0.02/0.14 MAYBE 0.02/0.14 0.02/0.14 Preprocessing Cost Relations 0.02/0.14 ===================================== 0.02/0.14 0.02/0.14 #### Computed strongly connected components 0.02/0.14 0. recursive : [f1/5] 0.02/0.14 1. non_recursive : [exit_location/1] 0.02/0.14 2. recursive : [f4/3] 0.02/0.14 3. non_recursive : [f4_loop_cont/2] 0.02/0.14 4. non_recursive : [f1_loop_cont/5] 0.02/0.14 5. non_recursive : [f0/4] 0.02/0.14 0.02/0.14 #### Obtained direct recursion through partial evaluation 0.02/0.14 0. SCC is partially evaluated into f1/5 0.02/0.14 1. SCC is completely evaluated into other SCCs 0.02/0.14 2. SCC is partially evaluated into f4/3 0.02/0.14 3. SCC is completely evaluated into other SCCs 0.02/0.14 4. SCC is partially evaluated into f1_loop_cont/5 0.02/0.14 5. SCC is partially evaluated into f0/4 0.02/0.14 0.02/0.14 Control-Flow Refinement of Cost Relations 0.02/0.14 ===================================== 0.02/0.14 0.02/0.14 ### Specialization of cost equations f1/5 0.02/0.14 * CE 3 is refined into CE [9] 0.02/0.14 * CE 4 is refined into CE [10] 0.02/0.14 * CE 2 is refined into CE [11] 0.02/0.14 0.02/0.14 0.02/0.14 ### Cost equations --> "Loop" of f1/5 0.02/0.14 * CEs [11] --> Loop 9 0.02/0.14 * CEs [9] --> Loop 10 0.02/0.14 * CEs [10] --> Loop 11 0.02/0.14 0.02/0.14 ### Ranking functions of CR f1(B,C,E,F,G) 0.02/0.14 * RF of phase [9]: [B] 0.02/0.14 0.02/0.14 #### Partial ranking functions of CR f1(B,C,E,F,G) 0.02/0.14 * Partial RF of phase [9]: 0.02/0.14 - RF of loop [9:1]: 0.02/0.14 B 0.02/0.14 0.02/0.14 0.02/0.14 ### Specialization of cost equations f4/3 0.02/0.14 * CE 8 is refined into CE [12] 0.02/0.14 * CE 7 is refined into CE [13] 0.02/0.14 0.02/0.14 0.02/0.14 ### Cost equations --> "Loop" of f4/3 0.02/0.14 * CEs [13] --> Loop 12 0.02/0.14 * CEs [12] --> Loop 13 0.02/0.14 0.02/0.14 ### Ranking functions of CR f4(A,C,E) 0.02/0.14 0.02/0.14 #### Partial ranking functions of CR f4(A,C,E) 0.02/0.14 0.02/0.14 0.02/0.14 ### Specialization of cost equations f1_loop_cont/5 0.02/0.14 * CE 6 is refined into CE [14,15] 0.02/0.14 * CE 5 is refined into CE [16] 0.02/0.14 0.02/0.14 0.02/0.14 ### Cost equations --> "Loop" of f1_loop_cont/5 0.02/0.14 * CEs [14] --> Loop 14 0.02/0.14 * CEs [16] --> Loop 15 0.02/0.14 * CEs [15] --> Loop 16 0.02/0.14 0.02/0.14 ### Ranking functions of CR f1_loop_cont(A,B,C,D,E) 0.02/0.14 0.02/0.14 #### Partial ranking functions of CR f1_loop_cont(A,B,C,D,E) 0.02/0.14 0.02/0.14 0.02/0.14 ### Specialization of cost equations f0/4 0.02/0.14 * CE 1 is refined into CE [17,18,19,20,21,22] 0.02/0.14 0.02/0.14 0.02/0.14 ### Cost equations --> "Loop" of f0/4 0.02/0.14 * CEs [20] --> Loop 17 0.02/0.14 * CEs [22] --> Loop 18 0.02/0.14 * CEs [18,19] --> Loop 19 0.02/0.14 * CEs [21] --> Loop 20 0.02/0.14 * CEs [17] --> Loop 21 0.02/0.14 0.02/0.14 ### Ranking functions of CR f0(A,B,C,E) 0.02/0.14 0.02/0.14 #### Partial ranking functions of CR f0(A,B,C,E) 0.02/0.14 0.02/0.14 0.02/0.14 Computing Bounds 0.02/0.14 ===================================== 0.02/0.14 0.02/0.14 #### Cost of chains of f1(B,C,E,F,G): 0.02/0.14 * Chain [[9],11]: 1*it(9)+0 0.02/0.14 Such that:it(9) =< B 0.02/0.14 0.02/0.14 with precondition: [E=2,B>=1] 0.02/0.14 0.02/0.14 * Chain [[9],10]: 1*it(9)+0 0.02/0.14 Such that:it(9) =< B 0.02/0.14 0.02/0.14 with precondition: [E=3,F=0,B>=1] 0.02/0.14 0.02/0.14 * Chain [11]: 0 0.02/0.14 with precondition: [E=2] 0.02/0.14 0.02/0.14 * Chain [10]: 0 0.02/0.14 with precondition: [E=3,B=F,0>=B] 0.02/0.14 0.02/0.14 0.02/0.14 #### Cost of chains of f4(A,C,E): 0.02/0.14 * Chain [[12]]...: 1*it(12)+0 0.02/0.14 with precondition: [A>=0,1>=A,E=2] 0.02/0.14 0.02/0.14 * Chain [[12],13]: 1*it(12)+0 0.02/0.14 with precondition: [E=2,1>=A,A>=0] 0.02/0.14 0.02/0.14 * Chain [13]: 0 0.02/0.14 with precondition: [E=2,1>=A,A>=0] 0.02/0.14 0.02/0.14 0.02/0.14 #### Cost of chains of f1_loop_cont(A,B,C,D,E): 0.02/0.14 * Chain [16]...: 1*s(2)+0 0.02/0.14 with precondition: [A=3,B=0] 0.02/0.14 0.02/0.14 * Chain [15]: 0 0.02/0.14 with precondition: [A=2,B=0] 0.02/0.14 0.02/0.14 * Chain [14]: 1*s(3)+0 0.02/0.14 with precondition: [A=3,B=0] 0.02/0.14 0.02/0.14 0.02/0.14 #### Cost of chains of f0(A,B,C,E): 0.02/0.14 * Chain [21]: 0 0.02/0.14 with precondition: [] 0.02/0.14 0.02/0.14 * Chain [20]: 1*s(4)+0 0.02/0.14 with precondition: [0>=B] 0.02/0.14 0.02/0.14 * Chain [19]: 2*s(5)+1*s(7)+0 0.02/0.14 Such that:aux(2) =< B 0.02/0.14 s(5) =< aux(2) 0.02/0.14 0.02/0.14 with precondition: [B>=1] 0.02/0.14 0.02/0.14 * Chain [18]...: 1*s(8)+0 0.02/0.14 with precondition: [0>=B] 0.02/0.14 0.02/0.14 * Chain [17]...: 1*s(9)+1*s(10)+0 0.02/0.14 Such that:s(9) =< B 0.02/0.14 0.02/0.14 with precondition: [B>=1] 0.02/0.14 0.02/0.14 0.02/0.14 Closed-form bounds of f0(A,B,C,E): 0.02/0.14 ------------------------------------- 0.02/0.14 * Chain [21] with precondition: [] 0.02/0.14 - Upper bound: 0 0.02/0.14 - Complexity: constant 0.02/0.14 * Chain [20] with precondition: [0>=B] 0.02/0.14 - Upper bound: inf 0.02/0.14 - Complexity: infinity 0.02/0.14 * Chain [19] with precondition: [B>=1] 0.02/0.14 - Upper bound: inf 0.02/0.14 - Complexity: infinity 0.02/0.14 * Chain [18]... with precondition: [0>=B] 0.02/0.14 - Upper bound: inf 0.02/0.14 - Complexity: infinity 0.02/0.14 * Chain [17]... with precondition: [B>=1] 0.02/0.14 - Upper bound: inf 0.02/0.14 - Complexity: infinity 0.02/0.14 0.02/0.14 ### Maximum cost of f0(A,B,C,E): inf 0.02/0.14 Asymptotic class: infinity 0.02/0.14 * Total analysis performed in 87 ms. 0.02/0.14 0.02/0.25 EOF