0.03/0.20 MAYBE 0.03/0.20 0.03/0.20 Preprocessing Cost Relations 0.03/0.20 ===================================== 0.03/0.20 0.03/0.20 #### Computed strongly connected components 0.03/0.20 0. recursive : [f300/8] 0.03/0.20 1. non_recursive : [exit_location/1] 0.03/0.20 2. non_recursive : [f1/5] 0.03/0.20 3. non_recursive : [f300_loop_cont/6] 0.03/0.20 4. non_recursive : [f2/5] 0.03/0.20 0.03/0.20 #### Obtained direct recursion through partial evaluation 0.03/0.20 0. SCC is partially evaluated into f300/8 0.03/0.20 1. SCC is completely evaluated into other SCCs 0.03/0.20 2. SCC is completely evaluated into other SCCs 0.03/0.20 3. SCC is partially evaluated into f300_loop_cont/6 0.03/0.20 4. SCC is partially evaluated into f2/5 0.03/0.20 0.03/0.20 Control-Flow Refinement of Cost Relations 0.03/0.20 ===================================== 0.03/0.20 0.03/0.20 ### Specialization of cost equations f300/8 0.03/0.20 * CE 6 is refined into CE [9] 0.03/0.20 * CE 5 is refined into CE [10] 0.03/0.20 * CE 2 is refined into CE [11] 0.03/0.20 * CE 3 is refined into CE [12] 0.03/0.20 * CE 4 is refined into CE [13] 0.03/0.20 0.03/0.20 0.03/0.20 ### Cost equations --> "Loop" of f300/8 0.03/0.20 * CEs [11] --> Loop 9 0.03/0.20 * CEs [12] --> Loop 10 0.03/0.20 * CEs [13] --> Loop 11 0.03/0.20 * CEs [9] --> Loop 12 0.03/0.20 * CEs [10] --> Loop 13 0.03/0.20 0.03/0.20 ### Ranking functions of CR f300(A,B,C,D,F,G,H,I) 0.03/0.20 0.03/0.20 #### Partial ranking functions of CR f300(A,B,C,D,F,G,H,I) 0.03/0.20 * Partial RF of phase [9,10,11]: 0.03/0.20 - RF of loop [11:1]: 0.03/0.20 -A+B 0.03/0.20 0.03/0.20 0.03/0.20 ### Specialization of cost equations f300_loop_cont/6 0.03/0.20 * CE 8 is refined into CE [14] 0.03/0.20 * CE 7 is refined into CE [15] 0.03/0.20 0.03/0.20 0.03/0.20 ### Cost equations --> "Loop" of f300_loop_cont/6 0.03/0.20 * CEs [14] --> Loop 14 0.03/0.20 * CEs [15] --> Loop 15 0.03/0.20 0.03/0.20 ### Ranking functions of CR f300_loop_cont(A,B,C,D,E,F) 0.03/0.20 0.03/0.20 #### Partial ranking functions of CR f300_loop_cont(A,B,C,D,E,F) 0.03/0.20 0.03/0.20 0.03/0.20 ### Specialization of cost equations f2/5 0.03/0.20 * CE 1 is refined into CE [16,17,18,19,20,21] 0.03/0.20 0.03/0.20 0.03/0.20 ### Cost equations --> "Loop" of f2/5 0.03/0.20 * CEs [20,21] --> Loop 16 0.03/0.20 * CEs [17] --> Loop 17 0.03/0.20 * CEs [16,19] --> Loop 18 0.03/0.20 * CEs [18] --> Loop 19 0.03/0.20 0.03/0.20 ### Ranking functions of CR f2(A,B,C,D,F) 0.03/0.20 0.03/0.20 #### Partial ranking functions of CR f2(A,B,C,D,F) 0.03/0.20 0.03/0.20 0.03/0.20 Computing Bounds 0.03/0.20 ===================================== 0.03/0.20 0.03/0.20 #### Cost of chains of f300(A,B,C,D,F,G,H,I): 0.03/0.20 * Chain [[9,10,11]]...: 2*it(9)+1*it(11)+0 0.03/0.20 Such that:it(11) =< -A+B 0.03/0.20 0.03/0.20 with precondition: [B>=A+1] 0.03/0.20 0.03/0.20 * Chain [[9,10,11],13]: 2*it(9)+1*it(11)+0 0.03/0.20 Such that:it(11) =< -A+B 0.03/0.20 0.03/0.20 with precondition: [F=2,H=0,A=G,B>=A+1] 0.03/0.20 0.03/0.20 * Chain [[9,10,11],12]: 2*it(9)+1*it(11)+0 0.03/0.20 Such that:it(11) =< -A+B 0.03/0.20 0.03/0.20 with precondition: [F=3,B>=A+1] 0.03/0.20 0.03/0.20 * Chain [13]: 0 0.03/0.20 with precondition: [F=2,H=C,B=G,A>=B] 0.03/0.20 0.03/0.20 * Chain [12]: 0 0.03/0.20 with precondition: [F=3] 0.03/0.20 0.03/0.20 0.03/0.20 #### Cost of chains of f300_loop_cont(A,B,C,D,E,F): 0.03/0.20 * Chain [15]: 0 0.03/0.20 with precondition: [A=2] 0.03/0.20 0.03/0.20 * Chain [14]: 0 0.03/0.20 with precondition: [A=3] 0.03/0.20 0.03/0.20 0.03/0.20 #### Cost of chains of f2(A,B,C,D,F): 0.03/0.20 * Chain [19]: 0 0.03/0.20 with precondition: [] 0.03/0.20 0.03/0.20 * Chain [18]: 2*s(1)+4*s(2)+0 0.03/0.20 Such that:aux(1) =< -A+B 0.03/0.20 s(1) =< aux(1) 0.03/0.20 0.03/0.20 with precondition: [B>=A+1] 0.03/0.20 0.03/0.20 * Chain [17]: 0 0.03/0.20 with precondition: [A>=B] 0.03/0.20 0.03/0.20 * Chain [16]...: 2*s(5)+4*s(6)+0 0.03/0.20 Such that:aux(2) =< -A+B 0.03/0.20 s(5) =< aux(2) 0.03/0.20 0.03/0.20 with precondition: [B>=A+1] 0.03/0.20 0.03/0.20 0.03/0.20 Closed-form bounds of f2(A,B,C,D,F): 0.03/0.20 ------------------------------------- 0.03/0.20 * Chain [19] with precondition: [] 0.03/0.20 - Upper bound: 0 0.03/0.20 - Complexity: constant 0.03/0.20 * Chain [18] with precondition: [B>=A+1] 0.03/0.20 - Upper bound: inf 0.03/0.20 - Complexity: infinity 0.03/0.20 * Chain [17] with precondition: [A>=B] 0.03/0.20 - Upper bound: 0 0.03/0.20 - Complexity: constant 0.03/0.20 * Chain [16]... with precondition: [B>=A+1] 0.03/0.20 - Upper bound: inf 0.03/0.20 - Complexity: infinity 0.03/0.20 0.03/0.20 ### Maximum cost of f2(A,B,C,D,F): inf 0.03/0.20 Asymptotic class: infinity 0.03/0.20 * Total analysis performed in 141 ms. 0.03/0.20 0.03/0.30 EOF