0.04/0.41 MAYBE 0.04/0.41 0.04/0.41 Preprocessing Cost Relations 0.04/0.41 ===================================== 0.04/0.41 0.04/0.41 #### Computed strongly connected components 0.04/0.41 0. recursive : [f25/7] 0.04/0.41 1. non_recursive : [exit_location/1] 0.04/0.41 2. recursive : [f40/7] 0.04/0.41 3. non_recursive : [f52/19] 0.04/0.41 4. non_recursive : [f48/19] 0.04/0.41 5. non_recursive : [f40_loop_cont/20] 0.04/0.41 6. non_recursive : [f33/19] 0.04/0.41 7. non_recursive : [f25_loop_cont/20] 0.04/0.41 8. non_recursive : [f18/19] 0.04/0.41 9. non_recursive : [f0/19] 0.04/0.41 0.04/0.41 #### Obtained direct recursion through partial evaluation 0.04/0.41 0. SCC is partially evaluated into f25/7 0.04/0.41 1. SCC is completely evaluated into other SCCs 0.04/0.41 2. SCC is partially evaluated into f40/7 0.04/0.41 3. SCC is completely evaluated into other SCCs 0.04/0.41 4. SCC is partially evaluated into f48/19 0.04/0.41 5. SCC is partially evaluated into f40_loop_cont/20 0.04/0.41 6. SCC is partially evaluated into f33/19 0.04/0.41 7. SCC is partially evaluated into f25_loop_cont/20 0.04/0.41 8. SCC is partially evaluated into f18/19 0.04/0.41 9. SCC is partially evaluated into f0/19 0.04/0.41 0.04/0.41 Control-Flow Refinement of Cost Relations 0.04/0.41 ===================================== 0.04/0.41 0.04/0.41 ### Specialization of cost equations f25/7 0.04/0.41 * CE 6 is refined into CE [18] 0.04/0.41 * CE 5 is refined into CE [19] 0.04/0.41 * CE 4 is discarded (unfeasible) 0.04/0.41 * CE 3 is discarded (unfeasible) 0.04/0.41 0.04/0.41 0.04/0.41 ### Cost equations --> "Loop" of f25/7 0.04/0.41 * CEs [18] --> Loop 18 0.04/0.41 * CEs [19] --> Loop 19 0.04/0.41 0.04/0.41 ### Ranking functions of CR f25(G,H,I,K,S,T,U) 0.04/0.41 0.04/0.41 #### Partial ranking functions of CR f25(G,H,I,K,S,T,U) 0.04/0.41 0.04/0.41 0.04/0.41 ### Specialization of cost equations f40/7 0.04/0.41 * CE 12 is discarded (unfeasible) 0.04/0.41 * CE 13 is refined into CE [20] 0.04/0.41 * CE 11 is refined into CE [21] 0.04/0.41 * CE 10 is discarded (unfeasible) 0.04/0.41 0.04/0.41 0.04/0.41 ### Cost equations --> "Loop" of f40/7 0.04/0.41 * CEs [21] --> Loop 20 0.04/0.41 * CEs [20] --> Loop 21 0.04/0.41 0.04/0.41 ### Ranking functions of CR f40(M,N,O,Q,S,T,U) 0.04/0.41 0.04/0.41 #### Partial ranking functions of CR f40(M,N,O,Q,S,T,U) 0.04/0.41 0.04/0.41 0.04/0.41 ### Specialization of cost equations f48/19 0.04/0.41 * CE 17 is discarded (unfeasible) 0.04/0.41 * CE 16 is refined into CE [22] 0.04/0.41 0.04/0.41 0.04/0.41 ### Cost equations --> "Loop" of f48/19 0.04/0.41 * CEs [22] --> Loop 22 0.04/0.41 0.04/0.41 ### Ranking functions of CR f48(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S) 0.04/0.41 0.04/0.41 #### Partial ranking functions of CR f48(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S) 0.04/0.41 0.04/0.41 0.04/0.41 ### Specialization of cost equations f40_loop_cont/20 0.04/0.41 * CE 14 is refined into CE [23] 0.04/0.41 * CE 15 is refined into CE [24] 0.04/0.41 0.04/0.41 0.04/0.41 ### Cost equations --> "Loop" of f40_loop_cont/20 0.04/0.41 * CEs [23] --> Loop 23 0.04/0.41 * CEs [24] --> Loop 24 0.04/0.41 0.04/0.41 ### Ranking functions of CR f40_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) 0.04/0.41 0.04/0.41 #### Partial ranking functions of CR f40_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) 0.04/0.41 0.04/0.41 0.04/0.41 ### Specialization of cost equations f33/19 0.04/0.41 * CE 9 is refined into CE [25,26,27] 0.04/0.41 0.04/0.41 0.04/0.41 ### Cost equations --> "Loop" of f33/19 0.04/0.41 * CEs [26,27] --> Loop 25 0.04/0.41 * CEs [25] --> Loop 26 0.04/0.41 0.04/0.41 ### Ranking functions of CR f33(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S) 0.04/0.41 0.04/0.41 #### Partial ranking functions of CR f33(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S) 0.04/0.41 0.04/0.41 0.04/0.41 ### Specialization of cost equations f25_loop_cont/20 0.04/0.41 * CE 8 is refined into CE [28] 0.04/0.41 * CE 7 is refined into CE [29,30] 0.04/0.41 0.04/0.41 0.04/0.41 ### Cost equations --> "Loop" of f25_loop_cont/20 0.04/0.41 * CEs [30] --> Loop 27 0.04/0.41 * CEs [28] --> Loop 28 0.04/0.41 * CEs [29] --> Loop 29 0.04/0.41 0.04/0.41 ### Ranking functions of CR f25_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) 0.04/0.41 0.04/0.41 #### Partial ranking functions of CR f25_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) 0.04/0.41 0.04/0.41 0.04/0.41 ### Specialization of cost equations f18/19 0.04/0.41 * CE 2 is refined into CE [31,32,33] 0.04/0.41 0.04/0.41 0.04/0.41 ### Cost equations --> "Loop" of f18/19 0.04/0.41 * CEs [31,33] --> Loop 30 0.04/0.41 * CEs [32] --> Loop 31 0.04/0.41 0.04/0.41 ### Ranking functions of CR f18(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S) 0.04/0.41 0.04/0.41 #### Partial ranking functions of CR f18(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S) 0.04/0.41 0.04/0.41 0.04/0.41 ### Specialization of cost equations f0/19 0.04/0.41 * CE 1 is refined into CE [34,35] 0.04/0.41 0.04/0.41 0.04/0.41 ### Cost equations --> "Loop" of f0/19 0.04/0.41 * CEs [35] --> Loop 32 0.04/0.41 * CEs [34] --> Loop 33 0.04/0.41 0.04/0.41 ### Ranking functions of CR f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S) 0.04/0.41 0.04/0.41 #### 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) 0.04/0.41 0.04/0.41 0.04/0.41 Computing Bounds 0.04/0.41 ===================================== 0.04/0.41 0.04/0.41 #### Cost of chains of f25(G,H,I,K,S,T,U): 0.04/0.41 * Chain [19]: 0 0.04/0.41 with precondition: [G+3=0,H=4,I=0,S=2,T=4,U=4] 0.04/0.41 0.04/0.41 * Chain [18]: 0 0.04/0.41 with precondition: [G+3=0,H=4,I=0,S=3] 0.04/0.41 0.04/0.41 0.04/0.41 #### Cost of chains of f40(M,N,O,Q,S,T,U): 0.04/0.41 * Chain [[20]]...: 1*it(20)+0 0.04/0.41 with precondition: [M=3,N+6>=0,O=0] 0.04/0.41 0.04/0.41 * Chain [[20],21]: 1*it(20)+0 0.04/0.41 with precondition: [M=3,O=0,S=3,N+6>=0] 0.04/0.41 0.04/0.41 * Chain [21]: 0 0.04/0.41 with precondition: [M=3,O=0,S=3,N+6>=0] 0.04/0.41 0.04/0.41 0.04/0.41 #### Cost of chains of f48(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S): 0.04/0.41 * Chain [22]: 0 0.04/0.41 with precondition: [A=3,B=3,C=0,D=3,E=3,F=3,G+3=0,I=0,M=3,O=0,K=J,K=L] 0.04/0.41 0.04/0.41 0.04/0.41 #### Cost of chains of f40_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T): 0.04/0.41 * Chain [24]: 0 0.04/0.41 with precondition: [A=3,B=3,C=3,D=0,E=3,F=3,G=3,H+3=0,J=0,N=3,P=0,L=K,L=M] 0.04/0.41 0.04/0.41 * Chain [23]: 0 0.04/0.41 with precondition: [A=4,B=3,C=3,D=0,E=3,F=3,G=3,H+3=0,J=0,N=3,P=0,L=K,L=M] 0.04/0.41 0.04/0.41 0.04/0.41 #### Cost of chains of f33(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S): 0.04/0.41 * Chain [26]: 1*s(2)+0 0.04/0.41 with precondition: [A=3,B=3,C=0,D=3,E=3,F=3,G+3=0,I=0] 0.04/0.41 0.04/0.41 * Chain [25]...: 1*aux(2)+0 0.04/0.41 with precondition: [A=3,B=3,C=0,D=3,E=3,F=3,G+3=0,I=0] 0.04/0.41 0.04/0.41 0.04/0.41 #### Cost of chains of f25_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T): 0.04/0.41 * Chain [29]: 1*s(5)+0 0.04/0.41 with precondition: [A=2,B=3,C=3,D=0,E=3,F=3,G=3,H+3=0,J=0] 0.04/0.41 0.04/0.41 * Chain [28]: 0 0.04/0.41 with precondition: [A=3,B=3,C=3,D=0,E=3,F=3,G=3,H+3=0,J=0] 0.04/0.41 0.04/0.41 * Chain [27]...: 1*s(6)+0 0.04/0.41 with precondition: [A=2,B=3,C=3,D=0,E=3,F=3,G=3,H+3=0,J=0] 0.04/0.41 0.04/0.41 0.04/0.41 #### Cost of chains of f18(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S): 0.04/0.41 * Chain [31]...: 1*s(7)+0 0.04/0.41 with precondition: [A=3,B=3,C=0,D=3] 0.04/0.41 0.04/0.41 * Chain [30]: 1*aux(3)+0 0.04/0.41 with precondition: [A=3,B=3,C=0,D=3] 0.04/0.41 0.04/0.41 0.04/0.41 #### Cost of chains of f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S): 0.04/0.41 * Chain [33]: 1*s(9)+0 0.04/0.41 with precondition: [] 0.04/0.41 0.04/0.41 * Chain [32]...: 1*s(10)+0 0.04/0.41 with precondition: [] 0.04/0.41 0.04/0.41 0.04/0.41 Closed-form bounds of f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S): 0.04/0.41 ------------------------------------- 0.04/0.41 * Chain [33] with precondition: [] 0.04/0.41 - Upper bound: inf 0.04/0.41 - Complexity: infinity 0.04/0.41 * Chain [32]... with precondition: [] 0.04/0.41 - Upper bound: inf 0.04/0.41 - Complexity: infinity 0.04/0.41 0.04/0.41 ### Maximum cost of f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S): inf 0.04/0.41 Asymptotic class: infinity 0.04/0.41 * Total analysis performed in 318 ms. 0.04/0.41 0.04/0.51 EOF