0.05/0.19 MAYBE 0.05/0.19 0.05/0.19 Preprocessing Cost Relations 0.05/0.19 ===================================== 0.05/0.19 0.05/0.19 #### Computed strongly connected components 0.05/0.19 0. recursive : [eval_foo_bb1_in/3,eval_foo_bb2_in/3] 0.05/0.19 1. non_recursive : [eval_foo_stop/1] 0.05/0.19 2. non_recursive : [eval_foo_bb3_in/1] 0.05/0.19 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.19 4. non_recursive : [eval_foo_bb0_in/2] 0.05/0.19 5. non_recursive : [eval_foo_start/3] 0.05/0.19 0.05/0.19 #### Obtained direct recursion through partial evaluation 0.05/0.19 0. SCC is partially evaluated into eval_foo_bb1_in/3 0.05/0.19 1. SCC is completely evaluated into other SCCs 0.05/0.19 2. SCC is completely evaluated into other SCCs 0.05/0.19 3. SCC is completely evaluated into other SCCs 0.05/0.19 4. SCC is partially evaluated into eval_foo_bb0_in/2 0.05/0.19 5. SCC is partially evaluated into eval_foo_start/3 0.05/0.19 0.05/0.19 Control-Flow Refinement of Cost Relations 0.05/0.19 ===================================== 0.05/0.19 0.05/0.19 ### Specialization of cost equations eval_foo_bb1_in/3 0.05/0.19 * CE 8 is refined into CE [9] 0.05/0.19 * CE 7 is refined into CE [10] 0.05/0.19 * CE 3 is refined into CE [11] 0.05/0.19 * CE 4 is refined into CE [12] 0.05/0.19 * CE 6 is refined into CE [13] 0.05/0.19 * CE 5 is refined into CE [14] 0.05/0.19 0.05/0.19 0.05/0.19 ### Cost equations --> "Loop" of eval_foo_bb1_in/3 0.05/0.19 * CEs [13] --> Loop 9 0.05/0.19 * CEs [14] --> Loop 10 0.05/0.19 * CEs [12] --> Loop 11 0.05/0.19 * CEs [11] --> Loop 12 0.05/0.19 * CEs [9] --> Loop 13 0.05/0.19 * CEs [10] --> Loop 14 0.05/0.19 0.05/0.19 ### Ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 0.05/0.19 0.05/0.19 #### Partial ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 0.05/0.19 * Partial RF of phase [9,10,11,12]: 0.05/0.19 - RF of loop [9:1]: 0.05/0.19 V__0-9 depends on loops [10:1,11:1] 0.05/0.19 - RF of loop [10:1]: 0.05/0.19 -V__0+1 depends on loops [9:1,12:1] 0.05/0.19 - RF of loop [11:1]: 0.05/0.19 -V__0+10 depends on loops [9:1,12:1] 0.05/0.19 - RF of loop [12:1]: 0.05/0.19 V__0 depends on loops [10:1,11:1] 0.05/0.19 0.05/0.19 0.05/0.19 ### Specialization of cost equations eval_foo_bb0_in/2 0.05/0.19 * CE 2 is refined into CE [15,16,17] 0.05/0.19 0.05/0.19 0.05/0.19 ### Cost equations --> "Loop" of eval_foo_bb0_in/2 0.05/0.19 * CEs [17] --> Loop 15 0.05/0.19 * CEs [16] --> Loop 16 0.05/0.19 * CEs [15] --> Loop 17 0.05/0.19 0.05/0.19 ### Ranking functions of CR eval_foo_bb0_in(V_i,B) 0.05/0.19 0.05/0.19 #### Partial ranking functions of CR eval_foo_bb0_in(V_i,B) 0.05/0.19 0.05/0.19 0.05/0.19 ### Specialization of cost equations eval_foo_start/3 0.05/0.19 * CE 1 is refined into CE [18,19,20] 0.05/0.19 0.05/0.19 0.05/0.19 ### Cost equations --> "Loop" of eval_foo_start/3 0.05/0.19 * CEs [20] --> Loop 18 0.05/0.19 * CEs [19] --> Loop 19 0.05/0.19 * CEs [18] --> Loop 20 0.05/0.19 0.05/0.19 ### Ranking functions of CR eval_foo_start(V_i,V_up,B) 0.05/0.19 0.05/0.19 #### Partial ranking functions of CR eval_foo_start(V_i,V_up,B) 0.05/0.19 0.05/0.19 0.05/0.19 Computing Bounds 0.05/0.19 ===================================== 0.05/0.19 0.05/0.19 #### Cost of chains of eval_foo_bb1_in(V__01,V__0,B): 0.05/0.19 * Chain [[9,10,11,12]]...: 4*it(9)+0 0.05/0.19 with precondition: [10>=V__0,V__01>=0,V__0>=0,1>=V__01,B=2] 0.05/0.19 0.05/0.19 * Chain [14]: 0 0.05/0.19 with precondition: [V__01=0,B=2,0>=V__0+1] 0.05/0.19 0.05/0.19 * Chain [13]: 0 0.05/0.19 with precondition: [V__01=0,B=2,V__0>=11] 0.05/0.19 0.05/0.19 0.05/0.19 #### Cost of chains of eval_foo_bb0_in(V_i,B): 0.05/0.19 * Chain [17]: 0 0.05/0.19 with precondition: [0>=V_i+1] 0.05/0.19 0.05/0.19 * Chain [16]: 0 0.05/0.19 with precondition: [V_i>=11] 0.05/0.19 0.05/0.19 * Chain [15]...: 4*s(1)+0 0.05/0.19 with precondition: [10>=V_i,V_i>=0] 0.05/0.19 0.05/0.19 0.05/0.19 #### Cost of chains of eval_foo_start(V_i,V_up,B): 0.05/0.19 * Chain [20]: 0 0.05/0.19 with precondition: [0>=V_i+1] 0.05/0.19 0.05/0.19 * Chain [19]: 0 0.05/0.19 with precondition: [V_i>=11] 0.05/0.19 0.05/0.19 * Chain [18]...: 4*s(2)+0 0.05/0.19 with precondition: [10>=V_i,V_i>=0] 0.05/0.19 0.05/0.19 0.05/0.19 Closed-form bounds of eval_foo_start(V_i,V_up,B): 0.05/0.19 ------------------------------------- 0.05/0.19 * Chain [20] with precondition: [0>=V_i+1] 0.05/0.19 - Upper bound: 0 0.05/0.19 - Complexity: constant 0.05/0.19 * Chain [19] with precondition: [V_i>=11] 0.05/0.19 - Upper bound: 0 0.05/0.19 - Complexity: constant 0.05/0.19 * Chain [18]... with precondition: [10>=V_i,V_i>=0] 0.05/0.19 - Upper bound: inf 0.05/0.19 - Complexity: infinity 0.05/0.19 0.05/0.19 ### Maximum cost of eval_foo_start(V_i,V_up,B): inf 0.05/0.19 Asymptotic class: infinity 0.05/0.19 * Total analysis performed in 114 ms. 0.05/0.19 0.05/0.29 EOF