0.03/0.13 MAYBE 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. recursive : [eval/3] 0.03/0.13 1. non_recursive : [exit_location/1] 0.03/0.13 2. non_recursive : [eval_loop_cont/2] 0.03/0.13 3. non_recursive : [start/3] 0.03/0.13 0.03/0.13 #### Obtained direct recursion through partial evaluation 0.03/0.13 0. SCC is partially evaluated into eval/3 0.03/0.13 1. SCC is completely evaluated into other SCCs 0.03/0.13 2. SCC is completely evaluated into other SCCs 0.03/0.13 3. SCC is partially evaluated into start/3 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 eval/3 0.03/0.13 * CE 4 is refined into CE [5] 0.03/0.13 * CE 3 is refined into CE [6] 0.03/0.13 * CE 2 is refined into CE [7] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of eval/3 0.03/0.13 * CEs [6] --> Loop 5 0.03/0.13 * CEs [7] --> Loop 6 0.03/0.13 * CEs [5] --> Loop 7 0.03/0.13 0.03/0.13 ### Ranking functions of CR eval(A,B,C) 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR eval(A,B,C) 0.03/0.13 * Partial RF of phase [5,6]: 0.03/0.13 - RF of loop [5:1]: 0.03/0.13 A+B-1 depends on loops [6:1] 0.03/0.13 - RF of loop [6:1]: 0.03/0.13 A depends on loops [5:1] 0.03/0.13 0.03/0.13 0.03/0.13 ### Specialization of cost equations start/3 0.03/0.13 * CE 1 is refined into CE [8,9,10] 0.03/0.13 0.03/0.13 0.03/0.13 ### Cost equations --> "Loop" of start/3 0.03/0.13 * CEs [10] --> Loop 8 0.03/0.13 * CEs [9] --> Loop 9 0.03/0.13 * CEs [8] --> Loop 10 0.03/0.13 0.03/0.13 ### Ranking functions of CR start(A,B,C) 0.03/0.13 0.03/0.13 #### Partial ranking functions of CR start(A,B,C) 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 eval(A,B,C): 0.03/0.13 * Chain [[5,6]]...: 2*it(5)+0 0.03/0.13 with precondition: [B>=1,A>=1,C=2] 0.03/0.13 0.03/0.13 * Chain [[5,6],7]: 2*it(5)+0 0.03/0.13 with precondition: [C=2,A>=1,B>=1] 0.03/0.13 0.03/0.13 * Chain [7]: 0 0.03/0.13 with precondition: [C=2] 0.03/0.13 0.03/0.13 0.03/0.13 #### Cost of chains of start(A,B,C): 0.03/0.13 * Chain [10]: 0 0.03/0.13 with precondition: [] 0.03/0.13 0.03/0.13 * Chain [9]: 2*s(1)+0 0.03/0.13 with precondition: [A>=1,B>=1] 0.03/0.13 0.03/0.13 * Chain [8]...: 2*s(2)+0 0.03/0.13 with precondition: [A>=1,B>=1] 0.03/0.13 0.03/0.13 0.03/0.13 Closed-form bounds of start(A,B,C): 0.03/0.13 ------------------------------------- 0.03/0.13 * Chain [10] with precondition: [] 0.03/0.13 - Upper bound: 0 0.03/0.13 - Complexity: constant 0.03/0.13 * Chain [9] with precondition: [A>=1,B>=1] 0.03/0.13 - Upper bound: inf 0.03/0.13 - Complexity: infinity 0.03/0.13 * Chain [8]... with precondition: [A>=1,B>=1] 0.03/0.13 - Upper bound: inf 0.03/0.13 - Complexity: infinity 0.03/0.13 0.03/0.13 ### Maximum cost of start(A,B,C): inf 0.03/0.13 Asymptotic class: infinity 0.03/0.13 * Total analysis performed in 71 ms. 0.03/0.13 0.03/0.23 EOF