0.04/0.35 MAYBE 0.04/0.35 0.04/0.35 Preprocessing Cost Relations 0.04/0.35 ===================================== 0.04/0.35 0.04/0.35 #### Computed strongly connected components 0.04/0.35 0. recursive : [f1/11] 0.04/0.35 1. non_recursive : [exit_location/1] 0.04/0.35 2. non_recursive : [f2/6] 0.04/0.35 3. non_recursive : [f1_loop_cont/7] 0.04/0.35 4. non_recursive : [f0/6] 0.04/0.35 0.04/0.35 #### Obtained direct recursion through partial evaluation 0.04/0.35 0. SCC is partially evaluated into f1/11 0.04/0.35 1. SCC is completely evaluated into other SCCs 0.04/0.35 2. SCC is completely evaluated into other SCCs 0.04/0.35 3. SCC is partially evaluated into f1_loop_cont/7 0.04/0.35 4. SCC is partially evaluated into f0/6 0.04/0.35 0.04/0.35 Control-Flow Refinement of Cost Relations 0.04/0.35 ===================================== 0.04/0.35 0.04/0.35 ### Specialization of cost equations f1/11 0.04/0.35 * CE 7 is refined into CE [10] 0.04/0.35 * CE 6 is refined into CE [11] 0.04/0.35 * CE 2 is refined into CE [12] 0.04/0.35 * CE 3 is refined into CE [13] 0.04/0.35 * CE 4 is refined into CE [14] 0.04/0.35 * CE 5 is refined into CE [15] 0.04/0.35 0.04/0.35 0.04/0.35 ### Cost equations --> "Loop" of f1/11 0.04/0.35 * CEs [12] --> Loop 10 0.04/0.35 * CEs [13] --> Loop 11 0.04/0.35 * CEs [14] --> Loop 12 0.04/0.35 * CEs [15] --> Loop 13 0.04/0.35 * CEs [10] --> Loop 14 0.04/0.35 * CEs [11] --> Loop 15 0.04/0.35 0.04/0.35 ### Ranking functions of CR f1(A,B,C,D,E,G,H,I,J,K,L) 0.04/0.35 0.04/0.35 #### Partial ranking functions of CR f1(A,B,C,D,E,G,H,I,J,K,L) 0.04/0.35 * Partial RF of phase [10,11,12,13]: 0.04/0.35 - RF of loop [10:1,12:1]: 0.04/0.35 A/10-10 depends on loops [11:1,13:1] 0.04/0.35 B depends on loops [11:1,13:1] 0.04/0.35 - RF of loop [11:1,13:1]: 0.04/0.35 -A/11+101/11 depends on loops [10:1,12:1] 0.04/0.35 - RF of loop [12:1,13:1]: 0.04/0.35 -C+1 0.04/0.35 0.04/0.35 0.04/0.35 ### Specialization of cost equations f1_loop_cont/7 0.04/0.35 * CE 9 is refined into CE [16] 0.04/0.35 * CE 8 is refined into CE [17] 0.04/0.35 0.04/0.35 0.04/0.35 ### Cost equations --> "Loop" of f1_loop_cont/7 0.04/0.35 * CEs [16] --> Loop 16 0.04/0.35 * CEs [17] --> Loop 17 0.04/0.35 0.04/0.35 ### Ranking functions of CR f1_loop_cont(A,B,C,D,E,F,G) 0.04/0.35 0.04/0.35 #### Partial ranking functions of CR f1_loop_cont(A,B,C,D,E,F,G) 0.04/0.35 0.04/0.35 0.04/0.35 ### Specialization of cost equations f0/6 0.04/0.35 * CE 1 is refined into CE [18,19,20,21] 0.04/0.35 0.04/0.35 0.04/0.35 ### Cost equations --> "Loop" of f0/6 0.04/0.35 * CEs [20,21] --> Loop 18 0.04/0.35 * CEs [18,19] --> Loop 19 0.04/0.35 0.04/0.35 ### Ranking functions of CR f0(A,B,C,D,E,G) 0.04/0.35 0.04/0.35 #### Partial ranking functions of CR f0(A,B,C,D,E,G) 0.04/0.35 0.04/0.35 0.04/0.35 Computing Bounds 0.04/0.35 ===================================== 0.04/0.35 0.04/0.35 #### Cost of chains of f1(A,B,C,D,E,G,H,I,J,K,L): 0.04/0.35 * Chain [[10,11,12,13]]...: 2*it(10)+2*it(12)+0 0.04/0.35 Such that:aux(21) =< -C+1 0.04/0.35 it(12) =< aux(21) 0.04/0.35 0.04/0.35 with precondition: [B>=1,1>=C,C>=0] 0.04/0.35 0.04/0.35 * Chain [[10,11,12,13],15]: 2*it(10)+2*it(12)+0 0.04/0.35 Such that:aux(22) =< -C+1 0.04/0.35 it(12) =< aux(22) 0.04/0.35 0.04/0.35 with precondition: [C=1,G=2,J=1,D=K,E=L,B>=1,I>=E,D>=H,2*H+21*B>=21*I+2*A+1,H+11*B>=11*I+A,H+10*B>=10*I+A] 0.04/0.35 0.04/0.35 * Chain [[10,11,12,13],14]: 2*it(10)+2*it(12)+0 0.04/0.35 Such that:aux(23) =< -C+1 0.04/0.35 it(12) =< aux(23) 0.04/0.35 0.04/0.35 with precondition: [G=3,1>=C,B>=1,C>=0] 0.04/0.35 0.04/0.35 * Chain [14]: 0 0.04/0.35 with precondition: [G=3,1>=C,B>=0,C>=0] 0.04/0.35 0.04/0.35 0.04/0.35 #### Cost of chains of f1_loop_cont(A,B,C,D,E,F,G): 0.04/0.35 * Chain [17]: 0 0.04/0.35 with precondition: [A=2] 0.04/0.35 0.04/0.35 * Chain [16]: 0 0.04/0.35 with precondition: [A=3] 0.04/0.35 0.04/0.35 0.04/0.35 #### Cost of chains of f0(A,B,C,D,E,G): 0.04/0.35 * Chain [19]: 1*aux(24)+0 0.04/0.35 with precondition: [] 0.04/0.35 0.04/0.35 * Chain [18]...: 1*aux(26)+0 0.04/0.35 with precondition: [] 0.04/0.35 0.04/0.35 0.04/0.35 Closed-form bounds of f0(A,B,C,D,E,G): 0.04/0.35 ------------------------------------- 0.04/0.35 * Chain [19] with precondition: [] 0.04/0.35 - Upper bound: inf 0.04/0.35 - Complexity: infinity 0.04/0.35 * Chain [18]... with precondition: [] 0.04/0.35 - Upper bound: inf 0.04/0.35 - Complexity: infinity 0.04/0.35 0.04/0.35 ### Maximum cost of f0(A,B,C,D,E,G): inf 0.04/0.35 Asymptotic class: infinity 0.04/0.35 * Total analysis performed in 274 ms. 0.04/0.35 0.04/0.45 EOF