0.03/0.13 MAYBE 0.03/0.13 0.03/0.13 Preprocessing Cost Relations 0.03/0.13 ===================================== 0.03/0.13 0.03/0.13 #### Computed strongly connected components 0.03/0.13 0. recursive : [f2/6] 0.03/0.13 1. non_recursive : [exit_location/1] 0.03/0.13 2. non_recursive : [f1/4] 0.03/0.13 3. non_recursive : [f2_loop_cont/5] 0.03/0.13 4. non_recursive : [f300/4] 0.03/0.13 0.03/0.13 #### Obtained direct recursion through partial evaluation 0.03/0.13 0. SCC is partially evaluated into f2/6 0.03/0.13 1. SCC is completely evaluated into other SCCs 0.03/0.13 2. SCC is completely evaluated into other SCCs 0.03/0.13 3. SCC is partially evaluated into f2_loop_cont/5 0.03/0.13 4. SCC is partially evaluated into f300/4 0.03/0.13 0.03/0.13 Control-Flow Refinement of Cost Relations 0.03/0.13 ===================================== 0.03/0.13 0.03/0.13 ### Specialization of cost equations f2/6 0.03/0.13 * CE 4 is refined into CE [7] 0.03/0.13 * CE 2 is refined into CE [8] 0.03/0.13 * CE 3 is refined into CE [9] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of f2/6 0.03/0.13 * CEs [9] --> Loop 7 0.03/0.13 * CEs [7] --> Loop 8 0.03/0.13 * CEs [8] --> Loop 9 0.03/0.13 0.03/0.13 ### Ranking functions of CR f2(A,B,C,E,F,G) 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f2(A,B,C,E,F,G) 0.03/0.13 0.03/0.13 0.03/0.13 ### Specialization of cost equations f2_loop_cont/5 0.03/0.13 * CE 6 is refined into CE [10] 0.03/0.13 * CE 5 is refined into CE [11] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of f2_loop_cont/5 0.03/0.13 * CEs [10] --> Loop 10 0.03/0.13 * CEs [11] --> Loop 11 0.03/0.13 0.03/0.13 ### Ranking functions of CR f2_loop_cont(A,B,C,D,E) 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f2_loop_cont(A,B,C,D,E) 0.03/0.13 0.03/0.13 0.03/0.13 ### Specialization of cost equations f300/4 0.03/0.13 * CE 1 is refined into CE [12,13,14,15,16,17] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of f300/4 0.03/0.13 * CEs [16,17] --> Loop 12 0.03/0.13 * CEs [15] --> Loop 13 0.03/0.13 * CEs [12] --> Loop 14 0.03/0.13 * CEs [13] --> Loop 15 0.03/0.13 * CEs [14] --> Loop 16 0.03/0.13 0.03/0.13 ### Ranking functions of CR f300(A,B,C,E) 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f300(A,B,C,E) 0.03/0.13 0.03/0.13 0.03/0.13 Computing Bounds 0.03/0.13 ===================================== 0.03/0.13 0.03/0.13 #### Cost of chains of f2(A,B,C,E,F,G): 0.03/0.13 * Chain [[7]]...: 1*it(7)+0 0.03/0.13 with precondition: [A+B>=0] 0.03/0.13 0.03/0.13 * Chain [[7],9]: 1*it(7)+0 0.03/0.13 with precondition: [E=2,0>=F+1,F>=B,A+2*B>=F] 0.03/0.13 0.03/0.13 * Chain [[7],8]: 1*it(7)+0 0.03/0.13 with precondition: [E=3,A+B>=0] 0.03/0.13 0.03/0.13 * Chain [9]: 0 0.03/0.13 with precondition: [E=2,A+B=F,0>=A+B+1] 0.03/0.13 0.03/0.13 * Chain [8]: 0 0.03/0.13 with precondition: [E=3] 0.03/0.13 0.03/0.13 0.03/0.13 #### Cost of chains of f2_loop_cont(A,B,C,D,E): 0.03/0.13 * Chain [11]: 0 0.03/0.13 with precondition: [A=2] 0.03/0.13 0.03/0.13 * Chain [10]: 0 0.03/0.13 with precondition: [A=3] 0.03/0.13 0.03/0.13 0.03/0.13 #### Cost of chains of f300(A,B,C,E): 0.03/0.13 * Chain [16]: 0 0.03/0.13 with precondition: [] 0.03/0.13 0.03/0.13 * Chain [15]: 1*s(1)+0 0.03/0.13 with precondition: [0>=B+1,A+B>=0] 0.03/0.13 0.03/0.13 * Chain [14]: 0 0.03/0.13 with precondition: [0>=A+B+1] 0.03/0.13 0.03/0.13 * Chain [13]: 1*s(2)+0 0.03/0.13 with precondition: [A+B>=0] 0.03/0.13 0.03/0.13 * Chain [12]...: 1*aux(1)+0 0.03/0.13 with precondition: [A+B>=0] 0.03/0.13 0.03/0.13 0.03/0.13 Closed-form bounds of f300(A,B,C,E): 0.03/0.13 ------------------------------------- 0.03/0.13 * Chain [16] with precondition: [] 0.03/0.13 - Upper bound: 0 0.03/0.13 - Complexity: constant 0.03/0.13 * Chain [15] with precondition: [0>=B+1,A+B>=0] 0.03/0.13 - Upper bound: inf 0.03/0.13 - Complexity: infinity 0.03/0.13 * Chain [14] with precondition: [0>=A+B+1] 0.03/0.13 - Upper bound: 0 0.03/0.13 - Complexity: constant 0.03/0.13 * Chain [13] with precondition: [A+B>=0] 0.03/0.13 - Upper bound: inf 0.03/0.13 - Complexity: infinity 0.03/0.13 * Chain [12]... with precondition: [A+B>=0] 0.03/0.13 - Upper bound: inf 0.03/0.13 - Complexity: infinity 0.03/0.13 0.03/0.13 ### Maximum cost of f300(A,B,C,E): inf 0.03/0.13 Asymptotic class: infinity 0.03/0.13 * Total analysis performed in 72 ms. 0.03/0.13 0.03/0.23 EOF