0.06/0.21 MAYBE 0.06/0.21 0.06/0.21 Preprocessing Cost Relations 0.06/0.21 ===================================== 0.06/0.21 0.06/0.21 #### Computed strongly connected components 0.06/0.21 0. recursive : [eval_foo_bb1_in/3,eval_foo_bb2_in/3] 0.06/0.21 1. non_recursive : [eval_foo_stop/1] 0.06/0.21 2. non_recursive : [eval_foo_bb3_in/1] 0.06/0.21 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.06/0.21 4. non_recursive : [eval_foo_bb0_in/2] 0.06/0.21 5. non_recursive : [eval_foo_start/3] 0.06/0.21 0.06/0.21 #### Obtained direct recursion through partial evaluation 0.06/0.21 0. SCC is partially evaluated into eval_foo_bb1_in/3 0.06/0.21 1. SCC is completely evaluated into other SCCs 0.06/0.21 2. SCC is completely evaluated into other SCCs 0.06/0.21 3. SCC is completely evaluated into other SCCs 0.06/0.21 4. SCC is partially evaluated into eval_foo_bb0_in/2 0.06/0.21 5. SCC is partially evaluated into eval_foo_start/3 0.06/0.21 0.06/0.21 Control-Flow Refinement of Cost Relations 0.06/0.21 ===================================== 0.06/0.21 0.06/0.21 ### Specialization of cost equations eval_foo_bb1_in/3 0.06/0.21 * CE 9 is refined into CE [10] 0.06/0.21 * CE 8 is refined into CE [11] 0.06/0.21 * CE 7 is discarded (unfeasible) 0.06/0.21 * CE 6 is refined into CE [12] 0.06/0.21 * CE 3 is refined into CE [13] 0.06/0.21 * CE 4 is refined into CE [14] 0.06/0.21 * CE 5 is refined into CE [15] 0.06/0.21 0.06/0.21 0.06/0.21 ### Cost equations --> "Loop" of eval_foo_bb1_in/3 0.06/0.21 * CEs [13] --> Loop 10 0.06/0.21 * CEs [14] --> Loop 11 0.06/0.21 * CEs [15] --> Loop 12 0.06/0.21 * CEs [12] --> Loop 13 0.06/0.21 * CEs [10] --> Loop 14 0.06/0.21 * CEs [11] --> Loop 15 0.06/0.21 0.06/0.21 ### Ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 0.06/0.21 0.06/0.21 #### Partial ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 0.06/0.21 * Partial RF of phase [10,11,12,13]: 0.06/0.21 - RF of loop [10:1]: 0.06/0.21 V__0-9 depends on loops [11:1,12:1] 0.06/0.21 - RF of loop [11:1]: 0.06/0.21 -V__0+1 depends on loops [10:1,13:1] 0.06/0.21 - RF of loop [12:1]: 0.06/0.21 -V__0+10 depends on loops [10:1,13:1] 0.06/0.21 - RF of loop [13:1]: 0.06/0.21 V__0 depends on loops [11:1,12:1] 0.06/0.21 0.06/0.21 0.06/0.21 ### Specialization of cost equations eval_foo_bb0_in/2 0.06/0.21 * CE 2 is refined into CE [16,17,18] 0.06/0.21 0.06/0.21 0.06/0.21 ### Cost equations --> "Loop" of eval_foo_bb0_in/2 0.06/0.21 * CEs [18] --> Loop 16 0.06/0.21 * CEs [17] --> Loop 17 0.06/0.21 * CEs [16] --> Loop 18 0.06/0.21 0.06/0.21 ### Ranking functions of CR eval_foo_bb0_in(V_i,B) 0.06/0.21 0.06/0.21 #### Partial ranking functions of CR eval_foo_bb0_in(V_i,B) 0.06/0.21 0.06/0.21 0.06/0.21 ### Specialization of cost equations eval_foo_start/3 0.06/0.21 * CE 1 is refined into CE [19,20,21] 0.06/0.21 0.06/0.21 0.06/0.21 ### Cost equations --> "Loop" of eval_foo_start/3 0.06/0.21 * CEs [21] --> Loop 19 0.06/0.21 * CEs [20] --> Loop 20 0.06/0.21 * CEs [19] --> Loop 21 0.06/0.21 0.06/0.21 ### Ranking functions of CR eval_foo_start(V_i,V_up,B) 0.06/0.21 0.06/0.21 #### Partial ranking functions of CR eval_foo_start(V_i,V_up,B) 0.06/0.21 0.06/0.21 0.06/0.21 Computing Bounds 0.06/0.21 ===================================== 0.06/0.21 0.06/0.21 #### Cost of chains of eval_foo_bb1_in(V__01,V__0,B): 0.06/0.21 * Chain [[10,11,12,13]]...: 4*it(10)+0 0.06/0.21 with precondition: [10>=V__0,V__01>=0,V__0>=0,1>=V__01,B=2] 0.06/0.21 0.06/0.21 * Chain [15]: 0 0.06/0.21 with precondition: [V__01=0,B=2,0>=V__0+1] 0.06/0.21 0.06/0.21 * Chain [14]: 0 0.06/0.21 with precondition: [V__01=0,B=2,V__0>=11] 0.06/0.21 0.06/0.21 0.06/0.21 #### Cost of chains of eval_foo_bb0_in(V_i,B): 0.06/0.21 * Chain [18]: 0 0.06/0.21 with precondition: [0>=V_i+1] 0.06/0.21 0.06/0.21 * Chain [17]: 0 0.06/0.21 with precondition: [V_i>=11] 0.06/0.21 0.06/0.21 * Chain [16]...: 4*s(1)+0 0.06/0.21 with precondition: [10>=V_i,V_i>=0] 0.06/0.21 0.06/0.21 0.06/0.21 #### Cost of chains of eval_foo_start(V_i,V_up,B): 0.06/0.21 * Chain [21]: 0 0.06/0.21 with precondition: [0>=V_i+1] 0.06/0.21 0.06/0.21 * Chain [20]: 0 0.06/0.21 with precondition: [V_i>=11] 0.06/0.21 0.06/0.21 * Chain [19]...: 4*s(2)+0 0.06/0.21 with precondition: [10>=V_i,V_i>=0] 0.06/0.21 0.06/0.21 0.06/0.21 Closed-form bounds of eval_foo_start(V_i,V_up,B): 0.06/0.21 ------------------------------------- 0.06/0.21 * Chain [21] with precondition: [0>=V_i+1] 0.06/0.21 - Upper bound: 0 0.06/0.21 - Complexity: constant 0.06/0.21 * Chain [20] with precondition: [V_i>=11] 0.06/0.21 - Upper bound: 0 0.06/0.21 - Complexity: constant 0.06/0.21 * Chain [19]... with precondition: [10>=V_i,V_i>=0] 0.06/0.21 - Upper bound: inf 0.06/0.21 - Complexity: infinity 0.06/0.21 0.06/0.21 ### Maximum cost of eval_foo_start(V_i,V_up,B): inf 0.06/0.21 Asymptotic class: infinity 0.06/0.21 * Total analysis performed in 130 ms. 0.06/0.21 0.06/0.31 EOF