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)³+16⋅(X₁)²*X₂, X₁-(X₀)²-4⋅X₀*X₁-4⋅X₀*X₂-4⋅(X₁)²-8⋅X₁*X₂-4⋅(X₂)², X₂+(X₀)²+4⋅X₀*X₁+4⋅X₀*X₂+4⋅(X₁)²+8⋅X₁*X₂+4⋅(X₂)²-4⋅X₀*(X₁)²-8⋅(X₁)³-8⋅(X₁)²*X₂) :|: 0 < 4⋅(X₁)²+X₀+X₁+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)³+16⋅(X₁)²*X₂, X₁-(X₀)²-4⋅X₀*X₁-4⋅X₀*X₂-4⋅(X₁)²-8⋅X₁*X₂-4⋅(X₂)², X₂+(X₀)²+4⋅X₀*X₁+4⋅X₀*X₂+4⋅(X₁)²+8⋅X₁*X₂+4⋅(X₂)²-4⋅X₀*(X₁)²-8⋅(X₁)³-8⋅(X₁)²*X₂) :|: 0 < 4⋅(X₁)²+X₀+X₁+X₂

Analysing control-flow refined program

Eliminate variables {NoDet0,NoDet1,NoDet2,X₀,X₁,X₂} that do not contribute to the problem

CFR did not improve the program. Rolling back

CFR did not improve the program. Rolling back

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)}