0.03/0.12 MAYBE 0.03/0.12 0.03/0.12 Preprocessing Cost Relations 0.03/0.12 ===================================== 0.03/0.12 0.03/0.12 #### Computed strongly connected components 0.03/0.12 0. recursive : [f2/4] 0.03/0.12 1. non_recursive : [exit_location/1] 0.03/0.12 2. non_recursive : [f2_loop_cont/2] 0.03/0.12 3. non_recursive : [f300/5] 0.03/0.12 4. non_recursive : [f1/5] 0.03/0.12 0.03/0.12 #### Obtained direct recursion through partial evaluation 0.03/0.12 0. SCC is partially evaluated into f2/4 0.03/0.12 1. SCC is completely evaluated into other SCCs 0.03/0.12 2. SCC is completely evaluated into other SCCs 0.03/0.12 3. SCC is completely evaluated into other SCCs 0.03/0.12 4. SCC is partially evaluated into f1/5 0.03/0.12 0.03/0.12 Control-Flow Refinement of Cost Relations 0.03/0.12 ===================================== 0.03/0.12 0.03/0.12 ### Specialization of cost equations f2/4 0.03/0.12 * CE 6 is refined into CE [7] 0.03/0.12 * CE 5 is refined into CE [8] 0.03/0.12 0.03/0.12 0.03/0.12 ### Cost equations --> "Loop" of f2/4 0.03/0.12 * CEs [8] --> Loop 7 0.03/0.12 * CEs [7] --> Loop 8 0.03/0.12 0.03/0.12 ### Ranking functions of CR f2(A,B,C,F) 0.03/0.12 0.03/0.12 #### Partial ranking functions of CR f2(A,B,C,F) 0.03/0.12 0.03/0.12 0.03/0.12 ### Specialization of cost equations f1/5 0.03/0.12 * CE 3 is refined into CE [9] 0.03/0.12 * CE 2 is refined into CE [10] 0.03/0.12 * CE 1 is refined into CE [11] 0.03/0.12 * CE 4 is refined into CE [12,13,14] 0.03/0.12 0.03/0.12 0.03/0.12 ### Cost equations --> "Loop" of f1/5 0.03/0.12 * CEs [14] --> Loop 9 0.03/0.12 * CEs [9] --> Loop 10 0.03/0.12 * CEs [10] --> Loop 11 0.03/0.12 * CEs [11] --> Loop 12 0.03/0.12 * CEs [12,13] --> Loop 13 0.03/0.12 0.03/0.12 ### Ranking functions of CR f1(A,B,C,D,F) 0.03/0.12 0.03/0.12 #### Partial ranking functions of CR f1(A,B,C,D,F) 0.03/0.12 0.03/0.12 0.03/0.12 Computing Bounds 0.03/0.12 ===================================== 0.03/0.12 0.03/0.12 #### Cost of chains of f2(A,B,C,F): 0.03/0.12 * Chain [[7]]...: 1*it(7)+0 0.03/0.12 with precondition: [A=B,A>=C,F=2] 0.03/0.12 0.03/0.12 * Chain [[7],8]: 1*it(7)+0 0.03/0.12 with precondition: [F=2,A=B,A>=C] 0.03/0.12 0.03/0.12 * Chain [8]: 0 0.03/0.12 with precondition: [F=2,B=A,B>=C] 0.03/0.12 0.03/0.12 0.03/0.12 #### Cost of chains of f1(A,B,C,D,F): 0.03/0.12 * Chain [13]: 1*aux(1)+0 0.03/0.12 with precondition: [A=B,A=C] 0.03/0.12 0.03/0.12 * Chain [12]: 0 0.03/0.12 with precondition: [B>=A,C>=A+1,C>=B] 0.03/0.12 0.03/0.12 * Chain [11]: 0 0.03/0.12 with precondition: [B>=A,B>=C+1] 0.03/0.12 0.03/0.12 * Chain [10]: 0 0.03/0.12 with precondition: [A>=B+1] 0.03/0.12 0.03/0.12 * Chain [9]...: 1*s(2)+0 0.03/0.12 with precondition: [A=B,A=C] 0.03/0.12 0.03/0.12 0.03/0.12 Closed-form bounds of f1(A,B,C,D,F): 0.03/0.12 ------------------------------------- 0.03/0.12 * Chain [13] with precondition: [A=B,A=C] 0.03/0.12 - Upper bound: inf 0.03/0.12 - Complexity: infinity 0.03/0.12 * Chain [12] with precondition: [B>=A,C>=A+1,C>=B] 0.03/0.12 - Upper bound: 0 0.03/0.12 - Complexity: constant 0.03/0.12 * Chain [11] with precondition: [B>=A,B>=C+1] 0.03/0.12 - Upper bound: 0 0.03/0.12 - Complexity: constant 0.03/0.12 * Chain [10] with precondition: [A>=B+1] 0.03/0.12 - Upper bound: 0 0.03/0.12 - Complexity: constant 0.03/0.12 * Chain [9]... with precondition: [A=B,A=C] 0.03/0.12 - Upper bound: inf 0.03/0.12 - Complexity: infinity 0.03/0.12 0.03/0.12 ### Maximum cost of f1(A,B,C,D,F): inf 0.03/0.12 Asymptotic class: infinity 0.03/0.12 * Total analysis performed in 61 ms. 0.03/0.12 0.03/0.22 EOF