0.04/0.11 MAYBE 0.04/0.11 0.04/0.11 Preprocessing Cost Relations 0.04/0.11 ===================================== 0.04/0.11 0.04/0.11 #### Computed strongly connected components 0.04/0.11 0. recursive : [eval_foo_bb2_in/2,eval_foo_bb3_in/2] 0.04/0.11 1. recursive : [eval_foo_bb1_in/2,eval_foo_bb2_in_loop_cont/4,eval_foo_bb4_in/3] 0.04/0.11 2. non_recursive : [eval_foo_stop/1] 0.04/0.11 3. non_recursive : [eval_foo_bb5_in/1] 0.04/0.11 4. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.04/0.11 5. non_recursive : [eval_foo_bb0_in/1] 0.04/0.11 6. non_recursive : [eval_foo_start/3] 0.04/0.11 0.04/0.11 #### Obtained direct recursion through partial evaluation 0.04/0.11 0. SCC is partially evaluated into eval_foo_bb2_in/2 0.04/0.11 1. SCC is partially evaluated into eval_foo_bb1_in/2 0.04/0.11 2. SCC is completely evaluated into other SCCs 0.04/0.11 3. SCC is completely evaluated into other SCCs 0.04/0.11 4. SCC is completely evaluated into other SCCs 0.04/0.11 5. SCC is partially evaluated into eval_foo_bb0_in/1 0.04/0.11 6. SCC is partially evaluated into eval_foo_start/3 0.04/0.11 0.04/0.11 Control-Flow Refinement of Cost Relations 0.04/0.11 ===================================== 0.04/0.11 0.04/0.11 ### Specialization of cost equations eval_foo_bb2_in/2 0.04/0.11 * CE 6 is discarded (unfeasible) 0.04/0.11 * CE 5 is refined into CE [7] 0.04/0.11 0.04/0.11 0.04/0.11 ### Cost equations --> "Loop" of eval_foo_bb2_in/2 0.04/0.11 * CEs [7] --> Loop 7 0.04/0.11 0.04/0.11 ### Ranking functions of CR eval_foo_bb2_in(V__01,B) 0.04/0.11 0.04/0.11 #### Partial ranking functions of CR eval_foo_bb2_in(V__01,B) 0.04/0.11 0.04/0.11 Warning: no base case found for predicate 0.04/0.11 0.04/0.11 ### Specialization of cost equations eval_foo_bb1_in/2 0.04/0.11 * CE 4 is refined into CE [8] 0.04/0.11 * CE 3 is refined into CE [9] 0.04/0.11 0.04/0.11 0.04/0.11 ### Cost equations --> "Loop" of eval_foo_bb1_in/2 0.04/0.11 * CEs [9] --> Loop 8 0.04/0.11 * CEs [8] --> Loop 9 0.04/0.11 0.04/0.11 ### Ranking functions of CR eval_foo_bb1_in(V__0,B) 0.04/0.11 * RF of phase [8]: [-V__0+100] 0.04/0.11 0.04/0.11 #### Partial ranking functions of CR eval_foo_bb1_in(V__0,B) 0.04/0.11 * Partial RF of phase [8]: 0.04/0.11 - RF of loop [8:1]: 0.04/0.11 -V__0+100 0.04/0.11 0.04/0.11 0.04/0.11 ### Specialization of cost equations eval_foo_bb0_in/1 0.04/0.11 * CE 2 is refined into CE [10] 0.04/0.11 0.04/0.11 0.04/0.11 ### Cost equations --> "Loop" of eval_foo_bb0_in/1 0.04/0.11 * CEs [10] --> Loop 10 0.04/0.11 0.04/0.11 ### Ranking functions of CR eval_foo_bb0_in(B) 0.04/0.11 0.04/0.11 #### Partial ranking functions of CR eval_foo_bb0_in(B) 0.04/0.11 0.04/0.11 0.04/0.11 ### Specialization of cost equations eval_foo_start/3 0.04/0.11 * CE 1 is refined into CE [11] 0.04/0.11 0.04/0.11 0.04/0.11 ### Cost equations --> "Loop" of eval_foo_start/3 0.04/0.11 * CEs [11] --> Loop 11 0.04/0.11 0.04/0.11 ### Ranking functions of CR eval_foo_start(V_i,V_j,B) 0.04/0.11 0.04/0.11 #### Partial ranking functions of CR eval_foo_start(V_i,V_j,B) 0.04/0.11 0.04/0.11 0.04/0.11 Computing Bounds 0.04/0.11 ===================================== 0.04/0.11 0.04/0.11 #### Cost of chains of eval_foo_bb2_in(V__01,B): 0.04/0.11 * Chain [[7]]...: 1*it(7)+0 0.04/0.11 with precondition: [V__01=0,B=2] 0.04/0.11 0.04/0.11 0.04/0.11 #### Cost of chains of eval_foo_bb1_in(V__0,B): 0.04/0.11 * Chain [[8],9]: 1*it(8)+1*s(3)+0 0.04/0.11 Such that:it(8) =< -V__0+100 0.04/0.11 0.04/0.11 with precondition: [B=3,99>=V__0,V__0>=0] 0.04/0.11 0.04/0.11 0.04/0.11 #### Cost of chains of eval_foo_bb0_in(B): 0.04/0.11 * Chain [10]: 1*s(4)+1*s(5)+0 0.04/0.11 Such that:s(4) =< 100 0.04/0.11 0.04/0.11 with precondition: [] 0.04/0.11 0.04/0.11 0.04/0.11 #### Cost of chains of eval_foo_start(V_i,V_j,B): 0.04/0.11 * Chain [11]: 1*s(6)+1*s(7)+0 0.04/0.11 Such that:s(6) =< 100 0.04/0.11 0.04/0.11 with precondition: [] 0.04/0.11 0.04/0.11 0.04/0.11 Closed-form bounds of eval_foo_start(V_i,V_j,B): 0.04/0.11 ------------------------------------- 0.04/0.11 * Chain [11] with precondition: [] 0.04/0.11 - Upper bound: inf 0.04/0.11 - Complexity: infinity 0.04/0.11 0.04/0.11 ### Maximum cost of eval_foo_start(V_i,V_j,B): inf 0.04/0.11 Asymptotic class: infinity 0.04/0.11 * Total analysis performed in 45 ms. 0.04/0.11 0.04/0.22 EOF