# Benchmarking MPI performance
# Scale number of processors
mpirun -np 1 ./heat -e 0.0001 -s 8000 -b h -n 800
Terminated after 3470 steps.  Max. difference = 0.000100
4.06 seconds.  2220800000 grid point computations.  nanoseconds/comp. = 1.83
mpirun -np 2 ./heat -e 0.0001 -s 8000 -b h -n 800
Terminated after 3470 steps.  Max. difference = 0.000100
2.09 seconds.  2220800000 grid point computations.  nanoseconds/comp. = 0.94
mpirun -np 4 ./heat -e 0.0001 -s 8000 -b h -n 800
Terminated after 3470 steps.  Max. difference = 0.000100
1.11 seconds.  2220800000 grid point computations.  nanoseconds/comp. = 0.50
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 800
Terminated after 3470 steps.  Max. difference = 0.000100
0.65 seconds.  2220800000 grid point computations.  nanoseconds/comp. = 0.29
# Scale problem size
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 1200
Terminated after 3513 steps.  Max. difference = 0.000100
2.85 seconds.  5058720000 grid point computations.  nanoseconds/comp. = 0.56
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 1600
Terminated after 3534 steps.  Max. difference = 0.000100
6.52 seconds.  9047040000 grid point computations.  nanoseconds/comp. = 0.72
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 2000
Terminated after 3547 steps.  Max. difference = 0.000100
11.64 seconds.  14188000000 grid point computations.  nanoseconds/comp. = 0.82
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 2400
Terminated after 3556 steps.  Max. difference = 0.000100
18.92 seconds.  20482560000 grid point computations.  nanoseconds/comp. = 0.92
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 2800
Terminated after 3563 steps.  Max. difference = 0.000100
28.13 seconds.  27933920000 grid point computations.  nanoseconds/comp. = 1.01
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 3200
Terminated after 3567 steps.  Max. difference = 0.000100
36.47 seconds.  36526080000 grid point computations.  nanoseconds/comp. = 1.00
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 3600
Terminated after 3571 steps.  Max. difference = 0.000100
45.51 seconds.  46280160000 grid point computations.  nanoseconds/comp. = 0.98
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 4000
Terminated after 3574 steps.  Max. difference = 0.000100
54.89 seconds.  57184000000 grid point computations.  nanoseconds/comp. = 0.96
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 4400
Terminated after 3576 steps.  Max. difference = 0.000100
65.42 seconds.  69231360000 grid point computations.  nanoseconds/comp. = 0.94
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 4800
Terminated after 3578 steps.  Max. difference = 0.000100
79.41 seconds.  82437120000 grid point computations.  nanoseconds/comp. = 0.96
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 5200
Terminated after 3580 steps.  Max. difference = 0.000100
90.10 seconds.  96803200000 grid point computations.  nanoseconds/comp. = 0.93
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 5600
Terminated after 3582 steps.  Max. difference = 0.000100
101.44 seconds.  112331520000 grid point computations.  nanoseconds/comp. = 0.90
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 6000
Terminated after 3583 steps.  Max. difference = 0.000100
114.09 seconds.  128988000000 grid point computations.  nanoseconds/comp. = 0.88
mpirun -np 8 ./heat -e 0.0001 -s 8000 -b h -n 6400
Terminated after 3584 steps.  Max. difference = 0.000100
129.16 seconds.  146800640000 grid point computations.  nanoseconds/comp. = 0.88