0.05/0.20 MAYBE 0.05/0.20 0.05/0.20 Preprocessing Cost Relations 0.05/0.20 ===================================== 0.05/0.20 0.05/0.20 #### Computed strongly connected components 0.05/0.20 0. recursive : [eval_foo__critedge5_in/4,eval_foo_bb1_in/4,eval_foo_bb2_in/4,eval_foo_bb3_in/4,eval_foo_bb4_in/4,eval_foo_bb5_in/4] 0.05/0.20 1. non_recursive : [eval_foo_stop/1] 0.05/0.21 2. non_recursive : [eval_foo__critedge_in/1] 0.05/0.21 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.21 4. non_recursive : [eval_foo_bb0_in/3] 0.05/0.21 5. non_recursive : [eval_foo_start/5] 0.05/0.21 0.05/0.21 #### Obtained direct recursion through partial evaluation 0.05/0.21 0. SCC is partially evaluated into eval_foo_bb1_in/4 0.05/0.21 1. SCC is completely evaluated into other SCCs 0.05/0.21 2. SCC is completely evaluated into other SCCs 0.05/0.21 3. SCC is completely evaluated into other SCCs 0.05/0.21 4. SCC is partially evaluated into eval_foo_bb0_in/3 0.05/0.21 5. SCC is partially evaluated into eval_foo_start/5 0.05/0.21 0.05/0.21 Control-Flow Refinement of Cost Relations 0.05/0.21 ===================================== 0.05/0.21 0.05/0.21 ### Specialization of cost equations eval_foo_bb1_in/4 0.05/0.21 * CE 3 is refined into CE [8] 0.05/0.21 * CE 4 is discarded (unfeasible) 0.05/0.21 * CE 7 is refined into CE [9] 0.05/0.21 * CE 5 is refined into CE [10] 0.05/0.21 * CE 6 is refined into CE [11] 0.05/0.21 0.05/0.21 0.05/0.21 ### Cost equations --> "Loop" of eval_foo_bb1_in/4 0.05/0.21 * CEs [10] --> Loop 8 0.05/0.21 * CEs [11] --> Loop 9 0.05/0.21 * CEs [8] --> Loop 10 0.05/0.21 * CEs [9] --> Loop 11 0.05/0.21 0.05/0.21 ### Ranking functions of CR eval_foo_bb1_in(V_y,V__01,V__0,B) 0.05/0.21 0.05/0.21 #### Partial ranking functions of CR eval_foo_bb1_in(V_y,V__01,V__0,B) 0.05/0.21 * Partial RF of phase [8,9]: 0.05/0.21 - RF of loop [8:1]: 0.05/0.21 V__01 depends on loops [9:1] 0.05/0.21 - RF of loop [9:1]: 0.05/0.21 -V__01+1 depends on loops [8:1] 0.05/0.21 0.05/0.21 0.05/0.21 ### Specialization of cost equations eval_foo_bb0_in/3 0.05/0.21 * CE 2 is refined into CE [12,13,14] 0.05/0.21 0.05/0.21 0.05/0.21 ### Cost equations --> "Loop" of eval_foo_bb0_in/3 0.05/0.21 * CEs [14] --> Loop 12 0.05/0.21 * CEs [12] --> Loop 13 0.05/0.21 * CEs [13] --> Loop 14 0.05/0.21 0.05/0.21 ### Ranking functions of CR eval_foo_bb0_in(V_x,V_y,B) 0.05/0.21 0.05/0.21 #### Partial ranking functions of CR eval_foo_bb0_in(V_x,V_y,B) 0.05/0.21 0.05/0.21 0.05/0.21 ### Specialization of cost equations eval_foo_start/5 0.05/0.21 * CE 1 is refined into CE [15,16,17] 0.05/0.21 0.05/0.21 0.05/0.21 ### Cost equations --> "Loop" of eval_foo_start/5 0.05/0.21 * CEs [17] --> Loop 15 0.05/0.21 * CEs [16] --> Loop 16 0.05/0.21 * CEs [15] --> Loop 17 0.05/0.21 0.05/0.21 ### Ranking functions of CR eval_foo_start(V_x,V_y,V_z,V_res,B) 0.05/0.21 0.05/0.21 #### Partial ranking functions of CR eval_foo_start(V_x,V_y,V_z,V_res,B) 0.05/0.21 0.05/0.21 0.05/0.21 Computing Bounds 0.05/0.21 ===================================== 0.05/0.21 0.05/0.21 #### Cost of chains of eval_foo_bb1_in(V_y,V__01,V__0,B): 0.05/0.21 * Chain [[8,9]]...: 2*it(8)+0 0.05/0.21 with precondition: [V_y>=V__01,V_y>=1,V__01>=0,B=2] 0.05/0.21 0.05/0.21 * Chain [[8,9],10]: 2*it(8)+0 0.05/0.21 with precondition: [V__01=0,B=2,0>=V__0,V_y>=1] 0.05/0.21 0.05/0.21 * Chain [11]: 0 0.05/0.21 with precondition: [B=2,V__01=V_y,0>=V__01] 0.05/0.21 0.05/0.21 * Chain [10]: 0 0.05/0.21 with precondition: [B=2,0>=V__0,V__01>=1,V_y>=V__01] 0.05/0.21 0.05/0.21 0.05/0.21 #### Cost of chains of eval_foo_bb0_in(V_x,V_y,B): 0.05/0.21 * Chain [14]: 0 0.05/0.21 with precondition: [0>=V_x,V_y>=1] 0.05/0.21 0.05/0.21 * Chain [13]: 0 0.05/0.21 with precondition: [0>=V_y] 0.05/0.21 0.05/0.21 * Chain [12]...: 2*s(1)+0 0.05/0.21 with precondition: [V_y>=1] 0.05/0.21 0.05/0.21 0.05/0.21 #### Cost of chains of eval_foo_start(V_x,V_y,V_z,V_res,B): 0.05/0.21 * Chain [17]: 0 0.05/0.21 with precondition: [0>=V_x,V_y>=1] 0.05/0.21 0.05/0.21 * Chain [16]: 0 0.05/0.21 with precondition: [0>=V_y] 0.05/0.21 0.05/0.21 * Chain [15]...: 2*s(2)+0 0.05/0.21 with precondition: [V_y>=1] 0.05/0.21 0.05/0.21 0.05/0.21 Closed-form bounds of eval_foo_start(V_x,V_y,V_z,V_res,B): 0.05/0.21 ------------------------------------- 0.05/0.21 * Chain [17] with precondition: [0>=V_x,V_y>=1] 0.05/0.21 - Upper bound: 0 0.05/0.21 - Complexity: constant 0.05/0.21 * Chain [16] with precondition: [0>=V_y] 0.05/0.21 - Upper bound: 0 0.05/0.21 - Complexity: constant 0.05/0.21 * Chain [15]... with precondition: [V_y>=1] 0.05/0.21 - Upper bound: inf 0.05/0.21 - Complexity: infinity 0.05/0.21 0.05/0.21 ### Maximum cost of eval_foo_start(V_x,V_y,V_z,V_res,B): inf 0.05/0.21 Asymptotic class: infinity 0.05/0.21 * Total analysis performed in 126 ms. 0.05/0.21 0.05/0.31 EOF