PRISM

Benchmark
Model:nand v.1 (DTMC)
Parameter(s)N = 40, K = 4
Property:reliable (prob-reach)
Invocation (default)
./fix-syntax ./prism --javamaxmem 11g nand.prism nand.props --property reliable -const N=40,K=4
Default settings.
Execution
Walltime:89.09796380996704s
Return code:0
Relative Error:6.501386768651067e-15
Log
PRISM
=====

Version: 4.4.dev
Date: Mon Dec 10 20:31:50 CET 2018
Hostname: qcomp2019
Memory limits: cudd=1g, java(heap)=1g
Command line: prism --javamaxmem 11g nand.prism nand.props --property reliable -const 'N=40,K=4'

Parsing model file "nand.prism"...

Parsing properties file "nand.props"...

1 property:
(1) "reliable": P=? [ F s=4&z/N<0.1 ]

Type:        DTMC
Modules:     multiplex 
Variables:   u c s z zx zy x y 

---------------------------------------------------------------------

Model checking: "reliable": P=? [ F s=4&z/N<0.1 ]
Model constants: N=40,K=4

Building model...
Model constants: N=40,K=4

Computing reachable states...

Reachability (BFS): 1442 iterations in 4.07 seconds (average 0.002820, setup 0.00)

Time for model construction: 4.243 seconds.

Type:        DTMC
States:      3999522 (1 initial)
Transitions: 6288542

Transition matrix: 49073 nodes (493 terminal), 6288542 minterms, vars: 33r/33c

Prob0: 1442 iterations in 4.07 seconds (average 0.002823, setup 0.00)

Prob1: 1297 iterations in 3.80 seconds (average 0.002929, setup 0.00)

yes = 141, no = 375263, maybe = 3624118

Computing remaining probabilities...
Engine: Hybrid

Building hybrid MTBDD matrix... [levels=33, nodes=65919] [3.0 MB]
Adding explicit sparse matrices... [levels=15, num=332, compact] [622.6 KB]
Creating vector for diagonals... [dist=1, compact] [7.6 MB]
Creating vector for RHS... [dist=2, compact] [7.6 MB]
Allocating iteration vectors... [2 x 30.5 MB]
TOTAL: [79.9 MB]

Starting iterations...
Iteration 96: max relative diff=1.000000, 5.01 sec so far
Iteration 192: max relative diff=1.000000, 10.05 sec so far
Iteration 289: max relative diff=1.000000, 15.06 sec so far
Iteration 387: max relative diff=1.000000, 20.09 sec so far
Iteration 484: max relative diff=1.000000, 25.11 sec so far
Iteration 582: max relative diff=1.000000, 30.14 sec so far
Iteration 680: max relative diff=1.000000, 35.17 sec so far
Iteration 778: max relative diff=1.000000, 40.21 sec so far
Iteration 876: max relative diff=1.000000, 45.24 sec so far
Iteration 974: max relative diff=1.000000, 50.27 sec so far
Iteration 1072: max relative diff=1.000000, 55.31 sec so far
Iteration 1170: max relative diff=1.000000, 60.34 sec so far
Iteration 1266: max relative diff=1.000000, 65.38 sec so far
Iteration 1363: max relative diff=1.000000, 70.38 sec so far

Jacobi: 1441 iterations in 76.06 seconds (average 0.051668, setup 1.61)

Value in the initial state: 0.6186822208151961

Time for model checking: 84.233 seconds.

Result: 0.6186822208151961 (value in the initial state)


Overall running time: 88.878 seconds.