0.04/0.24 MAYBE 0.04/0.24 0.04/0.24 Preprocessing Cost Relations 0.04/0.24 ===================================== 0.04/0.24 0.04/0.24 #### Computed strongly connected components 0.04/0.24 0. recursive : [f9/6] 0.04/0.24 1. non_recursive : [exit_location/1] 0.04/0.24 2. recursive : [f24/1] 0.04/0.24 3. recursive : [f37/1] 0.04/0.24 4. non_recursive : [f48/6] 0.04/0.24 5. non_recursive : [f37_loop_cont/7] 0.04/0.24 6. non_recursive : [f24_loop_cont/7] 0.04/0.24 7. non_recursive : [f9_loop_cont/7] 0.04/0.24 8. non_recursive : [f0/6] 0.04/0.24 0.04/0.24 #### Obtained direct recursion through partial evaluation 0.04/0.24 0. SCC is partially evaluated into f9/6 0.04/0.24 1. SCC is completely evaluated into other SCCs 0.04/0.24 2. SCC is partially evaluated into f24/1 0.04/0.24 3. SCC is partially evaluated into f37/1 0.04/0.24 4. SCC is completely evaluated into other SCCs 0.04/0.24 5. SCC is partially evaluated into f37_loop_cont/7 0.04/0.24 6. SCC is partially evaluated into f24_loop_cont/7 0.04/0.24 7. SCC is partially evaluated into f9_loop_cont/7 0.04/0.24 8. SCC is partially evaluated into f0/6 0.04/0.24 0.04/0.24 Control-Flow Refinement of Cost Relations 0.04/0.24 ===================================== 0.04/0.24 0.04/0.24 ### Specialization of cost equations f9/6 0.04/0.24 * CE 3 is refined into CE [17] 0.04/0.24 * CE 4 is refined into CE [18] 0.04/0.24 * CE 2 is refined into CE [19] 0.04/0.24 0.04/0.24 0.04/0.24 ### Cost equations --> "Loop" of f9/6 0.04/0.24 * CEs [19] --> Loop 17 0.04/0.24 * CEs [17] --> Loop 18 0.04/0.24 * CEs [18] --> Loop 19 0.04/0.24 0.04/0.24 ### Ranking functions of CR f9(C,D,E,H,I,J) 0.04/0.24 * RF of phase [17]: [C-D] 0.04/0.24 0.04/0.24 #### Partial ranking functions of CR f9(C,D,E,H,I,J) 0.04/0.24 * Partial RF of phase [17]: 0.04/0.24 - RF of loop [17:1]: 0.04/0.24 C-D 0.04/0.24 0.04/0.24 0.04/0.24 ### Specialization of cost equations f24/1 0.04/0.24 * CE 8 is refined into CE [20] 0.04/0.24 * CE 9 is refined into CE [21] 0.04/0.24 * CE 7 is refined into CE [22] 0.04/0.24 0.04/0.24 0.04/0.24 ### Cost equations --> "Loop" of f24/1 0.04/0.24 * CEs [22] --> Loop 20 0.04/0.24 * CEs [20] --> Loop 21 0.04/0.24 * CEs [21] --> Loop 22 0.04/0.24 0.04/0.24 ### Ranking functions of CR f24(H) 0.04/0.24 0.04/0.24 #### Partial ranking functions of CR f24(H) 0.04/0.24 0.04/0.24 0.04/0.24 ### Specialization of cost equations f37/1 0.04/0.24 * CE 14 is refined into CE [23] 0.04/0.24 * CE 13 is refined into CE [24] 0.04/0.24 * CE 12 is refined into CE [25] 0.04/0.24 0.04/0.24 0.04/0.24 ### Cost equations --> "Loop" of f37/1 0.04/0.24 * CEs [25] --> Loop 23 0.04/0.24 * CEs [23] --> Loop 24 0.04/0.24 * CEs [24] --> Loop 25 0.04/0.24 0.04/0.24 ### Ranking functions of CR f37(H) 0.04/0.24 0.04/0.24 #### Partial ranking functions of CR f37(H) 0.04/0.24 0.04/0.24 0.04/0.24 ### Specialization of cost equations f37_loop_cont/7 0.04/0.24 * CE 16 is refined into CE [26] 0.04/0.24 * CE 15 is refined into CE [27] 0.04/0.24 0.04/0.24 0.04/0.24 ### Cost equations --> "Loop" of f37_loop_cont/7 0.04/0.24 * CEs [26] --> Loop 26 0.04/0.24 * CEs [27] --> Loop 27 0.04/0.24 0.04/0.24 ### Ranking functions of CR f37_loop_cont(A,B,C,D,E,F,G) 0.04/0.24 0.04/0.24 #### Partial ranking functions of CR f37_loop_cont(A,B,C,D,E,F,G) 0.04/0.24 0.04/0.24 0.04/0.24 ### Specialization of cost equations f24_loop_cont/7 0.04/0.24 * CE 11 is refined into CE [28,29,30,31] 0.04/0.24 * CE 10 is refined into CE [32] 0.04/0.24 0.04/0.24 0.04/0.24 ### Cost equations --> "Loop" of f24_loop_cont/7 0.04/0.24 * CEs [28,29] --> Loop 28 0.04/0.24 * CEs [32] --> Loop 29 0.04/0.24 * CEs [30,31] --> Loop 30 0.04/0.24 0.04/0.24 ### Ranking functions of CR f24_loop_cont(A,B,C,D,E,F,G) 0.04/0.24 0.04/0.24 #### Partial ranking functions of CR f24_loop_cont(A,B,C,D,E,F,G) 0.04/0.24 0.04/0.24 0.04/0.24 ### Specialization of cost equations f9_loop_cont/7 0.04/0.24 * CE 6 is refined into CE [33,34,35,36,37,38] 0.04/0.24 * CE 5 is refined into CE [39] 0.04/0.24 0.04/0.24 0.04/0.24 ### Cost equations --> "Loop" of f9_loop_cont/7 0.04/0.24 * CEs [33,34] --> Loop 31 0.04/0.24 * CEs [39] --> Loop 32 0.04/0.24 * CEs [35,36,37,38] --> Loop 33 0.04/0.24 0.04/0.24 ### Ranking functions of CR f9_loop_cont(A,B,C,D,E,F,G) 0.04/0.24 0.04/0.24 #### Partial ranking functions of CR f9_loop_cont(A,B,C,D,E,F,G) 0.04/0.24 0.04/0.24 0.04/0.24 ### Specialization of cost equations f0/6 0.04/0.24 * CE 1 is refined into CE [40,41,42,43,44,45] 0.04/0.24 0.04/0.24 0.04/0.24 ### Cost equations --> "Loop" of f0/6 0.04/0.24 * CEs [43,45] --> Loop 34 0.04/0.24 * CEs [40,41,42,44] --> Loop 35 0.04/0.24 0.04/0.24 ### Ranking functions of CR f0(A,B,C,D,E,H) 0.04/0.24 0.04/0.24 #### Partial ranking functions of CR f0(A,B,C,D,E,H) 0.04/0.24 0.04/0.24 0.04/0.24 Computing Bounds 0.04/0.24 ===================================== 0.04/0.24 0.04/0.24 #### Cost of chains of f9(C,D,E,H,I,J): 0.04/0.24 * Chain [[17],19]: 1*it(17)+0 0.04/0.24 Such that:it(17) =< C-D 0.04/0.24 0.04/0.24 with precondition: [H=3,D>=0,C>=D+1] 0.04/0.24 0.04/0.24 * Chain [[17],18]: 1*it(17)+0 0.04/0.24 Such that:it(17) =< C-D 0.04/0.24 0.04/0.24 with precondition: [H=5,C=I,D>=0,C>=D+1] 0.04/0.24 0.04/0.24 * Chain [19]: 0 0.04/0.24 with precondition: [H=3,D>=0] 0.04/0.24 0.04/0.24 * Chain [18]: 0 0.04/0.24 with precondition: [H=5,J=E,D=I,D>=0,D>=C] 0.04/0.24 0.04/0.24 0.04/0.24 #### Cost of chains of f24(H): 0.04/0.24 * Chain [[20]]...: 1*it(20)+0 0.04/0.24 with precondition: [] 0.04/0.24 0.04/0.24 * Chain [[20],22]: 1*it(20)+0 0.04/0.24 with precondition: [H=3] 0.04/0.24 0.04/0.24 * Chain [[20],21]: 1*it(20)+0 0.04/0.24 with precondition: [H=4] 0.04/0.24 0.04/0.24 * Chain [22]: 0 0.04/0.24 with precondition: [H=3] 0.04/0.24 0.04/0.24 * Chain [21]: 0 0.04/0.24 with precondition: [H=4] 0.04/0.24 0.04/0.24 0.04/0.24 #### Cost of chains of f37(H): 0.04/0.24 * Chain [[23]]...: 1*it(23)+0 0.04/0.24 with precondition: [] 0.04/0.24 0.04/0.24 * Chain [[23],25]: 1*it(23)+0 0.04/0.24 with precondition: [H=2] 0.04/0.24 0.04/0.24 * Chain [[23],24]: 1*it(23)+0 0.04/0.24 with precondition: [H=3] 0.04/0.24 0.04/0.24 * Chain [25]: 0 0.04/0.24 with precondition: [H=2] 0.04/0.24 0.04/0.24 * Chain [24]: 0 0.04/0.24 with precondition: [H=3] 0.04/0.24 0.04/0.24 0.04/0.24 #### Cost of chains of f37_loop_cont(A,B,C,D,E,F,G): 0.04/0.24 * Chain [27]: 0 0.04/0.24 with precondition: [A=2,C=B,C=D] 0.04/0.24 0.04/0.24 * Chain [26]: 0 0.04/0.24 with precondition: [A=3,C=B,C=D] 0.04/0.24 0.04/0.24 0.04/0.24 #### Cost of chains of f24_loop_cont(A,B,C,D,E,F,G): 0.04/0.24 * Chain [30]...: 1*aux(5)+0 0.04/0.24 with precondition: [A=4,C=B,C=D] 0.04/0.24 0.04/0.24 * Chain [29]: 0 0.04/0.24 with precondition: [A=3,C=B,C=D] 0.04/0.24 0.04/0.24 * Chain [28]: 1*aux(6)+0 0.04/0.24 with precondition: [A=4,C=B,C=D] 0.04/0.24 0.04/0.24 0.04/0.24 #### Cost of chains of f9_loop_cont(A,B,C,D,E,F,G): 0.04/0.24 * Chain [33]...: 1*aux(7)+0 0.04/0.24 with precondition: [A=5,C=B,C=D] 0.04/0.24 0.04/0.24 * Chain [32]: 0 0.04/0.24 with precondition: [A=3,C=B,C=D] 0.04/0.24 0.04/0.24 * Chain [31]: 1*aux(8)+0 0.04/0.24 with precondition: [A=5,C=B,C=D] 0.04/0.24 0.04/0.24 0.04/0.24 #### Cost of chains of f0(A,B,C,D,E,H): 0.04/0.24 * Chain [35]: 1*aux(9)+0 0.04/0.24 with precondition: [] 0.04/0.24 0.04/0.24 * Chain [34]...: 1*aux(10)+0 0.04/0.24 with precondition: [] 0.04/0.24 0.04/0.24 0.04/0.24 Closed-form bounds of f0(A,B,C,D,E,H): 0.04/0.24 ------------------------------------- 0.04/0.24 * Chain [35] with precondition: [] 0.04/0.24 - Upper bound: inf 0.04/0.24 - Complexity: infinity 0.04/0.24 * Chain [34]... with precondition: [] 0.04/0.24 - Upper bound: inf 0.04/0.24 - Complexity: infinity 0.04/0.24 0.04/0.24 ### Maximum cost of f0(A,B,C,D,E,H): inf 0.04/0.24 Asymptotic class: infinity 0.04/0.24 * Total analysis performed in 171 ms. 0.04/0.24 0.04/0.34 EOF