0.05/0.24 MAYBE 0.05/0.24 0.05/0.24 Preprocessing Cost Relations 0.05/0.24 ===================================== 0.05/0.24 0.05/0.24 #### Computed strongly connected components 0.05/0.24 0. recursive : [eval_foo_2/4,eval_foo_3/5,eval_foo_bb1_in/4,eval_foo_bb2_in/4,eval_foo_bb3_in/5,eval_foo_bb4_in/5] 0.05/0.24 1. non_recursive : [eval_foo_stop/1] 0.05/0.24 2. non_recursive : [eval_foo_bb5_in/1] 0.05/0.24 3. non_recursive : [eval_foo_bb1_in_loop_cont/2] 0.05/0.24 4. non_recursive : [eval_foo_bb0_in/4] 0.05/0.24 5. non_recursive : [eval_foo_start/4] 0.05/0.24 0.05/0.24 #### Obtained direct recursion through partial evaluation 0.05/0.24 0. SCC is partially evaluated into eval_foo_bb1_in/4 0.05/0.24 1. SCC is completely evaluated into other SCCs 0.05/0.24 2. SCC is completely evaluated into other SCCs 0.05/0.24 3. SCC is completely evaluated into other SCCs 0.05/0.24 4. SCC is partially evaluated into eval_foo_bb0_in/4 0.05/0.24 5. SCC is partially evaluated into eval_foo_start/4 0.05/0.24 0.05/0.24 Control-Flow Refinement of Cost Relations 0.05/0.24 ===================================== 0.05/0.24 0.05/0.24 ### Specialization of cost equations eval_foo_bb1_in/4 0.05/0.24 * CE 10 is refined into CE [11] 0.05/0.24 * CE 9 is refined into CE [12] 0.05/0.24 * CE 8 is refined into CE [13] 0.05/0.24 0.05/0.24 0.05/0.24 ### Cost equations --> "Loop" of eval_foo_bb1_in/4 0.05/0.24 * CEs [12] --> Loop 11 0.05/0.24 * CEs [13] --> Loop 12 0.05/0.24 * CEs [11] --> Loop 13 0.05/0.24 0.05/0.24 ### Ranking functions of CR eval_foo_bb1_in(V_N,V__01,V__0,B) 0.05/0.24 0.05/0.24 #### Partial ranking functions of CR eval_foo_bb1_in(V_N,V__01,V__0,B) 0.05/0.24 * Partial RF of phase [11,12]: 0.05/0.24 - RF of loop [11:1]: 0.05/0.24 V_N-V__0+1 0.05/0.24 -V__0+536870912 0.05/0.24 0.05/0.24 0.05/0.24 ### Specialization of cost equations eval_foo_bb0_in/4 0.05/0.24 * CE 6 is refined into CE [14] 0.05/0.24 * CE 2 is refined into CE [15] 0.05/0.24 * CE 4 is refined into CE [16] 0.05/0.24 * CE 3 is refined into CE [17] 0.05/0.24 * CE 5 is refined into CE [18] 0.05/0.24 * CE 7 is refined into CE [19,20,21] 0.05/0.24 0.05/0.24 0.05/0.24 ### Cost equations --> "Loop" of eval_foo_bb0_in/4 0.05/0.24 * CEs [21] --> Loop 14 0.05/0.24 * CEs [14] --> Loop 15 0.05/0.24 * CEs [15] --> Loop 16 0.05/0.24 * CEs [16] --> Loop 17 0.05/0.24 * CEs [17] --> Loop 18 0.05/0.24 * CEs [20] --> Loop 19 0.05/0.24 * CEs [18] --> Loop 20 0.05/0.24 * CEs [19] --> Loop 21 0.05/0.24 0.05/0.24 ### Ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_N,B) 0.05/0.24 0.05/0.24 #### Partial ranking functions of CR eval_foo_bb0_in(V_x,V_y,V_N,B) 0.05/0.24 0.05/0.24 0.05/0.24 ### Specialization of cost equations eval_foo_start/4 0.05/0.24 * CE 1 is refined into CE [22,23,24,25,26,27,28,29] 0.05/0.24 0.05/0.24 0.05/0.24 ### Cost equations --> "Loop" of eval_foo_start/4 0.05/0.24 * CEs [29] --> Loop 22 0.05/0.24 * CEs [28] --> Loop 23 0.05/0.24 * CEs [27] --> Loop 24 0.05/0.24 * CEs [26] --> Loop 25 0.05/0.24 * CEs [25] --> Loop 26 0.05/0.24 * CEs [24] --> Loop 27 0.05/0.24 * CEs [23] --> Loop 28 0.05/0.24 * CEs [22] --> Loop 29 0.05/0.24 0.05/0.24 ### Ranking functions of CR eval_foo_start(V_x,V_y,V_N,B) 0.05/0.24 0.05/0.24 #### Partial ranking functions of CR eval_foo_start(V_x,V_y,V_N,B) 0.05/0.24 0.05/0.24 0.05/0.24 Computing Bounds 0.05/0.24 ===================================== 0.05/0.24 0.05/0.24 #### Cost of chains of eval_foo_bb1_in(V_N,V__01,V__0,B): 0.05/0.24 * Chain [[11,12]]...: 1*it(11)+1*it(12)+0 0.05/0.24 Such that:it(11) =< V_N-V__0+1 0.05/0.24 0.05/0.24 with precondition: [536870911>=V_N,V__0+V__01>=0,V__0+536870911>=0,V_N>=V__0,B=2] 0.05/0.24 0.05/0.24 * Chain [[11,12],13]: 1*it(11)+1*it(12)+0 0.05/0.24 Such that:it(11) =< V_N-V__0+1 0.05/0.24 0.05/0.24 with precondition: [B=2,536870911>=V_N,V__0+536870911>=0,V_N>=V__0,V__0+V__01>=0] 0.05/0.24 0.05/0.24 * Chain [13]: 0 0.05/0.24 with precondition: [B=2,536870911>=V_N,V__01+536870911>=0,V__0+536870911>=0,V__0>=V_N+1,V__0+V__01>=0] 0.05/0.24 0.05/0.24 0.05/0.24 #### Cost of chains of eval_foo_bb0_in(V_x,V_y,V_N,B): 0.05/0.24 * Chain [21]: 0 0.05/0.24 with precondition: [536870911>=V_x,536870911>=V_y,V_x>=V_N+1,V_x+V_y>=0] 0.05/0.24 0.05/0.24 * Chain [20]: 0 0.05/0.24 with precondition: [0>=V_x+1073741825] 0.05/0.24 0.05/0.24 * Chain [19]: 1*s(1)+1*s(2)+0 0.05/0.24 Such that:s(1) =< -V_x+V_N+1 0.05/0.24 0.05/0.24 with precondition: [536870911>=V_y,536870911>=V_N,V_N>=V_x,V_x+V_y>=0] 0.05/0.24 0.05/0.24 * Chain [18]: 0 0.05/0.24 with precondition: [V_x>=536870912] 0.05/0.24 0.05/0.24 * Chain [17]: 0 0.05/0.24 with precondition: [V_y>=536870912] 0.05/0.24 0.05/0.24 * Chain [16]: 0 0.05/0.24 with precondition: [V_N>=536870912] 0.05/0.24 0.05/0.24 * Chain [15]: 0 0.05/0.24 with precondition: [0>=V_x+V_y+1] 0.05/0.24 0.05/0.24 * Chain [14]...: 1*s(3)+1*s(4)+0 0.05/0.24 Such that:s(3) =< -V_x+V_N+1 0.05/0.24 0.05/0.24 with precondition: [536870911>=V_y,536870911>=V_N,V_N>=V_x,V_x+V_y>=0] 0.05/0.24 0.05/0.24 0.05/0.24 #### Cost of chains of eval_foo_start(V_x,V_y,V_N,B): 0.05/0.24 * Chain [29]: 0 0.05/0.24 with precondition: [536870911>=V_x,536870911>=V_y,V_x>=V_N+1,V_x+V_y>=0] 0.05/0.24 0.05/0.24 * Chain [28]: 0 0.05/0.24 with precondition: [0>=V_x+1073741825] 0.05/0.24 0.05/0.24 * Chain [27]: 1*s(5)+1*s(6)+0 0.05/0.24 Such that:s(5) =< -V_x+V_N+1 0.05/0.24 0.05/0.24 with precondition: [536870911>=V_y,536870911>=V_N,V_N>=V_x,V_x+V_y>=0] 0.05/0.24 0.05/0.24 * Chain [26]: 0 0.05/0.24 with precondition: [V_x>=536870912] 0.05/0.24 0.05/0.24 * Chain [25]: 0 0.05/0.24 with precondition: [V_y>=536870912] 0.05/0.24 0.05/0.24 * Chain [24]: 0 0.05/0.24 with precondition: [V_N>=536870912] 0.05/0.24 0.05/0.24 * Chain [23]: 0 0.05/0.24 with precondition: [0>=V_x+V_y+1] 0.05/0.24 0.05/0.24 * Chain [22]...: 1*s(7)+1*s(8)+0 0.05/0.24 Such that:s(7) =< -V_x+V_N+1 0.05/0.24 0.05/0.24 with precondition: [536870911>=V_y,536870911>=V_N,V_N>=V_x,V_x+V_y>=0] 0.05/0.24 0.05/0.24 0.05/0.24 Closed-form bounds of eval_foo_start(V_x,V_y,V_N,B): 0.05/0.24 ------------------------------------- 0.05/0.24 * Chain [29] with precondition: [536870911>=V_x,536870911>=V_y,V_x>=V_N+1,V_x+V_y>=0] 0.05/0.24 - Upper bound: 0 0.05/0.24 - Complexity: constant 0.05/0.24 * Chain [28] with precondition: [0>=V_x+1073741825] 0.05/0.24 - Upper bound: 0 0.05/0.24 - Complexity: constant 0.05/0.24 * Chain [27] with precondition: [536870911>=V_y,536870911>=V_N,V_N>=V_x,V_x+V_y>=0] 0.05/0.24 - Upper bound: inf 0.05/0.24 - Complexity: infinity 0.05/0.24 * Chain [26] with precondition: [V_x>=536870912] 0.05/0.24 - Upper bound: 0 0.05/0.24 - Complexity: constant 0.05/0.24 * Chain [25] with precondition: [V_y>=536870912] 0.05/0.24 - Upper bound: 0 0.05/0.24 - Complexity: constant 0.05/0.24 * Chain [24] with precondition: [V_N>=536870912] 0.05/0.24 - Upper bound: 0 0.05/0.24 - Complexity: constant 0.05/0.24 * Chain [23] with precondition: [0>=V_x+V_y+1] 0.05/0.24 - Upper bound: 0 0.05/0.24 - Complexity: constant 0.05/0.24 * Chain [22]... with precondition: [536870911>=V_y,536870911>=V_N,V_N>=V_x,V_x+V_y>=0] 0.05/0.24 - Upper bound: inf 0.05/0.24 - Complexity: infinity 0.05/0.24 0.05/0.24 ### Maximum cost of eval_foo_start(V_x,V_y,V_N,B): inf 0.05/0.24 Asymptotic class: infinity 0.05/0.24 * Total analysis performed in 160 ms. 0.05/0.24 0.05/0.34 EOF