2.82/2.88 WORST_CASE(?,O(1)) 2.82/2.88 2.82/2.88 Preprocessing Cost Relations 2.82/2.88 ===================================== 2.82/2.88 2.82/2.88 #### Computed strongly connected components 2.82/2.88 0. recursive : [f422/15] 2.82/2.88 1. non_recursive : [exit_location/1] 2.82/2.88 2. recursive : [f441/7] 2.82/2.88 3. recursive : [f437/9,f441_loop_cont/10] 2.82/2.88 4. recursive : [f461/17] 2.82/2.88 5. recursive : [f455/23,f461_loop_cont/24] 2.82/2.88 6. recursive : [f485/13] 2.82/2.88 7. recursive : [f501/22] 2.82/2.88 8. recursive : [f526/14] 2.82/2.88 9. recursive : [f546/5] 2.82/2.88 10. recursive : [f543/13,f546_loop_cont/14] 2.82/2.88 11. recursive : [f540/13,f543_loop_cont/14] 2.82/2.88 12. non_recursive : [f584/43] 2.82/2.88 13. non_recursive : [f540_loop_cont/44] 2.82/2.88 14. non_recursive : [f526_loop_cont/44] 2.82/2.88 15. non_recursive : [f501_loop_cont/44] 2.82/2.88 16. non_recursive : [f485_loop_cont/44] 2.82/2.88 17. non_recursive : [f455_loop_cont/44] 2.82/2.88 18. non_recursive : [f437_loop_cont/44] 2.82/2.88 19. non_recursive : [f422_loop_cont/44] 2.82/2.88 20. non_recursive : [f0/43] 2.82/2.88 2.82/2.88 #### Obtained direct recursion through partial evaluation 2.82/2.88 0. SCC is partially evaluated into f422/15 2.82/2.88 1. SCC is completely evaluated into other SCCs 2.82/2.88 2. SCC is partially evaluated into f441/7 2.82/2.88 3. SCC is partially evaluated into f437/9 2.82/2.88 4. SCC is partially evaluated into f461/17 2.82/2.88 5. SCC is partially evaluated into f455/23 2.82/2.88 6. SCC is partially evaluated into f485/13 2.82/2.88 7. SCC is partially evaluated into f501/22 2.82/2.88 8. SCC is partially evaluated into f526/14 2.82/2.88 9. SCC is partially evaluated into f546/5 2.82/2.88 10. SCC is partially evaluated into f543/13 2.82/2.88 11. SCC is partially evaluated into f540/13 2.82/2.88 12. SCC is completely evaluated into other SCCs 2.82/2.88 13. SCC is partially evaluated into f540_loop_cont/44 2.82/2.88 14. SCC is partially evaluated into f526_loop_cont/44 2.82/2.88 15. SCC is partially evaluated into f501_loop_cont/44 2.82/2.88 16. SCC is partially evaluated into f485_loop_cont/44 2.82/2.88 17. SCC is partially evaluated into f455_loop_cont/44 2.82/2.88 18. SCC is partially evaluated into f437_loop_cont/44 2.82/2.88 19. SCC is partially evaluated into f422_loop_cont/44 2.82/2.88 20. SCC is partially evaluated into f0/43 2.82/2.88 2.82/2.88 Control-Flow Refinement of Cost Relations 2.82/2.88 ===================================== 2.82/2.88 2.82/2.88 ### Specialization of cost equations f422/15 2.82/2.88 * CE 3 is refined into CE [53] 2.82/2.88 * CE 4 is refined into CE [54] 2.82/2.88 * CE 2 is refined into CE [55] 2.82/2.88 2.82/2.88 2.82/2.88 ### Cost equations --> "Loop" of f422/15 2.82/2.88 * CEs [55] --> Loop 53 2.82/2.88 * CEs [53] --> Loop 54 2.82/2.88 * CEs [54] --> Loop 55 2.82/2.88 2.82/2.88 ### Ranking functions of CR f422(A,C,D,E,F,O1,P1,W1,X1,Y1,Z1,A2,B2,C2,D2) 2.82/2.88 * RF of phase [53]: [-E+150] 2.82/2.88 2.82/2.88 #### Partial ranking functions of CR f422(A,C,D,E,F,O1,P1,W1,X1,Y1,Z1,A2,B2,C2,D2) 2.82/2.88 * Partial RF of phase [53]: 2.82/2.88 - RF of loop [53:1]: 2.82/2.88 -E+150 2.82/2.88 2.82/2.88 2.82/2.88 ### Specialization of cost equations f441/7 2.82/2.88 * CE 14 is refined into CE [56] 2.82/2.88 * CE 15 is refined into CE [57] 2.82/2.88 * CE 13 is refined into CE [58] 2.82/2.88 2.82/2.88 2.82/2.88 ### Cost equations --> "Loop" of f441/7 2.82/2.88 * CEs [58] --> Loop 56 2.82/2.88 * CEs [56] --> Loop 57 2.82/2.88 * CEs [57] --> Loop 58 2.82/2.88 2.82/2.88 ### Ranking functions of CR f441(F,G,H,W1,X1,Y1,Z1) 2.82/2.88 * RF of phase [56]: [-H+50] 2.82/2.88 2.82/2.88 #### Partial ranking functions of CR f441(F,G,H,W1,X1,Y1,Z1) 2.82/2.88 * Partial RF of phase [56]: 2.82/2.88 - RF of loop [56:1]: 2.82/2.88 -H+50 2.82/2.88 2.82/2.88 2.82/2.88 ### Specialization of cost equations f437/9 2.82/2.88 * CE 9 is refined into CE [59] 2.82/2.88 * CE 7 is refined into CE [60,61] 2.82/2.88 * CE 10 is refined into CE [62] 2.82/2.88 * CE 8 is refined into CE [63] 2.82/2.88 2.82/2.88 2.82/2.88 ### Cost equations --> "Loop" of f437/9 2.82/2.88 * CEs [63] --> Loop 59 2.82/2.88 * CEs [59] --> Loop 60 2.82/2.88 * CEs [60,61] --> Loop 61 2.82/2.88 * CEs [62] --> Loop 62 2.82/2.88 2.82/2.88 ### Ranking functions of CR f437(F,G,H,I,W1,X1,Y1,Z1,A2) 2.82/2.88 * RF of phase [59]: [-F+50] 2.82/2.88 2.82/2.88 #### Partial ranking functions of CR f437(F,G,H,I,W1,X1,Y1,Z1,A2) 2.82/2.88 * Partial RF of phase [59]: 2.82/2.88 - RF of loop [59:1]: 2.82/2.88 -F+50 2.82/2.88 2.82/2.88 2.82/2.88 ### Specialization of cost equations f461/17 2.82/2.88 * CE 23 is refined into CE [64] 2.82/2.88 * CE 24 is refined into CE [65] 2.82/2.88 * CE 22 is refined into CE [66] 2.82/2.88 2.82/2.88 2.82/2.88 ### Cost equations --> "Loop" of f461/17 2.82/2.88 * CEs [66] --> Loop 63 2.82/2.88 * CEs [64] --> Loop 64 2.82/2.88 * CEs [65] --> Loop 65 2.82/2.88 2.82/2.88 ### Ranking functions of CR f461(I,J,K,L,M,N,O,P,W1,X1,Y1,Z1,A2,B2,C2,D2,E2) 2.82/2.88 * RF of phase [63]: [-M/2+16] 2.82/2.88 2.82/2.88 #### Partial ranking functions of CR f461(I,J,K,L,M,N,O,P,W1,X1,Y1,Z1,A2,B2,C2,D2,E2) 2.82/2.88 * Partial RF of phase [63]: 2.82/2.88 - RF of loop [63:1]: 2.82/2.88 -M/2+16 2.82/2.88 2.82/2.88 2.82/2.88 ### Specialization of cost equations f455/23 2.82/2.88 * CE 18 is refined into CE [67] 2.82/2.88 * CE 16 is refined into CE [68,69] 2.82/2.89 * CE 19 is refined into CE [70] 2.82/2.89 * CE 17 is refined into CE [71] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f455/23 2.82/2.89 * CEs [71] --> Loop 66 2.82/2.89 * CEs [67] --> Loop 67 2.82/2.89 * CEs [68,69] --> Loop 68 2.82/2.89 * CEs [70] --> Loop 69 2.82/2.89 2.82/2.89 ### Ranking functions of CR f455(I,J,K,L,M,N,O,P,Q,R,N1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2) 2.82/2.89 * RF of phase [66]: [-I/2+50] 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f455(I,J,K,L,M,N,O,P,Q,R,N1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2) 2.82/2.89 * Partial RF of phase [66]: 2.82/2.89 - RF of loop [66:1]: 2.82/2.89 -I/2+50 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f485/13 2.82/2.89 * CE 26 is refined into CE [72] 2.82/2.89 * CE 27 is refined into CE [73] 2.82/2.89 * CE 25 is refined into CE [74] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f485/13 2.82/2.89 * CEs [74] --> Loop 70 2.82/2.89 * CEs [72] --> Loop 71 2.82/2.89 * CEs [73] --> Loop 72 2.82/2.89 2.82/2.89 ### Ranking functions of CR f485(B,Q,R,S,T,M1,W1,X1,Y1,Z1,A2,B2,C2) 2.82/2.89 * RF of phase [70]: [Q+1] 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f485(B,Q,R,S,T,M1,W1,X1,Y1,Z1,A2,B2,C2) 2.82/2.89 * Partial RF of phase [70]: 2.82/2.89 - RF of loop [70:1]: 2.82/2.89 Q+1 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f501/22 2.82/2.89 * CE 31 is refined into CE [75] 2.82/2.89 * CE 32 is refined into CE [76] 2.82/2.89 * CE 30 is refined into CE [77] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f501/22 2.82/2.89 * CEs [77] --> Loop 73 2.82/2.89 * CEs [75] --> Loop 74 2.82/2.89 * CEs [76] --> Loop 75 2.82/2.89 2.82/2.89 ### Ranking functions of CR f501(S,T,U,V,W,E1,G1,H1,I1,J1,K1,L1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2) 2.82/2.89 * RF of phase [73]: [-S+50] 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f501(S,T,U,V,W,E1,G1,H1,I1,J1,K1,L1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2) 2.82/2.89 * Partial RF of phase [73]: 2.82/2.89 - RF of loop [73:1]: 2.82/2.89 -S+50 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f526/14 2.82/2.89 * CE 36 is refined into CE [78] 2.82/2.89 * CE 37 is refined into CE [79] 2.82/2.89 * CE 35 is refined into CE [80] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f526/14 2.82/2.89 * CEs [80] --> Loop 76 2.82/2.89 * CEs [78] --> Loop 77 2.82/2.89 * CEs [79] --> Loop 78 2.82/2.89 2.82/2.89 ### Ranking functions of CR f526(V,W,X,A1,B1,C1,D1,F1,W1,X1,Y1,Z1,A2,B2) 2.82/2.89 * RF of phase [76]: [V-W+1] 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f526(V,W,X,A1,B1,C1,D1,F1,W1,X1,Y1,Z1,A2,B2) 2.82/2.89 * Partial RF of phase [76]: 2.82/2.89 - RF of loop [76:1]: 2.82/2.89 V-W+1 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f546/5 2.82/2.89 * CE 52 is refined into CE [81] 2.82/2.89 * CE 51 is refined into CE [82] 2.82/2.89 * CE 50 is refined into CE [83] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f546/5 2.82/2.89 * CEs [83] --> Loop 79 2.82/2.89 * CEs [81] --> Loop 80 2.82/2.89 * CEs [82] --> Loop 81 2.82/2.89 2.82/2.89 ### Ranking functions of CR f546(Y,Z,W1,X1,Y1) 2.82/2.89 * RF of phase [79]: [-Z+4] 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f546(Y,Z,W1,X1,Y1) 2.82/2.89 * Partial RF of phase [79]: 2.82/2.89 - RF of loop [79:1]: 2.82/2.89 -Z+4 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f543/13 2.82/2.89 * CE 48 is refined into CE [84] 2.82/2.89 * CE 46 is refined into CE [85,86] 2.82/2.89 * CE 49 is refined into CE [87] 2.82/2.89 * CE 47 is refined into CE [88] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f543/13 2.82/2.89 * CEs [88] --> Loop 82 2.82/2.89 * CEs [84] --> Loop 83 2.82/2.89 * CEs [85,86] --> Loop 84 2.82/2.89 * CEs [87] --> Loop 85 2.82/2.89 2.82/2.89 ### Ranking functions of CR f543(X,Y,Z,A1,B1,C1,W1,X1,Y1,Z1,A2,B2,C2) 2.82/2.89 * RF of phase [82]: [-Y+8] 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f543(X,Y,Z,A1,B1,C1,W1,X1,Y1,Z1,A2,B2,C2) 2.82/2.89 * Partial RF of phase [82]: 2.82/2.89 - RF of loop [82:1]: 2.82/2.89 -Y+8 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f540/13 2.82/2.89 * CE 42 is refined into CE [89] 2.82/2.89 * CE 40 is refined into CE [90,91,92] 2.82/2.89 * CE 43 is refined into CE [93] 2.82/2.89 * CE 41 is refined into CE [94] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f540/13 2.82/2.89 * CEs [94] --> Loop 86 2.82/2.89 * CEs [89] --> Loop 87 2.82/2.89 * CEs [90,91,92] --> Loop 88 2.82/2.89 * CEs [93] --> Loop 89 2.82/2.89 2.82/2.89 ### Ranking functions of CR f540(X,Y,Z,A1,B1,C1,W1,X1,Y1,Z1,A2,B2,C2) 2.82/2.89 * RF of phase [86]: [-X/7+9/7] 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f540(X,Y,Z,A1,B1,C1,W1,X1,Y1,Z1,A2,B2,C2) 2.82/2.89 * Partial RF of phase [86]: 2.82/2.89 - RF of loop [86:1]: 2.82/2.89 -X/7+9/7 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f540_loop_cont/44 2.82/2.89 * CE 44 is refined into CE [95] 2.82/2.89 * CE 45 is refined into CE [96] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f540_loop_cont/44 2.82/2.89 * CEs [95] --> Loop 90 2.82/2.89 * CEs [96] --> Loop 91 2.82/2.89 2.82/2.89 ### Ranking functions of CR f540_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f540_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f526_loop_cont/44 2.82/2.89 * CE 39 is refined into CE [97,98,99,100,101] 2.82/2.89 * CE 38 is refined into CE [102] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f526_loop_cont/44 2.82/2.89 * CEs [101] --> Loop 92 2.82/2.89 * CEs [99] --> Loop 93 2.82/2.89 * CEs [98,100] --> Loop 94 2.82/2.89 * CEs [97] --> Loop 95 2.82/2.89 * CEs [102] --> Loop 96 2.82/2.89 2.82/2.89 ### Ranking functions of CR f526_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f526_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f501_loop_cont/44 2.82/2.89 * CE 34 is refined into CE [103,104,105,106,107,108,109,110] 2.82/2.89 * CE 33 is refined into CE [111] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f501_loop_cont/44 2.82/2.89 * CEs [104,105,106,107] --> Loop 97 2.82/2.89 * CEs [108,109,110] --> Loop 98 2.82/2.89 * CEs [103] --> Loop 99 2.82/2.89 * CEs [111] --> Loop 100 2.82/2.89 2.82/2.89 ### Ranking functions of CR f501_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f501_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f485_loop_cont/44 2.82/2.89 * CE 29 is refined into CE [112,113,114,115,116,117] 2.82/2.89 * CE 28 is refined into CE [118] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f485_loop_cont/44 2.82/2.89 * CEs [116,117] --> Loop 101 2.82/2.89 * CEs [113,114,115] --> Loop 102 2.82/2.89 * CEs [112] --> Loop 103 2.82/2.89 * CEs [118] --> Loop 104 2.82/2.89 2.82/2.89 ### Ranking functions of CR f485_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f485_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f455_loop_cont/44 2.82/2.89 * CE 21 is refined into CE [119,120,121,122,123,124] 2.82/2.89 * CE 20 is refined into CE [125] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f455_loop_cont/44 2.82/2.89 * CEs [120,121,122] --> Loop 105 2.82/2.89 * CEs [123,124] --> Loop 106 2.82/2.89 * CEs [119] --> Loop 107 2.82/2.89 * CEs [125] --> Loop 108 2.82/2.89 2.82/2.89 ### Ranking functions of CR f455_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f455_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f437_loop_cont/44 2.82/2.89 * CE 12 is refined into CE [126,127,128,129,130,131,132] 2.82/2.89 * CE 11 is refined into CE [133] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f437_loop_cont/44 2.82/2.89 * CEs [129,130] --> Loop 109 2.82/2.89 * CEs [128] --> Loop 110 2.82/2.89 * CEs [127,131,132] --> Loop 111 2.82/2.89 * CEs [126] --> Loop 112 2.82/2.89 * CEs [133] --> Loop 113 2.82/2.89 2.82/2.89 ### Ranking functions of CR f437_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f437_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f422_loop_cont/44 2.82/2.89 * CE 6 is refined into CE [134,135,136,137,138,139,140,141,142] 2.82/2.89 * CE 5 is refined into CE [143] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f422_loop_cont/44 2.82/2.89 * CEs [140,141,142] --> Loop 114 2.82/2.89 * CEs [136] --> Loop 115 2.82/2.89 * CEs [135,137,138,139] --> Loop 116 2.82/2.89 * CEs [134] --> Loop 117 2.82/2.89 * CEs [143] --> Loop 118 2.82/2.89 2.82/2.89 ### Ranking functions of CR f422_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f422_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1) 2.82/2.89 2.82/2.89 2.82/2.89 ### Specialization of cost equations f0/43 2.82/2.89 * CE 1 is refined into CE [144,145,146,147,148] 2.82/2.89 2.82/2.89 2.82/2.89 ### Cost equations --> "Loop" of f0/43 2.82/2.89 * CEs [144,145,146,147,148] --> Loop 119 2.82/2.89 2.82/2.89 ### Ranking functions of CR f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,W1) 2.82/2.89 2.82/2.89 #### Partial ranking functions of CR f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,W1) 2.82/2.89 2.82/2.89 2.82/2.89 Computing Bounds 2.82/2.89 ===================================== 2.82/2.89 2.82/2.89 #### Cost of chains of f422(A,C,D,E,F,O1,P1,W1,X1,Y1,Z1,A2,B2,C2,D2): 2.82/2.89 * Chain [[53],55]: 1*it(53)+0 2.82/2.89 Such that:it(53) =< -E+150 2.82/2.89 2.82/2.89 with precondition: [A=3,W1=3,149>=E,E>=0] 2.82/2.89 2.82/2.89 * Chain [[53],54]: 1*it(53)+0 2.82/2.89 Such that:it(53) =< -E+150 2.82/2.89 2.82/2.89 with precondition: [A=3,W1=6,A2=150,B2=0,X1=Y1,X1=C2,X1=D2,149>=E,E>=0] 2.82/2.89 2.82/2.89 * Chain [55]: 0 2.82/2.89 with precondition: [A=3,W1=3,E>=0] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f441(F,G,H,W1,X1,Y1,Z1): 2.82/2.89 * Chain [[56],58]: 1*it(56)+0 2.82/2.89 Such that:it(56) =< -H+50 2.82/2.89 2.82/2.89 with precondition: [W1=3,49>=F,49>=H,H>=0] 2.82/2.89 2.82/2.89 * Chain [[56],57]: 1*it(56)+0 2.82/2.89 Such that:it(56) =< -H+50 2.82/2.89 2.82/2.89 with precondition: [W1=6,Z1=50,F+1=X1,49>=F,49>=H,H>=0] 2.82/2.89 2.82/2.89 * Chain [58]: 0 2.82/2.89 with precondition: [W1=3,49>=F,H>=0] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f437(F,G,H,I,W1,X1,Y1,Z1,A2): 2.82/2.89 * Chain [[59],62]: 1*it(59)+1*s(3)+0 2.82/2.89 Such that:aux(4) =< -F+50 2.82/2.89 it(59) =< aux(4) 2.82/2.89 s(3) =< aux(4)*50 2.82/2.89 2.82/2.89 with precondition: [W1=3,49>=F] 2.82/2.89 2.82/2.89 * Chain [[59],61]: 1*it(59)+1*s(3)+50 2.82/2.89 Such that:aux(3) =< -F+49 2.82/2.89 aux(2) =< -F+50 2.82/2.89 aux(1) =< aux(2) 2.82/2.89 it(59) =< aux(2) 2.82/2.89 aux(1) =< aux(3) 2.82/2.89 it(59) =< aux(3) 2.82/2.89 s(3) =< aux(1)*50 2.82/2.89 2.82/2.89 with precondition: [W1=3,48>=F] 2.82/2.89 2.82/2.89 * Chain [[59],60]: 1*it(59)+1*s(3)+0 2.82/2.89 Such that:aux(5) =< -F+50 2.82/2.89 it(59) =< aux(5) 2.82/2.89 s(3) =< aux(5)*50 2.82/2.89 2.82/2.89 with precondition: [W1=5,X1=50,Z1=50,A2=0,49>=F] 2.82/2.89 2.82/2.89 * Chain [62]: 0 2.82/2.89 with precondition: [W1=3] 2.82/2.89 2.82/2.89 * Chain [61]: 50 2.82/2.89 with precondition: [W1=3,49>=F] 2.82/2.89 2.82/2.89 * Chain [60]: 0 2.82/2.89 with precondition: [W1=5,A2=0,Y1=G,Z1=H,F=X1,F>=50] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f461(I,J,K,L,M,N,O,P,W1,X1,Y1,Z1,A2,B2,C2,D2,E2): 2.82/2.89 * Chain [[63],65]: 1*it(63)+0 2.82/2.89 Such that:it(63) =< -M/2+16 2.82/2.89 2.82/2.89 with precondition: [W1=3,99>=I,31>=M,M>=0] 2.82/2.89 2.82/2.89 * Chain [[63],64]: 1*it(63)+0 2.82/2.89 Such that:it(63) =< -M/2+16 2.82/2.89 2.82/2.89 with precondition: [W1=5,I+2=X1,99>=I,33>=B2,M>=0,B2>=32,B2>=M+2] 2.82/2.89 2.82/2.89 * Chain [65]: 0 2.82/2.89 with precondition: [W1=3,99>=I,M>=0] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f455(I,J,K,L,M,N,O,P,Q,R,N1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2,G2,H2): 2.82/2.89 * Chain [[66],69]: 1*it(66)+1*s(10)+0 2.82/2.89 Such that:aux(7) =< -I/2+50 2.82/2.89 aux(8) =< -I/2+101/2 2.82/2.89 aux(6) =< aux(7) 2.82/2.89 it(66) =< aux(7) 2.82/2.89 aux(6) =< aux(8) 2.82/2.89 it(66) =< aux(8) 2.82/2.89 s(10) =< aux(6)*16 2.82/2.89 2.82/2.89 with precondition: [W1=3,99>=I] 2.82/2.89 2.82/2.89 * Chain [[66],68]: 1*it(66)+1*s(10)+16 2.82/2.89 Such that:aux(7) =< -I/2+50 2.82/2.89 aux(8) =< -I/2+99/2 2.82/2.89 aux(6) =< aux(7) 2.82/2.89 it(66) =< aux(7) 2.82/2.89 aux(6) =< aux(8) 2.82/2.89 it(66) =< aux(8) 2.82/2.89 s(10) =< aux(6)*16 2.82/2.89 2.82/2.89 with precondition: [W1=3,97>=I] 2.82/2.89 2.82/2.89 * Chain [[66],67]: 1*it(66)+1*s(10)+0 2.82/2.89 Such that:aux(7) =< -I/2+50 2.82/2.89 aux(8) =< -I/2+X1/2 2.82/2.89 aux(6) =< aux(7) 2.82/2.89 it(66) =< aux(7) 2.82/2.89 aux(6) =< aux(8) 2.82/2.89 it(66) =< aux(8) 2.82/2.89 s(10) =< aux(6)*16 2.82/2.89 2.82/2.89 with precondition: [W1=10,F2=98,H2=100,101>=X1,33>=B2,X1>=100,B2>=32,X1>=I+2] 2.82/2.89 2.82/2.89 * Chain [69]: 0 2.82/2.89 with precondition: [W1=3] 2.82/2.89 2.82/2.89 * Chain [68]: 16 2.82/2.89 with precondition: [W1=3,99>=I] 2.82/2.89 2.82/2.89 * Chain [67]: 0 2.82/2.89 with precondition: [W1=10,F2=98,H2=100,Y1=J,Z1=K,A2=L,B2=M,C2=N,D2=O,E2=P,I=X1,I>=100] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f485(B,Q,R,S,T,M1,W1,X1,Y1,Z1,A2,B2,C2): 2.82/2.89 * Chain [[70],72]: 1*it(70)+0 2.82/2.89 Such that:it(70) =< Q+1 2.82/2.89 2.82/2.89 with precondition: [B=43690,W1=3,Q>=0] 2.82/2.89 2.82/2.89 * Chain [[70],71]: 1*it(70)+0 2.82/2.89 Such that:it(70) =< Q+1 2.82/2.89 2.82/2.89 with precondition: [B=43690,W1=9,Y1+1=0,A2=0,X1=Z1,X1=C2,Q>=0] 2.82/2.89 2.82/2.89 * Chain [72]: 0 2.82/2.89 with precondition: [B=43690,W1=3] 2.82/2.89 2.82/2.89 * Chain [71]: 0 2.82/2.89 with precondition: [B=43690,W1=9,A2=0,R=X1,Q=Y1,R=Z1,R=C2,0>=Q+1] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f501(S,T,U,V,W,E1,G1,H1,I1,J1,K1,L1,W1,X1,Y1,Z1,A2,B2,C2,D2,E2,F2): 2.82/2.89 * Chain [[73],75]: 1*it(73)+0 2.82/2.89 Such that:it(73) =< -S+50 2.82/2.89 2.82/2.89 with precondition: [W1=3,49>=S] 2.82/2.89 2.82/2.89 * Chain [[73],74]: 1*it(73)+0 2.82/2.89 Such that:it(73) =< -S+50 2.82/2.89 2.82/2.89 with precondition: [W1=8,X1=50,A2=17,B2=2,C2=1,E2=1,49>=S] 2.82/2.89 2.82/2.89 * Chain [75]: 0 2.82/2.89 with precondition: [W1=3] 2.82/2.89 2.82/2.89 * Chain [74]: 0 2.82/2.89 with precondition: [W1=8,A2=17,B2=2,C2=1,E2=1,Y1=T,Z1=U,S=X1,S>=50] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f526(V,W,X,A1,B1,C1,D1,F1,W1,X1,Y1,Z1,A2,B2): 2.82/2.89 * Chain [[76],78]: 1*it(76)+0 2.82/2.89 Such that:it(76) =< V-W+1 2.82/2.89 2.82/2.89 with precondition: [W1=3,V>=W] 2.82/2.89 2.82/2.89 * Chain [[76],77]: 1*it(76)+0 2.82/2.89 Such that:it(76) =< V-W+1 2.82/2.89 2.82/2.89 with precondition: [W1=4,Y1=1,Z1=0,A2=13,B2=8,V+1=X1,V>=W] 2.82/2.89 2.82/2.89 * Chain [78]: 0 2.82/2.89 with precondition: [W1=3] 2.82/2.89 2.82/2.89 * Chain [77]: 0 2.82/2.89 with precondition: [W1=4,Y1=1,Z1=0,A2=13,B2=8,W=X1,W>=V+1] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f546(Y,Z,W1,X1,Y1): 2.82/2.89 * Chain [[79],81]: 1*it(79)+0 2.82/2.89 Such that:it(79) =< -Z+4 2.82/2.89 2.82/2.89 with precondition: [W1=2,Y1=4,Y+1=X1,7>=Y,3>=Z,Z>=0] 2.82/2.89 2.82/2.89 * Chain [[79],80]: 1*it(79)+0 2.82/2.89 Such that:it(79) =< -Z+4 2.82/2.89 2.82/2.89 with precondition: [W1=3,7>=Y,3>=Z,Z>=0] 2.82/2.89 2.82/2.89 * Chain [80]: 0 2.82/2.89 with precondition: [W1=3,7>=Y,Z>=0] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f543(X,Y,Z,A1,B1,C1,W1,X1,Y1,Z1,A2,B2,C2): 2.82/2.89 * Chain [[82],85]: 1*it(82)+1*s(19)+0 2.82/2.89 Such that:aux(12) =< -Y+8 2.82/2.89 it(82) =< aux(12) 2.82/2.89 s(19) =< aux(12)*4 2.82/2.89 2.82/2.89 with precondition: [W1=3,8>=X,7>=Y,Y>=0] 2.82/2.89 2.82/2.89 * Chain [[82],84]: 1*it(82)+1*s(19)+4 2.82/2.89 Such that:aux(11) =< -Y+7 2.82/2.89 aux(10) =< -Y+8 2.82/2.89 aux(9) =< aux(10) 2.82/2.89 it(82) =< aux(10) 2.82/2.89 aux(9) =< aux(11) 2.82/2.89 it(82) =< aux(11) 2.82/2.89 s(19) =< aux(9)*4 2.82/2.89 2.82/2.89 with precondition: [W1=3,8>=X,6>=Y,Y>=0] 2.82/2.89 2.82/2.89 * Chain [[82],83]: 1*it(82)+1*s(19)+0 2.82/2.89 Such that:aux(13) =< -Y+8 2.82/2.89 it(82) =< aux(13) 2.82/2.89 s(19) =< aux(13)*4 2.82/2.89 2.82/2.89 with precondition: [W1=4,Y1=8,Z1=4,X+7=X1,A1+3=A2,B1+3=B2,C1=C2+7,8>=X,7>=Y] 2.82/2.89 2.82/2.89 * Chain [85]: 0 2.82/2.89 with precondition: [W1=3,8>=X,Y>=0] 2.82/2.89 2.82/2.89 * Chain [84]: 4 2.82/2.89 with precondition: [W1=3,8>=X,7>=Y,Y>=0] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f540(X,Y,Z,A1,B1,C1,W1,X1,Y1,Z1,A2,B2,C2): 2.82/2.89 * Chain [[86],89]: 1*it(86)+1*s(30)+1*s(31)+0 2.82/2.89 Such that:aux(15) =< -X/7+9/7 2.82/2.89 aux(16) =< -X/7+15/7 2.82/2.89 aux(14) =< aux(15) 2.82/2.89 it(86) =< aux(15) 2.82/2.89 aux(14) =< aux(16) 2.82/2.89 it(86) =< aux(16) 2.82/2.89 s(32) =< aux(14)*8 2.82/2.89 s(30) =< s(32) 2.82/2.89 s(31) =< s(32)*4 2.82/2.89 2.82/2.89 with precondition: [W1=3,8>=X] 2.82/2.89 2.82/2.89 * Chain [[86],88]: 1*it(86)+1*s(30)+1*s(31)+84 2.82/2.89 Such that:aux(16) =< -X/7+8/7 2.82/2.89 aux(15) =< -X/7+9/7 2.82/2.89 aux(14) =< aux(15) 2.82/2.89 it(86) =< aux(15) 2.82/2.89 aux(14) =< aux(16) 2.82/2.89 it(86) =< aux(16) 2.82/2.89 s(32) =< aux(14)*8 2.82/2.89 s(30) =< s(32) 2.82/2.89 s(31) =< s(32)*4 2.82/2.89 2.82/2.89 with precondition: [W1=3,1>=X] 2.82/2.89 2.82/2.89 * Chain [[86],87]: 1*it(86)+1*s(30)+1*s(31)+0 2.82/2.89 Such that:aux(15) =< -X/7+9/7 2.82/2.89 aux(16) =< -B1/3+B2/3 2.82/2.89 aux(14) =< aux(15) 2.82/2.89 it(86) =< aux(15) 2.82/2.89 aux(14) =< aux(16) 2.82/2.89 it(86) =< aux(16) 2.82/2.89 s(32) =< aux(14)*8 2.82/2.89 s(30) =< s(32) 2.82/2.89 s(31) =< s(32)*4 2.82/2.89 2.82/2.89 with precondition: [W1=7,Y1=8,Z1=4,3*X+7*A2=7*A1+3*X1,3*X+7*B2=7*B1+3*X1,X+C1=X1+C2,15>=X1,X1>=9,X1>=X+7] 2.82/2.89 2.82/2.89 * Chain [89]: 0 2.82/2.89 with precondition: [W1=3] 2.82/2.89 2.82/2.89 * Chain [88]: 84 2.82/2.89 with precondition: [W1=3,8>=X] 2.82/2.89 2.82/2.89 * Chain [87]: 0 2.82/2.89 with precondition: [W1=7,Y1=Y,Z1=Z,A2=A1,B2=B1,C2=C1,X=X1,X>=9] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f540_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1): 2.82/2.89 * Chain [91]: 0 2.82/2.89 with precondition: [A=3,K1=B,E1=C,E1=F1,E1=G1,E1=H1] 2.82/2.89 2.82/2.89 * Chain [90]: 0 2.82/2.89 with precondition: [A=7,K1=B,E1=C,E1=F1,E1=G1,E1=H1] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f526_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1): 2.82/2.89 * Chain [96]: 0 2.82/2.89 with precondition: [A=3,K1=B,E1=C,E1=F1,E1=G1,E1=H1] 2.82/2.89 2.82/2.89 * Chain [95]: 0 2.82/2.89 with precondition: [A=4,K1=B,E1=C,E1=F1,E1=G1,E1=H1] 2.82/2.89 2.82/2.89 * Chain [94]: 2*s(51)+2*s(53)+2*s(54)+84 2.82/2.89 Such that:aux(18) =< -Y/7+9/7 2.82/2.89 aux(19) =< -Y/7+15/7 2.82/2.89 s(50) =< aux(18) 2.82/2.89 s(51) =< aux(18) 2.82/2.89 s(50) =< aux(19) 2.82/2.89 s(51) =< aux(19) 2.82/2.89 s(52) =< s(50)*8 2.82/2.89 s(53) =< s(52) 2.82/2.89 s(54) =< s(52)*4 2.82/2.89 2.82/2.89 with precondition: [A=4,K1=B,E1=C,E1=F1,E1=G1,E1=H1,8>=Y] 2.82/2.89 2.82/2.89 * Chain [93]: 1*s(65)+1*s(67)+1*s(68)+84 2.82/2.89 Such that:s(62) =< -Y/7+8/7 2.82/2.89 s(63) =< -Y/7+9/7 2.82/2.89 s(64) =< s(63) 2.82/2.89 s(65) =< s(63) 2.82/2.89 s(64) =< s(62) 2.82/2.89 s(65) =< s(62) 2.82/2.89 s(66) =< s(64)*8 2.82/2.89 s(67) =< s(66) 2.82/2.89 s(68) =< s(66)*4 2.82/2.89 2.82/2.89 with precondition: [A=4,K1=B,E1=C,E1=F1,E1=G1,E1=H1,1>=Y] 2.82/2.89 2.82/2.89 * Chain [92]: 0 2.82/2.89 with precondition: [A=4,K1=B,E1=C,E1=F1,E1=G1,E1=H1,Y>=9] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f501_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1): 2.82/2.89 * Chain [100]: 0 2.82/2.89 with precondition: [A=3,K1=B,F1=C,F1=H1] 2.82/2.89 2.82/2.89 * Chain [99]: 0 2.82/2.89 with precondition: [A=8,K1=B,F1=C,F1=H1] 2.82/2.89 2.82/2.89 * Chain [98]: 1572/7 2.82/2.89 with precondition: [A=8,K1=B,F1=C,F1=H1,X>=W+1] 2.82/2.89 2.82/2.89 * Chain [97]: 4*s(83)+2*s(89)+2*s(91)+2*s(92)+1*s(97)+1*s(99)+1*s(100)+84 2.82/2.89 Such that:s(94) =< 1 2.82/2.89 s(87) =< 2 2.82/2.89 aux(21) =< 8/7 2.82/2.89 aux(22) =< W-X+1 2.82/2.89 s(83) =< aux(22) 2.82/2.89 s(96) =< aux(21) 2.82/2.89 s(97) =< aux(21) 2.82/2.89 s(96) =< s(94) 2.82/2.89 s(97) =< s(94) 2.82/2.89 s(98) =< s(96)*8 2.82/2.89 s(99) =< s(98) 2.82/2.89 s(100) =< s(98)*4 2.82/2.89 s(88) =< aux(21) 2.82/2.89 s(89) =< aux(21) 2.82/2.89 s(88) =< s(87) 2.82/2.89 s(89) =< s(87) 2.82/2.89 s(90) =< s(88)*8 2.82/2.89 s(91) =< s(90) 2.82/2.89 s(92) =< s(90)*4 2.82/2.89 2.82/2.89 with precondition: [A=8,K1=B,F1=C,F1=H1,W>=X] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f485_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1): 2.82/2.89 * Chain [104]: 0 2.82/2.89 with precondition: [A=3] 2.82/2.89 2.82/2.89 * Chain [103]: 0 2.82/2.89 with precondition: [A=9] 2.82/2.89 2.82/2.89 * Chain [102]: 3*s(101)+4*s(108)+1*s(110)+1*s(112)+1*s(113)+2*s(115)+2*s(117)+2*s(118)+84 2.82/2.89 Such that:s(104) =< 1 2.82/2.89 s(105) =< 2 2.82/2.89 s(107) =< 16 2.82/2.89 s(106) =< 8/7 2.82/2.89 aux(23) =< -T+50 2.82/2.89 s(101) =< aux(23) 2.82/2.89 s(108) =< s(107) 2.82/2.89 s(109) =< s(106) 2.82/2.89 s(110) =< s(106) 2.82/2.89 s(109) =< s(104) 2.82/2.89 s(110) =< s(104) 2.82/2.89 s(111) =< s(109)*8 2.82/2.89 s(112) =< s(111) 2.82/2.89 s(113) =< s(111)*4 2.82/2.89 s(114) =< s(106) 2.82/2.89 s(115) =< s(106) 2.82/2.89 s(114) =< s(105) 2.82/2.89 s(115) =< s(105) 2.82/2.89 s(116) =< s(114)*8 2.82/2.89 s(117) =< s(116) 2.82/2.89 s(118) =< s(116)*4 2.82/2.89 2.82/2.89 with precondition: [A=9,49>=T] 2.82/2.89 2.82/2.89 * Chain [101]: 2020/7 2.82/2.89 with precondition: [A=9,T>=50] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f455_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1): 2.82/2.89 * Chain [108]: 0 2.82/2.89 with precondition: [A=3,C=43690] 2.82/2.89 2.82/2.89 * Chain [107]: 0 2.82/2.89 with precondition: [A=10,C=43690] 2.82/2.89 2.82/2.89 * Chain [106]: 3070/7 2.82/2.89 with precondition: [A=10,C=43690,0>=R+1] 2.82/2.89 2.82/2.89 * Chain [105]: 3*s(151)+3*s(159)+4*s(160)+1*s(162)+1*s(164)+1*s(165)+2*s(167)+2*s(169)+2*s(170)+84 2.82/2.89 Such that:s(154) =< 1 2.82/2.89 s(155) =< 2 2.82/2.89 s(156) =< 16 2.82/2.89 s(158) =< 50 2.82/2.89 s(157) =< 8/7 2.82/2.89 aux(24) =< R+1 2.82/2.89 s(151) =< aux(24) 2.82/2.89 s(159) =< s(158) 2.82/2.89 s(160) =< s(156) 2.82/2.89 s(161) =< s(157) 2.82/2.89 s(162) =< s(157) 2.82/2.89 s(161) =< s(154) 2.82/2.89 s(162) =< s(154) 2.82/2.89 s(163) =< s(161)*8 2.82/2.89 s(164) =< s(163) 2.82/2.89 s(165) =< s(163)*4 2.82/2.89 s(166) =< s(157) 2.82/2.89 s(167) =< s(157) 2.82/2.89 s(166) =< s(155) 2.82/2.89 s(167) =< s(155) 2.82/2.89 s(168) =< s(166)*8 2.82/2.89 s(169) =< s(168) 2.82/2.89 s(170) =< s(168)*4 2.82/2.89 2.82/2.89 with precondition: [A=10,C=43690,R>=0] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f437_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1): 2.82/2.89 * Chain [113]: 0 2.82/2.89 with precondition: [A=3,C=43690] 2.82/2.89 2.82/2.89 * Chain [112]: 0 2.82/2.89 with precondition: [A=5,C=43690] 2.82/2.89 2.82/2.89 * Chain [111]: 3*s(174)+3*s(175)+3*s(192)+3*s(193)+4*s(194)+1*s(196)+1*s(198)+1*s(199)+2*s(201)+2*s(203)+2*s(204)+84 2.82/2.89 Such that:s(186) =< 1 2.82/2.89 s(187) =< 2 2.82/2.89 s(188) =< 16 2.82/2.89 s(189) =< 50 2.82/2.89 s(191) =< 99 2.82/2.89 s(190) =< 8/7 2.82/2.89 aux(25) =< -J/2+50 2.82/2.89 aux(26) =< -J/2+101/2 2.82/2.89 s(192) =< s(191) 2.82/2.89 s(193) =< s(189) 2.82/2.89 s(194) =< s(188) 2.82/2.89 s(195) =< s(190) 2.82/2.89 s(196) =< s(190) 2.82/2.89 s(195) =< s(186) 2.82/2.89 s(196) =< s(186) 2.82/2.89 s(197) =< s(195)*8 2.82/2.89 s(198) =< s(197) 2.82/2.89 s(199) =< s(197)*4 2.82/2.89 s(200) =< s(190) 2.82/2.89 s(201) =< s(190) 2.82/2.89 s(200) =< s(187) 2.82/2.89 s(201) =< s(187) 2.82/2.89 s(202) =< s(200)*8 2.82/2.89 s(203) =< s(202) 2.82/2.89 s(204) =< s(202)*4 2.82/2.89 s(173) =< aux(25) 2.82/2.89 s(174) =< aux(25) 2.82/2.89 s(173) =< aux(26) 2.82/2.89 s(174) =< aux(26) 2.82/2.89 s(175) =< s(173)*16 2.82/2.89 2.82/2.89 with precondition: [A=5,C=43690,99>=J] 2.82/2.89 2.82/2.89 * Chain [110]: 1*s(208)+1*s(209)+16 2.82/2.89 Such that:s(205) =< -J/2+50 2.82/2.89 s(206) =< -J/2+99/2 2.82/2.89 s(207) =< s(205) 2.82/2.89 s(208) =< s(205) 2.82/2.89 s(207) =< s(206) 2.82/2.89 s(208) =< s(206) 2.82/2.89 s(209) =< s(207)*16 2.82/2.89 2.82/2.89 with precondition: [A=5,C=43690,97>=J] 2.82/2.89 2.82/2.89 * Chain [109]: 5149/7 2.82/2.89 with precondition: [A=5,C=43690,J>=100] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f422_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1): 2.82/2.89 * Chain [118]: 0 2.82/2.89 with precondition: [A=3,C=43690] 2.82/2.89 2.82/2.89 * Chain [117]: 0 2.82/2.89 with precondition: [A=6,C=43690] 2.82/2.89 2.82/2.89 * Chain [116]: 4*s(230)+4*s(231)+3*s(246)+3*s(247)+4*s(248)+1*s(250)+1*s(252)+1*s(253)+2*s(255)+2*s(257)+2*s(258)+3*s(260)+3*s(261)+1*s(268)+1*s(269)+84 2.82/2.89 Such that:s(238) =< 1 2.82/2.89 s(239) =< 2 2.82/2.89 s(240) =< 16 2.82/2.89 s(242) =< 99 2.82/2.89 s(243) =< 8/7 2.82/2.89 s(266) =< 99/2 2.82/2.89 s(245) =< 101/2 2.82/2.89 aux(28) =< 50 2.82/2.89 aux(29) =< -G+50 2.82/2.89 s(246) =< s(242) 2.82/2.89 s(247) =< aux(28) 2.82/2.89 s(248) =< s(240) 2.82/2.89 s(249) =< s(243) 2.82/2.89 s(250) =< s(243) 2.82/2.89 s(249) =< s(238) 2.82/2.89 s(250) =< s(238) 2.82/2.89 s(251) =< s(249)*8 2.82/2.89 s(252) =< s(251) 2.82/2.89 s(253) =< s(251)*4 2.82/2.89 s(254) =< s(243) 2.82/2.89 s(255) =< s(243) 2.82/2.89 s(254) =< s(239) 2.82/2.89 s(255) =< s(239) 2.82/2.89 s(256) =< s(254)*8 2.82/2.89 s(257) =< s(256) 2.82/2.89 s(258) =< s(256)*4 2.82/2.89 s(259) =< aux(28) 2.82/2.89 s(260) =< aux(28) 2.82/2.89 s(259) =< s(245) 2.82/2.89 s(260) =< s(245) 2.82/2.89 s(261) =< s(259)*16 2.82/2.89 s(230) =< aux(29) 2.82/2.89 s(231) =< aux(29)*50 2.82/2.89 s(267) =< aux(28) 2.82/2.89 s(268) =< aux(28) 2.82/2.89 s(267) =< s(266) 2.82/2.89 s(268) =< s(266) 2.82/2.89 s(269) =< s(267)*16 2.82/2.89 2.82/2.89 with precondition: [A=6,C=43690,49>=G] 2.82/2.89 2.82/2.89 * Chain [115]: 1*s(273)+1*s(274)+50 2.82/2.89 Such that:s(270) =< -G+49 2.82/2.89 s(271) =< -G+50 2.82/2.89 s(272) =< s(271) 2.82/2.89 s(273) =< s(271) 2.82/2.89 s(272) =< s(270) 2.82/2.89 s(273) =< s(270) 2.82/2.89 s(274) =< s(272)*50 2.82/2.89 2.82/2.89 with precondition: [A=6,C=43690,48>=G] 2.82/2.89 2.82/2.89 * Chain [114]: 28949/7 2.82/2.89 with precondition: [A=6,C=43690,G>=50] 2.82/2.89 2.82/2.89 2.82/2.89 #### Cost of chains of f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,W1): 2.82/2.89 * Chain [119]: 122399/7 2.82/2.89 with precondition: [] 2.82/2.89 2.82/2.89 2.82/2.89 Closed-form bounds of f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,W1): 2.82/2.89 ------------------------------------- 2.82/2.89 * Chain [119] with precondition: [] 2.82/2.89 - Upper bound: 122399/7 2.82/2.89 - Complexity: constant 2.82/2.89 2.82/2.89 ### Maximum cost of f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,W1): 122399/7 2.82/2.89 Asymptotic class: constant 2.82/2.89 * Total analysis performed in 2556 ms. 2.82/2.89 2.90/2.99 EOF