Analysing control-flow refined program

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₅₅: evalrealheapsortbb16in(X₀, X₁, X₂, X₃) → evalrealheapsortbb9in_v1(X₀, X₁, X₂, X₃) :|: 3+X₁+2⋅X₂ ≤ X₀ ∧ 2+X₁ ≤ X₀ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₅₆: evalrealheapsortbb16in(X₀, X₁, X₂, X₃) → evalrealheapsortbb17in(X₀, X₁, X₂, X₃) :|: X₀ ≤ 2+X₁+2⋅X₂ ∧ 2+X₁ ≤ X₀ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₅₇: evalrealheapsortbb9in_v1(X₀, X₁, X₂, X₃) → evalrealheapsortbb11in_v1(X₀, X₁, X₂, X₃) :|: X₀ ≤ 3+X₁+2⋅X₂ ∧ 3+X₁+2⋅X₂ ≤ X₀ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3+X₁ ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₅₈: evalrealheapsortbb9in_v1(X₀, X₁, X₂, X₃) → evalrealheapsortbb10in_v1(X₀, X₁, X₂, X₃) :|: 4+X₁+2⋅X₂ ≤ X₀ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3+X₁ ≤ X₀ ∧ 3+X₁+2⋅X₂ ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₅₉: evalrealheapsortbb10in_v1(X₀, X₁, X₂, X₃) → evalrealheapsortbb12in_v1(X₀, X₁, X₂, X₃) :|: 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4+X₁+2⋅X₂ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 4+X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₆₀: evalrealheapsortbb10in_v1(X₀, X₁, X₂, X₃) → evalrealheapsortbb11in_v2(X₀, X₁, X₂, X₃) :|: 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4+X₁+2⋅X₂ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 4+X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₆₁: evalrealheapsortbb11in_v2(X₀, X₁, X₂, X₃) → evalrealheapsortbb13in_v1(X₀, X₁, X₂, 1+2⋅X₂) :|: 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3+X₁ ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4+X₁+2⋅X₂ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 4+X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₆₂: evalrealheapsortbb13in_v1(X₀, X₁, X₂, X₃) → evalrealheapsortbb16in_v1(X₀, X₁, X₀, X₃) :|: X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+2⋅X₂ ∧ X₃ ≤ 1+X₂ ∧ X₂+X₃ ≤ 1 ∧ X₃ ≤ 1 ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1+2⋅X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3+X₁ ≤ X₀ ∧ 3+X₁+X₃ ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 3+X₃ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 4+X₂ ≤ X₀ ∧ 4 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₆₃: evalrealheapsortbb13in_v1(X₀, X₁, X₂, X₃) → evalrealheapsortbb14in_v1(X₀, X₁, X₂, X₃) :|: X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+2⋅X₂ ∧ X₃ ≤ 1+X₂ ∧ X₂+X₃ ≤ 1 ∧ X₃ ≤ 1 ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1+2⋅X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3+X₁ ≤ X₀ ∧ 3+X₁+X₃ ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 3+X₃ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 4+X₂ ≤ X₀ ∧ 4 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₆₄: evalrealheapsortbb14in_v1(X₀, X₁, X₂, X₃) → evalrealheapsortbb16in_v2(X₀, X₁, X₃, X₃) :|: X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+2⋅X₂ ∧ X₃ ≤ 1+X₂ ∧ X₂+X₃ ≤ 1 ∧ X₃ ≤ 1 ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1+2⋅X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3+X₁ ≤ X₀ ∧ 3+X₁+X₃ ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 3+X₃ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 4+X₂ ≤ X₀ ∧ 4 ≤ X₀+X₃ ∧ 5 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₈₅: evalrealheapsortbb12in_v1(X₀, X₁, X₂, X₃) → evalrealheapsortbb13in_v5(X₀, X₁, X₂, 2+2⋅X₂) :|: 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4+X₁+2⋅X₂ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 4+X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₈₆: evalrealheapsortbb13in_v5(X₀, X₁, X₂, X₃) → evalrealheapsortbb16in_v1(X₀, X₁, X₀, X₃) :|: X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+2⋅X₂ ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 2 ∧ X₃ ≤ 2 ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2+X₁+X₃ ≤ X₀ ∧ 2+X₃ ≤ X₀ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2+2⋅X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3+X₁ ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 4+X₂ ≤ X₀ ∧ 4 ≤ X₀+X₃ ∧ 6 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₈₇: evalrealheapsortbb13in_v5(X₀, X₁, X₂, X₃) → evalrealheapsortbb14in_v5(X₀, X₁, X₂, X₃) :|: X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+2⋅X₂ ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 2 ∧ X₃ ≤ 2 ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2+X₁+X₃ ≤ X₀ ∧ 2+X₃ ≤ X₀ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2+2⋅X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3+X₁ ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 4+X₂ ≤ X₀ ∧ 4 ≤ X₀+X₃ ∧ 6 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₈₈: evalrealheapsortbb14in_v5(X₀, X₁, X₂, X₃) → evalrealheapsortbb16in_v2(X₀, X₁, X₃, X₃) :|: X₃ ≤ 2+X₁ ∧ X₃ ≤ 2+2⋅X₂ ∧ X₃ ≤ 2+X₂ ∧ X₂+X₃ ≤ 2 ∧ X₃ ≤ 2 ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2+X₁+X₃ ≤ X₀ ∧ 2+X₃ ≤ X₀ ∧ 2 ≤ X₁+X₃ ∧ 2 ≤ X₂+X₃ ∧ 2+X₂ ≤ X₃ ∧ 2+2⋅X₂ ≤ X₃ ∧ 2 ≤ X₃ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3+X₁ ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 4 ≤ X₀ ∧ 4 ≤ X₀+X₁ ∧ 4+X₁ ≤ X₀ ∧ 4 ≤ X₀+X₂ ∧ 4+X₂ ≤ X₀ ∧ 4 ≤ X₀+X₃ ∧ 6 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₈₉: evalrealheapsortbb11in_v1(X₀, X₁, X₂, X₃) → evalrealheapsortbb13in_v6(X₀, X₁, X₂, 1+2⋅X₂) :|: X₀ ≤ 3+X₁ ∧ X₀ ≤ 3+X₁+2⋅X₂ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3+X₁ ≤ X₀ ∧ 3+X₁+2⋅X₂ ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 3+2⋅X₂ ≤ X₀ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₉₀: evalrealheapsortbb13in_v6(X₀, X₁, X₂, X₃) → evalrealheapsortbb16in_v1(X₀, X₁, X₀, X₃) :|: X₀ ≤ 3+X₁ ∧ X₀ ≤ 2+X₁+X₃ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+2⋅X₂ ∧ X₃ ≤ 1+X₂ ∧ X₂+X₃ ≤ 1 ∧ X₃ ≤ 1 ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1+2⋅X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2+X₁+X₃ ≤ X₀ ∧ 2+X₃ ≤ X₀ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3+X₁ ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 4 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₉₁: evalrealheapsortbb13in_v6(X₀, X₁, X₂, X₃) → evalrealheapsortbb14in_v6(X₀, X₁, X₂, X₃) :|: X₀ ≤ 3+X₁ ∧ X₀ ≤ 2+X₁+X₃ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+2⋅X₂ ∧ X₃ ≤ 1+X₂ ∧ X₂+X₃ ≤ 1 ∧ X₃ ≤ 1 ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1+2⋅X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2+X₁+X₃ ≤ X₀ ∧ 2+X₃ ≤ X₀ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3+X₁ ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 4 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

knowledge_propagation leads to new time bound X₀+1 {O(n)} for transition t₄₉₂: evalrealheapsortbb14in_v6(X₀, X₁, X₂, X₃) → evalrealheapsortbb16in_v3(X₀, X₁, X₃, X₃) :|: X₀ ≤ 3+X₁ ∧ X₀ ≤ 2+X₁+X₃ ∧ X₃ ≤ 1+X₁ ∧ X₃ ≤ 1+2⋅X₂ ∧ X₃ ≤ 1+X₂ ∧ X₂+X₃ ≤ 1 ∧ X₃ ≤ 1 ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂+X₃ ∧ 1+X₂ ≤ X₃ ∧ 1+2⋅X₂ ≤ X₃ ∧ 1 ≤ X₃ ∧ 2+X₁+X₃ ≤ X₀ ∧ 2+X₃ ≤ X₀ ∧ 3 ≤ X₀ ∧ 3 ≤ X₀+X₁ ∧ 3+X₁ ≤ X₀ ∧ 3 ≤ X₀+X₂ ∧ 3+X₂ ≤ X₀ ∧ 4 ≤ X₀+X₃ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₂ ∧ X₂ ≤ X₁ ∧ 0 ≤ X₂ ∧ X₂ ≤ 0

All Bounds

Timebounds

Overall timebound:16⋅X₀⋅X₀+40⋅X₀+38 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: X₀+1 {O(n)}
t₄: 1 {O(1)}
t₅: X₀+1 {O(n)}
t₆: 2⋅X₀⋅X₀+7⋅X₀+8 {O(n^2)}
t₈: 2⋅X₀⋅X₀+7⋅X₀+8 {O(n^2)}
t₁₁: X₀+1 {O(n)}
t₂₆: 2⋅X₀⋅X₀+6⋅X₀+6 {O(n^2)}
t₄₀: X₀+1 {O(n)}
t₄₁: 1 {O(1)}
t₄₂: X₀+1 {O(n)}
t₄₃: 1 {O(1)}
t₄₄: X₀+1 {O(n)}
t₄₅: X₀⋅X₀+X₀ {O(n^2)}
t₄₆: X₀+1 {O(n)}
t₄₇: X₀⋅X₀+X₀ {O(n^2)}
t₄₈: X₀⋅X₀+X₀ {O(n^2)}
t₅₀: X₀⋅X₀+X₀ {O(n^2)}
t₅₁: X₀⋅X₀+X₀ {O(n^2)}
t₅₂: X₀⋅X₀+X₀ {O(n^2)}
t₅₃: X₀⋅X₀+2⋅X₀+1 {O(n^2)}
t₅₄: X₀⋅X₀+2⋅X₀+1 {O(n^2)}
t₅₅: X₀⋅X₀+X₀ {O(n^2)}
t₅₆: X₀⋅X₀+X₀ {O(n^2)}
t₅₇: X₀ {O(n)}
t₅₈: 1 {O(1)}

Costbounds

Overall costbound: 16⋅X₀⋅X₀+40⋅X₀+38 {O(n^2)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: X₀+1 {O(n)}
t₄: 1 {O(1)}
t₅: X₀+1 {O(n)}
t₆: 2⋅X₀⋅X₀+7⋅X₀+8 {O(n^2)}
t₈: 2⋅X₀⋅X₀+7⋅X₀+8 {O(n^2)}
t₁₁: X₀+1 {O(n)}
t₂₆: 2⋅X₀⋅X₀+6⋅X₀+6 {O(n^2)}
t₄₀: X₀+1 {O(n)}
t₄₁: 1 {O(1)}
t₄₂: X₀+1 {O(n)}
t₄₃: 1 {O(1)}
t₄₄: X₀+1 {O(n)}
t₄₅: X₀⋅X₀+X₀ {O(n^2)}
t₄₆: X₀+1 {O(n)}
t₄₇: X₀⋅X₀+X₀ {O(n^2)}
t₄₈: X₀⋅X₀+X₀ {O(n^2)}
t₅₀: X₀⋅X₀+X₀ {O(n^2)}
t₅₁: X₀⋅X₀+X₀ {O(n^2)}
t₅₂: X₀⋅X₀+X₀ {O(n^2)}
t₅₃: X₀⋅X₀+2⋅X₀+1 {O(n^2)}
t₅₄: X₀⋅X₀+2⋅X₀+1 {O(n^2)}
t₅₅: X₀⋅X₀+X₀ {O(n^2)}
t₅₆: X₀⋅X₀+X₀ {O(n^2)}
t₅₇: X₀ {O(n)}
t₅₈: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: 1 {O(1)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₀+2 {O(n)}
t₃, X₂: X₀+3 {O(n)}
t₃, X₃: X₃ {O(n)}
t₄, X₀: X₀ {O(n)}
t₄, X₁: X₀+2 {O(n)}
t₄, X₂: X₀+3 {O(n)}
t₄, X₃: X₃ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₀+2 {O(n)}
t₅, X₂: 0 {O(1)}
t₅, X₃: X₃ {O(n)}
t₆, X₀: X₀ {O(n)}
t₆, X₁: X₀+2 {O(n)}
t₆, X₂: X₀+3 {O(n)}
t₆, X₃: X₃ {O(n)}
t₈, X₀: X₀ {O(n)}
t₈, X₁: X₀+2 {O(n)}
t₈, X₂: X₀+3 {O(n)}
t₈, X₃: X₃ {O(n)}
t₁₁, X₀: X₀ {O(n)}
t₁₁, X₁: X₀+2 {O(n)}
t₁₁, X₂: X₀+3 {O(n)}
t₁₁, X₃: X₃ {O(n)}
t₂₆, X₀: X₀ {O(n)}
t₂₆, X₁: X₀+2 {O(n)}
t₂₆, X₂: X₀+3 {O(n)}
t₂₆, X₃: X₃ {O(n)}
t₄₀, X₀: X₀ {O(n)}
t₄₀, X₁: X₀+2 {O(n)}
t₄₀, X₂: X₀+3 {O(n)}
t₄₀, X₃: X₃ {O(n)}
t₄₁, X₀: X₀ {O(n)}
t₄₁, X₁: 0 {O(1)}
t₄₁, X₂: X₀+3 {O(n)}
t₄₁, X₃: X₃ {O(n)}
t₄₂, X₀: X₀ {O(n)}
t₄₂, X₁: X₀ {O(n)}
t₄₂, X₂: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀+3⋅X₀+3 {O(EXP)}
t₄₂, X₃: 12⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8⋅X₀⋅X₀+X₃ {O(EXP)}
t₄₃, X₀: X₀ {O(n)}
t₄₃, X₁: X₀ {O(n)}
t₄₃, X₂: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀+2⋅X₀ {O(EXP)}
t₄₃, X₃: 12⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8⋅X₀⋅X₀+X₃ {O(EXP)}
t₄₄, X₀: X₀ {O(n)}
t₄₄, X₁: X₀ {O(n)}
t₄₄, X₂: 0 {O(1)}
t₄₄, X₃: 12⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8⋅X₀⋅X₀+X₃ {O(EXP)}
t₄₅, X₀: X₀ {O(n)}
t₄₅, X₁: X₀ {O(n)}
t₄₅, X₂: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀ {O(EXP)}
t₄₅, X₃: 16⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀⋅X₀+24⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8+X₃ {O(EXP)}
t₄₆, X₀: X₀ {O(n)}
t₄₆, X₁: X₀ {O(n)}
t₄₆, X₂: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀+2⋅X₀ {O(EXP)}
t₄₆, X₃: 12⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8⋅X₀⋅X₀+X₃ {O(EXP)}
t₄₇, X₀: X₀ {O(n)}
t₄₇, X₁: X₀ {O(n)}
t₄₇, X₂: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀ {O(EXP)}
t₄₇, X₃: 16⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀⋅X₀+24⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8+X₃ {O(EXP)}
t₄₈, X₀: X₀ {O(n)}
t₄₈, X₁: X₀ {O(n)}
t₄₈, X₂: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀ {O(EXP)}
t₄₈, X₃: 16⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀⋅X₀+24⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8+X₃ {O(EXP)}
t₅₀, X₀: X₀ {O(n)}
t₅₀, X₁: X₀ {O(n)}
t₅₀, X₂: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀ {O(EXP)}
t₅₀, X₃: 16⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀⋅X₀+24⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8+X₃ {O(EXP)}
t₅₁, X₀: X₀ {O(n)}
t₅₁, X₁: X₀ {O(n)}
t₅₁, X₂: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀ {O(EXP)}
t₅₁, X₃: 16⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀⋅X₀+24⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8+X₃ {O(EXP)}
t₅₂, X₀: X₀ {O(n)}
t₅₂, X₁: X₀ {O(n)}
t₅₂, X₂: 12⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8⋅X₀⋅X₀ {O(EXP)}
t₅₂, X₃: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀ {O(EXP)}
t₅₃, X₀: X₀ {O(n)}
t₅₃, X₁: X₀ {O(n)}
t₅₃, X₂: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀ {O(EXP)}
t₅₃, X₃: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀ {O(EXP)}
t₅₄, X₀: X₀ {O(n)}
t₅₄, X₁: X₀ {O(n)}
t₅₄, X₂: 12⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8⋅X₀⋅X₀ {O(EXP)}
t₅₄, X₃: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀ {O(EXP)}
t₅₅, X₀: X₀ {O(n)}
t₅₅, X₁: X₀ {O(n)}
t₅₅, X₂: 2⋅X₀ {O(n)}
t₅₅, X₃: 12⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8⋅X₀⋅X₀ {O(EXP)}
t₅₆, X₀: X₀ {O(n)}
t₅₆, X₁: X₀ {O(n)}
t₅₆, X₂: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀ {O(EXP)}
t₅₆, X₃: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀ {O(EXP)}
t₅₇, X₀: X₀ {O(n)}
t₅₇, X₁: X₀ {O(n)}
t₅₇, X₂: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀+2⋅X₀ {O(EXP)}
t₅₇, X₃: 12⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8⋅X₀⋅X₀+X₃ {O(EXP)}
t₅₈, X₀: 2⋅X₀ {O(n)}
t₅₈, X₁: X₀+X₁ {O(n)}
t₅₈, X₂: 2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀+2⋅X₀+X₂ {O(EXP)}
t₅₈, X₃: 12⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅X₀+2⋅2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅4⋅X₀⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅6⋅X₀+2^(2⋅X₀)⋅2^(X₀)⋅2^(X₀⋅X₀)⋅2^(X₀⋅X₀)⋅8⋅X₀⋅X₀+2⋅X₃ {O(EXP)}