Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀, X₁, X₂) → l1(X₀, X₁, X₂)
t₁: l1(X₀, X₁, X₂) → l1(X₀+8⋅X₀*(X₁)²+16⋅(X₁)²*X₂+16⋅(X₁)³, X₁-4⋅X₀*X₁-4⋅X₀*X₂-(X₀)²-8⋅X₁*X₂-4⋅(X₁)²-4⋅(X₂)², 4⋅X₀*X₁+4⋅X₀*X₂+(X₀)²+8⋅X₁*X₂+4⋅(X₁)²+X₂+4⋅(X₂)²-4⋅X₀*(X₁)²-8⋅(X₁)²*X₂-8⋅(X₁)³) :|: 1 ≤ X₀+X₁+4⋅(X₁)²+X₂

Preprocessing

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀, X₁, X₂) → l1(X₀, X₁, X₂)
t₁: l1(X₀, X₁, X₂) → l1(X₀+8⋅X₀*(X₁)²+16⋅(X₁)²*X₂+16⋅(X₁)³, X₁-4⋅X₀*X₁-4⋅X₀*X₂-(X₀)²-8⋅X₁*X₂-4⋅(X₁)²-4⋅(X₂)², 4⋅X₀*X₁+4⋅X₀*X₂+(X₀)²+8⋅X₁*X₂+4⋅(X₁)²+X₂+4⋅(X₂)²-4⋅X₀*(X₁)²-8⋅(X₁)²*X₂-8⋅(X₁)³) :|: 1 ≤ X₀+X₁+4⋅(X₁)²+X₂

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: inf {Infinity}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}