0.05/0.29 MAYBE 0.05/0.29 WARNING: Excluded non-linear constraints:[F=A*C] 0.05/0.29 WARNING: Excluded non-linear constraints:[F= -A*C] 0.05/0.29 0.05/0.29 Preprocessing Cost Relations 0.05/0.29 ===================================== 0.05/0.29 0.05/0.29 #### Computed strongly connected components 0.05/0.29 0. recursive : [eval_foo_bb1_in/5,eval_foo_bb2_in/5,eval_foo_bb3_in/5,eval_foo_bb4_in/5,eval_foo_bb5_in/5,eval_foo_bb6_in/7] 0.05/0.29 1. non_recursive : [eval_foo_stop/1] 0.05/0.29 2. non_recursive : [eval_foo_bb7_in/1] 0.05/0.29 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.29 4. non_recursive : [eval_foo_bb0_in/4] 0.05/0.29 5. non_recursive : [eval_foo_start/6] 0.05/0.29 0.05/0.29 #### Obtained direct recursion through partial evaluation 0.05/0.29 0. SCC is partially evaluated into eval_foo_bb1_in/5 0.05/0.29 1. SCC is completely evaluated into other SCCs 0.05/0.29 2. SCC is completely evaluated into other SCCs 0.05/0.29 3. SCC is completely evaluated into other SCCs 0.05/0.29 4. SCC is partially evaluated into eval_foo_bb0_in/4 0.05/0.29 5. SCC is partially evaluated into eval_foo_start/6 0.05/0.29 0.05/0.29 Control-Flow Refinement of Cost Relations 0.05/0.29 ===================================== 0.05/0.29 0.05/0.29 ### Specialization of cost equations eval_foo_bb1_in/5 0.05/0.29 * CE 7 is refined into CE [9] 0.05/0.29 * CE 8 is refined into CE [10] 0.05/0.29 * CE 6 is refined into CE [11] 0.05/0.29 * CE 5 is refined into CE [12] 0.05/0.29 * CE 3 is refined into CE [13] 0.05/0.29 * CE 4 is refined into CE [14] 0.05/0.29 0.05/0.29 0.05/0.29 ### Cost equations --> "Loop" of eval_foo_bb1_in/5 0.05/0.29 * CEs [11] --> Loop 9 0.05/0.29 * CEs [12] --> Loop 10 0.05/0.29 * CEs [13] --> Loop 11 0.05/0.29 * CEs [14] --> Loop 12 0.05/0.29 * CEs [9] --> Loop 13 0.05/0.29 * CEs [10] --> Loop 14 0.05/0.29 0.05/0.29 ### Ranking functions of CR eval_foo_bb1_in(V_x,V_z,V__02,V__01,B) 0.05/0.29 0.05/0.29 #### Partial ranking functions of CR eval_foo_bb1_in(V_x,V_z,V__02,V__01,B) 0.05/0.29 0.05/0.29 0.05/0.29 ### Specialization of cost equations eval_foo_bb0_in/4 0.05/0.29 * CE 2 is refined into CE [15,16,17,18,19,20,21] 0.05/0.29 0.05/0.29 0.05/0.29 ### Cost equations --> "Loop" of eval_foo_bb0_in/4 0.05/0.29 * CEs [21] --> Loop 15 0.05/0.29 * CEs [20] --> Loop 16 0.05/0.29 * CEs [19] --> Loop 17 0.05/0.29 * CEs [18] --> Loop 18 0.05/0.29 * CEs [17] --> Loop 19 0.05/0.29 * CEs [16] --> Loop 20 0.05/0.29 * CEs [15] --> Loop 21 0.05/0.29 0.05/0.29 ### Ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_z,B) 0.05/0.29 0.05/0.29 #### Partial ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_z,B) 0.05/0.29 0.05/0.29 0.05/0.29 ### Specialization of cost equations eval_foo_start/6 0.05/0.29 * CE 1 is refined into CE [22,23,24,25,26,27,28] 0.05/0.29 0.05/0.29 0.05/0.29 ### Cost equations --> "Loop" of eval_foo_start/6 0.05/0.29 * CEs [28] --> Loop 22 0.05/0.29 * CEs [27] --> Loop 23 0.05/0.29 * CEs [26] --> Loop 24 0.05/0.29 * CEs [25] --> Loop 25 0.05/0.29 * CEs [24] --> Loop 26 0.05/0.29 * CEs [23] --> Loop 27 0.05/0.29 * CEs [22] --> Loop 28 0.05/0.29 0.05/0.29 ### Ranking functions of CR eval_foo_start(V_c,V_flag,V_x,V_y,V_z,B) 0.05/0.29 0.05/0.29 #### Partial ranking functions of CR eval_foo_start(V_c,V_flag,V_x,V_y,V_z,B) 0.05/0.29 0.05/0.29 0.05/0.29 Computing Bounds 0.05/0.29 ===================================== 0.05/0.29 0.05/0.29 #### Cost of chains of eval_foo_bb1_in(V_x,V_z,V__02,V__01,B): 0.05/0.29 * Chain [[10]]...: 1*it(10)+0 0.05/0.29 with precondition: [0>=V_x+2,V_z>=V__02+1,V__02>=1,V__01=1,B=2] 0.05/0.29 0.05/0.29 * Chain [[10],13]: 1*it(10)+0 0.05/0.29 with precondition: [V__01=1,B=2,0>=V_x+2,V__02>=1,V_z>=V__02+1] 0.05/0.29 0.05/0.29 * Chain [[10],11,14]: 1*it(10)+1 0.05/0.29 with precondition: [V__01=1,B=2,0>=V_x+2,V__02>=1,V_z>=V__02+1] 0.05/0.29 0.05/0.29 * Chain [[9]]...: 1*it(9)+0 0.05/0.29 with precondition: [V_x>=2,V_z>=V__02+1,V__02>=1,V__01=1,B=2] 0.05/0.29 0.05/0.29 * Chain [[9],13]: 1*it(9)+0 0.05/0.29 with precondition: [V__01=1,B=2,V_x>=2,V__02>=1,V_z>=V__02+1] 0.05/0.29 0.05/0.29 * Chain [[9],11,14]: 1*it(9)+1 0.05/0.29 with precondition: [V__01=1,B=2,V_x>=2,V__02>=1,V_z>=V__02+1] 0.05/0.29 0.05/0.29 * Chain [13]: 0 0.05/0.29 with precondition: [V__01=1,B=2,V__02>=V_z] 0.05/0.29 0.05/0.29 * Chain [12,14]: 1 0.05/0.29 with precondition: [V__01=1,B=2,1>=V_x,V_x+1>=0,V_z>=V__02+1] 0.05/0.29 0.05/0.29 * Chain [11,14]: 1 0.05/0.29 with precondition: [V__01=1,B=2,0>=V__02,V_z>=V__02+1] 0.05/0.29 0.05/0.29 0.05/0.29 #### Cost of chains of eval_foo_bb0_in(V_x,V_y,V_z,B): 0.05/0.29 * Chain [21]: 1 0.05/0.29 with precondition: [1>=V_x,V_x+1>=0,V_z>=V_y+1] 0.05/0.29 0.05/0.29 * Chain [20]: 1*s(5)+0 0.05/0.29 with precondition: [0>=V_x+2,V_y>=1,V_z>=V_y+1] 0.05/0.29 0.05/0.29 * Chain [19]: 1 0.05/0.29 with precondition: [0>=V_y,V_z>=V_y+1] 0.05/0.29 0.05/0.29 * Chain [18]: 1*s(6)+0 0.05/0.29 with precondition: [V_x>=2,V_y>=1,V_z>=V_y+1] 0.05/0.29 0.05/0.29 * Chain [17]: 0 0.05/0.29 with precondition: [V_y>=V_z] 0.05/0.29 0.05/0.29 * Chain [16]...: 1*s(7)+0 0.05/0.29 with precondition: [0>=V_x+2,V_y>=1,V_z>=V_y+1] 0.05/0.29 0.05/0.29 * Chain [15]...: 1*s(8)+0 0.05/0.29 with precondition: [V_x>=2,V_y>=1,V_z>=V_y+1] 0.05/0.29 0.05/0.29 0.05/0.29 #### Cost of chains of eval_foo_start(V_c,V_flag,V_x,V_y,V_z,B): 0.05/0.29 * Chain [28]: 1 0.05/0.29 with precondition: [1>=V_x,V_x+1>=0,V_z>=V_y+1] 0.05/0.29 0.05/0.29 * Chain [27]: 1*s(9)+0 0.05/0.29 with precondition: [0>=V_x+2,V_y>=1,V_z>=V_y+1] 0.05/0.29 0.05/0.29 * Chain [26]: 1 0.05/0.29 with precondition: [0>=V_y,V_z>=V_y+1] 0.05/0.29 0.05/0.29 * Chain [25]: 1*s(10)+0 0.05/0.29 with precondition: [V_x>=2,V_y>=1,V_z>=V_y+1] 0.05/0.29 0.05/0.29 * Chain [24]: 0 0.05/0.29 with precondition: [V_y>=V_z] 0.05/0.29 0.05/0.29 * Chain [23]...: 1*s(11)+0 0.05/0.29 with precondition: [0>=V_x+2,V_y>=1,V_z>=V_y+1] 0.05/0.29 0.05/0.29 * Chain [22]...: 1*s(12)+0 0.05/0.29 with precondition: [V_x>=2,V_y>=1,V_z>=V_y+1] 0.05/0.29 0.05/0.29 0.05/0.29 Closed-form bounds of eval_foo_start(V_c,V_flag,V_x,V_y,V_z,B): 0.05/0.29 ------------------------------------- 0.05/0.29 * Chain [28] with precondition: [1>=V_x,V_x+1>=0,V_z>=V_y+1] 0.05/0.29 - Upper bound: 1 0.05/0.29 - Complexity: constant 0.05/0.29 * Chain [27] with precondition: [0>=V_x+2,V_y>=1,V_z>=V_y+1] 0.05/0.29 - Upper bound: inf 0.05/0.29 - Complexity: infinity 0.05/0.29 * Chain [26] with precondition: [0>=V_y,V_z>=V_y+1] 0.05/0.29 - Upper bound: 1 0.05/0.29 - Complexity: constant 0.05/0.29 * Chain [25] with precondition: [V_x>=2,V_y>=1,V_z>=V_y+1] 0.05/0.29 - Upper bound: inf 0.05/0.29 - Complexity: infinity 0.05/0.29 * Chain [24] with precondition: [V_y>=V_z] 0.05/0.29 - Upper bound: 0 0.05/0.29 - Complexity: constant 0.05/0.29 * Chain [23]... with precondition: [0>=V_x+2,V_y>=1,V_z>=V_y+1] 0.05/0.29 - Upper bound: inf 0.05/0.29 - Complexity: infinity 0.05/0.29 * Chain [22]... with precondition: [V_x>=2,V_y>=1,V_z>=V_y+1] 0.05/0.29 - Upper bound: inf 0.05/0.29 - Complexity: infinity 0.05/0.29 0.05/0.29 ### Maximum cost of eval_foo_start(V_c,V_flag,V_x,V_y,V_z,B): inf 0.05/0.29 Asymptotic class: infinity 0.05/0.29 * Total analysis performed in 213 ms. 0.05/0.29 0.05/0.39 EOF