0.02/0.11 MAYBE 0.02/0.11 WARNING: Excluded non-linear constraints:[B*B*B>=C] 0.02/0.11 WARNING: Excluded non-linear constraints:[B*B*B>=C] 0.02/0.11 0.02/0.11 Preprocessing Cost Relations 0.02/0.11 ===================================== 0.02/0.11 0.02/0.11 #### Computed strongly connected components 0.02/0.11 0. recursive : [eval/4] 0.02/0.11 1. non_recursive : [exit_location/1] 0.02/0.11 2. non_recursive : [eval_loop_cont/2] 0.02/0.11 3. non_recursive : [start/4] 0.02/0.11 0.02/0.11 #### Obtained direct recursion through partial evaluation 0.02/0.11 0. SCC is partially evaluated into eval/4 0.02/0.11 1. SCC is completely evaluated into other SCCs 0.02/0.11 2. SCC is completely evaluated into other SCCs 0.02/0.11 3. SCC is partially evaluated into start/4 0.02/0.11 0.02/0.11 Control-Flow Refinement of Cost Relations 0.02/0.11 ===================================== 0.02/0.11 0.02/0.11 ### Specialization of cost equations eval/4 0.02/0.11 * CE 4 is refined into CE [5] 0.02/0.11 * CE 2 is refined into CE [6] 0.02/0.11 * CE 3 is refined into CE [7] 0.02/0.11 0.02/0.11 0.02/0.11 ### Cost equations --> "Loop" of eval/4 0.02/0.11 * CEs [6] --> Loop 5 0.02/0.11 * CEs [7] --> Loop 6 0.02/0.11 * CEs [5] --> Loop 7 0.02/0.11 0.02/0.11 ### Ranking functions of CR eval(A,B,C,D) 0.02/0.11 0.02/0.11 #### Partial ranking functions of CR eval(A,B,C,D) 0.02/0.11 * Partial RF of phase [5,6]: 0.02/0.11 - RF of loop [5:1]: 0.02/0.11 A+1 0.02/0.11 0.02/0.11 0.02/0.11 ### Specialization of cost equations start/4 0.02/0.11 * CE 1 is refined into CE [8,9,10] 0.02/0.11 0.02/0.11 0.02/0.11 ### Cost equations --> "Loop" of start/4 0.02/0.11 * CEs [10] --> Loop 8 0.02/0.11 * CEs [9] --> Loop 9 0.02/0.11 * CEs [8] --> Loop 10 0.02/0.11 0.02/0.11 ### Ranking functions of CR start(A,B,C,D) 0.02/0.11 0.02/0.11 #### Partial ranking functions of CR start(A,B,C,D) 0.02/0.11 0.02/0.11 0.02/0.11 Computing Bounds 0.02/0.11 ===================================== 0.02/0.11 0.02/0.11 #### Cost of chains of eval(A,B,C,D): 0.02/0.11 * Chain [[5,6]]...: 1*it(5)+1*it(6)+0 0.02/0.11 Such that:it(5) =< A+1 0.02/0.11 0.02/0.11 with precondition: [A>=0,D=2] 0.02/0.11 0.02/0.11 * Chain [[5,6],7]: 1*it(5)+1*it(6)+0 0.02/0.11 Such that:it(5) =< A+1 0.02/0.11 0.02/0.11 with precondition: [D=2,A>=0] 0.02/0.11 0.02/0.11 * Chain [7]: 0 0.02/0.11 with precondition: [D=2] 0.02/0.11 0.02/0.11 0.02/0.11 #### Cost of chains of start(A,B,C,D): 0.02/0.11 * Chain [10]: 0 0.02/0.11 with precondition: [] 0.02/0.11 0.02/0.11 * Chain [9]: 1*s(1)+1*s(2)+0 0.02/0.11 Such that:s(1) =< A+1 0.02/0.11 0.02/0.11 with precondition: [A>=0] 0.02/0.11 0.02/0.11 * Chain [8]...: 1*s(3)+1*s(4)+0 0.02/0.11 Such that:s(3) =< A+1 0.02/0.11 0.02/0.11 with precondition: [A>=0] 0.02/0.11 0.02/0.11 0.02/0.11 Closed-form bounds of start(A,B,C,D): 0.02/0.11 ------------------------------------- 0.02/0.11 * Chain [10] with precondition: [] 0.02/0.11 - Upper bound: 0 0.02/0.11 - Complexity: constant 0.02/0.11 * Chain [9] with precondition: [A>=0] 0.02/0.11 - Upper bound: inf 0.02/0.11 - Complexity: infinity 0.02/0.11 * Chain [8]... with precondition: [A>=0] 0.02/0.11 - Upper bound: inf 0.02/0.11 - Complexity: infinity 0.02/0.11 0.02/0.11 ### Maximum cost of start(A,B,C,D): inf 0.02/0.11 Asymptotic class: infinity 0.02/0.11 * Total analysis performed in 53 ms. 0.02/0.11 0.02/0.21 EOF