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,eval_foo_bb3_in/3] 0.05/0.19 1. non_recursive : [eval_foo_stop/1] 0.05/0.19 2. non_recursive : [eval_foo_bb4_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 7 is refined into CE [8] 0.05/0.19 * CE 6 is refined into CE [9] 0.05/0.19 * CE 5 is refined into CE [10] 0.05/0.19 * CE 4 is refined into CE [11] 0.05/0.19 * CE 3 is refined into CE [12] 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 [10] --> Loop 8 0.05/0.19 * CEs [11] --> Loop 9 0.05/0.19 * CEs [12] --> Loop 10 0.05/0.19 * CEs [8] --> Loop 11 0.05/0.19 * CEs [9] --> Loop 12 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 * RF of phase [8,9]: [21*V__01-V__0-19] 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 [8,9]: 0.05/0.19 - RF of loop [8:1]: 0.05/0.19 -V__0+20 depends on loops [9:1] 0.05/0.19 V__01-V__0 depends on loops [9:1] 0.05/0.19 - RF of loop [9:1]: 0.05/0.19 V__0 depends on loops [8:1] 0.05/0.19 V__01 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 [13,14,15] 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 [15] --> Loop 13 0.05/0.19 * CEs [14] --> Loop 14 0.05/0.19 * CEs [13] --> Loop 15 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 [16,17,18] 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 [18] --> Loop 16 0.05/0.19 * CEs [17] --> Loop 17 0.05/0.19 * CEs [16] --> Loop 18 0.05/0.19 0.05/0.19 ### Ranking functions of CR eval_foo_start(V_i,V_range,B) 0.05/0.19 0.05/0.19 #### Partial ranking functions of CR eval_foo_start(V_i,V_range,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 [[8,9],[10]]...: 1*it(8)+1*it(9)+1*it(10)+0 0.05/0.19 Such that:it(9) =< V__01 0.05/0.19 aux(9) =< 21*V__01-V__0 0.05/0.19 it(8) =< aux(9) 0.05/0.19 it(9) =< aux(9) 0.05/0.19 0.05/0.19 with precondition: [B=2,20>=V__01,V__01>=1,V__0>=0,V__01>=V__0] 0.05/0.19 0.05/0.19 * Chain [12]: 0 0.05/0.19 with precondition: [V__01=20,B=2,0>=V__0+1] 0.05/0.19 0.05/0.19 * Chain [11]: 0 0.05/0.19 with precondition: [V__01=20,B=2,V__0>=21] 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 [15]: 0 0.05/0.19 with precondition: [0>=V_i+1] 0.05/0.19 0.05/0.19 * Chain [14]: 0 0.05/0.19 with precondition: [V_i>=21] 0.05/0.19 0.05/0.19 * Chain [13]...: 1*s(1)+1*s(3)+1*s(4)+0 0.05/0.19 Such that:s(1) =< 20 0.05/0.19 s(2) =< -V_i+420 0.05/0.19 s(3) =< s(2) 0.05/0.19 s(1) =< s(2) 0.05/0.19 0.05/0.19 with precondition: [20>=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_range,B): 0.05/0.19 * Chain [18]: 0 0.05/0.19 with precondition: [0>=V_i+1] 0.05/0.19 0.05/0.19 * Chain [17]: 0 0.05/0.19 with precondition: [V_i>=21] 0.05/0.19 0.05/0.19 * Chain [16]...: 1*s(5)+1*s(7)+1*s(8)+0 0.05/0.19 Such that:s(5) =< 20 0.05/0.19 s(6) =< -V_i+420 0.05/0.19 s(7) =< s(6) 0.05/0.19 s(5) =< s(6) 0.05/0.19 0.05/0.19 with precondition: [20>=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_range,B): 0.05/0.19 ------------------------------------- 0.05/0.19 * Chain [18] with precondition: [0>=V_i+1] 0.05/0.19 - Upper bound: 0 0.05/0.19 - Complexity: constant 0.05/0.19 * Chain [17] with precondition: [V_i>=21] 0.05/0.19 - Upper bound: 0 0.05/0.19 - Complexity: constant 0.05/0.19 * Chain [16]... with precondition: [20>=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_range,B): inf 0.05/0.19 Asymptotic class: infinity 0.05/0.19 * Total analysis performed in 118 ms. 0.05/0.19 0.05/0.30 EOF