YES(?,POLY) * Step 1: TrivialSCCs WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_p3_start(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb0_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (1,1) 1. eval_p3_bb0_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_0(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 2. eval_p3_0(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_1(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 3. eval_p3_1(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_2(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 4. eval_p3_2(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_3(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 5. eval_p3_3(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_4(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 6. eval_p3_4(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_5(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 7. eval_p3_5(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_6(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 8. eval_p3_6(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_7(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 9. eval_p3_7(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb1_in(v_x,v_y,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 10. eval_p3_bb1_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1*v__0 + v_x >= 0 && -1 + v__0 >= 0] (?,1) 11. eval_p3_bb1_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb7_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1*v__0 + v_x >= 0 && 0 >= v__0] (?,1) 12. eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb3_in(v__0,v__01,v__01,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 >= nondef_0] (?,1) 13. eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb3_in(v__0,v__01,v__01,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 + nondef_0 >= 0] (?,1) 14. eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && nondef_0 = 0] (?,1) 15. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb4_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && -1 >= nondef_1 && -1 + v__1 >= 0] 16. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb4_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && -1 + nondef_1 >= 0 && -1 + v__1 >= 0] 17. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,v__1,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && nondef_1 = 0] 18. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,v__1,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && 0 >= v__1] 19. eval_p3_bb4_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_15(v__0,v__01,v__1,v__3,-1 + v__1,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__1 + v_x >= 0 && -2 + v__01 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__1 >= 0 && -2 + v__01 + v__1 >= 0 && -2 + v__0 + v__1 >= 0 && -1 + v__01 >= 0 && -2 + v__0 + v__01 >= 0 && -1 + v__0 >= 0] 20. eval_p3_15(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_16(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -1 + v_12 + v_x >= 0 && -2 + v__1 + v_x >= 0 && -2 + v__01 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + -1*v_12 + v__1 >= 0 && -1 + -1*v_12 + v__01 >= 0 && v_12 >= 0 && -1 + v_12 + v__1 >= 0 && 1 + v_12 + -1*v__1 >= 0 && -1 + v_12 + v__01 >= 0 && -1 + v_12 + v__0 >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__1 >= 0 && -2 + v__01 + v__1 >= 0 && -2 + v__0 + v__1 >= 0 && -1 + v__01 >= 0 && -2 + v__0 + v__01 >= 0 && -1 + v__0 >= 0] 21. eval_p3_16(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb3_in(v__0,v__01,v_12,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -1 + v_12 + v_x >= 0 && -2 + v__1 + v_x >= 0 && -2 + v__01 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + -1*v_12 + v__1 >= 0 && -1 + -1*v_12 + v__01 >= 0 && v_12 >= 0 && -1 + v_12 + v__1 >= 0 && 1 + v_12 + -1*v__1 >= 0 && -1 + v_12 + v__01 >= 0 && -1 + v_12 + v__0 >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__1 >= 0 && -2 + v__01 + v__1 >= 0 && -2 + v__0 + v__1 >= 0 && -1 + v__01 >= 0 && -2 + v__0 + v__01 >= 0 && -1 + v__0 >= 0] 22. eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,1 + v__01,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 >= nondef_2] (?,1) 23. eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,1 + v__01,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 + nondef_2 >= 0] (?,1) 24. eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,v_z,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && nondef_2 = 0] (?,1) 25. eval_p3_bb6_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb1_in(-1 + v__0,v__3,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0] (?,1) 26. eval_p3_bb7_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_stop(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1*v__0 + v_x >= 0 && -1*v__0 >= 0] (?,1) Signature: {(eval_p3_0,8) ;(eval_p3_1,8) ;(eval_p3_15,8) ;(eval_p3_16,8) ;(eval_p3_2,8) ;(eval_p3_3,8) ;(eval_p3_4,8) ;(eval_p3_5,8) ;(eval_p3_6,8) ;(eval_p3_7,8) ;(eval_p3_bb0_in,8) ;(eval_p3_bb1_in,8) ;(eval_p3_bb2_in,8) ;(eval_p3_bb3_in,8) ;(eval_p3_bb4_in,8) ;(eval_p3_bb5_in,8) ;(eval_p3_bb6_in,8) ;(eval_p3_bb7_in,8) ;(eval_p3_start,8) ;(eval_p3_stop,8)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10,11},10->{12,13,14},11->{26},12->{15 ,16,17,18},13->{15,16,17,18},14->{22,23,24},15->{19},16->{19},17->{25},18->{25},19->{20},20->{21},21->{15,16 ,17,18},22->{25},23->{25},24->{25},25->{10,11},26->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: AddSinks WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_p3_start(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb0_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (1,1) 1. eval_p3_bb0_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_0(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (1,1) 2. eval_p3_0(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_1(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (1,1) 3. eval_p3_1(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_2(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (1,1) 4. eval_p3_2(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_3(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (1,1) 5. eval_p3_3(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_4(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (1,1) 6. eval_p3_4(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_5(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (1,1) 7. eval_p3_5(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_6(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (1,1) 8. eval_p3_6(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_7(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (1,1) 9. eval_p3_7(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb1_in(v_x,v_y,v__1,v__3,v_12,v_x,v_y,v_z) True (1,1) 10. eval_p3_bb1_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1*v__0 + v_x >= 0 && -1 + v__0 >= 0] (?,1) 11. eval_p3_bb1_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb7_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1*v__0 + v_x >= 0 && 0 >= v__0] (1,1) 12. eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb3_in(v__0,v__01,v__01,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 >= nondef_0] (?,1) 13. eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb3_in(v__0,v__01,v__01,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 + nondef_0 >= 0] (?,1) 14. eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && nondef_0 = 0] (?,1) 15. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb4_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && -1 >= nondef_1 && -1 + v__1 >= 0] 16. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb4_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && -1 + nondef_1 >= 0 && -1 + v__1 >= 0] 17. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,v__1,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && nondef_1 = 0] 18. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,v__1,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && 0 >= v__1] 19. eval_p3_bb4_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_15(v__0,v__01,v__1,v__3,-1 + v__1,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__1 + v_x >= 0 && -2 + v__01 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__1 >= 0 && -2 + v__01 + v__1 >= 0 && -2 + v__0 + v__1 >= 0 && -1 + v__01 >= 0 && -2 + v__0 + v__01 >= 0 && -1 + v__0 >= 0] 20. eval_p3_15(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_16(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -1 + v_12 + v_x >= 0 && -2 + v__1 + v_x >= 0 && -2 + v__01 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + -1*v_12 + v__1 >= 0 && -1 + -1*v_12 + v__01 >= 0 && v_12 >= 0 && -1 + v_12 + v__1 >= 0 && 1 + v_12 + -1*v__1 >= 0 && -1 + v_12 + v__01 >= 0 && -1 + v_12 + v__0 >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__1 >= 0 && -2 + v__01 + v__1 >= 0 && -2 + v__0 + v__1 >= 0 && -1 + v__01 >= 0 && -2 + v__0 + v__01 >= 0 && -1 + v__0 >= 0] 21. eval_p3_16(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb3_in(v__0,v__01,v_12,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -1 + v_12 + v_x >= 0 && -2 + v__1 + v_x >= 0 && -2 + v__01 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + -1*v_12 + v__1 >= 0 && -1 + -1*v_12 + v__01 >= 0 && v_12 >= 0 && -1 + v_12 + v__1 >= 0 && 1 + v_12 + -1*v__1 >= 0 && -1 + v_12 + v__01 >= 0 && -1 + v_12 + v__0 >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__1 >= 0 && -2 + v__01 + v__1 >= 0 && -2 + v__0 + v__1 >= 0 && -1 + v__01 >= 0 && -2 + v__0 + v__01 >= 0 && -1 + v__0 >= 0] 22. eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,1 + v__01,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 >= nondef_2] (?,1) 23. eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,1 + v__01,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 + nondef_2 >= 0] (?,1) 24. eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,v_z,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && nondef_2 = 0] (?,1) 25. eval_p3_bb6_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb1_in(-1 + v__0,v__3,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0] (?,1) 26. eval_p3_bb7_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_stop(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1*v__0 + v_x >= 0 && -1*v__0 >= 0] (1,1) Signature: {(eval_p3_0,8) ;(eval_p3_1,8) ;(eval_p3_15,8) ;(eval_p3_16,8) ;(eval_p3_2,8) ;(eval_p3_3,8) ;(eval_p3_4,8) ;(eval_p3_5,8) ;(eval_p3_6,8) ;(eval_p3_7,8) ;(eval_p3_bb0_in,8) ;(eval_p3_bb1_in,8) ;(eval_p3_bb2_in,8) ;(eval_p3_bb3_in,8) ;(eval_p3_bb4_in,8) ;(eval_p3_bb5_in,8) ;(eval_p3_bb6_in,8) ;(eval_p3_bb7_in,8) ;(eval_p3_start,8) ;(eval_p3_stop,8)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10,11},10->{12,13,14},11->{26},12->{15 ,16,17,18},13->{15,16,17,18},14->{22,23,24},15->{19},16->{19},17->{25},18->{25},19->{20},20->{21},21->{15,16 ,17,18},22->{25},23->{25},24->{25},25->{10,11},26->{}] + Applied Processor: AddSinks + Details: () * Step 3: LooptreeTransformer WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_p3_start(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb0_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (1,1) 1. eval_p3_bb0_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_0(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 2. eval_p3_0(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_1(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 3. eval_p3_1(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_2(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 4. eval_p3_2(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_3(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 5. eval_p3_3(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_4(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 6. eval_p3_4(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_5(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 7. eval_p3_5(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_6(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 8. eval_p3_6(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_7(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 9. eval_p3_7(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb1_in(v_x,v_y,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 10. eval_p3_bb1_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1*v__0 + v_x >= 0 && -1 + v__0 >= 0] (?,1) 11. eval_p3_bb1_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb7_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1*v__0 + v_x >= 0 && 0 >= v__0] (?,1) 12. eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb3_in(v__0,v__01,v__01,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 >= nondef_0] (?,1) 13. eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb3_in(v__0,v__01,v__01,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 + nondef_0 >= 0] (?,1) 14. eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && nondef_0 = 0] (?,1) 15. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb4_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && -1 >= nondef_1 && -1 + v__1 >= 0] 16. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb4_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && -1 + nondef_1 >= 0 && -1 + v__1 >= 0] 17. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,v__1,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && nondef_1 = 0] 18. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,v__1,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && 0 >= v__1] 19. eval_p3_bb4_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_15(v__0,v__01,v__1,v__3,-1 + v__1,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__1 + v_x >= 0 && -2 + v__01 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__1 >= 0 && -2 + v__01 + v__1 >= 0 && -2 + v__0 + v__1 >= 0 && -1 + v__01 >= 0 && -2 + v__0 + v__01 >= 0 && -1 + v__0 >= 0] 20. eval_p3_15(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_16(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -1 + v_12 + v_x >= 0 && -2 + v__1 + v_x >= 0 && -2 + v__01 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + -1*v_12 + v__1 >= 0 && -1 + -1*v_12 + v__01 >= 0 && v_12 >= 0 && -1 + v_12 + v__1 >= 0 && 1 + v_12 + -1*v__1 >= 0 && -1 + v_12 + v__01 >= 0 && -1 + v_12 + v__0 >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__1 >= 0 && -2 + v__01 + v__1 >= 0 && -2 + v__0 + v__1 >= 0 && -1 + v__01 >= 0 && -2 + v__0 + v__01 >= 0 && -1 + v__0 >= 0] 21. eval_p3_16(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb3_in(v__0,v__01,v_12,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -1 + v_12 + v_x >= 0 && -2 + v__1 + v_x >= 0 && -2 + v__01 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + -1*v_12 + v__1 >= 0 && -1 + -1*v_12 + v__01 >= 0 && v_12 >= 0 && -1 + v_12 + v__1 >= 0 && 1 + v_12 + -1*v__1 >= 0 && -1 + v_12 + v__01 >= 0 && -1 + v_12 + v__0 >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__1 >= 0 && -2 + v__01 + v__1 >= 0 && -2 + v__0 + v__1 >= 0 && -1 + v__01 >= 0 && -2 + v__0 + v__01 >= 0 && -1 + v__0 >= 0] 22. eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,1 + v__01,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 >= nondef_2] (?,1) 23. eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,1 + v__01,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 + nondef_2 >= 0] (?,1) 24. eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,v_z,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && nondef_2 = 0] (?,1) 25. eval_p3_bb6_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb1_in(-1 + v__0,v__3,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0] (?,1) 26. eval_p3_bb7_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_stop(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1*v__0 + v_x >= 0 && -1*v__0 >= 0] (?,1) 27. eval_p3_bb7_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> exitus616(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) Signature: {(eval_p3_0,8) ;(eval_p3_1,8) ;(eval_p3_15,8) ;(eval_p3_16,8) ;(eval_p3_2,8) ;(eval_p3_3,8) ;(eval_p3_4,8) ;(eval_p3_5,8) ;(eval_p3_6,8) ;(eval_p3_7,8) ;(eval_p3_bb0_in,8) ;(eval_p3_bb1_in,8) ;(eval_p3_bb2_in,8) ;(eval_p3_bb3_in,8) ;(eval_p3_bb4_in,8) ;(eval_p3_bb5_in,8) ;(eval_p3_bb6_in,8) ;(eval_p3_bb7_in,8) ;(eval_p3_start,8) ;(eval_p3_stop,8) ;(exitus616,8)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10,11},10->{12,13,14},11->{26,27} ,12->{15,16,17,18},13->{15,16,17,18},14->{22,23,24},15->{19},16->{19},17->{25},18->{25},19->{20},20->{21} ,21->{15,16,17,18},22->{25},23->{25},24->{25},25->{10,11},26->{},27->{}] + Applied Processor: LooptreeTransformer + 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] | `- p:[10,25,17,12,13,21,20,19,15,16,18,22,14,23,24] c: [25] | `- p:[15,21,20,19,16] c: [21] * Step 4: SizeAbstraction WORST_CASE(?,POLY) + Considered Problem: (Rules: 0. eval_p3_start(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb0_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (1,1) 1. eval_p3_bb0_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_0(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 2. eval_p3_0(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_1(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 3. eval_p3_1(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_2(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 4. eval_p3_2(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_3(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 5. eval_p3_3(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_4(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 6. eval_p3_4(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_5(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 7. eval_p3_5(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_6(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 8. eval_p3_6(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_7(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 9. eval_p3_7(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb1_in(v_x,v_y,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) 10. eval_p3_bb1_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1*v__0 + v_x >= 0 && -1 + v__0 >= 0] (?,1) 11. eval_p3_bb1_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb7_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1*v__0 + v_x >= 0 && 0 >= v__0] (?,1) 12. eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb3_in(v__0,v__01,v__01,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 >= nondef_0] (?,1) 13. eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb3_in(v__0,v__01,v__01,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 + nondef_0 >= 0] (?,1) 14. eval_p3_bb2_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && nondef_0 = 0] (?,1) 15. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb4_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && -1 >= nondef_1 && -1 + v__1 >= 0] 16. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb4_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && -1 + nondef_1 >= 0 && -1 + v__1 >= 0] 17. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,v__1,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && nondef_1 = 0] 18. eval_p3_bb3_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,v__1,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__0 >= 0 && 0 >= v__1] 19. eval_p3_bb4_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_15(v__0,v__01,v__1,v__3,-1 + v__1,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -2 + v__1 + v_x >= 0 && -2 + v__01 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__1 >= 0 && -2 + v__01 + v__1 >= 0 && -2 + v__0 + v__1 >= 0 && -1 + v__01 >= 0 && -2 + v__0 + v__01 >= 0 && -1 + v__0 >= 0] 20. eval_p3_15(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_16(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -1 + v_12 + v_x >= 0 && -2 + v__1 + v_x >= 0 && -2 + v__01 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + -1*v_12 + v__1 >= 0 && -1 + -1*v_12 + v__01 >= 0 && v_12 >= 0 && -1 + v_12 + v__1 >= 0 && 1 + v_12 + -1*v__1 >= 0 && -1 + v_12 + v__01 >= 0 && -1 + v_12 + v__0 >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__1 >= 0 && -2 + v__01 + v__1 >= 0 && -2 + v__0 + v__1 >= 0 && -1 + v__01 >= 0 && -2 + v__0 + v__01 >= 0 && -1 + v__0 >= 0] 21. eval_p3_16(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb3_in(v__0,v__01,v_12,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 (?,1) && -1 + v_12 + v_x >= 0 && -2 + v__1 + v_x >= 0 && -2 + v__01 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + -1*v_12 + v__1 >= 0 && -1 + -1*v_12 + v__01 >= 0 && v_12 >= 0 && -1 + v_12 + v__1 >= 0 && 1 + v_12 + -1*v__1 >= 0 && -1 + v_12 + v__01 >= 0 && -1 + v_12 + v__0 >= 0 && v__01 + -1*v__1 >= 0 && -1 + v__1 >= 0 && -2 + v__01 + v__1 >= 0 && -2 + v__0 + v__1 >= 0 && -1 + v__01 >= 0 && -2 + v__0 + v__01 >= 0 && -1 + v__0 >= 0] 22. eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,1 + v__01,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 >= nondef_2] (?,1) 23. eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,1 + v__01,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && -1 + nondef_2 >= 0] (?,1) 24. eval_p3_bb5_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb6_in(v__0,v__01,v__1,v_z,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0 && nondef_2 = 0] (?,1) 25. eval_p3_bb6_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_bb1_in(-1 + v__0,v__3,v__1,v__3,v_12,v_x,v_y,v_z) [-1 + v_x >= 0 && -2 + v__0 + v_x >= 0 && -1*v__0 + v_x >= 0 && -1 + v__0 >= 0] (?,1) 26. eval_p3_bb7_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> eval_p3_stop(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) [-1*v__0 + v_x >= 0 && -1*v__0 >= 0] (?,1) 27. eval_p3_bb7_in(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) -> exitus616(v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z) True (?,1) Signature: {(eval_p3_0,8) ;(eval_p3_1,8) ;(eval_p3_15,8) ;(eval_p3_16,8) ;(eval_p3_2,8) ;(eval_p3_3,8) ;(eval_p3_4,8) ;(eval_p3_5,8) ;(eval_p3_6,8) ;(eval_p3_7,8) ;(eval_p3_bb0_in,8) ;(eval_p3_bb1_in,8) ;(eval_p3_bb2_in,8) ;(eval_p3_bb3_in,8) ;(eval_p3_bb4_in,8) ;(eval_p3_bb5_in,8) ;(eval_p3_bb6_in,8) ;(eval_p3_bb7_in,8) ;(eval_p3_start,8) ;(eval_p3_stop,8) ;(exitus616,8)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10,11},10->{12,13,14},11->{26,27} ,12->{15,16,17,18},13->{15,16,17,18},14->{22,23,24},15->{19},16->{19},17->{25},18->{25},19->{20},20->{21} ,21->{15,16,17,18},22->{25},23->{25},24->{25},25->{10,11},26->{},27->{}] ,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] | `- p:[10,25,17,12,13,21,20,19,15,16,18,22,14,23,24] c: [25] | `- p:[15,21,20,19,16] c: [21]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 5: FlowAbstraction WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z,0.0,0.0.0] eval_p3_start ~> eval_p3_bb0_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb0_in ~> eval_p3_0 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_0 ~> eval_p3_1 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_1 ~> eval_p3_2 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_2 ~> eval_p3_3 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_3 ~> eval_p3_4 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_4 ~> eval_p3_5 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_5 ~> eval_p3_6 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_6 ~> eval_p3_7 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_7 ~> eval_p3_bb1_in [v__0 <= v_x, v__01 <= v_y, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb1_in ~> eval_p3_bb2_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb1_in ~> eval_p3_bb7_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb2_in ~> eval_p3_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__01, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb2_in ~> eval_p3_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__01, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb2_in ~> eval_p3_bb5_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb3_in ~> eval_p3_bb4_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb3_in ~> eval_p3_bb4_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb3_in ~> eval_p3_bb6_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__1, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb3_in ~> eval_p3_bb6_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__1, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb4_in ~> eval_p3_15 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v__1, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_15 ~> eval_p3_16 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_16 ~> eval_p3_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v_12, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb5_in ~> eval_p3_bb6_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= K + v__01, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb5_in ~> eval_p3_bb6_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= K + v__01, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb5_in ~> eval_p3_bb6_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v_z, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb6_in ~> eval_p3_bb1_in [v__0 <= v_x, v__01 <= v__3, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb7_in ~> eval_p3_stop [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb7_in ~> exitus616 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] + Loop: [0.0 <= v__0] eval_p3_bb1_in ~> eval_p3_bb2_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb6_in ~> eval_p3_bb1_in [v__0 <= v_x, v__01 <= v__3, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb3_in ~> eval_p3_bb6_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__1, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb2_in ~> eval_p3_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__01, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb2_in ~> eval_p3_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__01, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_16 ~> eval_p3_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v_12, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_15 ~> eval_p3_16 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb4_in ~> eval_p3_15 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v__1, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb3_in ~> eval_p3_bb4_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb3_in ~> eval_p3_bb4_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb3_in ~> eval_p3_bb6_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__1, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb5_in ~> eval_p3_bb6_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= K + v__01, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb2_in ~> eval_p3_bb5_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb5_in ~> eval_p3_bb6_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= K + v__01, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb5_in ~> eval_p3_bb6_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v_z, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] + Loop: [0.0.0 <= K + v_12 + v__1] eval_p3_bb3_in ~> eval_p3_bb4_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_16 ~> eval_p3_bb3_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v_12, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_15 ~> eval_p3_16 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb4_in ~> eval_p3_15 [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v__1, v_x <= v_x, v_y <= v_y, v_z <= v_z] eval_p3_bb3_in ~> eval_p3_bb4_in [v__0 <= v__0, v__01 <= v__01, v__1 <= v__1, v__3 <= v__3, v_12 <= v_12, v_x <= v_x, v_y <= v_y, v_z <= v_z] + Applied Processor: FlowAbstraction + Details: () * Step 6: LareProcessor WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,v__0,v__01,v__1,v__3,v_12,v_x,v_y,v_z,0.0,0.0.0] eval_p3_start ~> eval_p3_bb0_in [] eval_p3_bb0_in ~> eval_p3_0 [] eval_p3_0 ~> eval_p3_1 [] eval_p3_1 ~> eval_p3_2 [] eval_p3_2 ~> eval_p3_3 [] eval_p3_3 ~> eval_p3_4 [] eval_p3_4 ~> eval_p3_5 [] eval_p3_5 ~> eval_p3_6 [] eval_p3_6 ~> eval_p3_7 [] eval_p3_7 ~> eval_p3_bb1_in [v_x ~=> v__0,v_y ~=> v__01] eval_p3_bb1_in ~> eval_p3_bb2_in [] eval_p3_bb1_in ~> eval_p3_bb7_in [] eval_p3_bb2_in ~> eval_p3_bb3_in [v__01 ~=> v__1] eval_p3_bb2_in ~> eval_p3_bb3_in [v__01 ~=> v__1] eval_p3_bb2_in ~> eval_p3_bb5_in [] eval_p3_bb3_in ~> eval_p3_bb4_in [] eval_p3_bb3_in ~> eval_p3_bb4_in [] eval_p3_bb3_in ~> eval_p3_bb6_in [v__1 ~=> v__3] eval_p3_bb3_in ~> eval_p3_bb6_in [v__1 ~=> v__3] eval_p3_bb4_in ~> eval_p3_15 [v__1 ~=> v_12] eval_p3_15 ~> eval_p3_16 [] eval_p3_16 ~> eval_p3_bb3_in [v_12 ~=> v__1] eval_p3_bb5_in ~> eval_p3_bb6_in [v__01 ~+> v__3,K ~+> v__3] eval_p3_bb5_in ~> eval_p3_bb6_in [v__01 ~+> v__3,K ~+> v__3] eval_p3_bb5_in ~> eval_p3_bb6_in [v_z ~=> v__3] eval_p3_bb6_in ~> eval_p3_bb1_in [v__3 ~=> v__01,v_x ~=> v__0] eval_p3_bb7_in ~> eval_p3_stop [] eval_p3_bb7_in ~> exitus616 [] + Loop: [v__0 ~=> 0.0] eval_p3_bb1_in ~> eval_p3_bb2_in [] eval_p3_bb6_in ~> eval_p3_bb1_in [v__3 ~=> v__01,v_x ~=> v__0] eval_p3_bb3_in ~> eval_p3_bb6_in [v__1 ~=> v__3] eval_p3_bb2_in ~> eval_p3_bb3_in [v__01 ~=> v__1] eval_p3_bb2_in ~> eval_p3_bb3_in [v__01 ~=> v__1] eval_p3_16 ~> eval_p3_bb3_in [v_12 ~=> v__1] eval_p3_15 ~> eval_p3_16 [] eval_p3_bb4_in ~> eval_p3_15 [v__1 ~=> v_12] eval_p3_bb3_in ~> eval_p3_bb4_in [] eval_p3_bb3_in ~> eval_p3_bb4_in [] eval_p3_bb3_in ~> eval_p3_bb6_in [v__1 ~=> v__3] eval_p3_bb5_in ~> eval_p3_bb6_in [v__01 ~+> v__3,K ~+> v__3] eval_p3_bb2_in ~> eval_p3_bb5_in [] eval_p3_bb5_in ~> eval_p3_bb6_in [v__01 ~+> v__3,K ~+> v__3] eval_p3_bb5_in ~> eval_p3_bb6_in [v_z ~=> v__3] + Loop: [v_12 ~+> 0.0.0,v__1 ~+> 0.0.0,K ~+> 0.0.0] eval_p3_bb3_in ~> eval_p3_bb4_in [] eval_p3_16 ~> eval_p3_bb3_in [v_12 ~=> v__1] eval_p3_15 ~> eval_p3_16 [] eval_p3_bb4_in ~> eval_p3_15 [v__1 ~=> v_12] eval_p3_bb3_in ~> eval_p3_bb4_in [] + Applied Processor: LareProcessor + Details: eval_p3_start ~> exitus616 [v_x ~=> v__0 ,v_x ~=> 0.0 ,v_y ~=> v_12 ,v_y ~=> v__01 ,v_y ~=> v__1 ,v_y ~=> v__3 ,v_z ~=> v__01 ,v_z ~=> v__3 ,v_12 ~+> 0.0.0 ,v_12 ~+> tick ,v_x ~+> tick ,v_y ~+> v__01 ,v_y ~+> v__3 ,v_y ~+> 0.0.0 ,v_y ~+> tick ,tick ~+> tick ,K ~+> v__01 ,K ~+> v__3 ,K ~+> 0.0.0 ,K ~+> tick ,v_12 ~*> tick ,v_x ~*> v__01 ,v_x ~*> tick ,v_y ~*> 0.0.0 ,v_y ~*> tick ,K ~*> tick] eval_p3_start ~> eval_p3_stop [v_x ~=> v__0 ,v_x ~=> 0.0 ,v_y ~=> v_12 ,v_y ~=> v__01 ,v_y ~=> v__1 ,v_y ~=> v__3 ,v_z ~=> v__01 ,v_z ~=> v__3 ,v_12 ~+> 0.0.0 ,v_12 ~+> tick ,v_x ~+> tick ,v_y ~+> v__01 ,v_y ~+> v__3 ,v_y ~+> 0.0.0 ,v_y ~+> tick ,tick ~+> tick ,K ~+> v__01 ,K ~+> v__3 ,K ~+> 0.0.0 ,K ~+> tick ,v_12 ~*> tick ,v_x ~*> v__01 ,v_x ~*> tick ,v_y ~*> 0.0.0 ,v_y ~*> tick ,K ~*> tick] + eval_p3_bb1_in> [v__0 ~=> 0.0 ,v__01 ~=> v_12 ,v__01 ~=> v__1 ,v__01 ~=> v__3 ,v_x ~=> v__0 ,v_z ~=> v__01 ,v_z ~=> v__3 ,v_12 ~+> 0.0.0 ,v_12 ~+> tick ,v__0 ~+> tick ,v__01 ~+> v__01 ,v__01 ~+> v__3 ,v__01 ~+> 0.0.0 ,v__01 ~+> tick ,tick ~+> tick ,K ~+> v__01 ,K ~+> v__3 ,K ~+> 0.0.0 ,K ~+> tick ,v_12 ~*> tick ,v__0 ~*> v__01 ,v__0 ~*> tick ,v__01 ~*> 0.0.0 ,v__01 ~*> tick ,K ~*> tick] + eval_p3_bb3_in> [v__1 ~=> v_12 ,v_12 ~+> 0.0.0 ,v_12 ~+> tick ,v__1 ~+> 0.0.0 ,v__1 ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick] YES(?,POLY)