Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀, X₁, X₂) → l1(X₀, X₁, X₂) :|: X₂ < 0
t₁: l1(X₀, X₁, X₂) → l1(X₀+(X₁)²*X₂, X₁-2⋅(X₂)², X₂) :|: 0 < X₀+(X₁)²

Preprocessing

Found invariant 1+X₂ ≤ 0 for location l1

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) :|: X₂ < 0
t₁: l1(X₀, X₁, X₂) → l1(X₀+(X₁)²*X₂, X₁-2⋅(X₂)², X₂) :|: 0 < X₀+(X₁)² ∧ 1+X₂ ≤ 0

Analysing control-flow refined program

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

Found invariant 1+X₂ ≤ 0 for location l1

Found invariant 1+X₂ ≤ 0 for location n_l1___1

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)}
t₁, X₂: X₂ {O(n)}