0.04/0.21 MAYBE 0.04/0.21 0.04/0.21 Preprocessing Cost Relations 0.04/0.21 ===================================== 0.04/0.21 0.04/0.21 #### Computed strongly connected components 0.04/0.21 0. recursive : [f2/3] 0.04/0.21 1. non_recursive : [exit_location/1] 0.04/0.21 2. non_recursive : [f2_loop_cont/2] 0.04/0.21 3. non_recursive : [f0/3] 0.04/0.21 0.04/0.21 #### Obtained direct recursion through partial evaluation 0.04/0.21 0. SCC is partially evaluated into f2/3 0.04/0.21 1. SCC is completely evaluated into other SCCs 0.04/0.21 2. SCC is completely evaluated into other SCCs 0.04/0.21 3. SCC is partially evaluated into f0/3 0.04/0.21 0.04/0.21 Control-Flow Refinement of Cost Relations 0.04/0.21 ===================================== 0.04/0.21 0.04/0.21 ### Specialization of cost equations f2/3 0.04/0.21 * CE 9 is refined into CE [10] 0.04/0.21 * CE 3 is refined into CE [11] 0.04/0.21 * CE 5 is discarded (unfeasible) 0.04/0.21 * CE 6 is refined into CE [12] 0.04/0.21 * CE 8 is discarded (unfeasible) 0.04/0.21 * CE 7 is discarded (unfeasible) 0.04/0.21 * CE 4 is refined into CE [13] 0.04/0.21 0.04/0.21 0.04/0.21 ### Cost equations --> "Loop" of f2/3 0.04/0.21 * CEs [11] --> Loop 9 0.04/0.21 * CEs [12] --> Loop 10 0.04/0.21 * CEs [13] --> Loop 11 0.04/0.21 * CEs [10] --> Loop 12 0.04/0.21 0.04/0.21 ### Ranking functions of CR f2(A,B,E) 0.04/0.21 0.04/0.21 #### Partial ranking functions of CR f2(A,B,E) 0.04/0.21 * Partial RF of phase [9,10,11]: 0.04/0.21 - RF of loop [9:1]: 0.04/0.21 A-9 depends on loops [10:1] 0.04/0.21 - RF of loop [11:1]: 0.04/0.21 A-5 depends on loops [10:1] 0.04/0.21 0.04/0.21 0.04/0.21 ### Specialization of cost equations f0/3 0.04/0.21 * CE 1 is refined into CE [14,15,16] 0.04/0.21 * CE 2 is refined into CE [17,18,19] 0.04/0.21 0.04/0.21 0.04/0.21 ### Cost equations --> "Loop" of f0/3 0.04/0.21 * CEs [16,19] --> Loop 13 0.04/0.21 * CEs [14,15,17,18] --> Loop 14 0.04/0.21 0.04/0.21 ### Ranking functions of CR f0(A,B,E) 0.04/0.21 0.04/0.21 #### Partial ranking functions of CR f0(A,B,E) 0.04/0.21 0.04/0.21 0.04/0.21 Computing Bounds 0.04/0.21 ===================================== 0.04/0.21 0.04/0.21 #### Cost of chains of f2(A,B,E): 0.04/0.21 * Chain [[9,10,11]]...: 3*it(9)+0 0.04/0.21 with precondition: [2*A>=3*B+3,A>=2*B,2*B+1>=A,E=2] 0.04/0.21 0.04/0.21 * Chain [[9,10,11],12]: 3*it(9)+0 0.04/0.21 with precondition: [E=2,2*A>=3*B+3,A>=2*B,2*B+1>=A] 0.04/0.21 0.04/0.21 * Chain [12]: 0 0.04/0.21 with precondition: [E=2,A>=3] 0.04/0.21 0.04/0.21 0.04/0.21 #### Cost of chains of f0(A,B,E): 0.04/0.21 * Chain [14]: 1*aux(24)+0 0.04/0.21 with precondition: [] 0.04/0.21 0.04/0.21 * Chain [13]...: 1*aux(25)+0 0.04/0.21 with precondition: [] 0.04/0.21 0.04/0.21 0.04/0.21 Closed-form bounds of f0(A,B,E): 0.04/0.21 ------------------------------------- 0.04/0.21 * Chain [14] with precondition: [] 0.04/0.21 - Upper bound: inf 0.04/0.21 - Complexity: infinity 0.04/0.21 * Chain [13]... with precondition: [] 0.04/0.21 - Upper bound: inf 0.04/0.21 - Complexity: infinity 0.04/0.21 0.04/0.21 ### Maximum cost of f0(A,B,E): inf 0.04/0.21 Asymptotic class: infinity 0.04/0.21 * Total analysis performed in 138 ms. 0.04/0.21 0.04/0.31 EOF