0.05/0.45 WORST_CASE(?,O(n^1)) 0.05/0.45 0.05/0.45 Preprocessing Cost Relations 0.05/0.45 ===================================== 0.05/0.45 0.05/0.45 #### Computed strongly connected components 0.05/0.45 0. recursive : [eval_start_bb1_in/7,eval_start_bb2_in/7] 0.05/0.45 1. recursive : [eval_start_bb3_in/4,eval_start_bb4_in/4] 0.05/0.45 2. recursive : [eval_start_bb5_in/3,eval_start_bb6_in/3] 0.05/0.45 3. non_recursive : [eval_start_stop/7] 0.05/0.45 4. non_recursive : [eval_start_bb7_in/7] 0.05/0.45 5. non_recursive : [exit_location/1] 0.05/0.45 6. non_recursive : [eval_start_bb5_in_loop_cont/8] 0.05/0.45 7. non_recursive : [eval_start_bb3_in_loop_cont/8] 0.05/0.45 8. non_recursive : [eval_start_bb1_in_loop_cont/8] 0.05/0.45 9. non_recursive : [eval_start_5/7] 0.05/0.45 10. non_recursive : [eval_start_4/7] 0.05/0.45 11. non_recursive : [eval_start_3/7] 0.05/0.45 12. non_recursive : [eval_start_2/7] 0.05/0.45 13. non_recursive : [eval_start_1/7] 0.05/0.45 14. non_recursive : [eval_start_0/7] 0.05/0.45 15. non_recursive : [eval_start_bb0_in/7] 0.05/0.45 16. non_recursive : [eval_start_start/7] 0.05/0.45 0.05/0.45 #### Obtained direct recursion through partial evaluation 0.05/0.45 0. SCC is partially evaluated into eval_start_bb1_in/7 0.05/0.45 1. SCC is partially evaluated into eval_start_bb3_in/4 0.05/0.45 2. SCC is partially evaluated into eval_start_bb5_in/3 0.05/0.45 3. SCC is completely evaluated into other SCCs 0.05/0.45 4. SCC is completely evaluated into other SCCs 0.05/0.45 5. SCC is completely evaluated into other SCCs 0.05/0.45 6. SCC is partially evaluated into eval_start_bb5_in_loop_cont/8 0.05/0.45 7. SCC is partially evaluated into eval_start_bb3_in_loop_cont/8 0.05/0.45 8. SCC is partially evaluated into eval_start_bb1_in_loop_cont/8 0.05/0.45 9. SCC is partially evaluated into eval_start_5/7 0.05/0.45 10. SCC is completely evaluated into other SCCs 0.05/0.45 11. SCC is completely evaluated into other SCCs 0.05/0.45 12. SCC is completely evaluated into other SCCs 0.05/0.45 13. SCC is completely evaluated into other SCCs 0.05/0.45 14. SCC is completely evaluated into other SCCs 0.05/0.45 15. SCC is completely evaluated into other SCCs 0.05/0.45 16. SCC is partially evaluated into eval_start_start/7 0.05/0.45 0.05/0.45 Control-Flow Refinement of Cost Relations 0.05/0.45 ===================================== 0.05/0.45 0.05/0.45 ### Specialization of cost equations eval_start_bb1_in/7 0.05/0.45 * CE 4 is refined into CE [18] 0.05/0.45 * CE 5 is refined into CE [19] 0.05/0.45 * CE 3 is refined into CE [20] 0.05/0.45 0.05/0.45 0.05/0.45 ### Cost equations --> "Loop" of eval_start_bb1_in/7 0.05/0.45 * CEs [20] --> Loop 18 0.05/0.45 * CEs [18] --> Loop 19 0.05/0.45 * CEs [19] --> Loop 20 0.05/0.45 0.05/0.45 ### Ranking functions of CR eval_start_bb1_in(V__0,V__01,V__12,B,C,D,E) 0.05/0.45 * RF of phase [18]: [V__0-V__01] 0.05/0.45 0.05/0.45 #### Partial ranking functions of CR eval_start_bb1_in(V__0,V__01,V__12,B,C,D,E) 0.05/0.45 * Partial RF of phase [18]: 0.05/0.45 - RF of loop [18:1]: 0.05/0.45 V__0-V__01 0.05/0.45 0.05/0.45 0.05/0.45 ### Specialization of cost equations eval_start_bb3_in/4 0.05/0.45 * CE 9 is refined into CE [21] 0.05/0.45 * CE 10 is refined into CE [22] 0.05/0.45 * CE 8 is refined into CE [23] 0.05/0.45 0.05/0.45 0.05/0.45 ### Cost equations --> "Loop" of eval_start_bb3_in/4 0.05/0.45 * CEs [23] --> Loop 21 0.05/0.45 * CEs [21] --> Loop 22 0.05/0.45 * CEs [22] --> Loop 23 0.05/0.45 0.05/0.45 ### Ranking functions of CR eval_start_bb3_in(V__1,V__12,B,C) 0.05/0.45 * RF of phase [21]: [V__12] 0.05/0.45 0.05/0.45 #### Partial ranking functions of CR eval_start_bb3_in(V__1,V__12,B,C) 0.05/0.45 * Partial RF of phase [21]: 0.05/0.45 - RF of loop [21:1]: 0.05/0.45 V__12 0.05/0.45 0.05/0.45 0.05/0.45 ### Specialization of cost equations eval_start_bb5_in/3 0.05/0.45 * CE 15 is refined into CE [24] 0.05/0.45 * CE 14 is refined into CE [25] 0.05/0.45 * CE 13 is refined into CE [26] 0.05/0.45 0.05/0.45 0.05/0.45 ### Cost equations --> "Loop" of eval_start_bb5_in/3 0.05/0.45 * CEs [26] --> Loop 24 0.05/0.45 * CEs [24] --> Loop 25 0.05/0.45 * CEs [25] --> Loop 26 0.05/0.45 0.05/0.45 ### Ranking functions of CR eval_start_bb5_in(V__1,B,C) 0.05/0.45 * RF of phase [24]: [-V__1] 0.05/0.45 0.05/0.45 #### Partial ranking functions of CR eval_start_bb5_in(V__1,B,C) 0.05/0.45 * Partial RF of phase [24]: 0.05/0.45 - RF of loop [24:1]: 0.05/0.45 -V__1 0.05/0.45 0.05/0.45 0.05/0.45 ### Specialization of cost equations eval_start_bb5_in_loop_cont/8 0.05/0.45 * CE 17 is refined into CE [27] 0.05/0.45 * CE 16 is refined into CE [28] 0.05/0.45 0.05/0.45 0.05/0.45 ### Cost equations --> "Loop" of eval_start_bb5_in_loop_cont/8 0.05/0.45 * CEs [27] --> Loop 27 0.05/0.45 * CEs [28] --> Loop 28 0.05/0.45 0.05/0.45 ### Ranking functions of CR eval_start_bb5_in_loop_cont(A,B,C,D,E,F,G,H) 0.05/0.45 0.05/0.45 #### Partial ranking functions of CR eval_start_bb5_in_loop_cont(A,B,C,D,E,F,G,H) 0.05/0.45 0.05/0.45 0.05/0.45 ### Specialization of cost equations eval_start_bb3_in_loop_cont/8 0.05/0.45 * CE 12 is refined into CE [29,30,31,32] 0.05/0.45 * CE 11 is refined into CE [33] 0.05/0.45 0.05/0.45 0.05/0.45 ### Cost equations --> "Loop" of eval_start_bb3_in_loop_cont/8 0.05/0.45 * CEs [30] --> Loop 29 0.05/0.45 * CEs [29,32] --> Loop 30 0.05/0.45 * CEs [31] --> Loop 31 0.05/0.45 * CEs [33] --> Loop 32 0.05/0.45 0.05/0.45 ### Ranking functions of CR eval_start_bb3_in_loop_cont(A,B,C,D,E,F,G,H) 0.05/0.45 0.05/0.45 #### Partial ranking functions of CR eval_start_bb3_in_loop_cont(A,B,C,D,E,F,G,H) 0.05/0.45 0.05/0.45 0.05/0.45 ### Specialization of cost equations eval_start_bb1_in_loop_cont/8 0.05/0.45 * CE 7 is refined into CE [34,35,36,37,38,39,40,41] 0.05/0.45 * CE 6 is refined into CE [42] 0.05/0.45 0.05/0.45 0.05/0.45 ### Cost equations --> "Loop" of eval_start_bb1_in_loop_cont/8 0.05/0.45 * CEs [35,36] --> Loop 33 0.05/0.45 * CEs [38] --> Loop 34 0.05/0.45 * CEs [41] --> Loop 35 0.05/0.45 * CEs [39] --> Loop 36 0.05/0.45 * CEs [37] --> Loop 37 0.05/0.45 * CEs [40] --> Loop 38 0.05/0.45 * CEs [34] --> Loop 39 0.05/0.45 * CEs [42] --> Loop 40 0.05/0.45 0.05/0.45 ### Ranking functions of CR eval_start_bb1_in_loop_cont(A,B,C,D,E,F,G,H) 0.05/0.45 0.05/0.45 #### Partial ranking functions of CR eval_start_bb1_in_loop_cont(A,B,C,D,E,F,G,H) 0.05/0.45 0.05/0.45 0.05/0.45 ### Specialization of cost equations eval_start_5/7 0.05/0.45 * CE 2 is refined into CE [43,44,45,46,47,48,49,50,51,52,53,54,55,56,57] 0.05/0.45 0.05/0.45 0.05/0.45 ### Cost equations --> "Loop" of eval_start_5/7 0.05/0.45 * CEs [44,52] --> Loop 41 0.05/0.45 * CEs [45] --> Loop 42 0.05/0.45 * CEs [56,57] --> Loop 43 0.05/0.45 * CEs [53] --> Loop 44 0.05/0.45 * CEs [54] --> Loop 45 0.05/0.45 * CEs [51] --> Loop 46 0.05/0.45 * CEs [50] --> Loop 47 0.05/0.45 * CEs [48] --> Loop 48 0.05/0.45 * CEs [47] --> Loop 49 0.05/0.45 * CEs [46] --> Loop 50 0.05/0.45 * CEs [55] --> Loop 51 0.05/0.45 * CEs [49] --> Loop 52 0.05/0.45 * CEs [43] --> Loop 53 0.05/0.45 0.05/0.45 ### Ranking functions of CR eval_start_5(V__0,V__01,V__1,V__12,V_x,V_y,B) 0.05/0.45 0.05/0.45 #### Partial ranking functions of CR eval_start_5(V__0,V__01,V__1,V__12,V_x,V_y,B) 0.05/0.45 0.05/0.45 0.05/0.45 ### Specialization of cost equations eval_start_start/7 0.05/0.45 * CE 1 is refined into CE [58,59,60,61,62,63,64,65,66,67,68,69,70] 0.05/0.45 0.05/0.45 0.05/0.45 ### Cost equations --> "Loop" of eval_start_start/7 0.05/0.45 * CEs [70] --> Loop 54 0.05/0.45 * CEs [69] --> Loop 55 0.05/0.45 * CEs [68] --> Loop 56 0.05/0.45 * CEs [67] --> Loop 57 0.05/0.45 * CEs [66] --> Loop 58 0.05/0.45 * CEs [65] --> Loop 59 0.05/0.45 * CEs [64] --> Loop 60 0.05/0.45 * CEs [63] --> Loop 61 0.05/0.45 * CEs [62] --> Loop 62 0.05/0.45 * CEs [61] --> Loop 63 0.05/0.45 * CEs [60] --> Loop 64 0.05/0.45 * CEs [59] --> Loop 65 0.05/0.45 * CEs [58] --> Loop 66 0.05/0.45 0.05/0.45 ### Ranking functions of CR eval_start_start(V__0,V__01,V__1,V__12,V_x,V_y,B) 0.05/0.45 0.05/0.45 #### Partial ranking functions of CR eval_start_start(V__0,V__01,V__1,V__12,V_x,V_y,B) 0.05/0.45 0.05/0.45 0.05/0.45 Computing Bounds 0.05/0.45 ===================================== 0.05/0.45 0.05/0.45 #### Cost of chains of eval_start_bb1_in(V__0,V__01,V__12,B,C,D,E): 0.05/0.45 * Chain [[18],20]: 1*it(18)+0 0.05/0.45 Such that:it(18) =< V__0-V__01 0.05/0.45 0.05/0.45 with precondition: [B=3,V__0>=V__01+1] 0.05/0.45 0.05/0.45 * Chain [[18],19]: 1*it(18)+0 0.05/0.45 Such that:it(18) =< -V__0/999+C/999 0.05/0.45 0.05/0.45 with precondition: [B=5,1000*V__0=999*V__01+C,1000*V__0=999*V__01+D,1000*V__0=999*V__01+E,V__0>=V__01+1] 0.05/0.45 0.05/0.45 * Chain [20]: 0 0.05/0.45 with precondition: [B=3] 0.05/0.45 0.05/0.45 * Chain [19]: 0 0.05/0.45 with precondition: [B=5,V__0=C,V__01=D,V__01=E,V__01>=V__0] 0.05/0.45 0.05/0.45 0.05/0.45 #### Cost of chains of eval_start_bb3_in(V__1,V__12,B,C): 0.05/0.45 * Chain [[21],23]: 1*it(21)+0 0.05/0.45 Such that:it(21) =< V__12 0.05/0.45 0.05/0.45 with precondition: [B=3,V__12>=1] 0.05/0.45 0.05/0.45 * Chain [[21],22]: 1*it(21)+0 0.05/0.45 Such that:it(21) =< V__12 0.05/0.45 0.05/0.45 with precondition: [B=4,C=0,V__12>=1] 0.05/0.45 0.05/0.45 * Chain [23]: 0 0.05/0.45 with precondition: [B=3] 0.05/0.45 0.05/0.45 * Chain [22]: 0 0.05/0.45 with precondition: [B=4,V__12=C,0>=V__12] 0.05/0.45 0.05/0.45 0.05/0.45 #### Cost of chains of eval_start_bb5_in(V__1,B,C): 0.05/0.45 * Chain [[24],26]: 1*it(24)+0 0.05/0.45 Such that:it(24) =< -V__1 0.05/0.45 0.05/0.45 with precondition: [B=2,C=0,0>=V__1+1] 0.05/0.45 0.05/0.45 * Chain [[24],25]: 1*it(24)+0 0.05/0.45 Such that:it(24) =< -V__1 0.05/0.45 0.05/0.45 with precondition: [B=3,0>=V__1+1] 0.05/0.45 0.05/0.45 * Chain [26]: 0 0.05/0.45 with precondition: [B=2,V__1=C,V__1>=0] 0.05/0.45 0.05/0.45 * Chain [25]: 0 0.05/0.45 with precondition: [B=3] 0.05/0.45 0.05/0.45 0.05/0.45 #### Cost of chains of eval_start_bb5_in_loop_cont(A,B,C,D,E,F,G,H): 0.05/0.45 * Chain [28]: 0 0.05/0.45 with precondition: [A=2] 0.05/0.45 0.05/0.45 * Chain [27]: 0 0.05/0.45 with precondition: [A=3] 0.05/0.45 0.05/0.45 0.05/0.45 #### Cost of chains of eval_start_bb3_in_loop_cont(A,B,C,D,E,F,G,H): 0.05/0.45 * Chain [32]: 0 0.05/0.45 with precondition: [A=3,D=B] 0.05/0.45 0.05/0.45 * Chain [31]: 0 0.05/0.45 with precondition: [A=4,D=B] 0.05/0.45 0.05/0.45 * Chain [30]: 2*s(1)+0 0.05/0.45 Such that:aux(1) =< -D 0.05/0.45 s(1) =< aux(1) 0.05/0.45 0.05/0.45 with precondition: [A=4,D=B,0>=D+1] 0.05/0.45 0.05/0.45 * Chain [29]: 0 0.05/0.45 with precondition: [A=4,D=B,D>=0] 0.05/0.45 0.05/0.45 0.05/0.45 #### Cost of chains of eval_start_bb1_in_loop_cont(A,B,C,D,E,F,G,H): 0.05/0.45 * Chain [40]: 0 0.05/0.45 with precondition: [A=3] 0.05/0.45 0.05/0.45 * Chain [39]: 0 0.05/0.45 with precondition: [A=5] 0.05/0.45 0.05/0.45 * Chain [38]: 2*s(4)+0 0.05/0.45 Such that:s(3) =< -B 0.05/0.45 s(4) =< s(3) 0.05/0.45 0.05/0.45 with precondition: [A=5,0>=B+1,0>=E] 0.05/0.45 0.05/0.45 * Chain [37]: 1*s(5)+2*s(7)+0 0.05/0.45 Such that:s(6) =< -B 0.05/0.45 s(5) =< E 0.05/0.45 s(7) =< s(6) 0.05/0.45 0.05/0.45 with precondition: [A=5,0>=B+1,E>=1] 0.05/0.45 0.05/0.45 * Chain [36]: 0 0.05/0.45 with precondition: [A=5,0>=E] 0.05/0.45 0.05/0.45 * Chain [35]: 0 0.05/0.45 with precondition: [A=5,0>=E,B>=0] 0.05/0.45 0.05/0.45 * Chain [34]: 1*s(8)+0 0.05/0.45 Such that:s(8) =< E 0.05/0.45 0.05/0.45 with precondition: [A=5,B>=0,E>=1] 0.05/0.45 0.05/0.45 * Chain [33]: 2*s(9)+0 0.05/0.45 Such that:aux(2) =< E 0.05/0.45 s(9) =< aux(2) 0.05/0.45 0.05/0.45 with precondition: [A=5,E>=1] 0.05/0.45 0.05/0.45 0.05/0.45 #### Cost of chains of eval_start_5(V__0,V__01,V__1,V__12,V_x,V_y,B): 0.05/0.45 * Chain [53]: 0 0.05/0.45 with precondition: [] 0.05/0.45 0.05/0.45 * Chain [52]: 0 0.05/0.45 with precondition: [V_x=0,V_y=0] 0.05/0.45 0.05/0.45 * Chain [51]: 1*s(11)+0 0.05/0.45 Such that:s(11) =< -V_y/1000 0.05/0.45 0.05/0.45 with precondition: [1000*V_x=999*V_y,0>=V_x+999] 0.05/0.45 0.05/0.45 * Chain [50]: 2*s(13)+0 0.05/0.45 Such that:s(12) =< -V_x 0.05/0.45 s(13) =< s(12) 0.05/0.45 0.05/0.45 with precondition: [0>=V_x+1,0>=V_y,V_y>=V_x] 0.05/0.45 0.05/0.45 * Chain [49]: 1*s(15)+2*s(16)+0 0.05/0.45 Such that:s(14) =< -V_x 0.05/0.45 s(15) =< V_y 0.05/0.45 s(16) =< s(14) 0.05/0.45 0.05/0.45 with precondition: [0>=V_x+1,V_y>=1] 0.05/0.45 0.05/0.45 * Chain [48]: 0 0.05/0.45 with precondition: [0>=V_y,V_y>=V_x] 0.05/0.45 0.05/0.45 * Chain [47]: 1*s(17)+0 0.05/0.45 Such that:s(17) =< V_y 0.05/0.45 0.05/0.45 with precondition: [V_x>=0,V_y>=1,V_y>=V_x] 0.05/0.45 0.05/0.45 * Chain [46]: 2*s(19)+0 0.05/0.45 Such that:s(18) =< V_y 0.05/0.45 s(19) =< s(18) 0.05/0.45 0.05/0.45 with precondition: [V_y>=1,V_y>=V_x] 0.05/0.45 0.05/0.45 * Chain [45]: 1*s(20)+0 0.05/0.45 Such that:s(20) =< V_x-V_y 0.05/0.45 0.05/0.45 with precondition: [999*V_y>=1000*V_x,V_x>=V_y+1] 0.05/0.45 0.05/0.45 * Chain [44]: 1*s(21)+2*s(23)+0 0.05/0.45 Such that:s(22) =< -1000*V_x+999*V_y 0.05/0.45 s(21) =< V_x-V_y 0.05/0.45 s(23) =< s(22) 0.05/0.45 0.05/0.45 with precondition: [999*V_y>=1000*V_x+1,V_x>=V_y+1] 0.05/0.45 0.05/0.45 * Chain [43]: 2*s(24)+3*s(25)+0 0.05/0.45 Such that:aux(3) =< V_x-V_y 0.05/0.45 aux(4) =< 1000*V_x-999*V_y 0.05/0.45 s(24) =< aux(3) 0.05/0.45 s(25) =< aux(4) 0.05/0.45 0.05/0.45 with precondition: [1000*V_x>=999*V_y+1,V_x>=V_y+1] 0.05/0.45 0.05/0.45 * Chain [42]: 0 0.05/0.45 with precondition: [V_y>=V_x] 0.05/0.45 0.05/0.45 * Chain [41]: 2*s(29)+0 0.05/0.45 Such that:aux(5) =< V_x-V_y 0.05/0.45 s(29) =< aux(5) 0.05/0.45 0.05/0.45 with precondition: [V_x>=V_y+1] 0.05/0.45 0.05/0.45 0.05/0.45 #### Cost of chains of eval_start_start(V__0,V__01,V__1,V__12,V_x,V_y,B): 0.05/0.45 * Chain [66]: 0 0.05/0.45 with precondition: [] 0.05/0.45 0.05/0.45 * Chain [65]: 0 0.05/0.45 with precondition: [V_x=0,V_y=0] 0.05/0.45 0.05/0.45 * Chain [64]: 1*s(31)+0 0.05/0.45 Such that:s(31) =< -V_y/1000 0.05/0.45 0.05/0.45 with precondition: [1000*V_x=999*V_y,0>=V_x+999] 0.05/0.45 0.05/0.45 * Chain [63]: 2*s(33)+0 0.05/0.45 Such that:s(32) =< -V_x 0.05/0.45 s(33) =< s(32) 0.05/0.45 0.05/0.45 with precondition: [0>=V_x+1,0>=V_y,V_y>=V_x] 0.05/0.45 0.05/0.45 * Chain [62]: 1*s(35)+2*s(36)+0 0.05/0.45 Such that:s(34) =< -V_x 0.05/0.45 s(35) =< V_y 0.05/0.45 s(36) =< s(34) 0.05/0.45 0.05/0.45 with precondition: [0>=V_x+1,V_y>=1] 0.05/0.45 0.05/0.45 * Chain [61]: 0 0.05/0.45 with precondition: [0>=V_y,V_y>=V_x] 0.05/0.45 0.05/0.45 * Chain [60]: 1*s(37)+0 0.05/0.45 Such that:s(37) =< V_y 0.05/0.45 0.05/0.45 with precondition: [V_x>=0,V_y>=1,V_y>=V_x] 0.05/0.45 0.05/0.45 * Chain [59]: 2*s(39)+0 0.05/0.45 Such that:s(38) =< V_y 0.05/0.45 s(39) =< s(38) 0.05/0.45 0.05/0.45 with precondition: [V_y>=1,V_y>=V_x] 0.05/0.45 0.05/0.45 * Chain [58]: 1*s(40)+0 0.05/0.45 Such that:s(40) =< V_x-V_y 0.05/0.45 0.05/0.45 with precondition: [999*V_y>=1000*V_x,V_x>=V_y+1] 0.05/0.45 0.05/0.45 * Chain [57]: 1*s(42)+2*s(43)+0 0.05/0.45 Such that:s(41) =< -1000*V_x+999*V_y 0.05/0.45 s(42) =< V_x-V_y 0.05/0.45 s(43) =< s(41) 0.05/0.45 0.05/0.45 with precondition: [999*V_y>=1000*V_x+1,V_x>=V_y+1] 0.05/0.45 0.05/0.45 * Chain [56]: 2*s(46)+3*s(47)+0 0.05/0.45 Such that:s(44) =< V_x-V_y 0.05/0.45 s(45) =< 1000*V_x-999*V_y 0.05/0.45 s(46) =< s(44) 0.05/0.45 s(47) =< s(45) 0.05/0.45 0.05/0.45 with precondition: [1000*V_x>=999*V_y+1,V_x>=V_y+1] 0.05/0.45 0.05/0.45 * Chain [55]: 0 0.05/0.45 with precondition: [V_y>=V_x] 0.05/0.45 0.05/0.45 * Chain [54]: 2*s(49)+0 0.05/0.45 Such that:s(48) =< V_x-V_y 0.05/0.45 s(49) =< s(48) 0.05/0.45 0.05/0.45 with precondition: [V_x>=V_y+1] 0.05/0.45 0.05/0.45 0.05/0.45 Closed-form bounds of eval_start_start(V__0,V__01,V__1,V__12,V_x,V_y,B): 0.05/0.45 ------------------------------------- 0.05/0.45 * Chain [66] with precondition: [] 0.05/0.45 - Upper bound: 0 0.05/0.45 - Complexity: constant 0.05/0.45 * Chain [65] with precondition: [V_x=0,V_y=0] 0.05/0.45 - Upper bound: 0 0.05/0.45 - Complexity: constant 0.05/0.45 * Chain [64] with precondition: [1000*V_x=999*V_y,0>=V_x+999] 0.05/0.45 - Upper bound: -V_y/1000 0.05/0.45 - Complexity: n 0.05/0.45 * Chain [63] with precondition: [0>=V_x+1,0>=V_y,V_y>=V_x] 0.05/0.45 - Upper bound: -2*V_x 0.05/0.45 - Complexity: n 0.05/0.45 * Chain [62] with precondition: [0>=V_x+1,V_y>=1] 0.05/0.45 - Upper bound: -2*V_x+V_y 0.05/0.45 - Complexity: n 0.05/0.45 * Chain [61] with precondition: [0>=V_y,V_y>=V_x] 0.05/0.45 - Upper bound: 0 0.05/0.45 - Complexity: constant 0.05/0.45 * Chain [60] with precondition: [V_x>=0,V_y>=1,V_y>=V_x] 0.05/0.45 - Upper bound: V_y 0.05/0.45 - Complexity: n 0.05/0.45 * Chain [59] with precondition: [V_y>=1,V_y>=V_x] 0.05/0.45 - Upper bound: 2*V_y 0.05/0.45 - Complexity: n 0.05/0.45 * Chain [58] with precondition: [999*V_y>=1000*V_x,V_x>=V_y+1] 0.05/0.45 - Upper bound: V_x-V_y 0.05/0.45 - Complexity: n 0.05/0.45 * Chain [57] with precondition: [999*V_y>=1000*V_x+1,V_x>=V_y+1] 0.05/0.45 - Upper bound: -1999*V_x+1997*V_y 0.05/0.45 - Complexity: n 0.05/0.45 * Chain [56] with precondition: [1000*V_x>=999*V_y+1,V_x>=V_y+1] 0.05/0.45 - Upper bound: 3002*V_x-2999*V_y 0.05/0.45 - Complexity: n 0.05/0.45 * Chain [55] with precondition: [V_y>=V_x] 0.05/0.45 - Upper bound: 0 0.05/0.45 - Complexity: constant 0.05/0.45 * Chain [54] with precondition: [V_x>=V_y+1] 0.05/0.45 - Upper bound: 2*V_x-2*V_y 0.05/0.45 - Complexity: n 0.05/0.45 0.05/0.45 ### Maximum cost of eval_start_start(V__0,V__01,V__1,V__12,V_x,V_y,B): max([max([max([nat(-V_y/1000),nat(-V_x)*2]),nat(V_y)+max([nat(V_y),nat(-V_x)*2])]),nat(V_x-V_y)+max([nat(-1000*V_x+999*V_y)*2,nat(1000*V_x-999*V_y)*3+nat(V_x-V_y)])]) 0.05/0.45 Asymptotic class: n 0.05/0.45 * Total analysis performed in 371 ms. 0.05/0.45 0.05/0.55 EOF