0.03/0.27 MAYBE 0.03/0.27 0.03/0.27 Preprocessing Cost Relations 0.03/0.27 ===================================== 0.03/0.27 0.03/0.27 #### Computed strongly connected components 0.03/0.27 0. recursive : [f14/7] 0.03/0.27 1. recursive : [f14_loop_cont/10,f9/9] 0.03/0.27 2. non_recursive : [exit_location/1] 0.03/0.27 3. recursive : [f22/1] 0.03/0.27 4. non_recursive : [f22_loop_cont/2] 0.03/0.27 5. non_recursive : [f9_loop_cont/6] 0.03/0.27 6. non_recursive : [f0/5] 0.03/0.27 0.03/0.27 #### Obtained direct recursion through partial evaluation 0.03/0.27 0. SCC is partially evaluated into f14/7 0.03/0.27 1. SCC is partially evaluated into f9/9 0.03/0.27 2. SCC is completely evaluated into other SCCs 0.03/0.27 3. SCC is partially evaluated into f22/1 0.03/0.27 4. SCC is completely evaluated into other SCCs 0.03/0.27 5. SCC is partially evaluated into f9_loop_cont/6 0.03/0.27 6. SCC is partially evaluated into f0/5 0.03/0.27 0.03/0.27 Control-Flow Refinement of Cost Relations 0.03/0.27 ===================================== 0.03/0.27 0.03/0.27 ### Specialization of cost equations f14/7 0.03/0.27 * CE 10 is refined into CE [13] 0.03/0.27 * CE 9 is refined into CE [14] 0.03/0.27 * CE 8 is refined into CE [15] 0.03/0.27 0.03/0.27 0.03/0.27 ### Cost equations --> "Loop" of f14/7 0.03/0.27 * CEs [15] --> Loop 13 0.03/0.27 * CEs [13] --> Loop 14 0.03/0.27 * CEs [14] --> Loop 15 0.03/0.27 0.03/0.27 ### Ranking functions of CR f14(A,C,D,F,G,H,I) 0.03/0.27 * RF of phase [13]: [C] 0.03/0.27 0.03/0.27 #### Partial ranking functions of CR f14(A,C,D,F,G,H,I) 0.03/0.27 * Partial RF of phase [13]: 0.03/0.27 - RF of loop [13:1]: 0.03/0.27 C 0.03/0.27 0.03/0.27 0.03/0.27 ### Specialization of cost equations f9/9 0.03/0.27 * CE 4 is refined into CE [16] 0.03/0.27 * CE 2 is refined into CE [17,18] 0.03/0.27 * CE 5 is refined into CE [19] 0.03/0.27 * CE 3 is refined into CE [20,21] 0.03/0.27 0.03/0.27 0.03/0.27 ### Cost equations --> "Loop" of f9/9 0.03/0.27 * CEs [21] --> Loop 16 0.03/0.27 * CEs [20] --> Loop 17 0.03/0.27 * CEs [16] --> Loop 18 0.03/0.27 * CEs [17,18] --> Loop 19 0.03/0.27 * CEs [19] --> Loop 20 0.03/0.27 0.03/0.27 ### Ranking functions of CR f9(A,B,C,D,F,G,H,I,J) 0.03/0.27 0.03/0.27 #### Partial ranking functions of CR f9(A,B,C,D,F,G,H,I,J) 0.03/0.27 0.03/0.27 0.03/0.27 ### Specialization of cost equations f22/1 0.03/0.27 * CE 12 is refined into CE [22] 0.03/0.27 * CE 11 is refined into CE [23] 0.03/0.27 0.03/0.27 0.03/0.27 ### Cost equations --> "Loop" of f22/1 0.03/0.27 * CEs [23] --> Loop 21 0.03/0.27 * CEs [22] --> Loop 22 0.03/0.27 0.03/0.27 ### Ranking functions of CR f22(F) 0.03/0.27 0.03/0.27 #### Partial ranking functions of CR f22(F) 0.03/0.27 0.03/0.27 0.03/0.27 ### Specialization of cost equations f9_loop_cont/6 0.03/0.27 * CE 7 is refined into CE [24,25] 0.03/0.27 * CE 6 is refined into CE [26] 0.03/0.27 0.03/0.27 0.03/0.27 ### Cost equations --> "Loop" of f9_loop_cont/6 0.03/0.27 * CEs [24] --> Loop 23 0.03/0.27 * CEs [26] --> Loop 24 0.03/0.27 * CEs [25] --> Loop 25 0.03/0.27 0.03/0.27 ### Ranking functions of CR f9_loop_cont(A,B,C,D,E,F) 0.03/0.27 0.03/0.27 #### Partial ranking functions of CR f9_loop_cont(A,B,C,D,E,F) 0.03/0.27 0.03/0.27 0.03/0.27 ### Specialization of cost equations f0/5 0.03/0.27 * CE 1 is refined into CE [27,28,29,30,31,32,33,34,35] 0.03/0.27 0.03/0.27 0.03/0.27 ### Cost equations --> "Loop" of f0/5 0.03/0.27 * CEs [30,32,33,34,35] --> Loop 26 0.03/0.27 * CEs [27,28,29,31] --> Loop 27 0.03/0.27 0.03/0.27 ### Ranking functions of CR f0(A,B,C,D,F) 0.03/0.27 0.03/0.27 #### Partial ranking functions of CR f0(A,B,C,D,F) 0.03/0.27 0.03/0.27 0.03/0.27 Computing Bounds 0.03/0.27 ===================================== 0.03/0.27 0.03/0.27 #### Cost of chains of f14(A,C,D,F,G,H,I): 0.03/0.27 * Chain [[13],15]: 1*it(13)+0 0.03/0.27 Such that:it(13) =< C 0.03/0.27 0.03/0.27 with precondition: [F=2,H=0,I=0,0>=A,C>=1] 0.03/0.27 0.03/0.27 * Chain [[13],14]: 1*it(13)+0 0.03/0.27 Such that:it(13) =< C 0.03/0.27 0.03/0.27 with precondition: [F=3,0>=A,C>=1] 0.03/0.27 0.03/0.27 * Chain [15]: 0 0.03/0.27 with precondition: [F=2,I=0,C=H,0>=A,0>=C] 0.03/0.27 0.03/0.27 * Chain [14]: 0 0.03/0.27 with precondition: [F=3,0>=A] 0.03/0.27 0.03/0.27 0.03/0.27 #### Cost of chains of f9(A,B,C,D,F,G,H,I,J): 0.03/0.27 * Chain [[16,17]]...: 3*it(16)+0 0.03/0.27 with precondition: [0>=A,B=0] 0.03/0.27 0.03/0.27 * Chain [[16,17],20]: 3*it(16)+0 0.03/0.27 with precondition: [B=0,D=0,F=3,0>=A] 0.03/0.27 0.03/0.27 * Chain [[16,17],19]: 4*aux(1)+0 0.03/0.27 with precondition: [B=0,D=0,F=3,0>=A] 0.03/0.27 0.03/0.27 * Chain [[16,17],18]: 3*it(16)+0 0.03/0.27 with precondition: [B=0,D=0,F=4,H=0,J=0,0>=A,0>=I,G>=1] 0.03/0.27 0.03/0.27 * Chain [20]: 0 0.03/0.27 with precondition: [B=0,D=0,F=3] 0.03/0.27 0.03/0.27 * Chain [19]: 1*aux(1)+0 0.03/0.27 with precondition: [B=0,D=0,F=3,0>=A] 0.03/0.27 0.03/0.27 * Chain [18]: 0 0.03/0.27 with precondition: [B=0,D=0,F=4,H=0,J=0,I=C,A=G,A>=1] 0.03/0.27 0.03/0.27 0.03/0.27 #### Cost of chains of f22(F): 0.03/0.27 * Chain [[21]]...: 1*it(21)+0 0.03/0.27 with precondition: [F=3] 0.03/0.27 0.03/0.27 * Chain [[21],22]: 1*it(21)+0 0.03/0.27 with precondition: [F=3] 0.03/0.27 0.03/0.27 * Chain [22]: 0 0.03/0.27 with precondition: [F=3] 0.03/0.27 0.03/0.27 0.03/0.27 #### Cost of chains of f9_loop_cont(A,B,C,D,E,F): 0.03/0.27 * Chain [25]...: 1*s(9)+0 0.03/0.27 with precondition: [A=4] 0.03/0.27 0.03/0.27 * Chain [24]: 0 0.03/0.27 with precondition: [A=3] 0.03/0.27 0.03/0.27 * Chain [23]: 1*s(10)+0 0.03/0.27 with precondition: [A=4] 0.03/0.27 0.03/0.27 0.03/0.27 #### Cost of chains of f0(A,B,C,D,F): 0.03/0.27 * Chain [27]: 1*aux(4)+0 0.03/0.27 with precondition: [] 0.03/0.27 0.03/0.27 * Chain [26]...: 1*aux(5)+0 0.03/0.27 with precondition: [] 0.03/0.27 0.03/0.27 0.03/0.27 Closed-form bounds of f0(A,B,C,D,F): 0.03/0.27 ------------------------------------- 0.03/0.27 * Chain [27] with precondition: [] 0.03/0.27 - Upper bound: inf 0.03/0.27 - Complexity: infinity 0.03/0.27 * Chain [26]... with precondition: [] 0.03/0.27 - Upper bound: inf 0.03/0.27 - Complexity: infinity 0.03/0.27 0.03/0.27 ### Maximum cost of f0(A,B,C,D,F): inf 0.03/0.27 Asymptotic class: infinity 0.03/0.27 * Total analysis performed in 203 ms. 0.03/0.27 0.03/0.37 EOF