0.03/0.31 MAYBE 0.03/0.31 0.03/0.31 Preprocessing Cost Relations 0.03/0.31 ===================================== 0.03/0.31 0.03/0.31 #### Computed strongly connected components 0.03/0.31 0. recursive : [f12/6] 0.03/0.31 1. non_recursive : [exit_location/1] 0.03/0.31 2. recursive : [f27/3] 0.03/0.31 3. recursive : [f42/1] 0.03/0.31 4. recursive : [f55/1] 0.03/0.31 5. non_recursive : [f66/7] 0.03/0.31 6. non_recursive : [f55_loop_cont/8] 0.03/0.31 7. non_recursive : [f42_loop_cont/8] 0.03/0.31 8. non_recursive : [f27_loop_cont/8] 0.03/0.31 9. non_recursive : [f12_loop_cont/8] 0.03/0.31 10. non_recursive : [f0/7] 0.03/0.31 0.03/0.31 #### Obtained direct recursion through partial evaluation 0.03/0.31 0. SCC is partially evaluated into f12/6 0.03/0.31 1. SCC is completely evaluated into other SCCs 0.03/0.31 2. SCC is partially evaluated into f27/3 0.03/0.31 3. SCC is partially evaluated into f42/1 0.03/0.31 4. SCC is partially evaluated into f55/1 0.03/0.31 5. SCC is completely evaluated into other SCCs 0.03/0.31 6. SCC is partially evaluated into f55_loop_cont/8 0.03/0.31 7. SCC is partially evaluated into f42_loop_cont/8 0.03/0.31 8. SCC is partially evaluated into f27_loop_cont/8 0.03/0.31 9. SCC is partially evaluated into f12_loop_cont/8 0.03/0.31 10. SCC is partially evaluated into f0/7 0.03/0.31 0.03/0.31 Control-Flow Refinement of Cost Relations 0.03/0.31 ===================================== 0.03/0.31 0.03/0.31 ### Specialization of cost equations f12/6 0.03/0.31 * CE 3 is refined into CE [22] 0.03/0.31 * CE 4 is refined into CE [23] 0.03/0.31 * CE 2 is refined into CE [24] 0.03/0.31 0.03/0.31 0.03/0.31 ### Cost equations --> "Loop" of f12/6 0.03/0.31 * CEs [24] --> Loop 22 0.03/0.31 * CEs [22] --> Loop 23 0.03/0.31 * CEs [23] --> Loop 24 0.03/0.31 0.03/0.31 ### Ranking functions of CR f12(C,D,E,I,J,K) 0.03/0.31 * RF of phase [22]: [C-D] 0.03/0.31 0.03/0.31 #### Partial ranking functions of CR f12(C,D,E,I,J,K) 0.03/0.31 * Partial RF of phase [22]: 0.03/0.31 - RF of loop [22:1]: 0.03/0.31 C-D 0.03/0.31 0.03/0.31 0.03/0.31 ### Specialization of cost equations f27/3 0.03/0.31 * CE 8 is refined into CE [25] 0.03/0.31 * CE 9 is refined into CE [26] 0.03/0.31 * CE 7 is refined into CE [27] 0.03/0.31 0.03/0.31 0.03/0.31 ### Cost equations --> "Loop" of f27/3 0.03/0.31 * CEs [27] --> Loop 25 0.03/0.31 * CEs [25] --> Loop 26 0.03/0.31 * CEs [26] --> Loop 27 0.03/0.31 0.03/0.31 ### Ranking functions of CR f27(F,I,J) 0.03/0.31 0.03/0.31 #### Partial ranking functions of CR f27(F,I,J) 0.03/0.31 0.03/0.31 0.03/0.31 ### Specialization of cost equations f42/1 0.03/0.31 * CE 13 is refined into CE [28] 0.03/0.31 * CE 14 is refined into CE [29] 0.03/0.31 * CE 12 is refined into CE [30] 0.03/0.31 0.03/0.31 0.03/0.31 ### Cost equations --> "Loop" of f42/1 0.03/0.31 * CEs [30] --> Loop 28 0.03/0.31 * CEs [28] --> Loop 29 0.03/0.31 * CEs [29] --> Loop 30 0.03/0.31 0.03/0.31 ### Ranking functions of CR f42(I) 0.03/0.31 0.03/0.31 #### Partial ranking functions of CR f42(I) 0.03/0.31 0.03/0.31 0.03/0.31 ### Specialization of cost equations f55/1 0.03/0.31 * CE 19 is refined into CE [31] 0.03/0.31 * CE 18 is refined into CE [32] 0.03/0.31 * CE 17 is refined into CE [33] 0.03/0.31 0.03/0.31 0.03/0.31 ### Cost equations --> "Loop" of f55/1 0.03/0.31 * CEs [33] --> Loop 31 0.03/0.31 * CEs [31] --> Loop 32 0.03/0.31 * CEs [32] --> Loop 33 0.03/0.31 0.03/0.31 ### Ranking functions of CR f55(I) 0.03/0.31 0.03/0.31 #### Partial ranking functions of CR f55(I) 0.03/0.31 0.03/0.31 0.03/0.31 ### Specialization of cost equations f55_loop_cont/8 0.03/0.31 * CE 21 is refined into CE [34] 0.03/0.31 * CE 20 is refined into CE [35] 0.03/0.31 0.03/0.31 0.03/0.31 ### Cost equations --> "Loop" of f55_loop_cont/8 0.03/0.31 * CEs [34] --> Loop 34 0.03/0.31 * CEs [35] --> Loop 35 0.03/0.31 0.03/0.31 ### Ranking functions of CR f55_loop_cont(A,B,C,D,E,F,G,H) 0.03/0.31 0.03/0.31 #### Partial ranking functions of CR f55_loop_cont(A,B,C,D,E,F,G,H) 0.03/0.31 0.03/0.31 0.03/0.31 ### Specialization of cost equations f42_loop_cont/8 0.03/0.31 * CE 16 is refined into CE [36,37,38,39] 0.03/0.31 * CE 15 is refined into CE [40] 0.03/0.31 0.03/0.31 0.03/0.31 ### Cost equations --> "Loop" of f42_loop_cont/8 0.03/0.31 * CEs [36,37] --> Loop 36 0.03/0.31 * CEs [40] --> Loop 37 0.03/0.31 * CEs [38,39] --> Loop 38 0.03/0.31 0.03/0.31 ### Ranking functions of CR f42_loop_cont(A,B,C,D,E,F,G,H) 0.03/0.31 0.03/0.31 #### Partial ranking functions of CR f42_loop_cont(A,B,C,D,E,F,G,H) 0.03/0.31 0.03/0.31 0.03/0.31 ### Specialization of cost equations f27_loop_cont/8 0.03/0.31 * CE 11 is refined into CE [41,42,43,44,45,46] 0.03/0.31 * CE 10 is refined into CE [47] 0.03/0.31 0.03/0.31 0.03/0.31 ### Cost equations --> "Loop" of f27_loop_cont/8 0.03/0.31 * CEs [41,42] --> Loop 39 0.03/0.31 * CEs [47] --> Loop 40 0.03/0.31 * CEs [43,44,45,46] --> Loop 41 0.03/0.31 0.03/0.31 ### Ranking functions of CR f27_loop_cont(A,B,C,D,E,F,G,H) 0.03/0.31 0.03/0.31 #### Partial ranking functions of CR f27_loop_cont(A,B,C,D,E,F,G,H) 0.03/0.31 0.03/0.31 0.03/0.31 ### Specialization of cost equations f12_loop_cont/8 0.03/0.31 * CE 6 is refined into CE [48,49,50,51,52,53,54,55] 0.03/0.31 * CE 5 is refined into CE [56] 0.03/0.31 0.03/0.31 0.03/0.31 ### Cost equations --> "Loop" of f12_loop_cont/8 0.03/0.31 * CEs [48,49,51] --> Loop 42 0.03/0.31 * CEs [56] --> Loop 43 0.03/0.31 * CEs [50,52,53,54,55] --> Loop 44 0.03/0.31 0.03/0.31 ### Ranking functions of CR f12_loop_cont(A,B,C,D,E,F,G,H) 0.03/0.31 0.03/0.31 #### Partial ranking functions of CR f12_loop_cont(A,B,C,D,E,F,G,H) 0.03/0.31 0.03/0.31 0.03/0.31 ### Specialization of cost equations f0/7 0.03/0.31 * CE 1 is refined into CE [57,58,59,60,61,62] 0.03/0.31 0.03/0.31 0.03/0.31 ### Cost equations --> "Loop" of f0/7 0.03/0.31 * CEs [60,62] --> Loop 45 0.03/0.31 * CEs [57,58,59,61] --> Loop 46 0.03/0.31 0.03/0.31 ### Ranking functions of CR f0(A,B,C,D,E,F,I) 0.03/0.31 0.03/0.31 #### Partial ranking functions of CR f0(A,B,C,D,E,F,I) 0.03/0.31 0.03/0.31 0.03/0.31 Computing Bounds 0.03/0.31 ===================================== 0.03/0.31 0.03/0.31 #### Cost of chains of f12(C,D,E,I,J,K): 0.03/0.31 * Chain [[22],24]: 1*it(22)+0 0.03/0.31 Such that:it(22) =< C-D 0.03/0.31 0.03/0.31 with precondition: [I=3,D>=0,C>=D+1] 0.03/0.31 0.03/0.31 * Chain [[22],23]: 1*it(22)+0 0.03/0.31 Such that:it(22) =< C-D 0.03/0.31 0.03/0.31 with precondition: [I=6,C=J,D>=0,C>=D+1] 0.03/0.31 0.03/0.31 * Chain [24]: 0 0.03/0.31 with precondition: [I=3,D>=0] 0.03/0.31 0.03/0.31 * Chain [23]: 0 0.03/0.31 with precondition: [I=6,K=E,D=J,D>=0,D>=C] 0.03/0.31 0.03/0.31 0.03/0.31 #### Cost of chains of f27(F,I,J): 0.03/0.31 * Chain [[25]]...: 1*it(25)+0 0.03/0.31 with precondition: [] 0.03/0.31 0.03/0.31 * Chain [[25],27]: 1*it(25)+0 0.03/0.31 with precondition: [I=3] 0.03/0.31 0.03/0.31 * Chain [[25],26]: 1*it(25)+0 0.03/0.31 with precondition: [I=5] 0.03/0.31 0.03/0.31 * Chain [27]: 0 0.03/0.31 with precondition: [I=3] 0.03/0.31 0.03/0.31 * Chain [26]: 0 0.03/0.31 with precondition: [I=5,J=F] 0.03/0.31 0.03/0.31 0.03/0.31 #### Cost of chains of f42(I): 0.03/0.31 * Chain [[28]]...: 1*it(28)+0 0.03/0.31 with precondition: [] 0.03/0.31 0.03/0.31 * Chain [[28],30]: 1*it(28)+0 0.03/0.31 with precondition: [I=3] 0.03/0.31 0.03/0.31 * Chain [[28],29]: 1*it(28)+0 0.03/0.31 with precondition: [I=4] 0.03/0.31 0.03/0.31 * Chain [30]: 0 0.03/0.31 with precondition: [I=3] 0.03/0.31 0.03/0.31 * Chain [29]: 0 0.03/0.31 with precondition: [I=4] 0.03/0.31 0.03/0.31 0.03/0.31 #### Cost of chains of f55(I): 0.03/0.31 * Chain [[31]]...: 1*it(31)+0 0.03/0.31 with precondition: [] 0.03/0.31 0.03/0.31 * Chain [[31],33]: 1*it(31)+0 0.03/0.31 with precondition: [I=2] 0.03/0.31 0.03/0.31 * Chain [[31],32]: 1*it(31)+0 0.03/0.31 with precondition: [I=3] 0.03/0.31 0.03/0.31 * Chain [33]: 0 0.03/0.31 with precondition: [I=2] 0.03/0.31 0.03/0.31 * Chain [32]: 0 0.03/0.31 with precondition: [I=3] 0.03/0.31 0.03/0.31 0.03/0.31 #### Cost of chains of f55_loop_cont(A,B,C,D,E,F,G,H): 0.03/0.31 * Chain [35]: 0 0.03/0.31 with precondition: [A=2,C=B,C=D] 0.03/0.31 0.03/0.31 * Chain [34]: 0 0.03/0.31 with precondition: [A=3,C=B,C=D] 0.03/0.31 0.03/0.31 0.03/0.31 #### Cost of chains of f42_loop_cont(A,B,C,D,E,F,G,H): 0.03/0.31 * Chain [38]...: 1*aux(6)+0 0.03/0.31 with precondition: [A=4,C=B,C=D] 0.03/0.31 0.03/0.31 * Chain [37]: 0 0.03/0.31 with precondition: [A=3,C=B,C=D] 0.03/0.31 0.03/0.31 * Chain [36]: 1*aux(7)+0 0.03/0.31 with precondition: [A=4,C=B,C=D] 0.03/0.31 0.03/0.31 0.03/0.31 #### Cost of chains of f27_loop_cont(A,B,C,D,E,F,G,H): 0.03/0.31 * Chain [41]...: 1*aux(8)+0 0.03/0.31 with precondition: [A=5,C=B,C=D] 0.03/0.31 0.03/0.31 * Chain [40]: 0 0.03/0.31 with precondition: [A=3,C=B,C=D] 0.03/0.31 0.03/0.31 * Chain [39]: 1*aux(9)+0 0.03/0.31 with precondition: [A=5,C=B,C=D] 0.03/0.31 0.03/0.31 0.03/0.31 #### Cost of chains of f12_loop_cont(A,B,C,D,E,F,G,H): 0.03/0.31 * Chain [44]...: 1*aux(10)+0 0.03/0.31 with precondition: [A=6,C=B,C=D] 0.03/0.31 0.03/0.31 * Chain [43]: 0 0.03/0.31 with precondition: [A=3,C=B,C=D] 0.03/0.31 0.03/0.31 * Chain [42]: 1*aux(11)+0 0.03/0.31 with precondition: [A=6,C=B,C=D] 0.03/0.31 0.03/0.31 0.03/0.31 #### Cost of chains of f0(A,B,C,D,E,F,I): 0.03/0.31 * Chain [46]: 1*aux(12)+0 0.03/0.31 with precondition: [] 0.03/0.31 0.03/0.31 * Chain [45]...: 1*aux(13)+0 0.03/0.31 with precondition: [] 0.03/0.31 0.03/0.31 0.03/0.31 Closed-form bounds of f0(A,B,C,D,E,F,I): 0.03/0.31 ------------------------------------- 0.03/0.31 * Chain [46] with precondition: [] 0.03/0.31 - Upper bound: inf 0.03/0.31 - Complexity: infinity 0.03/0.31 * Chain [45]... with precondition: [] 0.03/0.31 - Upper bound: inf 0.03/0.31 - Complexity: infinity 0.03/0.31 0.03/0.31 ### Maximum cost of f0(A,B,C,D,E,F,I): inf 0.03/0.31 Asymptotic class: infinity 0.03/0.31 * Total analysis performed in 243 ms. 0.03/0.31 0.03/0.42 EOF