0.04/0.36 MAYBE 0.04/0.36 0.04/0.36 Preprocessing Cost Relations 0.04/0.36 ===================================== 0.04/0.36 0.04/0.36 #### Computed strongly connected components 0.04/0.36 0. recursive : [eval_foo_bb1_in/2,eval_foo_bb2_in/2,eval_foo_bb3_in/2,eval_foo_bb4_in/3,eval_foo_bb5_in/2,eval_foo_bb6_in/3] 0.04/0.36 1. non_recursive : [eval_foo_stop/1] 0.04/0.36 2. non_recursive : [eval_foo_bb7_in/1] 0.04/0.36 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.04/0.36 4. non_recursive : [eval_foo_bb0_in/2] 0.04/0.36 5. non_recursive : [eval_foo_start/2] 0.04/0.36 0.04/0.36 #### Obtained direct recursion through partial evaluation 0.04/0.36 0. SCC is partially evaluated into eval_foo_bb1_in/2 0.04/0.36 1. SCC is completely evaluated into other SCCs 0.04/0.36 2. SCC is completely evaluated into other SCCs 0.04/0.36 3. SCC is completely evaluated into other SCCs 0.04/0.36 4. SCC is partially evaluated into eval_foo_bb0_in/2 0.04/0.36 5. SCC is partially evaluated into eval_foo_start/2 0.04/0.36 0.04/0.36 Control-Flow Refinement of Cost Relations 0.04/0.36 ===================================== 0.04/0.36 0.04/0.36 ### Specialization of cost equations eval_foo_bb1_in/2 0.04/0.36 * CE 7 is refined into CE [8] 0.04/0.36 * CE 3 is refined into CE [9] 0.04/0.36 * CE 5 is refined into CE [10] 0.04/0.36 * CE 4 is refined into CE [11] 0.04/0.36 * CE 6 is refined into CE [12] 0.04/0.36 0.04/0.36 0.04/0.36 ### Cost equations --> "Loop" of eval_foo_bb1_in/2 0.04/0.36 * CEs [9] --> Loop 8 0.04/0.36 * CEs [10] --> Loop 9 0.04/0.36 * CEs [11] --> Loop 10 0.04/0.36 * CEs [12] --> Loop 11 0.04/0.36 * CEs [8] --> Loop 12 0.04/0.36 0.04/0.36 ### Ranking functions of CR eval_foo_bb1_in(V__0,B) 0.04/0.36 0.04/0.36 #### Partial ranking functions of CR eval_foo_bb1_in(V__0,B) 0.04/0.36 * Partial RF of phase [8,9]: 0.04/0.36 - RF of loop [8:1]: 0.04/0.36 V__0/4-1/2 depends on loops [9:1] 0.04/0.36 - RF of loop [9:1]: 0.04/0.36 -V__0/4-1/2 depends on loops [8:1] 0.04/0.36 * Partial RF of phase [10,11]: 0.04/0.36 - RF of loop [10:1]: 0.04/0.36 V__0/2 depends on loops [11:1] 0.04/0.36 - RF of loop [11:1]: 0.04/0.36 -V__0/2 depends on loops [10:1] 0.04/0.36 0.04/0.36 0.04/0.36 ### Specialization of cost equations eval_foo_bb0_in/2 0.04/0.36 * CE 2 is refined into CE [13,14,15,16,17] 0.04/0.36 0.04/0.36 0.04/0.36 ### Cost equations --> "Loop" of eval_foo_bb0_in/2 0.04/0.36 * CEs [17] --> Loop 13 0.04/0.36 * CEs [16] --> Loop 14 0.04/0.36 * CEs [15] --> Loop 15 0.04/0.36 * CEs [13] --> Loop 16 0.04/0.36 * CEs [14] --> Loop 17 0.04/0.36 0.04/0.36 ### Ranking functions of CR eval_foo_bb0_in(V_i,B) 0.04/0.36 0.04/0.36 #### Partial ranking functions of CR eval_foo_bb0_in(V_i,B) 0.04/0.36 0.04/0.36 0.04/0.36 ### Specialization of cost equations eval_foo_start/2 0.04/0.36 * CE 1 is refined into CE [18,19,20,21,22] 0.04/0.36 0.04/0.36 0.04/0.36 ### Cost equations --> "Loop" of eval_foo_start/2 0.04/0.36 * CEs [22] --> Loop 18 0.04/0.36 * CEs [21] --> Loop 19 0.04/0.36 * CEs [20] --> Loop 20 0.04/0.36 * CEs [19] --> Loop 21 0.04/0.36 * CEs [18] --> Loop 22 0.04/0.36 0.04/0.36 ### Ranking functions of CR eval_foo_start(V_i,B) 0.04/0.36 0.04/0.36 #### Partial ranking functions of CR eval_foo_start(V_i,B) 0.04/0.36 0.04/0.36 0.04/0.36 Computing Bounds 0.04/0.36 ===================================== 0.04/0.36 0.04/0.36 #### Cost of chains of eval_foo_bb1_in(V__0,B): 0.04/0.36 * Chain [[10,11]]...: 2*it(10)+0 0.04/0.36 with precondition: [2>=V__0,V__0+2>=0,B=2] 0.04/0.36 0.04/0.36 * Chain [[10,11],12]: 2*it(10)+0 0.04/0.36 with precondition: [B=2,2>=V__0,V__0+2>=0] 0.04/0.36 0.04/0.36 * Chain [[8,9]]...: 2*it(8)+0 0.04/0.36 with precondition: [B=2] 0.04/0.36 0.04/0.36 * Chain [[8,9],[10,11]]...: 4*it(8)+0 0.04/0.36 with precondition: [B=2] 0.04/0.36 0.04/0.36 * Chain [[8,9],[10,11],12]: 4*it(8)+0 0.04/0.36 with precondition: [B=2] 0.04/0.36 0.04/0.36 * Chain [12]: 0 0.04/0.36 with precondition: [V__0=0,B=2] 0.04/0.36 0.04/0.36 0.04/0.36 #### Cost of chains of eval_foo_bb0_in(V_i,B): 0.04/0.36 * Chain [17]: 4*s(3)+0 0.04/0.36 with precondition: [] 0.04/0.36 0.04/0.36 * Chain [16]: 0 0.04/0.36 with precondition: [V_i=0] 0.04/0.36 0.04/0.36 * Chain [15]: 2*s(4)+0 0.04/0.36 with precondition: [2>=V_i,V_i+2>=0] 0.04/0.36 0.04/0.36 * Chain [14]...: 1*s(5)+0 0.04/0.36 with precondition: [] 0.04/0.36 0.04/0.36 * Chain [13]...: 2*s(6)+0 0.04/0.36 with precondition: [2>=V_i,V_i+2>=0] 0.04/0.36 0.04/0.36 0.04/0.36 #### Cost of chains of eval_foo_start(V_i,B): 0.04/0.36 * Chain [22]: 4*s(7)+0 0.04/0.36 with precondition: [] 0.04/0.36 0.04/0.36 * Chain [21]: 0 0.04/0.36 with precondition: [V_i=0] 0.04/0.36 0.04/0.36 * Chain [20]: 2*s(8)+0 0.04/0.36 with precondition: [2>=V_i,V_i+2>=0] 0.04/0.36 0.04/0.36 * Chain [19]...: 1*s(9)+0 0.04/0.36 with precondition: [] 0.04/0.36 0.04/0.36 * Chain [18]...: 2*s(10)+0 0.04/0.36 with precondition: [2>=V_i,V_i+2>=0] 0.04/0.36 0.04/0.36 0.04/0.36 Closed-form bounds of eval_foo_start(V_i,B): 0.04/0.36 ------------------------------------- 0.04/0.36 * Chain [22] with precondition: [] 0.04/0.36 - Upper bound: inf 0.04/0.36 - Complexity: infinity 0.04/0.36 * Chain [21] with precondition: [V_i=0] 0.04/0.36 - Upper bound: 0 0.04/0.36 - Complexity: constant 0.04/0.36 * Chain [20] with precondition: [2>=V_i,V_i+2>=0] 0.04/0.36 - Upper bound: inf 0.04/0.36 - Complexity: infinity 0.04/0.36 * Chain [19]... with precondition: [] 0.04/0.36 - Upper bound: inf 0.04/0.36 - Complexity: infinity 0.04/0.36 * Chain [18]... with precondition: [2>=V_i,V_i+2>=0] 0.04/0.36 - Upper bound: inf 0.04/0.36 - Complexity: infinity 0.04/0.36 0.04/0.36 ### Maximum cost of eval_foo_start(V_i,B): inf 0.04/0.36 Asymptotic class: infinity 0.04/0.36 * Total analysis performed in 245 ms. 0.04/0.36 0.04/0.46 EOF