0.03/0.23 MAYBE 0.03/0.23 0.03/0.23 Preprocessing Cost Relations 0.03/0.23 ===================================== 0.03/0.23 0.03/0.23 #### Computed strongly connected components 0.03/0.23 0. recursive : [f20/5] 0.03/0.23 1. recursive : [f11/3,f14/3,f20_loop_cont/4] 0.03/0.23 2. non_recursive : [exit_location/1] 0.03/0.23 3. non_recursive : [f11_loop_cont/2] 0.03/0.23 4. non_recursive : [f0/4] 0.03/0.23 0.03/0.23 #### Obtained direct recursion through partial evaluation 0.03/0.23 0. SCC is partially evaluated into f20/5 0.03/0.23 1. SCC is partially evaluated into f11/3 0.03/0.23 2. SCC is completely evaluated into other SCCs 0.03/0.23 3. SCC is completely evaluated into other SCCs 0.03/0.23 4. SCC is partially evaluated into f0/4 0.03/0.23 0.03/0.23 Control-Flow Refinement of Cost Relations 0.03/0.23 ===================================== 0.03/0.23 0.03/0.23 ### Specialization of cost equations f20/5 0.03/0.23 * CE 9 is refined into CE [10] 0.03/0.23 * CE 8 is refined into CE [11] 0.03/0.23 * CE 7 is refined into CE [12] 0.03/0.23 0.03/0.23 0.03/0.23 ### Cost equations --> "Loop" of f20/5 0.03/0.23 * CEs [12] --> Loop 10 0.03/0.23 * CEs [10] --> Loop 11 0.03/0.23 * CEs [11] --> Loop 12 0.03/0.23 0.03/0.23 ### Ranking functions of CR f20(A,B,F,G,H) 0.03/0.23 * RF of phase [10]: [A-2] 0.03/0.23 0.03/0.23 #### Partial ranking functions of CR f20(A,B,F,G,H) 0.03/0.23 * Partial RF of phase [10]: 0.03/0.23 - RF of loop [10:1]: 0.03/0.23 A-2 0.03/0.23 0.03/0.23 0.03/0.23 ### Specialization of cost equations f11/3 0.03/0.23 * CE 4 is refined into CE [13,14] 0.03/0.23 * CE 6 is refined into CE [15] 0.03/0.23 * CE 5 is refined into CE [16,17] 0.03/0.23 * CE 3 is refined into CE [18] 0.03/0.23 * CE 2 is refined into CE [19] 0.03/0.23 0.03/0.23 0.03/0.23 ### Cost equations --> "Loop" of f11/3 0.03/0.23 * CEs [17] --> Loop 13 0.03/0.23 * CEs [18] --> Loop 14 0.03/0.23 * CEs [19] --> Loop 15 0.03/0.23 * CEs [16] --> Loop 16 0.03/0.23 * CEs [14] --> Loop 17 0.03/0.23 * CEs [13] --> Loop 18 0.03/0.23 * CEs [15] --> Loop 19 0.03/0.23 0.03/0.23 ### Ranking functions of CR f11(A,B,F) 0.03/0.23 0.03/0.23 #### Partial ranking functions of CR f11(A,B,F) 0.03/0.23 * Partial RF of phase [13,15,16]: 0.03/0.23 - RF of loop [15:1]: 0.03/0.23 -A+6 depends on loops [16:1] 0.03/0.23 - RF of loop [16:1]: 0.03/0.23 A-2 depends on loops [15:1] 0.03/0.23 0.03/0.23 0.03/0.23 ### Specialization of cost equations f0/4 0.03/0.23 * CE 1 is refined into CE [20,21,22,23,24,25,26,27] 0.03/0.23 0.03/0.23 0.03/0.23 ### Cost equations --> "Loop" of f0/4 0.03/0.23 * CEs [25,26,27] --> Loop 20 0.03/0.23 * CEs [20,21,22,23,24] --> Loop 21 0.03/0.23 0.03/0.23 ### Ranking functions of CR f0(A,B,C,F) 0.03/0.23 0.03/0.23 #### Partial ranking functions of CR f0(A,B,C,F) 0.03/0.23 0.03/0.23 0.03/0.23 Computing Bounds 0.03/0.23 ===================================== 0.03/0.23 0.03/0.24 #### Cost of chains of f20(A,B,F,G,H): 0.03/0.24 * Chain [[10],12]: 1*it(10)+0 0.03/0.24 Such that:it(10) =< A 0.03/0.24 0.03/0.24 with precondition: [F=2,G=2,5>=A,A>=3,B>=1] 0.03/0.24 0.03/0.24 * Chain [[10],11]: 1*it(10)+0 0.03/0.24 Such that:it(10) =< A 0.03/0.24 0.03/0.24 with precondition: [F=3,5>=A,A>=3,B>=1] 0.03/0.24 0.03/0.24 * Chain [12]: 0 0.03/0.24 with precondition: [F=2,A=G,2>=A,B>=1] 0.03/0.24 0.03/0.24 * Chain [11]: 0 0.03/0.24 with precondition: [F=3,5>=A,B>=1] 0.03/0.24 0.03/0.24 0.03/0.24 #### Cost of chains of f11(A,B,F): 0.03/0.24 * Chain [[14]]...: 1*it(14)+0 0.03/0.24 with precondition: [A>=6,F=3] 0.03/0.24 0.03/0.24 * Chain [[14],19]: 1*it(14)+0 0.03/0.24 with precondition: [F=3,A>=6] 0.03/0.24 0.03/0.24 * Chain [[13,15,16]]...: 4*it(13)+0 0.03/0.24 with precondition: [5>=A,F=3] 0.03/0.24 0.03/0.24 * Chain [[13,15,16],[14]]...: 5*it(13)+0 0.03/0.24 with precondition: [F=3,5>=A] 0.03/0.24 0.03/0.24 * Chain [[13,15,16],[14],19]: 5*it(13)+0 0.03/0.24 with precondition: [F=3,5>=A] 0.03/0.24 0.03/0.24 * Chain [[13,15,16],19]: 4*it(13)+0 0.03/0.24 with precondition: [F=3,5>=A] 0.03/0.24 0.03/0.24 * Chain [[13,15,16],18]: 4*it(13)+1*s(4)+0 0.03/0.24 Such that:s(4) =< 5 0.03/0.24 0.03/0.24 with precondition: [F=3,5>=A] 0.03/0.24 0.03/0.24 * Chain [[13,15,16],17]: 4*it(13)+0 0.03/0.24 with precondition: [F=3,5>=A] 0.03/0.24 0.03/0.24 * Chain [19]: 0 0.03/0.24 with precondition: [F=3] 0.03/0.24 0.03/0.24 * Chain [18]: 1*s(4)+0 0.03/0.24 Such that:s(4) =< A 0.03/0.24 0.03/0.24 with precondition: [F=3,5>=A,A>=3,B>=1] 0.03/0.24 0.03/0.24 * Chain [17]: 0 0.03/0.24 with precondition: [F=3,5>=A,B>=1] 0.03/0.24 0.03/0.24 0.03/0.24 #### Cost of chains of f0(A,B,C,F): 0.03/0.24 * Chain [21]: 1*aux(9)+0 0.03/0.24 with precondition: [] 0.03/0.24 0.03/0.24 * Chain [20]...: 1*aux(10)+0 0.03/0.24 with precondition: [] 0.03/0.24 0.03/0.24 0.03/0.24 Closed-form bounds of f0(A,B,C,F): 0.03/0.24 ------------------------------------- 0.03/0.24 * Chain [21] with precondition: [] 0.03/0.24 - Upper bound: inf 0.03/0.24 - Complexity: infinity 0.03/0.24 * Chain [20]... with precondition: [] 0.03/0.24 - Upper bound: inf 0.03/0.24 - Complexity: infinity 0.03/0.24 0.03/0.24 ### Maximum cost of f0(A,B,C,F): inf 0.03/0.24 Asymptotic class: infinity 0.03/0.24 * Total analysis performed in 172 ms. 0.03/0.24 0.03/0.34 EOF