0.03/0.12 MAYBE 0.03/0.12 0.03/0.12 Preprocessing Cost Relations 0.03/0.12 ===================================== 0.03/0.12 0.03/0.12 #### Computed strongly connected components 0.03/0.12 0. recursive : [f2/4] 0.03/0.12 1. non_recursive : [exit_location/1] 0.03/0.12 2. non_recursive : [f2_loop_cont/2] 0.03/0.12 3. non_recursive : [f0/4] 0.03/0.12 0.03/0.12 #### Obtained direct recursion through partial evaluation 0.03/0.12 0. SCC is partially evaluated into f2/4 0.03/0.12 1. SCC is completely evaluated into other SCCs 0.03/0.12 2. SCC is completely evaluated into other SCCs 0.03/0.12 3. SCC is partially evaluated into f0/4 0.03/0.12 0.03/0.12 Control-Flow Refinement of Cost Relations 0.03/0.12 ===================================== 0.03/0.12 0.03/0.12 ### Specialization of cost equations f2/4 0.03/0.12 * CE 4 is refined into CE [5] 0.03/0.12 * CE 2 is refined into CE [6] 0.03/0.12 * CE 3 is refined into CE [7] 0.03/0.12 0.03/0.12 0.03/0.12 ### Cost equations --> "Loop" of f2/4 0.03/0.12 * CEs [6] --> Loop 5 0.03/0.12 * CEs [7] --> Loop 6 0.03/0.12 * CEs [5] --> Loop 7 0.03/0.12 0.03/0.12 ### Ranking functions of CR f2(A,B,C,D) 0.03/0.12 0.03/0.12 #### Partial ranking functions of CR f2(A,B,C,D) 0.03/0.12 * Partial RF of phase [5,6]: 0.03/0.12 - RF of loop [5:1]: 0.03/0.12 A 0.03/0.12 0.03/0.12 0.03/0.12 ### Specialization of cost equations f0/4 0.03/0.12 * CE 1 is refined into CE [8,9] 0.03/0.12 0.03/0.12 0.03/0.12 ### Cost equations --> "Loop" of f0/4 0.03/0.12 * CEs [9] --> Loop 8 0.03/0.12 * CEs [8] --> Loop 9 0.03/0.12 0.03/0.12 ### Ranking functions of CR f0(A,B,C,D) 0.03/0.12 0.03/0.12 #### Partial ranking functions of CR f0(A,B,C,D) 0.03/0.12 0.03/0.12 0.03/0.12 Computing Bounds 0.03/0.12 ===================================== 0.03/0.12 0.03/0.12 #### Cost of chains of f2(A,B,C,D): 0.03/0.12 * Chain [[5,6]]...: 1*it(5)+1*it(6)+0 0.03/0.12 Such that:it(5) =< A 0.03/0.12 0.03/0.12 with precondition: [A>=0,B>=C,D=2] 0.03/0.12 0.03/0.12 * Chain [[5,6],7]: 1*it(5)+1*it(6)+0 0.03/0.12 Such that:it(5) =< A 0.03/0.12 0.03/0.12 with precondition: [D=2,A>=0,B>=C] 0.03/0.12 0.03/0.12 * Chain [7]: 0 0.03/0.12 with precondition: [D=2,A>=0,B>=C] 0.03/0.12 0.03/0.12 0.03/0.12 #### Cost of chains of f0(A,B,C,D): 0.03/0.12 * Chain [9]: 1*s(3)+1*s(4)+0 0.03/0.12 Such that:s(3) =< A 0.03/0.12 0.03/0.12 with precondition: [A>=0,B>=C] 0.03/0.12 0.03/0.12 * Chain [8]...: 1*s(5)+1*s(6)+0 0.03/0.12 Such that:s(5) =< A 0.03/0.12 0.03/0.12 with precondition: [A>=0,B>=C] 0.03/0.12 0.03/0.12 0.03/0.12 Closed-form bounds of f0(A,B,C,D): 0.03/0.12 ------------------------------------- 0.03/0.12 * Chain [9] with precondition: [A>=0,B>=C] 0.03/0.12 - Upper bound: inf 0.03/0.12 - Complexity: infinity 0.03/0.12 * Chain [8]... with precondition: [A>=0,B>=C] 0.03/0.12 - Upper bound: inf 0.03/0.12 - Complexity: infinity 0.03/0.12 0.03/0.12 ### Maximum cost of f0(A,B,C,D): inf 0.03/0.12 Asymptotic class: infinity 0.03/0.12 * Total analysis performed in 68 ms. 0.03/0.12 0.03/0.22 EOF