WORST_CASE(INF,?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f577_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 && arg2==arg2P_1 && 1==arg3P_1 ], cost: 1 1: f1_0_main_Load -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1 && arg2>0 && arg1>0 && arg1P_2>-1 ], cost: 1 2: f1_0_main_Load -> f1098_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ x11_1>-1 && arg2>0 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 && arg2P_3>0 ], cost: 1 5: f577_0_createTree_GT -> f1081_0_createTree_GE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2>-1 && arg1>0 && arg3>0 && arg3-1 && arg1==arg1P_6 && -1+arg1==arg2P_6 && 0==arg3P_6 && arg2==arg5P_6 && 1+arg3==arg6P_6 ], cost: 1 9: f1116_0_dupTree_FieldAccess -> f1152_0_dupList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>-1 ], cost: 1 4: f1098_0_main_InvokeMethod -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ x17_1>0 && arg3>1 && arg1P_5<=arg2 && arg1>0 && arg2>0 && arg1P_5>0 ], cost: 1 3: f394_0_createTree_Return -> f1098_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg1P_4<=arg1 && -1+arg2P_4<=arg1 && arg1>0 && arg1P_4>0 && arg2P_4>1 && arg2==arg3P_4 ], cost: 1 6: f1081_0_createTree_GE -> f577_0_createTree_GT : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1081_0_createTree_GE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1081_0_createTree_GE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 1+arg1P_11<=arg1 && arg1>0 && arg1P_11>-1 ], cost: 1 11: f1152_0_dupList_NONNULL -> f1349_0_dupList_InvokeMethod : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, [ -2+arg1P_12<=arg1 && 2+arg2P_12<=arg1 && 2+arg4P_12<=arg1 && arg1>3 && arg1P_12>5 && arg2P_12>-1 && arg4P_12>-1 && arg2==arg3P_12 ], cost: 1 12: f1152_0_dupList_NONNULL -> f1349_0_dupList_InvokeMethod : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 1+arg2P_13<=arg1 && 1+arg4P_13<=arg1 && arg1>0 && arg1P_13>10 && arg2P_13>-1 && arg4P_13>-1 && arg2==arg3P_13 ], cost: 1 13: f1349_0_dupList_InvokeMethod -> f1152_0_dupList_NONNULL : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ 4+arg1P_14<=arg1 && arg1P_14<=arg2 && arg1P_14<=arg4 && arg1>4 && arg2>-1 && arg4>-1 && arg1P_14>-1 && arg3==arg2P_14 ], cost: 1 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 Removed unreachable and leaf rules: Start location: __init 0: f1_0_main_Load -> f577_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 && arg2==arg2P_1 && 1==arg3P_1 ], cost: 1 1: f1_0_main_Load -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1 && arg2>0 && arg1>0 && arg1P_2>-1 ], cost: 1 2: f1_0_main_Load -> f1098_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ x11_1>-1 && arg2>0 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 && arg2P_3>0 ], cost: 1 5: f577_0_createTree_GT -> f1081_0_createTree_GE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2>-1 && arg1>0 && arg3>0 && arg3-1 && arg1==arg1P_6 && -1+arg1==arg2P_6 && 0==arg3P_6 && arg2==arg5P_6 && 1+arg3==arg6P_6 ], cost: 1 9: f1116_0_dupTree_FieldAccess -> f1152_0_dupList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>-1 ], cost: 1 4: f1098_0_main_InvokeMethod -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ x17_1>0 && arg3>1 && arg1P_5<=arg2 && arg1>0 && arg2>0 && arg1P_5>0 ], cost: 1 6: f1081_0_createTree_GE -> f577_0_createTree_GT : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1081_0_createTree_GE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1081_0_createTree_GE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 1+arg1P_11<=arg1 && arg1>0 && arg1P_11>-1 ], cost: 1 11: f1152_0_dupList_NONNULL -> f1349_0_dupList_InvokeMethod : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, [ -2+arg1P_12<=arg1 && 2+arg2P_12<=arg1 && 2+arg4P_12<=arg1 && arg1>3 && arg1P_12>5 && arg2P_12>-1 && arg4P_12>-1 && arg2==arg3P_12 ], cost: 1 12: f1152_0_dupList_NONNULL -> f1349_0_dupList_InvokeMethod : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 1+arg2P_13<=arg1 && 1+arg4P_13<=arg1 && arg1>0 && arg1P_13>10 && arg2P_13>-1 && arg4P_13>-1 && arg2==arg3P_13 ], cost: 1 13: f1349_0_dupList_InvokeMethod -> f1152_0_dupList_NONNULL : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ 4+arg1P_14<=arg1 && arg1P_14<=arg2 && arg1P_14<=arg4 && arg1>4 && arg2>-1 && arg4>-1 && arg1P_14>-1 && arg3==arg2P_14 ], cost: 1 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f577_0_createTree_GT : arg1'=arg1P_1, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 ], cost: 1 1: f1_0_main_Load -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1 && arg2>0 && arg1>0 && arg1P_2>-1 ], cost: 1 2: f1_0_main_Load -> f1098_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg2>0 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 && arg2P_3>0 ], cost: 1 5: f577_0_createTree_GT -> f1081_0_createTree_GE : arg2'=-1+arg1, arg3'=0, arg4'=arg4P_6, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg3-1 ], cost: 1 9: f1116_0_dupTree_FieldAccess -> f1152_0_dupList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>-1 ], cost: 1 4: f1098_0_main_InvokeMethod -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg3>1 && arg1P_5<=arg2 && arg1>0 && arg2>0 && arg1P_5>0 ], cost: 1 6: f1081_0_createTree_GE -> f577_0_createTree_GT : arg1'=-1+arg2, arg2'=arg5, arg3'=arg6, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 7: f1081_0_createTree_GE -> f1081_0_createTree_GE : arg3'=1+arg3, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 8: f1081_0_createTree_GE -> f1081_0_createTree_GE : arg3'=1+arg3, arg6'=arg6P_9, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 10: f1152_0_dupList_NONNULL -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 1+arg1P_11<=arg1 && arg1>0 && arg1P_11>-1 ], cost: 1 11: f1152_0_dupList_NONNULL -> f1349_0_dupList_InvokeMethod : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg2, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, [ -2+arg1P_12<=arg1 && 2+arg2P_12<=arg1 && 2+arg4P_12<=arg1 && arg1>3 && arg1P_12>5 && arg2P_12>-1 && arg4P_12>-1 ], cost: 1 12: f1152_0_dupList_NONNULL -> f1349_0_dupList_InvokeMethod : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg2, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 1+arg2P_13<=arg1 && 1+arg4P_13<=arg1 && arg1>0 && arg1P_13>10 && arg2P_13>-1 && arg4P_13>-1 ], cost: 1 13: f1349_0_dupList_InvokeMethod -> f1152_0_dupList_NONNULL : arg1'=arg1P_14, arg2'=arg3, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ 4+arg1P_14<=arg1 && arg1P_14<=arg2 && arg1P_14<=arg4 && arg1>4 && arg2>-1 && arg4>-1 && arg1P_14>-1 ], cost: 1 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 5. Accelerating the following rules: 7: f1081_0_createTree_GE -> f1081_0_createTree_GE : arg3'=1+arg3, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 8: f1081_0_createTree_GE -> f1081_0_createTree_GE : arg3'=1+arg3, arg6'=arg6P_9, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 Accelerated rule 7 with metering function -arg3+arg4, yielding the new rule 15. Accelerated rule 8 with metering function -arg3+arg4 (after strengthening guard), yielding the new rule 16. Removing the simple loops: 7. Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f577_0_createTree_GT : arg1'=arg1P_1, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 ], cost: 1 1: f1_0_main_Load -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1 && arg2>0 && arg1>0 && arg1P_2>-1 ], cost: 1 2: f1_0_main_Load -> f1098_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg2>0 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 && arg2P_3>0 ], cost: 1 5: f577_0_createTree_GT -> f1081_0_createTree_GE : arg2'=-1+arg1, arg3'=0, arg4'=arg4P_6, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg3-1 ], cost: 1 9: f1116_0_dupTree_FieldAccess -> f1152_0_dupList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>-1 ], cost: 1 4: f1098_0_main_InvokeMethod -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg3>1 && arg1P_5<=arg2 && arg1>0 && arg2>0 && arg1P_5>0 ], cost: 1 6: f1081_0_createTree_GE -> f577_0_createTree_GT : arg1'=-1+arg2, arg2'=arg5, arg3'=arg6, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 8: f1081_0_createTree_GE -> f1081_0_createTree_GE : arg3'=1+arg3, arg6'=arg6P_9, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 15: f1081_0_createTree_GE -> f1081_0_createTree_GE : arg3'=arg4, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: -arg3+arg4 16: f1081_0_createTree_GE -> f1081_0_createTree_GE : arg3'=arg4, arg6'=arg6P_9, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 && arg6P_9>1 ], cost: -arg3+arg4 10: f1152_0_dupList_NONNULL -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 1+arg1P_11<=arg1 && arg1>0 && arg1P_11>-1 ], cost: 1 11: f1152_0_dupList_NONNULL -> f1349_0_dupList_InvokeMethod : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg2, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, [ -2+arg1P_12<=arg1 && 2+arg2P_12<=arg1 && 2+arg4P_12<=arg1 && arg1>3 && arg1P_12>5 && arg2P_12>-1 && arg4P_12>-1 ], cost: 1 12: f1152_0_dupList_NONNULL -> f1349_0_dupList_InvokeMethod : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg2, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 1+arg2P_13<=arg1 && 1+arg4P_13<=arg1 && arg1>0 && arg1P_13>10 && arg2P_13>-1 && arg4P_13>-1 ], cost: 1 13: f1349_0_dupList_InvokeMethod -> f1152_0_dupList_NONNULL : arg1'=arg1P_14, arg2'=arg3, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ 4+arg1P_14<=arg1 && arg1P_14<=arg2 && arg1P_14<=arg4 && arg1>4 && arg2>-1 && arg4>-1 && arg1P_14>-1 ], cost: 1 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f577_0_createTree_GT : arg1'=arg1P_1, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 ], cost: 1 1: f1_0_main_Load -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1 && arg2>0 && arg1>0 && arg1P_2>-1 ], cost: 1 2: f1_0_main_Load -> f1098_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg2>0 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 && arg2P_3>0 ], cost: 1 5: f577_0_createTree_GT -> f1081_0_createTree_GE : arg2'=-1+arg1, arg3'=0, arg4'=arg4P_6, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg3-1 ], cost: 1 17: f577_0_createTree_GT -> f1081_0_createTree_GE : arg2'=-1+arg1, arg3'=1, arg4'=arg4P_6, arg5'=arg2, arg6'=arg6P_9, [ arg1>0 && arg3>0 && arg30 ], cost: 2 18: f577_0_createTree_GT -> f1081_0_createTree_GE : arg2'=-1+arg1, arg3'=arg4P_6, arg4'=arg4P_6, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_6 19: f577_0_createTree_GT -> f1081_0_createTree_GE : arg2'=-1+arg1, arg3'=arg4P_6, arg4'=arg4P_6, arg5'=arg2, arg6'=arg6P_9, [ arg1>0 && arg3>0 && arg30 && arg6P_9>1 ], cost: 1+arg4P_6 9: f1116_0_dupTree_FieldAccess -> f1152_0_dupList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>-1 ], cost: 1 4: f1098_0_main_InvokeMethod -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg3>1 && arg1P_5<=arg2 && arg1>0 && arg2>0 && arg1P_5>0 ], cost: 1 6: f1081_0_createTree_GE -> f577_0_createTree_GT : arg1'=-1+arg2, arg2'=arg5, arg3'=arg6, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 10: f1152_0_dupList_NONNULL -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 1+arg1P_11<=arg1 && arg1>0 && arg1P_11>-1 ], cost: 1 11: f1152_0_dupList_NONNULL -> f1349_0_dupList_InvokeMethod : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg2, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, [ -2+arg1P_12<=arg1 && 2+arg2P_12<=arg1 && 2+arg4P_12<=arg1 && arg1>3 && arg1P_12>5 && arg2P_12>-1 && arg4P_12>-1 ], cost: 1 12: f1152_0_dupList_NONNULL -> f1349_0_dupList_InvokeMethod : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg2, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 1+arg2P_13<=arg1 && 1+arg4P_13<=arg1 && arg1>0 && arg1P_13>10 && arg2P_13>-1 && arg4P_13>-1 ], cost: 1 13: f1349_0_dupList_InvokeMethod -> f1152_0_dupList_NONNULL : arg1'=arg1P_14, arg2'=arg3, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ 4+arg1P_14<=arg1 && arg1P_14<=arg2 && arg1P_14<=arg4 && arg1>4 && arg2>-1 && arg4>-1 && arg1P_14>-1 ], cost: 1 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 Eliminated locations (on linear paths): Start location: __init 0: f1_0_main_Load -> f577_0_createTree_GT : arg1'=arg1P_1, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 ], cost: 1 1: f1_0_main_Load -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1 && arg2>0 && arg1>0 && arg1P_2>-1 ], cost: 1 20: f1_0_main_Load -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2>0 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_5<=arg2P_3 && arg1P_5>0 ], cost: 2 5: f577_0_createTree_GT -> f1081_0_createTree_GE : arg2'=-1+arg1, arg3'=0, arg4'=arg4P_6, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg3-1 ], cost: 1 17: f577_0_createTree_GT -> f1081_0_createTree_GE : arg2'=-1+arg1, arg3'=1, arg4'=arg4P_6, arg5'=arg2, arg6'=arg6P_9, [ arg1>0 && arg3>0 && arg30 ], cost: 2 18: f577_0_createTree_GT -> f1081_0_createTree_GE : arg2'=-1+arg1, arg3'=arg4P_6, arg4'=arg4P_6, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_6 19: f577_0_createTree_GT -> f1081_0_createTree_GE : arg2'=-1+arg1, arg3'=arg4P_6, arg4'=arg4P_6, arg5'=arg2, arg6'=arg6P_9, [ arg1>0 && arg3>0 && arg30 && arg6P_9>1 ], cost: 1+arg4P_6 9: f1116_0_dupTree_FieldAccess -> f1152_0_dupList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>-1 ], cost: 1 6: f1081_0_createTree_GE -> f577_0_createTree_GT : arg1'=-1+arg2, arg2'=arg5, arg3'=arg6, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 10: f1152_0_dupList_NONNULL -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 1+arg1P_11<=arg1 && arg1>0 && arg1P_11>-1 ], cost: 1 11: f1152_0_dupList_NONNULL -> f1349_0_dupList_InvokeMethod : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg2, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, [ -2+arg1P_12<=arg1 && 2+arg2P_12<=arg1 && 2+arg4P_12<=arg1 && arg1>3 && arg1P_12>5 && arg2P_12>-1 && arg4P_12>-1 ], cost: 1 12: f1152_0_dupList_NONNULL -> f1349_0_dupList_InvokeMethod : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg2, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 1+arg2P_13<=arg1 && 1+arg4P_13<=arg1 && arg1>0 && arg1P_13>10 && arg2P_13>-1 && arg4P_13>-1 ], cost: 1 13: f1349_0_dupList_InvokeMethod -> f1152_0_dupList_NONNULL : arg1'=arg1P_14, arg2'=arg3, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ 4+arg1P_14<=arg1 && arg1P_14<=arg2 && arg1P_14<=arg4 && arg1>4 && arg2>-1 && arg4>-1 && arg1P_14>-1 ], cost: 1 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 24: f577_0_createTree_GT -> f577_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=1+arg3, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1>0 && arg3>0 && arg30 ], cost: 2 25: f577_0_createTree_GT -> f577_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=arg6P_9, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1>0 && arg3>0 && arg31 && arg6P_9>1 ], cost: 3 26: f577_0_createTree_GT -> [10] : [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_6 27: f577_0_createTree_GT -> [10] : [ arg1>0 && arg3>0 && arg30 && arg6P_9>1 ], cost: 1+arg4P_6 9: f1116_0_dupTree_FieldAccess -> f1152_0_dupList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>-1 ], cost: 1 10: f1152_0_dupList_NONNULL -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 1+arg1P_11<=arg1 && arg1>0 && arg1P_11>-1 ], cost: 1 28: f1152_0_dupList_NONNULL -> f1152_0_dupList_NONNULL : arg1'=arg1P_14, arg2'=arg2, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ -2+arg1P_12<=arg1 && 2+arg2P_12<=arg1 && 2+arg4P_12<=arg1 && arg1>3 && arg1P_12>5 && arg2P_12>-1 && arg4P_12>-1 && 4+arg1P_14<=arg1P_12 && arg1P_14<=arg2P_12 && arg1P_14<=arg4P_12 && arg1P_14>-1 ], cost: 2 29: f1152_0_dupList_NONNULL -> f1152_0_dupList_NONNULL : arg1'=arg1P_14, arg2'=arg2, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ 1+arg2P_13<=arg1 && 1+arg4P_13<=arg1 && arg1>0 && arg1P_13>10 && arg2P_13>-1 && arg4P_13>-1 && 4+arg1P_14<=arg1P_13 && arg1P_14<=arg2P_13 && arg1P_14<=arg4P_13 && arg1P_14>-1 ], cost: 2 21: __init -> f577_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2P_15>0 && arg1P_15>0 ], cost: 2 22: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>-1 ], cost: 2 23: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_5<=arg2P_3 && arg1P_5>0 ], cost: 3 Accelerating simple loops of location 1. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 24: f577_0_createTree_GT -> f577_0_createTree_GT : arg1'=-2+arg1, arg3'=1+arg3, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1>0 && arg3>0 && arg3 f577_0_createTree_GT : arg1'=-2+arg1, arg3'=arg6P_9, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1>0 && arg3>0 && arg31 ], cost: 3 Found no metering function for rule 24. Accelerated rule 25 with metering function meter (where 2*meter==arg1) (after strengthening guard), yielding the new rule 30. During metering: Instantiating temporary variables by {meter==1,arg6P_9==-1+arg2} Removing the simple loops:. Accelerating simple loops of location 6. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 28: f1152_0_dupList_NONNULL -> f1152_0_dupList_NONNULL : arg1'=arg1P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ arg1>3 && arg1P_14>-1 && 4+arg1P_14<=2+arg1 ], cost: 2 29: f1152_0_dupList_NONNULL -> f1152_0_dupList_NONNULL : arg1'=arg1P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ arg1>0 && arg1P_14>-1 && arg1P_14<=-1+arg1 ], cost: 2 During metering: Instantiating temporary variables by {arg1P_14==-2+arg1} Accelerated rule 28 with metering function meter_2 (where 2*meter_2==-3+arg1), yielding the new rule 31. During metering: Instantiating temporary variables by {arg1P_14==-1+arg1} Accelerated rule 29 with metering function arg1, yielding the new rule 32. During metering: Instantiating temporary variables by {meter_2==1,arg1P_14==0} Removing the simple loops: 28 29. Accelerated all simple loops using metering functions (where possible): Start location: __init 24: f577_0_createTree_GT -> f577_0_createTree_GT : arg1'=-2+arg1, arg3'=1+arg3, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1>0 && arg3>0 && arg3 f577_0_createTree_GT : arg1'=-2+arg1, arg3'=arg6P_9, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1>0 && arg3>0 && arg31 ], cost: 3 26: f577_0_createTree_GT -> [10] : [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_6 27: f577_0_createTree_GT -> [10] : [ arg1>0 && arg3>0 && arg30 && arg6P_9>1 ], cost: 1+arg4P_6 30: f577_0_createTree_GT -> f577_0_createTree_GT : arg1'=-2*meter+arg1, arg3'=arg6P_9, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1>0 && arg3>0 && arg31 && arg6P_9=1 ], cost: 3*meter 9: f1116_0_dupTree_FieldAccess -> f1152_0_dupList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>-1 ], cost: 1 10: f1152_0_dupList_NONNULL -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 1+arg1P_11<=arg1 && arg1>0 && arg1P_11>-1 ], cost: 1 31: f1152_0_dupList_NONNULL -> f1152_0_dupList_NONNULL : arg1'=arg1-2*meter_2, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ arg1>3 && 2*meter_2==-3+arg1 && meter_2>=1 ], cost: 2*meter_2 32: f1152_0_dupList_NONNULL -> f1152_0_dupList_NONNULL : arg1'=0, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ arg1>0 ], cost: 2*arg1 21: __init -> f577_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2P_15>0 && arg1P_15>0 ], cost: 2 22: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>-1 ], cost: 2 23: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_5<=arg2P_3 && arg1P_5>0 ], cost: 3 Chained accelerated rules (with incoming rules): Start location: __init 26: f577_0_createTree_GT -> [10] : [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_6 27: f577_0_createTree_GT -> [10] : [ arg1>0 && arg3>0 && arg30 && arg6P_9>1 ], cost: 1+arg4P_6 9: f1116_0_dupTree_FieldAccess -> f1152_0_dupList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>-1 ], cost: 1 36: f1116_0_dupTree_FieldAccess -> f1152_0_dupList_NONNULL : arg1'=3, arg2'=arg2P_10, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ 4+2*meter_2<=arg1 && arg1>0 && 3+2*meter_2>3 && meter_2>=1 ], cost: 1+2*meter_2 37: f1116_0_dupTree_FieldAccess -> f1152_0_dupList_NONNULL : arg1'=0, arg2'=arg2P_10, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>0 ], cost: 1+2*arg1P_10 10: f1152_0_dupList_NONNULL -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 1+arg1P_11<=arg1 && arg1>0 && arg1P_11>-1 ], cost: 1 21: __init -> f577_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2P_15>0 && arg1P_15>0 ], cost: 2 22: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>-1 ], cost: 2 23: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_5<=arg2P_3 && arg1P_5>0 ], cost: 3 33: __init -> f577_0_createTree_GT : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=2, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1P_1>0 && 1 f577_0_createTree_GT : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=arg6P_9, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1P_1>0 && 11 ], cost: 5 35: __init -> f577_0_createTree_GT : arg1'=0, arg2'=arg2P_15, arg3'=arg6P_9, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ 2*meter>0 && 11 && arg6P_9=1 ], cost: 2+3*meter Eliminated locations (on tree-shaped paths): Start location: __init 45: f1116_0_dupTree_FieldAccess -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 1+arg1P_10<=arg1 && arg1>0 && 1+arg1P_11<=arg1P_10 && arg1P_10>0 && arg1P_11>-1 ], cost: 2 46: f1116_0_dupTree_FieldAccess -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 4+2*meter_2<=arg1 && arg1>0 && 3+2*meter_2>3 && meter_2>=1 && 1+arg1P_11<=3 && arg1P_11>-1 ], cost: 2+2*meter_2 47: f1116_0_dupTree_FieldAccess -> [14] : [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>0 ], cost: 1+2*arg1P_10 22: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>-1 ], cost: 2 23: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_5<=arg2P_3 && arg1P_5>0 ], cost: 3 38: __init -> [10] : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_15>0 && arg1P_1>0 && 10 ], cost: 3+arg4P_6 39: __init -> [10] : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_15>0 && arg1P_1>0 && 10 && arg6P_9>1 ], cost: 3+arg4P_6 40: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=2, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_1>0 && 20 ], cost: 5+arg4P_6 41: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=2, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_1>0 && 20 && arg6P_9>1 ], cost: 5+arg4P_6 42: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=arg6P_9, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ 11 && -2+arg1P_1>0 && arg6P_90 ], cost: 6+arg4P_6 43: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=arg6P_9, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ 11 && -2+arg1P_1>0 && arg6P_90 ], cost: 6+arg4P_6 44: __init -> [13] : [ 2*meter>0 && 11 && arg6P_9=1 ], cost: 2+3*meter Accelerating simple loops of location 2. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 45: f1116_0_dupTree_FieldAccess -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ arg1P_11>-1 && 1+arg1P_11<=-1+arg1 && 1<=-1+arg1 ], cost: 2 46: f1116_0_dupTree_FieldAccess -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 4+2*meter_2<=arg1 && arg1>0 && 3+2*meter_2>3 && meter_2>=1 && 1+arg1P_11<=3 && arg1P_11>-1 ], cost: 2+2*meter_2 During metering: Instantiating temporary variables by {arg1P_11==-2+arg1} Accelerated rule 45 with metering function meter_4 (where 2*meter_4==-1+arg1), yielding the new rule 48. Accelerated rule 46 with NONTERM (after strengthening guard), yielding the new rule 49. Removing the simple loops: 45. Accelerated all simple loops using metering functions (where possible): Start location: __init 46: f1116_0_dupTree_FieldAccess -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 4+2*meter_2<=arg1 && arg1>0 && 3+2*meter_2>3 && meter_2>=1 && 1+arg1P_11<=3 && arg1P_11>-1 ], cost: 2+2*meter_2 47: f1116_0_dupTree_FieldAccess -> [14] : [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>0 ], cost: 1+2*arg1P_10 48: f1116_0_dupTree_FieldAccess -> f1116_0_dupTree_FieldAccess : arg1'=arg1-2*meter_4, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ -2+arg1>-1 && 2*meter_4==-1+arg1 && meter_4>=1 ], cost: 2*meter_4 49: f1116_0_dupTree_FieldAccess -> [15] : [ 4+2*meter_2<=arg1 && arg1>0 && 3+2*meter_2>3 && meter_2>=1 && 1+arg1P_11<=3 && 4+2*meter_2<=arg1P_11 && arg1P_11>0 ], cost: NONTERM 22: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>-1 ], cost: 2 23: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_5<=arg2P_3 && arg1P_5>0 ], cost: 3 38: __init -> [10] : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_15>0 && arg1P_1>0 && 10 ], cost: 3+arg4P_6 39: __init -> [10] : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_15>0 && arg1P_1>0 && 10 && arg6P_9>1 ], cost: 3+arg4P_6 40: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=2, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_1>0 && 20 ], cost: 5+arg4P_6 41: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=2, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_1>0 && 20 && arg6P_9>1 ], cost: 5+arg4P_6 43: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=arg6P_9, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ 11 && -2+arg1P_1>0 && arg6P_90 ], cost: 6+arg4P_6 44: __init -> [13] : [ 2*meter>0 && 11 && arg6P_9=1 ], cost: 2+3*meter Chained accelerated rules (with incoming rules): Start location: __init 47: f1116_0_dupTree_FieldAccess -> [14] : [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>0 ], cost: 1+2*arg1P_10 22: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>-1 ], cost: 2 23: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_5<=arg2P_3 && arg1P_5>0 ], cost: 3 38: __init -> [10] : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_15>0 && arg1P_1>0 && 10 ], cost: 3+arg4P_6 39: __init -> [10] : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_15>0 && arg1P_1>0 && 10 && arg6P_9>1 ], cost: 3+arg4P_6 40: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=2, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_1>0 && 20 ], cost: 5+arg4P_6 41: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=2, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_1>0 && 20 && arg6P_9>1 ], cost: 5+arg4P_6 43: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=arg6P_9, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ 11 && -2+arg1P_1>0 && arg6P_90 ], cost: 6+arg4P_6 44: __init -> [13] : [ 2*meter>0 && 11 && arg6P_9=1 ], cost: 2+3*meter 50: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 3+2*meter_2>3 && meter_2>=1 && 1+arg1P_11<=3 && arg1P_11>-1 ], cost: 4+2*meter_2 51: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 3+2*meter_2>3 && meter_2>=1 && 1+arg1P_11<=3 && arg1P_11>-1 ], cost: 5+2*meter_2 52: __init -> f1116_0_dupTree_FieldAccess : arg1'=1, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ -1+2*meter_4>-1 && meter_4>=1 ], cost: 2+2*meter_4 53: __init -> f1116_0_dupTree_FieldAccess : arg1'=1, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ -1+2*meter_4>-1 && meter_4>=1 ], cost: 3+2*meter_4 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 47: f1116_0_dupTree_FieldAccess -> [14] : [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_10>0 ], cost: 1+2*arg1P_10 22: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && arg1P_2>-1 ], cost: 2 23: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_5<=arg2P_3 && arg1P_5>0 ], cost: 3 38: __init -> [10] : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_15>0 && arg1P_1>0 && 10 ], cost: 3+arg4P_6 39: __init -> [10] : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_15>0 && arg1P_1>0 && 10 && arg6P_9>1 ], cost: 3+arg4P_6 40: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=2, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_1>0 && 20 ], cost: 5+arg4P_6 41: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=2, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_1>0 && 20 && arg6P_9>1 ], cost: 5+arg4P_6 43: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=arg6P_9, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ 11 && -2+arg1P_1>0 && arg6P_90 ], cost: 6+arg4P_6 44: __init -> [13] : [ 2*meter>0 && 11 && arg6P_9=1 ], cost: 2+3*meter 50: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 3+2*meter_2>3 && meter_2>=1 && 1+arg1P_11<=3 && arg1P_11>-1 ], cost: 4+2*meter_2 51: __init -> f1116_0_dupTree_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 3+2*meter_2>3 && meter_2>=1 && 1+arg1P_11<=3 && arg1P_11>-1 ], cost: 5+2*meter_2 52: __init -> f1116_0_dupTree_FieldAccess : arg1'=1, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ -1+2*meter_4>-1 && meter_4>=1 ], cost: 2+2*meter_4 53: __init -> f1116_0_dupTree_FieldAccess : arg1'=1, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ -1+2*meter_4>-1 && meter_4>=1 ], cost: 3+2*meter_4 Eliminated locations (on tree-shaped paths): Start location: __init 38: __init -> [10] : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_15>0 && arg1P_1>0 && 10 ], cost: 3+arg4P_6 39: __init -> [10] : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_15>0 && arg1P_1>0 && 10 && arg6P_9>1 ], cost: 3+arg4P_6 40: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=2, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_1>0 && 20 ], cost: 5+arg4P_6 41: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=2, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_1>0 && 20 && arg6P_9>1 ], cost: 5+arg4P_6 43: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=arg6P_9, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ 11 && -2+arg1P_1>0 && arg6P_90 ], cost: 6+arg4P_6 44: __init -> [13] : [ 2*meter>0 && 11 && arg6P_9=1 ], cost: 2+3*meter 54: __init -> [14] : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && 1+arg1P_10<=arg1P_2 && arg1P_2>0 && arg1P_10>0 ], cost: 3+2*arg1P_10 55: __init -> [14] : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_5<=arg2P_3 && arg1P_5>0 && 1+arg1P_10<=arg1P_5 && arg1P_10>0 ], cost: 4+2*arg1P_10 56: __init -> [14] : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 3+2*meter_2>3 && meter_2>=1 && 1+arg1P_11<=3 && 1+arg1P_10<=arg1P_11 && arg1P_11>0 && arg1P_10>0 ], cost: 5+2*arg1P_10+2*meter_2 57: __init -> [14] : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 3+2*meter_2>3 && meter_2>=1 && 1+arg1P_11<=3 && 1+arg1P_10<=arg1P_11 && arg1P_11>0 && arg1P_10>0 ], cost: 6+2*arg1P_10+2*meter_2 58: __init -> [16] : [ -1+2*meter_4>-1 && meter_4>=1 ], cost: 2+2*meter_4 59: __init -> [16] : [ -1+2*meter_4>-1 && meter_4>=1 ], cost: 3+2*meter_4 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 38: __init -> [10] : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_15>0 && arg1P_1>0 && 10 ], cost: 3+arg4P_6 39: __init -> [10] : arg1'=arg1P_1, arg2'=arg2P_15, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_15>0 && arg1P_1>0 && 10 && arg6P_9>1 ], cost: 3+arg4P_6 40: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=2, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_1>0 && 20 ], cost: 5+arg4P_6 41: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=2, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_1>0 && 20 && arg6P_9>1 ], cost: 5+arg4P_6 43: __init -> [10] : arg1'=-2+arg1P_1, arg2'=arg2P_15, arg3'=arg6P_9, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ 11 && -2+arg1P_1>0 && arg6P_90 ], cost: 6+arg4P_6 44: __init -> [13] : [ 2*meter>0 && 11 && arg6P_9=1 ], cost: 2+3*meter 54: __init -> [14] : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ 1+arg1P_2<=arg1P_15 && arg2P_15>0 && arg1P_15>0 && 1+arg1P_10<=arg1P_2 && arg1P_2>0 && arg1P_10>0 ], cost: 3+2*arg1P_10 55: __init -> [14] : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2P_15>0 && arg1P_3<=arg1P_15 && arg1P_15>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_5<=arg2P_3 && arg1P_5>0 && 1+arg1P_10<=arg1P_5 && arg1P_10>0 ], cost: 4+2*arg1P_10 57: __init -> [14] : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ 3+2*meter_2>3 && meter_2>=1 && 1+arg1P_11<=3 && 1+arg1P_10<=arg1P_11 && arg1P_11>0 && arg1P_10>0 ], cost: 6+2*arg1P_10+2*meter_2 59: __init -> [16] : [ -1+2*meter_4>-1 && meter_4>=1 ], cost: 3+2*meter_4 Computing asymptotic complexity for rule 38 Solved the limit problem by the following transformations: Created initial limit problem: -1+arg2P_15 (+/+!), 3+arg4P_6 (+), arg1P_1 (+/+!), arg1P_15 (+/+!), arg4P_6 (+/+!) [not solved] removing all constraints (solved by SMT) resulting limit problem: [solved] applying transformation rule (C) using substitution {arg2P_15==n,arg1P_1==n,arg1P_15==n,arg4P_6==n} resulting limit problem: [solved] Solution: arg2P_15 / n arg1P_1 / n arg1P_15 / n arg4P_6 / n Resulting cost 3+n has complexity: Unbounded Found new complexity Unbounded. Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Unbounded Cpx degree: Unbounded Solved cost: 3+n Rule cost: 3+arg4P_6 Rule guard: [ arg1P_15>0 && arg1P_1>0 && 10 ] WORST_CASE(INF,?)