ExecutionLog
|
`- Expected Cost
   |
   +- [f]
   |    0
   |
   +- [Program]
   |    0:While(m  1   n  1)
   |        Choice
   |          1/2: n :~ {1 : -1 + n}
   |          1/2: m :~ {1 : -1 + m}
   |        Tick(1)
   |
   +- While.step
   |  |
   |  +- [Problem]
   |  |    0:While(m  1   n  1)
   |  |        Choice
   |  |          1/2: n :~ {1 : -1 + n}
   |  |          1/2: m :~ {1 : -1 + m}
   |  |        Tick(1)
   |  |
   |  +- [f]
   |  |    0
   |  |
   |  +- Expected Cost Body
   |  |  |
   |  |  `- [1 | ]
   |  |
   |  +- linear-template
   |  |  |
   |  |  `- 1 + [m | m  0] + [n | n  0]
   |  |
   |  +- [Norms]
   |  |    [[1 | ],[m | m  0],[n | n  0]]
   |  |
   |  +- [Invariant]
   |  |    m  1   n  1 ==> [1 | ] + h([1 | ],1/2[m | m  0] + 1/2[-1 + m | -1 + m  0],1/2[-1 + n | -1 + n  0] + 1/2[n | n  0])  h([1 | ],[m | m  0],[n | n  0])
   |  |    1  1 + m   1  1 + n ==> 0  h([1 | ],[m | m  0],[n | n  0])
   |  |
   |  `- 2[m | m  0]
   |
   `- 2[m | m  0]

[Success] 2[m | m  0]
Degree: 1