0.03/0.17 MAYBE 0.03/0.17 0.03/0.17 Preprocessing Cost Relations 0.03/0.17 ===================================== 0.03/0.17 0.03/0.17 #### Computed strongly connected components 0.03/0.17 0. recursive : [f41/1] 0.03/0.17 1. non_recursive : [exit_location/1] 0.03/0.17 2. non_recursive : [f41_loop_cont/2] 0.03/0.17 3. non_recursive : [f29/16] 0.03/0.17 4. non_recursive : [f21/16] 0.03/0.17 5. non_recursive : [f0/16] 0.03/0.17 0.03/0.17 #### Obtained direct recursion through partial evaluation 0.03/0.17 0. SCC is partially evaluated into f41/1 0.03/0.17 1. SCC is completely evaluated into other SCCs 0.03/0.17 2. SCC is completely evaluated into other SCCs 0.03/0.17 3. SCC is partially evaluated into f29/16 0.03/0.17 4. SCC is partially evaluated into f21/16 0.03/0.17 5. SCC is partially evaluated into f0/16 0.03/0.17 0.03/0.17 Control-Flow Refinement of Cost Relations 0.03/0.17 ===================================== 0.03/0.17 0.03/0.17 ### Specialization of cost equations f41/1 0.03/0.17 * CE 7 is refined into CE [10] 0.03/0.17 * CE 6 is refined into CE [11] 0.03/0.17 0.03/0.17 0.03/0.17 ### Cost equations --> "Loop" of f41/1 0.03/0.17 * CEs [11] --> Loop 8 0.03/0.17 * CEs [10] --> Loop 9 0.03/0.17 0.03/0.17 ### Ranking functions of CR f41(R) 0.03/0.17 0.03/0.17 #### Partial ranking functions of CR f41(R) 0.03/0.17 0.03/0.17 0.03/0.17 ### Specialization of cost equations f29/16 0.03/0.17 * CE 8 is discarded (unfeasible) 0.03/0.17 * CE 9 is refined into CE [12,13] 0.03/0.17 0.03/0.17 0.03/0.17 ### Cost equations --> "Loop" of f29/16 0.03/0.17 * CEs [13] --> Loop 10 0.03/0.17 * CEs [12] --> Loop 11 0.03/0.17 0.03/0.17 ### Ranking functions of CR f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R) 0.03/0.17 0.03/0.17 #### Partial ranking functions of CR f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R) 0.03/0.17 0.03/0.17 0.03/0.17 ### Specialization of cost equations f21/16 0.03/0.17 * CE 5 is refined into CE [14,15] 0.03/0.17 * CE 4 is discarded (unfeasible) 0.03/0.17 0.03/0.17 0.03/0.17 ### Cost equations --> "Loop" of f21/16 0.03/0.17 * CEs [15] --> Loop 12 0.03/0.17 * CEs [14] --> Loop 13 0.03/0.17 0.03/0.17 ### Ranking functions of CR f21(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R) 0.03/0.17 0.03/0.17 #### Partial ranking functions of CR f21(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R) 0.03/0.17 0.03/0.17 0.03/0.17 ### Specialization of cost equations f0/16 0.03/0.17 * CE 1 is refined into CE [16,17] 0.03/0.17 * CE 2 is refined into CE [18,19] 0.03/0.17 * CE 3 is refined into CE [20,21] 0.03/0.17 0.03/0.17 0.03/0.17 ### Cost equations --> "Loop" of f0/16 0.03/0.17 * CEs [17,19,21] --> Loop 14 0.03/0.17 * CEs [16,18,20] --> Loop 15 0.03/0.17 0.03/0.17 ### Ranking functions of CR f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R) 0.03/0.17 0.03/0.17 #### Partial ranking functions of CR f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R) 0.03/0.17 0.03/0.17 0.03/0.17 Computing Bounds 0.03/0.17 ===================================== 0.03/0.17 0.03/0.17 #### Cost of chains of f41(R): 0.03/0.17 * Chain [[8]]...: 1*it(8)+0 0.03/0.17 with precondition: [R=2] 0.03/0.17 0.03/0.17 * Chain [[8],9]: 1*it(8)+0 0.03/0.17 with precondition: [R=2] 0.03/0.17 0.03/0.17 * Chain [9]: 0 0.03/0.17 with precondition: [R=2] 0.03/0.17 0.03/0.17 0.03/0.17 #### Cost of chains of f29(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R): 0.03/0.17 * Chain [11]: 1*s(2)+0 0.03/0.17 with precondition: [A=0,G=0,C=B,C=H,0>=J,I>=J] 0.03/0.17 0.03/0.17 * Chain [10]...: 1*s(3)+0 0.03/0.17 with precondition: [A=0,G=0,C=B,C=H,0>=J,I>=J] 0.03/0.17 0.03/0.17 0.03/0.17 #### Cost of chains of f21(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R): 0.03/0.17 * Chain [13]: 1*s(4)+0 0.03/0.17 with precondition: [A=1,0>=J,I>=J] 0.03/0.17 0.03/0.17 * Chain [12]...: 1*s(5)+0 0.03/0.17 with precondition: [A=1,0>=J,I>=J] 0.03/0.17 0.03/0.17 0.03/0.17 #### Cost of chains of f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R): 0.03/0.17 * Chain [15]: 1*aux(2)+0 0.03/0.17 with precondition: [] 0.03/0.17 0.03/0.17 * Chain [14]...: 1*aux(3)+0 0.03/0.17 with precondition: [] 0.03/0.17 0.03/0.17 0.03/0.17 Closed-form bounds of f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R): 0.03/0.17 ------------------------------------- 0.03/0.17 * Chain [15] with precondition: [] 0.03/0.17 - Upper bound: inf 0.03/0.17 - Complexity: infinity 0.03/0.17 * Chain [14]... with precondition: [] 0.03/0.17 - Upper bound: inf 0.03/0.17 - Complexity: infinity 0.03/0.17 0.03/0.17 ### Maximum cost of f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,R): inf 0.03/0.17 Asymptotic class: infinity 0.03/0.17 * Total analysis performed in 108 ms. 0.03/0.17 0.03/0.28 EOF