KoAT2 Proof Output

Analysing control-flow refined program

MPRF for transition t₉₅: eval3_v4(X₀, X₁, X₂) → eval4_v4(X₀, X₁, X₂) :|: X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀ ∧ 1+2⋅X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 1 ≤ X₂ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 7 ≤ X₁+X₂ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

14⋅X₀+14⋅X₁+33 {O(n)}

MPRF:

• eval2_v1: [X₁-3]
• eval2_v10: [X₀+X₂-5]
• eval2_v11: [X₀+X₂-4]
• eval2_v2: [X₀+X₁-3]
• eval2_v3: [X₁-2]
• eval2_v4: [X₁+X₂-5-X₀]
• eval2_v5: [X₀+X₁-X₂]
• eval2_v7: [X₀+X₁-3]
• eval2_v8: [X₀+X₁-3]
• eval2_v9: [X₀+X₁-3]
• eval3_v3: [X₀+X₁-4]
• eval3_v4: [X₀+X₁-4]
• eval3_v5: [X₀+X₁-4]
• eval3_v6: [X₁-2]
• eval3_v7: [X₀+X₁-4]
• eval4_v10: [X₁-3]
• eval4_v11: [X₁-3]
• eval4_v4: [X₀+X₂-5]
• eval4_v5: [X₀+X₁-4]
• eval4_v6: [X₀+X₁-4]
• eval4_v7: [X₀+X₁-4]
• eval4_v8: [X₀+X₁-4]

MPRF for transition t₉₆: eval3_v4(X₀, X₁, X₂) → eval4_v5(X₀, X₁, 1+X₂) :|: 1+X₂ ≤ X₁ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1+2⋅X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 1 ≤ X₂ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 7 ≤ X₁+X₂ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

10⋅X₀+14⋅X₁+44 {O(n)}

MPRF:

• eval2_v1: [X₀+X₁-4]
• eval2_v10: [X₀+X₂-5]
• eval2_v11: [X₀+X₂-4]
• eval2_v2: [X₀+X₁-4]
• eval2_v3: [X₀+X₁-4]
• eval2_v4: [X₀+X₁-4]
• eval2_v5: [X₁+X₂-6⋅X₀]
• eval2_v7: [X₀+X₁-4]
• eval2_v8: [X₀+X₁-5]
• eval2_v9: [X₀+X₁-5]
• eval3_v3: [X₀+X₁-5]
• eval3_v4: [X₀+X₁-5]
• eval3_v5: [X₀+X₁-5]
• eval3_v6: [X₁-3]
• eval3_v7: [X₁-2-X₂]
• eval4_v10: [X₁-4]
• eval4_v11: [X₁-4]
• eval4_v4: [X₀+X₁-5]
• eval4_v5: [X₀+X₁-6]
• eval4_v6: [X₀+X₁-5]
• eval4_v7: [X₀+X₁-5]
• eval4_v8: [X₀+X₁-5]

MPRF for transition t₉₇: eval3_v4(X₀, X₁, X₂) → eval4_v6(X₀, X₁, X₂) :|: 1+X₂ ≤ X₁ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1+2⋅X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 1 ≤ X₂ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 7 ≤ X₁+X₂ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

14⋅X₁+18⋅X₀+26 {O(n)}

MPRF:

• eval2_v1: [X₀+X₁-3]
• eval2_v10: [X₀+X₂-3]
• eval2_v11: [X₀+X₁-2]
• eval2_v2: [X₀+X₁-3]
• eval2_v3: [X₁-X₂]
• eval2_v4: [X₀+X₁-2]
• eval2_v5: [1+X₁-X₂]
• eval2_v7: [X₀+X₁-2]
• eval2_v8: [X₀+X₁-2]
• eval2_v9: [X₀+X₁-2]
• eval3_v3: [X₀+X₁-3]
• eval3_v4: [X₀+X₁-3]
• eval3_v5: [3⋅X₀+X₁-3-X₂]
• eval3_v6: [X₁-2]
• eval3_v7: [X₁+X₂-4]
• eval4_v10: [X₁-3]
• eval4_v11: [X₁-2]
• eval4_v4: [X₀+X₂-3]
• eval4_v5: [X₀+X₁-3]
• eval4_v6: [X₀+X₁-4]
• eval4_v7: [3⋅X₀+X₁-2-X₂]
• eval4_v8: [3⋅X₀+X₁-3-X₂]

MPRF for transition t₁₀₁: eval4_v6(X₀, X₁, X₂) → eval2_v1(X₀, X₁-1, X₂) :|: X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₁ ∧ 1+2⋅X₀ ≤ X₂ ∧ 1+X₂ ≤ X₁ ∧ 2+X₀ ≤ X₂ ∧ 3+X₀ ≤ X₁ ∧ 4 ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 5 ≤ X₁ ∧ 6 ≤ X₀+X₁ ∧ 9 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

14⋅X₁+41 {O(n)}

MPRF:

• eval2_v1: [X₁-4]
• eval2_v10: [X₂-4⋅X₀]
• eval2_v11: [X₂-4]
• eval2_v2: [X₁-4]
• eval2_v3: [X₁+X₂-6⋅X₀]
• eval2_v4: [X₁-4]
• eval2_v5: [1+X₁-5⋅X₀]
• eval2_v7: [X₁-4]
• eval2_v8: [X₁-3]
• eval2_v9: [X₁-4]
• eval3_v3: [X₁-4]
• eval3_v4: [X₁-4]
• eval3_v5: [X₁-4]
• eval3_v6: [1+X₁-5⋅X₀]
• eval3_v7: [X₁-4⋅X₀]
• eval4_v10: [X₁-5]
• eval4_v11: [1+X₁-5⋅X₀]
• eval4_v4: [X₂-4]
• eval4_v5: [X₁-4]
• eval4_v6: [X₁-4]
• eval4_v7: [X₁-4]
• eval4_v8: [X₁-4]

MPRF for transition t₁₀₂: eval4_v6(X₀, X₁, X₂) → eval2_v2(X₀-1, X₁, X₂) :|: 1 ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁ ∧ 1+2⋅X₀ ≤ X₂ ∧ 1+X₂ ≤ X₁ ∧ 2+X₀ ≤ X₂ ∧ 3+X₀ ≤ X₁ ∧ 4 ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 5 ≤ X₁ ∧ 6 ≤ X₀+X₁ ∧ 9 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

34⋅X₀+5 {O(n)}

MPRF:

• eval2_v1: [X₀-1]
• eval2_v10: [X₀-1]
• eval2_v11: [X₀]
• eval2_v2: [X₀-1]
• eval2_v3: [0]
• eval2_v4: [2+3⋅X₀-X₂]
• eval2_v5: [0]
• eval2_v7: [X₀]
• eval2_v8: [X₀-1]
• eval2_v9: [X₀]
• eval3_v3: [X₀-1]
• eval3_v4: [X₀-1]
• eval3_v5: [5⋅X₀-1-2⋅X₂]
• eval3_v6: [0]
• eval3_v7: [X₀-1]
• eval4_v10: [0]
• eval4_v11: [0]
• eval4_v4: [X₀-1]
• eval4_v5: [X₀-1]
• eval4_v6: [X₀-1]
• eval4_v7: [1+5⋅X₀-2⋅X₂]
• eval4_v8: [5⋅X₀-1-2⋅X₂]

MPRF for transition t₁₀₃: eval2_v2(X₀, X₁, X₂) → eval3_v5(X₀, X₁, 2⋅X₀) :|: 2 ≤ X₁ ∧ 1 ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 3+2⋅X₀ ≤ X₂ ∧ 4+X₀ ≤ X₂ ∧ 5+X₀ ≤ X₁ ∧ 5 ≤ X₂ ∧ 6 ≤ X₀+X₂ ∧ 6 ≤ X₁ ∧ 7 ≤ X₀+X₁ ∧ 11 ≤ X₁+X₂ of depth 1:

new bound:

22⋅X₀+13 {O(n)}

MPRF:

• eval2_v1: [0]
• eval2_v10: [X₀-1]
• eval2_v11: [X₀]
• eval2_v2: [X₀]
• eval2_v3: [2-X₂]
• eval2_v4: [X₂-2-X₀]
• eval2_v5: [0]
• eval2_v7: [X₂-3-X₀]
• eval2_v8: [X₀-1]
• eval2_v9: [X₀]
• eval3_v3: [X₀-1]
• eval3_v4: [X₀-1]
• eval3_v5: [X₂-1-X₀]
• eval3_v6: [0]
• eval3_v7: [0]
• eval4_v10: [0]
• eval4_v11: [0]
• eval4_v4: [X₀-1]
• eval4_v5: [X₀-1]
• eval4_v6: [X₀-1]
• eval4_v7: [X₀-1]
• eval4_v8: [X₀-1]

MPRF for transition t₁₀₄: eval3_v5(X₀, X₁, X₂) → eval4_v7(X₀, X₁, 1+X₂) :|: 1+X₂ ≤ X₁ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 1 ≤ X₂ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3+X₀ ≤ X₁ ∧ 4 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 6 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

10⋅X₀+5 {O(n)}

MPRF:

• eval2_v1: [0]
• eval2_v10: [X₀-1]
• eval2_v11: [X₀]
• eval2_v2: [X₀]
• eval2_v3: [0]
• eval2_v4: [1+X₀]
• eval2_v5: [X₀-1]
• eval2_v7: [X₀]
• eval2_v8: [X₀-1]
• eval2_v9: [X₀]
• eval3_v3: [X₀-1]
• eval3_v4: [X₀-1]
• eval3_v5: [X₀]
• eval3_v6: [0]
• eval3_v7: [0]
• eval4_v10: [0]
• eval4_v11: [X₂-1-X₀]
• eval4_v4: [X₀-1]
• eval4_v5: [X₀-1]
• eval4_v6: [X₀-1]
• eval4_v7: [X₀-1]
• eval4_v8: [X₀]

MPRF for transition t₁₀₅: eval3_v5(X₀, X₁, X₂) → eval4_v8(X₀, X₁, X₂) :|: 1+X₂ ≤ X₁ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 1 ≤ X₂ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3+X₀ ≤ X₁ ∧ 4 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 6 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

10⋅X₀+7 {O(n)}

MPRF:

• eval2_v1: [X₀]
• eval2_v10: [X₀]
• eval2_v11: [1+X₀]
• eval2_v2: [1+X₀]
• eval2_v3: [X₀]
• eval2_v4: [1+X₀]
• eval2_v5: [2⋅X₀-1]
• eval2_v7: [1+X₀]
• eval2_v8: [X₀]
• eval2_v9: [1+X₀]
• eval3_v3: [X₀]
• eval3_v4: [X₀]
• eval3_v5: [1+X₀]
• eval3_v6: [X₂-1]
• eval3_v7: [X₀]
• eval4_v10: [1]
• eval4_v11: [X₂-1]
• eval4_v4: [X₀]
• eval4_v5: [X₀]
• eval4_v6: [X₀]
• eval4_v7: [X₀]
• eval4_v8: [X₀]

MPRF for transition t₁₀₆: eval3_v5(X₀, X₁, X₂) → eval3_v3(X₀, X₁, 2+2⋅X₂) :|: 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3+X₀ ≤ X₁ ∧ 4 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 6 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

10⋅X₀+6 {O(n)}

MPRF:

• eval2_v1: [0]
• eval2_v10: [0]
• eval2_v11: [X₀]
• eval2_v2: [X₀]
• eval2_v3: [0]
• eval2_v4: [1+X₀]
• eval2_v5: [1-X₀]
• eval2_v7: [1+X₀]
• eval2_v8: [2⋅X₀-2]
• eval2_v9: [X₀]
• eval3_v3: [X₀-1]
• eval3_v4: [X₀-1]
• eval3_v5: [X₀]
• eval3_v6: [X₀-1]
• eval3_v7: [X₂-2]
• eval4_v10: [0]
• eval4_v11: [X₀-1]
• eval4_v4: [X₀-1]
• eval4_v5: [X₀-1]
• eval4_v6: [X₀-1]
• eval4_v7: [X₀]
• eval4_v8: [X₂-X₀]

MPRF for transition t₁₀₇: eval3_v5(X₀, X₁, X₂) → eval3_v4(X₀, X₁, 2⋅X₂) :|: 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3+X₀ ≤ X₁ ∧ 4 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 6 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

10⋅X₀+6 {O(n)}

MPRF:

• eval2_v1: [X₀-1]
• eval2_v10: [X₀-1]
• eval2_v11: [X₀]
• eval2_v2: [X₀]
• eval2_v3: [X₀-1]
• eval2_v4: [X₀]
• eval2_v5: [X₀-1]
• eval2_v7: [X₀]
• eval2_v8: [X₀-1]
• eval2_v9: [X₀]
• eval3_v3: [X₀-1]
• eval3_v4: [X₀-1]
• eval3_v5: [X₀]
• eval3_v6: [X₀-1]
• eval3_v7: [X₂-2]
• eval4_v10: [X₀-1]
• eval4_v11: [X₀-1]
• eval4_v4: [X₀-1]
• eval4_v5: [X₀-1]
• eval4_v6: [X₀-1]
• eval4_v7: [X₀]
• eval4_v8: [X₀]

MPRF for transition t₁₀₈: eval4_v8(X₀, X₁, X₂) → eval2_v3(X₀, X₁-1, X₂) :|: X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1+2⋅X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3+X₀ ≤ X₁ ∧ 4 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 6 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

10⋅X₀+10 {O(n)}

MPRF:

• eval2_v1: [0]
• eval2_v10: [X₀-1]
• eval2_v11: [X₀]
• eval2_v2: [X₀]
• eval2_v3: [0]
• eval2_v4: [1+X₀]
• eval2_v5: [2+X₀-X₂]
• eval2_v7: [1+X₀]
• eval2_v8: [X₀-1]
• eval2_v9: [X₀]
• eval3_v3: [X₀-1]
• eval3_v4: [X₀-1]
• eval3_v5: [X₀]
• eval3_v6: [0]
• eval3_v7: [X₂-2]
• eval4_v10: [0]
• eval4_v11: [0]
• eval4_v4: [X₀-1]
• eval4_v5: [X₀-1]
• eval4_v6: [X₀-1]
• eval4_v7: [X₀]
• eval4_v8: [X₀]

MPRF for transition t₁₀₉: eval4_v8(X₀, X₁, X₂) → eval2_v4(X₀-1, X₁, X₂) :|: 1 ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1+2⋅X₀ ≤ X₁ ∧ 1+X₂ ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3+X₀ ≤ X₁ ∧ 4 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 6 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

10⋅X₀+3 {O(n)}

MPRF:

• eval2_v1: [X₀]
• eval2_v10: [X₀]
• eval2_v11: [X₀]
• eval2_v2: [X₀]
• eval2_v3: [X₀]
• eval2_v4: [X₀]
• eval2_v5: [X₀]
• eval2_v7: [1+X₀]
• eval2_v8: [X₀]
• eval2_v9: [X₀]
• eval3_v3: [X₀]
• eval3_v4: [X₀]
• eval3_v5: [X₀]
• eval3_v6: [X₀]
• eval3_v7: [X₀]
• eval4_v10: [X₀]
• eval4_v11: [X₀]
• eval4_v4: [X₀]
• eval4_v5: [X₀]
• eval4_v6: [X₀]
• eval4_v7: [X₀]
• eval4_v8: [X₀]

MPRF for transition t₁₁₀: eval2_v4(X₀, X₁, X₂) → eval3_v5(X₀, X₁, 2⋅X₀) :|: 2 ≤ X₁ ∧ X₂ ≤ 2+2⋅X₀ ∧ 1 ≤ X₀ ∧ 1+X₂ ≤ X₁ ∧ 2+2⋅X₀ ≤ X₂ ∧ 3+X₀ ≤ X₂ ∧ 3+2⋅X₀ ≤ X₁ ∧ 4+X₀ ≤ X₁ ∧ 4 ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 5 ≤ X₁ ∧ 6 ≤ X₀+X₁ ∧ 9 ≤ X₁+X₂ of depth 1:

new bound:

14⋅X₀+11 {O(n)}

MPRF:

• eval2_v1: [-1]
• eval2_v10: [X₀-2]
• eval2_v11: [X₀-1]
• eval2_v2: [X₀-1]
• eval2_v3: [X₀-2]
• eval2_v4: [X₀]
• eval2_v5: [X₀-2]
• eval2_v7: [X₀]
• eval2_v8: [X₀-2]
• eval2_v9: [X₀-1]
• eval3_v3: [X₀-2]
• eval3_v4: [X₀-2]
• eval3_v5: [X₂-1-X₀]
• eval3_v6: [X₀-2]
• eval3_v7: [-1]
• eval4_v10: [X₀-2]
• eval4_v11: [X₀-2]
• eval4_v4: [X₀-2]
• eval4_v5: [X₀-2]
• eval4_v6: [X₀-2]
• eval4_v7: [X₀-1]
• eval4_v8: [X₀-1]

MPRF for transition t₁₁₁: eval2_v3(X₀, X₁, X₂) → eval3_v6(X₀, X₁, 2⋅X₀) :|: 2 ≤ X₁ ∧ X₀+X₂ ≤ 3 ∧ X₂ ≤ 2 ∧ X₂ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

14⋅X₁+19 {O(n)}

MPRF:

• eval2_v1: [X₁-1]
• eval2_v10: [X₂-2]
• eval2_v11: [X₁-2]
• eval2_v2: [X₁-2]
• eval2_v3: [X₁-1]
• eval2_v4: [X₁-2]
• eval2_v5: [X₁-1]
• eval2_v7: [X₁-2]
• eval2_v8: [X₁-1]
• eval2_v9: [X₁-2]
• eval3_v3: [X₁-2]
• eval3_v4: [X₁-2]
• eval3_v5: [X₁-2]
• eval3_v6: [X₁-2]
• eval3_v7: [X₁-1]
• eval4_v10: [X₁-2]
• eval4_v11: [X₁-2⋅X₀]
• eval4_v4: [X₂-2]
• eval4_v5: [X₁-2]
• eval4_v6: [X₁-2]
• eval4_v7: [X₁-2]
• eval4_v8: [X₁-2]

MPRF for transition t₁₁₃: eval3_v6(X₀, X₁, X₂) → eval4_v10(X₀, X₁, 1+X₂) :|: 1+X₂ ≤ X₁ ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 3 ∧ X₂ ≤ 3 ∧ X₂ ≤ 2 ∧ X₂ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 1 ≤ X₂ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

14⋅X₁+19 {O(n)}

MPRF:

• eval2_v1: [1+X₁]
• eval2_v10: [X₀+X₁]
• eval2_v11: [1+X₂]
• eval2_v2: [1+X₁]
• eval2_v3: [2+X₁]
• eval2_v4: [1+X₁]
• eval2_v5: [X₁+X₂-2⋅X₀]
• eval2_v7: [1+X₁]
• eval2_v8: [1+X₁]
• eval2_v9: [1+X₁]
• eval3_v3: [1+X₁]
• eval3_v4: [1+X₁]
• eval3_v5: [1+X₁]
• eval3_v6: [1+X₁]
• eval3_v7: [1+X₁]
• eval4_v10: [X₁]
• eval4_v11: [X₁+X₂-1]
• eval4_v4: [1+X₂]
• eval4_v5: [1+X₁]
• eval4_v6: [1+X₁]
• eval4_v7: [1+X₁]
• eval4_v8: [1+X₁]

MPRF for transition t₁₁₄: eval3_v6(X₀, X₁, X₂) → eval4_v11(X₀, X₁, X₂) :|: 1+X₂ ≤ X₁ ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 3 ∧ X₂ ≤ 3 ∧ X₂ ≤ 2 ∧ X₂ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 1 ≤ X₂ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

14⋅X₁+18 {O(n)}

MPRF:

• eval2_v1: [1+X₁]
• eval2_v10: [X₂]
• eval2_v11: [1+X₂]
• eval2_v2: [1+X₁]
• eval2_v3: [1+2⋅X₀+X₁-X₂]
• eval2_v4: [1+X₁]
• eval2_v5: [X₀+X₁]
• eval2_v7: [1+X₁]
• eval2_v8: [1+X₁]
• eval2_v9: [1+X₁]
• eval3_v3: [1+X₁]
• eval3_v4: [1+X₁]
• eval3_v5: [1+X₁]
• eval3_v6: [1+X₁]
• eval3_v7: [1+X₁]
• eval4_v10: [1+X₁]
• eval4_v11: [X₁]
• eval4_v4: [1+X₂]
• eval4_v5: [1+X₁]
• eval4_v6: [1+X₁]
• eval4_v7: [1+X₁]
• eval4_v8: [1+X₁]

MPRF for transition t₁₁₆: eval3_v6(X₀, X₁, X₂) → eval3_v3(X₀, X₁, 2+2⋅X₂) :|: 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 3 ∧ X₂ ≤ 3 ∧ X₂ ≤ 2 ∧ X₂ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

14⋅X₁+9 {O(n)}

MPRF:

• eval2_v1: [1+X₁]
• eval2_v10: [X₂]
• eval2_v11: [X₂]
• eval2_v2: [X₁]
• eval2_v3: [1+X₁]
• eval2_v4: [X₁]
• eval2_v5: [1+X₁]
• eval2_v7: [X₁]
• eval2_v8: [1+X₁]
• eval2_v9: [X₁]
• eval3_v3: [X₁]
• eval3_v4: [X₁]
• eval3_v5: [X₁]
• eval3_v6: [1+X₁]
• eval3_v7: [X₀+X₁]
• eval4_v10: [X₀+X₁]
• eval4_v11: [X₀+X₁-1]
• eval4_v4: [X₂]
• eval4_v5: [X₁]
• eval4_v6: [X₁]
• eval4_v7: [X₁]
• eval4_v8: [X₁]

MPRF for transition t₁₁₇: eval3_v6(X₀, X₁, X₂) → eval3_v4(X₀, X₁, 2⋅X₂) :|: 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 3 ∧ X₂ ≤ 3 ∧ X₂ ≤ 2 ∧ X₂ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 1+X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 4 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

84⋅X₁+72 {O(n)}

MPRF:

• eval2_v1: [6⋅X₁]
• eval2_v10: [6⋅X₂-6]
• eval2_v11: [6⋅X₁-6]
• eval2_v2: [6⋅X₁-6]
• eval2_v3: [6⋅X₁]
• eval2_v4: [6⋅X₁-6]
• eval2_v5: [6⋅X₁]
• eval2_v7: [6⋅X₁-6]
• eval2_v8: [6⋅X₁]
• eval2_v9: [6⋅X₁-6]
• eval3_v3: [6⋅X₁-6]
• eval3_v4: [6⋅X₁-6]
• eval3_v5: [6⋅X₁-6]
• eval3_v6: [6⋅X₁-5]
• eval3_v7: [6⋅X₁]
• eval4_v10: [6⋅X₁-5]
• eval4_v11: [6⋅X₁-5]
• eval4_v4: [6⋅X₂-6]
• eval4_v5: [6⋅X₁-6]
• eval4_v6: [6⋅X₁-6]
• eval4_v7: [6⋅X₁-6]
• eval4_v8: [6⋅X₁-6]

MPRF for transition t₁₁₈: eval4_v11(X₀, X₁, X₂) → eval2_v3(X₀, X₁-1, X₂) :|: X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₁ ∧ X₀+X₂ ≤ 3 ∧ X₂ ≤ 2 ∧ X₂ ≤ 1+X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₂ ≤ X₁ ∧ 2+X₀ ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

14⋅X₁+8⋅X₀+19 {O(n)}

MPRF:

• eval2_v1: [X₁-1]
• eval2_v10: [X₁-1]
• eval2_v11: [X₂-2]
• eval2_v2: [X₁-2]
• eval2_v3: [X₁-1]
• eval2_v4: [2⋅X₀+X₁-X₂]
• eval2_v5: [1+X₁-2⋅X₀]
• eval2_v7: [X₁-2]
• eval2_v8: [X₁-1]
• eval2_v9: [X₁-2]
• eval3_v3: [X₁-2]
• eval3_v4: [X₁-2]
• eval3_v5: [X₁-2]
• eval3_v6: [1+X₁-X₂]
• eval3_v7: [1+X₁-2⋅X₀]
• eval4_v10: [X₁-2⋅X₀]
• eval4_v11: [X₁-1]
• eval4_v4: [X₁-2]
• eval4_v5: [X₁-2]
• eval4_v6: [X₁-2]
• eval4_v7: [X₁-2]
• eval4_v8: [X₁-2]

MPRF for transition t₁₁₉: eval4_v10(X₀, X₁, X₂) → eval2_v5(X₀, X₁-1, X₂) :|: X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₁ ∧ X₀+X₂ ≤ 4 ∧ X₂ ≤ 3 ∧ X₂ ≤ 2+X₀ ∧ 2+X₀ ≤ X₁ ∧ 2+X₀ ≤ X₂ ∧ 3 ≤ X₁ ∧ 3 ≤ X₂ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₀+X₂ ∧ 6 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

14⋅X₁+16 {O(n)}

MPRF:

• eval2_v1: [2+X₁]
• eval2_v10: [2+X₁]
• eval2_v11: [1+X₁]
• eval2_v2: [1+X₁]
• eval2_v3: [2⋅X₀+X₁]
• eval2_v4: [1+X₁]
• eval2_v5: [2+X₁]
• eval2_v7: [1+X₁]
• eval2_v8: [2+X₁]
• eval2_v9: [1+X₁]
• eval3_v3: [1+X₁]
• eval3_v4: [1+X₁]
• eval3_v5: [1+X₁]
• eval3_v6: [1+X₀+X₁]
• eval3_v7: [X₁+X₂]
• eval4_v10: [2+X₁]
• eval4_v11: [X₀+X₁]
• eval4_v4: [1+X₂]
• eval4_v5: [1+X₁]
• eval4_v6: [1+X₁]
• eval4_v7: [1+X₁]
• eval4_v8: [1+X₁]

MPRF for transition t₁₂₀: eval2_v5(X₀, X₁, X₂) → eval3_v6(X₀, X₁, 2⋅X₀) :|: 2 ≤ X₁ ∧ X₀+X₂ ≤ 4 ∧ X₂ ≤ 3 ∧ X₂ ≤ 2+X₀ ∧ X₀ ≤ 1 ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₁ ∧ 2+X₀ ≤ X₂ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 5 ≤ X₁+X₂ of depth 1:

new bound:

14⋅X₁+19 {O(n)}

MPRF:

• eval2_v1: [X₁-1]
• eval2_v10: [X₂-2]
• eval2_v11: [X₁-2]
• eval2_v2: [X₁-2]
• eval2_v3: [X₁-1]
• eval2_v4: [X₁-2]
• eval2_v5: [X₁-1]
• eval2_v7: [X₁-2]
• eval2_v8: [X₁-1]
• eval2_v9: [X₁-2]
• eval3_v3: [X₁-2]
• eval3_v4: [X₁-2]
• eval3_v5: [X₁-2]
• eval3_v6: [X₁-2]
• eval3_v7: [X₁-1]
• eval4_v10: [X₁-2⋅X₀]
• eval4_v11: [X₁-X₂]
• eval4_v4: [X₂-2]
• eval4_v5: [X₁-2]
• eval4_v6: [X₁-2]
• eval4_v7: [X₁-2]
• eval4_v8: [X₁-2]

MPRF for transition t₁₂₂: eval4_v7(X₀, X₁, X₂) → eval2_v5(X₀, X₁-1, X₂) :|: X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₁ ∧ X₂ ≤ 1+2⋅X₀ ∧ 1+2⋅X₀ ≤ X₁ ∧ 1+2⋅X₀ ≤ X₂ ∧ 2+X₀ ≤ X₂ ∧ 3+X₀ ≤ X₁ ∧ 3 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 7 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

14⋅X₀+11 {O(n)}

MPRF:

• eval2_v1: [2]
• eval2_v10: [1+X₀]
• eval2_v11: [2+X₀]
• eval2_v2: [2+X₀]
• eval2_v3: [2]
• eval2_v4: [1+X₂-X₀]
• eval2_v5: [2]
• eval2_v7: [2+X₀]
• eval2_v8: [1+X₀]
• eval2_v9: [2+X₀]
• eval3_v3: [1+X₀]
• eval3_v4: [1+X₀]
• eval3_v5: [2+X₀]
• eval3_v6: [2]
• eval3_v7: [2]
• eval4_v10: [2]
• eval4_v11: [2]
• eval4_v4: [1+X₀]
• eval4_v5: [1+X₀]
• eval4_v6: [1+X₀]
• eval4_v7: [2+X₀]
• eval4_v8: [2+X₀]

MPRF for transition t₁₂₃: eval4_v7(X₀, X₁, X₂) → eval2_v7(X₀-1, X₁, X₂) :|: 1 ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁ ∧ X₂ ≤ 1+2⋅X₀ ∧ 1+2⋅X₀ ≤ X₁ ∧ 1+2⋅X₀ ≤ X₂ ∧ 2+X₀ ≤ X₂ ∧ 3+X₀ ≤ X₁ ∧ 3 ≤ X₂ ∧ 4 ≤ X₀+X₂ ∧ 4 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 7 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

10⋅X₀+10 {O(n)}

MPRF:

• eval2_v1: [X₀]
• eval2_v10: [X₀]
• eval2_v11: [1+X₀]
• eval2_v2: [1+X₀]
• eval2_v3: [1]
• eval2_v4: [2+X₀]
• eval2_v5: [X₂-2⋅X₀]
• eval2_v7: [1+X₀]
• eval2_v8: [X₀]
• eval2_v9: [1+X₀]
• eval3_v3: [X₀]
• eval3_v4: [X₀]
• eval3_v5: [1+X₀]
• eval3_v6: [1]
• eval3_v7: [X₀]
• eval4_v10: [1]
• eval4_v11: [X₀]
• eval4_v4: [X₀]
• eval4_v5: [X₀]
• eval4_v6: [X₀]
• eval4_v7: [1+X₀]
• eval4_v8: [1+X₀]

MPRF for transition t₁₂₄: eval2_v7(X₀, X₁, X₂) → eval3_v5(X₀, X₁, 2⋅X₀) :|: 2 ≤ X₁ ∧ X₂ ≤ 3+2⋅X₀ ∧ 1 ≤ X₀ ∧ 3+2⋅X₀ ≤ X₁ ∧ 3+2⋅X₀ ≤ X₂ ∧ 4+X₀ ≤ X₁ ∧ 4+X₀ ≤ X₂ ∧ 5 ≤ X₁ ∧ 5 ≤ X₂ ∧ 6 ≤ X₀+X₁ ∧ 6 ≤ X₀+X₂ ∧ 10 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

20⋅X₀+9 {O(n)}

MPRF:

• eval2_v1: [2⋅X₀-2]
• eval2_v10: [2⋅X₀-2]
• eval2_v11: [2⋅X₀]
• eval2_v2: [2⋅X₀]
• eval2_v3: [0]
• eval2_v4: [X₂-2]
• eval2_v5: [0]
• eval2_v7: [2⋅X₀-1]
• eval2_v8: [2⋅X₀-2]
• eval2_v9: [2⋅X₀]
• eval3_v3: [2⋅X₀-2]
• eval3_v4: [2⋅X₀-2]
• eval3_v5: [X₂-2]
• eval3_v6: [0]
• eval3_v7: [X₂-2]
• eval4_v10: [0]
• eval4_v11: [0]
• eval4_v4: [2⋅X₀-2]
• eval4_v5: [2⋅X₀-2]
• eval4_v6: [2⋅X₀-2]
• eval4_v7: [2⋅X₀-2]
• eval4_v8: [2⋅X₀-2]

MPRF for transition t₁₂₅: eval2_v1(X₀, X₁, X₂) → eval3_v7(X₀, X₁, 2⋅X₀) :|: 2 ≤ X₁ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 3+X₀ ≤ X₁ ∧ 3+X₀ ≤ X₂ ∧ 4 ≤ X₁ ∧ 4 ≤ X₂ ∧ 5 ≤ X₀+X₁ ∧ 5 ≤ X₀+X₂ ∧ 8 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

42⋅X₁+56⋅X₀+95 {O(n)}

MPRF:

• eval2_v1: [3⋅X₁-11]
• eval2_v10: [3⋅X₂-12]
• eval2_v11: [3⋅X₁-12]
• eval2_v2: [3⋅X₁-12]
• eval2_v3: [3⋅X₁-12]
• eval2_v4: [2+14⋅X₀+3⋅X₁-7⋅X₂]
• eval2_v5: [3⋅X₁-4⋅X₂]
• eval2_v7: [3⋅X₁-12]
• eval2_v8: [3⋅X₁-9]
• eval2_v9: [3⋅X₁-12]
• eval3_v3: [3⋅X₁-12]
• eval3_v4: [3⋅X₁-12]
• eval3_v5: [3⋅X₁-12]
• eval3_v6: [3⋅X₁-12]
• eval3_v7: [3⋅X₁-12]
• eval4_v10: [3⋅X₁-15]
• eval4_v11: [X₀+3⋅X₁-10-3⋅X₂]
• eval4_v4: [3⋅X₂-12]
• eval4_v5: [3⋅X₁-12]
• eval4_v6: [3⋅X₁-12]
• eval4_v7: [3⋅X₁-12]
• eval4_v8: [3⋅X₁-12]

MPRF for transition t₁₂₆: eval3_v7(X₀, X₁, X₂) → eval4_v10(X₀, X₁, 1+X₂) :|: 1+X₂ ≤ X₁ ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 3 ∧ X₂ ≤ 3 ∧ X₂ ≤ 2 ∧ X₂ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 1 ≤ X₂ ∧ 2+X₀ ≤ X₁ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

14⋅X₁+27 {O(n)}

MPRF:

• eval2_v1: [X₁-2]
• eval2_v10: [X₂-3]
• eval2_v11: [X₁-3]
• eval2_v2: [X₁-3]
• eval2_v3: [X₁-3]
• eval2_v4: [X₁-3]
• eval2_v5: [X₁-2⋅X₀]
• eval2_v7: [X₁-3]
• eval2_v8: [X₁-2]
• eval2_v9: [X₁-3]
• eval3_v3: [X₁-3]
• eval3_v4: [X₁-3]
• eval3_v5: [X₁-3]
• eval3_v6: [X₁-3]
• eval3_v7: [2+X₁-2⋅X₂]
• eval4_v10: [X₁-3]
• eval4_v11: [X₁-4]
• eval4_v4: [X₂-3]
• eval4_v5: [X₁-3]
• eval4_v6: [X₁-3]
• eval4_v7: [X₁-3]
• eval4_v8: [X₁-3]

MPRF for transition t₁₂₇: eval3_v7(X₀, X₁, X₂) → eval4_v11(X₀, X₁, X₂) :|: 1+X₂ ≤ X₁ ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 3 ∧ X₂ ≤ 3 ∧ X₂ ≤ 2 ∧ X₂ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 1 ≤ X₂ ∧ 2+X₀ ≤ X₁ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

42⋅X₁+60 {O(n)}

MPRF:

• eval2_v1: [3⋅X₁-6]
• eval2_v10: [3⋅X₁-3]
• eval2_v11: [3⋅X₂-6]
• eval2_v2: [3⋅X₁-6]
• eval2_v3: [3⋅X₁-6]
• eval2_v4: [3⋅X₁-6]
• eval2_v5: [3⋅X₁-X₂]
• eval2_v7: [3⋅X₁-6]
• eval2_v8: [3⋅X₁-3]
• eval2_v9: [3⋅X₁-6]
• eval3_v3: [3⋅X₁-6]
• eval3_v4: [3⋅X₁-6]
• eval3_v5: [3⋅X₁-6]
• eval3_v6: [3⋅X₁-6]
• eval3_v7: [3⋅X₁-6]
• eval4_v10: [3⋅X₁-6⋅X₀]
• eval4_v11: [3⋅X₁-9]
• eval4_v4: [3⋅X₁-6]
• eval4_v5: [3⋅X₁-6]
• eval4_v6: [3⋅X₁-6]
• eval4_v7: [3⋅X₁-6]
• eval4_v8: [3⋅X₁-6]

MPRF for transition t₁₂₈: eval3_v7(X₀, X₁, X₂) → eval3_v3(X₀, X₁, 2+2⋅X₂) :|: 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 3 ∧ X₂ ≤ 3 ∧ X₂ ≤ 2 ∧ X₂ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 2+X₀ ≤ X₁ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

14⋅X₁+28 {O(n)}

MPRF:

• eval2_v1: [X₀+X₁-3]
• eval2_v10: [X₂-3⋅X₀]
• eval2_v11: [X₁-3]
• eval2_v2: [X₁-3]
• eval2_v3: [X₁-3]
• eval2_v4: [X₁-3]
• eval2_v5: [X₁-3⋅X₀]
• eval2_v7: [X₁-3]
• eval2_v8: [X₁-2]
• eval2_v9: [X₁-3]
• eval3_v3: [X₁-3]
• eval3_v4: [X₁-3]
• eval3_v5: [X₁-3]
• eval3_v6: [X₁-3]
• eval3_v7: [X₁-2]
• eval4_v10: [X₁-4]
• eval4_v11: [X₁-4⋅X₀]
• eval4_v4: [X₂-3]
• eval4_v5: [X₁-3]
• eval4_v6: [X₁-3]
• eval4_v7: [X₁-3]
• eval4_v8: [X₁-3]

MPRF for transition t₁₂₉: eval3_v7(X₀, X₁, X₂) → eval3_v4(X₀, X₁, 2⋅X₂) :|: 1+X₂ ≤ X₁ ∧ 1 ≤ X₂ ∧ X₂ ≤ X₁ ∧ X₀+X₂ ≤ 3 ∧ X₂ ≤ 3 ∧ X₂ ≤ 2 ∧ X₂ ≤ 1+X₀ ∧ X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 1+X₀ ≤ X₂ ∧ 1+X₂ ≤ 2⋅X₁ ∧ 2+X₀ ≤ X₁ ∧ 2+X₂ ≤ 2⋅X₁ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 5 ≤ X₁+X₂ ∧ X₂ ≤ 2⋅X₀ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

84⋅X₁+107 {O(n)}

MPRF:

• eval2_v1: [6⋅X₁-5]
• eval2_v10: [6⋅X₂-11]
• eval2_v11: [6⋅X₂-11]
• eval2_v2: [6⋅X₁-11]
• eval2_v3: [6⋅X₁-5]
• eval2_v4: [6⋅X₁-11]
• eval2_v5: [6⋅X₁-5]
• eval2_v7: [6⋅X₁-11]
• eval2_v8: [6⋅X₁-5⋅X₀]
• eval2_v9: [6⋅X₁-11]
• eval3_v3: [6⋅X₁-11]
• eval3_v4: [6⋅X₁-11]
• eval3_v5: [6⋅X₁-11]
• eval3_v6: [6⋅X₁-5]
• eval3_v7: [6⋅X₁-5]
• eval4_v10: [6⋅X₁-5]
• eval4_v11: [6⋅X₁-5]
• eval4_v4: [6⋅X₁-11]
• eval4_v5: [6⋅X₁-11]
• eval4_v6: [6⋅X₁-11]
• eval4_v7: [6⋅X₁-11]
• eval4_v8: [6⋅X₁-11]

MPRF for transition t₁₃₀: eval4_v5(X₀, X₁, X₂) → eval2_v8(X₀, X₁-1, X₂) :|: X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₁ ∧ 2+2⋅X₀ ≤ X₂ ∧ 3+X₀ ≤ X₁ ∧ 3+X₀ ≤ X₂ ∧ 5 ≤ X₁ ∧ 5 ≤ X₂ ∧ 6 ≤ X₀+X₁ ∧ 6 ≤ X₀+X₂ ∧ 10 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

14⋅X₁+33 {O(n)}

MPRF:

• eval2_v1: [X₁-4]
• eval2_v10: [X₁-3]
• eval2_v11: [X₂-4]
• eval2_v2: [X₁-4]
• eval2_v3: [X₁-3]
• eval2_v4: [X₁-4]
• eval2_v5: [X₁-3]
• eval2_v7: [X₁-4]
• eval2_v8: [X₁-4]
• eval2_v9: [X₁-4]
• eval3_v3: [X₁-4]
• eval3_v4: [X₁-4]
• eval3_v5: [X₁-4]
• eval3_v6: [X₁-3]
• eval3_v7: [X₁+X₂-4-2⋅X₀]
• eval4_v10: [2⋅X₀+X₁-6]
• eval4_v11: [X₁-4]
• eval4_v4: [X₁-4]
• eval4_v5: [X₁-4]
• eval4_v6: [X₁-4]
• eval4_v7: [X₁-4]
• eval4_v8: [X₁-4]

MPRF for transition t₁₃₁: eval4_v5(X₀, X₁, X₂) → eval2_v9(X₀-1, X₁, X₂) :|: 1 ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁ ∧ 2+2⋅X₀ ≤ X₂ ∧ 3+X₀ ≤ X₁ ∧ 3+X₀ ≤ X₂ ∧ 5 ≤ X₁ ∧ 5 ≤ X₂ ∧ 6 ≤ X₀+X₁ ∧ 6 ≤ X₀+X₂ ∧ 10 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

10⋅X₀+7 {O(n)}

MPRF:

• eval2_v1: [X₀-1]
• eval2_v10: [X₀-1]
• eval2_v11: [X₀]
• eval2_v2: [X₀]
• eval2_v3: [X₀-1]
• eval2_v4: [X₀]
• eval2_v5: [X₀-1]
• eval2_v7: [X₀]
• eval2_v8: [X₀-1]
• eval2_v9: [X₀-1]
• eval3_v3: [X₀-1]
• eval3_v4: [X₀-1]
• eval3_v5: [X₀-1]
• eval3_v6: [2-X₂]
• eval3_v7: [3⋅X₀-1-X₂]
• eval4_v10: [3-X₂]
• eval4_v11: [0]
• eval4_v4: [X₀-1]
• eval4_v5: [X₀-1]
• eval4_v6: [X₀-1]
• eval4_v7: [X₀-1]
• eval4_v8: [X₀-1]

MPRF for transition t₁₃₂: eval2_v9(X₀, X₁, X₂) → eval3_v5(X₀, X₁, 2⋅X₀) :|: 2 ≤ X₁ ∧ 1 ≤ X₀ ∧ 4+2⋅X₀ ≤ X₂ ∧ 5+X₀ ≤ X₁ ∧ 5+X₀ ≤ X₂ ∧ 6 ≤ X₁ ∧ 6 ≤ X₂ ∧ 7 ≤ X₀+X₁ ∧ 7 ≤ X₀+X₂ ∧ 12 ≤ X₁+X₂ ∧ X₂ ≤ X₁ of depth 1:

new bound:

20⋅X₀+12 {O(n)}

MPRF:

• eval2_v1: [0]
• eval2_v10: [2⋅X₀-2]
• eval2_v11: [2⋅X₀]
• eval2_v2: [2⋅X₀]
• eval2_v3: [0]
• eval2_v4: [X₂-2]
• eval2_v5: [0]
• eval2_v7: [X₂-3]
• eval2_v8: [2⋅X₀-2]
• eval2_v9: [2⋅X₀-1]
• eval3_v3: [2⋅X₀-2]
• eval3_v4: [2⋅X₀-2]
• eval3_v5: [X₂-2]
• eval3_v6: [0]
• eval3_v7: [0]
• eval4_v10: [0]
• eval4_v11: [0]
• eval4_v4: [2⋅X₀-2]
• eval4_v5: [2⋅X₀-2]
• eval4_v6: [2⋅X₀-2]
• eval4_v7: [2⋅X₀-2]
• eval4_v8: [X₂-2]

MPRF for transition t₁₃₃: eval2_v8(X₀, X₁, X₂) → eval3_v7(X₀, X₁, 2⋅X₀) :|: 2 ≤ X₁ ∧ X₀ ≤ 1 ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 3+X₀ ≤ X₁ ∧ 4+X₀ ≤ X₂ ∧ 4 ≤ X₁ ∧ 5 ≤ X₀+X₁ ∧ 5 ≤ X₂ ∧ 6 ≤ X₀+X₂ ∧ 9 ≤ X₁+X₂ of depth 1:

new bound:

14⋅X₁+33 {O(n)}

MPRF:

• eval2_v1: [X₁-3]
• eval2_v10: [X₁-3]
• eval2_v11: [X₂-4]
• eval2_v2: [X₁-4]
• eval2_v3: [X₁-3]
• eval2_v4: [X₁-4]
• eval2_v5: [X₁-3⋅X₀]
• eval2_v7: [X₁-4]
• eval2_v8: [X₁-3]
• eval2_v9: [X₁-4]
• eval3_v3: [X₁-4]
• eval3_v4: [X₁-4]
• eval3_v5: [X₁-4]
• eval3_v6: [X₁-3]
• eval3_v7: [X₁-4]
• eval4_v10: [X₁-4]
• eval4_v11: [X₁-2⋅X₂]
• eval4_v4: [X₂-4]
• eval4_v5: [X₁-4]
• eval4_v6: [X₁-4]
• eval4_v7: [X₁-4]
• eval4_v8: [X₁-4]

MPRF for transition t₁₃₄: eval4_v4(X₀, X₁, X₂) → eval2_v10(X₀, X₁-1, X₂) :|: X₀ ≤ 1 ∧ 1 ≤ X₀ ∧ 2 ≤ X₁ ∧ 1+2⋅X₀ ≤ X₂ ∧ 2+X₀ ≤ X₁ ∧ 2+X₀ ≤ X₂ ∧ 4 ≤ X₁ ∧ 4 ≤ X₂ ∧ 5 ≤ X₀+X₁ ∧ 5 ≤ X₀+X₂ ∧ 8 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ of depth 1:

new bound:

14⋅X₁+14 {O(n)}

MPRF:

• eval2_v1: [2+X₁]
• eval2_v10: [X₂]
• eval2_v11: [1+X₂]
• eval2_v2: [1+X₁]
• eval2_v3: [1+X₁]
• eval2_v4: [1+X₁]
• eval2_v5: [X₀+X₁]
• eval2_v7: [1+X₁]
• eval2_v8: [1+X₁]
• eval2_v9: [1+X₁]
• eval3_v3: [1+X₁]
• eval3_v4: [1+X₁]
• eval3_v5: [1+X₁]
• eval3_v6: [1+X₁]
• eval3_v7: [1+X₁]
• eval4_v10: [X₁]
• eval4_v11: [X₀+X₁]
• eval4_v4: [1+X₂]
• eval4_v5: [1+X₁]
• eval4_v6: [1+X₁]
• eval4_v7: [1+X₁]
• eval4_v8: [1+X₁]

MPRF for transition t₁₃₅: eval4_v4(X₀, X₁, X₂) → eval2_v11(X₀-1, X₁, X₂) :|: 1 ≤ X₀ ∧ 2 ≤ X₀ ∧ 2 ≤ X₁ ∧ 1+2⋅X₀ ≤ X₂ ∧ 2+X₀ ≤ X₁ ∧ 2+X₀ ≤ X₂ ∧ 4 ≤ X₁ ∧ 4 ≤ X₂ ∧ 5 ≤ X₀+X₁ ∧ 5 ≤ X₀+X₂ ∧ 8 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ of depth 1:

new bound:

22⋅X₀+10 {O(n)}

MPRF:

• eval2_v1: [1]
• eval2_v10: [X₀]
• eval2_v11: [X₀]
• eval2_v2: [X₀]
• eval2_v3: [X₀]
• eval2_v4: [1+X₀]
• eval2_v5: [X₀]
• eval2_v7: [2⋅X₂-5-3⋅X₀]
• eval2_v8: [1]
• eval2_v9: [1+X₀]
• eval3_v3: [X₀]
• eval3_v4: [X₀]
• eval3_v5: [X₀]
• eval3_v6: [X₀]
• eval3_v7: [X₀]
• eval4_v10: [1]
• eval4_v11: [2⋅X₀-1]
• eval4_v4: [X₀]
• eval4_v5: [X₀]
• eval4_v6: [X₀]
• eval4_v7: [X₀]
• eval4_v8: [X₀]

MPRF for transition t₁₃₆: eval2_v11(X₀, X₁, X₂) → eval3_v5(X₀, X₁, 2⋅X₀) :|: 2 ≤ X₁ ∧ 1 ≤ X₀ ∧ 3+2⋅X₀ ≤ X₁ ∧ 4+X₀ ≤ X₁ ∧ 4+X₀ ≤ X₂ ∧ 5 ≤ X₁ ∧ 5 ≤ X₂ ∧ 6 ≤ X₀+X₁ ∧ 6 ≤ X₀+X₂ ∧ 10 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ X₁ ≤ X₂ of depth 1:

new bound:

20⋅X₀+14 {O(n)}

MPRF:

• eval2_v1: [0]
• eval2_v10: [2⋅X₀-2]
• eval2_v11: [2⋅X₀-1]
• eval2_v2: [2⋅X₀]
• eval2_v3: [2⋅X₀-2]
• eval2_v4: [2⋅X₀]
• eval2_v5: [0]
• eval2_v7: [X₂-3]
• eval2_v8: [0]
• eval2_v9: [2⋅X₀]
• eval3_v3: [2⋅X₀-2]
• eval3_v4: [2⋅X₀-2]
• eval3_v5: [X₂-2]
• eval3_v6: [0]
• eval3_v7: [2⋅X₀-2]
• eval4_v10: [0]
• eval4_v11: [0]
• eval4_v4: [2⋅X₀-2]
• eval4_v5: [2⋅X₀-2]
• eval4_v6: [2⋅X₀-2]
• eval4_v7: [X₂-3]
• eval4_v8: [2⋅X₀-2]

MPRF for transition t₁₃₇: eval2_v10(X₀, X₁, X₂) → eval3_v7(X₀, X₁, 2⋅X₀) :|: 2 ≤ X₁ ∧ X₀ ≤ 1 ∧ X₂ ≤ 1+X₁ ∧ 1 ≤ X₀ ∧ 1+X₁ ≤ X₂ ∧ 2+X₀ ≤ X₁ ∧ 3+X₀ ≤ X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₂ ∧ 5 ≤ X₀+X₂ ∧ 7 ≤ X₁+X₂ of depth 1:

new bound:

14⋅X₁+26 {O(n)}

MPRF:

• eval2_v1: [X₁-2]
• eval2_v10: [X₂-3]
• eval2_v11: [X₂-3]
• eval2_v2: [X₁-3]
• eval2_v3: [X₁-2]
• eval2_v4: [X₁-3]
• eval2_v5: [X₁-2]
• eval2_v7: [X₁-3]
• eval2_v8: [X₁-2]
• eval2_v9: [X₁-3]
• eval3_v3: [X₁-3]
• eval3_v4: [X₁-3]
• eval3_v5: [X₁-3]
• eval3_v6: [X₁-2]
• eval3_v7: [X₁-3]
• eval4_v10: [X₁-3]
• eval4_v11: [X₁-3]
• eval4_v4: [X₂-3]
• eval4_v5: [X₁-3]
• eval4_v6: [X₁-3]
• eval4_v7: [X₁-3]
• eval4_v8: [X₁-3]

MPRF for transition t₁₃₈: eval3_v3(X₀, X₁, X₂) → eval4_v4(X₀, X₁, X₂) :|: X₂ ≤ X₁ ∧ X₁ ≤ X₂ ∧ 1 ≤ X₀ ∧ 1+2⋅X₀ ≤ X₂ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₂ ∧ 6 ≤ X₂ ∧ 7 ≤ X₀+X₂ ∧ 9 ≤ X₁+X₂ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

14⋅X₁+34⋅X₀+47 {O(n)}

MPRF:

• eval2_v1: [X₁-4]
• eval2_v10: [X₀+X₁-6]
• eval2_v11: [X₀+X₁-6]
• eval2_v2: [X₀+X₁-6]
• eval2_v3: [X₁-5]
• eval2_v4: [5⋅X₀+X₁-1-2⋅X₂]
• eval2_v5: [3+X₁-2⋅X₀-2⋅X₂]
• eval2_v7: [X₀+X₁-5]
• eval2_v8: [X₀+X₁-5]
• eval2_v9: [X₀+X₁-5]
• eval3_v3: [X₀+X₁-6]
• eval3_v4: [X₀+X₁-6]
• eval3_v5: [3⋅X₀+X₁-6-X₂]
• eval3_v6: [X₁-5]
• eval3_v7: [X₁-5⋅X₀]
• eval4_v10: [X₁-5]
• eval4_v11: [X₀+X₁-6]
• eval4_v4: [X₀+X₁-7]
• eval4_v5: [X₀+X₁-6]
• eval4_v6: [X₀+X₁-6]
• eval4_v7: [X₀+X₁-6]
• eval4_v8: [X₀+X₁-6]

MPRF for transition t₁₃₉: eval3_v3(X₀, X₁, X₂) → eval4_v5(X₀, X₁, 1+X₂) :|: 1+X₂ ≤ X₁ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1+2⋅X₀ ≤ X₂ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₂ ∧ 6 ≤ X₂ ∧ 7 ≤ X₀+X₂ ∧ 9 ≤ X₁+X₂ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

14⋅X₁+34⋅X₀+48 {O(n)}

MPRF:

• eval2_v1: [X₁-4]
• eval2_v10: [X₀+X₂-6]
• eval2_v11: [X₀+X₁-5]
• eval2_v2: [X₀+X₁-6]
• eval2_v3: [X₁-5]
• eval2_v4: [X₁+X₂-8-X₀]
• eval2_v5: [1+X₁-2⋅X₂]
• eval2_v7: [1+5⋅X₀+X₁-2⋅X₂]
• eval2_v8: [X₀+X₁-6]
• eval2_v9: [X₀+X₁-6]
• eval3_v3: [X₀+X₁-6]
• eval3_v4: [X₀+X₁-6]
• eval3_v5: [X₁+X₂-6-X₀]
• eval3_v6: [X₁-5]
• eval3_v7: [X₁-5]
• eval4_v10: [X₁-6]
• eval4_v11: [X₁-5]
• eval4_v4: [X₀+X₁-6]
• eval4_v5: [X₀+X₁-7]
• eval4_v6: [X₀+X₁-6]
• eval4_v7: [5⋅X₀+X₁-4-2⋅X₂]
• eval4_v8: [X₁+X₂-6-X₀]

MPRF for transition t₁₄₀: eval3_v3(X₀, X₁, X₂) → eval4_v6(X₀, X₁, X₂) :|: 1+X₂ ≤ X₁ ∧ X₂ ≤ X₁ ∧ 1 ≤ X₀ ∧ 1+2⋅X₀ ≤ X₂ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₂ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₂ ∧ 6 ≤ X₂ ∧ 7 ≤ X₀+X₂ ∧ 9 ≤ X₁+X₂ ∧ 2⋅X₀ ≤ X₂ ∧ X₂ ≤ 2⋅X₁ of depth 1:

new bound:

10⋅X₀+14⋅X₁+56 {O(n)}

MPRF:

• eval2_v1: [X₀+X₁-7]
• eval2_v10: [X₀+X₁-6]
• eval2_v11: [X₀+X₁-6]
• eval2_v2: [X₀+X₁-7]
• eval2_v3: [X₁-5]
• eval2_v4: [X₀+X₁-6]
• eval2_v5: [X₁+X₂-8⋅X₀]
• eval2_v7: [X₀+X₁-6]
• eval2_v8: [X₀+X₁-6]
• eval2_v9: [X₀+X₁-6]
• eval3_v3: [X₀+X₁-7]
• eval3_v4: [X₀+X₁-7]
• eval3_v5: [X₀+X₁-7]
• eval3_v6: [X₁-5]
• eval3_v7: [X₁+X₂-7-X₀]
• eval4_v10: [X₀+X₁-7]
• eval4_v11: [X₁-6]
• eval4_v4: [X₀+X₁-7]
• eval4_v5: [X₀+X₁-7]
• eval4_v6: [X₀+X₁-8]
• eval4_v7: [X₀+X₁-7]
• eval4_v8: [X₁+X₂-7-X₀]

All Bounds

Timebounds

Overall timebound:12⋅X₁⋅X₁+24⋅X₀⋅X₀+24⋅X₀⋅X₁+52⋅X₀+58⋅X₁+64 {O(n^2)}
t₂₇: 1 {O(1)}
t₂₈: 1 {O(1)}
t₂₉: 2⋅X₀+2⋅X₁+5 {O(n)}
t₃₀: 4⋅X₀⋅X₁+4⋅X₁⋅X₁+8⋅X₀⋅X₀+12⋅X₀+16⋅X₁+15 {O(n^2)}
t₃₁: 4⋅X₀⋅X₁+4⋅X₁⋅X₁+8⋅X₀⋅X₀+12⋅X₀+16⋅X₁+15 {O(n^2)}
t₃₂: 4⋅X₀⋅X₁+4⋅X₁⋅X₁+8⋅X₀⋅X₀+12⋅X₀+16⋅X₁+15 {O(n^2)}
t₃₃: 4⋅X₀⋅X₁+2⋅X₁+4⋅X₀+3 {O(n^2)}
t₃₄: 4⋅X₀⋅X₁+2⋅X₁+4⋅X₀+3 {O(n^2)}
t₃₅: 4⋅X₀⋅X₁+2⋅X₁+4⋅X₀+3 {O(n^2)}
t₃₆: 2⋅X₀ {O(n)}
t₃₇: 2⋅X₁+3 {O(n)}

Costbounds

Overall costbound: 12⋅X₁⋅X₁+24⋅X₀⋅X₀+24⋅X₀⋅X₁+52⋅X₀+58⋅X₁+64 {O(n^2)}
t₂₇: 1 {O(1)}
t₂₈: 1 {O(1)}
t₂₉: 2⋅X₀+2⋅X₁+5 {O(n)}
t₃₀: 4⋅X₀⋅X₁+4⋅X₁⋅X₁+8⋅X₀⋅X₀+12⋅X₀+16⋅X₁+15 {O(n^2)}
t₃₁: 4⋅X₀⋅X₁+4⋅X₁⋅X₁+8⋅X₀⋅X₀+12⋅X₀+16⋅X₁+15 {O(n^2)}
t₃₂: 4⋅X₀⋅X₁+4⋅X₁⋅X₁+8⋅X₀⋅X₀+12⋅X₀+16⋅X₁+15 {O(n^2)}
t₃₃: 4⋅X₀⋅X₁+2⋅X₁+4⋅X₀+3 {O(n^2)}
t₃₄: 4⋅X₀⋅X₁+2⋅X₁+4⋅X₀+3 {O(n^2)}
t₃₅: 4⋅X₀⋅X₁+2⋅X₁+4⋅X₀+3 {O(n^2)}
t₃₆: 2⋅X₀ {O(n)}
t₃₇: 2⋅X₁+3 {O(n)}

Sizebounds

t₂₇, X₀: X₀ {O(n)}
t₂₇, X₁: X₁ {O(n)}
t₂₇, X₂: X₂ {O(n)}
t₂₈, X₀: X₀ {O(n)}
t₂₈, X₁: X₁+1 {O(n)}
t₂₈, X₂: X₂ {O(n)}
t₂₉, X₀: 2⋅X₀+1 {O(n)}
t₂₉, X₁: 2⋅X₁+1 {O(n)}
t₂₉, X₂: 8⋅X₀+4 {O(n)}
t₃₀, X₀: 2⋅X₀+1 {O(n)}
t₃₀, X₁: 2⋅X₁+1 {O(n)}
t₃₀, X₂: 17179869184⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₁+20401094656⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)+21474836480⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₀+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅4294967296⋅X₀⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅4294967296⋅X₁⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅8589934592⋅X₀⋅X₀ {O(EXP)}
t₃₁, X₀: 2⋅X₀+1 {O(n)}
t₃₁, X₁: 2⋅X₁+1 {O(n)}
t₃₁, X₂: 17179869184⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₁+20401094656⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)+21474836480⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₀+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅4294967296⋅X₀⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅4294967296⋅X₁⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅8589934592⋅X₀⋅X₀ {O(EXP)}
t₃₂, X₀: 6⋅X₀+3 {O(n)}
t₃₂, X₁: 6⋅X₁+3 {O(n)}
t₃₂, X₂: 17179869184⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₀⋅X₁+17179869184⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₁⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅34359738368⋅X₀⋅X₀+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅68719476736⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅81604378624+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅85899345920⋅X₀+16⋅X₀+8 {O(EXP)}
t₃₃, X₀: 2⋅X₀+1 {O(n)}
t₃₃, X₁: 2⋅X₁+1 {O(n)}
t₃₃, X₂: 17179869184⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₀⋅X₀+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅34359738368⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅40802189312+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅42949672960⋅X₀+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅8589934592⋅X₀⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅8589934592⋅X₁⋅X₁+8⋅X₀+4 {O(EXP)}
t₃₄, X₀: 2⋅X₀+1 {O(n)}
t₃₄, X₁: 2⋅X₁+1 {O(n)}
t₃₄, X₂: 17179869184⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₀⋅X₀+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅34359738368⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅40802189312+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅42949672960⋅X₀+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅8589934592⋅X₀⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅8589934592⋅X₁⋅X₁+8⋅X₀+7 {O(EXP)}
t₃₅, X₀: 2⋅X₀+1 {O(n)}
t₃₅, X₁: 2⋅X₁+1 {O(n)}
t₃₅, X₂: 17179869184⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₀⋅X₀+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅34359738368⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅40802189312+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅42949672960⋅X₀+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅8589934592⋅X₀⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅8589934592⋅X₁⋅X₁+8⋅X₀+4 {O(EXP)}
t₃₆, X₀: 2⋅X₀+1 {O(n)}
t₃₆, X₁: 2⋅X₁+1 {O(n)}
t₃₆, X₂: 17179869184⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₀⋅X₀+17179869184⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₀⋅X₁+17179869184⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₁⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅34359738368⋅X₀⋅X₀+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅34359738368⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅40802189312+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅42949672960⋅X₀+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅68719476736⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅81604378624+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅8589934592⋅X₀⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅8589934592⋅X₁⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅85899345920⋅X₀+24⋅X₀+15 {O(EXP)}
t₃₇, X₀: 1 {O(1)}
t₃₇, X₁: 2⋅X₁+1 {O(n)}
t₃₇, X₂: 17179869184⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₀⋅X₀+17179869184⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₀⋅X₁+17179869184⋅2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅X₁⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅34359738368⋅X₀⋅X₀+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅34359738368⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅40802189312+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅42949672960⋅X₀+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅68719476736⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅81604378624+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅8589934592⋅X₀⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅8589934592⋅X₁⋅X₁+2^(12⋅X₀)⋅2^(12⋅X₀)⋅2^(16⋅X₁)⋅2^(16⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₀⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(4⋅X₁⋅X₁)⋅2^(8⋅X₀⋅X₀)⋅2^(8⋅X₀⋅X₀)⋅85899345920⋅X₀+24⋅X₀+15 {O(EXP)}