0.03/0.15 MAYBE 0.03/0.15 0.03/0.15 Preprocessing Cost Relations 0.03/0.15 ===================================== 0.03/0.15 0.03/0.15 #### Computed strongly connected components 0.03/0.15 0. recursive : [f2/5] 0.03/0.15 1. non_recursive : [exit_location/1] 0.03/0.15 2. non_recursive : [f300/3] 0.03/0.15 3. non_recursive : [f2_loop_cont/4] 0.03/0.15 4. non_recursive : [f3/3] 0.03/0.15 0.03/0.15 #### Obtained direct recursion through partial evaluation 0.03/0.15 0. SCC is partially evaluated into f2/5 0.03/0.15 1. SCC is completely evaluated into other SCCs 0.03/0.15 2. SCC is completely evaluated into other SCCs 0.03/0.15 3. SCC is partially evaluated into f2_loop_cont/4 0.03/0.15 4. SCC is partially evaluated into f3/3 0.03/0.15 0.03/0.15 Control-Flow Refinement of Cost Relations 0.03/0.15 ===================================== 0.03/0.15 0.03/0.15 ### Specialization of cost equations f2/5 0.03/0.15 * CE 7 is refined into CE [10] 0.03/0.15 * CE 5 is refined into CE [11] 0.03/0.15 * CE 4 is refined into CE [12] 0.03/0.15 * CE 6 is refined into CE [13] 0.03/0.15 * CE 3 is refined into CE [14] 0.03/0.15 * CE 2 is refined into CE [15] 0.03/0.15 0.03/0.15 0.03/0.15 ### Cost equations --> "Loop" of f2/5 0.03/0.15 * CEs [14] --> Loop 10 0.03/0.15 * CEs [15] --> Loop 11 0.03/0.15 * CEs [10] --> Loop 12 0.03/0.15 * CEs [11] --> Loop 13 0.03/0.15 * CEs [12] --> Loop 14 0.03/0.15 * CEs [13] --> Loop 15 0.03/0.15 0.03/0.15 ### Ranking functions of CR f2(A,B,E,F,G) 0.03/0.15 0.03/0.15 #### Partial ranking functions of CR f2(A,B,E,F,G) 0.03/0.15 0.03/0.15 0.03/0.15 ### Specialization of cost equations f2_loop_cont/4 0.03/0.15 * CE 9 is refined into CE [16] 0.03/0.15 * CE 8 is refined into CE [17] 0.03/0.15 0.03/0.15 0.03/0.15 ### Cost equations --> "Loop" of f2_loop_cont/4 0.03/0.15 * CEs [16] --> Loop 16 0.03/0.15 * CEs [17] --> Loop 17 0.03/0.15 0.03/0.15 ### Ranking functions of CR f2_loop_cont(A,B,C,D) 0.03/0.15 0.03/0.15 #### Partial ranking functions of CR f2_loop_cont(A,B,C,D) 0.03/0.15 0.03/0.15 0.03/0.15 ### Specialization of cost equations f3/3 0.03/0.15 * CE 1 is refined into CE [18,19,20,21,22,23,24] 0.03/0.15 0.03/0.15 0.03/0.15 ### Cost equations --> "Loop" of f3/3 0.03/0.15 * CEs [23,24] --> Loop 18 0.03/0.15 * CEs [21] --> Loop 19 0.03/0.15 * CEs [20] --> Loop 20 0.03/0.15 * CEs [18] --> Loop 21 0.03/0.15 * CEs [19,22] --> Loop 22 0.03/0.15 0.03/0.15 ### Ranking functions of CR f3(A,B,E) 0.03/0.15 0.03/0.15 #### Partial ranking functions of CR f3(A,B,E) 0.03/0.15 0.03/0.15 0.03/0.15 Computing Bounds 0.03/0.15 ===================================== 0.03/0.15 0.03/0.15 #### Cost of chains of f2(A,B,E,F,G): 0.03/0.15 * Chain [[10,11]]...: 2*it(10)+0 0.03/0.15 with precondition: [] 0.03/0.15 0.03/0.15 * Chain [[10,11],15]: 2*it(10)+0 0.03/0.15 with precondition: [E=2,F=0] 0.03/0.15 0.03/0.15 * Chain [[10,11],14]: 2*it(10)+0 0.03/0.15 with precondition: [E=2,F=0] 0.03/0.15 0.03/0.15 * Chain [[10,11],13]: 2*it(10)+0 0.03/0.15 with precondition: [E=2,F=0] 0.03/0.15 0.03/0.15 * Chain [[10,11],12]: 2*it(10)+0 0.03/0.15 with precondition: [E=3] 0.03/0.15 0.03/0.15 * Chain [15]: 0 0.03/0.15 with precondition: [A=0,E=2,F=0] 0.03/0.15 0.03/0.15 * Chain [14]: 0 0.03/0.15 with precondition: [E=2,F=0,0>=A+1] 0.03/0.15 0.03/0.15 * Chain [13]: 0 0.03/0.15 with precondition: [E=2,F=0,A>=1] 0.03/0.15 0.03/0.15 * Chain [12]: 0 0.03/0.15 with precondition: [E=3] 0.03/0.15 0.03/0.15 0.03/0.15 #### Cost of chains of f2_loop_cont(A,B,C,D): 0.03/0.15 * Chain [17]: 0 0.03/0.15 with precondition: [A=2] 0.03/0.15 0.03/0.15 * Chain [16]: 0 0.03/0.15 with precondition: [A=3] 0.03/0.15 0.03/0.15 0.03/0.15 #### Cost of chains of f3(A,B,E): 0.03/0.15 * Chain [22]: 1*aux(3)+0 0.03/0.15 with precondition: [] 0.03/0.15 0.03/0.15 * Chain [21]: 0 0.03/0.15 with precondition: [A=0] 0.03/0.15 0.03/0.15 * Chain [20]: 0 0.03/0.15 with precondition: [0>=A+1] 0.03/0.15 0.03/0.15 * Chain [19]: 0 0.03/0.15 with precondition: [A>=1] 0.03/0.15 0.03/0.15 * Chain [18]...: 1*aux(4)+0 0.03/0.15 with precondition: [] 0.03/0.15 0.03/0.15 0.03/0.15 Closed-form bounds of f3(A,B,E): 0.03/0.15 ------------------------------------- 0.03/0.15 * Chain [22] with precondition: [] 0.03/0.15 - Upper bound: inf 0.03/0.15 - Complexity: infinity 0.03/0.15 * Chain [21] with precondition: [A=0] 0.03/0.15 - Upper bound: 0 0.03/0.15 - Complexity: constant 0.03/0.15 * Chain [20] with precondition: [0>=A+1] 0.03/0.15 - Upper bound: 0 0.03/0.15 - Complexity: constant 0.03/0.15 * Chain [19] with precondition: [A>=1] 0.03/0.15 - Upper bound: 0 0.03/0.15 - Complexity: constant 0.03/0.15 * Chain [18]... with precondition: [] 0.03/0.15 - Upper bound: inf 0.03/0.15 - Complexity: infinity 0.03/0.15 0.03/0.15 ### Maximum cost of f3(A,B,E): inf 0.03/0.15 Asymptotic class: infinity 0.03/0.15 * Total analysis performed in 88 ms. 0.03/0.15 0.03/0.25 EOF