0.03/0.10 MAYBE 0.03/0.10 0.03/0.10 Preprocessing Cost Relations 0.03/0.10 ===================================== 0.03/0.10 0.03/0.10 #### Computed strongly connected components 0.03/0.10 0. recursive : [eval/3] 0.03/0.10 1. non_recursive : [exit_location/1] 0.03/0.10 2. non_recursive : [eval_loop_cont/2] 0.03/0.10 3. non_recursive : [start/3] 0.03/0.10 0.03/0.10 #### Obtained direct recursion through partial evaluation 0.03/0.10 0. SCC is partially evaluated into eval/3 0.03/0.10 1. SCC is completely evaluated into other SCCs 0.03/0.10 2. SCC is completely evaluated into other SCCs 0.03/0.10 3. SCC is partially evaluated into start/3 0.03/0.10 0.03/0.10 Control-Flow Refinement of Cost Relations 0.03/0.10 ===================================== 0.03/0.10 0.03/0.10 ### Specialization of cost equations eval/3 0.03/0.10 * CE 4 is refined into CE [5] 0.03/0.10 * CE 2 is refined into CE [6] 0.03/0.10 * CE 3 is refined into CE [7] 0.03/0.10 0.03/0.10 0.03/0.10 ### Cost equations --> "Loop" of eval/3 0.03/0.10 * CEs [6] --> Loop 5 0.03/0.10 * CEs [7] --> Loop 6 0.03/0.10 * CEs [5] --> Loop 7 0.03/0.10 0.03/0.10 ### Ranking functions of CR eval(A,B,D) 0.03/0.10 0.03/0.10 #### Partial ranking functions of CR eval(A,B,D) 0.03/0.10 * Partial RF of phase [5,6]: 0.03/0.10 - RF of loop [5:1]: 0.03/0.10 A 0.03/0.10 - RF of loop [6:1]: 0.03/0.10 B depends on loops [5:1] 0.03/0.10 0.03/0.10 0.03/0.10 ### Specialization of cost equations start/3 0.03/0.10 * CE 1 is refined into CE [8,9] 0.03/0.10 0.03/0.10 0.03/0.10 ### Cost equations --> "Loop" of start/3 0.03/0.10 * CEs [9] --> Loop 8 0.03/0.10 * CEs [8] --> Loop 9 0.03/0.10 0.03/0.10 ### Ranking functions of CR start(A,B,D) 0.03/0.10 0.03/0.10 #### Partial ranking functions of CR start(A,B,D) 0.03/0.10 0.03/0.10 0.03/0.10 Computing Bounds 0.03/0.10 ===================================== 0.03/0.10 0.03/0.10 #### Cost of chains of eval(A,B,D): 0.03/0.10 * Chain [[5,6],7]: 1*it(5)+1*it(6)+0 0.03/0.10 Such that:it(5) =< A 0.03/0.10 0.03/0.10 with precondition: [D=2,A>=1,B>=1] 0.03/0.10 0.03/0.10 * Chain [7]: 0 0.03/0.10 with precondition: [D=2] 0.03/0.10 0.03/0.10 0.03/0.10 #### Cost of chains of start(A,B,D): 0.03/0.10 * Chain [9]: 0 0.03/0.10 with precondition: [] 0.03/0.10 0.03/0.10 * Chain [8]: 1*s(1)+1*s(2)+0 0.03/0.10 Such that:s(1) =< A 0.03/0.10 0.03/0.10 with precondition: [A>=1,B>=1] 0.03/0.10 0.03/0.10 0.03/0.10 Closed-form bounds of start(A,B,D): 0.03/0.10 ------------------------------------- 0.03/0.10 * Chain [9] with precondition: [] 0.03/0.10 - Upper bound: 0 0.03/0.10 - Complexity: constant 0.03/0.10 * Chain [8] with precondition: [A>=1,B>=1] 0.03/0.10 - Upper bound: inf 0.03/0.10 - Complexity: infinity 0.03/0.10 0.03/0.10 ### Maximum cost of start(A,B,D): inf 0.03/0.10 Asymptotic class: infinity 0.03/0.10 * Total analysis performed in 42 ms. 0.03/0.10 0.03/0.20 EOF