0.04/0.20 MAYBE 0.04/0.20 0.04/0.20 Preprocessing Cost Relations 0.04/0.20 ===================================== 0.04/0.20 0.04/0.20 #### Computed strongly connected components 0.04/0.20 0. recursive : [f2/6] 0.04/0.20 1. non_recursive : [exit_location/1] 0.04/0.20 2. non_recursive : [f300/4] 0.04/0.20 3. non_recursive : [f2_loop_cont/5] 0.04/0.20 4. non_recursive : [f3/4] 0.04/0.20 0.04/0.20 #### Obtained direct recursion through partial evaluation 0.04/0.20 0. SCC is partially evaluated into f2/6 0.04/0.20 1. SCC is completely evaluated into other SCCs 0.04/0.20 2. SCC is completely evaluated into other SCCs 0.04/0.20 3. SCC is partially evaluated into f2_loop_cont/5 0.04/0.20 4. SCC is partially evaluated into f3/4 0.04/0.20 0.04/0.20 Control-Flow Refinement of Cost Relations 0.04/0.20 ===================================== 0.04/0.20 0.04/0.20 ### Specialization of cost equations f2/6 0.04/0.20 * CE 9 is refined into CE [12] 0.04/0.20 * CE 7 is refined into CE [13] 0.04/0.20 * CE 6 is refined into CE [14] 0.04/0.20 * CE 8 is refined into CE [15] 0.04/0.20 * CE 4 is refined into CE [16] 0.04/0.20 * CE 5 is refined into CE [17] 0.04/0.20 * CE 3 is refined into CE [18] 0.04/0.20 * CE 2 is refined into CE [19] 0.04/0.20 0.04/0.20 0.04/0.20 ### Cost equations --> "Loop" of f2/6 0.04/0.20 * CEs [16] --> Loop 12 0.04/0.20 * CEs [17] --> Loop 13 0.04/0.20 * CEs [18] --> Loop 14 0.04/0.20 * CEs [19] --> Loop 15 0.04/0.20 * CEs [12] --> Loop 16 0.04/0.20 * CEs [13] --> Loop 17 0.04/0.20 * CEs [14] --> Loop 18 0.04/0.20 * CEs [15] --> Loop 19 0.04/0.20 0.04/0.20 ### Ranking functions of CR f2(A,B,C,F,G,H) 0.04/0.20 0.04/0.20 #### Partial ranking functions of CR f2(A,B,C,F,G,H) 0.04/0.20 0.04/0.20 0.04/0.20 ### Specialization of cost equations f2_loop_cont/5 0.04/0.20 * CE 11 is refined into CE [20] 0.04/0.20 * CE 10 is refined into CE [21] 0.04/0.20 0.04/0.20 0.04/0.20 ### Cost equations --> "Loop" of f2_loop_cont/5 0.04/0.20 * CEs [20] --> Loop 20 0.04/0.20 * CEs [21] --> Loop 21 0.04/0.20 0.04/0.20 ### Ranking functions of CR f2_loop_cont(A,B,C,D,E) 0.04/0.20 0.04/0.20 #### Partial ranking functions of CR f2_loop_cont(A,B,C,D,E) 0.04/0.20 0.04/0.20 0.04/0.20 ### Specialization of cost equations f3/4 0.04/0.20 * CE 1 is refined into CE [22,23,24,25,26,27,28] 0.04/0.20 0.04/0.20 0.04/0.20 ### Cost equations --> "Loop" of f3/4 0.04/0.20 * CEs [27,28] --> Loop 22 0.04/0.20 * CEs [25] --> Loop 23 0.04/0.20 * CEs [24] --> Loop 24 0.04/0.20 * CEs [22] --> Loop 25 0.04/0.20 * CEs [23,26] --> Loop 26 0.04/0.20 0.04/0.20 ### Ranking functions of CR f3(A,B,C,F) 0.04/0.20 0.04/0.20 #### Partial ranking functions of CR f3(A,B,C,F) 0.04/0.20 0.04/0.20 0.04/0.20 Computing Bounds 0.04/0.20 ===================================== 0.04/0.20 0.04/0.20 #### Cost of chains of f2(A,B,C,F,G,H): 0.04/0.20 * Chain [[12,13,14,15]]...: 4*it(12)+0 0.04/0.20 with precondition: [] 0.04/0.20 0.04/0.20 * Chain [[12,13,14,15],19]: 4*it(12)+0 0.04/0.20 with precondition: [F=2,G=0] 0.04/0.20 0.04/0.20 * Chain [[12,13,14,15],18]: 4*it(12)+0 0.04/0.20 with precondition: [F=2,G=0] 0.04/0.20 0.04/0.20 * Chain [[12,13,14,15],17]: 4*it(12)+0 0.04/0.20 with precondition: [F=2,G=0] 0.04/0.20 0.04/0.20 * Chain [[12,13,14,15],16]: 4*it(12)+0 0.04/0.20 with precondition: [F=3] 0.04/0.20 0.04/0.20 * Chain [19]: 0 0.04/0.20 with precondition: [A=0,F=2,G=0] 0.04/0.20 0.04/0.20 * Chain [18]: 0 0.04/0.20 with precondition: [F=2,G=0,0>=A+1] 0.04/0.20 0.04/0.20 * Chain [17]: 0 0.04/0.20 with precondition: [F=2,G=0,A>=1] 0.04/0.20 0.04/0.20 * Chain [16]: 0 0.04/0.20 with precondition: [F=3] 0.04/0.20 0.04/0.20 0.04/0.20 #### Cost of chains of f2_loop_cont(A,B,C,D,E): 0.04/0.20 * Chain [21]: 0 0.04/0.20 with precondition: [A=2] 0.04/0.20 0.04/0.20 * Chain [20]: 0 0.04/0.20 with precondition: [A=3] 0.04/0.20 0.04/0.20 0.04/0.20 #### Cost of chains of f3(A,B,C,F): 0.04/0.20 * Chain [26]: 1*aux(3)+0 0.04/0.20 with precondition: [] 0.04/0.20 0.04/0.20 * Chain [25]: 0 0.04/0.20 with precondition: [A=0] 0.04/0.20 0.04/0.20 * Chain [24]: 0 0.04/0.20 with precondition: [0>=A+1] 0.04/0.20 0.04/0.20 * Chain [23]: 0 0.04/0.20 with precondition: [A>=1] 0.04/0.20 0.04/0.20 * Chain [22]...: 1*aux(4)+0 0.04/0.20 with precondition: [] 0.04/0.20 0.04/0.20 0.04/0.20 Closed-form bounds of f3(A,B,C,F): 0.04/0.20 ------------------------------------- 0.04/0.20 * Chain [26] with precondition: [] 0.04/0.20 - Upper bound: inf 0.04/0.20 - Complexity: infinity 0.04/0.20 * Chain [25] with precondition: [A=0] 0.04/0.20 - Upper bound: 0 0.04/0.20 - Complexity: constant 0.04/0.20 * Chain [24] with precondition: [0>=A+1] 0.04/0.20 - Upper bound: 0 0.04/0.20 - Complexity: constant 0.04/0.20 * Chain [23] with precondition: [A>=1] 0.04/0.20 - Upper bound: 0 0.04/0.20 - Complexity: constant 0.04/0.20 * Chain [22]... with precondition: [] 0.04/0.20 - Upper bound: inf 0.04/0.20 - Complexity: infinity 0.04/0.20 0.04/0.20 ### Maximum cost of f3(A,B,C,F): inf 0.04/0.20 Asymptotic class: infinity 0.04/0.20 * Total analysis performed in 139 ms. 0.04/0.20 0.04/0.30 EOF