0.03/0.13 WORST_CASE(?,O(1)) 0.03/0.13 0.03/0.13 Preprocessing Cost Relations 0.03/0.13 ===================================== 0.03/0.13 0.03/0.13 #### Computed strongly connected components 0.03/0.13 0. non_recursive : [f5/4] 0.03/0.13 1. recursive : [f7/5] 0.03/0.13 2. non_recursive : [exit_location/1] 0.03/0.13 3. non_recursive : [f7_loop_cont/5] 0.03/0.13 4. non_recursive : [f0/4] 0.03/0.13 0.03/0.13 #### Obtained direct recursion through partial evaluation 0.03/0.13 0. SCC is completely evaluated into other SCCs 0.03/0.13 1. SCC is partially evaluated into f7/5 0.03/0.13 2. SCC is completely evaluated into other SCCs 0.03/0.13 3. SCC is partially evaluated into f7_loop_cont/5 0.03/0.13 4. SCC is partially evaluated into f0/4 0.03/0.13 0.03/0.13 Control-Flow Refinement of Cost Relations 0.03/0.13 ===================================== 0.03/0.13 0.03/0.13 ### Specialization of cost equations f7/5 0.03/0.13 * CE 5 is refined into CE [8] 0.03/0.13 * CE 4 is refined into CE [9] 0.03/0.13 * CE 3 is refined into CE [10] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of f7/5 0.03/0.13 * CEs [10] --> Loop 8 0.03/0.13 * CEs [8] --> Loop 9 0.03/0.13 * CEs [9] --> Loop 10 0.03/0.13 0.03/0.13 ### Ranking functions of CR f7(B,C,E,F,G) 0.03/0.13 * RF of phase [8]: [-B+36] 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f7(B,C,E,F,G) 0.03/0.13 * Partial RF of phase [8]: 0.03/0.13 - RF of loop [8:1]: 0.03/0.13 -B+36 0.03/0.13 0.03/0.13 0.03/0.13 ### Specialization of cost equations f7_loop_cont/5 0.03/0.13 * CE 7 is refined into CE [11] 0.03/0.13 * CE 6 is refined into CE [12] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of f7_loop_cont/5 0.03/0.13 * CEs [11] --> Loop 11 0.03/0.13 * CEs [12] --> Loop 12 0.03/0.13 0.03/0.13 ### Ranking functions of CR f7_loop_cont(A,B,C,D,E) 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f7_loop_cont(A,B,C,D,E) 0.03/0.13 0.03/0.13 0.03/0.13 ### Specialization of cost equations f0/4 0.03/0.13 * CE 1 is refined into CE [13] 0.03/0.13 * CE 2 is refined into CE [14,15,16] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of f0/4 0.03/0.13 * CEs [13] --> Loop 13 0.03/0.13 * CEs [14,15,16] --> Loop 14 0.03/0.13 0.03/0.13 ### Ranking functions of CR f0(A,B,C,E) 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR f0(A,B,C,E) 0.03/0.13 0.03/0.13 0.03/0.13 Computing Bounds 0.03/0.13 ===================================== 0.03/0.13 0.03/0.13 #### Cost of chains of f7(B,C,E,F,G): 0.03/0.13 * Chain [[8],10]: 1*it(8)+0 0.03/0.13 Such that:it(8) =< -B+36 0.03/0.13 0.03/0.13 with precondition: [E=2,F=36,B+G=C+36,35>=B,B>=0] 0.03/0.13 0.03/0.13 * Chain [[8],9]: 1*it(8)+0 0.03/0.13 Such that:it(8) =< -B+36 0.03/0.13 0.03/0.13 with precondition: [E=3,35>=B,B>=0] 0.03/0.13 0.03/0.13 * Chain [9]: 0 0.03/0.13 with precondition: [E=3,B>=0] 0.03/0.13 0.03/0.13 0.03/0.13 #### Cost of chains of f7_loop_cont(A,B,C,D,E): 0.03/0.13 * Chain [12]: 0 0.03/0.13 with precondition: [A=2,127>=B] 0.03/0.13 0.03/0.13 * Chain [11]: 0 0.03/0.13 with precondition: [A=3,127>=B] 0.03/0.13 0.03/0.13 0.03/0.13 #### Cost of chains of f0(A,B,C,E): 0.03/0.13 * Chain [14]: 72 0.03/0.13 with precondition: [127>=A] 0.03/0.13 0.03/0.13 * Chain [13]: 0 0.03/0.13 with precondition: [A>=128] 0.03/0.13 0.03/0.13 0.03/0.13 Closed-form bounds of f0(A,B,C,E): 0.03/0.13 ------------------------------------- 0.03/0.13 * Chain [14] with precondition: [127>=A] 0.03/0.13 - Upper bound: 72 0.03/0.13 - Complexity: constant 0.03/0.13 * Chain [13] with precondition: [A>=128] 0.03/0.13 - Upper bound: 0 0.03/0.13 - Complexity: constant 0.03/0.13 0.03/0.13 ### Maximum cost of f0(A,B,C,E): 72 0.03/0.13 Asymptotic class: constant 0.03/0.13 * Total analysis performed in 68 ms. 0.03/0.13 0.03/0.23 EOF