0.04/0.11 WORST_CASE(?,O(1)) 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_bb1_in/3,eval_foo_bb2_in/3] 0.04/0.11 1. non_recursive : [eval_foo_stop/1] 0.04/0.11 2. non_recursive : [eval_foo_bb3_in/1] 0.04/0.11 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.04/0.11 4. non_recursive : [eval_foo_bb0_in/1] 0.04/0.11 5. 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_bb1_in/3 0.04/0.11 1. SCC is completely evaluated into other SCCs 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 partially evaluated into eval_foo_bb0_in/1 0.04/0.11 5. 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_bb1_in/3 0.04/0.11 * CE 4 is refined into CE [5] 0.04/0.11 * CE 3 is refined into CE [6] 0.04/0.11 0.04/0.11 0.04/0.11 ### Cost equations --> "Loop" of eval_foo_bb1_in/3 0.04/0.11 * CEs [6] --> Loop 5 0.04/0.11 * CEs [5] --> Loop 6 0.04/0.11 0.04/0.11 ### Ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 0.04/0.11 * RF of phase [5]: [V__0-5000,-V__01+5001] 0.04/0.11 0.04/0.11 #### Partial ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 0.04/0.11 * Partial RF of phase [5]: 0.04/0.11 - RF of loop [5:1]: 0.04/0.11 V__0-5000 0.04/0.11 -V__01+5001 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 [7] 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 [7] --> Loop 7 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 [8] 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 [8] --> Loop 8 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_bb1_in(V__01,V__0,B): 0.04/0.11 * Chain [[5],6]: 1*it(5)+0 0.04/0.11 Such that:it(5) =< V__0 0.04/0.11 0.04/0.11 with precondition: [B=2,V__0+V__01=10001,10000>=V__0,V__0>=5001] 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 [7]: 1*s(1)+0 0.04/0.11 Such that:s(1) =< 10000 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 [8]: 1*s(2)+0 0.04/0.11 Such that:s(2) =< 10000 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 [8] with precondition: [] 0.04/0.11 - Upper bound: 10000 0.04/0.11 - Complexity: constant 0.04/0.11 0.04/0.11 ### Maximum cost of eval_foo_start(V_i,V_j,B): 10000 0.04/0.11 Asymptotic class: constant 0.04/0.11 * Total analysis performed in 39 ms. 0.04/0.11 0.04/0.21 EOF