0.03/0.17 MAYBE 0.03/0.17 0.03/0.17 Preprocessing Cost Relations 0.03/0.17 ===================================== 0.03/0.17 0.03/0.17 #### Computed strongly connected components 0.03/0.17 0. recursive : [f3/5] 0.03/0.17 1. non_recursive : [exit_location/1] 0.03/0.17 2. non_recursive : [f12/3] 0.03/0.17 3. non_recursive : [f3_loop_cont/4] 0.03/0.17 4. non_recursive : [f0/3] 0.03/0.17 0.03/0.17 #### Obtained direct recursion through partial evaluation 0.03/0.17 0. SCC is partially evaluated into f3/5 0.03/0.17 1. SCC is completely evaluated into other SCCs 0.03/0.17 2. SCC is completely evaluated into other SCCs 0.03/0.17 3. SCC is partially evaluated into f3_loop_cont/4 0.03/0.17 4. SCC is partially evaluated into f0/3 0.03/0.17 0.03/0.17 Control-Flow Refinement of Cost Relations 0.03/0.17 ===================================== 0.03/0.17 0.03/0.17 ### Specialization of cost equations f3/5 0.03/0.17 * CE 6 is refined into CE [9] 0.03/0.17 * CE 5 is refined into CE [10] 0.03/0.17 * CE 3 is refined into CE [11] 0.03/0.17 * CE 4 is refined into CE [12] 0.03/0.17 * CE 2 is refined into CE [13] 0.03/0.17 0.03/0.17 0.03/0.17 ### Cost equations --> "Loop" of f3/5 0.03/0.17 * CEs [11] --> Loop 9 0.03/0.17 * CEs [12] --> Loop 10 0.03/0.17 * CEs [13] --> Loop 11 0.03/0.17 * CEs [9] --> Loop 12 0.03/0.17 * CEs [10] --> Loop 13 0.03/0.17 0.03/0.17 ### Ranking functions of CR f3(A,B,D,E,F) 0.03/0.17 * RF of phase [10]: [-A+10] 0.03/0.17 0.03/0.17 #### Partial ranking functions of CR f3(A,B,D,E,F) 0.03/0.17 * Partial RF of phase [9,11]: 0.03/0.17 - RF of loop [9:1]: 0.03/0.17 -A+5 depends on loops [11:1] 0.03/0.17 * Partial RF of phase [10]: 0.03/0.17 - RF of loop [10:1]: 0.03/0.17 -A+10 0.03/0.17 0.03/0.17 0.03/0.17 ### Specialization of cost equations f3_loop_cont/4 0.03/0.17 * CE 8 is refined into CE [14] 0.03/0.17 * CE 7 is refined into CE [15] 0.03/0.17 0.03/0.17 0.03/0.17 ### Cost equations --> "Loop" of f3_loop_cont/4 0.03/0.17 * CEs [14] --> Loop 14 0.03/0.17 * CEs [15] --> Loop 15 0.03/0.17 0.03/0.17 ### Ranking functions of CR f3_loop_cont(A,B,C,D) 0.03/0.17 0.03/0.17 #### Partial ranking functions of CR f3_loop_cont(A,B,C,D) 0.03/0.17 0.03/0.17 0.03/0.17 ### Specialization of cost equations f0/3 0.03/0.17 * CE 1 is refined into CE [16,17,18,19,20,21] 0.03/0.17 0.03/0.17 0.03/0.17 ### Cost equations --> "Loop" of f0/3 0.03/0.17 * CEs [20,21] --> Loop 16 0.03/0.17 * CEs [16,17,18,19] --> Loop 17 0.03/0.17 0.03/0.17 ### Ranking functions of CR f0(A,B,D) 0.03/0.17 0.03/0.17 #### Partial ranking functions of CR f0(A,B,D) 0.03/0.17 0.03/0.17 0.03/0.17 Computing Bounds 0.03/0.17 ===================================== 0.03/0.17 0.03/0.17 #### Cost of chains of f3(A,B,D,E,F): 0.03/0.17 * Chain [[9,11]]...: 2*it(9)+0 0.03/0.17 with precondition: [5>=A] 0.03/0.17 0.03/0.17 * Chain [[9,11],[10],13]: 2*it(9)+1*it(10)+0 0.03/0.17 Such that:it(10) =< 4 0.03/0.17 0.03/0.17 with precondition: [D=2,E=10,F=9,5>=A] 0.03/0.17 0.03/0.17 * Chain [[9,11],[10],12]: 2*it(9)+1*it(10)+0 0.03/0.17 Such that:it(10) =< 4 0.03/0.17 0.03/0.17 with precondition: [D=3,5>=A] 0.03/0.17 0.03/0.17 * Chain [[9,11],13]: 2*it(9)+0 0.03/0.17 with precondition: [D=2,5>=A,E>=10] 0.03/0.17 0.03/0.17 * Chain [[9,11],12]: 2*it(9)+0 0.03/0.17 with precondition: [D=3,5>=A] 0.03/0.17 0.03/0.17 * Chain [12]: 0 0.03/0.17 with precondition: [D=3] 0.03/0.17 0.03/0.17 0.03/0.17 #### Cost of chains of f3_loop_cont(A,B,C,D): 0.03/0.17 * Chain [15]: 0 0.03/0.17 with precondition: [A=2] 0.03/0.17 0.03/0.17 * Chain [14]: 0 0.03/0.17 with precondition: [A=3] 0.03/0.17 0.03/0.17 0.03/0.17 #### Cost of chains of f0(A,B,D): 0.03/0.17 * Chain [17]: 1*aux(2)+0 0.03/0.17 with precondition: [] 0.03/0.17 0.03/0.17 * Chain [16]...: 1*aux(3)+0 0.03/0.17 with precondition: [] 0.03/0.17 0.03/0.17 0.03/0.17 Closed-form bounds of f0(A,B,D): 0.03/0.17 ------------------------------------- 0.03/0.17 * Chain [17] with precondition: [] 0.03/0.17 - Upper bound: inf 0.03/0.17 - Complexity: infinity 0.03/0.17 * Chain [16]... with precondition: [] 0.03/0.17 - Upper bound: inf 0.03/0.17 - Complexity: infinity 0.03/0.17 0.03/0.17 ### Maximum cost of f0(A,B,D): inf 0.03/0.17 Asymptotic class: infinity 0.03/0.17 * Total analysis performed in 116 ms. 0.03/0.17 0.03/0.27 EOF