0.03/0.16 WORST_CASE(?,O(1)) 0.03/0.16 0.03/0.16 Preprocessing Cost Relations 0.03/0.16 ===================================== 0.03/0.16 0.03/0.16 #### Computed strongly connected components 0.03/0.16 0. non_recursive : [f3/6] 0.03/0.16 1. recursive : [f300/10] 0.03/0.16 2. non_recursive : [exit_location/1] 0.03/0.16 3. non_recursive : [f300_loop_cont/7] 0.03/0.16 4. non_recursive : [f2/6] 0.03/0.16 0.03/0.16 #### Obtained direct recursion through partial evaluation 0.03/0.16 0. SCC is completely evaluated into other SCCs 0.03/0.16 1. SCC is partially evaluated into f300/10 0.03/0.16 2. SCC is completely evaluated into other SCCs 0.03/0.16 3. SCC is partially evaluated into f300_loop_cont/7 0.03/0.16 4. SCC is partially evaluated into f2/6 0.03/0.16 0.03/0.16 Control-Flow Refinement of Cost Relations 0.03/0.16 ===================================== 0.03/0.16 0.03/0.16 ### Specialization of cost equations f300/10 0.03/0.16 * CE 5 is refined into CE [8] 0.03/0.16 * CE 4 is refined into CE [9] 0.03/0.16 * CE 3 is refined into CE [10] 0.03/0.16 0.03/0.16 0.03/0.16 ### Cost equations --> "Loop" of f300/10 0.03/0.16 * CEs [10] --> Loop 8 0.03/0.16 * CEs [8] --> Loop 9 0.03/0.16 * CEs [9] --> Loop 10 0.03/0.16 0.03/0.16 ### Ranking functions of CR f300(A,B,C,D,E,F,G,H,I,J) 0.03/0.16 * RF of phase [8]: [-A+101] 0.03/0.16 0.03/0.16 #### Partial ranking functions of CR f300(A,B,C,D,E,F,G,H,I,J) 0.03/0.16 * Partial RF of phase [8]: 0.03/0.16 - RF of loop [8:1]: 0.03/0.16 -A+101 0.03/0.16 0.03/0.16 0.03/0.16 ### Specialization of cost equations f300_loop_cont/7 0.03/0.16 * CE 7 is refined into CE [11] 0.03/0.16 * CE 6 is refined into CE [12] 0.03/0.16 0.03/0.16 0.03/0.16 ### Cost equations --> "Loop" of f300_loop_cont/7 0.03/0.16 * CEs [11] --> Loop 11 0.03/0.16 * CEs [12] --> Loop 12 0.03/0.16 0.03/0.16 ### Ranking functions of CR f300_loop_cont(A,B,C,D,E,F,G) 0.03/0.16 0.03/0.16 #### Partial ranking functions of CR f300_loop_cont(A,B,C,D,E,F,G) 0.03/0.16 0.03/0.16 0.03/0.16 ### Specialization of cost equations f2/6 0.03/0.16 * CE 2 is refined into CE [13,14,15] 0.03/0.16 * CE 1 is refined into CE [16] 0.03/0.16 0.03/0.16 0.03/0.16 ### Cost equations --> "Loop" of f2/6 0.03/0.16 * CEs [13,14,15] --> Loop 13 0.03/0.16 * CEs [16] --> Loop 14 0.03/0.16 0.03/0.16 ### Ranking functions of CR f2(A,B,C,D,E,F) 0.03/0.16 0.03/0.16 #### Partial ranking functions of CR f2(A,B,C,D,E,F) 0.03/0.16 0.03/0.16 0.03/0.16 Computing Bounds 0.03/0.16 ===================================== 0.03/0.16 0.03/0.16 #### Cost of chains of f300(A,B,C,D,E,F,G,H,I,J): 0.03/0.16 * Chain [[8],10]: 1*it(8)+0 0.03/0.16 Such that:it(8) =< -A+101 0.03/0.16 0.03/0.16 with precondition: [F=2,G=101,H=0,I=0,J=0,100>=A,A>=1,B>=1] 0.03/0.16 0.03/0.16 * Chain [[8],9]: 1*it(8)+0 0.03/0.16 Such that:it(8) =< -A+101 0.03/0.16 0.03/0.16 with precondition: [F=3,100>=A,A>=1,B>=1] 0.03/0.16 0.03/0.16 * Chain [9]: 0 0.03/0.16 with precondition: [F=3,A>=1,B>=1] 0.03/0.16 0.03/0.16 0.03/0.16 #### Cost of chains of f300_loop_cont(A,B,C,D,E,F,G): 0.03/0.16 * Chain [12]: 0 0.03/0.16 with precondition: [A=2,C>=1] 0.03/0.16 0.03/0.16 * Chain [11]: 0 0.03/0.16 with precondition: [A=3,C>=1] 0.03/0.16 0.03/0.16 0.03/0.16 #### Cost of chains of f2(A,B,C,D,E,F): 0.03/0.16 * Chain [14]: 0 0.03/0.16 with precondition: [0>=B] 0.03/0.16 0.03/0.16 * Chain [13]: 200 0.03/0.16 with precondition: [B>=1] 0.03/0.16 0.03/0.16 0.03/0.16 Closed-form bounds of f2(A,B,C,D,E,F): 0.03/0.16 ------------------------------------- 0.03/0.16 * Chain [14] with precondition: [0>=B] 0.03/0.16 - Upper bound: 0 0.03/0.16 - Complexity: constant 0.03/0.16 * Chain [13] with precondition: [B>=1] 0.03/0.16 - Upper bound: 200 0.03/0.16 - Complexity: constant 0.03/0.16 0.03/0.16 ### Maximum cost of f2(A,B,C,D,E,F): 200 0.03/0.16 Asymptotic class: constant 0.03/0.16 * Total analysis performed in 100 ms. 0.03/0.16 0.03/0.26 EOF