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: Unfold 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: Unfold + Details: () * Step 4: Decompose WORST_CASE(?,O(n^1)) + Considered Problem: Rules: eval_speedSingleSingle2_start.0(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb0_in.1(v_2,v_m ,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_bb0_in.1(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_0.2(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_0.2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_1.3(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_1.3(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_2.4(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_1.3(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_2.5(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_1.3(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_2.6(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_2.4(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in.17(v_2,v_m,v_n ,v_x_0 ,v_y_0) [-1 >= v_n] eval_speedSingleSingle2_2.5(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in.17(v_2,v_m,v_n ,v_x_0 ,v_y_0) [-1 >= v_m] eval_speedSingleSingle2_2.6(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in.7(v_2,v_m,v_n ,0 ,0) [v_n >= 0 && v_m >= 0] eval_speedSingleSingle2_bb1_in.7(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_3.8(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_3.8(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_4.9(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_3.8(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_4.10(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_4.9(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb2_in.11(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_4.9(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb2_in.12(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_4.10(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in.17(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.11(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb3_in.13(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.12(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb4_in.14(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_bb2_in.12(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb4_in.15(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.13(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in.7(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.14(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb5_in.16(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.15(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in.17(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.16(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in.7(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.17(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_stop.18(v_2,v_m,v_n ,v_x_0 ,v_y_0) True eval_speedSingleSingle2_bb6_in.17(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_stop.19(v_2,v_m,v_n ,v_x_0 ,v_y_0) True eval_speedSingleSingle2_bb6_in.17(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_stop.20(v_2,v_m,v_n ,v_x_0 ,v_y_0) True eval_speedSingleSingle2_bb6_in.17(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_stop.21(v_2,v_m,v_n ,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop.18(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616.22(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop.19(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616.22(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop.20(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616.22(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop.21(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616.22(v_2,v_m,v_n,v_x_0 ,v_y_0) True Signature: {(eval_speedSingleSingle2_0.2,5) ;(eval_speedSingleSingle2_1.3,5) ;(eval_speedSingleSingle2_2.4,5) ;(eval_speedSingleSingle2_2.5,5) ;(eval_speedSingleSingle2_2.6,5) ;(eval_speedSingleSingle2_3.8,5) ;(eval_speedSingleSingle2_4.10,5) ;(eval_speedSingleSingle2_4.9,5) ;(eval_speedSingleSingle2_bb0_in.1,5) ;(eval_speedSingleSingle2_bb1_in.7,5) ;(eval_speedSingleSingle2_bb2_in.11,5) ;(eval_speedSingleSingle2_bb2_in.12,5) ;(eval_speedSingleSingle2_bb3_in.13,5) ;(eval_speedSingleSingle2_bb4_in.14,5) ;(eval_speedSingleSingle2_bb4_in.15,5) ;(eval_speedSingleSingle2_bb5_in.16,5) ;(eval_speedSingleSingle2_bb6_in.17,5) ;(eval_speedSingleSingle2_start.0,5) ;(eval_speedSingleSingle2_stop.18,5) ;(eval_speedSingleSingle2_stop.19,5) ;(eval_speedSingleSingle2_stop.20,5) ;(eval_speedSingleSingle2_stop.21,5) ;(exitus616.22,5)} Rule Graph: [0->{1},1->{2},2->{3,4,5},3->{6},4->{7},5->{8},6->{22,23,24,25},7->{22,23,24,25},8->{9},9->{10,11},10->{12 ,13},11->{14},12->{15},13->{16,17},14->{22,23,24,25},15->{18},16->{19},17->{20},18->{9},19->{21},20->{22,23 ,24,25},21->{9},22->{26},23->{27},24->{28},25->{29},26->{},27->{},28->{},29->{}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29] | `- p:[9,18,15,12,10,21,19,16,13] c: [9,10,12,13,15,16,18,19,21] * Step 5: AbstractSize WORST_CASE(?,O(n^1)) + Considered Problem: (Rules: eval_speedSingleSingle2_start.0(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb0_in.1(v_2,v_m ,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_bb0_in.1(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_0.2(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_0.2(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_1.3(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_1.3(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_2.4(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_1.3(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_2.5(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_1.3(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_2.6(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_2.4(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in.17(v_2,v_m,v_n ,v_x_0 ,v_y_0) [-1 >= v_n] eval_speedSingleSingle2_2.5(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in.17(v_2,v_m,v_n ,v_x_0 ,v_y_0) [-1 >= v_m] eval_speedSingleSingle2_2.6(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in.7(v_2,v_m,v_n ,0 ,0) [v_n >= 0 && v_m >= 0] eval_speedSingleSingle2_bb1_in.7(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_3.8(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_3.8(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_4.9(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_3.8(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_4.10(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_4.9(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb2_in.11(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_4.9(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb2_in.12(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_4.10(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in.17(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.11(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb3_in.13(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.12(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb4_in.14(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_bb2_in.12(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb4_in.15(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.13(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in.7(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.14(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb5_in.16(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.15(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb6_in.17(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.16(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_bb1_in.7(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.17(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_stop.18(v_2,v_m,v_n ,v_x_0 ,v_y_0) True eval_speedSingleSingle2_bb6_in.17(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_stop.19(v_2,v_m,v_n ,v_x_0 ,v_y_0) True eval_speedSingleSingle2_bb6_in.17(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_stop.20(v_2,v_m,v_n ,v_x_0 ,v_y_0) True eval_speedSingleSingle2_bb6_in.17(v_2,v_m,v_n,v_x_0,v_y_0) -> eval_speedSingleSingle2_stop.21(v_2,v_m,v_n ,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop.18(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616.22(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop.19(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616.22(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop.20(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616.22(v_2,v_m,v_n,v_x_0 ,v_y_0) True eval_speedSingleSingle2_stop.21(v_2,v_m,v_n,v_x_0,v_y_0) -> exitus616.22(v_2,v_m,v_n,v_x_0 ,v_y_0) True Signature: {(eval_speedSingleSingle2_0.2,5) ;(eval_speedSingleSingle2_1.3,5) ;(eval_speedSingleSingle2_2.4,5) ;(eval_speedSingleSingle2_2.5,5) ;(eval_speedSingleSingle2_2.6,5) ;(eval_speedSingleSingle2_3.8,5) ;(eval_speedSingleSingle2_4.10,5) ;(eval_speedSingleSingle2_4.9,5) ;(eval_speedSingleSingle2_bb0_in.1,5) ;(eval_speedSingleSingle2_bb1_in.7,5) ;(eval_speedSingleSingle2_bb2_in.11,5) ;(eval_speedSingleSingle2_bb2_in.12,5) ;(eval_speedSingleSingle2_bb3_in.13,5) ;(eval_speedSingleSingle2_bb4_in.14,5) ;(eval_speedSingleSingle2_bb4_in.15,5) ;(eval_speedSingleSingle2_bb5_in.16,5) ;(eval_speedSingleSingle2_bb6_in.17,5) ;(eval_speedSingleSingle2_start.0,5) ;(eval_speedSingleSingle2_stop.18,5) ;(eval_speedSingleSingle2_stop.19,5) ;(eval_speedSingleSingle2_stop.20,5) ;(eval_speedSingleSingle2_stop.21,5) ;(exitus616.22,5)} Rule Graph: [0->{1},1->{2},2->{3,4,5},3->{6},4->{7},5->{8},6->{22,23,24,25},7->{22,23,24,25},8->{9},9->{10,11},10->{12 ,13},11->{14},12->{15},13->{16,17},14->{22,23,24,25},15->{18},16->{19},17->{20},18->{9},19->{21},20->{22,23 ,24,25},21->{9},22->{26},23->{27},24->{28},25->{29},26->{},27->{},28->{},29->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29] | `- p:[9,18,15,12,10,21,19,16,13] c: [9,10,12,13,15,16,18,19,21]) + Applied Processor: AbstractSize Minimize + Details: () * Step 6: 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.0 ~> eval_speedSingleSingle2_bb0_in.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_bb0_in.1 ~> eval_speedSingleSingle2_0.2 [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_0.2 ~> eval_speedSingleSingle2_1.3 [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_1.3 ~> eval_speedSingleSingle2_2.4 [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_1.3 ~> eval_speedSingleSingle2_2.5 [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_1.3 ~> eval_speedSingleSingle2_2.6 [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_2.4 ~> eval_speedSingleSingle2_bb6_in.17 [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_2.5 ~> eval_speedSingleSingle2_bb6_in.17 [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_2.6 ~> eval_speedSingleSingle2_bb1_in.7 [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.7 ~> eval_speedSingleSingle2_3.8 [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_3.8 ~> eval_speedSingleSingle2_4.9 [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_3.8 ~> eval_speedSingleSingle2_4.10 [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_4.9 ~> eval_speedSingleSingle2_bb2_in.11 [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_4.9 ~> eval_speedSingleSingle2_bb2_in.12 [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_4.10 ~> eval_speedSingleSingle2_bb6_in.17 [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.11 ~> eval_speedSingleSingle2_bb3_in.13 [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.12 ~> eval_speedSingleSingle2_bb4_in.14 [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.12 ~> eval_speedSingleSingle2_bb4_in.15 [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.13 ~> eval_speedSingleSingle2_bb1_in.7 [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.14 ~> eval_speedSingleSingle2_bb5_in.16 [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.15 ~> eval_speedSingleSingle2_bb6_in.17 [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.16 ~> eval_speedSingleSingle2_bb1_in.7 [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.17 ~> eval_speedSingleSingle2_stop.18 [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_bb6_in.17 ~> eval_speedSingleSingle2_stop.19 [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_bb6_in.17 ~> eval_speedSingleSingle2_stop.20 [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_bb6_in.17 ~> eval_speedSingleSingle2_stop.21 [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.18 ~> exitus616.22 [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.19 ~> exitus616.22 [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.20 ~> exitus616.22 [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.21 ~> exitus616.22 [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.7 ~> eval_speedSingleSingle2_3.8 [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.13 ~> eval_speedSingleSingle2_bb1_in.7 [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.11 ~> eval_speedSingleSingle2_bb3_in.13 [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_4.9 ~> eval_speedSingleSingle2_bb2_in.11 [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_3.8 ~> eval_speedSingleSingle2_4.9 [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.16 ~> eval_speedSingleSingle2_bb1_in.7 [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.14 ~> eval_speedSingleSingle2_bb5_in.16 [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.12 ~> eval_speedSingleSingle2_bb4_in.14 [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_4.9 ~> eval_speedSingleSingle2_bb2_in.12 [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 7: 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.0 ~> eval_speedSingleSingle2_bb0_in.1 [] eval_speedSingleSingle2_bb0_in.1 ~> eval_speedSingleSingle2_0.2 [] eval_speedSingleSingle2_0.2 ~> eval_speedSingleSingle2_1.3 [] eval_speedSingleSingle2_1.3 ~> eval_speedSingleSingle2_2.4 [] eval_speedSingleSingle2_1.3 ~> eval_speedSingleSingle2_2.5 [] eval_speedSingleSingle2_1.3 ~> eval_speedSingleSingle2_2.6 [] eval_speedSingleSingle2_2.4 ~> eval_speedSingleSingle2_bb6_in.17 [] eval_speedSingleSingle2_2.5 ~> eval_speedSingleSingle2_bb6_in.17 [] eval_speedSingleSingle2_2.6 ~> eval_speedSingleSingle2_bb1_in.7 [K ~=> v_x_0,K ~=> v_y_0] eval_speedSingleSingle2_bb1_in.7 ~> eval_speedSingleSingle2_3.8 [] eval_speedSingleSingle2_3.8 ~> eval_speedSingleSingle2_4.9 [huge ~=> v_2] eval_speedSingleSingle2_3.8 ~> eval_speedSingleSingle2_4.10 [huge ~=> v_2] eval_speedSingleSingle2_4.9 ~> eval_speedSingleSingle2_bb2_in.11 [] eval_speedSingleSingle2_4.9 ~> eval_speedSingleSingle2_bb2_in.12 [] eval_speedSingleSingle2_4.10 ~> eval_speedSingleSingle2_bb6_in.17 [] eval_speedSingleSingle2_bb2_in.11 ~> eval_speedSingleSingle2_bb3_in.13 [] eval_speedSingleSingle2_bb2_in.12 ~> eval_speedSingleSingle2_bb4_in.14 [] eval_speedSingleSingle2_bb2_in.12 ~> eval_speedSingleSingle2_bb4_in.15 [] eval_speedSingleSingle2_bb3_in.13 ~> eval_speedSingleSingle2_bb1_in.7 [v_n ~=> v_x_0,v_n ~=> v_y_0] eval_speedSingleSingle2_bb4_in.14 ~> eval_speedSingleSingle2_bb5_in.16 [] eval_speedSingleSingle2_bb4_in.15 ~> eval_speedSingleSingle2_bb6_in.17 [] eval_speedSingleSingle2_bb5_in.16 ~> eval_speedSingleSingle2_bb1_in.7 [v_m ~=> v_x_0,v_m ~=> v_y_0] eval_speedSingleSingle2_bb6_in.17 ~> eval_speedSingleSingle2_stop.18 [] eval_speedSingleSingle2_bb6_in.17 ~> eval_speedSingleSingle2_stop.19 [] eval_speedSingleSingle2_bb6_in.17 ~> eval_speedSingleSingle2_stop.20 [] eval_speedSingleSingle2_bb6_in.17 ~> eval_speedSingleSingle2_stop.21 [] eval_speedSingleSingle2_stop.18 ~> exitus616.22 [] eval_speedSingleSingle2_stop.19 ~> exitus616.22 [] eval_speedSingleSingle2_stop.20 ~> exitus616.22 [] eval_speedSingleSingle2_stop.21 ~> exitus616.22 [] + Loop: [v_m ~+> 0.0,v_n ~+> 0.0,v_y_0 ~+> 0.0] eval_speedSingleSingle2_bb1_in.7 ~> eval_speedSingleSingle2_3.8 [] eval_speedSingleSingle2_bb3_in.13 ~> eval_speedSingleSingle2_bb1_in.7 [v_n ~=> v_x_0,v_n ~=> v_y_0] eval_speedSingleSingle2_bb2_in.11 ~> eval_speedSingleSingle2_bb3_in.13 [] eval_speedSingleSingle2_4.9 ~> eval_speedSingleSingle2_bb2_in.11 [] eval_speedSingleSingle2_3.8 ~> eval_speedSingleSingle2_4.9 [huge ~=> v_2] eval_speedSingleSingle2_bb5_in.16 ~> eval_speedSingleSingle2_bb1_in.7 [v_m ~=> v_x_0,v_m ~=> v_y_0] eval_speedSingleSingle2_bb4_in.14 ~> eval_speedSingleSingle2_bb5_in.16 [] eval_speedSingleSingle2_bb2_in.12 ~> eval_speedSingleSingle2_bb4_in.14 [] eval_speedSingleSingle2_4.9 ~> eval_speedSingleSingle2_bb2_in.12 [] + Applied Processor: Lare + Details: eval_speedSingleSingle2_start.0 ~> exitus616.22 [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_3.8> [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_bb2_in.12> [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))