0.05/0.28 MAYBE 0.05/0.28 0.05/0.28 Preprocessing Cost Relations 0.05/0.28 ===================================== 0.05/0.28 0.05/0.28 #### Computed strongly connected components 0.05/0.28 0. recursive : [eval_foo_bb1_in/3] 0.05/0.28 1. non_recursive : [eval_foo_stop/1] 0.05/0.28 2. non_recursive : [eval_foo_bb2_in/1] 0.05/0.28 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.28 4. non_recursive : [eval_foo_bb0_in/3] 0.05/0.28 5. non_recursive : [eval_foo_start/4] 0.05/0.28 0.05/0.28 #### Obtained direct recursion through partial evaluation 0.05/0.28 0. SCC is partially evaluated into eval_foo_bb1_in/3 0.05/0.28 1. SCC is completely evaluated into other SCCs 0.05/0.28 2. SCC is completely evaluated into other SCCs 0.05/0.28 3. SCC is completely evaluated into other SCCs 0.05/0.28 4. SCC is partially evaluated into eval_foo_bb0_in/3 0.05/0.28 5. SCC is partially evaluated into eval_foo_start/4 0.05/0.28 0.05/0.28 Control-Flow Refinement of Cost Relations 0.05/0.28 ===================================== 0.05/0.28 0.05/0.28 ### Specialization of cost equations eval_foo_bb1_in/3 0.05/0.28 * CE 7 is refined into CE [9] 0.05/0.28 * CE 8 is refined into CE [10] 0.05/0.28 * CE 6 is refined into CE [11] 0.05/0.28 * CE 4 is refined into CE [12] 0.05/0.28 * CE 5 is refined into CE [13] 0.05/0.28 * CE 3 is refined into CE [14] 0.05/0.28 0.05/0.28 0.05/0.28 ### Cost equations --> "Loop" of eval_foo_bb1_in/3 0.05/0.28 * CEs [11] --> Loop 9 0.05/0.28 * CEs [12] --> Loop 10 0.05/0.28 * CEs [13] --> Loop 11 0.05/0.28 * CEs [14] --> Loop 12 0.05/0.28 * CEs [9] --> Loop 13 0.05/0.28 * CEs [10] --> Loop 14 0.05/0.28 0.05/0.28 ### Ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 0.05/0.28 0.05/0.28 #### Partial ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 0.05/0.28 * Partial RF of phase [10,11]: 0.05/0.28 - RF of loop [10:1]: 0.05/0.28 -V__0/2 depends on loops [11:1] 0.05/0.28 V__01/2 depends on loops [11:1] 0.05/0.28 - RF of loop [11:1]: 0.05/0.28 V__0/2 depends on loops [10:1] 0.05/0.28 -V__01/2 depends on loops [10:1] 0.05/0.28 0.05/0.28 0.05/0.28 ### Specialization of cost equations eval_foo_bb0_in/3 0.05/0.28 * CE 2 is refined into CE [15,16,17,18,19] 0.05/0.28 0.05/0.28 0.05/0.28 ### Cost equations --> "Loop" of eval_foo_bb0_in/3 0.05/0.28 * CEs [19] --> Loop 15 0.05/0.28 * CEs [18] --> Loop 16 0.05/0.28 * CEs [17] --> Loop 17 0.05/0.28 * CEs [15] --> Loop 18 0.05/0.28 * CEs [16] --> Loop 19 0.05/0.28 0.05/0.28 ### Ranking functions of CR eval_foo_bb0_in(V_i,V_j,B) 0.05/0.28 0.05/0.28 #### Partial ranking functions of CR eval_foo_bb0_in(V_i,V_j,B) 0.05/0.28 0.05/0.28 0.05/0.28 ### Specialization of cost equations eval_foo_start/4 0.05/0.28 * CE 1 is refined into CE [20,21,22,23,24] 0.05/0.28 0.05/0.28 0.05/0.28 ### Cost equations --> "Loop" of eval_foo_start/4 0.05/0.28 * CEs [24] --> Loop 20 0.05/0.28 * CEs [23] --> Loop 21 0.05/0.28 * CEs [22] --> Loop 22 0.05/0.28 * CEs [21] --> Loop 23 0.05/0.28 * CEs [20] --> Loop 24 0.05/0.28 0.05/0.28 ### Ranking functions of CR eval_foo_start(V_i,V_j,V_t,B) 0.05/0.28 0.05/0.28 #### Partial ranking functions of CR eval_foo_start(V_i,V_j,V_t,B) 0.05/0.28 0.05/0.28 0.05/0.28 Computing Bounds 0.05/0.28 ===================================== 0.05/0.28 0.05/0.28 #### Cost of chains of eval_foo_bb1_in(V__01,V__0,B): 0.05/0.28 * Chain [[12]]...: 1*it(12)+0 0.05/0.28 with precondition: [0>=V__01+1,0>=V__0+1,B=2] 0.05/0.28 0.05/0.28 * Chain [[10,11]]...: 2*it(10)+0 0.05/0.28 with precondition: [B=2] 0.05/0.28 0.05/0.28 * Chain [[9]]...: 1*it(9)+0 0.05/0.28 with precondition: [V__01>=1,V__0>=1,B=2] 0.05/0.28 0.05/0.28 * Chain [14]: 0 0.05/0.28 with precondition: [V__01=0,B=2] 0.05/0.28 0.05/0.28 * Chain [13]: 0 0.05/0.28 with precondition: [V__0=0,B=2] 0.05/0.28 0.05/0.28 0.05/0.28 #### Cost of chains of eval_foo_bb0_in(V_i,V_j,B): 0.05/0.28 * Chain [19]: 0 0.05/0.28 with precondition: [V_i=0] 0.05/0.28 0.05/0.28 * Chain [18]: 0 0.05/0.28 with precondition: [V_j=0] 0.05/0.28 0.05/0.28 * Chain [17]...: 2*s(1)+0 0.05/0.28 with precondition: [] 0.05/0.28 0.05/0.28 * Chain [16]...: 1*s(2)+0 0.05/0.28 with precondition: [0>=V_i+1,0>=V_j+1] 0.05/0.28 0.05/0.28 * Chain [15]...: 1*s(3)+0 0.05/0.28 with precondition: [V_i>=1,V_j>=1] 0.05/0.28 0.05/0.28 0.05/0.28 #### Cost of chains of eval_foo_start(V_i,V_j,V_t,B): 0.05/0.28 * Chain [24]: 0 0.05/0.28 with precondition: [V_i=0] 0.05/0.28 0.05/0.28 * Chain [23]: 0 0.05/0.28 with precondition: [V_j=0] 0.05/0.28 0.05/0.28 * Chain [22]...: 2*s(4)+0 0.05/0.28 with precondition: [] 0.05/0.28 0.05/0.28 * Chain [21]...: 1*s(5)+0 0.05/0.28 with precondition: [0>=V_i+1,0>=V_j+1] 0.05/0.28 0.05/0.28 * Chain [20]...: 1*s(6)+0 0.05/0.28 with precondition: [V_i>=1,V_j>=1] 0.05/0.28 0.05/0.28 0.05/0.28 Closed-form bounds of eval_foo_start(V_i,V_j,V_t,B): 0.05/0.28 ------------------------------------- 0.05/0.28 * Chain [24] with precondition: [V_i=0] 0.05/0.28 - Upper bound: 0 0.05/0.28 - Complexity: constant 0.05/0.28 * Chain [23] with precondition: [V_j=0] 0.05/0.28 - Upper bound: 0 0.05/0.28 - Complexity: constant 0.05/0.28 * Chain [22]... with precondition: [] 0.05/0.28 - Upper bound: inf 0.05/0.28 - Complexity: infinity 0.05/0.28 * Chain [21]... with precondition: [0>=V_i+1,0>=V_j+1] 0.05/0.28 - Upper bound: inf 0.05/0.28 - Complexity: infinity 0.05/0.28 * Chain [20]... with precondition: [V_i>=1,V_j>=1] 0.05/0.28 - Upper bound: inf 0.05/0.28 - Complexity: infinity 0.05/0.28 0.05/0.28 ### Maximum cost of eval_foo_start(V_i,V_j,V_t,B): inf 0.05/0.28 Asymptotic class: infinity 0.05/0.28 * Total analysis performed in 184 ms. 0.05/0.28 0.05/0.38 EOF