YES(?,POLY) * Step 1: TrivialSCCs WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_random2d_start(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) True (1,1) 1. eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_0(v_1,v_2,v_N,v_i_0) True (?,1) 2. eval_random2d_0(v_1,v_2,v_N,v_i_0) -> eval_random2d_1(v_1,v_2,v_N,v_i_0) True (?,1) 3. eval_random2d_1(v_1,v_2,v_N,v_i_0) -> eval_random2d_2(v_1,v_2,v_N,v_i_0) True (?,1) 4. eval_random2d_2(v_1,v_2,v_N,v_i_0) -> eval_random2d_3(v_1,v_2,v_N,v_i_0) True (?,1) 5. eval_random2d_3(v_1,v_2,v_N,v_i_0) -> eval_random2d_4(v_1,v_2,v_N,v_i_0) True (?,1) 6. eval_random2d_4(v_1,v_2,v_N,v_i_0) -> eval_random2d_5(v_1,v_2,v_N,v_i_0) True (?,1) 7. eval_random2d_5(v_1,v_2,v_N,v_i_0) -> eval_random2d_6(v_1,v_2,v_N,v_i_0) True (?,1) 8. eval_random2d_6(v_1,v_2,v_N,v_i_0) -> eval_random2d_7(v_1,v_2,v_N,v_i_0) True (?,1) 9. eval_random2d_7(v_1,v_2,v_N,v_i_0) -> eval_random2d_8(v_1,v_2,v_N,v_i_0) True (?,1) 10. eval_random2d_8(v_1,v_2,v_N,v_i_0) -> eval_random2d_9(v_1,v_2,v_N,v_i_0) True (?,1) 11. eval_random2d_9(v_1,v_2,v_N,v_i_0) -> eval_random2d_10(v_1,v_2,v_N,v_i_0) True (?,1) 12. eval_random2d_10(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,0) True (?,1) 13. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= 0 && v_i_0 >= v_N] (?,1) 14. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= 0 && -1 + v_N >= v_i_0] (?,1) 15. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_stop(v_1,v_2,v_N,v_i_0) [v_i_0 >= 0 && -1*v_N + v_i_0 >= 0] (?,1) 16. eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_12(1 + v_i_0,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] (?,1) 17. eval_random2d_12(v_1,v_2,v_N,v_i_0) -> eval_random2d_13(v_1,nondef_0,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0] 18. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0 && -1 + v_2 >= 3] 19. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0 && -1 >= v_2] 20. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0 && v_2 >= 0 && 3 >= v_2] 21. eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 22. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 >= 2] 23. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && 1 >= v_2] 24. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 >= 3] 25. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && 2 >= v_2] 26. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 >= 1] 27. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && 0 >= v_2] 28. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -3 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -4 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -3 + v_2 >= 0 && -4 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 3] 29. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 2 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 2 + -1*v_2 >= 0 && 1 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 2] 30. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && -1 + v_2 >= 0 && -2 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 1] 31. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1*v_2 >= 0 && -1 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 0] 32. eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -3 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -4 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -3 + v_2 >= 0 && -4 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 33. eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 2 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 2 + -1*v_2 >= 0 && 1 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 34. eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && -1 + v_2 >= 0 && -2 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 35. eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1*v_2 >= 0 && -1 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] Signature: {(eval_random2d_0,4) ;(eval_random2d_1,4) ;(eval_random2d_10,4) ;(eval_random2d_12,4) ;(eval_random2d_13,4) ;(eval_random2d_2,4) ;(eval_random2d_3,4) ;(eval_random2d_4,4) ;(eval_random2d_5,4) ;(eval_random2d_6,4) ;(eval_random2d_7,4) ;(eval_random2d_8,4) ;(eval_random2d_9,4) ;(eval_random2d_LeafBlock1_in,4) ;(eval_random2d_LeafBlock3_in,4) ;(eval_random2d_LeafBlock5_in,4) ;(eval_random2d_LeafBlock_in,4) ;(eval_random2d_NodeBlock7_in,4) ;(eval_random2d_NodeBlock9_in,4) ;(eval_random2d_NodeBlock_in,4) ;(eval_random2d_bb0_in,4) ;(eval_random2d_bb1_in,4) ;(eval_random2d_bb2_in,4) ;(eval_random2d_bb3_in,4) ;(eval_random2d_bb4_in,4) ;(eval_random2d_bb5_in,4) ;(eval_random2d_bb6_in,4) ;(eval_random2d_bb7_in,4) ;(eval_random2d_bb8_in,4) ;(eval_random2d_start,4) ;(eval_random2d_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11},11->{12},12->{13,14} ,13->{15},14->{16},15->{},16->{17},17->{18,19,20},18->{13,14},19->{13,14},20->{21},21->{22,23},22->{24,25} ,23->{26,27},24->{28},25->{29},26->{30},27->{31},28->{32},29->{33},30->{34},31->{35},32->{13,14},33->{13,14} ,34->{13,14},35->{13,14}] + 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_random2d_start(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) True (1,1) 1. eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_0(v_1,v_2,v_N,v_i_0) True (1,1) 2. eval_random2d_0(v_1,v_2,v_N,v_i_0) -> eval_random2d_1(v_1,v_2,v_N,v_i_0) True (1,1) 3. eval_random2d_1(v_1,v_2,v_N,v_i_0) -> eval_random2d_2(v_1,v_2,v_N,v_i_0) True (1,1) 4. eval_random2d_2(v_1,v_2,v_N,v_i_0) -> eval_random2d_3(v_1,v_2,v_N,v_i_0) True (1,1) 5. eval_random2d_3(v_1,v_2,v_N,v_i_0) -> eval_random2d_4(v_1,v_2,v_N,v_i_0) True (1,1) 6. eval_random2d_4(v_1,v_2,v_N,v_i_0) -> eval_random2d_5(v_1,v_2,v_N,v_i_0) True (1,1) 7. eval_random2d_5(v_1,v_2,v_N,v_i_0) -> eval_random2d_6(v_1,v_2,v_N,v_i_0) True (1,1) 8. eval_random2d_6(v_1,v_2,v_N,v_i_0) -> eval_random2d_7(v_1,v_2,v_N,v_i_0) True (1,1) 9. eval_random2d_7(v_1,v_2,v_N,v_i_0) -> eval_random2d_8(v_1,v_2,v_N,v_i_0) True (1,1) 10. eval_random2d_8(v_1,v_2,v_N,v_i_0) -> eval_random2d_9(v_1,v_2,v_N,v_i_0) True (1,1) 11. eval_random2d_9(v_1,v_2,v_N,v_i_0) -> eval_random2d_10(v_1,v_2,v_N,v_i_0) True (1,1) 12. eval_random2d_10(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,0) True (1,1) 13. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= 0 && v_i_0 >= v_N] (1,1) 14. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= 0 && -1 + v_N >= v_i_0] (?,1) 15. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_stop(v_1,v_2,v_N,v_i_0) [v_i_0 >= 0 && -1*v_N + v_i_0 >= 0] (1,1) 16. eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_12(1 + v_i_0,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] (?,1) 17. eval_random2d_12(v_1,v_2,v_N,v_i_0) -> eval_random2d_13(v_1,nondef_0,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0] 18. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0 && -1 + v_2 >= 3] 19. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0 && -1 >= v_2] 20. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0 && v_2 >= 0 && 3 >= v_2] 21. eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 22. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 >= 2] 23. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && 1 >= v_2] 24. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 >= 3] 25. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && 2 >= v_2] 26. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 >= 1] 27. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && 0 >= v_2] 28. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -3 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -4 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -3 + v_2 >= 0 && -4 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 3] 29. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 2 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 2 + -1*v_2 >= 0 && 1 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 2] 30. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && -1 + v_2 >= 0 && -2 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 1] 31. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1*v_2 >= 0 && -1 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 0] 32. eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -3 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -4 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -3 + v_2 >= 0 && -4 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 33. eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 2 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 2 + -1*v_2 >= 0 && 1 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 34. eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && -1 + v_2 >= 0 && -2 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 35. eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1*v_2 >= 0 && -1 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] Signature: {(eval_random2d_0,4) ;(eval_random2d_1,4) ;(eval_random2d_10,4) ;(eval_random2d_12,4) ;(eval_random2d_13,4) ;(eval_random2d_2,4) ;(eval_random2d_3,4) ;(eval_random2d_4,4) ;(eval_random2d_5,4) ;(eval_random2d_6,4) ;(eval_random2d_7,4) ;(eval_random2d_8,4) ;(eval_random2d_9,4) ;(eval_random2d_LeafBlock1_in,4) ;(eval_random2d_LeafBlock3_in,4) ;(eval_random2d_LeafBlock5_in,4) ;(eval_random2d_LeafBlock_in,4) ;(eval_random2d_NodeBlock7_in,4) ;(eval_random2d_NodeBlock9_in,4) ;(eval_random2d_NodeBlock_in,4) ;(eval_random2d_bb0_in,4) ;(eval_random2d_bb1_in,4) ;(eval_random2d_bb2_in,4) ;(eval_random2d_bb3_in,4) ;(eval_random2d_bb4_in,4) ;(eval_random2d_bb5_in,4) ;(eval_random2d_bb6_in,4) ;(eval_random2d_bb7_in,4) ;(eval_random2d_bb8_in,4) ;(eval_random2d_start,4) ;(eval_random2d_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11},11->{12},12->{13,14} ,13->{15},14->{16},15->{},16->{17},17->{18,19,20},18->{13,14},19->{13,14},20->{21},21->{22,23},22->{24,25} ,23->{26,27},24->{28},25->{29},26->{30},27->{31},28->{32},29->{33},30->{34},31->{35},32->{13,14},33->{13,14} ,34->{13,14},35->{13,14}] + Applied Processor: AddSinks + Details: () * Step 3: LooptreeTransformer WORST_CASE(?,POLY) + Considered Problem: Rules: 0. eval_random2d_start(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) True (1,1) 1. eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_0(v_1,v_2,v_N,v_i_0) True (?,1) 2. eval_random2d_0(v_1,v_2,v_N,v_i_0) -> eval_random2d_1(v_1,v_2,v_N,v_i_0) True (?,1) 3. eval_random2d_1(v_1,v_2,v_N,v_i_0) -> eval_random2d_2(v_1,v_2,v_N,v_i_0) True (?,1) 4. eval_random2d_2(v_1,v_2,v_N,v_i_0) -> eval_random2d_3(v_1,v_2,v_N,v_i_0) True (?,1) 5. eval_random2d_3(v_1,v_2,v_N,v_i_0) -> eval_random2d_4(v_1,v_2,v_N,v_i_0) True (?,1) 6. eval_random2d_4(v_1,v_2,v_N,v_i_0) -> eval_random2d_5(v_1,v_2,v_N,v_i_0) True (?,1) 7. eval_random2d_5(v_1,v_2,v_N,v_i_0) -> eval_random2d_6(v_1,v_2,v_N,v_i_0) True (?,1) 8. eval_random2d_6(v_1,v_2,v_N,v_i_0) -> eval_random2d_7(v_1,v_2,v_N,v_i_0) True (?,1) 9. eval_random2d_7(v_1,v_2,v_N,v_i_0) -> eval_random2d_8(v_1,v_2,v_N,v_i_0) True (?,1) 10. eval_random2d_8(v_1,v_2,v_N,v_i_0) -> eval_random2d_9(v_1,v_2,v_N,v_i_0) True (?,1) 11. eval_random2d_9(v_1,v_2,v_N,v_i_0) -> eval_random2d_10(v_1,v_2,v_N,v_i_0) True (?,1) 12. eval_random2d_10(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,0) True (?,1) 13. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= 0 && v_i_0 >= v_N] (?,1) 14. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= 0 && -1 + v_N >= v_i_0] (?,1) 15. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_stop(v_1,v_2,v_N,v_i_0) [v_i_0 >= 0 && -1*v_N + v_i_0 >= 0] (?,1) 16. eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_12(1 + v_i_0,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] (?,1) 17. eval_random2d_12(v_1,v_2,v_N,v_i_0) -> eval_random2d_13(v_1,nondef_0,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0] 18. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0 && -1 + v_2 >= 3] 19. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0 && -1 >= v_2] 20. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0 && v_2 >= 0 && 3 >= v_2] 21. eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 22. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 >= 2] 23. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && 1 >= v_2] 24. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 >= 3] 25. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && 2 >= v_2] 26. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 >= 1] 27. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && 0 >= v_2] 28. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -3 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -4 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -3 + v_2 >= 0 && -4 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 3] 29. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 2 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 2 + -1*v_2 >= 0 && 1 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 2] 30. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && -1 + v_2 >= 0 && -2 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 1] 31. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1*v_2 >= 0 && -1 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 0] 32. eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -3 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -4 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -3 + v_2 >= 0 && -4 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 33. eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 2 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 2 + -1*v_2 >= 0 && 1 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 34. eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && -1 + v_2 >= 0 && -2 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 35. eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1*v_2 >= 0 && -1 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 36. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> exitus616(v_1,v_2,v_N,v_i_0) True (?,1) Signature: {(eval_random2d_0,4) ;(eval_random2d_1,4) ;(eval_random2d_10,4) ;(eval_random2d_12,4) ;(eval_random2d_13,4) ;(eval_random2d_2,4) ;(eval_random2d_3,4) ;(eval_random2d_4,4) ;(eval_random2d_5,4) ;(eval_random2d_6,4) ;(eval_random2d_7,4) ;(eval_random2d_8,4) ;(eval_random2d_9,4) ;(eval_random2d_LeafBlock1_in,4) ;(eval_random2d_LeafBlock3_in,4) ;(eval_random2d_LeafBlock5_in,4) ;(eval_random2d_LeafBlock_in,4) ;(eval_random2d_NodeBlock7_in,4) ;(eval_random2d_NodeBlock9_in,4) ;(eval_random2d_NodeBlock_in,4) ;(eval_random2d_bb0_in,4) ;(eval_random2d_bb1_in,4) ;(eval_random2d_bb2_in,4) ;(eval_random2d_bb3_in,4) ;(eval_random2d_bb4_in,4) ;(eval_random2d_bb5_in,4) ;(eval_random2d_bb6_in,4) ;(eval_random2d_bb7_in,4) ;(eval_random2d_bb8_in,4) ;(eval_random2d_start,4) ;(eval_random2d_stop,4) ;(exitus616,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11},11->{12},12->{13,14} ,13->{15,36},14->{16},15->{},16->{17},17->{18,19,20},18->{13,14},19->{13,14},20->{21},21->{22,23},22->{24 ,25},23->{26,27},24->{28},25->{29},26->{30},27->{31},28->{32},29->{33},30->{34},31->{35},32->{13,14},33->{13 ,14},34->{13,14},35->{13,14},36->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36] | `- p:[14,18,17,16,19,32,28,24,22,21,20,33,29,25,34,30,26,23,35,31,27] c: [35] | `- p:[14,18,17,16,19,32,28,24,22,21,20,33,29,25,34,30,26,23] c: [34] | `- p:[14,18,17,16,19,32,28,24,22,21,20,33,29,25] c: [33] | `- p:[14,18,17,16,19,32,28,24,22,21,20] c: [32] | `- p:[14,18,17,16,19] c: [19] | `- p:[14,18,17,16] c: [18] * Step 4: SizeAbstraction WORST_CASE(?,POLY) + Considered Problem: (Rules: 0. eval_random2d_start(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) True (1,1) 1. eval_random2d_bb0_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_0(v_1,v_2,v_N,v_i_0) True (?,1) 2. eval_random2d_0(v_1,v_2,v_N,v_i_0) -> eval_random2d_1(v_1,v_2,v_N,v_i_0) True (?,1) 3. eval_random2d_1(v_1,v_2,v_N,v_i_0) -> eval_random2d_2(v_1,v_2,v_N,v_i_0) True (?,1) 4. eval_random2d_2(v_1,v_2,v_N,v_i_0) -> eval_random2d_3(v_1,v_2,v_N,v_i_0) True (?,1) 5. eval_random2d_3(v_1,v_2,v_N,v_i_0) -> eval_random2d_4(v_1,v_2,v_N,v_i_0) True (?,1) 6. eval_random2d_4(v_1,v_2,v_N,v_i_0) -> eval_random2d_5(v_1,v_2,v_N,v_i_0) True (?,1) 7. eval_random2d_5(v_1,v_2,v_N,v_i_0) -> eval_random2d_6(v_1,v_2,v_N,v_i_0) True (?,1) 8. eval_random2d_6(v_1,v_2,v_N,v_i_0) -> eval_random2d_7(v_1,v_2,v_N,v_i_0) True (?,1) 9. eval_random2d_7(v_1,v_2,v_N,v_i_0) -> eval_random2d_8(v_1,v_2,v_N,v_i_0) True (?,1) 10. eval_random2d_8(v_1,v_2,v_N,v_i_0) -> eval_random2d_9(v_1,v_2,v_N,v_i_0) True (?,1) 11. eval_random2d_9(v_1,v_2,v_N,v_i_0) -> eval_random2d_10(v_1,v_2,v_N,v_i_0) True (?,1) 12. eval_random2d_10(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,0) True (?,1) 13. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= 0 && v_i_0 >= v_N] (?,1) 14. eval_random2d_bb1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) [v_i_0 >= 0 && -1 + v_N >= v_i_0] (?,1) 15. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_stop(v_1,v_2,v_N,v_i_0) [v_i_0 >= 0 && -1*v_N + v_i_0 >= 0] (?,1) 16. eval_random2d_bb2_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_12(1 + v_i_0,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_N >= 0] (?,1) 17. eval_random2d_12(v_1,v_2,v_N,v_i_0) -> eval_random2d_13(v_1,nondef_0,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0] 18. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0 && -1 + v_2 >= 3] 19. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0 && -1 >= v_2] 20. eval_random2d_13(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1 + v_1 >= 0 && v_2 >= 0 && 3 >= v_2] 21. eval_random2d_bb3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 22. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 >= 2] 23. eval_random2d_NodeBlock9_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && 1 >= v_2] 24. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 >= 3] 25. eval_random2d_NodeBlock7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && 2 >= v_2] 26. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 >= 1] 27. eval_random2d_NodeBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && 0 >= v_2] 28. eval_random2d_LeafBlock5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -3 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -4 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -3 + v_2 >= 0 && -4 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 3] 29. eval_random2d_LeafBlock3_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 2 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 2 + -1*v_2 >= 0 && 1 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 2] 30. eval_random2d_LeafBlock1_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && -1 + v_2 >= 0 && -2 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 1] 31. eval_random2d_LeafBlock_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1*v_2 >= 0 && -1 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0 && v_2 = 0] 32. eval_random2d_bb7_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -3 + v_2 + v_i_0 >= 0 && 3 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -4 + v_2 + v_N >= 0 && 2 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 3 + -1*v_2 >= 0 && 2 + v_1 + -1*v_2 >= 0 && -3 + v_2 >= 0 && -4 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 33. eval_random2d_bb6_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -2 + v_2 + v_i_0 >= 0 && 2 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -3 + v_2 + v_N >= 0 && 1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 2 + -1*v_2 >= 0 && 1 + v_1 + -1*v_2 >= 0 && -2 + v_2 >= 0 && -3 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 34. eval_random2d_bb5_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && -1 + v_2 + v_i_0 >= 0 && 1 + -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -2 + v_2 + v_N >= 0 && -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && 1 + -1*v_2 >= 0 && v_1 + -1*v_2 >= 0 && -1 + v_2 >= 0 && -2 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 35. eval_random2d_bb4_in(v_1,v_2,v_N,v_i_0) -> eval_random2d_bb1_in(v_1,v_2,v_N,v_1) [-1 + v_N + -1*v_i_0 >= 0 (?,1) && -1 + v_1 + -1*v_i_0 >= 0 && v_i_0 >= 0 && -1 + v_N + v_i_0 >= 0 && v_2 + v_i_0 >= 0 && -1*v_2 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_N >= 0 && -1 + v_2 + v_N >= 0 && -1 + -1*v_2 + v_N >= 0 && -2 + v_1 + v_N >= 0 && -1*v_1 + v_N >= 0 && -1*v_2 >= 0 && -1 + v_1 + -1*v_2 >= 0 && v_2 >= 0 && -1 + v_1 + v_2 >= 0 && -1 + v_1 >= 0] 36. eval_random2d_bb8_in(v_1,v_2,v_N,v_i_0) -> exitus616(v_1,v_2,v_N,v_i_0) True (?,1) Signature: {(eval_random2d_0,4) ;(eval_random2d_1,4) ;(eval_random2d_10,4) ;(eval_random2d_12,4) ;(eval_random2d_13,4) ;(eval_random2d_2,4) ;(eval_random2d_3,4) ;(eval_random2d_4,4) ;(eval_random2d_5,4) ;(eval_random2d_6,4) ;(eval_random2d_7,4) ;(eval_random2d_8,4) ;(eval_random2d_9,4) ;(eval_random2d_LeafBlock1_in,4) ;(eval_random2d_LeafBlock3_in,4) ;(eval_random2d_LeafBlock5_in,4) ;(eval_random2d_LeafBlock_in,4) ;(eval_random2d_NodeBlock7_in,4) ;(eval_random2d_NodeBlock9_in,4) ;(eval_random2d_NodeBlock_in,4) ;(eval_random2d_bb0_in,4) ;(eval_random2d_bb1_in,4) ;(eval_random2d_bb2_in,4) ;(eval_random2d_bb3_in,4) ;(eval_random2d_bb4_in,4) ;(eval_random2d_bb5_in,4) ;(eval_random2d_bb6_in,4) ;(eval_random2d_bb7_in,4) ;(eval_random2d_bb8_in,4) ;(eval_random2d_start,4) ;(eval_random2d_stop,4) ;(exitus616,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11},11->{12},12->{13,14} ,13->{15,36},14->{16},15->{},16->{17},17->{18,19,20},18->{13,14},19->{13,14},20->{21},21->{22,23},22->{24 ,25},23->{26,27},24->{28},25->{29},26->{30},27->{31},28->{32},29->{33},30->{34},31->{35},32->{13,14},33->{13 ,14},34->{13,14},35->{13,14},36->{}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36] | `- p:[14,18,17,16,19,32,28,24,22,21,20,33,29,25,34,30,26,23,35,31,27] c: [35] | `- p:[14,18,17,16,19,32,28,24,22,21,20,33,29,25,34,30,26,23] c: [34] | `- p:[14,18,17,16,19,32,28,24,22,21,20,33,29,25] c: [33] | `- p:[14,18,17,16,19,32,28,24,22,21,20] c: [32] | `- p:[14,18,17,16,19] c: [19] | `- p:[14,18,17,16] c: [18]) + Applied Processor: SizeAbstraction UseCFG Minimize + Details: () * Step 5: FlowAbstraction WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [v_1,v_2,v_N,v_i_0,0.0,0.0.0,0.0.0.0,0.0.0.0.0,0.0.0.0.0.0,0.0.0.0.0.0.0] eval_random2d_start ~> eval_random2d_bb0_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb0_in ~> eval_random2d_0 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_0 ~> eval_random2d_1 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_1 ~> eval_random2d_2 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_2 ~> eval_random2d_3 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_3 ~> eval_random2d_4 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_4 ~> eval_random2d_5 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_5 ~> eval_random2d_6 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_6 ~> eval_random2d_7 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_7 ~> eval_random2d_8 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_8 ~> eval_random2d_9 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_9 ~> eval_random2d_10 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_10 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= 0*K] eval_random2d_bb1_in ~> eval_random2d_bb8_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb8_in ~> eval_random2d_stop [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb2_in ~> eval_random2d_12 [v_1 <= v_N, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_12 ~> eval_random2d_13 [v_1 <= v_1, v_2 <= unknown, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_13 ~> eval_random2d_bb3_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock3_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_LeafBlock3_in ~> eval_random2d_bb6_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_LeafBlock1_in ~> eval_random2d_bb5_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_LeafBlock_in ~> eval_random2d_bb4_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_bb6_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_bb5_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_bb4_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_bb8_in ~> exitus616 [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] + Loop: [0.0 <= K + v_1 + v_N + v_i_0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_12 ~> eval_random2d_13 [v_1 <= v_1, v_2 <= unknown, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb2_in ~> eval_random2d_12 [v_1 <= v_N, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb3_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb6_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock3_in ~> eval_random2d_bb6_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock3_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb5_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock1_in ~> eval_random2d_bb5_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb4_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock_in ~> eval_random2d_bb4_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] + Loop: [0.0.0 <= K + v_1 + v_N + v_i_0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_12 ~> eval_random2d_13 [v_1 <= v_1, v_2 <= unknown, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb2_in ~> eval_random2d_12 [v_1 <= v_N, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb3_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb6_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock3_in ~> eval_random2d_bb6_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock3_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb5_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock1_in ~> eval_random2d_bb5_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] + Loop: [0.0.0.0 <= K + v_1 + v_N + v_i_0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_12 ~> eval_random2d_13 [v_1 <= v_1, v_2 <= unknown, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb2_in ~> eval_random2d_12 [v_1 <= v_N, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb3_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb6_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock3_in ~> eval_random2d_bb6_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock3_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] + Loop: [0.0.0.0.0 <= K + v_1 + v_N + v_i_0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_12 ~> eval_random2d_13 [v_1 <= v_1, v_2 <= unknown, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb2_in ~> eval_random2d_12 [v_1 <= v_N, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb3_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] + Loop: [0.0.0.0.0.0 <= K + v_1 + v_N + v_i_0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_12 ~> eval_random2d_13 [v_1 <= v_1, v_2 <= unknown, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb2_in ~> eval_random2d_12 [v_1 <= v_N, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] + Loop: [0.0.0.0.0.0.0 <= v_N + v_i_0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 <= v_1, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_1] eval_random2d_12 ~> eval_random2d_13 [v_1 <= v_1, v_2 <= unknown, v_N <= v_N, v_i_0 <= v_i_0] eval_random2d_bb2_in ~> eval_random2d_12 [v_1 <= v_N, v_2 <= v_2, v_N <= v_N, v_i_0 <= v_i_0] + Applied Processor: FlowAbstraction + Details: () * Step 6: LareProcessor WORST_CASE(?,POLY) + Considered Problem: Program: Domain: [tick,huge,K,v_1,v_2,v_N,v_i_0,0.0,0.0.0,0.0.0.0,0.0.0.0.0,0.0.0.0.0.0,0.0.0.0.0.0.0] eval_random2d_start ~> eval_random2d_bb0_in [] eval_random2d_bb0_in ~> eval_random2d_0 [] eval_random2d_0 ~> eval_random2d_1 [] eval_random2d_1 ~> eval_random2d_2 [] eval_random2d_2 ~> eval_random2d_3 [] eval_random2d_3 ~> eval_random2d_4 [] eval_random2d_4 ~> eval_random2d_5 [] eval_random2d_5 ~> eval_random2d_6 [] eval_random2d_6 ~> eval_random2d_7 [] eval_random2d_7 ~> eval_random2d_8 [] eval_random2d_8 ~> eval_random2d_9 [] eval_random2d_9 ~> eval_random2d_10 [] eval_random2d_10 ~> eval_random2d_bb1_in [K ~=> v_i_0] eval_random2d_bb1_in ~> eval_random2d_bb8_in [] eval_random2d_bb1_in ~> eval_random2d_bb2_in [] eval_random2d_bb8_in ~> eval_random2d_stop [] eval_random2d_bb2_in ~> eval_random2d_12 [v_N ~=> v_1] eval_random2d_12 ~> eval_random2d_13 [huge ~=> v_2] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_13 ~> eval_random2d_bb3_in [] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock_in [] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock3_in [] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock1_in [] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock_in [] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [] eval_random2d_LeafBlock3_in ~> eval_random2d_bb6_in [] eval_random2d_LeafBlock1_in ~> eval_random2d_bb5_in [] eval_random2d_LeafBlock_in ~> eval_random2d_bb4_in [] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_bb6_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_bb5_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_bb4_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_bb8_in ~> exitus616 [] + Loop: [v_1 ~+> 0.0,v_N ~+> 0.0,v_i_0 ~+> 0.0,K ~+> 0.0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_12 ~> eval_random2d_13 [huge ~=> v_2] eval_random2d_bb2_in ~> eval_random2d_12 [v_N ~=> v_1] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [] eval_random2d_13 ~> eval_random2d_bb3_in [] eval_random2d_bb6_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock3_in ~> eval_random2d_bb6_in [] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock3_in [] eval_random2d_bb5_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock1_in ~> eval_random2d_bb5_in [] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock1_in [] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock_in [] eval_random2d_bb4_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock_in ~> eval_random2d_bb4_in [] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock_in [] + Loop: [v_1 ~+> 0.0.0,v_N ~+> 0.0.0,v_i_0 ~+> 0.0.0,K ~+> 0.0.0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_12 ~> eval_random2d_13 [huge ~=> v_2] eval_random2d_bb2_in ~> eval_random2d_12 [v_N ~=> v_1] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [] eval_random2d_13 ~> eval_random2d_bb3_in [] eval_random2d_bb6_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock3_in ~> eval_random2d_bb6_in [] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock3_in [] eval_random2d_bb5_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock1_in ~> eval_random2d_bb5_in [] eval_random2d_NodeBlock_in ~> eval_random2d_LeafBlock1_in [] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock_in [] + Loop: [v_1 ~+> 0.0.0.0,v_N ~+> 0.0.0.0,v_i_0 ~+> 0.0.0.0,K ~+> 0.0.0.0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_12 ~> eval_random2d_13 [huge ~=> v_2] eval_random2d_bb2_in ~> eval_random2d_12 [v_N ~=> v_1] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [] eval_random2d_13 ~> eval_random2d_bb3_in [] eval_random2d_bb6_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock3_in ~> eval_random2d_bb6_in [] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock3_in [] + Loop: [v_1 ~+> 0.0.0.0.0,v_N ~+> 0.0.0.0.0,v_i_0 ~+> 0.0.0.0.0,K ~+> 0.0.0.0.0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_12 ~> eval_random2d_13 [huge ~=> v_2] eval_random2d_bb2_in ~> eval_random2d_12 [v_N ~=> v_1] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_bb7_in ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_LeafBlock5_in ~> eval_random2d_bb7_in [] eval_random2d_NodeBlock7_in ~> eval_random2d_LeafBlock5_in [] eval_random2d_NodeBlock9_in ~> eval_random2d_NodeBlock7_in [] eval_random2d_bb3_in ~> eval_random2d_NodeBlock9_in [] eval_random2d_13 ~> eval_random2d_bb3_in [] + Loop: [v_1 ~+> 0.0.0.0.0.0,v_N ~+> 0.0.0.0.0.0,v_i_0 ~+> 0.0.0.0.0.0,K ~+> 0.0.0.0.0.0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_12 ~> eval_random2d_13 [huge ~=> v_2] eval_random2d_bb2_in ~> eval_random2d_12 [v_N ~=> v_1] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] + Loop: [v_N ~+> 0.0.0.0.0.0.0,v_i_0 ~+> 0.0.0.0.0.0.0] eval_random2d_bb1_in ~> eval_random2d_bb2_in [] eval_random2d_13 ~> eval_random2d_bb1_in [v_1 ~=> v_i_0] eval_random2d_12 ~> eval_random2d_13 [huge ~=> v_2] eval_random2d_bb2_in ~> eval_random2d_12 [v_N ~=> v_1] + Applied Processor: LareProcessor + Details: eval_random2d_start ~> eval_random2d_stop [v_1 ~=> v_i_0 ,v_N ~=> v_1 ,v_N ~=> v_i_0 ,K ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0 ,v_1 ~+> 0.0.0 ,v_1 ~+> 0.0.0.0 ,v_1 ~+> 0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0.0 ,v_1 ~+> tick ,v_N ~+> 0.0 ,v_N ~+> 0.0.0 ,v_N ~+> 0.0.0.0 ,v_N ~+> 0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> 0.0.0.0.0.0 ,K ~+> 0.0.0.0.0.0.0 ,K ~+> tick ,v_1 ~*> 0.0.0 ,v_1 ~*> 0.0.0.0 ,v_1 ~*> 0.0.0.0.0 ,v_1 ~*> 0.0.0.0.0.0 ,v_1 ~*> tick ,v_N ~*> 0.0.0 ,v_N ~*> 0.0.0.0 ,v_N ~*> 0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0.0 ,v_N ~*> tick ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> 0.0.0.0 ,K ~*> 0.0.0.0.0 ,K ~*> 0.0.0.0.0.0 ,K ~*> tick] eval_random2d_start ~> exitus616 [v_1 ~=> v_i_0 ,v_N ~=> v_1 ,v_N ~=> v_i_0 ,K ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0 ,v_1 ~+> 0.0.0 ,v_1 ~+> 0.0.0.0 ,v_1 ~+> 0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0.0 ,v_1 ~+> tick ,v_N ~+> 0.0 ,v_N ~+> 0.0.0 ,v_N ~+> 0.0.0.0 ,v_N ~+> 0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> 0.0.0.0.0.0 ,K ~+> 0.0.0.0.0.0.0 ,K ~+> tick ,v_1 ~*> 0.0.0 ,v_1 ~*> 0.0.0.0 ,v_1 ~*> 0.0.0.0.0 ,v_1 ~*> 0.0.0.0.0.0 ,v_1 ~*> tick ,v_N ~*> 0.0.0 ,v_N ~*> 0.0.0.0 ,v_N ~*> 0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0.0 ,v_N ~*> tick ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> 0.0.0.0 ,K ~*> 0.0.0.0.0 ,K ~*> 0.0.0.0.0.0 ,K ~*> tick] + eval_random2d_bb1_in> [v_1 ~=> v_i_0 ,v_N ~=> v_1 ,v_N ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0 ,v_1 ~+> 0.0.0 ,v_1 ~+> 0.0.0.0 ,v_1 ~+> 0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0.0 ,v_1 ~+> tick ,v_N ~+> 0.0 ,v_N ~+> 0.0.0 ,v_N ~+> 0.0.0.0 ,v_N ~+> 0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,v_i_0 ~+> 0.0 ,v_i_0 ~+> 0.0.0 ,v_i_0 ~+> 0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0.0 ,v_i_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> 0.0.0.0.0.0 ,K ~+> tick ,v_1 ~*> 0.0.0 ,v_1 ~*> 0.0.0.0 ,v_1 ~*> 0.0.0.0.0 ,v_1 ~*> 0.0.0.0.0.0 ,v_1 ~*> tick ,v_N ~*> 0.0.0 ,v_N ~*> 0.0.0.0 ,v_N ~*> 0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0.0 ,v_N ~*> tick ,v_i_0 ~*> tick ,K ~*> tick] + eval_random2d_bb1_in> [v_1 ~=> v_i_0 ,v_N ~=> v_1 ,v_N ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0.0 ,v_1 ~+> 0.0.0.0 ,v_1 ~+> 0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0.0 ,v_1 ~+> tick ,v_N ~+> 0.0.0 ,v_N ~+> 0.0.0.0 ,v_N ~+> 0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,v_i_0 ~+> 0.0.0 ,v_i_0 ~+> 0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0.0 ,v_i_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> 0.0.0.0.0.0 ,K ~+> tick ,v_1 ~*> 0.0.0.0 ,v_1 ~*> 0.0.0.0.0 ,v_1 ~*> 0.0.0.0.0.0 ,v_1 ~*> tick ,v_N ~*> 0.0.0.0 ,v_N ~*> 0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0.0 ,v_N ~*> tick ,v_i_0 ~*> tick ,K ~*> tick] eval_random2d_NodeBlock_in> [v_1 ~=> v_i_0 ,v_N ~=> v_1 ,v_N ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0.0 ,v_1 ~+> 0.0.0.0 ,v_1 ~+> 0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0.0 ,v_1 ~+> tick ,v_N ~+> 0.0.0 ,v_N ~+> 0.0.0.0 ,v_N ~+> 0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,v_i_0 ~+> 0.0.0 ,v_i_0 ~+> 0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0.0 ,v_i_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> 0.0.0.0.0.0 ,K ~+> tick ,v_1 ~*> 0.0.0.0 ,v_1 ~*> 0.0.0.0.0 ,v_1 ~*> 0.0.0.0.0.0 ,v_1 ~*> tick ,v_N ~*> 0.0.0.0 ,v_N ~*> 0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0.0 ,v_N ~*> tick ,v_i_0 ~*> tick ,K ~*> tick] + eval_random2d_bb1_in> [v_1 ~=> v_i_0 ,v_N ~=> v_1 ,v_N ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0.0.0 ,v_1 ~+> 0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0.0 ,v_1 ~+> tick ,v_N ~+> 0.0.0.0 ,v_N ~+> 0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,v_i_0 ~+> 0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0.0 ,v_i_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> 0.0.0.0.0.0 ,K ~+> tick ,v_1 ~*> 0.0.0.0.0 ,v_1 ~*> 0.0.0.0.0.0 ,v_1 ~*> tick ,v_N ~*> 0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0.0 ,v_N ~*> tick ,v_i_0 ~*> tick ,K ~*> tick] eval_random2d_NodeBlock9_in> [v_1 ~=> v_i_0 ,v_N ~=> v_1 ,v_N ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0.0.0 ,v_1 ~+> 0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0.0 ,v_1 ~+> tick ,v_N ~+> 0.0.0.0 ,v_N ~+> 0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,v_i_0 ~+> 0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0.0 ,v_i_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0 ,K ~+> 0.0.0.0.0 ,K ~+> 0.0.0.0.0.0 ,K ~+> tick ,v_1 ~*> 0.0.0.0.0 ,v_1 ~*> 0.0.0.0.0.0 ,v_1 ~*> tick ,v_N ~*> 0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0.0 ,v_N ~*> tick ,v_i_0 ~*> tick ,K ~*> tick] + eval_random2d_NodeBlock9_in> [v_1 ~=> v_i_0 ,v_N ~=> v_1 ,v_N ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0.0 ,v_1 ~+> tick ,v_N ~+> 0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,v_i_0 ~+> 0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0.0 ,v_i_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0.0 ,K ~+> 0.0.0.0.0.0 ,K ~+> tick ,v_1 ~*> 0.0.0.0.0.0 ,v_1 ~*> tick ,v_N ~*> 0.0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0.0 ,v_N ~*> tick ,v_i_0 ~*> tick ,K ~*> tick] eval_random2d_bb1_in> [v_1 ~=> v_i_0 ,v_N ~=> v_1 ,v_N ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0.0 ,v_1 ~+> tick ,v_N ~+> 0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,v_i_0 ~+> 0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0.0 ,v_i_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0.0 ,K ~+> 0.0.0.0.0.0 ,K ~+> tick ,v_1 ~*> 0.0.0.0.0.0 ,v_1 ~*> tick ,v_N ~*> 0.0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0.0 ,v_N ~*> tick ,v_i_0 ~*> tick ,K ~*> tick] eval_random2d_NodeBlock7_in> [v_1 ~=> v_i_0 ,v_N ~=> v_1 ,v_N ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0 ,v_1 ~+> 0.0.0.0.0.0.0 ,v_1 ~+> tick ,v_N ~+> 0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,v_i_0 ~+> 0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0.0 ,v_i_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0.0 ,K ~+> 0.0.0.0.0.0 ,K ~+> tick ,v_1 ~*> 0.0.0.0.0.0 ,v_1 ~*> tick ,v_N ~*> 0.0.0.0.0.0 ,v_N ~*> 0.0.0.0.0.0.0 ,v_N ~*> tick ,v_i_0 ~*> tick ,K ~*> tick] + eval_random2d_bb1_in> [v_N ~=> v_1 ,v_N ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0.0.0.0.0 ,v_1 ~+> tick ,v_N ~+> 0.0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,v_i_0 ~+> 0.0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0.0 ,v_i_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0.0.0 ,K ~+> tick ,v_1 ~*> tick ,v_N ~*> 0.0.0.0.0.0.0 ,v_N ~*> tick ,v_i_0 ~*> tick ,K ~*> tick] eval_random2d_13> [v_N ~=> v_1 ,v_N ~=> v_i_0 ,huge ~=> v_2 ,v_1 ~+> 0.0.0.0.0.0 ,v_1 ~+> tick ,v_N ~+> 0.0.0.0.0.0 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,v_i_0 ~+> 0.0.0.0.0.0 ,v_i_0 ~+> 0.0.0.0.0.0.0 ,v_i_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0.0.0.0.0 ,K ~+> tick ,v_1 ~*> tick ,v_N ~*> 0.0.0.0.0.0.0 ,v_N ~*> tick ,v_i_0 ~*> tick ,K ~*> tick] + eval_random2d_bb1_in> [v_N ~=> v_1 ,v_N ~=> v_i_0 ,huge ~=> v_2 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,v_i_0 ~+> 0.0.0.0.0.0.0 ,v_i_0 ~+> tick ,tick ~+> tick] eval_random2d_13> [v_N ~=> v_1 ,v_N ~=> v_i_0 ,huge ~=> v_2 ,v_N ~+> 0.0.0.0.0.0.0 ,v_N ~+> tick ,v_i_0 ~+> 0.0.0.0.0.0.0 ,v_i_0 ~+> tick ,tick ~+> tick] YES(?,POLY)