YES(?,O(n^1)) * Step 1: FromIts WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_speedSingleSingle2_start(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb0_in(v_2,v_m,v_n,v_x_0,v_y_0) True (1,1) 1. eval_speedSingleSingle2_bb0_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_0(v_2,v_m,v_n,v_x_0,v_y_0) True (?,1) 2. eval_speedSingleSingle2_0(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_1(v_2,v_m,v_n,v_x_0,v_y_0) True (?,1) 3. eval_speedSingleSingle2_1(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0,v_y_0) True (?,1) 4. eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0,v_y_0) [-1 >= v_n] (?,1) 5. eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0,v_y_0) [-1 >= v_m] (?,1) 6. eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n,0,0) [v_n >= 0 && v_m >= 0] (?,1) 7. eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_3(v_2,v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0] 8. eval_speedSingleSingle2_3(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_4(nondef_0,v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0] 9. eval_speedSingleSingle2_4(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb2_in(v_2,v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0 && -1 + v_2 >= 0] 10. eval_speedSingleSingle2_4(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0 && 0 >= v_2] 11. eval_speedSingleSingle2_bb2_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb3_in(v_2,v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && -1 + v_n >= v_x_0] 12. eval_speedSingleSingle2_bb2_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb4_in(v_2,v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && v_x_0 >= v_n] 13. eval_speedSingleSingle2_bb3_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n,1 + v_x_0,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && -1 + v_n + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && -1 + v_n >= 0 && -1 + v_m + v_n >= 0 && -2 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0] 14. eval_speedSingleSingle2_bb4_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb5_in(v_2,v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && -1 + v_m >= v_y_0] 15. eval_speedSingleSingle2_bb4_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0,v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && v_y_0 >= v_m] 16. eval_speedSingleSingle2_bb5_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n,1 + v_x_0,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 (?,1) && -1 + v_m + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1 + v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && -1 + v_m + -1*v_x_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && -1 + v_m + -1*v_n >= 0 && v_n >= 0 && -1 + v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_2 >= 0] 17. eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_stop(v_2,v_m,v_n,v_x_0,v_y_0) True (?,1) Signature: {(eval_speedSingleSingle2_0,5) ;(eval_speedSingleSingle2_1,5) ;(eval_speedSingleSingle2_2,5) ;(eval_speedSingleSingle2_3,5) ;(eval_speedSingleSingle2_4,5) ;(eval_speedSingleSingle2_bb0_in,5) ;(eval_speedSingleSingle2_bb1_in,5) ;(eval_speedSingleSingle2_bb2_in,5) ;(eval_speedSingleSingle2_bb3_in,5) ;(eval_speedSingleSingle2_bb4_in,5) ;(eval_speedSingleSingle2_bb5_in,5) ;(eval_speedSingleSingle2_bb6_in,5) ;(eval_speedSingleSingle2_start,5) ;(eval_speedSingleSingle2_stop,5)} Flow Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{17},5->{17},6->{7},7->{8},8->{9,10},9->{11,12},10->{17},11->{13} ,12->{14,15},13->{7},14->{16},15->{17},16->{7},17->{}] + Applied Processor: FromIts + Details: () * Step 2: AddSinks WORST_CASE(?,O(n^1)) + Considered Problem: Rules: eval_speedSingleSingle2_start(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb0_in(v_2,v_m,v_n ,v_x_0 ,v_y_0) True eval_speedSingleSingle2_bb0_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_0(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_0(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_1(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_1(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [-1 >= v_n] eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [-1 >= v_m] eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n,0 ,0) [v_n >= 0 && v_m >= 0] eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_3(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0] eval_speedSingleSingle2_3(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_4(nondef_0,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0] eval_speedSingleSingle2_4(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb2_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0 && -1 + v_2 >= 0] eval_speedSingleSingle2_4(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0 && 0 >= v_2] eval_speedSingleSingle2_bb2_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb3_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && -1 + v_n >= v_x_0] eval_speedSingleSingle2_bb2_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb4_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && v_x_0 >= v_n] eval_speedSingleSingle2_bb3_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n ,1 + v_x_0 ,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 && -1 + v_n + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && -1 + v_n >= 0 && -1 + v_m + v_n >= 0 && -2 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0] eval_speedSingleSingle2_bb4_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb5_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && -1 + v_m >= v_y_0] eval_speedSingleSingle2_bb4_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && v_y_0 >= v_m] eval_speedSingleSingle2_bb5_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n ,1 + v_x_0 ,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 && -1 + v_m + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1 + v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && -1 + v_m + -1*v_x_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && -1 + v_m + -1*v_n >= 0 && v_n >= 0 && -1 + v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_2 >= 0] eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_stop(v_2,v_m,v_n,v_x_0 ,v_y_0) True Signature: {(eval_speedSingleSingle2_0,5) ;(eval_speedSingleSingle2_1,5) ;(eval_speedSingleSingle2_2,5) ;(eval_speedSingleSingle2_3,5) ;(eval_speedSingleSingle2_4,5) ;(eval_speedSingleSingle2_bb0_in,5) ;(eval_speedSingleSingle2_bb1_in,5) ;(eval_speedSingleSingle2_bb2_in,5) ;(eval_speedSingleSingle2_bb3_in,5) ;(eval_speedSingleSingle2_bb4_in,5) ;(eval_speedSingleSingle2_bb5_in,5) ;(eval_speedSingleSingle2_bb6_in,5) ;(eval_speedSingleSingle2_start,5) ;(eval_speedSingleSingle2_stop,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{17},5->{17},6->{7},7->{8},8->{9,10},9->{11,12},10->{17},11->{13} ,12->{14,15},13->{7},14->{16},15->{17},16->{7},17->{}] + Applied Processor: AddSinks + Details: () * Step 3: Decompose WORST_CASE(?,O(n^1)) + Considered Problem: Rules: eval_speedSingleSingle2_start(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb0_in(v_2,v_m,v_n ,v_x_0 ,v_y_0) True eval_speedSingleSingle2_bb0_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_0(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_0(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_1(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_1(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [-1 >= v_n] eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [-1 >= v_m] eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n,0 ,0) [v_n >= 0 && v_m >= 0] eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_3(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0] eval_speedSingleSingle2_3(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_4(nondef_0,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0] eval_speedSingleSingle2_4(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb2_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0 && -1 + v_2 >= 0] eval_speedSingleSingle2_4(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0 && 0 >= v_2] eval_speedSingleSingle2_bb2_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb3_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && -1 + v_n >= v_x_0] eval_speedSingleSingle2_bb2_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb4_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && v_x_0 >= v_n] eval_speedSingleSingle2_bb3_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n ,1 + v_x_0 ,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 && -1 + v_n + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && -1 + v_n >= 0 && -1 + v_m + v_n >= 0 && -2 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0] eval_speedSingleSingle2_bb4_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb5_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && -1 + v_m >= v_y_0] eval_speedSingleSingle2_bb4_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && v_y_0 >= v_m] eval_speedSingleSingle2_bb5_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n ,1 + v_x_0 ,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 && -1 + v_m + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1 + v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && -1 + v_m + -1*v_x_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && -1 + v_m + -1*v_n >= 0 && v_n >= 0 && -1 + v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_2 >= 0] eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_stop(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616(v_2,v_m,v_n,v_x_0 ,v_y_0) True Signature: {(eval_speedSingleSingle2_0,5) ;(eval_speedSingleSingle2_1,5) ;(eval_speedSingleSingle2_2,5) ;(eval_speedSingleSingle2_3,5) ;(eval_speedSingleSingle2_4,5) ;(eval_speedSingleSingle2_bb0_in,5) ;(eval_speedSingleSingle2_bb1_in,5) ;(eval_speedSingleSingle2_bb2_in,5) ;(eval_speedSingleSingle2_bb3_in,5) ;(eval_speedSingleSingle2_bb4_in,5) ;(eval_speedSingleSingle2_bb5_in,5) ;(eval_speedSingleSingle2_bb6_in,5) ;(eval_speedSingleSingle2_start,5) ;(eval_speedSingleSingle2_stop,5) ;(exitus616,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{17},5->{17},6->{7},7->{8},8->{9,10},9->{11,12},10->{17},11->{13} ,12->{14,15},13->{7},14->{16},15->{17},16->{7},17->{18,19,20,21}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21] | `- p:[7,13,11,9,8,16,14,12] c: [7,8,9,11,12,13,14,16] * Step 4: AbstractSize WORST_CASE(?,O(n^1)) + Considered Problem: (Rules: eval_speedSingleSingle2_start(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb0_in(v_2,v_m,v_n ,v_x_0 ,v_y_0) True eval_speedSingleSingle2_bb0_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_0(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_0(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_1(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_1(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [-1 >= v_n] eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [-1 >= v_m] eval_speedSingleSingle2_2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n,0 ,0) [v_n >= 0 && v_m >= 0] eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_3(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0] eval_speedSingleSingle2_3(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_4(nondef_0,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0] eval_speedSingleSingle2_4(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb2_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0 && -1 + v_2 >= 0] eval_speedSingleSingle2_4(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && v_m >= 0 && 0 >= v_2] eval_speedSingleSingle2_bb2_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb3_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && -1 + v_n >= v_x_0] eval_speedSingleSingle2_bb2_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb4_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && v_x_0 >= v_n] eval_speedSingleSingle2_bb3_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n ,1 + v_x_0 ,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 && -1 + v_n + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && -1 + v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && -1 + v_n + -1*v_x_0 >= 0 && v_x_0 >= 0 && -1 + v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && -1 + v_n >= 0 && -1 + v_m + v_n >= 0 && -2 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0] eval_speedSingleSingle2_bb4_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb5_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && -1 + v_m >= v_y_0] eval_speedSingleSingle2_bb4_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0 ,v_y_0) [v_x_0 + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && v_n >= 0 && v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && v_m >= 0 && -1 + v_2 + v_m >= 0 && -1 + v_2 >= 0 && v_y_0 >= v_m] eval_speedSingleSingle2_bb5_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in(v_2,v_m,v_n ,1 + v_x_0 ,1 + v_y_0) [v_x_0 + -1*v_y_0 >= 0 && -1 + v_m + -1*v_y_0 >= 0 && v_y_0 >= 0 && v_x_0 + v_y_0 >= 0 && -1*v_x_0 + v_y_0 >= 0 && v_n + v_y_0 >= 0 && -1*v_n + v_y_0 >= 0 && -1 + v_m + v_y_0 >= 0 && -1 + v_2 + v_y_0 >= 0 && -1 + v_m + -1*v_x_0 >= 0 && v_x_0 >= 0 && v_n + v_x_0 >= 0 && -1*v_n + v_x_0 >= 0 && -1 + v_m + v_x_0 >= 0 && -1 + v_2 + v_x_0 >= 0 && -1 + v_m + -1*v_n >= 0 && v_n >= 0 && -1 + v_m + v_n >= 0 && -1 + v_2 + v_n >= 0 && -1 + v_m >= 0 && -2 + v_2 + v_m >= 0 && -1 + v_2 >= 0] eval_speedSingleSingle2_bb6_in(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_stop(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616(v_2,v_m,v_n,v_x_0 ,v_y_0) True Signature: {(eval_speedSingleSingle2_0,5) ;(eval_speedSingleSingle2_1,5) ;(eval_speedSingleSingle2_2,5) ;(eval_speedSingleSingle2_3,5) ;(eval_speedSingleSingle2_4,5) ;(eval_speedSingleSingle2_bb0_in,5) ;(eval_speedSingleSingle2_bb1_in,5) ;(eval_speedSingleSingle2_bb2_in,5) ;(eval_speedSingleSingle2_bb3_in,5) ;(eval_speedSingleSingle2_bb4_in,5) ;(eval_speedSingleSingle2_bb5_in,5) ;(eval_speedSingleSingle2_bb6_in,5) ;(eval_speedSingleSingle2_start,5) ;(eval_speedSingleSingle2_stop,5) ;(exitus616,5)} Rule Graph: [0->{1},1->{2},2->{3},3->{4,5,6},4->{17},5->{17},6->{7},7->{8},8->{9,10},9->{11,12},10->{17},11->{13} ,12->{14,15},13->{7},14->{16},15->{17},16->{7},17->{18,19,20,21}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21] | `- p:[7,13,11,9,8,16,14,12] c: [7,8,9,11,12,13,14,16]) + Applied Processor: AbstractSize Minimize + Details: () * Step 5: AbstractFlow WORST_CASE(?,O(n^1)) + Considered Problem: Program: Domain: [v_2,v_m,v_n,v_x_0,v_y_0,0.0] eval_speedSingleSingle2_start ~> eval_speedSingleSingle2_bb0_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_bb0_in ~> eval_speedSingleSingle2_0 [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_0 ~> eval_speedSingleSingle2_1 [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_1 ~> eval_speedSingleSingle2_2 [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_2 ~> eval_speedSingleSingle2_bb6_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_2 ~> eval_speedSingleSingle2_bb6_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_2 ~> eval_speedSingleSingle2_bb1_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= 0*K, v_y_0 <= 0*K] eval_speedSingleSingle2_bb1_in ~> eval_speedSingleSingle2_3 [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_3 ~> eval_speedSingleSingle2_4 [v_2 <= unknown, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_4 ~> eval_speedSingleSingle2_bb2_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_4 ~> eval_speedSingleSingle2_bb6_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_bb2_in ~> eval_speedSingleSingle2_bb3_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_bb2_in ~> eval_speedSingleSingle2_bb4_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_bb3_in ~> eval_speedSingleSingle2_bb1_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_n, v_y_0 <= v_n] eval_speedSingleSingle2_bb4_in ~> eval_speedSingleSingle2_bb5_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_bb4_in ~> eval_speedSingleSingle2_bb6_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_bb5_in ~> eval_speedSingleSingle2_bb1_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_m, v_y_0 <= v_m] eval_speedSingleSingle2_bb6_in ~> eval_speedSingleSingle2_stop [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_stop ~> exitus616 [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_stop ~> exitus616 [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_stop ~> exitus616 [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_stop ~> exitus616 [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] + Loop: [0.0 <= v_m + v_n + v_y_0] eval_speedSingleSingle2_bb1_in ~> eval_speedSingleSingle2_3 [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_bb3_in ~> eval_speedSingleSingle2_bb1_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_n, v_y_0 <= v_n] eval_speedSingleSingle2_bb2_in ~> eval_speedSingleSingle2_bb3_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_4 ~> eval_speedSingleSingle2_bb2_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_3 ~> eval_speedSingleSingle2_4 [v_2 <= unknown, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_bb5_in ~> eval_speedSingleSingle2_bb1_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_m, v_y_0 <= v_m] eval_speedSingleSingle2_bb4_in ~> eval_speedSingleSingle2_bb5_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] eval_speedSingleSingle2_bb2_in ~> eval_speedSingleSingle2_bb4_in [v_2 <= v_2, v_m <= v_m, v_n <= v_n, v_x_0 <= v_x_0, v_y_0 <= v_y_0] + Applied Processor: AbstractFlow + Details: () * Step 6: Lare WORST_CASE(?,O(n^1)) + Considered Problem: Program: Domain: [tick,huge,K,v_2,v_m,v_n,v_x_0,v_y_0,0.0] eval_speedSingleSingle2_start ~> eval_speedSingleSingle2_bb0_in [] eval_speedSingleSingle2_bb0_in ~> eval_speedSingleSingle2_0 [] eval_speedSingleSingle2_0 ~> eval_speedSingleSingle2_1 [] eval_speedSingleSingle2_1 ~> eval_speedSingleSingle2_2 [] eval_speedSingleSingle2_2 ~> eval_speedSingleSingle2_bb6_in [] eval_speedSingleSingle2_2 ~> eval_speedSingleSingle2_bb6_in [] eval_speedSingleSingle2_2 ~> eval_speedSingleSingle2_bb1_in [K ~=> v_x_0,K ~=> v_y_0] eval_speedSingleSingle2_bb1_in ~> eval_speedSingleSingle2_3 [] eval_speedSingleSingle2_3 ~> eval_speedSingleSingle2_4 [huge ~=> v_2] eval_speedSingleSingle2_4 ~> eval_speedSingleSingle2_bb2_in [] eval_speedSingleSingle2_4 ~> eval_speedSingleSingle2_bb6_in [] eval_speedSingleSingle2_bb2_in ~> eval_speedSingleSingle2_bb3_in [] eval_speedSingleSingle2_bb2_in ~> eval_speedSingleSingle2_bb4_in [] eval_speedSingleSingle2_bb3_in ~> eval_speedSingleSingle2_bb1_in [v_n ~=> v_x_0,v_n ~=> v_y_0] eval_speedSingleSingle2_bb4_in ~> eval_speedSingleSingle2_bb5_in [] eval_speedSingleSingle2_bb4_in ~> eval_speedSingleSingle2_bb6_in [] eval_speedSingleSingle2_bb5_in ~> eval_speedSingleSingle2_bb1_in [v_m ~=> v_x_0,v_m ~=> v_y_0] eval_speedSingleSingle2_bb6_in ~> eval_speedSingleSingle2_stop [] eval_speedSingleSingle2_stop ~> exitus616 [] eval_speedSingleSingle2_stop ~> exitus616 [] eval_speedSingleSingle2_stop ~> exitus616 [] eval_speedSingleSingle2_stop ~> exitus616 [] + Loop: [v_m ~+> 0.0,v_n ~+> 0.0,v_y_0 ~+> 0.0] eval_speedSingleSingle2_bb1_in ~> eval_speedSingleSingle2_3 [] eval_speedSingleSingle2_bb3_in ~> eval_speedSingleSingle2_bb1_in [v_n ~=> v_x_0,v_n ~=> v_y_0] eval_speedSingleSingle2_bb2_in ~> eval_speedSingleSingle2_bb3_in [] eval_speedSingleSingle2_4 ~> eval_speedSingleSingle2_bb2_in [] eval_speedSingleSingle2_3 ~> eval_speedSingleSingle2_4 [huge ~=> v_2] eval_speedSingleSingle2_bb5_in ~> eval_speedSingleSingle2_bb1_in [v_m ~=> v_x_0,v_m ~=> v_y_0] eval_speedSingleSingle2_bb4_in ~> eval_speedSingleSingle2_bb5_in [] eval_speedSingleSingle2_bb2_in ~> eval_speedSingleSingle2_bb4_in [] + Applied Processor: Lare + Details: eval_speedSingleSingle2_start ~> exitus616 [v_m ~=> v_x_0 ,v_m ~=> v_y_0 ,v_n ~=> v_x_0 ,v_n ~=> v_y_0 ,K ~=> v_x_0 ,K ~=> v_y_0 ,huge ~=> v_2 ,v_m ~+> 0.0 ,v_m ~+> tick ,v_n ~+> 0.0 ,v_n ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> tick] + eval_speedSingleSingle2_4> [v_m ~=> v_x_0 ,v_m ~=> v_y_0 ,v_n ~=> v_x_0 ,v_n ~=> v_y_0 ,huge ~=> v_2 ,v_m ~+> 0.0 ,v_m ~+> tick ,v_n ~+> 0.0 ,v_n ~+> tick ,v_y_0 ~+> 0.0 ,v_y_0 ~+> tick ,tick ~+> tick] eval_speedSingleSingle2_bb4_in> [v_m ~=> v_x_0 ,v_m ~=> v_y_0 ,v_n ~=> v_x_0 ,v_n ~=> v_y_0 ,huge ~=> v_2 ,v_m ~+> 0.0 ,v_m ~+> tick ,v_n ~+> 0.0 ,v_n ~+> tick ,v_y_0 ~+> 0.0 ,v_y_0 ~+> tick ,tick ~+> tick] YES(?,O(n^1))