1.76/1.77 WORST_CASE(?,O(1)) 1.76/1.77 1.76/1.77 Preprocessing Cost Relations 1.76/1.77 ===================================== 1.76/1.77 1.76/1.77 #### Computed strongly connected components 1.76/1.77 0. recursive : [f23/9] 1.76/1.77 1. recursive : [f17/13,f23_loop_cont/14] 1.76/1.77 2. non_recursive : [exit_location/1] 1.76/1.77 3. recursive : [f42/13] 1.76/1.77 4. recursive : [f72/9] 1.76/1.77 5. recursive : [f66/13,f72_loop_cont/14] 1.76/1.77 6. recursive : [f91/15] 1.76/1.77 7. non_recursive : [f106/33] 1.76/1.77 8. non_recursive : [f91_loop_cont/34] 1.76/1.77 9. non_recursive : [f85/33] 1.76/1.77 10. non_recursive : [f66_loop_cont/34] 1.76/1.77 11. non_recursive : [f56/33] 1.76/1.77 12. non_recursive : [f42_loop_cont/34] 1.76/1.77 13. non_recursive : [f36/33] 1.76/1.77 14. non_recursive : [f17_loop_cont/34] 1.76/1.77 15. non_recursive : [f0/33] 1.76/1.77 1.76/1.77 #### Obtained direct recursion through partial evaluation 1.76/1.77 0. SCC is partially evaluated into f23/9 1.76/1.77 1. SCC is partially evaluated into f17/13 1.76/1.77 2. SCC is completely evaluated into other SCCs 1.76/1.77 3. SCC is partially evaluated into f42/13 1.76/1.77 4. SCC is partially evaluated into f72/9 1.76/1.77 5. SCC is partially evaluated into f66/13 1.76/1.77 6. SCC is partially evaluated into f91/15 1.76/1.77 7. SCC is completely evaluated into other SCCs 1.76/1.77 8. SCC is partially evaluated into f91_loop_cont/34 1.76/1.77 9. SCC is partially evaluated into f85/33 1.76/1.77 10. SCC is partially evaluated into f66_loop_cont/34 1.76/1.77 11. SCC is partially evaluated into f56/33 1.76/1.77 12. SCC is partially evaluated into f42_loop_cont/34 1.76/1.77 13. SCC is partially evaluated into f36/33 1.76/1.77 14. SCC is partially evaluated into f17_loop_cont/34 1.76/1.77 15. SCC is partially evaluated into f0/33 1.76/1.77 1.76/1.77 Control-Flow Refinement of Cost Relations 1.76/1.77 ===================================== 1.76/1.77 1.76/1.77 ### Specialization of cost equations f23/9 1.76/1.77 * CE 22 is refined into CE [45] 1.76/1.77 * CE 21 is refined into CE [46] 1.76/1.77 * CE 20 is refined into CE [47] 1.76/1.77 1.76/1.77 1.76/1.77 ### Cost equations --> "Loop" of f23/9 1.76/1.77 * CEs [47] --> Loop 45 1.76/1.77 * CEs [45] --> Loop 46 1.76/1.77 * CEs [46] --> Loop 47 1.76/1.77 1.76/1.77 ### Ranking functions of CR f23(H,K,L,F1,I1,J1,K1,L1,M1) 1.76/1.77 * RF of phase [45]: [-L+8] 1.76/1.77 1.76/1.77 #### Partial ranking functions of CR f23(H,K,L,F1,I1,J1,K1,L1,M1) 1.76/1.77 * Partial RF of phase [45]: 1.76/1.77 - RF of loop [45:1]: 1.76/1.77 -L+8 1.76/1.77 1.76/1.77 1.76/1.77 ### Specialization of cost equations f17/13 1.76/1.77 * CE 9 is refined into CE [48] 1.76/1.77 * CE 7 is refined into CE [49,50] 1.76/1.77 * CE 10 is refined into CE [51] 1.76/1.77 * CE 8 is refined into CE [52] 1.76/1.77 1.76/1.77 1.76/1.77 ### Cost equations --> "Loop" of f17/13 1.76/1.77 * CEs [52] --> Loop 48 1.76/1.77 * CEs [48] --> Loop 49 1.76/1.77 * CEs [49,50] --> Loop 50 1.76/1.77 * CEs [51] --> Loop 51 1.76/1.77 1.76/1.77 ### Ranking functions of CR f17(H,I,J,K,L,F1,I1,J1,K1,L1,M1,N1,O1) 1.76/1.77 * RF of phase [48]: [-H+256] 1.76/1.77 1.76/1.77 #### Partial ranking functions of CR f17(H,I,J,K,L,F1,I1,J1,K1,L1,M1,N1,O1) 1.76/1.77 * Partial RF of phase [48]: 1.76/1.77 - RF of loop [48:1]: 1.76/1.77 -H+256 1.76/1.77 1.76/1.77 1.76/1.77 ### Specialization of cost equations f42/13 1.76/1.77 * CE 16 is discarded (unfeasible) 1.76/1.77 * CE 15 is refined into CE [53] 1.76/1.77 * CE 17 is refined into CE [54] 1.76/1.77 * CE 14 is refined into CE [55] 1.76/1.77 * CE 13 is discarded (unfeasible) 1.76/1.77 1.76/1.77 1.76/1.77 ### Cost equations --> "Loop" of f42/13 1.76/1.77 * CEs [55] --> Loop 52 1.76/1.77 * CEs [53] --> Loop 53 1.76/1.77 * CEs [54] --> Loop 54 1.76/1.77 1.76/1.77 ### Ranking functions of CR f42(D,F,G,H,M,O,E1,I1,J1,K1,L1,M1,N1) 1.76/1.77 * RF of phase [52]: [-H+41] 1.76/1.77 1.76/1.77 #### Partial ranking functions of CR f42(D,F,G,H,M,O,E1,I1,J1,K1,L1,M1,N1) 1.76/1.77 * Partial RF of phase [52]: 1.76/1.77 - RF of loop [52:1]: 1.76/1.77 -H+41 1.76/1.77 1.76/1.77 1.76/1.77 ### Specialization of cost equations f72/9 1.76/1.77 * CE 43 is refined into CE [56] 1.76/1.77 * CE 44 is refined into CE [57] 1.76/1.77 * CE 42 is refined into CE [58] 1.76/1.77 1.76/1.77 1.76/1.77 ### Cost equations --> "Loop" of f72/9 1.76/1.77 * CEs [58] --> Loop 55 1.76/1.78 * CEs [56] --> Loop 56 1.76/1.78 * CEs [57] --> Loop 57 1.76/1.78 1.76/1.78 ### Ranking functions of CR f72(U,X,Y,D1,I1,J1,K1,L1,M1) 1.76/1.78 * RF of phase [55]: [-Y+8] 1.76/1.78 1.76/1.78 #### Partial ranking functions of CR f72(U,X,Y,D1,I1,J1,K1,L1,M1) 1.76/1.78 * Partial RF of phase [55]: 1.76/1.78 - RF of loop [55:1]: 1.76/1.78 -Y+8 1.76/1.78 1.76/1.78 1.76/1.78 ### Specialization of cost equations f66/13 1.76/1.78 * CE 31 is refined into CE [59] 1.76/1.78 * CE 29 is refined into CE [60,61] 1.76/1.78 * CE 32 is refined into CE [62] 1.76/1.78 * CE 30 is refined into CE [63] 1.76/1.78 1.76/1.78 1.76/1.78 ### Cost equations --> "Loop" of f66/13 1.76/1.78 * CEs [63] --> Loop 58 1.76/1.78 * CEs [59] --> Loop 59 1.76/1.78 * CEs [60,61] --> Loop 60 1.76/1.78 * CEs [62] --> Loop 61 1.76/1.78 1.76/1.78 ### Ranking functions of CR f66(U,V,W,X,Y,D1,I1,J1,K1,L1,M1,N1,O1) 1.76/1.78 * RF of phase [58]: [-U+256] 1.76/1.78 1.76/1.78 #### Partial ranking functions of CR f66(U,V,W,X,Y,D1,I1,J1,K1,L1,M1,N1,O1) 1.76/1.78 * Partial RF of phase [58]: 1.76/1.78 - RF of loop [58:1]: 1.76/1.78 -U+256 1.76/1.78 1.76/1.78 1.76/1.78 ### Specialization of cost equations f91/15 1.76/1.78 * CE 38 is discarded (unfeasible) 1.76/1.78 * CE 37 is refined into CE [64] 1.76/1.78 * CE 39 is refined into CE [65] 1.76/1.78 * CE 36 is refined into CE [66] 1.76/1.78 * CE 35 is discarded (unfeasible) 1.76/1.78 1.76/1.78 1.76/1.78 ### Cost equations --> "Loop" of f91/15 1.76/1.78 * CEs [66] --> Loop 62 1.76/1.78 * CEs [64] --> Loop 63 1.76/1.78 * CEs [65] --> Loop 64 1.76/1.78 1.76/1.78 ### Ranking functions of CR f91(Q,S,T,U,Z,A1,B1,C1,I1,J1,K1,L1,M1,N1,O1) 1.76/1.78 * RF of phase [62]: [-U+43] 1.76/1.78 1.76/1.78 #### Partial ranking functions of CR f91(Q,S,T,U,Z,A1,B1,C1,I1,J1,K1,L1,M1,N1,O1) 1.76/1.78 * Partial RF of phase [62]: 1.76/1.78 - RF of loop [62:1]: 1.76/1.78 -U+43 1.76/1.78 1.76/1.78 1.76/1.78 ### Specialization of cost equations f91_loop_cont/34 1.76/1.78 * CE 40 is refined into CE [67] 1.76/1.78 * CE 41 is refined into CE [68] 1.76/1.78 1.76/1.78 1.76/1.78 ### Cost equations --> "Loop" of f91_loop_cont/34 1.76/1.78 * CEs [67] --> Loop 65 1.76/1.78 * CEs [68] --> Loop 66 1.76/1.78 1.76/1.78 ### Ranking functions of CR f91_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) 1.76/1.78 1.76/1.78 #### Partial ranking functions of CR f91_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) 1.76/1.78 1.76/1.78 1.76/1.78 ### Specialization of cost equations f85/33 1.76/1.78 * CE 26 is refined into CE [69,70,71] 1.76/1.78 * CE 27 is discarded (unfeasible) 1.76/1.78 * CE 28 is discarded (unfeasible) 1.76/1.78 1.76/1.78 1.76/1.78 ### Cost equations --> "Loop" of f85/33 1.76/1.78 * CEs [69,70,71] --> Loop 67 1.76/1.78 1.76/1.78 ### Ranking functions of CR f85(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,I1) 1.76/1.78 1.76/1.78 #### Partial ranking functions of CR f85(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,I1) 1.76/1.78 1.76/1.78 1.76/1.78 ### Specialization of cost equations f66_loop_cont/34 1.76/1.78 * CE 33 is refined into CE [72] 1.76/1.78 * CE 34 is refined into CE [73] 1.76/1.78 1.76/1.78 1.76/1.78 ### Cost equations --> "Loop" of f66_loop_cont/34 1.76/1.78 * CEs [72] --> Loop 68 1.76/1.78 * CEs [73] --> Loop 69 1.76/1.78 1.76/1.78 ### Ranking functions of CR f66_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) 1.76/1.78 1.76/1.78 #### Partial ranking functions of CR f66_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) 1.76/1.78 1.76/1.78 1.76/1.78 ### Specialization of cost equations f56/33 1.76/1.78 * CE 24 is refined into CE [74] 1.76/1.78 * CE 23 is refined into CE [75] 1.76/1.78 * CE 25 is refined into CE [76,77,78,79] 1.76/1.78 1.76/1.78 1.76/1.78 ### Cost equations --> "Loop" of f56/33 1.76/1.78 * CEs [74] --> Loop 70 1.76/1.78 * CEs [75] --> Loop 71 1.76/1.78 * CEs [76,77,78,79] --> Loop 72 1.76/1.78 1.76/1.78 ### Ranking functions of CR f56(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,I1) 1.76/1.78 1.76/1.78 #### Partial ranking functions of CR f56(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,I1) 1.76/1.78 1.76/1.78 1.76/1.78 ### Specialization of cost equations f42_loop_cont/34 1.76/1.78 * CE 18 is refined into CE [80,81,82] 1.76/1.78 * CE 19 is refined into CE [83] 1.76/1.78 1.76/1.78 1.76/1.78 ### Cost equations --> "Loop" of f42_loop_cont/34 1.76/1.78 * CEs [82] --> Loop 73 1.76/1.78 * CEs [81] --> Loop 74 1.76/1.78 * CEs [80] --> Loop 75 1.76/1.78 * CEs [83] --> Loop 76 1.76/1.78 1.76/1.78 ### Ranking functions of CR f42_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) 1.76/1.78 1.76/1.78 #### Partial ranking functions of CR f42_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) 1.76/1.78 1.76/1.78 1.76/1.78 ### Specialization of cost equations f36/33 1.76/1.78 * CE 4 is refined into CE [84,85,86,87,88] 1.76/1.78 * CE 5 is discarded (unfeasible) 1.76/1.78 * CE 6 is discarded (unfeasible) 1.76/1.78 1.76/1.78 1.76/1.78 ### Cost equations --> "Loop" of f36/33 1.76/1.78 * CEs [88] --> Loop 77 1.76/1.78 * CEs [87] --> Loop 78 1.76/1.78 * CEs [84,85] --> Loop 79 1.76/1.78 * CEs [86] --> Loop 80 1.76/1.78 1.76/1.78 ### Ranking functions of CR f36(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,I1) 1.76/1.78 1.76/1.78 #### Partial ranking functions of CR f36(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,I1) 1.76/1.78 1.76/1.78 1.76/1.78 ### Specialization of cost equations f17_loop_cont/34 1.76/1.78 * CE 11 is refined into CE [89,90] 1.76/1.78 * CE 12 is refined into CE [91] 1.76/1.78 1.76/1.78 1.76/1.78 ### Cost equations --> "Loop" of f17_loop_cont/34 1.76/1.78 * CEs [89,90] --> Loop 81 1.76/1.78 * CEs [91] --> Loop 82 1.76/1.78 1.76/1.78 ### Ranking functions of CR f17_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) 1.76/1.78 1.76/1.78 #### Partial ranking functions of CR f17_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) 1.76/1.78 1.76/1.78 1.76/1.78 ### Specialization of cost equations f0/33 1.76/1.78 * CE 2 is refined into CE [92,93] 1.76/1.78 * CE 1 is refined into CE [94,95] 1.76/1.78 * CE 3 is refined into CE [96,97,98,99] 1.76/1.78 1.76/1.78 1.76/1.78 ### Cost equations --> "Loop" of f0/33 1.76/1.78 * CEs [92,93] --> Loop 83 1.76/1.78 * CEs [94,95] --> Loop 84 1.76/1.78 * CEs [96,97,98,99] --> Loop 85 1.76/1.78 1.76/1.78 ### 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,I1) 1.76/1.78 1.76/1.78 #### 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,I1) 1.76/1.78 1.76/1.78 1.76/1.78 Computing Bounds 1.76/1.78 ===================================== 1.76/1.78 1.76/1.78 #### Cost of chains of f23(H,K,L,F1,I1,J1,K1,L1,M1): 1.76/1.78 * Chain [[45],47]: 1*it(45)+0 1.76/1.78 Such that:it(45) =< -L+8 1.76/1.78 1.76/1.78 with precondition: [I1=2,L1=8,H+1=J1,K1=M1,255>=H,7>=L,L>=0] 1.76/1.78 1.76/1.78 * Chain [[45],46]: 1*it(45)+0 1.76/1.78 Such that:it(45) =< -L+8 1.76/1.78 1.76/1.78 with precondition: [I1=3,255>=H,7>=L,L>=0] 1.76/1.78 1.76/1.78 * Chain [46]: 0 1.76/1.78 with precondition: [I1=3,255>=H,L>=0] 1.76/1.78 1.76/1.78 1.76/1.78 #### Cost of chains of f17(H,I,J,K,L,F1,I1,J1,K1,L1,M1,N1,O1): 1.76/1.78 * Chain [[48],51]: 1*it(48)+1*s(3)+0 1.76/1.78 Such that:aux(4) =< -H+256 1.76/1.78 it(48) =< aux(4) 1.76/1.78 s(3) =< aux(4)*8 1.76/1.78 1.76/1.78 with precondition: [I1=3,255>=H,H>=0] 1.76/1.78 1.76/1.78 * Chain [[48],50]: 1*it(48)+1*s(3)+8 1.76/1.78 Such that:aux(3) =< -H+255 1.76/1.78 aux(2) =< -H+256 1.76/1.78 aux(1) =< aux(2) 1.76/1.78 it(48) =< aux(2) 1.76/1.78 aux(1) =< aux(3) 1.76/1.78 it(48) =< aux(3) 1.76/1.78 s(3) =< aux(1)*8 1.76/1.78 1.76/1.78 with precondition: [I1=3,254>=H,H>=0] 1.76/1.78 1.76/1.78 * Chain [[48],49]: 1*it(48)+1*s(3)+0 1.76/1.78 Such that:aux(5) =< -H+256 1.76/1.78 it(48) =< aux(5) 1.76/1.78 s(3) =< aux(5)*8 1.76/1.78 1.76/1.78 with precondition: [I1=5,J1=256,L1=0,N1=8,M1=O1,255>=H] 1.76/1.78 1.76/1.78 * Chain [51]: 0 1.76/1.78 with precondition: [I1=3,H>=0] 1.76/1.78 1.76/1.78 * Chain [50]: 8 1.76/1.78 with precondition: [I1=3,255>=H,H>=0] 1.76/1.78 1.76/1.78 1.76/1.78 #### Cost of chains of f42(D,F,G,H,M,O,E1,I1,J1,K1,L1,M1,N1): 1.76/1.78 * Chain [[52],54]: 1*it(52)+0 1.76/1.78 Such that:it(52) =< -H+41 1.76/1.78 1.76/1.78 with precondition: [D=40,F=1,I1=3,40>=H,H>=1] 1.76/1.78 1.76/1.78 * Chain [[52],53]: 1*it(52)+0 1.76/1.78 Such that:it(52) =< -H+41 1.76/1.78 1.76/1.78 with precondition: [D=40,F=1,I1=6,K1=41,J1=M1,J1=N1,40>=H,H>=1] 1.76/1.78 1.76/1.78 * Chain [54]: 0 1.76/1.78 with precondition: [D=40,F=1,I1=3,H>=1] 1.76/1.78 1.76/1.78 1.76/1.78 #### Cost of chains of f72(U,X,Y,D1,I1,J1,K1,L1,M1): 1.76/1.78 * Chain [[55],57]: 1*it(55)+0 1.76/1.78 Such that:it(55) =< -Y+8 1.76/1.78 1.76/1.78 with precondition: [I1=3,255>=U,7>=Y,Y>=0] 1.76/1.78 1.76/1.78 * Chain [[55],56]: 1*it(55)+0 1.76/1.78 Such that:it(55) =< -Y+8 1.76/1.78 1.76/1.78 with precondition: [I1=4,L1=8,U+1=J1,K1=M1,255>=U,7>=Y,Y>=0] 1.76/1.78 1.76/1.78 * Chain [57]: 0 1.76/1.78 with precondition: [I1=3,255>=U,Y>=0] 1.76/1.78 1.76/1.78 1.76/1.78 #### Cost of chains of f66(U,V,W,X,Y,D1,I1,J1,K1,L1,M1,N1,O1): 1.76/1.78 * Chain [[58],61]: 1*it(58)+1*s(10)+0 1.76/1.78 Such that:aux(9) =< -U+256 1.76/1.78 it(58) =< aux(9) 1.76/1.78 s(10) =< aux(9)*8 1.76/1.78 1.76/1.78 with precondition: [I1=3,255>=U,U>=0] 1.76/1.78 1.76/1.78 * Chain [[58],60]: 1*it(58)+1*s(10)+8 1.76/1.78 Such that:aux(8) =< -U+255 1.76/1.78 aux(7) =< -U+256 1.76/1.78 aux(6) =< aux(7) 1.76/1.78 it(58) =< aux(7) 1.76/1.78 aux(6) =< aux(8) 1.76/1.78 it(58) =< aux(8) 1.76/1.78 s(10) =< aux(6)*8 1.76/1.78 1.76/1.78 with precondition: [I1=3,254>=U,U>=0] 1.76/1.78 1.76/1.78 * Chain [[58],59]: 1*it(58)+1*s(10)+0 1.76/1.78 Such that:aux(10) =< -U+256 1.76/1.78 it(58) =< aux(10) 1.76/1.78 s(10) =< aux(10)*8 1.76/1.78 1.76/1.78 with precondition: [I1=7,J1=256,L1=0,N1=8,M1=O1,255>=U] 1.76/1.78 1.76/1.78 * Chain [61]: 0 1.76/1.78 with precondition: [I1=3,U>=0] 1.76/1.78 1.76/1.78 * Chain [60]: 8 1.76/1.78 with precondition: [I1=3,255>=U,U>=0] 1.76/1.78 1.76/1.78 1.76/1.78 #### Cost of chains of f91(Q,S,T,U,Z,A1,B1,C1,I1,J1,K1,L1,M1,N1,O1): 1.76/1.78 * Chain [[62],64]: 1*it(62)+0 1.76/1.78 Such that:it(62) =< -U+43 1.76/1.78 1.76/1.78 with precondition: [Q=42,S=1,I1=3,42>=U,U>=1] 1.76/1.78 1.76/1.78 * Chain [[62],63]: 1*it(62)+0 1.76/1.78 Such that:it(62) =< -U+43 1.76/1.78 1.76/1.78 with precondition: [Q=42,S=1,I1=8,K1=43,J1=M1,J1=N1,J1=O1,42>=U,U>=1] 1.76/1.78 1.76/1.78 * Chain [64]: 0 1.76/1.78 with precondition: [Q=42,S=1,I1=3,U>=1] 1.76/1.78 1.76/1.78 1.76/1.78 #### Cost of chains of f91_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): 1.76/1.78 * Chain [66]: 0 1.76/1.78 with precondition: [A=3,C=40,D=0,E=40,F=0,G=1,R=42,S=0,T=1,P=O,P=Q] 1.76/1.78 1.76/1.78 * Chain [65]: 0 1.76/1.78 with precondition: [A=8,C=40,D=0,E=40,F=0,G=1,R=42,S=0,T=1,P=O,P=Q] 1.76/1.78 1.76/1.78 1.76/1.78 #### Cost of chains of f85(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,I1): 1.76/1.78 * Chain [67]: 84 1.76/1.78 with precondition: [B=40,C=0,D=40,E=0,F=1,Q=42,R=0,S=1,O=N,O=P,O=T] 1.76/1.78 1.76/1.78 1.76/1.78 #### Cost of chains of f66_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): 1.76/1.78 * Chain [69]: 0 1.76/1.78 with precondition: [A=3,B=1,C=40,D=0,E=40,F=0,G=1,R=42,S=0,T=1,P=O,P=Q,P=U] 1.76/1.78 1.76/1.78 * Chain [68]: 84 1.76/1.78 with precondition: [A=7,B=1,C=40,D=0,E=40,F=0,G=1,R=42,S=0,T=1,P=O,P=Q,P=U] 1.76/1.78 1.76/1.78 1.76/1.78 #### Cost of chains of f56(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,I1): 1.76/1.78 * Chain [72]: 6996 1.76/1.78 with precondition: [A=0,B=40,C=0,D=40,E=0,F=1] 1.76/1.78 1.76/1.78 * Chain [71]: 84 1.76/1.78 with precondition: [B=40,C=0,D=40,E=0,F=1,0>=A+1] 1.76/1.78 1.76/1.78 * Chain [70]: 84 1.76/1.78 with precondition: [B=40,C=0,D=40,E=0,F=1,A>=1] 1.76/1.78 1.76/1.78 1.76/1.78 #### Cost of chains of f42_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): 1.76/1.78 * Chain [76]: 0 1.76/1.78 with precondition: [A=3,C=40,D=0,E=40,F=0,G=1] 1.76/1.78 1.76/1.78 * Chain [75]: 6996 1.76/1.78 with precondition: [A=6,B=0,C=40,D=0,E=40,F=0,G=1] 1.76/1.78 1.76/1.78 * Chain [74]: 84 1.76/1.78 with precondition: [A=6,C=40,D=0,E=40,F=0,G=1,0>=B+1] 1.76/1.78 1.76/1.78 * Chain [73]: 84 1.76/1.78 with precondition: [A=6,C=40,D=0,E=40,F=0,G=1,B>=1] 1.76/1.78 1.76/1.78 1.76/1.78 #### Cost of chains of f36(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,I1): 1.76/1.78 * Chain [80]: 1*s(28)+6996 1.76/1.78 Such that:s(28) =< 40 1.76/1.78 1.76/1.78 with precondition: [A=0,B=40,C=0,D=40,E=0,F=1,G=0] 1.76/1.78 1.76/1.78 * Chain [79]: 40 1.76/1.78 with precondition: [B=40,C=0,D=40,E=0,F=1,G=0] 1.76/1.78 1.76/1.78 * Chain [78]: 1*s(30)+84 1.76/1.78 Such that:s(30) =< 40 1.76/1.78 1.76/1.78 with precondition: [B=40,C=0,D=40,E=0,F=1,G=0,0>=A+1] 1.76/1.78 1.76/1.78 * Chain [77]: 1*s(31)+84 1.76/1.78 Such that:s(31) =< 40 1.76/1.78 1.76/1.78 with precondition: [B=40,C=0,D=40,E=0,F=1,G=0,A>=1] 1.76/1.78 1.76/1.78 1.76/1.78 #### Cost of chains of f17_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): 1.76/1.78 * Chain [82]: 0 1.76/1.78 with precondition: [A=3,B=1,C=40,D=0,E=40,F=0,G=1,H=0] 1.76/1.78 1.76/1.78 * Chain [81]: 124 1.76/1.78 with precondition: [A=5,B=1,C=40,D=0,E=40,F=0,G=1,H=0] 1.76/1.78 1.76/1.78 1.76/1.78 #### 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,I1): 1.76/1.78 * Chain [85]: 7036 1.76/1.78 with precondition: [A=0] 1.76/1.78 1.76/1.78 * Chain [84]: 124 1.76/1.78 with precondition: [0>=A+1] 1.76/1.78 1.76/1.78 * Chain [83]: 124 1.76/1.78 with precondition: [A>=1] 1.76/1.78 1.76/1.78 1.76/1.78 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,I1): 1.76/1.78 ------------------------------------- 1.76/1.78 * Chain [85] with precondition: [A=0] 1.76/1.78 - Upper bound: 7036 1.76/1.78 - Complexity: constant 1.76/1.78 * Chain [84] with precondition: [0>=A+1] 1.76/1.78 - Upper bound: 124 1.76/1.78 - Complexity: constant 1.76/1.78 * Chain [83] with precondition: [A>=1] 1.76/1.78 - Upper bound: 124 1.76/1.78 - Complexity: constant 1.76/1.78 1.76/1.78 ### 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,I1): 7036 1.76/1.78 Asymptotic class: constant 1.76/1.78 * Total analysis performed in 1552 ms. 1.76/1.78 1.78/1.88 EOF