0.04/0.32 MAYBE 0.04/0.32 0.04/0.32 Preprocessing Cost Relations 0.04/0.32 ===================================== 0.04/0.32 0.04/0.32 #### Computed strongly connected components 0.04/0.32 0. recursive : [f1/27] 0.04/0.32 1. non_recursive : [exit_location/1] 0.04/0.32 2. non_recursive : [f4/17] 0.04/0.32 3. non_recursive : [f1_loop_cont/18] 0.04/0.32 4. non_recursive : [f3/17] 0.04/0.32 0.04/0.32 #### Obtained direct recursion through partial evaluation 0.04/0.32 0. SCC is partially evaluated into f1/27 0.04/0.32 1. SCC is completely evaluated into other SCCs 0.04/0.32 2. SCC is completely evaluated into other SCCs 0.04/0.32 3. SCC is partially evaluated into f1_loop_cont/18 0.04/0.32 4. SCC is partially evaluated into f3/17 0.04/0.32 0.04/0.32 Control-Flow Refinement of Cost Relations 0.04/0.32 ===================================== 0.04/0.32 0.04/0.32 ### Specialization of cost equations f1/27 0.04/0.32 * CE 5 is refined into CE [8] 0.04/0.32 * CE 4 is refined into CE [9] 0.04/0.32 * CE 3 is refined into CE [10] 0.04/0.32 0.04/0.32 0.04/0.32 ### Cost equations --> "Loop" of f1/27 0.04/0.32 * CEs [10] --> Loop 7 0.04/0.32 * CEs [8] --> Loop 8 0.04/0.32 * CEs [9] --> Loop 9 0.04/0.32 0.04/0.32 ### Ranking functions of CR f1(A,B,C,D,E,F,G,H,I,J,K,L,M,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) 0.04/0.32 * RF of phase [7]: [A-B,-B+H] 0.04/0.32 0.04/0.32 #### Partial ranking functions of CR f1(A,B,C,D,E,F,G,H,I,J,K,L,M,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1) 0.04/0.32 * Partial RF of phase [7]: 0.04/0.32 - RF of loop [7:1]: 0.04/0.32 A-B 0.04/0.32 -B+H 0.04/0.32 0.04/0.32 0.04/0.32 ### Specialization of cost equations f1_loop_cont/18 0.04/0.32 * CE 7 is refined into CE [11] 0.04/0.32 * CE 6 is refined into CE [12] 0.04/0.32 0.04/0.32 0.04/0.32 ### Cost equations --> "Loop" of f1_loop_cont/18 0.04/0.32 * CEs [11] --> Loop 10 0.04/0.32 * CEs [12] --> Loop 11 0.04/0.32 0.04/0.32 ### Ranking functions of CR f1_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) 0.04/0.32 0.04/0.32 #### Partial ranking functions of CR f1_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R) 0.04/0.32 0.04/0.32 0.04/0.32 ### Specialization of cost equations f3/17 0.04/0.32 * CE 1 is refined into CE [13] 0.04/0.32 * CE 2 is refined into CE [14,15,16,17] 0.04/0.32 0.04/0.32 0.04/0.32 ### Cost equations --> "Loop" of f3/17 0.04/0.32 * CEs [13,14,15,16,17] --> Loop 12 0.04/0.32 0.04/0.32 ### Ranking functions of CR f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,C1) 0.04/0.32 0.04/0.32 #### Partial ranking functions of CR f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,C1) 0.04/0.32 0.04/0.32 0.04/0.32 Computing Bounds 0.04/0.32 ===================================== 0.04/0.32 0.04/0.32 #### Cost of chains of f1(A,B,C,D,E,F,G,H,I,J,K,L,M,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1): 0.04/0.32 * Chain [[7],9]: 1*it(7)+0 0.04/0.32 Such that:it(7) =< -B+H 0.04/0.32 0.04/0.32 with precondition: [C1=2,C=E,A=H,A=J1+1,B>=2,K1>=2,A>=B+1,E1>=K1] 0.04/0.32 0.04/0.32 * Chain [[7],8]: 1*it(7)+0 0.04/0.32 Such that:it(7) =< A-B 0.04/0.32 0.04/0.32 with precondition: [C1=3,C=E,A=H,B>=2,A>=B+1] 0.04/0.32 0.04/0.32 * Chain [9]: 0 0.04/0.32 with precondition: [C1=2,A=B,E=C,I1=F,J1=G,A=H,E=P1,A>=2,K1>=2,E1>=K1] 0.04/0.32 0.04/0.32 * Chain [8]: 0 0.04/0.32 with precondition: [C1=3,H=A,E=C,B>=2,H>=B] 0.04/0.32 0.04/0.32 0.04/0.32 #### Cost of chains of f1_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R): 0.04/0.32 * Chain [11]: 0 0.04/0.32 with precondition: [A=2] 0.04/0.32 0.04/0.32 * Chain [10]: 0 0.04/0.32 with precondition: [A=3] 0.04/0.32 0.04/0.32 0.04/0.32 #### Cost of chains of f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,C1): 0.04/0.32 * Chain [12]: 1*aux(1)+0 0.04/0.32 with precondition: [] 0.04/0.32 0.04/0.32 0.04/0.32 Closed-form bounds of f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,C1): 0.04/0.32 ------------------------------------- 0.04/0.32 * Chain [12] with precondition: [] 0.04/0.32 - Upper bound: inf 0.04/0.32 - Complexity: infinity 0.04/0.32 0.04/0.32 ### Maximum cost of f3(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,C1): inf 0.04/0.32 Asymptotic class: infinity 0.04/0.32 * Total analysis performed in 245 ms. 0.04/0.32 0.04/0.43 EOF