/export/starexec/sandbox/solver/bin/starexec_run_its /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^1)) Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. recursive : [evalcomplexbb1in/7,evalcomplexbb6in/7,evalcomplexbb7in/7,evalcomplexbb8in/7] 1. recursive : [evalcomplexbb10in/11,evalcomplexbb8in_loop_cont/12,evalcomplexbb9in/11] 2. non_recursive : [evalcomplexstop/6] 3. non_recursive : [evalcomplexreturnin/6] 4. non_recursive : [exit_location/1] 5. non_recursive : [evalcomplexbb10in_loop_cont/7] 6. non_recursive : [evalcomplexentryin/6] 7. non_recursive : [evalcomplexstart/6] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into evalcomplexbb8in/7 1. SCC is partially evaluated into evalcomplexbb10in/11 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 evalcomplexbb10in_loop_cont/7 6. SCC is partially evaluated into evalcomplexentryin/6 7. SCC is partially evaluated into evalcomplexstart/6 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations evalcomplexbb8in/7 * CE 12 is refined into CE [13] * CE 11 is refined into CE [14] * CE 9 is refined into CE [15] * CE 10 is refined into CE [16] ### Cost equations --> "Loop" of evalcomplexbb8in/7 * CEs [15] --> Loop 13 * CEs [16] --> Loop 14 * CEs [13] --> Loop 15 * CEs [14] --> Loop 16 ### Ranking functions of CR evalcomplexbb8in(C,D,E,F,G,H,I) * RF of phase [13]: [-C/6+D/6] * RF of phase [14]: [-C+D,-C/2+3] #### Partial ranking functions of CR evalcomplexbb8in(C,D,E,F,G,H,I) * Partial RF of phase [13]: - RF of loop [13:1]: -C/6+D/6 * Partial RF of phase [14]: - RF of loop [14:1]: -C+D -C/2+3 ### Specialization of cost equations evalcomplexbb10in/11 * CE 5 is refined into CE [17] * CE 3 is refined into CE [18,19,20,21] * CE 6 is refined into CE [22] * CE 4 is refined into CE [23,24,25,26] ### Cost equations --> "Loop" of evalcomplexbb10in/11 * CEs [26] --> Loop 17 * CEs [25] --> Loop 18 * CEs [24] --> Loop 19 * CEs [23] --> Loop 20 * CEs [17] --> Loop 21 * CEs [21] --> Loop 22 * CEs [18] --> Loop 23 * CEs [20] --> Loop 24 * CEs [19] --> Loop 25 * CEs [22] --> Loop 26 ### Ranking functions of CR evalcomplexbb10in(A,B,C,D,E,F,G,H,I,J,K) * RF of phase [17]: [A/14-B/7+4/7] * RF of phase [18,19]: [-B/3+10] * RF of phase [20]: [A/12-B/12+1/12,-B/2+15] #### Partial ranking functions of CR evalcomplexbb10in(A,B,C,D,E,F,G,H,I,J,K) * Partial RF of phase [17]: - RF of loop [17:1]: A/14-B/7+4/7 * Partial RF of phase [18,19]: - RF of loop [18:1]: -B/4+15/2 - RF of loop [19:1]: A/24-7/24*B+33/4 -B/3+10 * Partial RF of phase [20]: - RF of loop [20:1]: A/12-B/12+1/12 -B/2+15 ### Specialization of cost equations evalcomplexbb10in_loop_cont/7 * CE 7 is refined into CE [27] * CE 8 is refined into CE [28] ### Cost equations --> "Loop" of evalcomplexbb10in_loop_cont/7 * CEs [27] --> Loop 27 * CEs [28] --> Loop 28 ### Ranking functions of CR evalcomplexbb10in_loop_cont(A,B,C,D,E,F,G) #### Partial ranking functions of CR evalcomplexbb10in_loop_cont(A,B,C,D,E,F,G) ### Specialization of cost equations evalcomplexentryin/6 * CE 2 is refined into CE [29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52] ### Cost equations --> "Loop" of evalcomplexentryin/6 * CEs [46,51] --> Loop 29 * CEs [45,50] --> Loop 30 * CEs [44] --> Loop 31 * CEs [43] --> Loop 32 * CEs [42] --> Loop 33 * CEs [41] --> Loop 34 * CEs [47] --> Loop 35 * CEs [40] --> Loop 36 * CEs [39] --> Loop 37 * CEs [38] --> Loop 38 * CEs [37,49] --> Loop 39 * CEs [36] --> Loop 40 * CEs [34,48] --> Loop 41 * CEs [52] --> Loop 42 * CEs [35] --> Loop 43 * CEs [33] --> Loop 44 * CEs [31] --> Loop 45 * CEs [30] --> Loop 46 * CEs [32] --> Loop 47 * CEs [29] --> Loop 48 ### Ranking functions of CR evalcomplexentryin(A,B,C,D,E,F) #### Partial ranking functions of CR evalcomplexentryin(A,B,C,D,E,F) ### Specialization of cost equations evalcomplexstart/6 * CE 1 is refined into CE [53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72] ### Cost equations --> "Loop" of evalcomplexstart/6 * CEs [72] --> Loop 49 * CEs [71] --> Loop 50 * CEs [70] --> Loop 51 * CEs [69] --> Loop 52 * CEs [68] --> Loop 53 * CEs [67] --> Loop 54 * CEs [66] --> Loop 55 * CEs [65] --> Loop 56 * CEs [64] --> Loop 57 * CEs [63] --> Loop 58 * CEs [62] --> Loop 59 * CEs [61] --> Loop 60 * CEs [60] --> Loop 61 * CEs [59] --> Loop 62 * CEs [58] --> Loop 63 * CEs [57] --> Loop 64 * CEs [56] --> Loop 65 * CEs [55] --> Loop 66 * CEs [54] --> Loop 67 * CEs [53] --> Loop 68 ### Ranking functions of CR evalcomplexstart(A,B,C,D,E,F) #### Partial ranking functions of CR evalcomplexstart(A,B,C,D,E,F) Computing Bounds ===================================== #### Cost of chains of evalcomplexbb8in(C,D,E,F,G,H,I): * Chain [[14],[13],16]: 1*it(13)+1*it(14)+0 Such that:it(14) =< -C/2+3 it(13) =< -C/5+2/5*D-7/30*H+I/30 with precondition: [F=2,G=I,H+5>=G,G>=H,7*C+14*H>=14*D+2*G+30,2*G+14*D+35>=14*H+7*C,C+7*H>=7*D+G+5,G+2*D>=2*H+C+5] * Chain [[14],[13],15]: 1*it(13)+1*it(14)+0 Such that:it(14) =< -C/2+3 it(13) =< -C/6+D/6 it(13) =< -C/12+D/6 with precondition: [F=3,5>=C,D>=C+2,2*D>=C+8] * Chain [[14],16]: 1*it(14)+0 Such that:it(14) =< -C/2+3 it(14) =< -C/2+H/2 with precondition: [F=2,C+G=2*D,C+H=2*D,C+I=2*D,C+7>=2*D,D>=C+1] * Chain [[14],15]: 1*it(14)+0 Such that:it(14) =< -C+D it(14) =< -C/2+3 with precondition: [F=3,5>=C,D>=C+1] * Chain [[13],16]: 1*it(13)+0 Such that:it(13) =< -C/7+H/6-I/42 with precondition: [F=2,G=I,G+7*D=7*H+C,C>=6,G>=C+7,C+6*G>=7*D,7*D+35>=6*G+C] * Chain [[13],15]: 1*it(13)+0 Such that:it(13) =< -C/6+D/6 with precondition: [F=3,C>=6,D>=C+1] * Chain [16]: 0 with precondition: [F=2,I=E,C=G,D=H,C>=D] * Chain [15]: 0 with precondition: [F=3] #### Cost of chains of evalcomplexbb10in(A,B,C,D,E,F,G,H,I,J,K): * Chain [[20],[18,19],26]: 1*it(18)+1*it(19)+1*it(20)+1*s(7)+1*s(8)+1*s(9)+0 Such that:aux(3) =< 25/2 s(9) =< -5617/12*A-28085/12*B+372091/4 aux(4) =< -985/24*A-4925/24*B+15577/2 aux(5) =< -251/6*A-1255/6*B+45221/6 aux(4) =< -251/8*A-1255/8*B+45221/8 s(9) =< -149/12*A-745/12*B+9863/4 aux(2) =< -97/96*A-485/96*B+16745/96 s(7) =< -47/24*A-235/24*B+737/2 aux(6) =< -29/24*A-145/24*B+461/2 s(7) =< -13/4*A-65/4*B+2311/4 aux(6) =< -7/4*A-35/4*B+1273/4 aux(5) =< -7/6*A-35/6*B+1273/6 aux(2) =< -7/36*A-35/36*B+4055/96 aux(1) =< -7/48*A-35/48*B+145/8 it(19) =< -A/2-5/2*B+199/2 aux(3) =< -A/2-5/2*B+935/12 s(7) =< -A/6-5/6*B+43/2 aux(3) =< -A/12-5/12*B+125/12 it(20) =< A/12-B/12+1/12 aux(7) =< -A-5*B+361/2 aux(8) =< -A-5*B+705/4 aux(9) =< -35/24*A-175/24*B+1059/4 aux(10) =< -A/2-5/2*B+151/2 aux(3) =< aux(7) it(18) =< aux(7) it(18) =< aux(8) s(8) =< aux(8) it(19) =< aux(9) s(8) =< aux(9) aux(1) =< aux(10) s(7) =< aux(10) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) with precondition: [F=3,27>=B,173>=5*B+A,A>=B,A+5*B+36>=0] * Chain [[20],[18,19],25]: 1*it(18)+1*it(19)+1*it(20)+1*s(7)+1*s(8)+1*s(9)+1*s(10)+0 Such that:aux(3) =< 25/2 aux(11) =< -44*A-220*B+8613/2 aux(4) =< -3*A-15*B+270 aux(3) =< -A-5*B+965/6 aux(2) =< -589/672*A-2945/672*B+7615/112 s(9) =< -161/12*A-805/12*B+2415/2 it(19) =< -35/24*A-175/24*B+525/4 aux(2) =< -31/96*A-155/96*B+397/16 aux(4) =< -21/2*A-105/2*B+945 s(7) =< -21/2*A-105/2*B+1003 s(9) =< -11/12*A-55/12*B+165/2 aux(2) =< -11/56*A-55/56*B+6029/392 aux(6) =< -4/3*A-20/3*B+120 aux(5) =< -4/3*A-20/3*B+529/3 aux(5) =< -A/2-5/2*B+71 it(19) =< -A/3-5/3*B+30 s(7) =< -A/3-5/3*B+31 it(20) =< A/12-B/12+1/12 aux(2) =< -31/8*B+369/8 aux(13) =< -36*A-180*B+6857/2 aux(14) =< -A-5*B+100 aux(15) =< -35/12*A-175/12*B+269 aux(16) =< -31/12*A-155/12*B+281 aux(17) =< -A/2-5/2*B+45 aux(11) =< aux(13) s(8) =< aux(13) aux(1) =< aux(14) it(18) =< aux(14) aux(12) =< aux(15) s(8) =< aux(15) aux(1) =< aux(16) aux(12) =< aux(16) aux(6) =< aux(17) it(18) =< aux(17) aux(4) =< aux(11) s(10) =< aux(11) it(19) =< aux(12) s(10) =< aux(12) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) with precondition: [F=3,7*A+52>=14*B,A+66>=7*B,78>=5*B+A,A>=B,A+5*B+36>=0] * Chain [[20],[18,19],24]: 1*it(18)+1*it(19)+1*it(20)+1*s(7)+1*s(8)+1*s(9)+1*s(11)+1*s(12)+0 Such that:s(12) =< 2 aux(3) =< 25/2 aux(4) =< -3*A-15*B+270 aux(3) =< -A-5*B+965/6 aux(2) =< -589/672*A-2945/672*B+7615/112 aux(18) =< -181/12*A-905/12*B+1514 s(9) =< -161/12*A-805/12*B+2415/2 it(19) =< -35/24*A-175/24*B+525/4 aux(2) =< -31/96*A-155/96*B+397/16 aux(4) =< -21/2*A-105/2*B+945 s(7) =< -11/12*A-55/12*B+87 s(9) =< -11/12*A-55/12*B+165/2 aux(2) =< -11/56*A-55/56*B+6029/392 aux(6) =< -4/3*A-20/3*B+120 aux(5) =< -4/3*A-20/3*B+529/3 aux(5) =< -A/2-5/2*B+71 it(19) =< -A/3-5/3*B+30 s(7) =< -A/3-5/3*B+31 it(20) =< A/12-B/12+1/12 aux(2) =< -31/8*B+369/8 aux(20) =< -A-5*B+100 aux(21) =< -161/12*A-805/12*B+1266 aux(22) =< -35/12*A-175/12*B+269 aux(23) =< -31/12*A-155/12*B+281 aux(24) =< -A/2-5/2*B+45 aux(1) =< aux(20) it(18) =< aux(20) aux(18) =< aux(21) s(8) =< aux(21) aux(19) =< aux(22) s(8) =< aux(22) aux(1) =< aux(23) aux(19) =< aux(23) aux(6) =< aux(24) it(18) =< aux(24) s(9) =< aux(18) s(11) =< aux(18) it(19) =< aux(19) s(11) =< aux(19) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) with precondition: [F=3,7*A+52>=14*B,A+66>=7*B,78>=5*B+A,A>=B,A+5*B+36>=0] * Chain [[20],[18,19],23]: 1*it(18)+1*it(19)+1*it(20)+1*s(7)+1*s(8)+1*s(9)+0 Such that:aux(3) =< 25/2 aux(4) =< -53*A-265*B+17345/2 aux(26) =< -53*A-265*B+18497/2 aux(2) =< -7*A-35*B+2999/2 s(8) =< -4*A-20*B+4546/7 aux(25) =< -2*A-10*B+349 aux(25) =< -A-5*B+167 aux(5) =< -A-5*B+361/2 s(9) =< -A-5*B+2323/14 s(8) =< -97/4*A-485/4*B+16615/4 aux(4) =< -53/2*A-265/2*B+8467/2 aux(26) =< -53/2*A-265/2*B+8851/2 aux(2) =< -31/48*A-155/48*B+4787/48 aux(1) =< -31/96*A-155/96*B+681/16 aux(3) =< -7/24*A-35/24*B+235/6 aux(1) =< -7/48*A-35/48*B+145/8 s(7) =< -A/2-5/2*B+139/2 aux(5) =< -A/2-5/2*B+171/2 aux(3) =< -A/2-5/2*B+845/12 s(7) =< -A/3-5/3*B+89/2 it(20) =< A/12-B/12+1/12 aux(2) =< -31/8*B+741/8 aux(27) =< -A-5*B+349/2 aux(28) =< -41/2*A-205/2*B+7103/2 aux(29) =< -A/2-5/2*B+167/2 aux(30) =< -A/2-5/2*B+1129/14 aux(3) =< aux(27) aux(6) =< aux(27) it(18) =< aux(27) aux(2) =< aux(28) s(7) =< aux(28) aux(6) =< aux(29) it(18) =< aux(29) s(7) =< aux(30) s(9) =< aux(30) it(19) =< aux(25) s(7) =< aux(25) aux(4) =< aux(26) it(19) =< aux(26) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) with precondition: [F=3,24>=B,A+138>=7*B,155>=5*B+A,A>=B,A+5*B+36>=0] * Chain [[20],[18,19],22]: 1*it(18)+1*it(19)+1*it(20)+1*s(7)+1*s(8)+1*s(9)+1*s(13)+0 Such that:s(13) =< 2 aux(3) =< 25/2 aux(33) =< -53*A-265*B+18497/2 aux(31) =< -29*A-145*B+10097/2 aux(32) =< -7*A-35*B+2443/2 aux(2) =< -7*A-35*B+2999/2 aux(5) =< -A-5*B+361/2 s(8) =< -161/6*A-805/6*B+4669 s(8) =< -97/4*A-485/4*B+17749/4 aux(33) =< -53/2*A-265/2*B+4611 aux(2) =< -31/48*A-155/48*B+4787/48 aux(1) =< -31/96*A-155/96*B+681/16 aux(31) =< -21/2*A-105/2*B+1827 s(9) =< -9/2*A-45/2*B+784 aux(32) =< -7/2*A-35/2*B+609 aux(3) =< -7/24*A-35/24*B+235/6 aux(1) =< -7/48*A-35/48*B+145/8 aux(5) =< -A/2-5/2*B+89 s(7) =< -A/2-5/2*B+139/2 aux(3) =< -A/2-5/2*B+845/12 s(7) =< -A/3-5/3*B+89/2 it(20) =< A/12-B/12+1/12 aux(2) =< -31/8*B+741/8 aux(34) =< -A-5*B+349/2 aux(35) =< -41/2*A-205/2*B+3835 aux(36) =< -11/6*A-55/6*B+319 aux(37) =< -A/2-5/2*B+87 aux(3) =< aux(34) aux(6) =< aux(34) it(18) =< aux(34) aux(2) =< aux(35) s(7) =< aux(35) s(7) =< aux(36) s(9) =< aux(36) aux(6) =< aux(37) it(18) =< aux(37) aux(4) =< aux(31) s(13) =< aux(31) it(19) =< aux(32) s(9) =< aux(32) aux(4) =< aux(33) it(19) =< aux(33) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) with precondition: [F=3,24>=B,A+138>=7*B,155>=5*B+A,A>=B,A+5*B+36>=0] * Chain [[20],[18,19],21]: 1*it(18)+1*it(19)+1*it(20)+1*s(7)+1*s(8)+1*s(9)+0 Such that:aux(2) =< -31*A-155*B+186*J+31/2 aux(6) =< -A-5*B+6*J+25/2 s(9) =< -161/12*A-805/12*B+10411/4 aux(2) =< -31/2*A-155/2*B+31/2*I+155/2*J s(8) =< -31/2*A-155/2*B+403/8*J+9765/8 aux(2) =< -31/96*A-155/96*B+31/96*G+155/96*J s(9) =< -11/12*A-55/12*B+I/2+J/2+607/4 aux(1) =< -7/48*A-35/48*B+145/8 aux(2) =< -7/48*A-35/48*B+G/2+3/8*J+5 s(8) =< -4/3*A-20/3*B+13/3*J+341/3 it(19) =< -A/2-5/2*B+199/2 aux(3) =< -A/2-5/2*B+935/12 aux(6) =< -A/2-5/2*B+I/2+5/2*J+4 it(19) =< -A/3-5/3*B+I/2+J/2+33 s(7) =< -A/6-5/6*B+43/2 aux(3) =< -A/12-5/12*B+125/12 it(20) =< A/12-B/12+1/12 aux(38) =< -29*A-145*B+24*I+150*J+125/2 aux(39) =< -A-5*B+361/2 aux(40) =< -21/2*A-105/2*B+21/2*I+105/2*J+20 aux(41) =< -A/2-5/2*B+151/2 aux(42) =< -A/2-5/2*B+I/2+J/2+60 aux(3) =< aux(38) aux(4) =< aux(38) aux(3) =< aux(39) aux(5) =< aux(39) it(18) =< aux(39) aux(4) =< aux(40) s(7) =< aux(40) aux(1) =< aux(41) s(7) =< aux(41) aux(5) =< aux(42) it(18) =< aux(42) s(7) =< aux(42) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) with precondition: [F=4,G+10=I,H=J+2,G+10=K,27>=B,H>=30,A>=B,H>=G+7,G+12>=H,A+5*B+36>=0,21*G+2664>=57*H+35*B+7*A,7*G+1644>=35*B+19*H+7*A,A+7*H>=7*B+G+48,G+5*H>=5*B+A+12] * Chain [[20],[17],[18,19],26]: 1*it(17)+1*it(18)+1*it(19)+1*it(20)+1*s(7)+1*s(8)+1*s(9)+1*s(16)+0 Such that:it(18) =< 17/2 aux(5) =< 34/3 it(19) =< 35/4 s(7) =< 55/2 s(8) =< 407/24 aux(6) =< 641/36 s(9) =< 699/28 aux(2) =< 4727/96 aux(4) =< 18829/288 aux(4) =< -174*A-870*B+1120877/32 s(8) =< -66*A-330*B+24013/2 aux(4) =< -58*A-290*B+247561/32 aux(44) =< -48*A-240*B+38113/4 aux(45) =< -42*A-210*B+10601/2 aux(2) =< -42*A-210*B+282391/32 s(8) =< -22*A-110*B+5357/2 aux(44) =< -16*A-80*B+8429/4 aux(45) =< -14*A-70*B+2473/2 aux(2) =< -14*A-70*B+62123/32 aux(5) =< -12*A-60*B+1988 s(7) =< -12*A-60*B+3131/2 aux(1) =< -7*A-35*B+635/2 aux(1) =< -7*A-35*B+1411/2 it(18) =< -6*A-30*B+994 it(19) =< -6*A-30*B+2053/2 aux(5) =< -4*A-20*B+448 s(7) =< -4*A-20*B+727/2 it(18) =< -2*A-10*B+224 it(19) =< -2*A-10*B+461/2 aux(3) =< -A-5*B+1213/12 s(9) =< -54/7*A-270/7*B+41439/28 s(9) =< -18/7*A-90/7*B+9195/28 it(17) =< -A/7-5/7*B+69/7 it(20) =< A/12-B/12+1/12 aux(46) =< -A-5*B+545/12 aux(47) =< -A/7-5/7*B+39/7 aux(3) =< aux(46) aux(43) =< aux(46) aux(43) =< aux(47) it(17) =< aux(47) aux(6) =< aux(44) s(16) =< aux(44) aux(1) =< aux(45) s(16) =< aux(45) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) s(16) =< it(17)*aux(43) with precondition: [F=3,35>=5*B+A,A>=2*B+7,A>=B] * Chain [[20],[17],[18,19],25]: 1*it(17)+1*it(18)+1*it(19)+1*it(20)+1*s(7)+1*s(8)+1*s(9)+1*s(10)+1*s(16)+0 Such that:aux(6) =< 7 aux(12) =< 11 s(7) =< 21 aux(11) =< 319 aux(48) =< 21/4 s(9) =< 27/2 aux(5) =< 34/3 s(8) =< 77/8 aux(2) =< 147/8 aux(4) =< 203/8 aux(11) =< -174*A-870*B+17516 aux(4) =< -174*A-870*B+33147/2 s(8) =< -66*A-330*B+12573/2 aux(11) =< -58*A-290*B+4234 aux(4) =< -58*A-290*B+8091/2 aux(2) =< -42*A-210*B+8001/2 aux(50) =< -42*A-210*B+10601/2 s(8) =< -22*A-110*B+3069/2 aux(2) =< -14*A-70*B+1953/2 aux(50) =< -14*A-70*B+2473/2 aux(49) =< -12*A-60*B+1143 aux(5) =< -12*A-60*B+1988 aux(1) =< -7*A-35*B+1411/2 aux(51) =< -6*A-30*B+604 aux(52) =< -6*A-30*B+1143/2 aux(49) =< -4*A-20*B+279 aux(5) =< -4*A-20*B+448 aux(51) =< -2*A-10*B+146 aux(52) =< -2*A-10*B+279/2 aux(3) =< -A-5*B+1213/12 s(9) =< -54/7*A-270/7*B+10287/14 s(9) =< -18/7*A-90/7*B+2511/14 it(17) =< -A/7-5/7*B+39/7 it(17) =< -A/7-5/7*B+69/7 it(20) =< A/12-B/12+1/12 aux(53) =< -7*A-35*B+635/2 aux(54) =< -A-5*B+545/12 aux(1) =< aux(53) aux(43) =< aux(53) aux(3) =< aux(54) aux(43) =< aux(54) it(18) =< aux(48) it(19) =< aux(48) aux(6) =< aux(49) s(7) =< aux(49) aux(1) =< aux(50) s(16) =< aux(50) aux(12) =< aux(51) s(16) =< aux(51) it(18) =< aux(52) it(19) =< aux(52) aux(4) =< aux(11) s(10) =< aux(11) it(19) =< aux(12) s(10) =< aux(12) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) s(16) =< it(17)*aux(43) with precondition: [F=3,35>=5*B+A,A>=2*B+7,A>=B] * Chain [[20],[17],[18,19],24]: 1*it(17)+1*it(18)+1*it(19)+1*it(20)+1*s(7)+1*s(8)+1*s(9)+1*s(11)+1*s(12)+1*s(16)+0 Such that:s(12) =< 2 aux(6) =< 7 aux(19) =< 11 s(7) =< 21 aux(18) =< 99 aux(55) =< 21/4 s(9) =< 27/2 aux(5) =< 34/3 s(8) =< 77/8 aux(2) =< 147/8 aux(4) =< 203/8 aux(4) =< -174*A-870*B+33147/2 s(8) =< -66*A-330*B+12573/2 aux(4) =< -58*A-290*B+8091/2 aux(18) =< -54*A-270*B+5436 aux(2) =< -42*A-210*B+8001/2 aux(57) =< -42*A-210*B+10601/2 s(8) =< -22*A-110*B+3069/2 aux(18) =< -18*A-90*B+1314 aux(2) =< -14*A-70*B+1953/2 aux(57) =< -14*A-70*B+2473/2 aux(56) =< -12*A-60*B+1143 aux(5) =< -12*A-60*B+1988 aux(1) =< -7*A-35*B+1411/2 aux(58) =< -6*A-30*B+604 aux(59) =< -6*A-30*B+1143/2 aux(56) =< -4*A-20*B+279 aux(5) =< -4*A-20*B+448 aux(58) =< -2*A-10*B+146 aux(59) =< -2*A-10*B+279/2 aux(3) =< -A-5*B+1213/12 s(9) =< -54/7*A-270/7*B+10287/14 s(9) =< -18/7*A-90/7*B+2511/14 it(17) =< -A/7-5/7*B+39/7 it(17) =< -A/7-5/7*B+69/7 it(20) =< A/12-B/12+1/12 aux(60) =< -7*A-35*B+635/2 aux(61) =< -A-5*B+545/12 aux(1) =< aux(60) aux(43) =< aux(60) aux(3) =< aux(61) aux(43) =< aux(61) it(18) =< aux(55) it(19) =< aux(55) aux(6) =< aux(56) s(7) =< aux(56) aux(1) =< aux(57) s(16) =< aux(57) aux(19) =< aux(58) s(16) =< aux(58) it(18) =< aux(59) it(19) =< aux(59) s(9) =< aux(18) s(11) =< aux(18) it(19) =< aux(19) s(11) =< aux(19) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) s(16) =< it(17)*aux(43) with precondition: [F=3,35>=5*B+A,A>=2*B+7,A>=B] * Chain [[20],[17],[18,19],23]: 1*it(17)+1*it(18)+1*it(19)+1*it(20)+1*s(7)+1*s(8)+1*s(9)+1*s(16)+0 Such that:aux(25) =< 132 it(18) =< 33/4 aux(5) =< 34/3 s(7) =< 55/2 aux(1) =< 187/8 s(9) =< 221/7 s(8) =< 383/24 aux(4) =< 551/8 aux(26) =< 583/8 aux(2) =< 707/8 aux(4) =< -318*A-1590*B+95679/2 aux(26) =< -318*A-1590*B+101919/2 aux(2) =< -126*A-630*B+41293/2 aux(4) =< -106*A-530*B+21807/2 aux(26) =< -106*A-530*B+23055/2 aux(63) =< -66*A-330*B+22453/2 aux(25) =< -48*A-240*B+7692 aux(2) =< -42*A-210*B+9317/2 aux(1) =< -42*A-210*B+10601/2 aux(63) =< -22*A-110*B+5045/2 aux(25) =< -16*A-80*B+1740 aux(5) =< -12*A-60*B+1988 s(7) =< -12*A-60*B+3131/2 aux(62) =< -12*A-60*B+12811/7 it(18) =< -6*A-30*B+1923/2 aux(5) =< -4*A-20*B+448 s(7) =< -4*A-20*B+727/2 aux(62) =< -4*A-20*B+2915/7 aux(6) =< -2*A-10*B+97 aux(6) =< -2*A-10*B+233 it(18) =< -2*A-10*B+435/2 aux(3) =< -A-5*B+1213/12 it(17) =< -A/7-5/7*B+39/7 it(17) =< -A/7-5/7*B+69/7 it(20) =< A/12-B/12+1/12 aux(64) =< -14*A-70*B+2473/2 aux(65) =< -A-5*B+545/12 aux(1) =< aux(64) aux(43) =< aux(64) aux(3) =< aux(65) aux(43) =< aux(65) s(9) =< aux(62) s(16) =< aux(62) s(8) =< aux(63) s(16) =< aux(63) it(19) =< aux(25) s(7) =< aux(25) aux(4) =< aux(26) it(19) =< aux(26) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) s(16) =< it(17)*aux(43) with precondition: [F=3,35>=5*B+A,A>=2*B+7,A>=B] * Chain [[20],[17],[18,19],22]: 1*it(17)+1*it(18)+1*it(19)+1*it(20)+1*s(7)+1*s(8)+1*s(9)+1*s(13)+1*s(16)+0 Such that:s(13) =< 2 aux(6) =< 11 aux(32) =< 231 s(9) =< 307 it(18) =< 33/4 aux(5) =< 34/3 s(7) =< 55/2 s(8) =< 137/8 aux(1) =< 187/8 aux(33) =< 583/8 aux(2) =< 707/8 aux(33) =< -318*A-1590*B+101919/2 aux(2) =< -126*A-630*B+41293/2 aux(66) =< -108*A-540*B+17957 aux(33) =< -106*A-530*B+23055/2 aux(32) =< -84*A-420*B+13461 aux(67) =< -66*A-330*B+24273/2 aux(2) =< -42*A-210*B+9317/2 aux(1) =< -42*A-210*B+10601/2 aux(66) =< -36*A-180*B+4045 aux(31) =< -29*A-145*B+2861/2 aux(31) =< -29*A-145*B+6997/2 aux(32) =< -28*A-140*B+3045 aux(67) =< -22*A-110*B+5409/2 aux(6) =< -12*A-60*B+1923 aux(5) =< -12*A-60*B+1988 s(7) =< -12*A-60*B+3131/2 it(18) =< -6*A-30*B+1923/2 aux(6) =< -4*A-20*B+435 aux(5) =< -4*A-20*B+448 s(7) =< -4*A-20*B+727/2 it(18) =< -2*A-10*B+435/2 aux(3) =< -A-5*B+1213/12 it(17) =< -A/7-5/7*B+39/7 it(17) =< -A/7-5/7*B+69/7 it(20) =< A/12-B/12+1/12 aux(68) =< -14*A-70*B+2473/2 aux(69) =< -A-5*B+545/12 aux(1) =< aux(68) aux(43) =< aux(68) aux(3) =< aux(69) aux(43) =< aux(69) s(9) =< aux(66) s(16) =< aux(66) s(8) =< aux(67) s(16) =< aux(67) aux(4) =< aux(31) s(13) =< aux(31) it(19) =< aux(32) s(9) =< aux(32) aux(4) =< aux(33) it(19) =< aux(33) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) s(16) =< it(17)*aux(43) with precondition: [F=3,35>=5*B+A,A>=2*B+7,A>=B] * Chain [[20],[17],[18,19],21]: 1*it(17)+1*it(18)+1*it(19)+1*it(20)+1*s(7)+1*s(8)+1*s(9)+1*s(16)+0 Such that:it(18) =< 17/2 aux(3) =< 25/2 aux(5) =< 34/3 it(19) =< 35/4 s(7) =< 55/2 aux(1) =< 187/8 s(8) =< 407/24 s(8) =< -66*A-330*B+24013/2 aux(1) =< -42*A-210*B+10601/2 aux(4) =< -29*A-145*B+25/2*H+2*K+990 aux(4) =< -29*A-145*B+125/2*H+10*K+1296 s(8) =< -22*A-110*B+5357/2 aux(5) =< -12*A-60*B+1988 aux(70) =< -12*A-60*B+3131/2 aux(2) =< -7*A-35*B+3/2*H+2*K+242 aux(2) =< -7*A-35*B+15/2*H+10*K+328 aux(71) =< -6*A-30*B+994 it(19) =< -6*A-30*B+2053/2 aux(3) =< -6*A-30*B+9133/12 aux(5) =< -4*A-20*B+448 aux(70) =< -4*A-20*B+727/2 aux(71) =< -2*A-10*B+224 it(19) =< -2*A-10*B+461/2 aux(6) =< -2*A-10*B+H+68 aux(6) =< -2*A-10*B+5*H+88 s(9) =< -54/7*A-270/7*B+41439/28 s(9) =< -18/7*A-90/7*B+9195/28 it(17) =< -A/7-5/7*B+39/7 it(17) =< -A/7-5/7*B+69/7 it(20) =< A/12-B/12+1/12 aux(72) =< -14*A-70*B+2473/2 aux(73) =< -2*A-10*B+2129/12 aux(1) =< aux(72) aux(43) =< aux(72) aux(3) =< aux(73) aux(43) =< aux(73) s(7) =< aux(70) s(16) =< aux(70) it(18) =< aux(71) s(16) =< aux(71) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) s(16) =< it(17)*aux(43) with precondition: [F=4,G+10=I,H=J+2,G+10=K,H>=30,7*G+972>=19*H,35>=5*B+A,A>=2*B+7,A>=B,H>=G+7,G+12>=H,21*G+2615>=57*H+35*B+7*A,7*G+14*A+692>=28*B+19*H] * Chain [[20],[17],26]: 1*it(17)+1*it(20)+1*s(16)+0 Such that:s(16) =< -6/7*A-30/7*B+89/2 it(17) =< -A/7-5/7*B+69/7 it(20) =< A/12-B/12+1/12 aux(74) =< -2/7*A-10/7*B+25/2 aux(75) =< -A/7-5/7*B+39/7 aux(43) =< aux(74) s(16) =< aux(74) aux(43) =< aux(75) it(17) =< aux(75) s(16) =< it(17)*aux(43) with precondition: [F=3,35>=5*B+A,A>=2*B+7,A>=B] * Chain [[20],[17],25]: 1*it(17)+1*it(20)+1*s(10)+1*s(16)+0 Such that:s(10) =< 12 aux(76) =< -6*A-30*B+604 s(16) =< -6/7*A-30/7*B+89/2 it(17) =< -A/7-5/7*B+39/7 it(17) =< -A/7-5/7*B+69/7 it(20) =< A/12-B/12+1/12 aux(77) =< -2*A-10*B+146 aux(78) =< -2/7*A-10/7*B+25/2 aux(43) =< aux(77) aux(76) =< aux(77) aux(43) =< aux(78) s(16) =< aux(78) s(10) =< aux(76) s(16) =< aux(76) s(16) =< it(17)*aux(43) with precondition: [F=3,35>=5*B+A,A>=2*B+7,A>=B] * Chain [[20],[17],24]: 1*it(17)+1*it(20)+1*s(11)+1*s(12)+1*s(16)+0 Such that:aux(79) =< 15 s(12) =< 7/4 aux(80) =< -6*A-30*B+604 s(16) =< -6/7*A-30/7*B+89/2 it(17) =< -A/7-5/7*B+39/7 it(17) =< -A/7-5/7*B+69/7 it(20) =< A/12-B/12+1/12 aux(81) =< -2*A-10*B+146 aux(82) =< -2/7*A-10/7*B+25/2 aux(43) =< aux(81) aux(80) =< aux(81) aux(43) =< aux(82) s(16) =< aux(82) s(11) =< aux(79) s(12) =< aux(79) s(11) =< aux(80) s(16) =< aux(80) s(16) =< it(17)*aux(43) with precondition: [F=3,35>=5*B+A,A>=2*B+7,A>=B] * Chain [[20],[17],23]: 1*it(17)+1*it(20)+1*s(16)+0 Such that:s(16) =< -6/7*A-30/7*B+89/2 it(17) =< -A/7-5/7*B+69/7 it(20) =< A/12-B/12+1/12 aux(83) =< -2/7*A-10/7*B+25/2 aux(84) =< -A/7-5/7*B+39/7 aux(43) =< aux(83) s(16) =< aux(83) aux(43) =< aux(84) it(17) =< aux(84) s(16) =< it(17)*aux(43) with precondition: [F=3,35>=5*B+A,A>=2*B+7,A>=B] * Chain [[20],26]: 1*it(20)+0 Such that:it(20) =< A/12-B/12+1/12 it(20) =< -B/2+15 with precondition: [F=3,29>=B,A>=B] * Chain [[20],25]: 1*it(20)+1*s(10)+0 Such that:s(10) =< 12 s(10) =< -A/12-5/12*B+8 it(20) =< A/12-B/12+1/12 with precondition: [F=3,90>=5*B+A,A>=B] * Chain [[20],24]: 1*it(20)+1*s(11)+1*s(12)+0 Such that:s(12) =< 2 s(11) =< -A/12-5/12*B+8 it(20) =< A/12-B/12+1/12 s(12) =< A/72+5/72*B+7/6 with precondition: [F=3,90>=5*B+A,A>=B,A+5*B+36>=0] * Chain [[20],23]: 1*it(20)+0 Such that:it(20) =< A/12-B/12+1/12 it(20) =< -B/2+29/2 with precondition: [F=3,27>=B,A>=B] * Chain [[20],22]: 1*it(20)+1*s(13)+0 Such that:s(13) =< -A/6-5/6*B+29 it(20) =< A/12-B/12+1/12 s(13) =< A/30+B/6 with precondition: [F=3,27>=B,A>=16,173>=5*B+A,A>=B,A+5*B>=41] * Chain [[20],21]: 1*it(20)+0 Such that:it(20) =< A/10-G/10-H/2+15 it(20) =< A/10-G/60-H/12+1/12 with precondition: [F=4,G+10=I,E=K,A+5*B=5*H+G,A+5*B=5*J+G+10,A>=G+10,G+155>=5*B+A,6*G+60>=5*B+A,A+5*B>=G+150] * Chain [[18,19],26]: 1*it(18)+1*it(19)+1*s(7)+1*s(8)+1*s(9)+0 Such that:aux(3) =< -A+B+1/2 aux(4) =< -251/288*A-71/96*B+13961/288 aux(2) =< -97/96*A-5/32*B+3115/96 s(9) =< -73/168*A-71/168*B+4367/168 s(7) =< -13/12*A-B/4+451/12 aux(6) =< -7/36*A-B/4+493/36 it(19) =< -5/48*A-11/48*B+169/16 s(9) =< -5/84*A-7/12*B+607/28 aux(3) =< -A/2+65/12 aux(1) =< -A/2-3/8*B+111/8 s(7) =< -A/2-B/2+35/2 s(8) =< -A/6-7/24*B+105/8 it(19) =< A/24-7/24*B+33/4 s(9) =< 185/1008*A-185/144*B+40885/1008 aux(5) =< -B/3+10 it(18) =< -B/4+15/2 it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) with precondition: [F=3,29>=B,B>=A+1,2*B>=A+8] * Chain [[18,19],25]: 1*it(18)+1*it(19)+1*s(7)+1*s(8)+1*s(9)+1*s(10)+0 Such that:s(8) =< -2*A-7/2*B+75 aux(3) =< -A+B+1/2 s(9) =< -5/12*A-49/12*B+76 s(9) =< -5/84*A-7/12*B+143/14 aux(3) =< -A/2+65/12 aux(2) =< -A/2-3/8*B+71/8 aux(1) =< -A/2-3/8*B+111/8 s(7) =< -A/2-B/2+11 s(7) =< -A/2-B/2+12 aux(4) =< -A/6-25/24*B+445/24 s(8) =< -A/6-7/24*B+139/24 it(19) =< A/24-7/24*B+19/4 aux(6) =< -B+18 aux(2) =< -31/8*B+431/8 it(18) =< -B/2+9 aux(5) =< -B/3+10 aux(6) =< -B/3+17/3 it(18) =< -B/4+17/4 aux(11) =< -2*A-25/2*B+237 aux(12) =< A/12-7/12*B+10 aux(4) =< aux(11) s(10) =< aux(11) it(19) =< aux(12) s(10) =< aux(12) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) with precondition: [F=3,306>=19*A+11*B,7*A+150>=14*B,A+90>=7*B,B>=A+1,2*B>=A+8] * Chain [[18,19],24]: 1*it(18)+1*it(19)+1*s(7)+1*s(8)+1*s(9)+1*s(11)+1*s(12)+0 Such that:s(12) =< 2 aux(4) =< -2*A-25/2*B+237 s(8) =< -2*A-7/2*B+75 aux(3) =< -A+B+1/2 s(9) =< -5/84*A-7/12*B+143/14 aux(3) =< -A/2+65/12 aux(2) =< -A/2-3/8*B+71/8 aux(1) =< -A/2-3/8*B+111/8 s(7) =< -A/2-B/2+11 s(7) =< -A/2-B/2+12 aux(4) =< -A/6-25/24*B+445/24 s(8) =< -A/6-7/24*B+139/24 it(19) =< A/24-7/24*B+19/4 aux(6) =< -B+18 aux(2) =< -31/8*B+431/8 it(18) =< -B/2+9 aux(5) =< -B/3+10 aux(6) =< -B/3+17/3 it(18) =< -B/4+17/4 aux(18) =< -5/12*A-49/12*B+76 aux(19) =< A/12-7/12*B+10 s(9) =< aux(18) s(11) =< aux(18) it(19) =< aux(19) s(11) =< aux(19) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) with precondition: [F=3,306>=19*A+11*B,7*A+150>=14*B,A+90>=7*B,B>=A+1,2*B>=A+8] * Chain [[18,19],23]: 1*it(18)+1*it(19)+1*s(7)+1*s(8)+1*s(9)+0 Such that:aux(3) =< -A+B+1/2 aux(3) =< -A/2+65/12 aux(1) =< -A/2-3/8*B+111/8 s(7) =< -A/2-B/2+35/2 s(7) =< -A/2-B/2+51/2 s(8) =< -A/6-7/24*B+97/8 aux(2) =< 5/4*A-31/8*B+743/8 s(9) =< -7*B+203 s(9) =< -B+193/7 aux(4) =< -53/24*B+1441/24 s(8) =< -35/24*B+1015/24 aux(2) =< -31/8*B+803/8 aux(5) =< -B/3+10 aux(6) =< -B/3+29/3 it(18) =< -B/4+29/4 aux(25) =< -4*B+116 aux(26) =< -53/24*B+1537/24 it(19) =< aux(25) s(7) =< aux(25) aux(4) =< aux(26) it(19) =< aux(26) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) with precondition: [F=3,26>=B,A+162>=7*B,A+42>=2*B,B>=A+1,2*B>=A+8] * Chain [[18,19],22]: 1*it(18)+1*it(19)+1*s(7)+1*s(8)+1*s(9)+1*s(13)+0 Such that:s(13) =< 2 aux(3) =< -A+B+1/2 s(9) =< -5/6*A-49/6*B+261 aux(3) =< -A/2+65/12 aux(1) =< -A/2-3/8*B+111/8 s(7) =< -A/2-B/2+29 s(7) =< -A/2-B/2+35/2 s(8) =< -A/6-7/24*B+319/24 aux(2) =< 5/4*A-31/8*B+743/8 s(7) =< -4*B+116 s(8) =< -35/24*B+1015/24 aux(2) =< -31/8*B+803/8 aux(5) =< -B/3+10 aux(6) =< -B/3+29/3 it(18) =< -B/4+29/4 aux(31) =< -A/6-25/24*B+841/24 aux(32) =< -7*B+203 aux(33) =< -53/24*B+1537/24 aux(4) =< aux(31) s(13) =< aux(31) it(19) =< aux(32) s(9) =< aux(32) aux(4) =< aux(33) it(19) =< aux(33) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) with precondition: [F=3,26>=B,A+162>=7*B,A+42>=2*B,B>=A+1,2*B>=A+8] * Chain [[18,19],21]: 1*it(18)+1*it(19)+1*s(7)+1*s(8)+1*s(9)+0 Such that:aux(3) =< -A+B+1/2 s(9) =< -5/84*A-7/12*B+607/28 s(9) =< -5/84*A-7/12*B+5/84*I+7/12*J+4/7 aux(3) =< -A/2+65/12 aux(1) =< -A/2-3/8*B+111/8 aux(2) =< -A/2-3/8*B+G/2+3/8*H s(7) =< -A/2-B/2+35/2 s(7) =< -A/2-B/2+I/2+J/2 aux(4) =< -A/6-25/24*B+I/6+25/24*J+5/12 s(8) =< -A/6-7/24*B+105/8 s(8) =< -A/6-7/24*B+I/6+7/24*J it(19) =< A/24-7/24*B+33/4 it(19) =< A/24-7/24*B-I/24+7/24*J+1 s(9) =< 185/1008*A-185/144*B+40885/1008 aux(2) =< -31/8*B+31/8*J aux(5) =< -B/3+10 aux(6) =< -B/3+J/3+2/3 it(18) =< -B/4+15/2 it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) with precondition: [F=4,G+10=I,H=J+2,G+10=K,29>=B,H>=30,B>=A+1,2*B>=A+8,H>=G+7,G+12>=H,11*H+19*G+24>=19*A+11*B,7*G+832>=19*H+7*A+7*B,7*A+14*H>=14*B+2*G+78,A+7*H>=7*B+G+24,3*G+163>=3*A+3*H+2*B] * Chain [[17],[18,19],26]: 1*it(17)+1*it(18)+1*it(19)+1*s(7)+1*s(8)+1*s(9)+1*s(16)+0 Such that:it(18) =< 17/2 aux(5) =< 34/3 it(19) =< 35/4 s(7) =< 55/2 s(8) =< 407/24 aux(6) =< 641/36 s(9) =< 699/28 aux(2) =< 4727/96 aux(4) =< 18829/288 aux(5) =< -A-12*B+378 s(7) =< -A-12*B+587/2 aux(4) =< -29/2*A-174*B+215081/32 s(8) =< -11/2*A-66*B+4587/2 s(9) =< -9/14*A-54/7*B+7935/28 aux(2) =< -7/2*A-42*B+54283/32 aux(43) =< -3/14*A-4/7*B+5 aux(43) =< -A/2+7 it(18) =< -A/2-6*B+189 it(19) =< -A/2-6*B+391/2 aux(3) =< -A/2-6*B+1709/12 aux(3) =< A/2-B+125/12 it(17) =< A/14-B/7+4/7 aux(1) =< 7/8*A-7/4*B+145/8 aux(44) =< -4*A-48*B+7309/4 aux(45) =< -7/2*A-42*B+1983/2 aux(6) =< aux(44) s(16) =< aux(44) aux(1) =< aux(45) s(16) =< aux(45) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) s(16) =< it(17)*aux(43) with precondition: [F=3,A+7>=2*B,B>=A+1] * Chain [[17],[18,19],25]: 1*it(17)+1*it(18)+1*it(19)+1*s(7)+1*s(8)+1*s(9)+1*s(10)+1*s(16)+0 Such that:aux(6) =< 7 aux(12) =< 11 s(7) =< 21 aux(11) =< 319 s(9) =< 27/2 aux(5) =< 34/3 s(8) =< 77/8 aux(2) =< 147/8 aux(4) =< 203/8 aux(5) =< -A-12*B+378 aux(11) =< -29/2*A-174*B+3219 aux(4) =< -29/2*A-174*B+6061/2 s(8) =< -11/2*A-66*B+2299/2 s(9) =< -9/14*A-54/7*B+1881/14 aux(2) =< -7/2*A-42*B+1463/2 aux(43) =< -3/14*A-4/7*B+5 aux(43) =< -A/2+7 aux(3) =< -A/2-6*B+1709/12 aux(3) =< A/2-B+125/12 it(17) =< A/14-B/7+4/7 aux(1) =< 7/8*A-7/4*B+145/8 aux(48) =< 21/4 aux(49) =< -A-12*B+209 aux(50) =< -7/2*A-42*B+1983/2 aux(51) =< -A/2-6*B+111 aux(52) =< -A/2-6*B+209/2 it(18) =< aux(48) it(19) =< aux(48) aux(6) =< aux(49) s(7) =< aux(49) aux(1) =< aux(50) s(16) =< aux(50) aux(12) =< aux(51) s(16) =< aux(51) it(18) =< aux(52) it(19) =< aux(52) aux(4) =< aux(11) s(10) =< aux(11) it(19) =< aux(12) s(10) =< aux(12) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) s(16) =< it(17)*aux(43) with precondition: [F=3,A+7>=2*B,B>=A+1] * Chain [[17],[18,19],24]: 1*it(17)+1*it(18)+1*it(19)+1*s(7)+1*s(8)+1*s(9)+1*s(11)+1*s(12)+1*s(16)+0 Such that:s(12) =< 2 aux(6) =< 7 aux(19) =< 11 s(7) =< 21 aux(18) =< 99 s(9) =< 27/2 aux(5) =< 34/3 s(8) =< 77/8 aux(2) =< 147/8 aux(4) =< 203/8 aux(5) =< -A-12*B+378 aux(4) =< -29/2*A-174*B+6061/2 s(8) =< -11/2*A-66*B+2299/2 aux(18) =< -9/2*A-54*B+999 s(9) =< -9/14*A-54/7*B+1881/14 aux(2) =< -7/2*A-42*B+1463/2 aux(43) =< -3/14*A-4/7*B+5 aux(43) =< -A/2+7 aux(3) =< -A/2-6*B+1709/12 aux(3) =< A/2-B+125/12 it(17) =< A/14-B/7+4/7 aux(1) =< 7/8*A-7/4*B+145/8 aux(55) =< 21/4 aux(56) =< -A-12*B+209 aux(57) =< -7/2*A-42*B+1983/2 aux(58) =< -A/2-6*B+111 aux(59) =< -A/2-6*B+209/2 it(18) =< aux(55) it(19) =< aux(55) aux(6) =< aux(56) s(7) =< aux(56) aux(1) =< aux(57) s(16) =< aux(57) aux(19) =< aux(58) s(16) =< aux(58) it(18) =< aux(59) it(19) =< aux(59) s(9) =< aux(18) s(11) =< aux(18) it(19) =< aux(19) s(11) =< aux(19) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) s(16) =< it(17)*aux(43) with precondition: [F=3,A+7>=2*B,B>=A+1] * Chain [[17],[18,19],23]: 1*it(17)+1*it(18)+1*it(19)+1*s(7)+1*s(8)+1*s(9)+1*s(16)+0 Such that:aux(25) =< 132 it(18) =< 33/4 aux(5) =< 34/3 s(7) =< 55/2 aux(1) =< 187/8 s(9) =< 221/7 s(8) =< 383/24 aux(4) =< 551/8 aux(26) =< 583/8 aux(2) =< 707/8 aux(25) =< -4*A-48*B+1460 aux(6) =< -A-12*B+365 aux(5) =< -A-12*B+378 s(7) =< -A-12*B+587/2 aux(4) =< -53/2*A-318*B+18097/2 aux(26) =< -53/2*A-318*B+19345/2 aux(2) =< -21/2*A-126*B+7847/2 aux(1) =< -7/2*A-42*B+1983/2 aux(43) =< -3/14*A-4/7*B+5 aux(43) =< -A/2+7 it(18) =< -A/2-6*B+365/2 aux(3) =< -A/2-6*B+1709/12 aux(3) =< A/2-B+125/12 aux(6) =< A/3-2/3*B+9 it(17) =< A/14-B/7+4/7 aux(62) =< -A-12*B+2425/7 aux(63) =< -11/2*A-66*B+4275/2 s(9) =< aux(62) s(16) =< aux(62) s(8) =< aux(63) s(16) =< aux(63) it(19) =< aux(25) s(7) =< aux(25) aux(4) =< aux(26) it(19) =< aux(26) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) s(16) =< it(17)*aux(43) with precondition: [F=3,A+7>=2*B,B>=A+1] * Chain [[17],[18,19],22]: 1*it(17)+1*it(18)+1*it(19)+1*s(7)+1*s(8)+1*s(9)+1*s(13)+1*s(16)+0 Such that:s(13) =< 2 aux(6) =< 11 aux(32) =< 231 s(9) =< 307 it(18) =< 33/4 aux(5) =< 34/3 s(7) =< 55/2 s(8) =< 137/8 aux(1) =< 187/8 aux(33) =< 583/8 aux(2) =< 707/8 aux(32) =< -7*A-84*B+2555 aux(6) =< -A-12*B+365 aux(5) =< -A-12*B+378 s(7) =< -A-12*B+587/2 aux(33) =< -53/2*A-318*B+19345/2 aux(31) =< -29/2*A-174*B+11209/2 aux(2) =< -21/2*A-126*B+7847/2 aux(1) =< -7/2*A-42*B+1983/2 aux(43) =< -3/14*A-4/7*B+5 aux(43) =< -A/2+7 it(18) =< -A/2-6*B+365/2 aux(3) =< -A/2-6*B+1709/12 aux(3) =< A/2-B+125/12 it(17) =< A/14-B/7+4/7 aux(31) =< 29/24*A-29/12*B+277/8 aux(66) =< -9*A-108*B+3415 aux(67) =< -11/2*A-66*B+4639/2 s(9) =< aux(66) s(16) =< aux(66) s(8) =< aux(67) s(16) =< aux(67) aux(4) =< aux(31) s(13) =< aux(31) it(19) =< aux(32) s(9) =< aux(32) aux(4) =< aux(33) it(19) =< aux(33) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) s(16) =< it(17)*aux(43) with precondition: [F=3,A+7>=2*B,B>=A+1] * Chain [[17],[18,19],21]: 1*it(17)+1*it(18)+1*it(19)+1*s(7)+1*s(8)+1*s(9)+1*s(16)+0 Such that:it(18) =< 17/2 aux(3) =< 25/2 aux(5) =< 34/3 it(19) =< 35/4 s(7) =< 55/2 aux(1) =< 187/8 s(8) =< 407/24 aux(5) =< -A-12*B+378 aux(6) =< -A-12*B+13*J+14 aux(4) =< -29/2*A-174*B+26*I+325/2*J+203 s(8) =< -11/2*A-66*B+4587/2 s(9) =< -9/14*A-54/7*B+7935/28 s(9) =< -9/14*A-54/7*B+65/84*I+91/12*J+9 aux(1) =< -7/2*A-42*B+1983/2 aux(2) =< -7/2*A-42*B+26*I+39/2*J+49 aux(43) =< -3/14*A-4/7*B+5 aux(43) =< -A/2+7 it(19) =< -A/2-6*B+391/2 aux(3) =< -A/2-6*B+1709/12 aux(6) =< A/3-2/3*B+J/3 it(17) =< A/14-B/7+4/7 aux(2) =< 7/8*A-7/4*B+I/2+3/8*J aux(4) =< 29/24*A-29/12*B+I/6+25/24*J aux(70) =< -A-12*B+587/2 aux(71) =< -A/2-6*B+189 s(7) =< aux(70) s(16) =< aux(70) it(18) =< aux(71) s(16) =< aux(71) it(19) =< aux(4) s(8) =< aux(4) it(18) =< aux(5) it(19) =< aux(5) it(18) =< aux(6) it(19) =< aux(6) s(7) =< it(19)*(3/8)+aux(2) s(7) =< it(19)*(3/8)+aux(1) s(7) =< it(18)*aux(3) s(16) =< it(17)*aux(43) with precondition: [F=4,G+10=I,H=J+2,G+10=K,H>=30,7*G+972>=19*H,A+7>=2*B,B>=A+1,H>=G+7,G+12>=H,7*G+14*A+888>=28*B+19*H] * Chain [[17],26]: 1*it(17)+1*s(16)+0 Such that:aux(43) =< -3/14*A-4/7*B+5 aux(43) =< -A/2+7 s(16) =< -A/14-6/7*B+15/2 it(17) =< A/14-B/7+4/7 s(16) =< it(17)*aux(43) with precondition: [F=3,A+7>=2*B,B>=A+1] * Chain [[17],25]: 1*it(17)+1*s(10)+1*s(16)+0 Such that:s(10) =< 12 aux(43) =< -3/14*A-4/7*B+5 aux(43) =< -A/2+7 s(16) =< -A/14-6/7*B+15/2 it(17) =< A/2-B+15 it(17) =< A/14-B/7+4/7 aux(76) =< -A/2-6*B+111 s(10) =< aux(76) s(16) =< aux(76) s(16) =< it(17)*aux(43) with precondition: [F=3,A+7>=2*B,B>=A+1] * Chain [[17],24]: 1*it(17)+1*s(11)+1*s(12)+1*s(16)+0 Such that:s(12) =< 7/4 aux(43) =< -3/14*A-4/7*B+5 aux(43) =< -A/2+7 s(16) =< -A/14-6/7*B+15/2 it(17) =< A/14-B/7+4/7 aux(79) =< 15 aux(80) =< -A/2-6*B+111 s(11) =< aux(79) s(12) =< aux(79) s(11) =< aux(80) s(16) =< aux(80) s(16) =< it(17)*aux(43) with precondition: [F=3,A+7>=2*B,B>=A+1] * Chain [[17],23]: 1*it(17)+1*s(16)+0 Such that:aux(43) =< -3/14*A-4/7*B+5 aux(43) =< -A/2+7 s(16) =< -A/14-6/7*B+15/2 it(17) =< A/14-B/7+4/7 s(16) =< it(17)*aux(43) with precondition: [F=3,A+7>=2*B,B>=A+1] * Chain [26]: 0 with precondition: [F=3] * Chain [25]: 1*s(10)+0 Such that:s(10) =< -A+B s(10) =< -A/2+3 with precondition: [F=3,5>=A,29>=B,B>=A+1] * Chain [24]: 1*s(11)+1*s(12)+0 Such that:s(11) =< -A/2+3 s(12) =< -A/6+B/6 s(12) =< -A/12+B/6 with precondition: [F=3,5>=A,29>=B,B>=A+2,2*B>=A+8] * Chain [23]: 0 with precondition: [F=3,29>=B] * Chain [22]: 1*s(13)+0 Such that:s(13) =< -A/6+B/6 with precondition: [F=3,29>=B,A>=6,B>=A+1] * Chain [21]: 0 with precondition: [F=4,G=A,I=C,J=D,K=E,B=H,B>=30] #### Cost of chains of evalcomplexbb10in_loop_cont(A,B,C,D,E,F,G): * Chain [28]: 0 with precondition: [A=3] * Chain [27]: 0 with precondition: [A=4] #### Cost of chains of evalcomplexentryin(A,B,C,D,E,F): * Chain [48]: 0 with precondition: [] * Chain [47]: 0 with precondition: [29>=A] * Chain [46]: 1*s(414)+0 Such that:s(414) =< A-B s(414) =< -B/2+3 with precondition: [29>=A,5>=B,A>=B+1] * Chain [45]: 1*s(415)+1*s(416)+0 Such that:s(416) =< A/6-B/6 s(416) =< A/6-B/12 s(415) =< -B/2+3 with precondition: [29>=A,5>=B,A>=B+2,2*A>=B+8] * Chain [44]: 1*s(417)+0 Such that:s(417) =< A/6-B/6 with precondition: [29>=A,B>=6,A>=B+1] * Chain [43]: 1*s(418)+0 Such that:s(418) =< -A/2+15 s(418) =< -A/12+B/12+1/12 with precondition: [29>=A,B>=A] * Chain [42]: 1*s(419)+0 Such that:s(419) =< -A/2+15 s(419) =< -A/12+B/12+1/12 with precondition: [29>=A,B>=A,B+5*A>=168] * Chain [41]: 1*s(423)+1*s(424)+1*s(426)+1*s(428)+1*s(430)+1*s(432)+1*s(435)+1*s(437)+1*s(438)+1*s(441)+0 Such that:s(434) =< -589/96*A-217/96*B+7843/32 s(436) =< -503/288*A-251/288*B+7457/96 s(434) =< -85/96*A-97/96*B+1715/32 s(421) =< -71/96*A-251/288*B+13961/288 s(423) =< -71/168*A-73/168*B+4367/168 s(432) =< -23/24*A-73/168*B+6977/168 s(440) =< -19/36*A-7/36*B+87/4 s(435) =< -13/12*A-13/12*B+263/4 s(426) =< -11/48*A-5/48*B+169/16 s(438) =< -7/16*A-5/48*B+797/48 s(422) =< -5/32*A-97/96*B+3115/96 s(424) =< -A/4-13/12*B+451/12 s(425) =< -A/4-7/36*B+493/36 s(422) =< -209/192*B+3055/96 s(434) =< -93/64*B+4805/96 aux(239) =< A-B+1/2 aux(240) =< -185/144*A+185/1008*B+40885/1008 aux(241) =< -7/12*A-5/84*B+607/28 aux(242) =< -7/24*A-B/6+105/8 aux(243) =< -7/24*A+B/24+33/4 aux(244) =< -3/8*A-B/2+111/8 aux(245) =< -A/2-B/2+35/2 aux(246) =< -A/3+10 aux(247) =< -A/4+15/2 aux(248) =< -B+17 aux(249) =< -925/2016*B+35705/1008 aux(250) =< -11/16*B+99/8 aux(251) =< -5/48*B+85/12 aux(252) =< -B/2+65/12 s(420) =< aux(239) s(423) =< aux(240) s(432) =< aux(240) s(423) =< aux(241) s(432) =< aux(241) s(428) =< aux(242) s(437) =< aux(242) s(426) =< aux(243) s(438) =< aux(243) s(427) =< aux(244) s(424) =< aux(245) s(435) =< aux(245) s(430) =< aux(247) s(441) =< aux(247) s(424) =< aux(248) s(435) =< aux(248) s(423) =< aux(249) s(432) =< aux(249) s(427) =< aux(250) s(426) =< aux(251) s(438) =< aux(251) s(420) =< aux(252) s(426) =< s(421) s(428) =< s(421) s(430) =< aux(246) s(426) =< aux(246) s(430) =< s(425) s(426) =< s(425) s(424) =< s(426)*(3/8)+s(422) s(424) =< s(426)*(3/8)+s(427) s(424) =< s(430)*s(420) s(438) =< s(436) s(437) =< s(436) s(441) =< aux(246) s(438) =< aux(246) s(441) =< s(440) s(438) =< s(440) s(435) =< s(438)*(3/8)+s(434) s(435) =< s(438)*(3/8)+s(427) s(435) =< s(441)*s(420) with precondition: [29>=A,A>=B+1,2*A>=B+8] * Chain [40]: 1*s(442)+1*s(443)+0 Such that:s(442) =< -5/6*A-B/6+29 s(443) =< -A/12+B/12+1/12 s(442) =< A/6+B/30 with precondition: [27>=A,B>=16,173>=5*A+B,B>=A,B+5*A>=41] * Chain [39]: 1*s(445)+1*s(449)+1*s(452)+2*s(453)+1*s(458)+1*s(459)+1*s(462)+1*s(463)+1*s(465)+1*s(467)+1*s(476)+0 Such that:s(444) =< 25/2 s(448) =< 20237/96 s(455) =< -5*A-B+705/4 s(469) =< -1885/6*A-377/6*B+12000 s(469) =< -1305/2*A-261/2*B+22962 s(446) =< -1255/8*A-251/8*B+45221/8 s(463) =< -1175/108*A-235/108*B+14687/36 s(471) =< -945/4*A-189/4*B+33281/4 s(445) =< -745/12*A-149/12*B+9863/4 s(463) =< -695/36*A-139/36*B+24515/36 s(448) =< -485/96*A-97/96*B+16745/96 s(471) =< -455/4*A-91/4*B+17405/4 s(460) =< -455/288*A-91/288*B+5945/96 s(449) =< -235/24*A-47/24*B+737/2 s(456) =< -175/24*A-35/24*B+1059/4 s(450) =< -145/24*A-29/24*B+461/2 s(473) =< -125/36*A-25/36*B+1565/12 s(460) =< -105/32*A-21/32*B+11237/96 s(449) =< -65/4*A-13/4*B+2311/4 s(461) =< -65/12*A-13/12*B+841/4 s(473) =< -65/12*A-13/12*B+2321/12 s(465) =< -55/12*A-11/12*B+1997/12 s(462) =< -50/9*A-10/9*B+1333/6 s(461) =< -45/4*A-9/4*B+1597/4 s(450) =< -35/4*A-7/4*B+1273/4 s(447) =< -35/6*A-7/6*B+1273/6 s(448) =< -35/36*A-7/36*B+4055/96 s(462) =< -15/2*A-3/2*B+1711/6 aux(253) =< 55/2 aux(254) =< 161/12 aux(255) =< 187/2 aux(256) =< 187/8 aux(257) =< 1151/12 aux(258) =< -5*A-B+361/2 aux(259) =< -35/48*A-7/48*B+145/8 aux(260) =< -5/2*A-B/2+151/2 aux(261) =< -5/2*A-B/2+199/2 aux(262) =< -5/2*A-B/2+935/12 aux(263) =< -5/6*A-B/6+43/2 aux(264) =< -5/12*A-B/12+125/12 aux(265) =< -A/12+B/12+1/12 s(449) =< aux(253) s(467) =< aux(253) s(444) =< aux(254) s(466) =< aux(254) s(457) =< aux(255) s(451) =< aux(256) s(444) =< aux(257) s(466) =< aux(257) s(451) =< aux(259) s(457) =< aux(260) s(452) =< aux(261) s(465) =< aux(261) s(444) =< aux(262) s(466) =< aux(262) s(449) =< aux(263) s(467) =< aux(263) s(444) =< aux(264) s(466) =< aux(264) s(453) =< aux(265) s(444) =< aux(258) s(458) =< aux(258) s(458) =< s(455) s(459) =< s(455) s(452) =< s(456) s(459) =< s(456) s(451) =< s(457) s(449) =< s(457) s(452) =< s(446) s(459) =< s(446) s(458) =< s(447) s(452) =< s(447) s(458) =< s(450) s(452) =< s(450) s(449) =< s(452)*(3/8)+s(448) s(449) =< s(452)*(3/8)+s(451) s(449) =< s(458)*s(444) s(466) =< s(469) s(474) =< s(469) s(466) =< aux(258) s(475) =< aux(258) s(476) =< aux(258) s(474) =< s(471) s(467) =< s(471) s(467) =< s(457) s(475) =< s(473) s(476) =< s(473) s(467) =< s(473) s(465) =< s(474) s(463) =< s(474) s(476) =< s(475) s(465) =< s(475) s(476) =< s(461) s(465) =< s(461) s(467) =< s(465)*(3/8)+s(460) s(467) =< s(465)*(3/8)+s(451) s(467) =< s(476)*s(466) with precondition: [27>=A,173>=5*A+B,B>=A,B+5*A+36>=0] * Chain [38]: 1*s(477)+0 Such that:s(477) =< -A/2+29/2 s(477) =< -A/12+B/12+1/12 with precondition: [27>=A,B>=A] * Chain [37]: 1*s(478)+1*s(479)+1*s(480)+1*s(481)+1*s(483)+1*s(484)+1*s(485)+2*s(502)+1*s(504)+1*s(505)+0 Such that:s(478) =< 2 s(492) =< -7*A+203 s(493) =< -4*A+116 s(485) =< -A+193/7 s(488) =< -A+317/12 s(487) =< A-B+1/2 s(486) =< -53/24*A+1441/24 s(494) =< -53/24*A+1537/24 s(479) =< -49/6*A-5/6*B+261 s(495) =< -35/24*A+1015/24 s(496) =< -31/8*A+803/8 s(491) =< -31/8*A+5/4*B+743/8 s(482) =< -25/24*A-B/6+841/24 s(483) =< -7/24*A-B/6+97/8 s(484) =< -7/24*A-B/6+319/24 s(489) =< -3/8*A-B/2+111/8 s(480) =< -A/2-B/2+29 s(490) =< -A/2-B/2+35/2 s(481) =< -A/2-B/2+51/2 s(497) =< -A/3+10 s(498) =< -A/3+29/3 s(499) =< -A/4+29/4 s(490) =< -B+17 s(496) =< -31/8*B+193/2 s(489) =< -11/16*B+99/8 s(488) =< -B/2+65/12 s(500) =< s(487) s(500) =< s(488) s(480) =< s(490) s(481) =< s(490) s(501) =< s(491) s(485) =< s(492) s(480) =< s(493) s(484) =< s(495) s(483) =< s(495) s(501) =< s(496) s(502) =< s(499) s(503) =< s(482) s(478) =< s(482) s(504) =< s(492) s(479) =< s(492) s(503) =< s(494) s(504) =< s(494) s(504) =< s(503) s(484) =< s(503) s(502) =< s(497) s(504) =< s(497) s(502) =< s(498) s(504) =< s(498) s(480) =< s(504)*(3/8)+s(501) s(480) =< s(504)*(3/8)+s(489) s(480) =< s(502)*s(500) s(505) =< s(493) s(481) =< s(493) s(486) =< s(494) s(505) =< s(494) s(505) =< s(486) s(483) =< s(486) s(505) =< s(497) s(505) =< s(498) s(481) =< s(505)*(3/8)+s(501) s(481) =< s(505)*(3/8)+s(489) s(481) =< s(502)*s(500) with precondition: [26>=A,B+162>=7*A,B+42>=2*A,A>=B+1,2*A>=B+8] * Chain [36]: 1*s(506)+1*s(510)+1*s(512)+1*s(513)+1*s(519)+1*s(543)+1*s(544)+2*s(545)+1*s(547)+1*s(549)+1*s(551)+1*s(552)+0 Such that:s(506) =< 2 s(525) =< 25/2 s(536) =< 113/2 s(532) =< 149/3 s(534) =< 175/2 s(533) =< 187/8 s(531) =< 867/16 s(535) =< 1061/12 s(530) =< 5903/48 s(526) =< -265*A-53*B+18497/2 s(527) =< -35*A-7*B+2999/2 s(510) =< -20*A-4*B+4546/7 s(511) =< -5*A-B+167 s(528) =< -5*A-B+349/2 s(529) =< -5*A-B+361/2 s(512) =< -5*A-B+2323/14 s(513) =< -805/6*A-161/6*B+4669 s(513) =< -485/4*A-97/4*B+17749/4 s(514) =< -265/2*A-53/2*B+4611 s(507) =< -265/2*A-53/2*B+8467/2 s(515) =< -265/2*A-53/2*B+8851/2 s(516) =< -205/2*A-41/2*B+3835 s(517) =< -205/2*A-41/2*B+7103/2 s(530) =< -155/48*A-31/48*B+4787/48 s(531) =< -155/96*A-31/96*B+681/16 s(508) =< -105/2*A-21/2*B+1827 s(518) =< -55/6*A-11/6*B+319 s(519) =< -45/2*A-9/2*B+784 s(509) =< -35/2*A-7/2*B+609 s(532) =< -35/24*A-7/24*B+235/6 s(533) =< -35/48*A-7/48*B+145/8 s(538) =< -31/8*A+741/8 s(520) =< -5/2*A-B/2+87 s(521) =< -5/2*A-B/2+89 s(534) =< -5/2*A-B/2+139/2 s(522) =< -5/2*A-B/2+167/2 s(523) =< -5/2*A-B/2+171/2 s(535) =< -5/2*A-B/2+845/12 s(524) =< -5/2*A-B/2+1129/14 s(536) =< -5/3*A-B/3+89/2 s(537) =< -A/12+B/12+1/12 s(538) =< 31/40*B+4821/40 s(539) =< s(525) s(514) =< s(526) s(515) =< s(526) s(540) =< s(527) s(541) =< s(527) s(521) =< s(529) s(523) =< s(529) s(540) =< s(530) s(541) =< s(530) s(542) =< s(531) s(539) =< s(532) s(542) =< s(533) s(543) =< s(534) s(544) =< s(534) s(539) =< s(535) s(543) =< s(536) s(544) =< s(536) s(545) =< s(537) s(540) =< s(538) s(541) =< s(538) s(539) =< s(528) s(546) =< s(528) s(547) =< s(528) s(540) =< s(516) s(543) =< s(516) s(543) =< s(518) s(519) =< s(518) s(546) =< s(520) s(547) =< s(520) s(548) =< s(508) s(506) =< s(508) s(549) =< s(509) s(519) =< s(509) s(548) =< s(514) s(549) =< s(514) s(549) =< s(548) s(513) =< s(548) s(547) =< s(521) s(549) =< s(521) s(547) =< s(546) s(549) =< s(546) s(543) =< s(549)*(3/8)+s(540) s(543) =< s(549)*(3/8)+s(542) s(543) =< s(547)*s(539) s(550) =< s(528) s(551) =< s(528) s(541) =< s(517) s(544) =< s(517) s(550) =< s(522) s(551) =< s(522) s(544) =< s(524) s(512) =< s(524) s(552) =< s(511) s(544) =< s(511) s(507) =< s(515) s(552) =< s(515) s(552) =< s(507) s(510) =< s(507) s(551) =< s(523) s(552) =< s(523) s(551) =< s(550) s(552) =< s(550) s(544) =< s(552)*(3/8)+s(541) s(544) =< s(552)*(3/8)+s(542) s(544) =< s(551)*s(539) with precondition: [24>=A,B+138>=7*A,155>=5*A+B,B>=A,B+5*A+36>=0] * Chain [35]: 0 with precondition: [A>=30] * Chain [34]: 1*s(553)+2*s(575)+2*s(577)+2*s(579)+2*s(580)+2*s(582)+1*s(583)+1*s(584)+0 Such that:s(553) =< 2 s(568) =< -A+18 s(556) =< A-B+1/2 s(557) =< -49/12*A-5/12*B+76 s(569) =< -31/8*A+431/8 s(554) =< -25/2*A-2*B+237 s(564) =< -25/24*A-B/6+445/24 s(555) =< -7/2*A-2*B+75 s(558) =< -7/12*A-5/84*B+143/14 s(566) =< -7/12*A+B/12+10 s(565) =< -7/24*A-B/6+139/24 s(567) =< -7/24*A+B/24+19/4 s(560) =< -3/8*A-B/2+71/8 s(561) =< -3/8*A-B/2+111/8 s(570) =< -A/2+9 s(562) =< -A/2-B/2+11 s(563) =< -A/2-B/2+12 s(571) =< -A/3+10 s(572) =< -A/3+17/3 s(573) =< -A/4+17/4 s(569) =< -31/8*B+50 s(560) =< -11/16*B+59/8 s(559) =< -B/2+65/12 s(574) =< s(554) s(575) =< s(555) s(576) =< s(556) s(577) =< s(557) s(577) =< s(558) s(576) =< s(559) s(578) =< s(560) s(579) =< s(562) s(579) =< s(563) s(574) =< s(564) s(575) =< s(565) s(580) =< s(567) s(581) =< s(568) s(578) =< s(569) s(582) =< s(570) s(581) =< s(572) s(582) =< s(573) s(583) =< s(557) s(580) =< s(566) s(583) =< s(566) s(580) =< s(574) s(575) =< s(574) s(582) =< s(571) s(580) =< s(571) s(582) =< s(581) s(580) =< s(581) s(579) =< s(580)*(3/8)+s(578) s(579) =< s(580)*(3/8)+s(561) s(579) =< s(582)*s(576) s(584) =< s(554) s(584) =< s(566) with precondition: [306>=19*B+11*A,7*B+150>=14*A,B+90>=7*A,A>=B+1,2*A>=B+8] * Chain [33]: 1*s(585)+1*s(590)+1*s(591)+1*s(617)+1*s(618)+1*s(619)+1*s(620)+2*s(623)+2*s(625)+1*s(626)+1*s(628)+1*s(629)+1*s(630)+0 Such that:s(585) =< 2 s(592) =< 25/2 s(601) =< 583/16 s(596) =< 11149/112 s(586) =< -220*A-44*B+8613/2 s(587) =< -180*A-36*B+6857/2 s(593) =< -15*A-3*B+270 s(594) =< -5*A-B+100 s(595) =< -5*A-B+965/6 s(596) =< -2945/672*A-589/672*B+7615/112 s(588) =< -905/12*A-181/12*B+1514 s(589) =< -805/12*A-161/12*B+1266 s(597) =< -805/12*A-161/12*B+2415/2 s(598) =< -175/12*A-35/12*B+269 s(599) =< -175/24*A-35/24*B+525/4 s(600) =< -155/12*A-31/12*B+281 s(601) =< -155/96*A-31/96*B+397/16 s(602) =< -105/2*A-21/2*B+945 s(590) =< -105/2*A-21/2*B+1003 s(591) =< -55/12*A-11/12*B+87 s(603) =< -55/12*A-11/12*B+165/2 s(604) =< -55/56*A-11/56*B+6029/392 s(612) =< -31/8*A+369/8 s(605) =< -20/3*A-4/3*B+120 s(606) =< -20/3*A-4/3*B+529/3 s(607) =< -5/2*A-B/2+45 s(608) =< -5/2*A-B/2+71 s(609) =< -5/3*A-B/3+30 s(610) =< -5/3*A-B/3+31 s(611) =< -A/12+B/12+1/12 s(612) =< 31/40*B+2961/40 s(613) =< s(592) s(614) =< s(593) s(615) =< s(593) s(613) =< s(595) s(616) =< s(596) s(617) =< s(597) s(618) =< s(597) s(619) =< s(599) s(620) =< s(599) s(616) =< s(601) s(614) =< s(602) s(615) =< s(602) s(617) =< s(603) s(618) =< s(603) s(616) =< s(604) s(621) =< s(605) s(622) =< s(606) s(622) =< s(608) s(619) =< s(609) s(620) =< s(609) s(591) =< s(610) s(590) =< s(610) s(623) =< s(611) s(616) =< s(612) s(624) =< s(594) s(625) =< s(594) s(588) =< s(589) s(626) =< s(589) s(627) =< s(598) s(626) =< s(598) s(624) =< s(600) s(627) =< s(600) s(621) =< s(607) s(625) =< s(607) s(617) =< s(588) s(628) =< s(588) s(619) =< s(627) s(628) =< s(627) s(619) =< s(614) s(626) =< s(614) s(625) =< s(622) s(619) =< s(622) s(625) =< s(621) s(619) =< s(621) s(591) =< s(619)*(3/8)+s(616) s(591) =< s(619)*(3/8)+s(624) s(591) =< s(625)*s(613) s(586) =< s(587) s(629) =< s(587) s(629) =< s(598) s(615) =< s(586) s(630) =< s(586) s(620) =< s(627) s(630) =< s(627) s(620) =< s(615) s(629) =< s(615) s(620) =< s(622) s(620) =< s(621) s(590) =< s(620)*(3/8)+s(616) s(590) =< s(620)*(3/8)+s(624) s(590) =< s(625)*s(613) with precondition: [7*B+52>=14*A,B+66>=7*A,78>=5*A+B,B>=A,B+5*A+36>=0] * Chain [32]: 1*s(631)+1*s(632)+0 Such that:s(631) =< 12 s(631) =< -5/12*A-B/12+8 s(632) =< -A/12+B/12+1/12 with precondition: [90>=5*A+B,B>=A] * Chain [31]: 1*s(633)+1*s(634)+1*s(635)+0 Such that:s(633) =< 2 s(634) =< -5/12*A-B/12+8 s(635) =< -A/12+B/12+1/12 s(633) =< 5/72*A+B/72+7/6 with precondition: [90>=5*A+B,B>=A,B+5*A+36>=0] * Chain [30]: 1*s(636)+1*s(641)+1*s(643)+1*s(644)+1*s(645)+1*s(646)+1*s(647)+1*s(648)+1*s(649)+1*s(652)+1*s(713)+1*s(714)+1*s(717)+1*s(718)+1*s(719)+1*s(720)+1*s(721)+1*s(722)+1*s(724)+1*s(725)+1*s(726)+1*s(727)+1*s(728)+2*s(741)+2*s(742)+9*s(743)+10*s(744)+1*s(746)+1*s(748)+2*s(750)+1*s(751)+2*s(752)+1*s(753)+1*s(754)+1*s(755)+1*s(757)+1*s(758)+1*s(759)+1*s(761)+1*s(763)+1*s(766)+1*s(767)+1*s(769)+1*s(775)+1*s(776)+1*s(781)+0 Such that:s(663) =< 2 s(664) =< 7 s(665) =< 11 s(636) =< 12 s(637) =< 15 s(666) =< 21 s(638) =< 99 s(639) =< 132 s(640) =< 231 s(641) =< 307 s(642) =< 319 s(643) =< 7/4 s(667) =< 21/4 s(764) =< 25/2 s(668) =< 27/2 s(669) =< 33/4 s(672) =< 77/8 s(646) =< 137/8 s(673) =< 147/8 s(675) =< 203/8 s(647) =< 221/7 s(648) =< 383/24 s(650) =< 551/8 s(676) =< 583/8 s(651) =< 641/36 s(652) =< 699/28 s(677) =< 707/8 s(653) =< 4727/96 s(654) =< 18829/288 s(678) =< -1590*A-318*B+101919/2 s(679) =< -870*A-174*B+33147/2 s(680) =< -630*A-126*B+41293/2 s(650) =< -530*A-106*B+21807/2 s(681) =< -530*A-106*B+23055/2 s(682) =< -330*A-66*B+12573/2 s(642) =< -290*A-58*B+4234 s(683) =< -290*A-58*B+8091/2 s(654) =< -290*A-58*B+247561/32 s(684) =< -210*A-42*B+8001/2 s(685) =< -210*A-42*B+9317/2 s(655) =< -180*A-36*B+4045 s(659) =< -145*A-29*B+2861/2 s(770) =< -145*A-29*B+50671/24 s(640) =< -140*A-28*B+3045 s(687) =< -110*A-22*B+3069/2 s(656) =< -110*A-22*B+5045/2 s(657) =< -110*A-22*B+5409/2 s(638) =< -90*A-18*B+1314 s(639) =< -80*A-16*B+1740 s(658) =< -80*A-16*B+8429/4 s(688) =< -70*A-14*B+1953/2 s(653) =< -70*A-14*B+62123/32 s(690) =< -60*A-12*B+1143 s(691) =< -60*A-12*B+1988 s(692) =< -60*A-12*B+3131/2 s(693) =< -35*A-7*B+635/2 s(694) =< -35*A-7*B+1411/2 s(772) =< -35*A-7*B+12413/24 s(695) =< -30*A-6*B+604 s(696) =< -30*A-6*B+1143/2 s(697) =< -30*A-6*B+1923/2 s(764) =< -30*A-6*B+9133/12 s(698) =< -20*A-4*B+279 s(660) =< -20*A-4*B+435 s(661) =< -20*A-4*B+2915/7 s(662) =< -10*A-2*B+97 s(701) =< -10*A-2*B+146 s(702) =< -10*A-2*B+279/2 s(703) =< -10*A-2*B+435/2 s(774) =< -10*A-2*B+1739/12 s(779) =< -10*A-2*B+2129/12 s(704) =< -5*A-B+545/12 s(705) =< -5*A-B+1213/12 s(770) =< -1073/6*A-145/12*B+42551/24 s(706) =< -270/7*A-54/7*B+10287/14 s(772) =< -259/6*A-35/12*B+10453/24 s(707) =< -90/7*A-18/7*B+2511/14 s(774) =< -37/3*A-5/6*B+1459/12 s(708) =< -30/7*A-6/7*B+89/2 s(709) =< -10/7*A-2/7*B+25/2 s(711) =< -5/7*A-B/7+69/7 aux(266) =< 17/2 aux(267) =< 34/3 aux(268) =< 35/4 aux(269) =< 55/2 aux(270) =< 187/8 aux(271) =< 407/24 aux(272) =< -210*A-42*B+10601/2 aux(273) =< -110*A-22*B+5357/2 aux(274) =< -70*A-14*B+2473/2 aux(275) =< -20*A-4*B+448 aux(276) =< -20*A-4*B+727/2 aux(277) =< -10*A-2*B+224 aux(278) =< -10*A-2*B+461/2 aux(279) =< -90/7*A-18/7*B+9195/28 aux(280) =< -5/7*A-B/7+39/7 aux(281) =< -A/12+B/12+1/12 s(644) =< aux(266) s(763) =< aux(266) s(765) =< aux(267) s(645) =< aux(268) s(766) =< aux(268) s(767) =< aux(269) s(730) =< aux(270) s(649) =< aux(271) s(769) =< aux(271) s(730) =< aux(272) s(649) =< aux(273) s(769) =< aux(273) s(765) =< aux(275) s(644) =< aux(277) s(645) =< aux(278) s(766) =< aux(278) s(652) =< aux(279) s(775) =< aux(279) s(776) =< aux(280) s(744) =< aux(281) s(713) =< s(663) s(714) =< s(663) s(715) =< s(664) s(660) =< s(665) s(716) =< s(665) s(717) =< s(666) s(718) =< s(666) s(719) =< s(668) s(720) =< s(668) s(721) =< s(669) s(722) =< s(669) s(723) =< aux(267) s(724) =< aux(269) s(725) =< aux(269) s(726) =< aux(269) s(727) =< s(672) s(728) =< s(672) s(729) =< s(673) s(731) =< s(675) s(732) =< s(675) s(733) =< s(676) s(734) =< s(677) s(733) =< s(678) s(731) =< s(679) s(732) =< s(679) s(734) =< s(680) s(733) =< s(681) s(727) =< s(682) s(728) =< s(682) s(731) =< s(683) s(732) =< s(683) s(729) =< s(684) s(734) =< s(685) s(735) =< aux(272) s(727) =< s(687) s(728) =< s(687) s(729) =< s(688) s(735) =< aux(274) s(736) =< s(690) s(723) =< s(691) s(724) =< s(692) s(725) =< s(692) s(726) =< s(692) s(737) =< s(693) s(737) =< s(694) s(738) =< s(695) s(739) =< s(696) s(721) =< s(697) s(722) =< s(697) s(736) =< s(698) s(723) =< aux(275) s(724) =< aux(276) s(725) =< aux(276) s(726) =< aux(276) s(738) =< s(701) s(739) =< s(702) s(721) =< s(703) s(722) =< s(703) s(740) =< s(705) s(719) =< s(706) s(720) =< s(706) s(719) =< s(707) s(720) =< s(707) s(741) =< s(708) s(742) =< s(708) s(743) =< aux(280) s(743) =< s(711) s(730) =< aux(274) s(745) =< aux(274) s(740) =< s(704) s(745) =< s(704) s(641) =< s(655) s(746) =< s(655) s(646) =< s(657) s(746) =< s(657) s(747) =< s(659) s(713) =< s(659) s(748) =< s(640) s(641) =< s(640) s(747) =< s(733) s(748) =< s(733) s(748) =< s(747) s(646) =< s(747) s(721) =< s(723) s(748) =< s(723) s(721) =< s(660) s(748) =< s(660) s(724) =< s(748)*(3/8)+s(734) s(724) =< s(748)*(3/8)+s(730) s(724) =< s(721)*s(740) s(746) =< s(743)*s(745) s(749) =< s(693) s(749) =< s(704) s(750) =< s(667) s(751) =< s(667) s(715) =< s(736) s(717) =< s(736) s(737) =< s(735) s(752) =< s(735) s(716) =< s(738) s(752) =< s(738) s(750) =< s(739) s(751) =< s(739) s(719) =< s(638) s(753) =< s(638) s(751) =< s(716) s(753) =< s(716) s(751) =< s(731) s(727) =< s(731) s(750) =< s(723) s(751) =< s(723) s(750) =< s(715) s(751) =< s(715) s(717) =< s(751)*(3/8)+s(729) s(717) =< s(751)*(3/8)+s(737) s(717) =< s(750)*s(740) s(752) =< s(743)*s(749) s(754) =< s(667) s(718) =< s(736) s(754) =< s(739) s(732) =< s(642) s(755) =< s(642) s(754) =< s(716) s(755) =< s(716) s(754) =< s(732) s(728) =< s(732) s(754) =< s(723) s(754) =< s(715) s(718) =< s(754)*(3/8)+s(729) s(718) =< s(754)*(3/8)+s(737) s(718) =< s(750)*s(740) s(756) =< s(701) s(756) =< s(709) s(742) =< s(709) s(636) =< s(738) s(742) =< s(738) s(742) =< s(743)*s(756) s(757) =< s(637) s(643) =< s(637) s(757) =< s(738) s(647) =< s(661) s(758) =< s(661) s(648) =< s(656) s(758) =< s(656) s(759) =< s(639) s(725) =< s(639) s(650) =< s(733) s(759) =< s(733) s(759) =< s(650) s(648) =< s(650) s(722) =< s(723) s(759) =< s(723) s(722) =< s(662) s(759) =< s(662) s(725) =< s(759)*(3/8)+s(734) s(725) =< s(759)*(3/8)+s(730) s(725) =< s(722)*s(740) s(758) =< s(743)*s(745) s(760) =< s(704) s(760) =< aux(280) s(651) =< s(658) s(761) =< s(658) s(761) =< s(735) s(645) =< s(654) s(649) =< s(654) s(644) =< s(723) s(645) =< s(723) s(644) =< s(651) s(645) =< s(651) s(726) =< s(645)*(3/8)+s(653) s(726) =< s(645)*(3/8)+s(737) s(726) =< s(644)*s(740) s(761) =< s(743)*s(760) s(762) =< s(709) s(741) =< s(709) s(762) =< aux(280) s(741) =< s(743)*s(762) s(780) =< aux(274) s(764) =< s(779) s(780) =< s(779) s(767) =< aux(276) s(781) =< aux(276) s(763) =< aux(277) s(781) =< aux(277) s(766) =< s(770) s(769) =< s(770) s(763) =< s(765) s(766) =< s(765) s(763) =< s(774) s(766) =< s(774) s(767) =< s(766)*(3/8)+s(772) s(767) =< s(766)*(3/8)+s(730) s(767) =< s(763)*s(764) s(781) =< s(776)*s(780) with precondition: [35>=5*A+B,B>=2*A+7,B>=A] * Chain [29]: 1*s(782)+1*s(787)+1*s(789)+1*s(790)+1*s(791)+1*s(792)+1*s(793)+1*s(794)+1*s(795)+1*s(798)+1*s(807)+1*s(845)+1*s(846)+1*s(850)+1*s(851)+1*s(852)+1*s(853)+1*s(854)+1*s(855)+1*s(857)+1*s(858)+1*s(859)+1*s(860)+1*s(861)+2*s(870)+1*s(871)+1*s(872)+9*s(873)+1*s(875)+1*s(877)+2*s(878)+1*s(879)+2*s(880)+1*s(881)+1*s(882)+1*s(883)+1*s(884)+1*s(885)+1*s(886)+1*s(887)+1*s(888)+1*s(891)+1*s(892)+1*s(894)+1*s(897)+1*s(903)+0 Such that:s(809) =< 2 s(810) =< 7 s(811) =< 11 s(782) =< 12 s(783) =< 15 s(812) =< 21 s(784) =< 99 s(785) =< 132 s(786) =< 231 s(787) =< 307 s(788) =< 319 s(789) =< 7/4 s(813) =< 21/4 s(889) =< 25/2 s(814) =< 27/2 s(815) =< 33/4 s(818) =< 77/8 s(792) =< 137/8 s(819) =< 147/8 s(821) =< 203/8 s(793) =< 221/7 s(794) =< 383/24 s(796) =< 551/8 s(822) =< 583/8 s(797) =< 641/36 s(798) =< 699/28 s(823) =< 707/8 s(799) =< 4727/96 s(800) =< 18829/288 s(796) =< -318*A-53/2*B+18097/2 s(828) =< -318*A-53/2*B+19345/2 s(788) =< -174*A-29/2*B+3219 s(829) =< -174*A-29/2*B+6061/2 s(800) =< -174*A-29/2*B+215081/32 s(830) =< -126*A-21/2*B+7847/2 s(801) =< -108*A-9*B+3415 s(786) =< -84*A-7*B+2555 s(831) =< -66*A-11/2*B+2299/2 s(805) =< -66*A-11/2*B+4275/2 s(806) =< -66*A-11/2*B+4639/2 s(784) =< -54*A-9/2*B+999 s(785) =< -48*A-4*B+1460 s(802) =< -48*A-4*B+7309/4 s(833) =< -42*A-7/2*B+1463/2 s(799) =< -42*A-7/2*B+54283/32 s(824) =< -12*A-B+209 s(825) =< -12*A-B+365 s(803) =< -12*A-B+2425/7 s(837) =< -6*A-B/2+111 s(838) =< -6*A-B/2+209/2 s(839) =< -6*A-B/2+365/2 s(807) =< -A+B/2+15 s(842) =< -A+B/2+125/12 s(896) =< -377/72*A+377/144*B+23875/288 s(898) =< -91/24*A+91/48*B+5945/96 s(832) =< -54/7*A-9/14*B+1881/14 s(804) =< -29/12*A+29/24*B+277/8 s(896) =< -29/12*A+29/24*B+26311/288 s(895) =< -13/9*A+13/18*B+815/36 s(844) =< -7/4*A+7/8*B+145/8 s(898) =< -7/4*A+7/8*B+6533/96 s(841) =< -6/7*A-B/14+15/2 s(808) =< -2/3*A+B/3+9 s(895) =< -2/3*A+B/3+899/36 aux(282) =< 17/2 aux(283) =< 34/3 aux(284) =< 35/4 aux(285) =< 55/2 aux(286) =< 187/8 aux(287) =< 407/24 aux(288) =< -66*A-11/2*B+4587/2 aux(289) =< -42*A-7/2*B+1983/2 aux(290) =< -12*A-B+378 aux(291) =< -12*A-B+587/2 aux(292) =< -6*A-B/2+189 aux(293) =< -6*A-B/2+391/2 aux(294) =< -6*A-B/2+1709/12 aux(295) =< -54/7*A-9/14*B+7935/28 aux(296) =< -4/7*A-3/14*B+5 aux(297) =< -A/7+B/14+4/7 aux(298) =< -B/2+7 s(790) =< aux(282) s(888) =< aux(282) s(856) =< aux(283) s(791) =< aux(284) s(891) =< aux(284) s(892) =< aux(285) s(863) =< aux(286) s(795) =< aux(287) s(894) =< aux(287) s(795) =< aux(288) s(894) =< aux(288) s(863) =< aux(289) s(856) =< aux(290) s(790) =< aux(292) s(791) =< aux(293) s(891) =< aux(293) s(889) =< aux(294) s(798) =< aux(295) s(897) =< aux(295) s(868) =< aux(296) s(873) =< aux(297) s(868) =< aux(298) s(845) =< s(809) s(846) =< s(809) s(847) =< s(810) s(848) =< s(811) s(849) =< s(811) s(850) =< s(812) s(851) =< s(812) s(852) =< s(814) s(853) =< s(814) s(854) =< s(815) s(855) =< s(815) s(857) =< aux(285) s(858) =< aux(285) s(859) =< aux(285) s(860) =< s(818) s(861) =< s(818) s(862) =< s(819) s(864) =< s(821) s(865) =< s(821) s(866) =< s(822) s(867) =< s(823) s(848) =< s(825) s(808) =< s(825) s(857) =< aux(291) s(858) =< aux(291) s(859) =< aux(291) s(866) =< s(828) s(864) =< s(829) s(865) =< s(829) s(867) =< s(830) s(860) =< s(831) s(861) =< s(831) s(852) =< s(832) s(853) =< s(832) s(862) =< s(833) s(854) =< s(839) s(855) =< s(839) s(869) =< aux(294) s(870) =< s(841) s(871) =< s(841) s(872) =< s(841) s(869) =< s(842) s(807) =< aux(297) s(874) =< s(844) s(787) =< s(801) s(875) =< s(801) s(792) =< s(806) s(875) =< s(806) s(876) =< s(804) s(845) =< s(804) s(877) =< s(786) s(787) =< s(786) s(876) =< s(866) s(877) =< s(866) s(877) =< s(876) s(792) =< s(876) s(854) =< s(856) s(877) =< s(856) s(854) =< s(848) s(877) =< s(848) s(857) =< s(877)*(3/8)+s(867) s(857) =< s(877)*(3/8)+s(863) s(857) =< s(854)*s(869) s(875) =< s(873)*s(868) s(878) =< s(813) s(879) =< s(813) s(847) =< s(824) s(850) =< s(824) s(874) =< aux(289) s(880) =< aux(289) s(849) =< s(837) s(880) =< s(837) s(878) =< s(838) s(879) =< s(838) s(852) =< s(784) s(881) =< s(784) s(879) =< s(849) s(881) =< s(849) s(879) =< s(864) s(860) =< s(864) s(878) =< s(856) s(879) =< s(856) s(878) =< s(847) s(879) =< s(847) s(850) =< s(879)*(3/8)+s(862) s(850) =< s(879)*(3/8)+s(874) s(850) =< s(878)*s(869) s(880) =< s(873)*s(868) s(882) =< s(813) s(851) =< s(824) s(882) =< s(838) s(865) =< s(788) s(883) =< s(788) s(882) =< s(849) s(883) =< s(849) s(882) =< s(865) s(861) =< s(865) s(882) =< s(856) s(882) =< s(847) s(851) =< s(882)*(3/8)+s(862) s(851) =< s(882)*(3/8)+s(874) s(851) =< s(878)*s(869) s(782) =< s(837) s(872) =< s(837) s(872) =< s(807)*s(868) s(793) =< s(803) s(884) =< s(803) s(794) =< s(805) s(884) =< s(805) s(885) =< s(785) s(858) =< s(785) s(796) =< s(866) s(885) =< s(866) s(885) =< s(796) s(794) =< s(796) s(855) =< s(856) s(885) =< s(856) s(855) =< s(808) s(885) =< s(808) s(858) =< s(885)*(3/8)+s(867) s(858) =< s(885)*(3/8)+s(863) s(858) =< s(855)*s(869) s(884) =< s(873)*s(868) s(886) =< s(783) s(789) =< s(783) s(886) =< s(837) s(871) =< s(837) s(871) =< s(873)*s(868) s(797) =< s(802) s(887) =< s(802) s(887) =< aux(289) s(791) =< s(800) s(795) =< s(800) s(790) =< s(856) s(791) =< s(856) s(790) =< s(797) s(791) =< s(797) s(859) =< s(791)*(3/8)+s(799) s(859) =< s(791)*(3/8)+s(874) s(859) =< s(790)*s(869) s(887) =< s(873)*s(868) s(870) =< s(873)*s(868) s(892) =< aux(291) s(903) =< aux(291) s(888) =< aux(292) s(903) =< aux(292) s(891) =< s(896) s(894) =< s(896) s(888) =< s(856) s(891) =< s(856) s(888) =< s(895) s(891) =< s(895) s(892) =< s(891)*(3/8)+s(898) s(892) =< s(891)*(3/8)+s(863) s(892) =< s(888)*s(889) s(903) =< s(873)*s(868) with precondition: [B+7>=2*A,A>=B+1] #### Cost of chains of evalcomplexstart(A,B,C,D,E,F): * Chain [68]: 0 with precondition: [] * Chain [67]: 0 with precondition: [29>=A] * Chain [66]: 1*s(904)+0 Such that:s(904) =< A-B s(904) =< -B/2+3 with precondition: [29>=A,5>=B,A>=B+1] * Chain [65]: 1*s(905)+1*s(906)+0 Such that:s(905) =< A/6-B/6 s(905) =< A/6-B/12 s(906) =< -B/2+3 with precondition: [29>=A,5>=B,A>=B+2,2*A>=B+8] * Chain [64]: 1*s(907)+0 Such that:s(907) =< A/6-B/6 with precondition: [29>=A,B>=6,A>=B+1] * Chain [63]: 1*s(908)+0 Such that:s(908) =< -A/2+15 s(908) =< -A/12+B/12+1/12 with precondition: [29>=A,B>=A] * Chain [62]: 1*s(909)+0 Such that:s(909) =< -A/2+15 s(909) =< -A/12+B/12+1/12 with precondition: [29>=A,B>=A,B+5*A>=168] * Chain [61]: 1*s(913)+1*s(914)+1*s(916)+1*s(917)+1*s(918)+1*s(920)+1*s(937)+1*s(938)+1*s(940)+1*s(941)+0 Such that:s(922) =< A-B+1/2 s(910) =< -589/96*A-217/96*B+7843/32 s(911) =< -503/288*A-251/288*B+7457/96 s(923) =< -185/144*A+185/1008*B+40885/1008 s(910) =< -85/96*A-97/96*B+1715/32 s(912) =< -71/96*A-251/288*B+13961/288 s(913) =< -71/168*A-73/168*B+4367/168 s(914) =< -23/24*A-73/168*B+6977/168 s(915) =< -19/36*A-7/36*B+87/4 s(916) =< -13/12*A-13/12*B+263/4 s(917) =< -11/48*A-5/48*B+169/16 s(924) =< -7/12*A-5/84*B+607/28 s(918) =< -7/16*A-5/48*B+797/48 s(925) =< -7/24*A-B/6+105/8 s(926) =< -7/24*A+B/24+33/4 s(919) =< -5/32*A-97/96*B+3115/96 s(927) =< -3/8*A-B/2+111/8 s(928) =< -A/2-B/2+35/2 s(929) =< -A/3+10 s(930) =< -A/4+15/2 s(920) =< -A/4-13/12*B+451/12 s(921) =< -A/4-7/36*B+493/36 s(919) =< -209/192*B+3055/96 s(910) =< -93/64*B+4805/96 s(935) =< -B/2+65/12 aux(299) =< -B+17 aux(300) =< -925/2016*B+35705/1008 aux(301) =< -11/16*B+99/8 aux(302) =< -5/48*B+85/12 s(928) =< aux(299) s(923) =< aux(300) s(927) =< aux(301) s(926) =< aux(302) s(936) =< s(922) s(913) =< s(923) s(914) =< s(923) s(913) =< s(924) s(914) =< s(924) s(937) =< s(925) s(938) =< s(925) s(917) =< s(926) s(918) =< s(926) s(939) =< s(927) s(920) =< s(928) s(916) =< s(928) s(940) =< s(930) s(941) =< s(930) s(920) =< aux(299) s(916) =< aux(299) s(913) =< aux(300) s(914) =< aux(300) s(939) =< aux(301) s(917) =< aux(302) s(918) =< aux(302) s(936) =< s(935) s(917) =< s(912) s(937) =< s(912) s(940) =< s(929) s(917) =< s(929) s(940) =< s(921) s(917) =< s(921) s(920) =< s(917)*(3/8)+s(919) s(920) =< s(917)*(3/8)+s(939) s(920) =< s(940)*s(936) s(918) =< s(911) s(938) =< s(911) s(941) =< s(929) s(918) =< s(929) s(941) =< s(915) s(918) =< s(915) s(916) =< s(918)*(3/8)+s(910) s(916) =< s(918)*(3/8)+s(939) s(916) =< s(941)*s(936) with precondition: [29>=A,A>=B+1,2*A>=B+8] * Chain [60]: 1*s(942)+1*s(943)+0 Such that:s(942) =< -5/6*A-B/6+29 s(943) =< -A/12+B/12+1/12 s(942) =< A/6+B/30 with precondition: [27>=A,B>=16,173>=5*A+B,B>=A,B+5*A>=41] * Chain [59]: 1*s(949)+1*s(951)+1*s(953)+1*s(958)+1*s(959)+1*s(974)+1*s(978)+2*s(979)+1*s(980)+1*s(981)+1*s(984)+0 Such that:s(944) =< 25/2 s(945) =< 20237/96 s(966) =< -5*A-B+361/2 s(946) =< -5*A-B+705/4 s(947) =< -1885/6*A-377/6*B+12000 s(947) =< -1305/2*A-261/2*B+22962 s(948) =< -1255/8*A-251/8*B+45221/8 s(949) =< -1175/108*A-235/108*B+14687/36 s(950) =< -945/4*A-189/4*B+33281/4 s(951) =< -745/12*A-149/12*B+9863/4 s(949) =< -695/36*A-139/36*B+24515/36 s(945) =< -485/96*A-97/96*B+16745/96 s(950) =< -455/4*A-91/4*B+17405/4 s(952) =< -455/288*A-91/288*B+5945/96 s(953) =< -235/24*A-47/24*B+737/2 s(954) =< -175/24*A-35/24*B+1059/4 s(955) =< -145/24*A-29/24*B+461/2 s(956) =< -125/36*A-25/36*B+1565/12 s(952) =< -105/32*A-21/32*B+11237/96 s(953) =< -65/4*A-13/4*B+2311/4 s(957) =< -65/12*A-13/12*B+841/4 s(956) =< -65/12*A-13/12*B+2321/12 s(958) =< -55/12*A-11/12*B+1997/12 s(959) =< -50/9*A-10/9*B+1333/6 s(957) =< -45/4*A-9/4*B+1597/4 s(955) =< -35/4*A-7/4*B+1273/4 s(960) =< -35/6*A-7/6*B+1273/6 s(945) =< -35/36*A-7/36*B+4055/96 s(967) =< -35/48*A-7/48*B+145/8 s(959) =< -15/2*A-3/2*B+1711/6 s(968) =< -5/2*A-B/2+151/2 s(969) =< -5/2*A-B/2+199/2 s(970) =< -5/2*A-B/2+935/12 s(971) =< -5/6*A-B/6+43/2 s(972) =< -5/12*A-B/12+125/12 s(973) =< -A/12+B/12+1/12 aux(303) =< 55/2 aux(304) =< 161/12 aux(305) =< 187/2 aux(306) =< 187/8 aux(307) =< 1151/12 s(971) =< aux(303) s(972) =< aux(304) s(968) =< aux(305) s(967) =< aux(306) s(970) =< aux(307) s(953) =< aux(303) s(974) =< aux(303) s(944) =< aux(304) s(975) =< aux(304) s(976) =< aux(305) s(977) =< aux(306) s(944) =< aux(307) s(975) =< aux(307) s(977) =< s(967) s(976) =< s(968) s(978) =< s(969) s(958) =< s(969) s(944) =< s(970) s(975) =< s(970) s(953) =< s(971) s(974) =< s(971) s(944) =< s(972) s(975) =< s(972) s(979) =< s(973) s(944) =< s(966) s(980) =< s(966) s(980) =< s(946) s(981) =< s(946) s(978) =< s(954) s(981) =< s(954) s(977) =< s(976) s(953) =< s(976) s(978) =< s(948) s(981) =< s(948) s(980) =< s(960) s(978) =< s(960) s(980) =< s(955) s(978) =< s(955) s(953) =< s(978)*(3/8)+s(945) s(953) =< s(978)*(3/8)+s(977) s(953) =< s(980)*s(944) s(975) =< s(947) s(982) =< s(947) s(975) =< s(966) s(983) =< s(966) s(984) =< s(966) s(982) =< s(950) s(974) =< s(950) s(974) =< s(976) s(983) =< s(956) s(984) =< s(956) s(974) =< s(956) s(958) =< s(982) s(949) =< s(982) s(984) =< s(983) s(958) =< s(983) s(984) =< s(957) s(958) =< s(957) s(974) =< s(958)*(3/8)+s(952) s(974) =< s(958)*(3/8)+s(977) s(974) =< s(984)*s(975) with precondition: [27>=A,173>=5*A+B,B>=A,B+5*A+36>=0] * Chain [58]: 1*s(985)+0 Such that:s(985) =< -A/2+29/2 s(985) =< -A/12+B/12+1/12 with precondition: [27>=A,B>=A] * Chain [57]: 1*s(986)+1*s(989)+1*s(994)+1*s(999)+1*s(1000)+1*s(1002)+1*s(1004)+2*s(1010)+1*s(1012)+1*s(1013)+0 Such that:s(986) =< 2 s(1003) =< -7*A+179 s(987) =< -7*A+203 s(988) =< -4*A+116 s(989) =< -A+193/7 s(990) =< -A+317/12 s(991) =< A-B+1/2 s(996) =< -217/8*A+2897/4 s(1001) =< -77/16*A+495/4 s(992) =< -53/24*A+1441/24 s(993) =< -53/24*A+1537/24 s(994) =< -49/6*A-5/6*B+261 s(995) =< -35/24*A+1015/24 s(996) =< -31/8*A+803/8 s(997) =< -31/8*A+5/4*B+743/8 s(998) =< -25/24*A-B/6+841/24 s(999) =< -7/24*A-B/6+97/8 s(1000) =< -7/24*A-B/6+319/24 s(1001) =< -3/8*A-B/2+111/8 s(1002) =< -A/2-B/2+29 s(1003) =< -A/2-B/2+35/2 s(1004) =< -A/2-B/2+51/2 s(1005) =< -A/3+10 s(1006) =< -A/3+29/3 s(1007) =< -A/4+29/4 s(1003) =< -B+17 s(996) =< -31/8*B+193/2 s(1001) =< -11/16*B+99/8 s(990) =< -B/2+65/12 s(1008) =< s(991) s(1008) =< s(990) s(1002) =< s(1003) s(1004) =< s(1003) s(1009) =< s(997) s(989) =< s(987) s(1002) =< s(988) s(1000) =< s(995) s(999) =< s(995) s(1009) =< s(996) s(1010) =< s(1007) s(1011) =< s(998) s(986) =< s(998) s(1012) =< s(987) s(994) =< s(987) s(1011) =< s(993) s(1012) =< s(993) s(1012) =< s(1011) s(1000) =< s(1011) s(1010) =< s(1005) s(1012) =< s(1005) s(1010) =< s(1006) s(1012) =< s(1006) s(1002) =< s(1012)*(3/8)+s(1009) s(1002) =< s(1012)*(3/8)+s(1001) s(1002) =< s(1010)*s(1008) s(1013) =< s(988) s(1004) =< s(988) s(992) =< s(993) s(1013) =< s(993) s(1013) =< s(992) s(999) =< s(992) s(1013) =< s(1005) s(1013) =< s(1006) s(1004) =< s(1013)*(3/8)+s(1009) s(1004) =< s(1013)*(3/8)+s(1001) s(1004) =< s(1010)*s(1008) with precondition: [26>=A,B+162>=7*A,B+42>=2*A,A>=B+1,2*A>=B+8] * Chain [56]: 1*s(1014)+1*s(1025)+1*s(1029)+1*s(1030)+1*s(1038)+1*s(1051)+1*s(1052)+2*s(1053)+1*s(1055)+1*s(1057)+1*s(1059)+1*s(1060)+0 Such that:s(1014) =< 2 s(1015) =< 25/2 s(1016) =< 113/2 s(1017) =< 149/3 s(1018) =< 175/2 s(1019) =< 187/8 s(1020) =< 867/16 s(1021) =< 1061/12 s(1022) =< 5903/48 s(1023) =< -265*A-53*B+18497/2 s(1024) =< -35*A-7*B+2999/2 s(1025) =< -20*A-4*B+4546/7 s(1026) =< -5*A-B+167 s(1027) =< -5*A-B+349/2 s(1028) =< -5*A-B+361/2 s(1029) =< -5*A-B+2323/14 s(1030) =< -805/6*A-161/6*B+4669 s(1030) =< -485/4*A-97/4*B+17749/4 s(1031) =< -265/2*A-53/2*B+4611 s(1032) =< -265/2*A-53/2*B+8467/2 s(1033) =< -265/2*A-53/2*B+8851/2 s(1034) =< -205/2*A-41/2*B+3835 s(1035) =< -205/2*A-41/2*B+7103/2 s(1022) =< -155/48*A-31/48*B+4787/48 s(1020) =< -155/96*A-31/96*B+681/16 s(1036) =< -105/2*A-21/2*B+1827 s(1037) =< -55/6*A-11/6*B+319 s(1038) =< -45/2*A-9/2*B+784 s(1039) =< -35/2*A-7/2*B+609 s(1017) =< -35/24*A-7/24*B+235/6 s(1019) =< -35/48*A-7/48*B+145/8 s(1040) =< -31/8*A+741/8 s(1041) =< -5/2*A-B/2+87 s(1042) =< -5/2*A-B/2+89 s(1018) =< -5/2*A-B/2+139/2 s(1043) =< -5/2*A-B/2+167/2 s(1044) =< -5/2*A-B/2+171/2 s(1021) =< -5/2*A-B/2+845/12 s(1045) =< -5/2*A-B/2+1129/14 s(1016) =< -5/3*A-B/3+89/2 s(1046) =< -A/12+B/12+1/12 s(1040) =< 31/40*B+4821/40 s(1047) =< s(1015) s(1031) =< s(1023) s(1033) =< s(1023) s(1048) =< s(1024) s(1049) =< s(1024) s(1042) =< s(1028) s(1044) =< s(1028) s(1048) =< s(1022) s(1049) =< s(1022) s(1050) =< s(1020) s(1047) =< s(1017) s(1050) =< s(1019) s(1051) =< s(1018) s(1052) =< s(1018) s(1047) =< s(1021) s(1051) =< s(1016) s(1052) =< s(1016) s(1053) =< s(1046) s(1048) =< s(1040) s(1049) =< s(1040) s(1047) =< s(1027) s(1054) =< s(1027) s(1055) =< s(1027) s(1048) =< s(1034) s(1051) =< s(1034) s(1051) =< s(1037) s(1038) =< s(1037) s(1054) =< s(1041) s(1055) =< s(1041) s(1056) =< s(1036) s(1014) =< s(1036) s(1057) =< s(1039) s(1038) =< s(1039) s(1056) =< s(1031) s(1057) =< s(1031) s(1057) =< s(1056) s(1030) =< s(1056) s(1055) =< s(1042) s(1057) =< s(1042) s(1055) =< s(1054) s(1057) =< s(1054) s(1051) =< s(1057)*(3/8)+s(1048) s(1051) =< s(1057)*(3/8)+s(1050) s(1051) =< s(1055)*s(1047) s(1058) =< s(1027) s(1059) =< s(1027) s(1049) =< s(1035) s(1052) =< s(1035) s(1058) =< s(1043) s(1059) =< s(1043) s(1052) =< s(1045) s(1029) =< s(1045) s(1060) =< s(1026) s(1052) =< s(1026) s(1032) =< s(1033) s(1060) =< s(1033) s(1060) =< s(1032) s(1025) =< s(1032) s(1059) =< s(1044) s(1060) =< s(1044) s(1059) =< s(1058) s(1060) =< s(1058) s(1052) =< s(1060)*(3/8)+s(1049) s(1052) =< s(1060)*(3/8)+s(1050) s(1052) =< s(1059)*s(1047) with precondition: [24>=A,B+138>=7*A,155>=5*A+B,B>=A,B+5*A+36>=0] * Chain [55]: 0 with precondition: [A>=30] * Chain [54]: 1*s(1061)+2*s(1083)+2*s(1085)+2*s(1087)+2*s(1088)+2*s(1090)+1*s(1091)+1*s(1092)+0 Such that:s(1061) =< 2 s(1062) =< -A+18 s(1063) =< A-B+1/2 s(1064) =< -49/12*A-5/12*B+76 s(1065) =< -31/8*A+431/8 s(1066) =< -25/2*A-2*B+237 s(1067) =< -25/24*A-B/6+445/24 s(1068) =< -7/2*A-2*B+75 s(1069) =< -7/12*A-5/84*B+143/14 s(1070) =< -7/12*A+B/12+10 s(1071) =< -7/24*A-B/6+139/24 s(1072) =< -7/24*A+B/24+19/4 s(1073) =< -3/8*A-B/2+71/8 s(1074) =< -3/8*A-B/2+111/8 s(1075) =< -A/2+9 s(1076) =< -A/2-B/2+11 s(1077) =< -A/2-B/2+12 s(1078) =< -A/3+10 s(1079) =< -A/3+17/3 s(1080) =< -A/4+17/4 s(1065) =< -31/8*B+50 s(1073) =< -11/16*B+59/8 s(1081) =< -B/2+65/12 s(1082) =< s(1066) s(1083) =< s(1068) s(1084) =< s(1063) s(1085) =< s(1064) s(1085) =< s(1069) s(1084) =< s(1081) s(1086) =< s(1073) s(1087) =< s(1076) s(1087) =< s(1077) s(1082) =< s(1067) s(1083) =< s(1071) s(1088) =< s(1072) s(1089) =< s(1062) s(1086) =< s(1065) s(1090) =< s(1075) s(1089) =< s(1079) s(1090) =< s(1080) s(1091) =< s(1064) s(1088) =< s(1070) s(1091) =< s(1070) s(1088) =< s(1082) s(1083) =< s(1082) s(1090) =< s(1078) s(1088) =< s(1078) s(1090) =< s(1089) s(1088) =< s(1089) s(1087) =< s(1088)*(3/8)+s(1086) s(1087) =< s(1088)*(3/8)+s(1074) s(1087) =< s(1090)*s(1084) s(1092) =< s(1066) s(1092) =< s(1070) with precondition: [306>=19*B+11*A,7*B+150>=14*A,B+90>=7*A,A>=B+1,2*A>=B+8] * Chain [53]: 1*s(1093)+1*s(1109)+1*s(1110)+1*s(1125)+1*s(1126)+1*s(1127)+1*s(1128)+2*s(1131)+2*s(1133)+1*s(1134)+1*s(1136)+1*s(1137)+1*s(1138)+0 Such that:s(1093) =< 2 s(1094) =< 25/2 s(1095) =< 583/16 s(1096) =< 11149/112 s(1097) =< -220*A-44*B+8613/2 s(1098) =< -180*A-36*B+6857/2 s(1099) =< -15*A-3*B+270 s(1100) =< -5*A-B+100 s(1101) =< -5*A-B+965/6 s(1096) =< -2945/672*A-589/672*B+7615/112 s(1102) =< -905/12*A-181/12*B+1514 s(1103) =< -805/12*A-161/12*B+1266 s(1104) =< -805/12*A-161/12*B+2415/2 s(1105) =< -175/12*A-35/12*B+269 s(1106) =< -175/24*A-35/24*B+525/4 s(1107) =< -155/12*A-31/12*B+281 s(1095) =< -155/96*A-31/96*B+397/16 s(1108) =< -105/2*A-21/2*B+945 s(1109) =< -105/2*A-21/2*B+1003 s(1110) =< -55/12*A-11/12*B+87 s(1111) =< -55/12*A-11/12*B+165/2 s(1112) =< -55/56*A-11/56*B+6029/392 s(1113) =< -31/8*A+369/8 s(1114) =< -20/3*A-4/3*B+120 s(1115) =< -20/3*A-4/3*B+529/3 s(1116) =< -5/2*A-B/2+45 s(1117) =< -5/2*A-B/2+71 s(1118) =< -5/3*A-B/3+30 s(1119) =< -5/3*A-B/3+31 s(1120) =< -A/12+B/12+1/12 s(1113) =< 31/40*B+2961/40 s(1121) =< s(1094) s(1122) =< s(1099) s(1123) =< s(1099) s(1121) =< s(1101) s(1124) =< s(1096) s(1125) =< s(1104) s(1126) =< s(1104) s(1127) =< s(1106) s(1128) =< s(1106) s(1124) =< s(1095) s(1122) =< s(1108) s(1123) =< s(1108) s(1125) =< s(1111) s(1126) =< s(1111) s(1124) =< s(1112) s(1129) =< s(1114) s(1130) =< s(1115) s(1130) =< s(1117) s(1127) =< s(1118) s(1128) =< s(1118) s(1110) =< s(1119) s(1109) =< s(1119) s(1131) =< s(1120) s(1124) =< s(1113) s(1132) =< s(1100) s(1133) =< s(1100) s(1102) =< s(1103) s(1134) =< s(1103) s(1135) =< s(1105) s(1134) =< s(1105) s(1132) =< s(1107) s(1135) =< s(1107) s(1129) =< s(1116) s(1133) =< s(1116) s(1125) =< s(1102) s(1136) =< s(1102) s(1127) =< s(1135) s(1136) =< s(1135) s(1127) =< s(1122) s(1134) =< s(1122) s(1133) =< s(1130) s(1127) =< s(1130) s(1133) =< s(1129) s(1127) =< s(1129) s(1110) =< s(1127)*(3/8)+s(1124) s(1110) =< s(1127)*(3/8)+s(1132) s(1110) =< s(1133)*s(1121) s(1097) =< s(1098) s(1137) =< s(1098) s(1137) =< s(1105) s(1123) =< s(1097) s(1138) =< s(1097) s(1128) =< s(1135) s(1138) =< s(1135) s(1128) =< s(1123) s(1137) =< s(1123) s(1128) =< s(1130) s(1128) =< s(1129) s(1109) =< s(1128)*(3/8)+s(1124) s(1109) =< s(1128)*(3/8)+s(1132) s(1109) =< s(1133)*s(1121) with precondition: [7*B+52>=14*A,B+66>=7*A,78>=5*A+B,B>=A,B+5*A+36>=0] * Chain [52]: 1*s(1139)+1*s(1140)+0 Such that:s(1139) =< 12 s(1139) =< -5/12*A-B/12+8 s(1140) =< -A/12+B/12+1/12 with precondition: [90>=5*A+B,B>=A] * Chain [51]: 1*s(1141)+1*s(1142)+1*s(1143)+0 Such that:s(1141) =< 2 s(1142) =< -5/12*A-B/12+8 s(1143) =< -A/12+B/12+1/12 s(1141) =< 5/72*A+B/72+7/6 with precondition: [90>=5*A+B,B>=A,B+5*A+36>=0] * Chain [50]: 1*s(1147)+1*s(1153)+1*s(1155)+1*s(1161)+1*s(1164)+1*s(1165)+1*s(1169)+1*s(1230)+1*s(1231)+1*s(1233)+1*s(1234)+1*s(1235)+1*s(1237)+1*s(1238)+1*s(1239)+1*s(1240)+10*s(1241)+1*s(1242)+1*s(1243)+1*s(1246)+1*s(1247)+1*s(1248)+1*s(1249)+1*s(1250)+1*s(1251)+1*s(1253)+1*s(1254)+1*s(1255)+1*s(1256)+1*s(1257)+2*s(1269)+2*s(1270)+9*s(1271)+1*s(1273)+1*s(1275)+2*s(1277)+1*s(1278)+2*s(1279)+1*s(1280)+1*s(1281)+1*s(1282)+1*s(1284)+1*s(1285)+1*s(1286)+1*s(1288)+1*s(1291)+0 Such that:s(1144) =< 2 s(1145) =< 7 s(1146) =< 11 s(1147) =< 12 s(1148) =< 15 s(1149) =< 21 s(1150) =< 99 s(1151) =< 132 s(1152) =< 231 s(1153) =< 307 s(1154) =< 319 s(1155) =< 7/4 s(1214) =< 17/2 s(1156) =< 21/4 s(1157) =< 25/2 s(1158) =< 27/2 s(1159) =< 33/4 s(1215) =< 34/3 s(1216) =< 35/4 s(1217) =< 55/2 s(1160) =< 77/8 s(1161) =< 137/8 s(1162) =< 147/8 s(1218) =< 187/8 s(1163) =< 203/8 s(1164) =< 221/7 s(1165) =< 383/24 s(1219) =< 407/24 s(1166) =< 551/8 s(1167) =< 583/8 s(1168) =< 641/36 s(1169) =< 699/28 s(1170) =< 707/8 s(1171) =< 4727/96 s(1172) =< 18829/288 s(1173) =< -1590*A-318*B+101919/2 s(1174) =< -870*A-174*B+33147/2 s(1175) =< -630*A-126*B+41293/2 s(1166) =< -530*A-106*B+21807/2 s(1176) =< -530*A-106*B+23055/2 s(1177) =< -330*A-66*B+12573/2 s(1154) =< -290*A-58*B+4234 s(1178) =< -290*A-58*B+8091/2 s(1172) =< -290*A-58*B+247561/32 s(1179) =< -210*A-42*B+8001/2 s(1180) =< -210*A-42*B+9317/2 s(1220) =< -210*A-42*B+10601/2 s(1181) =< -180*A-36*B+4045 s(1182) =< -145*A-29*B+2861/2 s(1183) =< -145*A-29*B+50671/24 s(1152) =< -140*A-28*B+3045 s(1184) =< -110*A-22*B+3069/2 s(1185) =< -110*A-22*B+5045/2 s(1221) =< -110*A-22*B+5357/2 s(1186) =< -110*A-22*B+5409/2 s(1150) =< -90*A-18*B+1314 s(1151) =< -80*A-16*B+1740 s(1187) =< -80*A-16*B+8429/4 s(1188) =< -70*A-14*B+1953/2 s(1222) =< -70*A-14*B+2473/2 s(1171) =< -70*A-14*B+62123/32 s(1189) =< -60*A-12*B+1143 s(1190) =< -60*A-12*B+1988 s(1191) =< -60*A-12*B+3131/2 s(1192) =< -35*A-7*B+635/2 s(1193) =< -35*A-7*B+1411/2 s(1194) =< -35*A-7*B+12413/24 s(1195) =< -30*A-6*B+604 s(1196) =< -30*A-6*B+1143/2 s(1197) =< -30*A-6*B+1923/2 s(1157) =< -30*A-6*B+9133/12 s(1198) =< -20*A-4*B+279 s(1199) =< -20*A-4*B+435 s(1223) =< -20*A-4*B+448 s(1224) =< -20*A-4*B+727/2 s(1200) =< -20*A-4*B+2915/7 s(1201) =< -10*A-2*B+97 s(1202) =< -10*A-2*B+146 s(1225) =< -10*A-2*B+224 s(1203) =< -10*A-2*B+279/2 s(1204) =< -10*A-2*B+435/2 s(1226) =< -10*A-2*B+461/2 s(1205) =< -10*A-2*B+1739/12 s(1206) =< -10*A-2*B+2129/12 s(1207) =< -5*A-B+545/12 s(1208) =< -5*A-B+1213/12 s(1183) =< -1073/6*A-145/12*B+42551/24 s(1209) =< -270/7*A-54/7*B+10287/14 s(1194) =< -259/6*A-35/12*B+10453/24 s(1210) =< -90/7*A-18/7*B+2511/14 s(1227) =< -90/7*A-18/7*B+9195/28 s(1205) =< -37/3*A-5/6*B+1459/12 s(1211) =< -30/7*A-6/7*B+89/2 s(1212) =< -10/7*A-2/7*B+25/2 s(1228) =< -5/7*A-B/7+39/7 s(1213) =< -5/7*A-B/7+69/7 s(1229) =< -A/12+B/12+1/12 s(1230) =< s(1214) s(1231) =< s(1214) s(1232) =< s(1215) s(1233) =< s(1216) s(1234) =< s(1216) s(1235) =< s(1217) s(1236) =< s(1218) s(1237) =< s(1219) s(1238) =< s(1219) s(1236) =< s(1220) s(1237) =< s(1221) s(1238) =< s(1221) s(1232) =< s(1223) s(1230) =< s(1225) s(1233) =< s(1226) s(1234) =< s(1226) s(1169) =< s(1227) s(1239) =< s(1227) s(1240) =< s(1228) s(1241) =< s(1229) s(1242) =< s(1144) s(1243) =< s(1144) s(1244) =< s(1145) s(1199) =< s(1146) s(1245) =< s(1146) s(1246) =< s(1149) s(1247) =< s(1149) s(1248) =< s(1158) s(1249) =< s(1158) s(1250) =< s(1159) s(1251) =< s(1159) s(1252) =< s(1215) s(1253) =< s(1217) s(1254) =< s(1217) s(1255) =< s(1217) s(1256) =< s(1160) s(1257) =< s(1160) s(1258) =< s(1162) s(1259) =< s(1163) s(1260) =< s(1163) s(1261) =< s(1167) s(1262) =< s(1170) s(1261) =< s(1173) s(1259) =< s(1174) s(1260) =< s(1174) s(1262) =< s(1175) s(1261) =< s(1176) s(1256) =< s(1177) s(1257) =< s(1177) s(1259) =< s(1178) s(1260) =< s(1178) s(1258) =< s(1179) s(1262) =< s(1180) s(1263) =< s(1220) s(1256) =< s(1184) s(1257) =< s(1184) s(1258) =< s(1188) s(1263) =< s(1222) s(1264) =< s(1189) s(1252) =< s(1190) s(1253) =< s(1191) s(1254) =< s(1191) s(1255) =< s(1191) s(1265) =< s(1192) s(1265) =< s(1193) s(1266) =< s(1195) s(1267) =< s(1196) s(1250) =< s(1197) s(1251) =< s(1197) s(1264) =< s(1198) s(1252) =< s(1223) s(1253) =< s(1224) s(1254) =< s(1224) s(1255) =< s(1224) s(1266) =< s(1202) s(1267) =< s(1203) s(1250) =< s(1204) s(1251) =< s(1204) s(1268) =< s(1208) s(1248) =< s(1209) s(1249) =< s(1209) s(1248) =< s(1210) s(1249) =< s(1210) s(1269) =< s(1211) s(1270) =< s(1211) s(1271) =< s(1228) s(1271) =< s(1213) s(1236) =< s(1222) s(1272) =< s(1222) s(1268) =< s(1207) s(1272) =< s(1207) s(1153) =< s(1181) s(1273) =< s(1181) s(1161) =< s(1186) s(1273) =< s(1186) s(1274) =< s(1182) s(1242) =< s(1182) s(1275) =< s(1152) s(1153) =< s(1152) s(1274) =< s(1261) s(1275) =< s(1261) s(1275) =< s(1274) s(1161) =< s(1274) s(1250) =< s(1252) s(1275) =< s(1252) s(1250) =< s(1199) s(1275) =< s(1199) s(1253) =< s(1275)*(3/8)+s(1262) s(1253) =< s(1275)*(3/8)+s(1236) s(1253) =< s(1250)*s(1268) s(1273) =< s(1271)*s(1272) s(1276) =< s(1192) s(1276) =< s(1207) s(1277) =< s(1156) s(1278) =< s(1156) s(1244) =< s(1264) s(1246) =< s(1264) s(1265) =< s(1263) s(1279) =< s(1263) s(1245) =< s(1266) s(1279) =< s(1266) s(1277) =< s(1267) s(1278) =< s(1267) s(1248) =< s(1150) s(1280) =< s(1150) s(1278) =< s(1245) s(1280) =< s(1245) s(1278) =< s(1259) s(1256) =< s(1259) s(1277) =< s(1252) s(1278) =< s(1252) s(1277) =< s(1244) s(1278) =< s(1244) s(1246) =< s(1278)*(3/8)+s(1258) s(1246) =< s(1278)*(3/8)+s(1265) s(1246) =< s(1277)*s(1268) s(1279) =< s(1271)*s(1276) s(1281) =< s(1156) s(1247) =< s(1264) s(1281) =< s(1267) s(1260) =< s(1154) s(1282) =< s(1154) s(1281) =< s(1245) s(1282) =< s(1245) s(1281) =< s(1260) s(1257) =< s(1260) s(1281) =< s(1252) s(1281) =< s(1244) s(1247) =< s(1281)*(3/8)+s(1258) s(1247) =< s(1281)*(3/8)+s(1265) s(1247) =< s(1277)*s(1268) s(1283) =< s(1202) s(1283) =< s(1212) s(1270) =< s(1212) s(1147) =< s(1266) s(1270) =< s(1266) s(1270) =< s(1271)*s(1283) s(1284) =< s(1148) s(1155) =< s(1148) s(1284) =< s(1266) s(1164) =< s(1200) s(1285) =< s(1200) s(1165) =< s(1185) s(1285) =< s(1185) s(1286) =< s(1151) s(1254) =< s(1151) s(1166) =< s(1261) s(1286) =< s(1261) s(1286) =< s(1166) s(1165) =< s(1166) s(1251) =< s(1252) s(1286) =< s(1252) s(1251) =< s(1201) s(1286) =< s(1201) s(1254) =< s(1286)*(3/8)+s(1262) s(1254) =< s(1286)*(3/8)+s(1236) s(1254) =< s(1251)*s(1268) s(1285) =< s(1271)*s(1272) s(1287) =< s(1207) s(1287) =< s(1228) s(1168) =< s(1187) s(1288) =< s(1187) s(1288) =< s(1263) s(1233) =< s(1172) s(1237) =< s(1172) s(1230) =< s(1252) s(1233) =< s(1252) s(1230) =< s(1168) s(1233) =< s(1168) s(1255) =< s(1233)*(3/8)+s(1171) s(1255) =< s(1233)*(3/8)+s(1265) s(1255) =< s(1230)*s(1268) s(1288) =< s(1271)*s(1287) s(1289) =< s(1212) s(1269) =< s(1212) s(1289) =< s(1228) s(1269) =< s(1271)*s(1289) s(1290) =< s(1222) s(1157) =< s(1206) s(1290) =< s(1206) s(1235) =< s(1224) s(1291) =< s(1224) s(1231) =< s(1225) s(1291) =< s(1225) s(1234) =< s(1183) s(1238) =< s(1183) s(1231) =< s(1232) s(1234) =< s(1232) s(1231) =< s(1205) s(1234) =< s(1205) s(1235) =< s(1234)*(3/8)+s(1194) s(1235) =< s(1234)*(3/8)+s(1236) s(1235) =< s(1231)*s(1157) s(1291) =< s(1240)*s(1290) with precondition: [35>=5*A+B,B>=2*A+7,B>=A] * Chain [49]: 1*s(1295)+1*s(1301)+1*s(1303)+1*s(1309)+1*s(1312)+1*s(1313)+1*s(1317)+1*s(1336)+1*s(1363)+1*s(1364)+1*s(1366)+1*s(1367)+1*s(1368)+1*s(1370)+1*s(1371)+1*s(1372)+9*s(1374)+1*s(1375)+1*s(1376)+1*s(1380)+1*s(1381)+1*s(1382)+1*s(1383)+1*s(1384)+1*s(1385)+1*s(1386)+1*s(1387)+1*s(1388)+1*s(1389)+1*s(1390)+2*s(1397)+1*s(1398)+1*s(1399)+1*s(1401)+1*s(1403)+2*s(1404)+1*s(1405)+2*s(1406)+1*s(1407)+1*s(1408)+1*s(1409)+1*s(1410)+1*s(1411)+1*s(1412)+1*s(1413)+1*s(1414)+0 Such that:s(1292) =< 2 s(1293) =< 7 s(1294) =< 11 s(1295) =< 12 s(1296) =< 15 s(1297) =< 21 s(1298) =< 99 s(1299) =< 132 s(1300) =< 231 s(1301) =< 307 s(1302) =< 319 s(1303) =< 7/4 s(1346) =< 17/2 s(1304) =< 21/4 s(1305) =< 25/2 s(1306) =< 27/2 s(1307) =< 33/4 s(1347) =< 34/3 s(1348) =< 35/4 s(1349) =< 55/2 s(1308) =< 77/8 s(1309) =< 137/8 s(1310) =< 147/8 s(1350) =< 187/8 s(1311) =< 203/8 s(1312) =< 221/7 s(1313) =< 383/24 s(1351) =< 407/24 s(1314) =< 551/8 s(1315) =< 583/8 s(1316) =< 641/36 s(1317) =< 699/28 s(1318) =< 707/8 s(1319) =< 4727/96 s(1320) =< 18829/288 s(1314) =< -318*A-53/2*B+18097/2 s(1321) =< -318*A-53/2*B+19345/2 s(1302) =< -174*A-29/2*B+3219 s(1322) =< -174*A-29/2*B+6061/2 s(1320) =< -174*A-29/2*B+215081/32 s(1323) =< -126*A-21/2*B+7847/2 s(1324) =< -108*A-9*B+3415 s(1300) =< -84*A-7*B+2555 s(1325) =< -66*A-11/2*B+2299/2 s(1326) =< -66*A-11/2*B+4275/2 s(1352) =< -66*A-11/2*B+4587/2 s(1327) =< -66*A-11/2*B+4639/2 s(1298) =< -54*A-9/2*B+999 s(1299) =< -48*A-4*B+1460 s(1328) =< -48*A-4*B+7309/4 s(1329) =< -42*A-7/2*B+1463/2 s(1353) =< -42*A-7/2*B+1983/2 s(1319) =< -42*A-7/2*B+54283/32 s(1330) =< -12*A-B+209 s(1331) =< -12*A-B+365 s(1354) =< -12*A-B+378 s(1355) =< -12*A-B+587/2 s(1332) =< -12*A-B+2425/7 s(1333) =< -6*A-B/2+111 s(1356) =< -6*A-B/2+189 s(1334) =< -6*A-B/2+209/2 s(1335) =< -6*A-B/2+365/2 s(1357) =< -6*A-B/2+391/2 s(1358) =< -6*A-B/2+1709/12 s(1336) =< -A+B/2+15 s(1337) =< -A+B/2+125/12 s(1338) =< -377/72*A+377/144*B+23875/288 s(1339) =< -91/24*A+91/48*B+5945/96 s(1340) =< -54/7*A-9/14*B+1881/14 s(1359) =< -54/7*A-9/14*B+7935/28 s(1341) =< -29/12*A+29/24*B+277/8 s(1338) =< -29/12*A+29/24*B+26311/288 s(1342) =< -13/9*A+13/18*B+815/36 s(1343) =< -7/4*A+7/8*B+145/8 s(1339) =< -7/4*A+7/8*B+6533/96 s(1344) =< -6/7*A-B/14+15/2 s(1360) =< -4/7*A-3/14*B+5 s(1345) =< -2/3*A+B/3+9 s(1342) =< -2/3*A+B/3+899/36 s(1361) =< -A/7+B/14+4/7 s(1362) =< -B/2+7 s(1363) =< s(1346) s(1364) =< s(1346) s(1365) =< s(1347) s(1366) =< s(1348) s(1367) =< s(1348) s(1368) =< s(1349) s(1369) =< s(1350) s(1370) =< s(1351) s(1371) =< s(1351) s(1370) =< s(1352) s(1371) =< s(1352) s(1369) =< s(1353) s(1365) =< s(1354) s(1363) =< s(1356) s(1366) =< s(1357) s(1367) =< s(1357) s(1305) =< s(1358) s(1317) =< s(1359) s(1372) =< s(1359) s(1373) =< s(1360) s(1374) =< s(1361) s(1373) =< s(1362) s(1375) =< s(1292) s(1376) =< s(1292) s(1377) =< s(1293) s(1378) =< s(1294) s(1379) =< s(1294) s(1380) =< s(1297) s(1381) =< s(1297) s(1382) =< s(1306) s(1383) =< s(1306) s(1384) =< s(1307) s(1385) =< s(1307) s(1386) =< s(1349) s(1387) =< s(1349) s(1388) =< s(1349) s(1389) =< s(1308) s(1390) =< s(1308) s(1391) =< s(1310) s(1392) =< s(1311) s(1393) =< s(1311) s(1394) =< s(1315) s(1395) =< s(1318) s(1378) =< s(1331) s(1345) =< s(1331) s(1386) =< s(1355) s(1387) =< s(1355) s(1388) =< s(1355) s(1394) =< s(1321) s(1392) =< s(1322) s(1393) =< s(1322) s(1395) =< s(1323) s(1389) =< s(1325) s(1390) =< s(1325) s(1382) =< s(1340) s(1383) =< s(1340) s(1391) =< s(1329) s(1384) =< s(1335) s(1385) =< s(1335) s(1396) =< s(1358) s(1397) =< s(1344) s(1398) =< s(1344) s(1399) =< s(1344) s(1396) =< s(1337) s(1336) =< s(1361) s(1400) =< s(1343) s(1301) =< s(1324) s(1401) =< s(1324) s(1309) =< s(1327) s(1401) =< s(1327) s(1402) =< s(1341) s(1375) =< s(1341) s(1403) =< s(1300) s(1301) =< s(1300) s(1402) =< s(1394) s(1403) =< s(1394) s(1403) =< s(1402) s(1309) =< s(1402) s(1384) =< s(1365) s(1403) =< s(1365) s(1384) =< s(1378) s(1403) =< s(1378) s(1386) =< s(1403)*(3/8)+s(1395) s(1386) =< s(1403)*(3/8)+s(1369) s(1386) =< s(1384)*s(1396) s(1401) =< s(1374)*s(1373) s(1404) =< s(1304) s(1405) =< s(1304) s(1377) =< s(1330) s(1380) =< s(1330) s(1400) =< s(1353) s(1406) =< s(1353) s(1379) =< s(1333) s(1406) =< s(1333) s(1404) =< s(1334) s(1405) =< s(1334) s(1382) =< s(1298) s(1407) =< s(1298) s(1405) =< s(1379) s(1407) =< s(1379) s(1405) =< s(1392) s(1389) =< s(1392) s(1404) =< s(1365) s(1405) =< s(1365) s(1404) =< s(1377) s(1405) =< s(1377) s(1380) =< s(1405)*(3/8)+s(1391) s(1380) =< s(1405)*(3/8)+s(1400) s(1380) =< s(1404)*s(1396) s(1406) =< s(1374)*s(1373) s(1408) =< s(1304) s(1381) =< s(1330) s(1408) =< s(1334) s(1393) =< s(1302) s(1409) =< s(1302) s(1408) =< s(1379) s(1409) =< s(1379) s(1408) =< s(1393) s(1390) =< s(1393) s(1408) =< s(1365) s(1408) =< s(1377) s(1381) =< s(1408)*(3/8)+s(1391) s(1381) =< s(1408)*(3/8)+s(1400) s(1381) =< s(1404)*s(1396) s(1295) =< s(1333) s(1399) =< s(1333) s(1399) =< s(1336)*s(1373) s(1312) =< s(1332) s(1410) =< s(1332) s(1313) =< s(1326) s(1410) =< s(1326) s(1411) =< s(1299) s(1387) =< s(1299) s(1314) =< s(1394) s(1411) =< s(1394) s(1411) =< s(1314) s(1313) =< s(1314) s(1385) =< s(1365) s(1411) =< s(1365) s(1385) =< s(1345) s(1411) =< s(1345) s(1387) =< s(1411)*(3/8)+s(1395) s(1387) =< s(1411)*(3/8)+s(1369) s(1387) =< s(1385)*s(1396) s(1410) =< s(1374)*s(1373) s(1412) =< s(1296) s(1303) =< s(1296) s(1412) =< s(1333) s(1398) =< s(1333) s(1398) =< s(1374)*s(1373) s(1316) =< s(1328) s(1413) =< s(1328) s(1413) =< s(1353) s(1366) =< s(1320) s(1370) =< s(1320) s(1363) =< s(1365) s(1366) =< s(1365) s(1363) =< s(1316) s(1366) =< s(1316) s(1388) =< s(1366)*(3/8)+s(1319) s(1388) =< s(1366)*(3/8)+s(1400) s(1388) =< s(1363)*s(1396) s(1413) =< s(1374)*s(1373) s(1397) =< s(1374)*s(1373) s(1368) =< s(1355) s(1414) =< s(1355) s(1364) =< s(1356) s(1414) =< s(1356) s(1367) =< s(1338) s(1371) =< s(1338) s(1364) =< s(1365) s(1367) =< s(1365) s(1364) =< s(1342) s(1367) =< s(1342) s(1368) =< s(1367)*(3/8)+s(1339) s(1368) =< s(1367)*(3/8)+s(1369) s(1368) =< s(1364)*s(1305) s(1414) =< s(1374)*s(1373) with precondition: [B+7>=2*A,A>=B+1] Closed-form bounds of evalcomplexstart(A,B,C,D,E,F): ------------------------------------- * Chain [68] with precondition: [] - Upper bound: 0 - Complexity: constant * Chain [67] with precondition: [29>=A] - Upper bound: 0 - Complexity: constant * Chain [66] with precondition: [29>=A,5>=B,A>=B+1] - Upper bound: A-B - Complexity: n * Chain [65] with precondition: [29>=A,5>=B,A>=B+2,2*A>=B+8] - Upper bound: A/6-2/3*B+3 - Complexity: n * Chain [64] with precondition: [29>=A,B>=6,A>=B+1] - Upper bound: A/6-B/6 - Complexity: n * Chain [63] with precondition: [29>=A,B>=A] - Upper bound: -A/2+15 - Complexity: n * Chain [62] with precondition: [29>=A,B>=A,B+5*A>=168] - Upper bound: -A/2+15 - Complexity: n * Chain [61] with precondition: [29>=A,A>=B+1,2*A>=B+8] - Upper bound: -125/28*A-601/168*B+20099/84 - Complexity: n * Chain [60] with precondition: [27>=A,B>=16,173>=5*A+B,B>=A,B+5*A>=41] - Upper bound: -11/12*A-B/12+349/12 - Complexity: n * Chain [59] with precondition: [27>=A,173>=5*A+B,B>=A,B+5*A+36>=0] - Upper bound: -10883/108*A-2155/108*B+35588/9 - Complexity: n * Chain [58] with precondition: [27>=A,B>=A] - Upper bound: -A/2+29/2 - Complexity: n * Chain [57] with precondition: [26>=A,B+162>=7*A,B+42>=2*A,A>=B+1,2*A>=B+8] - Upper bound: -89/4*A-13/6*B+59135/84 - Complexity: n * Chain [56] with precondition: [24>=A,B+138>=7*A,155>=5*A+B,B>=A,B+5*A+36>=0] - Upper bound: -643/3*A-128/3*B+158981/21 - Complexity: n * Chain [55] with precondition: [A>=30] - Upper bound: 0 - Complexity: constant * Chain [54] with precondition: [306>=19*B+11*A,7*B+150>=14*A,B+90>=7*A,A>=B+1,2*A>=B+8] - Upper bound: -103/3*A-49/6*B+1333/2 - Complexity: n * Chain [53] with precondition: [7*B+52>=14*A,B+66>=7*A,78>=5*A+B,B>=A,B+5*A+36>=0] - Upper bound: -1517/2*A-303/2*B+43454/3 - Complexity: n * Chain [52] with precondition: [90>=5*A+B,B>=A] - Upper bound: -A/12+B/12+145/12 - Complexity: n * Chain [51] with precondition: [90>=5*A+B,B>=A,B+5*A+36>=0] - Upper bound: -A/2+121/12 - Complexity: n * Chain [50] with precondition: [35>=5*A+B,B>=2*A+7,B>=A] - Upper bound: -31835/42*A-6325/42*B+1647295/84 - Complexity: n * Chain [49] with precondition: [B+7>=2*A,A>=B+1] - Upper bound: -1942/7*A-305/14*B+38853/4 - Complexity: n ### Maximum cost of evalcomplexstart(A,B,C,D,E,F): max([max([max([nat(-A/2+15),nat(-A/2+29/2),nat(A-B),nat(-7/24*A+B/24+19/4)*2+2+nat(-49/12*A-5/12*B+76)*3+nat(-25/2*A-2*B+237)+nat(-7/2*A-2*B+75)*2+nat(-A/2-B/2+11)*2+nat(-A/2+9)*2,nat(-23/24*A-73/168*B+6977/168)+nat(-71/168*A-73/168*B+4367/168)+nat(-13/12*A-13/12*B+263/4)+nat(-11/48*A-5/48*B+169/16)+nat(-7/16*A-5/48*B+797/48)+nat(-7/24*A-B/6+105/8)*2+nat(-A/4-13/12*B+451/12)+nat(-A/4+15/2)*2,nat(-A+193/7)+2+nat(-7*A+203)+nat(-4*A+116)+nat(-49/6*A-5/6*B+261)+nat(-7/24*A-B/6+97/8)+nat(-7/24*A-B/6+319/24)+nat(-A/2-B/2+29)+nat(-A/2-B/2+51/2)+nat(-A/4+29/4)*2,42407/28+nat(-A+B/2+15)+nat(-A/7+B/14+4/7)*9+nat(-108*A-9*B+3415)+nat(-48*A-4*B+7309/4)+nat(-42*A-7/2*B+1983/2)*2+nat(-12*A-B+587/2)+nat(-12*A-B+2425/7)+nat(-54/7*A-9/14*B+7935/28)+nat(-6/7*A-B/14+15/2)*4]),nat(A/6-B/6)+nat(-B/2+3)]),nat(-A/12+B/12+1/12)+max([max([12,nat(-5/6*A-B/6+29),nat(-5/12*A-B/12+8)+2]),nat(-A/12+B/12+1/12)+2+max([nat(-20*A-4*B+4546/7)+175+nat(-5*A-B+167)+nat(-5*A-B+349/2)*2+nat(-5*A-B+2323/14)+nat(-805/6*A-161/6*B+4669)+nat(-45/2*A-9/2*B+784)+nat(-35/2*A-7/2*B+609),nat(-5*A-B+361/2)*2+53+nat(-5*A-B+705/4)+nat(-1175/108*A-235/108*B+14687/36)+nat(-745/12*A-149/12*B+9863/4)+nat(-55/12*A-11/12*B+1997/12)+nat(-50/9*A-10/9*B+1333/6)+nat(-5/2*A-B/2+199/2),nat(-180*A-36*B+6857/2)+nat(-220*A-44*B+8613/2)+nat(-5*A-B+100)*2+nat(-905/12*A-181/12*B+1514)+nat(-805/12*A-161/12*B+1266)+nat(-805/12*A-161/12*B+2415/2)*2+nat(-175/24*A-35/24*B+525/4)*2+nat(-105/2*A-21/2*B+1003)+nat(-55/12*A-11/12*B+87),42351/28+nat(-A/12+B/12+1/12)*8+nat(-210*A-42*B+10601/2)*2+nat(-180*A-36*B+4045)+nat(-80*A-16*B+8429/4)+nat(-20*A-4*B+727/2)+nat(-20*A-4*B+2915/7)+nat(-90/7*A-18/7*B+9195/28)+nat(-30/7*A-6/7*B+89/2)*4+nat(-5/7*A-B/7+39/7)*10])])]) Asymptotic class: n * Total analysis performed in 4801 ms.