0.05/0.15 MAYBE 0.05/0.15 0.05/0.15 Preprocessing Cost Relations 0.05/0.15 ===================================== 0.05/0.15 0.05/0.15 #### Computed strongly connected components 0.05/0.15 0. recursive : [eval_foo_bb1_in/3,eval_foo_bb2_in/3] 0.05/0.15 1. non_recursive : [eval_foo_stop/1] 0.05/0.15 2. non_recursive : [eval_foo_bb3_in/1] 0.05/0.15 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.15 4. non_recursive : [eval_foo_bb0_in/3] 0.05/0.15 5. non_recursive : [eval_foo_start/3] 0.05/0.15 0.05/0.15 #### Obtained direct recursion through partial evaluation 0.05/0.15 0. SCC is partially evaluated into eval_foo_bb1_in/3 0.05/0.15 1. SCC is completely evaluated into other SCCs 0.05/0.15 2. SCC is completely evaluated into other SCCs 0.05/0.15 3. SCC is completely evaluated into other SCCs 0.05/0.15 4. SCC is partially evaluated into eval_foo_bb0_in/3 0.05/0.15 5. SCC is partially evaluated into eval_foo_start/3 0.05/0.15 0.05/0.15 Control-Flow Refinement of Cost Relations 0.05/0.15 ===================================== 0.05/0.15 0.05/0.15 ### Specialization of cost equations eval_foo_bb1_in/3 0.05/0.15 * CE 7 is refined into CE [8] 0.05/0.15 * CE 5 is refined into CE [9] 0.05/0.15 * CE 6 is refined into CE [10] 0.05/0.15 0.05/0.15 0.05/0.15 ### Cost equations --> "Loop" of eval_foo_bb1_in/3 0.05/0.15 * CEs [9] --> Loop 8 0.05/0.15 * CEs [10] --> Loop 9 0.05/0.15 * CEs [8] --> Loop 10 0.05/0.15 0.05/0.15 ### Ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 0.05/0.15 0.05/0.15 #### Partial ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 0.05/0.15 0.05/0.15 0.05/0.15 ### Specialization of cost equations eval_foo_bb0_in/3 0.05/0.15 * CE 4 is refined into CE [11,12,13] 0.05/0.15 * CE 3 is refined into CE [14] 0.05/0.15 * CE 2 is refined into CE [15] 0.05/0.15 0.05/0.15 0.05/0.15 ### Cost equations --> "Loop" of eval_foo_bb0_in/3 0.05/0.15 * CEs [12] --> Loop 11 0.05/0.15 * CEs [14] --> Loop 12 0.05/0.15 * CEs [15] --> Loop 13 0.05/0.15 * CEs [11] --> Loop 14 0.05/0.15 * CEs [13] --> Loop 15 0.05/0.15 0.05/0.15 ### Ranking functions of CR eval_foo_bb0_in(V_y1,V_y2,B) 0.05/0.15 0.05/0.15 #### Partial ranking functions of CR eval_foo_bb0_in(V_y1,V_y2,B) 0.05/0.15 0.05/0.15 0.05/0.15 ### Specialization of cost equations eval_foo_start/3 0.05/0.15 * CE 1 is refined into CE [16,17,18,19,20] 0.05/0.15 0.05/0.15 0.05/0.15 ### Cost equations --> "Loop" of eval_foo_start/3 0.05/0.15 * CEs [20] --> Loop 16 0.05/0.15 * CEs [19] --> Loop 17 0.05/0.15 * CEs [18] --> Loop 18 0.05/0.15 * CEs [17] --> Loop 19 0.05/0.15 * CEs [16] --> Loop 20 0.05/0.15 0.05/0.15 ### Ranking functions of CR eval_foo_start(V_y1,V_y2,B) 0.05/0.15 0.05/0.15 #### Partial ranking functions of CR eval_foo_start(V_y1,V_y2,B) 0.05/0.15 0.05/0.15 0.05/0.15 Computing Bounds 0.05/0.15 ===================================== 0.05/0.15 0.05/0.15 #### Cost of chains of eval_foo_bb1_in(V__01,V__0,B): 0.05/0.15 * Chain [[8,9]]...: 2*it(8)+0 0.05/0.15 with precondition: [V__0+V__01>=1,V__0>=0,V__01>=0,B=2] 0.05/0.15 0.05/0.15 * Chain [[8,9],10]: 2*it(8)+0 0.05/0.15 with precondition: [B=2,V__01>=1,V__0>=1,V__0+V__01>=3] 0.05/0.15 0.05/0.15 * Chain [10]: 0 0.05/0.15 with precondition: [B=2,V__0=V__01,V__0>=0] 0.05/0.15 0.05/0.15 0.05/0.15 #### Cost of chains of eval_foo_bb0_in(V_y1,V_y2,B): 0.05/0.15 * Chain [15]...: 2*s(1)+0 0.05/0.15 with precondition: [V_y1>=0,V_y2>=0,V_y1+V_y2>=1] 0.05/0.15 0.05/0.15 * Chain [14]: 0 0.05/0.15 with precondition: [V_y1=V_y2,V_y1>=0] 0.05/0.15 0.05/0.15 * Chain [13]: 0 0.05/0.15 with precondition: [0>=V_y1+1] 0.05/0.15 0.05/0.15 * Chain [12]: 0 0.05/0.15 with precondition: [0>=V_y2+1] 0.05/0.15 0.05/0.15 * Chain [11]: 2*s(2)+0 0.05/0.15 with precondition: [V_y1>=1,V_y2>=1,V_y1+V_y2>=3] 0.05/0.15 0.05/0.15 0.05/0.15 #### Cost of chains of eval_foo_start(V_y1,V_y2,B): 0.05/0.15 * Chain [20]: 0 0.05/0.15 with precondition: [V_y1=V_y2,V_y1>=0] 0.05/0.15 0.05/0.15 * Chain [19]: 0 0.05/0.15 with precondition: [0>=V_y1+1] 0.05/0.15 0.05/0.15 * Chain [18]: 0 0.05/0.15 with precondition: [0>=V_y2+1] 0.05/0.15 0.05/0.15 * Chain [17]: 2*s(3)+0 0.05/0.15 with precondition: [V_y1>=1,V_y2>=1,V_y1+V_y2>=3] 0.05/0.15 0.05/0.15 * Chain [16]...: 2*s(4)+0 0.05/0.15 with precondition: [V_y1>=0,V_y2>=0,V_y1+V_y2>=1] 0.05/0.15 0.05/0.15 0.05/0.15 Closed-form bounds of eval_foo_start(V_y1,V_y2,B): 0.05/0.15 ------------------------------------- 0.05/0.15 * Chain [20] with precondition: [V_y1=V_y2,V_y1>=0] 0.05/0.15 - Upper bound: 0 0.05/0.15 - Complexity: constant 0.05/0.15 * Chain [19] with precondition: [0>=V_y1+1] 0.05/0.15 - Upper bound: 0 0.05/0.15 - Complexity: constant 0.05/0.15 * Chain [18] with precondition: [0>=V_y2+1] 0.05/0.15 - Upper bound: 0 0.05/0.15 - Complexity: constant 0.05/0.15 * Chain [17] with precondition: [V_y1>=1,V_y2>=1,V_y1+V_y2>=3] 0.05/0.15 - Upper bound: inf 0.05/0.15 - Complexity: infinity 0.05/0.15 * Chain [16]... with precondition: [V_y1>=0,V_y2>=0,V_y1+V_y2>=1] 0.05/0.15 - Upper bound: inf 0.05/0.15 - Complexity: infinity 0.05/0.15 0.05/0.15 ### Maximum cost of eval_foo_start(V_y1,V_y2,B): inf 0.05/0.15 Asymptotic class: infinity 0.05/0.15 * Total analysis performed in 82 ms. 0.05/0.15 0.05/0.26 EOF