0.03/0.24 MAYBE 0.03/0.24 0.03/0.24 Preprocessing Cost Relations 0.03/0.24 ===================================== 0.03/0.24 0.03/0.24 #### Computed strongly connected components 0.03/0.24 0. recursive : [f20/3] 0.03/0.24 1. recursive : [f12/3,f20_loop_cont/4,f9/3] 0.03/0.24 2. non_recursive : [exit_location/1] 0.03/0.24 3. non_recursive : [f9_loop_cont/2] 0.03/0.24 4. non_recursive : [f0/3] 0.03/0.24 0.03/0.24 #### Obtained direct recursion through partial evaluation 0.03/0.24 0. SCC is partially evaluated into f20/3 0.03/0.24 1. SCC is partially evaluated into f9/3 0.03/0.24 2. SCC is completely evaluated into other SCCs 0.03/0.24 3. SCC is completely evaluated into other SCCs 0.03/0.24 4. SCC is partially evaluated into f0/3 0.03/0.24 0.03/0.24 Control-Flow Refinement of Cost Relations 0.03/0.24 ===================================== 0.03/0.24 0.03/0.24 ### Specialization of cost equations f20/3 0.03/0.24 * CE 11 is refined into CE [12] 0.03/0.24 * CE 10 is refined into CE [13] 0.03/0.24 * CE 9 is refined into CE [14] 0.03/0.24 0.03/0.24 0.03/0.24 ### Cost equations --> "Loop" of f20/3 0.03/0.24 * CEs [14] --> Loop 12 0.03/0.24 * CEs [12] --> Loop 13 0.03/0.24 * CEs [13] --> Loop 14 0.03/0.24 0.03/0.24 ### Ranking functions of CR f20(A,D,E) 0.03/0.24 * RF of phase [12]: [A-2] 0.03/0.24 0.03/0.24 #### Partial ranking functions of CR f20(A,D,E) 0.03/0.24 * Partial RF of phase [12]: 0.03/0.24 - RF of loop [12:1]: 0.03/0.24 A-2 0.03/0.24 0.03/0.24 0.03/0.24 ### Specialization of cost equations f9/3 0.03/0.24 * CE 4 is refined into CE [15,16] 0.03/0.24 * CE 5 is refined into CE [17,18] 0.03/0.24 * CE 8 is refined into CE [19] 0.03/0.24 * CE 6 is refined into CE [20] 0.03/0.24 * CE 2 is refined into CE [21] 0.03/0.24 * CE 3 is refined into CE [22] 0.03/0.24 * CE 7 is refined into CE [23,24] 0.03/0.24 0.03/0.24 0.03/0.24 ### Cost equations --> "Loop" of f9/3 0.03/0.24 * CEs [21] --> Loop 15 0.03/0.24 * CEs [22] --> Loop 16 0.03/0.24 * CEs [24] --> Loop 17 0.03/0.24 * CEs [20] --> Loop 18 0.03/0.24 * CEs [23] --> Loop 19 0.03/0.24 * CEs [15,16] --> Loop 20 0.03/0.24 * CEs [18] --> Loop 21 0.03/0.24 * CEs [17] --> Loop 22 0.03/0.24 * CEs [19] --> Loop 23 0.03/0.24 0.03/0.24 ### Ranking functions of CR f9(A,B,D) 0.03/0.24 0.03/0.24 #### Partial ranking functions of CR f9(A,B,D) 0.03/0.24 * Partial RF of phase [15,16,17,18,19]: 0.03/0.24 - RF of loop [15:1,16:1]: 0.03/0.24 -A+6 depends on loops [18:1,19:1] 0.03/0.24 - RF of loop [18:1]: 0.03/0.24 A/2-5/2 depends on loops [15:1,16:1] 0.03/0.24 - RF of loop [19:1]: 0.03/0.24 A-2 depends on loops [15:1,16:1] 0.03/0.24 0.03/0.24 0.03/0.24 ### Specialization of cost equations f0/3 0.03/0.24 * CE 1 is refined into CE [25,26,27,28,29] 0.03/0.24 0.03/0.24 0.03/0.24 ### Cost equations --> "Loop" of f0/3 0.03/0.24 * CEs [29] --> Loop 24 0.03/0.24 * CEs [25,26,27,28] --> Loop 25 0.03/0.24 0.03/0.24 ### Ranking functions of CR f0(A,B,D) 0.03/0.24 0.03/0.24 #### Partial ranking functions of CR f0(A,B,D) 0.03/0.24 0.03/0.24 0.03/0.24 Computing Bounds 0.03/0.24 ===================================== 0.03/0.24 0.03/0.24 #### Cost of chains of f20(A,D,E): 0.03/0.24 * Chain [[12],14]: 1*it(12)+0 0.03/0.24 Such that:it(12) =< A 0.03/0.24 0.03/0.24 with precondition: [D=2,E=2,A>=3] 0.03/0.24 0.03/0.24 * Chain [[12],13]: 1*it(12)+0 0.03/0.24 Such that:it(12) =< A 0.03/0.24 0.03/0.24 with precondition: [D=3,A>=3] 0.03/0.24 0.03/0.24 * Chain [14]: 0 0.03/0.24 with precondition: [D=2,A=E,2>=A] 0.03/0.24 0.03/0.24 * Chain [13]: 0 0.03/0.24 with precondition: [D=3] 0.03/0.24 0.03/0.24 0.03/0.24 #### Cost of chains of f9(A,B,D): 0.03/0.24 * Chain [[15,16,17,18,19]]...: 7*it(15)+0 0.03/0.24 with precondition: [D=3] 0.03/0.24 0.03/0.24 * Chain [[15,16,17,18,19],23]: 7*it(15)+0 0.03/0.24 with precondition: [D=3] 0.03/0.24 0.03/0.24 * Chain [[15,16,17,18,19],22]: 7*it(15)+0 0.03/0.24 with precondition: [D=3] 0.03/0.24 0.03/0.24 * Chain [[15,16,17,18,19],21]: 7*it(15)+1*s(7)+0 0.03/0.24 Such that:s(7) =< 5 0.03/0.24 0.03/0.24 with precondition: [D=3] 0.03/0.24 0.03/0.24 * Chain [[15,16,17,18,19],20]: 7*it(15)+1*s(8)+0 0.03/0.24 Such that:s(8) =< 6 0.03/0.24 0.03/0.24 with precondition: [D=3] 0.03/0.24 0.03/0.24 * Chain [23]: 0 0.03/0.24 with precondition: [D=3] 0.03/0.24 0.03/0.24 * Chain [22]: 0 0.03/0.24 with precondition: [D=3,5>=A] 0.03/0.24 0.03/0.24 * Chain [21]: 1*s(7)+0 0.03/0.24 Such that:s(7) =< A 0.03/0.24 0.03/0.24 with precondition: [D=3,5>=A,A>=3] 0.03/0.24 0.03/0.24 * Chain [20]: 1*s(8)+0 0.03/0.24 Such that:s(8) =< A 0.03/0.24 0.03/0.24 with precondition: [D=3,A>=6] 0.03/0.24 0.03/0.24 0.03/0.24 #### Cost of chains of f0(A,B,D): 0.03/0.24 * Chain [25]: 1*aux(17)+0 0.03/0.24 with precondition: [] 0.03/0.24 0.03/0.24 * Chain [24]...: 7*s(18)+0 0.03/0.24 with precondition: [] 0.03/0.24 0.03/0.24 0.03/0.24 Closed-form bounds of f0(A,B,D): 0.03/0.24 ------------------------------------- 0.03/0.24 * Chain [25] with precondition: [] 0.03/0.24 - Upper bound: inf 0.03/0.24 - Complexity: infinity 0.03/0.24 * Chain [24]... with precondition: [] 0.03/0.24 - Upper bound: inf 0.03/0.24 - Complexity: infinity 0.03/0.24 0.03/0.24 ### Maximum cost of f0(A,B,D): inf 0.03/0.24 Asymptotic class: infinity 0.03/0.24 * Total analysis performed in 173 ms. 0.03/0.24 0.03/0.34 EOF