0.03/0.14 MAYBE 0.03/0.14 0.03/0.14 Preprocessing Cost Relations 0.03/0.14 ===================================== 0.03/0.14 0.03/0.14 #### Computed strongly connected components 0.03/0.14 0. recursive : [f4/4] 0.03/0.14 1. non_recursive : [exit_location/1] 0.03/0.14 2. non_recursive : [f14/3] 0.03/0.14 3. non_recursive : [f4_loop_cont/4] 0.03/0.14 4. non_recursive : [f0/3] 0.03/0.14 0.03/0.14 #### Obtained direct recursion through partial evaluation 0.03/0.14 0. SCC is partially evaluated into f4/4 0.03/0.14 1. SCC is completely evaluated into other SCCs 0.03/0.14 2. SCC is completely evaluated into other SCCs 0.03/0.14 3. SCC is partially evaluated into f4_loop_cont/4 0.03/0.14 4. SCC is partially evaluated into f0/3 0.03/0.14 0.03/0.14 Control-Flow Refinement of Cost Relations 0.03/0.14 ===================================== 0.03/0.14 0.03/0.14 ### Specialization of cost equations f4/4 0.03/0.14 * CE 6 is refined into CE [9] 0.03/0.14 * CE 5 is refined into CE [10] 0.03/0.14 * CE 3 is refined into CE [11] 0.03/0.14 * CE 4 is refined into CE [12] 0.03/0.14 * CE 2 is refined into CE [13] 0.03/0.14 0.03/0.14 0.03/0.14 ### Cost equations --> "Loop" of f4/4 0.03/0.14 * CEs [13] --> Loop 9 0.03/0.14 * CEs [9] --> Loop 10 0.03/0.14 * CEs [10] --> Loop 11 0.03/0.14 * CEs [11] --> Loop 12 0.03/0.14 * CEs [12] --> Loop 13 0.03/0.14 0.03/0.14 ### Ranking functions of CR f4(A,B,D,E) 0.03/0.14 0.03/0.14 #### Partial ranking functions of CR f4(A,B,D,E) 0.03/0.14 0.03/0.14 0.03/0.14 ### Specialization of cost equations f4_loop_cont/4 0.03/0.14 * CE 8 is refined into CE [14] 0.03/0.14 * CE 7 is refined into CE [15] 0.03/0.14 0.03/0.14 0.03/0.14 ### Cost equations --> "Loop" of f4_loop_cont/4 0.03/0.14 * CEs [14] --> Loop 14 0.03/0.14 * CEs [15] --> Loop 15 0.03/0.14 0.03/0.14 ### Ranking functions of CR f4_loop_cont(A,B,C,D) 0.03/0.14 0.03/0.14 #### Partial ranking functions of CR f4_loop_cont(A,B,C,D) 0.03/0.14 0.03/0.14 0.03/0.14 ### Specialization of cost equations f0/3 0.03/0.14 * CE 1 is refined into CE [16,17,18,19,20,21,22,23] 0.03/0.14 0.03/0.14 0.03/0.14 ### Cost equations --> "Loop" of f0/3 0.03/0.14 * CEs [22,23] --> Loop 16 0.03/0.14 * CEs [16,17,18,19,20,21] --> Loop 17 0.03/0.14 0.03/0.14 ### Ranking functions of CR f0(A,B,D) 0.03/0.14 0.03/0.14 #### Partial ranking functions of CR f0(A,B,D) 0.03/0.14 0.03/0.14 0.03/0.14 Computing Bounds 0.03/0.14 ===================================== 0.03/0.14 0.03/0.14 #### Cost of chains of f4(A,B,D,E): 0.03/0.14 * Chain [[9]]...: 1*it(9)+0 0.03/0.14 with precondition: [B>=0] 0.03/0.14 0.03/0.14 * Chain [[9],13]: 1*it(9)+0 0.03/0.14 with precondition: [D=2,0>=A+1,B>=0,E>=B+1] 0.03/0.14 0.03/0.14 * Chain [[9],12]: 1*it(9)+0 0.03/0.14 with precondition: [D=2,A>=0,B>=0,E>=A+1,E>=B+1] 0.03/0.14 0.03/0.14 * Chain [[9],11]: 1*it(9)+0 0.03/0.14 with precondition: [D=2,B>=0,E>=B+1,A>=E] 0.03/0.14 0.03/0.14 * Chain [[9],10]: 1*it(9)+0 0.03/0.14 with precondition: [D=3,B>=0] 0.03/0.14 0.03/0.14 * Chain [13]: 0 0.03/0.14 with precondition: [D=2,B=E,0>=A+1,B>=0] 0.03/0.14 0.03/0.14 * Chain [11]: 0 0.03/0.14 with precondition: [D=2,B=E,B>=0,A>=B] 0.03/0.14 0.03/0.14 * Chain [10]: 0 0.03/0.14 with precondition: [D=3,B>=0] 0.03/0.14 0.03/0.14 0.03/0.14 #### Cost of chains of f4_loop_cont(A,B,C,D): 0.03/0.14 * Chain [15]: 0 0.03/0.14 with precondition: [A=2] 0.03/0.14 0.03/0.14 * Chain [14]: 0 0.03/0.14 with precondition: [A=3] 0.03/0.14 0.03/0.14 0.03/0.14 #### Cost of chains of f0(A,B,D): 0.03/0.14 * Chain [17]: 1*aux(2)+0 0.03/0.14 with precondition: [] 0.03/0.14 0.03/0.14 * Chain [16]...: 1*aux(3)+0 0.03/0.14 with precondition: [] 0.03/0.14 0.03/0.14 0.03/0.14 Closed-form bounds of f0(A,B,D): 0.03/0.14 ------------------------------------- 0.03/0.14 * Chain [17] with precondition: [] 0.03/0.14 - Upper bound: inf 0.03/0.14 - Complexity: infinity 0.03/0.14 * Chain [16]... with precondition: [] 0.03/0.14 - Upper bound: inf 0.03/0.14 - Complexity: infinity 0.03/0.14 0.03/0.14 ### Maximum cost of f0(A,B,D): inf 0.03/0.14 Asymptotic class: infinity 0.03/0.14 * Total analysis performed in 86 ms. 0.03/0.14 0.03/0.25 EOF