0.71/0.76 MAYBE 0.71/0.76 0.71/0.76 Preprocessing Cost Relations 0.71/0.76 ===================================== 0.71/0.76 0.71/0.76 #### Computed strongly connected components 0.71/0.76 0. recursive : [f9/32] 0.71/0.76 1. non_recursive : [exit_location/1] 0.71/0.76 2. recursive : [f5/27] 0.71/0.76 3. non_recursive : [f0/19] 0.71/0.76 4. non_recursive : [f12/19] 0.71/0.76 5. non_recursive : [f5_loop_cont/20] 0.71/0.76 6. non_recursive : [f9_loop_cont/20] 0.71/0.76 7. non_recursive : [f6/19] 0.71/0.76 0.71/0.76 #### Obtained direct recursion through partial evaluation 0.71/0.76 0. SCC is partially evaluated into f9/32 0.71/0.76 1. SCC is completely evaluated into other SCCs 0.71/0.76 2. SCC is partially evaluated into f5/27 0.71/0.76 3. SCC is completely evaluated into other SCCs 0.71/0.76 4. SCC is completely evaluated into other SCCs 0.71/0.76 5. SCC is partially evaluated into f5_loop_cont/20 0.71/0.76 6. SCC is partially evaluated into f9_loop_cont/20 0.71/0.76 7. SCC is partially evaluated into f6/19 0.71/0.76 0.71/0.76 Control-Flow Refinement of Cost Relations 0.71/0.76 ===================================== 0.71/0.76 0.71/0.76 ### Specialization of cost equations f9/32 0.71/0.76 * CE 3 is refined into CE [14] 0.71/0.76 * CE 4 is refined into CE [15] 0.71/0.76 * CE 2 is refined into CE [16] 0.71/0.76 0.71/0.76 0.71/0.76 ### Cost equations --> "Loop" of f9/32 0.71/0.76 * CEs [16] --> Loop 14 0.71/0.76 * CEs [14] --> Loop 15 0.71/0.76 * CEs [15] --> Loop 16 0.71/0.76 0.71/0.76 ### Ranking functions of CR f9(A,B,C,D,E,F,G,H,I,J,L,M,N,O,Q,R,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1) 0.71/0.76 * RF of phase [14]: [-B+17,-C+16] 0.71/0.76 0.71/0.76 #### Partial ranking functions of CR f9(A,B,C,D,E,F,G,H,I,J,L,M,N,O,Q,R,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1) 0.71/0.76 * Partial RF of phase [14]: 0.71/0.76 - RF of loop [14:1]: 0.71/0.76 -B+17 0.71/0.76 -C+16 0.71/0.76 0.71/0.76 0.71/0.76 ### Specialization of cost equations f5/27 0.71/0.76 * CE 10 is refined into CE [17] 0.71/0.76 * CE 7 is refined into CE [18] 0.71/0.76 * CE 9 is refined into CE [19] 0.71/0.76 * CE 8 is refined into CE [20] 0.71/0.76 0.71/0.76 0.71/0.76 ### Cost equations --> "Loop" of f5/27 0.71/0.76 * CEs [20] --> Loop 17 0.71/0.76 * CEs [17] --> Loop 18 0.71/0.76 * CEs [18] --> Loop 19 0.71/0.76 * CEs [19] --> Loop 20 0.71/0.76 0.71/0.76 ### Ranking functions of CR f5(E,F,G,H,I,J,K,L,M,N,O,P,Q,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1) 0.71/0.76 * RF of phase [17]: [F+1] 0.71/0.76 0.71/0.76 #### Partial ranking functions of CR f5(E,F,G,H,I,J,K,L,M,N,O,P,Q,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1) 0.71/0.76 * Partial RF of phase [17]: 0.71/0.76 - RF of loop [17:1]: 0.71/0.76 F+1 0.71/0.76 0.71/0.76 0.71/0.76 ### Specialization of cost equations f5_loop_cont/20 0.71/0.76 * CE 13 is refined into CE [21] 0.71/0.76 * CE 12 is refined into CE [22] 0.71/0.76 * CE 11 is refined into CE [23] 0.71/0.76 0.71/0.76 0.71/0.76 ### Cost equations --> "Loop" of f5_loop_cont/20 0.71/0.76 * CEs [21] --> Loop 21 0.71/0.76 * CEs [22] --> Loop 22 0.71/0.76 * CEs [23] --> Loop 23 0.71/0.76 0.71/0.76 ### Ranking functions of CR f5_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) 0.71/0.76 0.71/0.76 #### Partial ranking functions of CR f5_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) 0.71/0.76 0.71/0.76 0.71/0.76 ### Specialization of cost equations f9_loop_cont/20 0.71/0.76 * CE 6 is refined into CE [24,25,26,27,28,29] 0.71/0.76 * CE 5 is refined into CE [30] 0.71/0.76 0.71/0.76 0.71/0.76 ### Cost equations --> "Loop" of f9_loop_cont/20 0.71/0.76 * CEs [28] --> Loop 24 0.71/0.76 * CEs [25,26] --> Loop 25 0.71/0.76 * CEs [27] --> Loop 26 0.71/0.76 * CEs [24] --> Loop 27 0.71/0.76 * CEs [29] --> Loop 28 0.71/0.76 * CEs [30] --> Loop 29 0.71/0.76 0.71/0.76 ### Ranking functions of CR f9_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) 0.71/0.76 0.71/0.76 #### Partial ranking functions of CR f9_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) 0.71/0.76 0.71/0.76 0.71/0.76 ### Specialization of cost equations f6/19 0.71/0.76 * CE 1 is refined into CE [31,32,33,34,35,36,37] 0.71/0.76 0.71/0.76 0.71/0.76 ### Cost equations --> "Loop" of f6/19 0.71/0.76 * CEs [31,32,33,34,35,36,37] --> Loop 30 0.71/0.76 0.71/0.76 ### Ranking functions of CR f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,B1) 0.71/0.76 0.71/0.76 #### Partial ranking functions of CR f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,B1) 0.71/0.76 0.71/0.76 0.71/0.76 Computing Bounds 0.71/0.76 ===================================== 0.71/0.76 0.71/0.76 #### Cost of chains of f9(A,B,C,D,E,F,G,H,I,J,L,M,N,O,Q,R,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1): 0.71/0.76 * Chain [[14],16]: 1*it(14)+0 0.71/0.76 Such that:it(14) =< -C+16 0.71/0.76 0.71/0.76 with precondition: [A=17,B1=4,C+1=B,15>=C,C>=0] 0.71/0.76 0.71/0.76 * Chain [[14],15]: 1*it(14)+0 0.71/0.76 Such that:it(14) =< -B+17 0.71/0.76 0.71/0.76 with precondition: [A=17,B1=5,C1=17,D1=16,F1=1,I1=0,Q1=14,C+1=B,H1=L1,E1=P1,15>=C,C>=0] 0.71/0.76 0.71/0.76 * Chain [16]: 0 0.71/0.76 with precondition: [A=17,B1=4,B=C+1,B>=1] 0.71/0.76 0.71/0.76 0.71/0.76 #### Cost of chains of f5(E,F,G,H,I,J,K,L,M,N,O,P,Q,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1): 0.71/0.76 * Chain [[17],20]: 1*it(17)+0 0.71/0.76 Such that:it(17) =< -E+N1 0.71/0.76 0.71/0.76 with precondition: [H=0,B1=3,F1=0,L1=0,K=I1,J1=K1,C1=N1,C1+D1=E+F,E>=0,C1>=E+1,E+F>=C1] 0.71/0.76 0.71/0.76 * Chain [[17],19]: 1*it(17)+0 0.71/0.76 Such that:it(17) =< -E+C1 0.71/0.76 0.71/0.76 with precondition: [H=0,B1=2,F1=J1,C1=N1+1,Q=O1,C1+D1=E+F,E>=0,C1>=E+1,E+F>=C1] 0.71/0.76 0.71/0.76 * Chain [[17],18]: 1*it(17)+0 0.71/0.76 Such that:it(17) =< F+1 0.71/0.76 0.71/0.76 with precondition: [H=0,B1=4,E>=0,F>=0] 0.71/0.76 0.71/0.76 * Chain [20]: 0 0.71/0.76 with precondition: [H=0,N=0,B1=3,F1=0,L1=0,E1=G,I1=K,M1=O,E=C1,F=D1,M=J1,M=K1,E=N1,E>=0,F>=0] 0.71/0.76 0.71/0.76 * Chain [19]: 0 0.71/0.76 with precondition: [B1=2,F1=G,J1=L,K1=M,L1=N,M1=O,N1=P,O1=Q,E=C1,F=D1,E>=1,F>=0] 0.71/0.76 0.71/0.76 * Chain [18]: 0 0.71/0.76 with precondition: [B1=4] 0.71/0.76 0.71/0.76 0.71/0.76 #### Cost of chains of f5_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T): 0.71/0.76 * Chain [23]: 0 0.71/0.76 with precondition: [A=2,B=17] 0.71/0.76 0.71/0.76 * Chain [22]: 0 0.71/0.76 with precondition: [A=3,B=17] 0.71/0.76 0.71/0.76 * Chain [21]: 0 0.71/0.76 with precondition: [A=4,B=17] 0.71/0.76 0.71/0.76 0.71/0.76 #### Cost of chains of f9_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T): 0.71/0.76 * Chain [29]: 0 0.71/0.76 with precondition: [A=4,B=17] 0.71/0.76 0.71/0.76 * Chain [28]: 0 0.71/0.76 with precondition: [A=5,B=17] 0.71/0.76 0.71/0.76 * Chain [27]: 0 0.71/0.76 with precondition: [A=5,B=17,I=0,O=0,F>=0,G>=0] 0.71/0.76 0.71/0.76 * Chain [26]: 1*s(1)+0 0.71/0.76 Such that:s(1) =< G+1 0.71/0.76 0.71/0.76 with precondition: [A=5,B=17,I=0,F>=0,G>=0] 0.71/0.76 0.71/0.76 * Chain [25]: 2*s(2)+0 0.71/0.76 Such that:aux(1) =< G 0.71/0.76 s(2) =< aux(1) 0.71/0.76 0.71/0.76 with precondition: [A=5,B=17,I=0,F>=0,G>=1] 0.71/0.76 0.71/0.76 * Chain [24]: 0 0.71/0.76 with precondition: [A=5,B=17,F>=1,G>=0] 0.71/0.76 0.71/0.76 0.71/0.76 #### Cost of chains of f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,B1): 0.71/0.76 * Chain [30]: 1*aux(3)+0 0.71/0.76 with precondition: [] 0.71/0.76 0.71/0.76 0.71/0.76 Closed-form bounds of f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,B1): 0.71/0.76 ------------------------------------- 0.71/0.76 * Chain [30] with precondition: [] 0.71/0.76 - Upper bound: inf 0.71/0.76 - Complexity: infinity 0.71/0.76 0.71/0.76 ### Maximum cost of f6(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,B1): inf 0.71/0.76 Asymptotic class: infinity 0.71/0.76 * Total analysis performed in 668 ms. 0.71/0.76 0.77/0.87 EOF