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 : [f10/5,f14/5] 0.04/0.41 1. recursive : [f10_loop_cont/10,f8/9] 0.04/0.41 2. non_recursive : [exit_location/1] 0.04/0.41 3. non_recursive : [f28/7] 0.04/0.41 4. non_recursive : [f8_loop_cont/8] 0.04/0.41 5. non_recursive : [f0/7] 0.04/0.41 0.04/0.41 #### Obtained direct recursion through partial evaluation 0.04/0.41 0. SCC is partially evaluated into f10/5 0.04/0.41 1. SCC is partially evaluated into f8/9 0.04/0.41 2. SCC is completely evaluated into other SCCs 0.04/0.41 3. SCC is completely evaluated into other SCCs 0.04/0.41 4. SCC is partially evaluated into f8_loop_cont/8 0.04/0.41 5. SCC is partially evaluated into f0/7 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 f10/5 0.04/0.41 * CE 13 is refined into CE [14] 0.04/0.41 * CE 12 is refined into CE [15] 0.04/0.41 * CE 10 is refined into CE [16] 0.04/0.41 * CE 9 is refined into CE [17] 0.04/0.41 * CE 8 is refined into CE [18] 0.04/0.41 * CE 11 is refined into CE [19] 0.04/0.41 0.04/0.41 0.04/0.41 ### Cost equations --> "Loop" of f10/5 0.04/0.41 * CEs [16] --> Loop 14 0.04/0.41 * CEs [17] --> Loop 15 0.04/0.41 * CEs [18] --> Loop 16 0.04/0.41 * CEs [19] --> Loop 17 0.04/0.41 * CEs [14] --> Loop 18 0.04/0.41 * CEs [15] --> Loop 19 0.04/0.41 0.04/0.41 ### Ranking functions of CR f10(D,E,H,I,J) 0.04/0.41 0.04/0.41 #### Partial ranking functions of CR f10(D,E,H,I,J) 0.04/0.41 * Partial RF of phase [14,15,16,17]: 0.04/0.41 - RF of loop [16:1]: 0.04/0.41 D-E depends on loops [14:1,15:1,17:1] 0.04/0.41 -E/2+3 depends on loops [14:1,15:1,17:1] 0.04/0.41 0.04/0.41 0.04/0.41 ### Specialization of cost equations f8/9 0.04/0.41 * CE 4 is refined into CE [20] 0.04/0.41 * CE 2 is refined into CE [21,22,23] 0.04/0.41 * CE 5 is refined into CE [24] 0.04/0.41 * CE 3 is refined into CE [25,26,27] 0.04/0.41 0.04/0.41 0.04/0.41 ### Cost equations --> "Loop" of f8/9 0.04/0.41 * CEs [27] --> Loop 20 0.04/0.41 * CEs [26] --> Loop 21 0.04/0.41 * CEs [25] --> Loop 22 0.04/0.41 * CEs [20] --> Loop 23 0.04/0.41 * CEs [22] --> Loop 24 0.04/0.41 * CEs [21] --> Loop 25 0.04/0.41 * CEs [24] --> Loop 26 0.04/0.41 * CEs [23] --> Loop 27 0.04/0.41 0.04/0.41 ### Ranking functions of CR f8(C,D,E,F,H,I,J,K,L) 0.04/0.41 0.04/0.41 #### Partial ranking functions of CR f8(C,D,E,F,H,I,J,K,L) 0.04/0.41 * Partial RF of phase [20,21,22]: 0.04/0.41 - RF of loop [21:1]: 0.04/0.41 -D/3+10 depends on loops [20:1] 0.04/0.41 - RF of loop [22:1]: 0.04/0.41 -D/2+15 depends on loops [20:1] 0.04/0.41 -D/12+E/12+1/12 depends on loops [20:1,21:1] 0.04/0.41 0.04/0.41 0.04/0.41 ### Specialization of cost equations f8_loop_cont/8 0.04/0.41 * CE 6 is refined into CE [28] 0.04/0.41 * CE 7 is refined into CE [29] 0.04/0.41 0.04/0.41 0.04/0.41 ### Cost equations --> "Loop" of f8_loop_cont/8 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 f8_loop_cont(A,B,C,D,E,F,G,H) 0.04/0.41 0.04/0.41 #### Partial ranking functions of CR f8_loop_cont(A,B,C,D,E,F,G,H) 0.04/0.41 0.04/0.41 0.04/0.41 ### Specialization of cost equations f0/7 0.04/0.41 * CE 1 is refined into CE [30,31,32,33,34,35,36] 0.04/0.41 0.04/0.41 0.04/0.41 ### Cost equations --> "Loop" of f0/7 0.04/0.41 * CEs [34,35,36] --> Loop 30 0.04/0.41 * CEs [30,31,32,33] --> Loop 31 0.04/0.41 0.04/0.41 ### Ranking functions of CR f0(A,B,C,D,E,F,H) 0.04/0.41 0.04/0.41 #### Partial ranking functions of CR f0(A,B,C,D,E,F,H) 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 f10(D,E,H,I,J): 0.04/0.41 * Chain [[14,15,16,17]]...: 4*it(14)+0 0.04/0.41 with precondition: [D>=E+1,H>=2,3>=H] 0.04/0.41 0.04/0.41 * Chain [[14,15,16,17],19]: 4*it(14)+0 0.04/0.41 with precondition: [H=2,I>=D+3,D>=E+1,J+12>=I] 0.04/0.41 0.04/0.41 * Chain [[14,15,16,17],18]: 4*it(14)+0 0.04/0.41 with precondition: [H=3,D>=E+1] 0.04/0.41 0.04/0.41 * Chain [19]: 0 0.04/0.41 with precondition: [H=2,D+2=I,E=J+10,E>=D] 0.04/0.41 0.04/0.41 * Chain [18]: 0 0.04/0.41 with precondition: [H=3] 0.04/0.41 0.04/0.41 0.04/0.41 #### Cost of chains of f8(C,D,E,F,H,I,J,K,L): 0.04/0.41 * Chain [[20,21,22]]...: 11*it(20)+0 0.04/0.41 with precondition: [C=0,29>=D] 0.04/0.41 0.04/0.41 * Chain [[20,21,22],27]...: 15*it(20)+0 0.04/0.41 with precondition: [C=0,H=3,29>=D,173>=5*D+E] 0.04/0.41 0.04/0.41 * Chain [[20,21,22],26]: 11*it(20)+0 0.04/0.41 with precondition: [C=0,H=3,29>=D] 0.04/0.41 0.04/0.41 * Chain [[20,21,22],25]: 11*it(20)+0 0.04/0.41 with precondition: [C=0,H=3,29>=D] 0.04/0.41 0.04/0.41 * Chain [[20,21,22],24]: 15*it(20)+0 0.04/0.41 with precondition: [C=0,H=3,29>=D,173>=5*D+E] 0.04/0.41 0.04/0.41 * Chain [[20,21,22],23]: 11*it(20)+0 0.04/0.41 with precondition: [C=0,H=4,I=1,L=1,29>=D,J>=30] 0.04/0.41 0.04/0.41 * Chain [26]: 0 0.04/0.41 with precondition: [C=0,H=3] 0.04/0.41 0.04/0.41 * Chain [25]: 0 0.04/0.41 with precondition: [C=0,H=3,29>=D] 0.04/0.41 0.04/0.41 0.04/0.41 #### Cost of chains of f8_loop_cont(A,B,C,D,E,F,G,H): 0.04/0.41 * Chain [29]: 0 0.04/0.41 with precondition: [A=3,B=1,C=1] 0.04/0.41 0.04/0.41 * Chain [28]: 0 0.04/0.41 with precondition: [A=4,B=1,C=1] 0.04/0.41 0.04/0.41 0.04/0.41 #### Cost of chains of f0(A,B,C,D,E,F,H): 0.04/0.41 * Chain [31]: 1*aux(5)+0 0.04/0.41 with precondition: [] 0.04/0.41 0.04/0.41 * Chain [30]...: 1*aux(6)+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,H): 0.04/0.41 ------------------------------------- 0.04/0.41 * Chain [31] with precondition: [] 0.04/0.41 - Upper bound: inf 0.04/0.41 - Complexity: infinity 0.04/0.41 * Chain [30]... 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,H): inf 0.04/0.41 Asymptotic class: infinity 0.04/0.41 * Total analysis performed in 338 ms. 0.04/0.41 0.04/0.51 EOF