [V_nGroups>=3] - Upper bound: 4*V_nGroups+2+nat(V_alphaSize)*18+nat(V_nGroups+V_alphaSize)*4+nat(2*V_nGroups+V_alphaSize)*2+nat(V_alphaSize/2)*2 - Complexity: n * Chain [50] with precondition: [V_nGroups>=3,V_alphaSize>=1] - Upper bound: 28*V_nGroups+60*V_alphaSize+5 - Complexity: n * Chain [49] with precondition: [V_nGroups>=3,V_alphaSize>=2] - Upper bound: 12*V_nGroups+33*V_alphaSize+3 - Complexity: n ### Maximum cost of eval_sendMTFValues_start(V_nGroups,V_alphaSize,B): max([max([2,nat(V_nGroups)*2+1+(nat(V_nGroups)*2+1)]),nat(V_alphaSize)*2+max([nat(V_alphaSize)+max([nat(V_alphaSize)+max([2,nat(V_nGroups+V_alphaSize)*2+nat(V_alphaSize)*5+nat(2*V_nGroups+V_alphaSize)+nat(V_alphaSize/2)+max([nat(V_alphaSize)*12+2+nat(V_nGroups+V_alphaSize)*6+nat(V_alphaSize+1)+nat(2*V_nGroups+V_alphaSize)+nat(V_alphaSize/2),nat(V_nGroups)*2+1+nat(V_alphaSize)*9+nat(V_nGroups+V_alphaSize)*2+nat(2*V_nGroups+V_alphaSize)+nat(V_alphaSize/2)+max([1,nat(V_nGroups+V_alphaSize)*2+nat(V_alphaSize)*9+nat(2*V_nGroups+V_alphaSize)+nat(V_alphaSize/2)+max([nat(V_nGroups+V_alphaSize)*4+nat(V_alphaSize)*2+nat(V_alphaSize+1)*2,nat(V_nGroups)*2+1+nat(V_alphaSize)*12+nat(V_nGroups+V_alphaSize)*6+nat(V_alphaSize+1)*3+nat(2*V_nGroups+V_alphaSize)+nat(V_alphaSize/2)+nat(V_nGroups)*2])])+nat(V_nGroups)*2])]),nat(V_alphaSize+1)*3+2]),nat(V_alphaSize+1)*2+1])]) Asymptotic class: n * Total analysis performed in 2092 ms.