Note
Go to the end to download the full example code.
Jamming of bidisperse spheres (or disks)#
In this example, we’ll use the bisection search algorithm to find the nearest jammed state for a set of random configurations of bidisperse spheres (or disks) in a 3D (or 2D) periodic box.
The particles use a purely repulsive harmonic interaction potential, meaning that the potential energy is zero when the particles are not in contact, and is otherwise proportional to the square of the overlap distance.
The bisection search algorithm is a simple and efficient way to find the nearest jammed state for a given configuration. It works by incrementally compressing the box (equivalently growing the radii of the particles) and minimizing the total potential energy after each incremental compression. If, after a compression, the potential energy is nonzero, the state is said to be possibly jammed. In this case, the system is reverted to the last unjammed state and a bisection search is performed between the jammed and unjammed states. The algorithm will then find the largest packing fraction within the bounds which has a total potential energy near zero. Compressing beyond this packing fraction will result in a drastic increase in potential energy.
The bisection search algorithm is implemented in bisection_jam().
Imports#
import jax
import jax.numpy as jnp
import jaxdem as jd
# We need to enable double precision to reach the necessary accuracy for conventional jamming analysis.
jax.config.update("jax_enable_x64", True)
Parameters#
We’ll jam 10 systems of 10 particles in parallel. This highlights the utility of system-level parallelism in JaxDEM although it should be noted that the parallelized algorithm is only as fast as the slowest system. As we approach jamming, the systems will take longer to minimize, so the jamming algorithm can be quite slow if parallelized over many systems. We will place the particles down randomly in the box according to an initial packing fraction of 0.4.
N_systems = 10
N = 10
phi = 0.4
dim = 2
e_int = 1.0
dt = 1e-2
def build_microstate(i):
# assign bidisperse radii
rad = jnp.ones(N)
rad = rad.at[: N // 2].set(0.5)
rad = rad.at[N // 2:].set(0.7)
# set the box size for the packing fraction and the radii
volume = (jnp.pi ** (dim / 2) / jax.scipy.special.gamma(dim / 2 + 1)) * rad ** dim
L = (jnp.sum(volume) / phi) ** (1 / dim)
box_size = jnp.ones(dim) * L
# create microstate
key = jax.random.PRNGKey(i)
pos = jax.random.uniform(key, (N, dim), minval=0.0, maxval=L)
mass = jnp.ones(N)
mats = [jd.Material.create("elastic", young=e_int, poisson=0.5, density=1.0)]
matcher = jd.MaterialMatchmaker.create("harmonic")
mat_table = jd.MaterialTable.from_materials(mats, matcher=matcher)
# create system and state
state = jd.State.create(pos=pos, rad=rad, mass=mass, volume=volume)
system = jd.System.create(
state_shape=state.shape,
dt=dt,
linear_integrator_type="linearfire",
rotation_integrator_type="",
domain_type="periodic",
force_model_type="spring",
collider_type="naive",
# collider_type="celllist",
# collider_kw=dict(state=state),
mat_table=mat_table,
domain_kw=dict(
box_size=box_size,
),
)
return state, system
Run the Jamming Algorithm for Multiple Systems#
We’ll first create the systems and states using jax’s vmap function. This will create 10 states and systems in parallel. We could also use the State.stack method to join a list of states and systems.
state, system = jax.vmap(build_microstate)(jnp.arange(N_systems))
# We'll then run the jamming algorithm on the systems using jax's vmap function.
# This will run the jamming algorithm on each system in parallel.
# It returns the final state and system as well as their final packing fraction and potential energy.
# The final potential energy per degree of freedom should be less than the tolerance of 1e-16.
state, system, final_pf, final_pe = jax.vmap(lambda st, sys: jd.utils.jamming.bisection_jam(st, sys))(state, system)
print(f"Final potential energy: {final_pe}")
print(f"Final packing fraction: {final_pf}")
Initial minimization took 86 steps.
Initial minimization took 76 steps.
Initial minimization took 69 steps.
Warning: Initial state is already jammed (PE=0.0 > tol=1e-16). Skipping.
Initial minimization took 124 steps.
Initial minimization took 83 steps.
Warning: Initial state is already jammed (PE=0.0 > tol=1e-16). Skipping.
Initial minimization took 56 steps.
Warning: Initial state is already jammed (PE=0.0 > tol=1e-16). Skipping.
Initial minimization took 97 steps.
Warning: Initial state is already jammed (PE=0.0 > tol=1e-16). Skipping.
Initial minimization took 97 steps.
Warning: Initial state is already jammed (PE=0.0 > tol=1e-16). Skipping.
Initial minimization took 75 steps.
Warning: Initial state is already jammed (PE=0.0 > tol=1e-16). Skipping.
Initial minimization took 78 steps.
Warning: Initial state is already jammed (PE=0.0 > tol=1e-16). Skipping.
Warning: Initial state is already jammed (PE=0.0 > tol=1e-16). Skipping.
Warning: Initial state is already jammed (PE=0.0 > tol=1e-16). Skipping.
Warning: Initial state is already jammed (PE=0.0 > tol=1e-16). Skipping.
Step: 1 - phi=0.4000000000000001, PE=0.0 after 1 steps
Step: 1 - phi=0.4000000000000001, PE=0.0 after 1 steps
Step: 1 - phi=0.4000000000000001, PE=0.0 after 1 steps
Step: 1 - phi=0.4000000000000001, PE=0.0 after 1 steps
Step: 1 - phi=0.4000000000000001, PE=0.0 after 1 steps
Step: 1 - phi=0.4000000000000001, PE=0.0 after 1 steps
Step: 1 - phi=0.4000000000000001, PE=0.0 after 1 steps
Step: 1 - phi=0.4000000000000001, PE=0.0 after 1 steps
Step: 1 - phi=0.4000000000000001, PE=0.0 after 1 steps
Step: 1 - phi=0.4000000000000001, PE=0.0 after 1 steps
Step: 2 - phi=0.4010000000000001, PE=0.0 after 43 steps
Step: 2 - phi=0.4010000000000001, PE=0.0 after 43 steps
Step: 2 - phi=0.4010000000000001, PE=0.0 after 43 steps
Step: 2 - phi=0.4010000000000001, PE=0.0 after 43 steps
Step: 2 - phi=0.4010000000000001, PE=0.0 after 1 steps
Step: 2 - phi=0.4010000000000001, PE=0.0 after 75 steps
Step: 2 - phi=0.4010000000000001, PE=0.0 after 43 steps
Step: 2 - phi=0.4010000000000001, PE=0.0 after 43 steps
Step: 2 - phi=0.4010000000000001, PE=0.0 after 43 steps
Step: 2 - phi=0.4010000000000001, PE=0.0 after 1 steps
Step: 3 - phi=0.4020000000000001, PE=0.0 after 43 steps
Step: 3 - phi=0.4020000000000001, PE=0.0 after 43 steps
Step: 3 - phi=0.4020000000000001, PE=0.0 after 43 steps
Step: 3 - phi=0.4020000000000001, PE=0.0 after 43 steps
Step: 3 - phi=0.4020000000000001, PE=0.0 after 1 steps
Step: 3 - phi=0.4020000000000001, PE=0.0 after 49 steps
Step: 3 - phi=0.4020000000000001, PE=0.0 after 43 steps
Step: 3 - phi=0.4020000000000001, PE=0.0 after 43 steps
Step: 3 - phi=0.4020000000000001, PE=0.0 after 43 steps
Step: 3 - phi=0.4020000000000001, PE=0.0 after 43 steps
Step: 4 - phi=0.4030000000000001, PE=0.0 after 43 steps
Step: 4 - phi=0.4030000000000001, PE=0.0 after 43 steps
Step: 4 - phi=0.4030000000000001, PE=0.0 after 43 steps
Step: 4 - phi=0.4030000000000001, PE=0.0 after 43 steps
Step: 4 - phi=0.4030000000000001, PE=0.0 after 1 steps
Step: 4 - phi=0.4030000000000001, PE=0.0 after 49 steps
Step: 4 - phi=0.4030000000000001, PE=0.0 after 43 steps
Step: 4 - phi=0.4030000000000001, PE=0.0 after 43 steps
Step: 4 - phi=0.4030000000000001, PE=0.0 after 43 steps
Step: 4 - phi=0.4030000000000001, PE=0.0 after 43 steps
Step: 5 - phi=0.4040000000000001, PE=0.0 after 43 steps
Step: 5 - phi=0.4040000000000001, PE=0.0 after 49 steps
Step: 5 - phi=0.4040000000000001, PE=0.0 after 43 steps
Step: 5 - phi=0.4040000000000001, PE=0.0 after 43 steps
Step: 5 - phi=0.4040000000000001, PE=0.0 after 1 steps
Step: 5 - phi=0.4040000000000001, PE=0.0 after 49 steps
Step: 5 - phi=0.4040000000000001, PE=0.0 after 43 steps
Step: 5 - phi=0.4040000000000001, PE=0.0 after 43 steps
Step: 5 - phi=0.4040000000000001, PE=0.0 after 43 steps
Step: 5 - phi=0.4040000000000001, PE=0.0 after 43 steps
Step: 6 - phi=0.4050000000000001, PE=0.0 after 43 steps
Step: 6 - phi=0.4050000000000001, PE=0.0 after 43 steps
Step: 6 - phi=0.4050000000000001, PE=0.0 after 47 steps
Step: 6 - phi=0.4050000000000001, PE=0.0 after 43 steps
Step: 6 - phi=0.4050000000000001, PE=0.0 after 1 steps
Step: 6 - phi=0.4050000000000001, PE=0.0 after 49 steps
Step: 6 - phi=0.4050000000000001, PE=0.0 after 43 steps
Step: 6 - phi=0.4050000000000001, PE=0.0 after 43 steps
Step: 6 - phi=0.4050000000000001, PE=0.0 after 43 steps
Step: 6 - phi=0.4050000000000001, PE=0.0 after 46 steps
Step: 7 - phi=0.4060000000000001, PE=0.0 after 43 steps
Step: 7 - phi=0.4060000000000001, PE=0.0 after 50 steps
Step: 7 - phi=0.4060000000000001, PE=0.0 after 43 steps
Step: 7 - phi=0.4060000000000001, PE=0.0 after 43 steps
Step: 7 - phi=0.4060000000000001, PE=0.0 after 1 steps
Step: 7 - phi=0.4060000000000001, PE=0.0 after 49 steps
Step: 7 - phi=0.4060000000000001, PE=0.0 after 43 steps
Step: 7 - phi=0.4060000000000001, PE=0.0 after 43 steps
Step: 7 - phi=0.4060000000000001, PE=0.0 after 43 steps
Step: 7 - phi=0.4060000000000001, PE=0.0 after 46 steps
Step: 8 - phi=0.4070000000000001, PE=0.0 after 43 steps
Step: 8 - phi=0.4070000000000001, PE=0.0 after 43 steps
Step: 8 - phi=0.4070000000000001, PE=0.0 after 57 steps
Step: 8 - phi=0.4070000000000001, PE=0.0 after 43 steps
Step: 8 - phi=0.4070000000000001, PE=0.0 after 1 steps
Step: 8 - phi=0.4070000000000001, PE=0.0 after 72 steps
Step: 8 - phi=0.4070000000000001, PE=0.0 after 48 steps
Step: 8 - phi=0.4070000000000001, PE=0.0 after 43 steps
Step: 8 - phi=0.4070000000000001, PE=0.0 after 43 steps
Step: 8 - phi=0.4070000000000001, PE=0.0 after 46 steps
Step: 9 - phi=0.4080000000000001, PE=0.0 after 43 steps
Step: 9 - phi=0.4080000000000001, PE=0.0 after 43 steps
Step: 9 - phi=0.4080000000000001, PE=0.0 after 64 steps
Step: 9 - phi=0.4080000000000001, PE=0.0 after 43 steps
Step: 9 - phi=0.4080000000000001, PE=0.0 after 1 steps
Step: 9 - phi=0.4080000000000001, PE=0.0 after 58 steps
Step: 9 - phi=0.4080000000000001, PE=0.0 after 56 steps
Step: 9 - phi=0.4080000000000001, PE=0.0 after 43 steps
Step: 9 - phi=0.4080000000000001, PE=0.0 after 49 steps
Step: 9 - phi=0.4080000000000001, PE=0.0 after 46 steps
Step: 10 - phi=0.4090000000000001, PE=0.0 after 43 steps
Step: 10 - phi=0.4090000000000001, PE=0.0 after 43 steps
Step: 10 - phi=0.4090000000000001, PE=0.0 after 59 steps
Step: 10 - phi=0.4090000000000001, PE=0.0 after 43 steps
Step: 10 - phi=0.4090000000000001, PE=0.0 after 43 steps
Step: 10 - phi=0.4090000000000001, PE=0.0 after 56 steps
Step: 10 - phi=0.4090000000000001, PE=0.0 after 51 steps
Step: 10 - phi=0.4090000000000001, PE=0.0 after 43 steps
Step: 10 - phi=0.4090000000000001, PE=0.0 after 48 steps
Step: 10 - phi=0.4090000000000001, PE=0.0 after 46 steps
Step: 11 - phi=0.4100000000000001, PE=0.0 after 43 steps
Step: 11 - phi=0.4100000000000001, PE=0.0 after 43 steps
Step: 11 - phi=0.4100000000000001, PE=0.0 after 55 steps
Step: 11 - phi=0.4100000000000001, PE=0.0 after 43 steps
Step: 11 - phi=0.4100000000000001, PE=0.0 after 43 steps
Step: 11 - phi=0.4100000000000001, PE=0.0 after 57 steps
Step: 11 - phi=0.4100000000000001, PE=0.0 after 50 steps
Step: 11 - phi=0.4100000000000001, PE=0.0 after 43 steps
Step: 11 - phi=0.4100000000000001, PE=0.0 after 48 steps
Step: 11 - phi=0.4100000000000001, PE=0.0 after 46 steps
Step: 12 - phi=0.4110000000000001, PE=0.0 after 43 steps
Step: 12 - phi=0.4110000000000001, PE=0.0 after 56 steps
Step: 12 - phi=0.4110000000000001, PE=0.0 after 43 steps
Step: 12 - phi=0.4110000000000001, PE=0.0 after 43 steps
Step: 12 - phi=0.4110000000000001, PE=0.0 after 43 steps
Step: 12 - phi=0.4110000000000001, PE=0.0 after 57 steps
Step: 12 - phi=0.4110000000000001, PE=0.0 after 50 steps
Step: 12 - phi=0.4110000000000001, PE=0.0 after 43 steps
Step: 12 - phi=0.4110000000000001, PE=0.0 after 48 steps
Step: 12 - phi=0.4110000000000001, PE=0.0 after 46 steps
Step: 13 - phi=0.4120000000000001, PE=0.0 after 43 steps
Step: 13 - phi=0.4120000000000001, PE=0.0 after 43 steps
Step: 13 - phi=0.4120000000000001, PE=0.0 after 56 steps
Step: 13 - phi=0.4120000000000001, PE=0.0 after 43 steps
Step: 13 - phi=0.4120000000000001, PE=0.0 after 43 steps
Step: 13 - phi=0.4120000000000001, PE=0.0 after 57 steps
Step: 13 - phi=0.4120000000000001, PE=0.0 after 50 steps
Step: 13 - phi=0.4120000000000001, PE=0.0 after 43 steps
Step: 13 - phi=0.4120000000000001, PE=0.0 after 48 steps
Step: 13 - phi=0.4120000000000001, PE=0.0 after 46 steps
Step: 14 - phi=0.4130000000000001, PE=0.0 after 43 steps
Step: 14 - phi=0.4130000000000001, PE=0.0 after 43 steps
Step: 14 - phi=0.4130000000000001, PE=0.0 after 56 steps
Step: 14 - phi=0.4130000000000001, PE=0.0 after 43 steps
Step: 14 - phi=0.4130000000000001, PE=0.0 after 43 steps
Step: 14 - phi=0.4130000000000001, PE=0.0 after 57 steps
Step: 14 - phi=0.4130000000000001, PE=0.0 after 50 steps
Step: 14 - phi=0.4130000000000001, PE=0.0 after 43 steps
Step: 14 - phi=0.4130000000000001, PE=0.0 after 48 steps
Step: 14 - phi=0.4130000000000001, PE=0.0 after 46 steps
Step: 15 - phi=0.4140000000000001, PE=0.0 after 43 steps
Step: 15 - phi=0.4140000000000001, PE=0.0 after 56 steps
Step: 15 - phi=0.4140000000000001, PE=0.0 after 43 steps
Step: 15 - phi=0.4140000000000001, PE=0.0 after 43 steps
Step: 15 - phi=0.4140000000000001, PE=0.0 after 43 steps
Step: 15 - phi=0.4140000000000001, PE=0.0 after 57 steps
Step: 15 - phi=0.4140000000000001, PE=0.0 after 50 steps
Step: 15 - phi=0.4140000000000001, PE=0.0 after 43 steps
Step: 15 - phi=0.4140000000000001, PE=0.0 after 48 steps
Step: 15 - phi=0.4140000000000001, PE=0.0 after 46 steps
Step: 16 - phi=0.4150000000000001, PE=0.0 after 43 steps
Step: 16 - phi=0.4150000000000001, PE=0.0 after 58 steps
Step: 16 - phi=0.4150000000000001, PE=0.0 after 43 steps
Step: 16 - phi=0.4150000000000001, PE=0.0 after 43 steps
Step: 16 - phi=0.4150000000000001, PE=0.0 after 43 steps
Step: 16 - phi=0.4150000000000001, PE=0.0 after 57 steps
Step: 16 - phi=0.4150000000000001, PE=0.0 after 50 steps
Step: 16 - phi=0.4150000000000001, PE=0.0 after 43 steps
Step: 16 - phi=0.4150000000000001, PE=0.0 after 48 steps
Step: 16 - phi=0.4150000000000001, PE=0.0 after 46 steps
Step: 17 - phi=0.4160000000000001, PE=0.0 after 43 steps
Step: 17 - phi=0.4160000000000001, PE=0.0 after 57 steps
Step: 17 - phi=0.4160000000000001, PE=0.0 after 43 steps
Step: 17 - phi=0.4160000000000001, PE=0.0 after 43 steps
Step: 17 - phi=0.4160000000000001, PE=0.0 after 43 steps
Step: 17 - phi=0.4160000000000001, PE=0.0 after 57 steps
Step: 17 - phi=0.4160000000000001, PE=0.0 after 50 steps
Step: 17 - phi=0.4160000000000001, PE=0.0 after 43 steps
Step: 17 - phi=0.4160000000000001, PE=0.0 after 48 steps
Step: 17 - phi=0.4160000000000001, PE=0.0 after 46 steps
Step: 18 - phi=0.4170000000000001, PE=0.0 after 43 steps
Step: 18 - phi=0.4170000000000001, PE=0.0 after 43 steps
Step: 18 - phi=0.4170000000000001, PE=0.0 after 56 steps
Step: 18 - phi=0.4170000000000001, PE=0.0 after 97 steps
Step: 18 - phi=0.4170000000000001, PE=0.0 after 43 steps
Step: 18 - phi=0.4170000000000001, PE=0.0 after 57 steps
Step: 18 - phi=0.4170000000000001, PE=0.0 after 50 steps
Step: 18 - phi=0.4170000000000001, PE=0.0 after 43 steps
Step: 18 - phi=0.4170000000000001, PE=0.0 after 48 steps
Step: 18 - phi=0.4170000000000001, PE=0.0 after 46 steps
Step: 19 - phi=0.4180000000000001, PE=0.0 after 43 steps
Step: 19 - phi=0.4180000000000001, PE=0.0 after 56 steps
Step: 19 - phi=0.4180000000000001, PE=0.0 after 49 steps
Step: 19 - phi=0.4180000000000001, PE=0.0 after 43 steps
Step: 19 - phi=0.4180000000000001, PE=0.0 after 43 steps
Step: 19 - phi=0.4180000000000001, PE=0.0 after 57 steps
Step: 19 - phi=0.4180000000000001, PE=0.0 after 50 steps
Step: 19 - phi=0.4180000000000001, PE=0.0 after 43 steps
Step: 19 - phi=0.4180000000000001, PE=0.0 after 48 steps
Step: 19 - phi=0.4180000000000001, PE=0.0 after 46 steps
Step: 20 - phi=0.4190000000000001, PE=0.0 after 47 steps
Step: 20 - phi=0.4190000000000001, PE=0.0 after 43 steps
Step: 20 - phi=0.4190000000000001, PE=0.0 after 56 steps
Step: 20 - phi=0.4190000000000001, PE=0.0 after 49 steps
Step: 20 - phi=0.4190000000000001, PE=0.0 after 43 steps
Step: 20 - phi=0.4190000000000001, PE=0.0 after 57 steps
Step: 20 - phi=0.4190000000000001, PE=0.0 after 50 steps
Step: 20 - phi=0.4190000000000001, PE=0.0 after 43 steps
Step: 20 - phi=0.4190000000000001, PE=0.0 after 48 steps
Step: 20 - phi=0.4190000000000001, PE=0.0 after 80 steps
Step: 21 - phi=0.4200000000000001, PE=0.0 after 48 steps
Step: 21 - phi=0.4200000000000001, PE=0.0 after 43 steps
Step: 21 - phi=0.4200000000000001, PE=0.0 after 56 steps
Step: 21 - phi=0.4200000000000001, PE=0.0 after 49 steps
Step: 21 - phi=0.4200000000000001, PE=0.0 after 43 steps
Step: 21 - phi=0.4200000000000001, PE=0.0 after 57 steps
Step: 21 - phi=0.4200000000000001, PE=0.0 after 71 steps
Step: 21 - phi=0.4200000000000001, PE=0.0 after 43 steps
Step: 21 - phi=0.4200000000000001, PE=0.0 after 48 steps
Step: 21 - phi=0.4200000000000001, PE=0.0 after 51 steps
Step: 22 - phi=0.4210000000000001, PE=0.0 after 48 steps
Step: 22 - phi=0.4210000000000001, PE=0.0 after 56 steps
Step: 22 - phi=0.4210000000000001, PE=0.0 after 43 steps
Step: 22 - phi=0.4210000000000001, PE=0.0 after 49 steps
Step: 22 - phi=0.4210000000000001, PE=0.0 after 43 steps
Step: 22 - phi=0.4210000000000001, PE=0.0 after 57 steps
Step: 22 - phi=0.4210000000000001, PE=0.0 after 69 steps
Step: 22 - phi=0.4210000000000001, PE=0.0 after 43 steps
Step: 22 - phi=0.4210000000000001, PE=0.0 after 48 steps
Step: 22 - phi=0.4210000000000001, PE=0.0 after 50 steps
Step: 23 - phi=0.4220000000000001, PE=0.0 after 48 steps
Step: 23 - phi=0.4220000000000001, PE=0.0 after 46 steps
Step: 23 - phi=0.4220000000000001, PE=0.0 after 56 steps
Step: 23 - phi=0.4220000000000001, PE=0.0 after 49 steps
Step: 23 - phi=0.4220000000000001, PE=0.0 after 43 steps
Step: 23 - phi=0.4220000000000001, PE=0.0 after 57 steps
Step: 23 - phi=0.4220000000000001, PE=0.0 after 68 steps
Step: 23 - phi=0.4220000000000001, PE=0.0 after 43 steps
Step: 23 - phi=0.4220000000000001, PE=0.0 after 48 steps
Step: 23 - phi=0.4220000000000001, PE=0.0 after 50 steps
Step: 24 - phi=0.4230000000000001, PE=0.0 after 48 steps
Step: 24 - phi=0.4230000000000001, PE=0.0 after 47 steps
Step: 24 - phi=0.4230000000000001, PE=0.0 after 56 steps
Step: 24 - phi=0.4230000000000001, PE=0.0 after 49 steps
Step: 24 - phi=0.4230000000000001, PE=0.0 after 43 steps
Step: 24 - phi=0.4230000000000001, PE=0.0 after 57 steps
Step: 24 - phi=0.4230000000000001, PE=0.0 after 68 steps
Step: 24 - phi=0.4230000000000001, PE=0.0 after 43 steps
Step: 24 - phi=0.4230000000000001, PE=0.0 after 48 steps
Step: 24 - phi=0.4230000000000001, PE=0.0 after 50 steps
Step: 25 - phi=0.4240000000000001, PE=0.0 after 48 steps
Step: 25 - phi=0.4240000000000001, PE=0.0 after 56 steps
Step: 25 - phi=0.4240000000000001, PE=0.0 after 46 steps
Step: 25 - phi=0.4240000000000001, PE=0.0 after 49 steps
Step: 25 - phi=0.4240000000000001, PE=0.0 after 43 steps
Step: 25 - phi=0.4240000000000001, PE=0.0 after 57 steps
Step: 25 - phi=0.4240000000000001, PE=0.0 after 68 steps
Step: 25 - phi=0.4240000000000001, PE=0.0 after 43 steps
Step: 25 - phi=0.4240000000000001, PE=0.0 after 48 steps
Step: 25 - phi=0.4240000000000001, PE=0.0 after 87 steps
Step: 26 - phi=0.4250000000000001, PE=0.0 after 48 steps
Step: 26 - phi=0.4250000000000001, PE=0.0 after 46 steps
Step: 26 - phi=0.4250000000000001, PE=0.0 after 56 steps
Step: 26 - phi=0.4250000000000001, PE=0.0 after 49 steps
Step: 26 - phi=0.4250000000000001, PE=0.0 after 43 steps
Step: 26 - phi=0.4250000000000001, PE=0.0 after 57 steps
Step: 26 - phi=0.4250000000000001, PE=0.0 after 67 steps
Step: 26 - phi=0.4250000000000001, PE=0.0 after 43 steps
Step: 26 - phi=0.4250000000000001, PE=0.0 after 48 steps
Step: 26 - phi=0.4250000000000001, PE=0.0 after 52 steps
Step: 27 - phi=0.4260000000000001, PE=0.0 after 48 steps
Step: 27 - phi=0.4260000000000001, PE=0.0 after 56 steps
Step: 27 - phi=0.4260000000000001, PE=0.0 after 46 steps
Step: 27 - phi=0.4260000000000001, PE=0.0 after 49 steps
Step: 27 - phi=0.4260000000000001, PE=0.0 after 43 steps
Step: 27 - phi=0.4260000000000001, PE=0.0 after 57 steps
Step: 27 - phi=0.4260000000000001, PE=0.0 after 67 steps
Step: 27 - phi=0.4260000000000001, PE=0.0 after 43 steps
Step: 27 - phi=0.4260000000000001, PE=0.0 after 48 steps
Step: 27 - phi=0.4260000000000001, PE=0.0 after 52 steps
Step: 28 - phi=0.4270000000000001, PE=0.0 after 48 steps
Step: 28 - phi=0.4270000000000001, PE=0.0 after 46 steps
Step: 28 - phi=0.4270000000000001, PE=0.0 after 56 steps
Step: 28 - phi=0.4270000000000001, PE=0.0 after 49 steps
Step: 28 - phi=0.4270000000000001, PE=0.0 after 43 steps
Step: 28 - phi=0.4270000000000001, PE=0.0 after 57 steps
Step: 28 - phi=0.4270000000000001, PE=0.0 after 67 steps
Step: 28 - phi=0.4270000000000001, PE=0.0 after 43 steps
Step: 28 - phi=0.4270000000000001, PE=0.0 after 48 steps
Step: 28 - phi=0.4270000000000001, PE=0.0 after 52 steps
Step: 29 - phi=0.4280000000000001, PE=0.0 after 48 steps
Step: 29 - phi=0.4280000000000001, PE=0.0 after 46 steps
Step: 29 - phi=0.4280000000000001, PE=0.0 after 56 steps
Step: 29 - phi=0.4280000000000001, PE=0.0 after 49 steps
Step: 29 - phi=0.4280000000000001, PE=0.0 after 43 steps
Step: 29 - phi=0.4280000000000001, PE=0.0 after 57 steps
Step: 29 - phi=0.4280000000000001, PE=0.0 after 67 steps
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Step: 394 - phi=0.7930000000000004, PE=1.5384582519816217e-17 after 851 steps
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Step: 394 - phi=0.7930000000000004, PE=0.0 after 199 steps
Step: 394 - phi=0.7930000000000004, PE=0.0 after 367 steps
Step: 395 - phi=0.7940000000000004, PE=0.0 after 160 steps
Step: 395 - phi=0.7940000000000004, PE=8.701135779671236e-17 after 230 steps
Step: 395 - phi=0.7836650390625004, PE=3.148188082652385e-14 after 917 steps
Step: 395 - phi=0.7940000000000004, PE=4.1272436102468254e-18 after 227 steps
Step: 395 - phi=0.7940000000000004, PE=0.0 after 116 steps
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Step: 395 - phi=0.7940000000000004, PE=0.0 after 431 steps
Step: 395 - phi=0.7940000000000004, PE=0.0 after 324 steps
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Step: 395 - phi=0.7940000000000004, PE=0.0 after 343 steps
Step: 396 - phi=0.7950000000000004, PE=2.4580595065058296e-19 after 171 steps
Step: 396 - phi=0.7950000000000004, PE=0.0 after 198 steps
Step: 396 - phi=0.7836645507812504, PE=9.490322322107352e-17 after 243 steps
Step: 396 - phi=0.7950000000000004, PE=0.0 after 226 steps
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Step: 396 - phi=0.7950000000000004, PE=2.5820193915439273e-07 after 724 steps
Step: 396 - phi=0.7950000000000004, PE=0.0 after 278 steps
Step: 396 - phi=0.7950000000000004, PE=0.0 after 230 steps
Step: 396 - phi=0.7950000000000004, PE=0.0 after 326 steps
Step: 397 - phi=0.7960000000000004, PE=8.323404445481394e-17 after 468 steps
Step: 397 - phi=0.7960000000000004, PE=0.0 after 199 steps
Step: 397 - phi=0.7836647949218754, PE=7.118345248283289e-16 after 793 steps
Step: 397 - phi=0.7960000000000004, PE=0.0 after 198 steps
Step: 397 - phi=0.7960000000000004, PE=0.0 after 113 steps
Step: 397 - phi=0.7960000000000004, PE=0.0 after 203 steps
Step: 397 - phi=0.7945000000000004, PE=3.84978683647734e-08 after 973 steps
Step: 397 - phi=0.7960000000000004, PE=0.0 after 250 steps
Step: 397 - phi=0.7960000000000004, PE=0.0 after 191 steps
Step: 397 - phi=0.7960000000000004, PE=0.0 after 315 steps
Step: 398 - phi=0.7970000000000004, PE=0.0 after 351 steps
Step: 398 - phi=0.7836646728515628, PE=9.961742679783444e-17 after 176 steps
Step: 398 - phi=0.7970000000000004, PE=0.0 after 206 steps
Step: 398 - phi=0.7970000000000004, PE=0.0 after 224 steps
Step: 398 - phi=0.7970000000000004, PE=7.000718886802522e-17 after 213 steps
Step: 398 - phi=0.7970000000000004, PE=5.558803362260093e-18 after 213 steps
Step: 398 - phi=0.7942500000000003, PE=1.6063392089016382e-09 after 1071 steps
Step: 398 - phi=0.7970000000000004, PE=0.0 after 251 steps
Step: 398 - phi=0.7970000000000004, PE=0.0 after 215 steps
Step: 398 - phi=0.7970000000000004, PE=7.468602685166079e-17 after 347 steps
Step: 399 - phi=0.7980000000000004, PE=0.0 after 319 steps
Step: 399 - phi=0.7836647338867191, PE=9.489203979522638e-17 after 156 steps
Step: 399 - phi=0.7980000000000004, PE=0.0 after 229 steps
Step: 399 - phi=0.7980000000000004, PE=0.0 after 197 steps
Step: 399 - phi=0.7980000000000004, PE=0.0 after 113 steps
Step: 399 - phi=0.7980000000000004, PE=0.0 after 193 steps
Step: 399 - phi=0.7941250000000004, PE=4.727264323332946e-18 after 438 steps
Step: 399 - phi=0.7980000000000004, PE=0.0 after 326 steps
Step: 399 - phi=0.7980000000000004, PE=0.0 after 216 steps
Step: 399 - phi=0.7980000000000004, PE=0.0 after 413 steps
Step: 400 - phi=0.7990000000000004, PE=0.0 after 299 steps
Step: 400 - phi=0.7990000000000004, PE=9.872083974958944e-17 after 342 steps
Step: 400 - phi=0.7836647644042972, PE=9.776145788406449e-17 after 139 steps
Step: 400 - phi=0.7990000000000004, PE=0.0 after 166 steps
Step: 400 - phi=0.7990000000000004, PE=0.0 after 172 steps
Step: 400 - phi=0.7990000000000004, PE=2.4349052432576715e-18 after 172 steps
Step: 400 - phi=0.7941875000000004, PE=1.0598605025988048e-12 after 1313 steps
Step: 400 - phi=0.7990000000000004, PE=0.0 after 276 steps
Step: 400 - phi=0.7990000000000004, PE=0.0 after 187 steps
Step: 400 - phi=0.7990000000000004, PE=0.0 after 316 steps
Step: 401 - phi=0.8000000000000004, PE=0.0 after 311 steps
Step: 401 - phi=0.8000000000000004, PE=6.122203798320171e-17 after 362 steps
Step: 401 - phi=0.7836647796630862, PE=2.978478913970834e-16 after 745 steps
Step: 401 - phi=0.8000000000000004, PE=9.03053318746054e-17 after 360 steps
Step: 401 - phi=0.8000000000000004, PE=0.0 after 140 steps
Step: 401 - phi=0.8000000000000004, PE=0.0 after 165 steps
Step: 401 - phi=0.7941562500000003, PE=2.3109757246828075e-18 after 389 steps
Step: 401 - phi=0.8000000000000004, PE=0.0 after 306 steps
Step: 401 - phi=0.8000000000000004, PE=0.0 after 222 steps
Step: 401 - phi=0.8000000000000004, PE=0.0 after 408 steps
Step: 402 - phi=0.8010000000000004, PE=0.0 after 271 steps
Step: 402 - phi=0.8010000000000004, PE=5.427391602262093e-17 after 270 steps
Step: 402 - phi=0.7836647720336918, PE=1.574345193307141e-16 after 616 steps
Step: 402 - phi=0.8010000000000004, PE=9.92694476740163e-17 after 270 steps
Step: 402 - phi=0.8010000000000004, PE=0.0 after 143 steps
Step: 402 - phi=0.8010000000000004, PE=0.0 after 130 steps
Step: 402 - phi=0.7941718750000004, PE=1.7746964587555338e-17 after 384 steps
Step: 402 - phi=0.8010000000000004, PE=1.8893818021309391e-07 after 1888 steps
Step: 402 - phi=0.8010000000000004, PE=0.0 after 202 steps
Step: 402 - phi=0.8010000000000004, PE=0.0 after 283 steps
Step: 403 - phi=0.8020000000000004, PE=0.0 after 258 steps
Step: 403 - phi=0.7836647682189946, PE=1.0387281900743316e-16 after 683 steps
Step: 403 - phi=0.8020000000000004, PE=0.0 after 174 steps
Step: 403 - phi=0.8020000000000004, PE=8.506263685694682e-17 after 231 steps
Step: 403 - phi=0.8020000000000004, PE=0.0 after 165 steps
Step: 403 - phi=0.8020000000000004, PE=0.0 after 129 steps
Step: 403 - phi=0.7941796875000005, PE=2.4492684739909568e-18 after 383 steps
Step: 403 - phi=0.8005000000000004, PE=3.497032055910008e-08 after 1980 steps
Step: 403 - phi=0.8020000000000004, PE=0.0 after 165 steps
Step: 403 - phi=0.8020000000000004, PE=2.315963103389258e-08 after 1115 steps
Step: 404 - phi=0.8030000000000004, PE=0.0 after 257 steps
Step: 404 - phi=0.8030000000000004, PE=0.0 after 1882 steps
Step: 404 - phi=0.7836647663116458, PE=9.953188630003088e-17 after 66 steps
Step: 404 - phi=0.8030000000000004, PE=9.460199222203052e-17 after 412 steps
Step: 404 - phi=0.8030000000000004, PE=0.0 after 130 steps
Step: 404 - phi=0.8030000000000004, PE=0.0 after 128 steps
Step: 404 - phi=0.7941835937500004, PE=5.376929514679619e-17 after 382 steps
Step: 404 - phi=0.8002500000000003, PE=3.927811276755815e-09 after 2711 steps
Step: 404 - phi=0.8030000000000004, PE=0.0 after 186 steps
Step: 404 - phi=0.8015000000000003, PE=0.0 after 272 steps
Step: 405 - phi=0.8040000000000004, PE=0.0 after 246 steps
Step: 405 - phi=0.8040000000000004, PE=0.0 after 598 steps
Step: 405 - phi=0.7836647672653202, PE=9.978273170398746e-17 after 82 steps
Step: 405 - phi=0.8040000000000004, PE=1.798312444044733e-18 after 582 steps
Step: 405 - phi=0.8040000000000004, PE=0.0 after 132 steps
Step: 405 - phi=0.8040000000000004, PE=0.0 after 127 steps
Step: 405 - phi=0.7941855468750003, PE=7.928525386967745e-17 after 380 steps
Step: 405 - phi=0.8001250000000004, PE=1.4634628218104742e-13 after 5128 steps
Step: 405 - phi=0.8040000000000004, PE=0.0 after 161 steps
Step: 405 - phi=0.8017500000000004, PE=9.068470531508665e-17 after 303 steps
Step: 406 - phi=0.8050000000000004, PE=0.0 after 215 steps
Step: 406 - phi=0.8050000000000004, PE=0.0 after 418 steps
Step: 406 - phi=0.7836647677421573, PE=9.9900553545241e-17 after 95 steps
Step: 406 - phi=0.8050000000000004, PE=4.1530345519776216e-17 after 351 steps
Step: 406 - phi=0.8050000000000004, PE=9.270562797699761e-17 after 299 steps
Step: 406 - phi=0.8050000000000004, PE=0.0 after 226 steps
Step: 406 - phi=0.7941865234375003, PE=1.7580363221808454e-13 after 787 steps
Step: 406 - phi=0.8000625000000003, PE=0.0 after 156 steps
Step: 406 - phi=0.8050000000000004, PE=0.0 after 171 steps
Step: 406 - phi=0.8018750000000003, PE=4.922897623970686e-09 after 944 steps
Step: 407 - phi=0.8060000000000004, PE=0.0 after 222 steps
Step: 407 - phi=0.8060000000000004, PE=0.0 after 404 steps
Step: 407 - phi=0.7836647679805759, PE=1.0089365620673785e-16 after 551 steps
Step: 407 - phi=0.8060000000000004, PE=7.873263059434613e-17 after 604 steps
Step: 407 - phi=0.8060000000000004, PE=7.309751802590516e-17 after 233 steps
Step: 407 - phi=0.8060000000000004, PE=1.5004670195444465e-17 after 226 steps
Step: 407 - phi=0.7941860351562503, PE=1.3038417701341496e-14 after 832 steps
Step: 407 - phi=0.8000937500000004, PE=9.542117434176422e-17 after 1912 steps
Step: 407 - phi=0.8060000000000004, PE=0.0 after 177 steps
Step: 407 - phi=0.8018125000000004, PE=8.491430858599885e-10 after 1005 steps
Step: 408 - phi=0.8070000000000004, PE=8.979241783261702e-17 after 440 steps
Step: 408 - phi=0.8070000000000004, PE=0.0 after 420 steps
Step: 408 - phi=0.7836647678613666, PE=9.998471462806213e-17 after 92 steps
Step: 408 - phi=0.8070000000000004, PE=0.0 after 285 steps
Step: 408 - phi=0.8070000000000004, PE=0.0 after 162 steps
Step: 408 - phi=0.8070000000000004, PE=0.0 after 196 steps
Step: 408 - phi=0.7941857910156254, PE=9.358659173930792e-17 after 392 steps
Step: 408 - phi=0.8001093750000003, PE=9.702560913492564e-17 after 4211 steps
Step: 408 - phi=0.8070000000000004, PE=0.0 after 156 steps
Step: 408 - phi=0.8017812500000003, PE=7.439103438665837e-11 after 814 steps
Step: 409 - phi=0.8080000000000004, PE=0.0 after 258 steps
Step: 409 - phi=0.8080000000000004, PE=0.0 after 358 steps
Step: 409 - phi=0.7836647679209713, PE=1.0015564010334584e-16 after 583 steps
Step: 409 - phi=0.8080000000000004, PE=5.941079610109471e-17 after 308 steps
Step: 409 - phi=0.8080000000000004, PE=0.0 after 137 steps
Step: 409 - phi=0.8080000000000004, PE=0.0 after 206 steps
Step: 409 - phi=0.7941859130859379, PE=1.437163438238376e-15 after 816 steps
Step: 409 - phi=0.8001171875000004, PE=8.048759779860438e-17 after 3299 steps
Step: 409 - phi=0.8080000000000004, PE=0.0 after 169 steps
Step: 409 - phi=0.8017656250000004, PE=7.859685239018342e-17 after 286 steps
Step: 410 - phi=0.8090000000000004, PE=6.983248452031284e-17 after 239 steps
Step: 410 - phi=0.8090000000000004, PE=0.0 after 319 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 410 - phi=0.8090000000000004, PE=7.476770114432963e-17 after 430 steps
Step: 410 - phi=0.8090000000000004, PE=2.095942484257251e-17 after 164 steps
Step: 410 - phi=0.8090000000000004, PE=9.356263820512319e-17 after 346 steps
Step: 410 - phi=0.7941858520507816, PE=9.713729624960411e-17 after 327 steps
Step: 410 - phi=0.8001210937500004, PE=9.584061632751131e-17 after 3060 steps
Step: 410 - phi=0.8090000000000004, PE=8.608964108120383e-17 after 254 steps
Step: 410 - phi=0.8017734375000003, PE=1.2221402674361154e-11 after 803 steps
Step: 411 - phi=0.8100000000000004, PE=7.50449166624664e-17 after 266 steps
Step: 411 - phi=0.8100000000000004, PE=0.0 after 355 steps
Step: 411 - phi=0.8100000000000004, PE=0.0 after 239 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 411 - phi=0.8100000000000004, PE=6.724639720501604e-17 after 209 steps
Step: 411 - phi=0.8100000000000004, PE=0.0 after 254 steps
Step: 411 - phi=0.7941858825683598, PE=3.5498126055818355e-16 after 634 steps
Step: 411 - phi=0.8001230468750005, PE=9.222192511656165e-17 after 2950 steps
Step: 411 - phi=0.8100000000000004, PE=0.0 after 148 steps
Step: 411 - phi=0.8017695312500004, PE=8.673265722545945e-13 after 1015 steps
Step: 412 - phi=0.8110000000000004, PE=9.752951181606842e-17 after 442 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 412 - phi=0.8110000000000004, PE=0.0 after 508 steps
Step: 412 - phi=0.8110000000000004, PE=8.58506055323469e-17 after 300 steps
Step: 412 - phi=0.8110000000000004, PE=0.0 after 141 steps
Step: 412 - phi=0.8110000000000004, PE=0.0 after 201 steps
Step: 412 - phi=0.7941858673095707, PE=9.98273662067128e-17 after 257 steps
Step: 412 - phi=0.8001240234375004, PE=9.75999544020389e-17 after 2886 steps
Step: 412 - phi=0.8110000000000004, PE=0.0 after 183 steps
Step: 412 - phi=0.8017675781250004, PE=9.858276441847722e-17 after 567 steps
Step: 413 - phi=0.8120000000000004, PE=0.0 after 683 steps
Step: 413 - phi=0.8120000000000004, PE=4.960961326765376e-17 after 430 steps
Step: 413 - phi=0.8120000000000004, PE=0.0 after 265 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 413 - phi=0.8120000000000004, PE=0.0 after 124 steps
Step: 413 - phi=0.8120000000000004, PE=6.550017008415085e-17 after 751 steps
Step: 413 - phi=0.7941858749389652, PE=1.9806897473247968e-16 after 501 steps
Step: 413 - phi=0.8001245117187504, PE=1.934081422976238e-14 after 2539 steps
Step: 413 - phi=0.8120000000000004, PE=0.0 after 179 steps
Step: 413 - phi=0.8017685546875004, PE=8.418472588554644e-14 after 907 steps
Step: 414 - phi=0.8130000000000004, PE=0.0 after 460 steps
Step: 414 - phi=0.8130000000000004, PE=0.0 after 445 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 414 - phi=0.8130000000000004, PE=0.0 after 259 steps
Step: 414 - phi=0.8130000000000004, PE=0.0 after 150 steps
Step: 414 - phi=0.8130000000000004, PE=3.5879276345334227e-07 after 816 steps
Step: 414 - phi=0.794185871124268, PE=1.3665782555370466e-16 after 442 steps
Step: 414 - phi=0.8001242675781255, PE=3.003375191495656e-16 after 3251 steps
Step: 414 - phi=0.8130000000000004, PE=0.0 after 235 steps
Step: 414 - phi=0.8017680664062504, PE=8.105670940277839e-17 after 355 steps
Step: 415 - phi=0.8140000000000004, PE=5.741774604104589e-17 after 441 steps
Step: 415 - phi=0.8140000000000004, PE=0.0 after 374 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 415 - phi=0.8140000000000004, PE=1.1970962669779929e-17 after 636 steps
Step: 415 - phi=0.8140000000000004, PE=0.0 after 129 steps
Step: 415 - phi=0.8125000000000004, PE=8.9386456616347e-08 after 753 steps
Step: 415 - phi=0.7941858692169194, PE=1.1021349841609065e-16 after 604 steps
Step: 415 - phi=0.800124145507813, PE=9.999044990685858e-17 after 2648 steps
Step: 415 - phi=0.8140000000000004, PE=0.0 after 211 steps
Step: 415 - phi=0.8017683105468754, PE=1.6862654790120134e-14 after 783 steps
Step: 416 - phi=0.8150000000000004, PE=0.0 after 288 steps
Step: 416 - phi=0.8150000000000004, PE=0.0 after 302 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 416 - phi=0.8150000000000004, PE=2.0611409487200866e-19 after 429 steps
Step: 416 - phi=0.8150000000000004, PE=6.386025482949435e-17 after 558 steps
Step: 416 - phi=0.8122500000000004, PE=2.2140456550971266e-08 after 772 steps
Step: 416 - phi=0.794185868263245, PE=9.997682577442712e-17 after 111 steps
Step: 416 - phi=0.8001242065429692, PE=9.998920880066574e-17 after 2451 steps
Step: 416 - phi=0.8150000000000004, PE=0.0 after 231 steps
Step: 416 - phi=0.8017681884765628, PE=2.4712188019728143e-15 after 833 steps
Step: 417 - phi=0.8160000000000004, PE=0.0 after 275 steps
Step: 417 - phi=0.8160000000000004, PE=0.0 after 273 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 417 - phi=0.8160000000000004, PE=0.0 after 392 steps
Step: 417 - phi=0.8160000000000004, PE=0.0 after 599 steps
Step: 417 - phi=0.8121250000000004, PE=5.426485247704373e-09 after 793 steps
Step: 417 - phi=0.7941858687400822, PE=1.0404629712737377e-16 after 541 steps
Step: 417 - phi=0.8001242370605474, PE=9.989344210773162e-17 after 2171 steps
Step: 417 - phi=0.8160000000000004, PE=0.0 after 849 steps
Step: 417 - phi=0.8017681274414066, PE=9.738637618356214e-17 after 323 steps
Step: 418 - phi=0.8170000000000004, PE=7.628984062671892e-17 after 449 steps
Step: 418 - phi=0.8170000000000004, PE=7.749806991167929e-18 after 312 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 418 - phi=0.8170000000000004, PE=6.424531312422827e-17 after 370 steps
Step: 418 - phi=0.8170000000000004, PE=3.1005566501797684e-17 after 952 steps
Step: 418 - phi=0.8120625000000004, PE=1.302347260250724e-09 after 853 steps
Step: 418 - phi=0.7941858685016636, PE=1.0102927797371447e-16 after 513 steps
Step: 418 - phi=0.8001242523193364, PE=9.988537516279447e-17 after 1829 steps
Step: 418 - phi=0.8170000000000004, PE=4.382523699233764e-10 after 2667 steps
Step: 418 - phi=0.8017681579589847, PE=8.806125610321308e-16 after 647 steps
Step: 419 - phi=0.8180000000000004, PE=5.255489258021635e-17 after 432 steps
Step: 419 - phi=0.8180000000000004, PE=0.0 after 234 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 419 - phi=0.8180000000000004, PE=4.888945547501903e-10 after 1827 steps
Step: 419 - phi=0.8180000000000004, PE=0.0 after 474 steps
Step: 419 - phi=0.8120312500000004, PE=2.991888670425306e-10 after 745 steps
Step: 419 - phi=0.7941858683824543, PE=9.99895220352417e-17 after 93 steps
Step: 419 - phi=0.8001242599487309, PE=1.8294826682675276e-16 after 1008 steps
Step: 419 - phi=0.8165000000000004, PE=0.0 after 647 steps
Step: 419 - phi=0.8017681427001957, PE=3.863975343844633e-16 after 648 steps
Step: 420 - phi=0.8190000000000004, PE=0.0 after 372 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 420 - phi=0.8190000000000004, PE=8.362825137201034e-17 after 266 steps
Step: 420 - phi=0.8175000000000003, PE=1.1997448445464886e-17 after 960 steps
Step: 420 - phi=0.8190000000000004, PE=0.0 after 402 steps
Step: 420 - phi=0.8120156250000004, PE=6.242464838293599e-11 after 772 steps
Step: 420 - phi=0.794185868442059, PE=1.0028195898313849e-16 after 438 steps
Step: 420 - phi=0.8001242561340336, PE=1.351088020848365e-16 after 1103 steps
Step: 420 - phi=0.8167500000000004, PE=9.686254236502327e-18 after 630 steps
Step: 420 - phi=0.8017681350708011, PE=2.1456205801277517e-16 after 525 steps
Step: 421 - phi=0.8200000000000004, PE=0.0 after 371 steps
Step: 421 - phi=0.8200000000000004, PE=0.0 after 222 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 421 - phi=0.8177500000000004, PE=8.088234776089484e-17 after 707 steps
Step: 421 - phi=0.8200000000000004, PE=0.0 after 379 steps
Step: 421 - phi=0.8120078125000003, PE=1.0257199032297403e-11 after 819 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 421 - phi=0.800124254226685, PE=1.1390285840589933e-16 after 1078 steps
Step: 421 - phi=0.8168750000000005, PE=8.740466849756882e-17 after 614 steps
Step: 421 - phi=0.8017681312561038, PE=1.474623286912213e-16 after 497 steps
Step: 422 - phi=0.8210000000000004, PE=0.0 after 330 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 422 - phi=0.8210000000000004, PE=0.0 after 228 steps
Step: 422 - phi=0.8178750000000004, PE=8.065474388720014e-17 after 596 steps
Step: 422 - phi=0.8210000000000004, PE=0.0 after 313 steps
Step: 422 - phi=0.8120039062500004, PE=7.285037596622637e-13 after 837 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 422 - phi=0.8001242532730106, PE=1.0397833325062405e-16 after 1087 steps
Step: 422 - phi=0.8169375000000004, PE=3.3377479357435553e-17 after 573 steps
Step: 422 - phi=0.8017681293487552, PE=1.186169691960994e-16 after 520 steps
Step: 423 - phi=0.8220000000000004, PE=0.0 after 335 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 423 - phi=0.8220000000000004, PE=0.0 after 206 steps
Step: 423 - phi=0.8179375000000004, PE=0.0 after 586 steps
Step: 423 - phi=0.8220000000000004, PE=1.3194204469661908e-17 after 334 steps
Step: 423 - phi=0.8120019531250005, PE=9.064731289131765e-17 after 597 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 423 - phi=0.8001242527961735, PE=9.998047292130347e-17 after 409 steps
Step: 423 - phi=0.8169687500000005, PE=7.459995876162414e-12 after 2346 steps
Step: 423 - phi=0.8017681283950808, PE=1.05370414376979e-16 after 523 steps
Step: 424 - phi=0.8230000000000004, PE=0.0 after 286 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 424 - phi=0.8230000000000004, PE=0.0 after 248 steps
Step: 424 - phi=0.8179687500000004, PE=8.133207057537732e-12 after 1359 steps
Step: 424 - phi=0.8230000000000004, PE=7.082476602083045e-17 after 361 steps
Step: 424 - phi=0.8120029296875004, PE=7.087815708407009e-14 after 838 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 424 - phi=0.800124253034592, PE=1.0156787475736036e-16 after 668 steps
Step: 424 - phi=0.8169531250000004, PE=6.367271248125106e-17 after 611 steps
Step: 424 - phi=0.8017681279182437, PE=9.996952866697552e-17 after 77 steps
Step: 425 - phi=0.8240000000000004, PE=5.692723808419195e-17 after 485 steps
Step: 425 - phi=0.8240000000000004, PE=0.0 after 263 steps
Step: 425 - phi=0.8179531250000004, PE=7.94551475158754e-17 after 579 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 425 - phi=0.8240000000000004, PE=0.0 after 287 steps
Step: 425 - phi=0.8120024414062504, PE=8.667994604290792e-17 after 509 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 425 - phi=0.8001242529153827, PE=1.0037324405527345e-16 after 715 steps
Step: 425 - phi=0.8169609375000004, PE=8.372676273966947e-17 after 578 steps
Step: 425 - phi=0.8017681281566622, PE=1.0218128839574375e-16 after 518 steps
Step: 426 - phi=0.8250000000000004, PE=9.465105173063997e-17 after 525 steps
Step: 426 - phi=0.8250000000000004, PE=0.0 after 188 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 426 - phi=0.8179609375000003, PE=7.198024272319496e-17 after 560 steps
Step: 426 - phi=0.8250000000000004, PE=0.0 after 279 steps
Step: 426 - phi=0.8120026855468754, PE=1.425768538774209e-14 after 745 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 426 - phi=0.8001242528557782, PE=9.999862946568188e-17 after 158 steps
Step: 426 - phi=0.8169648437500004, PE=2.067103943140596e-13 after 1755 steps
Step: 426 - phi=0.8017681280374529, PE=1.0060510431769644e-16 after 446 steps
Step: 427 - phi=0.8260000000000004, PE=0.0 after 391 steps
Step: 427 - phi=0.8260000000000004, PE=0.0 after 176 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 427 - phi=0.8179648437500003, PE=1.9740708738900765e-13 after 1154 steps
Step: 427 - phi=0.8260000000000004, PE=0.0 after 227 steps
Step: 427 - phi=0.8120025634765629, PE=2.1154043251473557e-15 after 783 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 427 - phi=0.8169628906250004, PE=9.949303354279142e-17 after 554 steps
Step: 427 - phi=0.8017681279778484, PE=9.999913212299303e-17 after 82 steps
Step: 428 - phi=0.8270000000000004, PE=0.0 after 355 steps
Step: 428 - phi=0.8270000000000004, PE=9.623340860917567e-17 after 561 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 428 - phi=0.8179628906250003, PE=8.224429384573907e-17 after 558 steps
Step: 428 - phi=0.8270000000000004, PE=5.733006267780167e-17 after 281 steps
Step: 428 - phi=0.8120025024414066, PE=9.935319117063892e-17 after 445 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 428 - phi=0.8169638671875004, PE=9.490759470834566e-17 after 526 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 429 - phi=0.8280000000000004, PE=8.187652635169679e-17 after 553 steps
Step: 429 - phi=0.8280000000000004, PE=8.536261691115349e-17 after 969 steps
Step: 429 - phi=0.8179638671875002, PE=9.814153566793736e-17 after 546 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 429 - phi=0.8280000000000004, PE=0.0 after 642 steps
Step: 429 - phi=0.8120025329589847, PE=7.639980273736563e-16 after 558 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 429 - phi=0.8169643554687505, PE=2.891841641184305e-14 after 1595 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 430 - phi=0.8290000000000004, PE=1.8671479886472476e-07 after 1902 steps
Step: 430 - phi=0.8290000000000004, PE=1.8671479886474506e-07 after 1973 steps
Step: 430 - phi=0.8179643554687503, PE=2.0550847254626018e-14 after 1043 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 430 - phi=0.8290000000000004, PE=0.0 after 421 steps
Step: 430 - phi=0.8120025177001957, PE=3.4091960803243787e-16 after 512 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 430 - phi=0.8169641113281254, PE=7.702041019534203e-16 after 1368 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 431 - phi=0.8285000000000005, PE=1.4057819721175827e-08 after 2164 steps
Step: 431 - phi=0.8285000000000005, PE=1.4057819721177506e-08 after 2678 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 431 - phi=0.8179641113281253, PE=9.668687089227173e-17 after 524 steps
Step: 431 - phi=0.8300000000000004, PE=0.0 after 332 steps
Step: 431 - phi=0.8120025100708012, PE=1.9253658332189785e-16 after 517 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 431 - phi=0.8169639892578129, PE=9.870079789565063e-17 after 524 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 432 - phi=0.8282500000000004, PE=1.170925248637924e-18 after 942 steps
Step: 432 - phi=0.8282500000000004, PE=0.0 after 966 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 432 - phi=0.8179642333984378, PE=4.640087640829949e-15 after 928 steps
Step: 432 - phi=0.8310000000000004, PE=4.893072017517381e-17 after 292 steps
Step: 432 - phi=0.8120025062561038, PE=1.3413412094240641e-16 after 537 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 432 - phi=0.8169640502929691, PE=9.993137210410126e-17 after 472 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 433 - phi=0.8283750000000004, PE=1.6099285315721528e-09 after 1589 steps
Step: 433 - phi=0.8283750000000004, PE=1.6099285315714156e-09 after 2269 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 433 - phi=0.8179641723632816, PE=9.302154960469791e-16 after 969 steps
Step: 433 - phi=0.8320000000000004, PE=0.0 after 256 steps
Step: 433 - phi=0.8120025043487552, PE=1.0888015487519238e-16 after 598 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 433 - phi=0.8169640808105473, PE=9.999388026961346e-17 after 698 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 434 - phi=0.8283125000000005, PE=8.00133102936712e-13 after 5426 steps
Step: 434 - phi=0.8283125000000005, PE=8.001331030514946e-13 after 8782 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 434 - phi=0.8179641418457034, PE=1.3665734437540754e-16 after 1014 steps
Step: 434 - phi=0.8330000000000004, PE=0.0 after 264 steps
Step: 434 - phi=0.8120025033950808, PE=9.989180408129794e-17 after 119 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 434 - phi=0.8169640960693363, PE=3.5564925288890764e-16 after 1453 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 435 - phi=0.8282812500000004, PE=7.666194139538168e-17 after 866 steps
Step: 435 - phi=0.8282812500000004, PE=9.15803129084582e-17 after 871 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 435 - phi=0.8179641265869144, PE=9.908266225737922e-17 after 332 steps
Step: 435 - phi=0.8340000000000004, PE=9.871929014574122e-08 after 875 steps
Step: 435 - phi=0.8120025038719181, PE=1.0297783491816514e-16 after 447 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 435 - phi=0.8169640884399418, PE=2.076976919961097e-16 after 987 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 436 - phi=0.8282968750000004, PE=8.195782813965855e-17 after 775 steps
Step: 436 - phi=0.8282968750000004, PE=5.955720224945252e-17 after 760 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 436 - phi=0.8179641342163089, PE=9.993308937635996e-17 after 279 steps
Step: 436 - phi=0.8335000000000004, PE=1.6035042032492107e-10 after 932 steps
Step: 436 - phi=0.8120025036334995, PE=1.0008835159968163e-16 after 498 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 436 - phi=0.8169640846252446, PE=1.4855338815289444e-16 after 1074 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 437 - phi=0.8283046875000004, PE=6.625027244438393e-17 after 793 steps
Step: 437 - phi=0.8283046875000004, PE=6.492734543659465e-17 after 789 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 437 - phi=0.8179641380310061, PE=9.969183628257773e-17 after 216 steps
Step: 437 - phi=0.8332500000000004, PE=0.0 after 230 steps
Step: 437 - phi=0.8120025035142902, PE=9.996105161924992e-17 after 60 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 437 - phi=0.8169640827178959, PE=1.226891076599875e-16 after 897 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 438 - phi=0.8283085937500004, PE=8.453089882065185e-17 after 725 steps
Step: 438 - phi=0.8283085937500004, PE=8.649123903932832e-17 after 755 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 438 - phi=0.8179641399383548, PE=1.1055401488693981e-16 after 720 steps
Step: 438 - phi=0.8333750000000004, PE=0.0 after 236 steps
Step: 438 - phi=0.8120025035738948, PE=9.998434778194348e-17 after 60 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 438 - phi=0.8169640817642216, PE=1.1068393497067389e-16 after 948 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 439 - phi=0.8283105468750005, PE=8.219068761461262e-17 after 749 steps
Step: 439 - phi=0.8283105468750005, PE=9.387812741781364e-17 after 739 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 439 - phi=0.8179641389846805, PE=9.996676821437966e-17 after 124 steps
Step: 439 - phi=0.8334375000000004, PE=1.748696762637391e-18 after 215 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 439 - phi=0.8169640812873844, PE=1.0491308974206245e-16 after 923 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 440 - phi=0.8283115234375005, PE=7.924049878532818e-14 after 7796 steps
Step: 440 - phi=0.8283115234375005, PE=7.92404987620721e-14 after 13191 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 440 - phi=0.8179641394615176, PE=1.0446005745062766e-16 after 723 steps
Step: 440 - phi=0.8334687500000004, PE=0.0 after 217 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 440 - phi=0.8169640810489658, PE=1.0208560402963739e-16 after 558 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 441 - phi=0.8283110351562505, PE=8.960316252217684e-17 after 722 steps
Step: 441 - phi=0.8283110351562505, PE=9.993754459151811e-17 after 25251 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 441 - phi=0.817964139223099, PE=1.0147785796965781e-16 after 510 steps
Step: 441 - phi=0.8334843750000004, PE=1.0446767414785273e-11 after 795 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 441 - phi=0.8169640809297565, PE=1.0068634365803876e-16 after 875 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 442 - phi=0.8283112792968754, PE=1.6446907275572108e-14 after 10115 steps
Step: 442 - phi=0.8283112792968754, PE=1.644690727397799e-14 after 11782 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 442 - phi=0.8179641391038897, PE=1.0000295601320196e-16 after 660 steps
Step: 442 - phi=0.8334765625000005, PE=9.074406466123317e-17 after 242 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 442 - phi=0.8169640808701519, PE=9.999974518709616e-17 after 335 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 443 - phi=0.8283111572265629, PE=2.6646003351670246e-15 after 14329 steps
Step: 443 - phi=0.8283111572265629, PE=2.664600333200368e-15 after 16219 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 443 - phi=0.8179641390442851, PE=9.998125385242096e-17 after 52 steps
Step: 443 - phi=0.8334804687500004, PE=7.645214281624914e-13 after 752 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 444 - phi=0.8283110961914066, PE=1.770734300319665e-16 after 20889 steps
Step: 444 - phi=0.8283110961914066, PE=1.7707343106506348e-16 after 22346 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 444 - phi=0.8334785156250004, PE=6.833282011493465e-17 after 205 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 445 - phi=0.8283110656738286, PE=9.999736404797409e-17 after 16977 steps
Step: 445 - phi=0.8283110656738286, PE=9.998449688609398e-17 after 20654 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 445 - phi=0.8334794921875004, PE=8.117957782030974e-14 after 650 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 446 - phi=0.8283110809326176, PE=9.999249039907292e-17 after 17345 steps
Step: 446 - phi=0.8283110809326176, PE=9.999149365207234e-17 after 17345 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 446 - phi=0.8334790039062504, PE=8.463303739554333e-17 after 202 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 447 - phi=0.8283110885620122, PE=9.999758301817342e-17 after 13832 steps
Step: 447 - phi=0.8283110885620122, PE=9.999697734497877e-17 after 13832 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 447 - phi=0.8334792480468753, PE=1.8922146845513925e-14 after 741 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 448 - phi=0.8283110923767094, PE=1.190791532064835e-16 after 8706 steps
Step: 448 - phi=0.8283110923767094, PE=1.190791530400825e-16 after 8633 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 448 - phi=0.8334791259765628, PE=4.080206963445504e-15 after 609 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 449 - phi=0.8283110904693608, PE=9.999777410585375e-17 after 7775 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 449 - phi=0.8283110904693608, PE=9.99972260796269e-17 after 7775 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 449 - phi=0.8334790649414066, PE=7.309365498122935e-16 after 566 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 450 - phi=0.8283110914230352, PE=1.0637242337861988e-16 after 4141 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 450 - phi=0.8283110914230352, PE=1.063724237984224e-16 after 4167 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 450 - phi=0.8334790344238285, PE=9.682149239203087e-17 after 152 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 451 - phi=0.8283110909461979, PE=1.0028783551028012e-16 after 4353 steps
Step: 451 - phi=0.8283110909461979, PE=1.002878350994116e-16 after 4282 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 451 - phi=0.8334790496826175, PE=3.177545972686078e-16 after 458 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 452 - phi=0.8283110907077793, PE=9.999961002170786e-17 after 2875 steps
Step: 452 - phi=0.8283110907077793, PE=9.999907058085203e-17 after 2875 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 452 - phi=0.833479042053223, PE=1.7478397983783014e-16 after 505 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 453 - phi=0.8283110908269886, PE=9.999910684580216e-17 after 2048 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 453 - phi=0.8283110908269886, PE=9.999857189108536e-17 after 2048 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 453 - phi=0.8334790382385258, PE=1.192037639232315e-16 after 444 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 454 - phi=0.8283110908865933, PE=9.999919835383151e-17 after 1457 steps
Step: 454 - phi=0.8283110908865933, PE=9.999971436839519e-17 after 1456 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 454 - phi=0.8334790363311771, PE=9.990729759092592e-17 after 75 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 455 - phi=0.8283110909163955, PE=9.999953104385546e-17 after 1037 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 455 - phi=0.8283110909163955, PE=9.999930381995668e-17 after 1038 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 455 - phi=0.8334790372848515, PE=1.0696549344167141e-16 after 452 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 455 - phi=0.8283110909163955, PE=9.999953104385546e-17 after 1037 steps
Step: 455 - phi=0.8283110909163955, PE=9.999930381995668e-17 after 1038 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 456 - phi=0.8334790368080143, PE=1.0109486980631687e-16 after 447 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 455 - phi=0.8283110909163955, PE=9.999953104385546e-17 after 1037 steps
Step: 455 - phi=0.8283110909163955, PE=9.999930381995668e-17 after 1038 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 457 - phi=0.8334790365695957, PE=9.993045305368826e-17 after 67 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 455 - phi=0.8283110909163955, PE=9.999953104385546e-17 after 1037 steps
Step: 455 - phi=0.8283110909163955, PE=9.999930381995668e-17 after 1038 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 458 - phi=0.833479036688805, PE=9.999903226858232e-17 after 75 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Step: 455 - phi=0.8283110909163955, PE=9.999953104385546e-17 after 1037 steps
Step: 455 - phi=0.8283110909163955, PE=9.999930381995668e-17 after 1038 steps
Step: 410 - phi=0.783664767891169, PE=9.999930595705236e-17 after 85 steps
Step: 444 - phi=0.8179641390740874, PE=9.999266509454364e-17 after 58 steps
Step: 459 - phi=0.8334790367484096, PE=1.0037269242872088e-16 after 437 steps
Step: 439 - phi=0.8120025036036971, PE=9.999062635628236e-17 after 63 steps
Step: 421 - phi=0.7941858684122567, PE=9.999866868148695e-17 after 92 steps
Step: 427 - phi=0.8001242528855804, PE=1.0007569137706073e-16 after 581 steps
Step: 443 - phi=0.8169640808999542, PE=1.0033803800231145e-16 after 828 steps
Step: 428 - phi=0.8017681280076506, PE=1.00212972277623e-16 after 546 steps
Final potential energy: [1.00372692e-16 9.99843478e-17 1.00281959e-16 9.99986295e-17
9.99997452e-17 9.99991321e-17 1.00155640e-16 9.99991984e-17
9.99997144e-17 9.99812539e-17]
Final packing fraction: [0.83347904 0.8120025 0.79418587 0.80012425 0.81696408 0.80176813
0.78366477 0.82831109 0.82831109 0.81796414]
Run the Jamming Algorithm for a Single System#
We can also run the jamming algorithm on a single system by passing the state and system to the jamming function. This is likely slightly more convenient.
state, system = build_microstate(0)
state, system, final_pf, final_pe = jd.utils.jamming.bisection_jam(state, system)
print(f"Final potential energy: {final_pe}")
print(f"Final packing fraction: {final_pf}")
Initial minimization took 56 steps.
Step: 1 - phi=0.4000000000000001, PE=0.0 after 1 steps
Step: 2 - phi=0.4010000000000001, PE=0.0 after 1 steps
Step: 3 - phi=0.4020000000000001, PE=0.0 after 1 steps
Step: 4 - phi=0.4030000000000001, PE=0.0 after 1 steps
Step: 5 - phi=0.4040000000000001, PE=0.0 after 1 steps
Step: 6 - phi=0.4050000000000001, PE=0.0 after 1 steps
Step: 7 - phi=0.4060000000000001, PE=0.0 after 1 steps
Step: 8 - phi=0.4070000000000001, PE=0.0 after 1 steps
Step: 9 - phi=0.4080000000000001, PE=0.0 after 1 steps
Step: 10 - phi=0.4090000000000001, PE=0.0 after 43 steps
Step: 11 - phi=0.4100000000000001, PE=0.0 after 43 steps
Step: 12 - phi=0.4110000000000001, PE=0.0 after 43 steps
Step: 13 - phi=0.4120000000000001, PE=0.0 after 43 steps
Step: 14 - phi=0.4130000000000001, PE=0.0 after 43 steps
Step: 15 - phi=0.4140000000000001, PE=0.0 after 43 steps
Step: 16 - phi=0.4150000000000001, PE=0.0 after 43 steps
Step: 17 - phi=0.4160000000000001, PE=0.0 after 43 steps
Step: 18 - phi=0.4170000000000001, PE=0.0 after 43 steps
Step: 19 - phi=0.4180000000000001, PE=0.0 after 43 steps
Step: 20 - phi=0.4190000000000001, PE=0.0 after 43 steps
Step: 21 - phi=0.4200000000000001, PE=0.0 after 43 steps
Step: 22 - phi=0.4210000000000001, PE=0.0 after 43 steps
Step: 23 - phi=0.4220000000000001, PE=0.0 after 43 steps
Step: 24 - phi=0.4230000000000001, PE=0.0 after 43 steps
Step: 25 - phi=0.4240000000000001, PE=0.0 after 43 steps
Step: 26 - phi=0.4250000000000001, PE=0.0 after 43 steps
Step: 27 - phi=0.4260000000000001, PE=0.0 after 43 steps
Step: 28 - phi=0.4270000000000001, PE=0.0 after 43 steps
Step: 29 - phi=0.4280000000000001, PE=0.0 after 43 steps
Step: 30 - phi=0.4290000000000001, PE=0.0 after 43 steps
Step: 31 - phi=0.4300000000000001, PE=0.0 after 43 steps
Step: 32 - phi=0.4310000000000001, PE=0.0 after 43 steps
Step: 33 - phi=0.4320000000000001, PE=0.0 after 43 steps
Step: 34 - phi=0.4330000000000001, PE=0.0 after 43 steps
Step: 35 - phi=0.4340000000000001, PE=0.0 after 43 steps
Step: 36 - phi=0.4350000000000001, PE=0.0 after 43 steps
Step: 37 - phi=0.4360000000000001, PE=0.0 after 43 steps
Step: 38 - phi=0.4370000000000001, PE=0.0 after 43 steps
Step: 39 - phi=0.4380000000000001, PE=0.0 after 43 steps
Step: 40 - phi=0.4390000000000001, PE=0.0 after 43 steps
Step: 41 - phi=0.4400000000000001, PE=0.0 after 43 steps
Step: 42 - phi=0.4410000000000001, PE=0.0 after 43 steps
Step: 43 - phi=0.4420000000000001, PE=0.0 after 43 steps
Step: 44 - phi=0.4430000000000001, PE=0.0 after 43 steps
Step: 45 - phi=0.4440000000000001, PE=0.0 after 43 steps
Step: 46 - phi=0.4450000000000001, PE=0.0 after 43 steps
Step: 47 - phi=0.4460000000000001, PE=0.0 after 43 steps
Step: 48 - phi=0.4470000000000001, PE=0.0 after 43 steps
Step: 49 - phi=0.4480000000000001, PE=0.0 after 42 steps
Step: 50 - phi=0.4490000000000001, PE=0.0 after 42 steps
Step: 51 - phi=0.4500000000000001, PE=0.0 after 42 steps
Step: 52 - phi=0.4510000000000001, PE=0.0 after 42 steps
Step: 53 - phi=0.4520000000000001, PE=0.0 after 73 steps
Step: 54 - phi=0.4530000000000001, PE=0.0 after 48 steps
Step: 55 - phi=0.4540000000000001, PE=0.0 after 49 steps
Step: 56 - phi=0.4550000000000001, PE=0.0 after 49 steps
Step: 57 - phi=0.4560000000000001, PE=0.0 after 49 steps
Step: 58 - phi=0.45700000000000013, PE=0.0 after 49 steps
Step: 59 - phi=0.45800000000000013, PE=0.0 after 49 steps
Step: 60 - phi=0.45900000000000013, PE=0.0 after 49 steps
Step: 61 - phi=0.46000000000000013, PE=0.0 after 49 steps
Step: 62 - phi=0.46100000000000013, PE=0.0 after 49 steps
Step: 63 - phi=0.46200000000000013, PE=0.0 after 49 steps
Step: 64 - phi=0.46300000000000013, PE=0.0 after 49 steps
Step: 65 - phi=0.46400000000000013, PE=0.0 after 49 steps
Step: 66 - phi=0.46500000000000014, PE=0.0 after 49 steps
Step: 67 - phi=0.46600000000000014, PE=0.0 after 49 steps
Step: 68 - phi=0.46700000000000014, PE=0.0 after 49 steps
Step: 69 - phi=0.46800000000000014, PE=0.0 after 49 steps
Step: 70 - phi=0.46900000000000014, PE=0.0 after 49 steps
Step: 71 - phi=0.47000000000000014, PE=0.0 after 49 steps
Step: 72 - phi=0.47100000000000014, PE=0.0 after 49 steps
Step: 73 - phi=0.47200000000000014, PE=0.0 after 49 steps
Step: 74 - phi=0.47300000000000014, PE=0.0 after 49 steps
Step: 75 - phi=0.47400000000000014, PE=0.0 after 49 steps
Step: 76 - phi=0.47500000000000014, PE=0.0 after 49 steps
Step: 77 - phi=0.47600000000000015, PE=0.0 after 49 steps
Step: 78 - phi=0.47700000000000015, PE=0.0 after 49 steps
Step: 79 - phi=0.47800000000000015, PE=0.0 after 49 steps
Step: 80 - phi=0.47900000000000015, PE=0.0 after 49 steps
Step: 81 - phi=0.48000000000000015, PE=0.0 after 49 steps
Step: 82 - phi=0.48100000000000015, PE=0.0 after 49 steps
Step: 83 - phi=0.48200000000000015, PE=0.0 after 49 steps
Step: 84 - phi=0.48300000000000015, PE=0.0 after 49 steps
Step: 85 - phi=0.48400000000000015, PE=0.0 after 49 steps
Step: 86 - phi=0.48500000000000015, PE=0.0 after 49 steps
Step: 87 - phi=0.48600000000000015, PE=0.0 after 77 steps
Step: 88 - phi=0.48700000000000015, PE=0.0 after 50 steps
Step: 89 - phi=0.48800000000000016, PE=0.0 after 50 steps
Step: 90 - phi=0.48900000000000016, PE=0.0 after 50 steps
Step: 91 - phi=0.49000000000000016, PE=0.0 after 50 steps
Step: 92 - phi=0.49100000000000016, PE=0.0 after 50 steps
Step: 93 - phi=0.49200000000000016, PE=0.0 after 50 steps
Step: 94 - phi=0.49300000000000016, PE=0.0 after 50 steps
Step: 95 - phi=0.49400000000000016, PE=0.0 after 50 steps
Step: 96 - phi=0.49500000000000016, PE=0.0 after 50 steps
Step: 97 - phi=0.49600000000000016, PE=0.0 after 50 steps
Step: 98 - phi=0.49700000000000016, PE=0.0 after 50 steps
Step: 99 - phi=0.49800000000000016, PE=0.0 after 50 steps
Step: 100 - phi=0.49900000000000017, PE=0.0 after 50 steps
Step: 101 - phi=0.5000000000000001, PE=0.0 after 50 steps
Step: 102 - phi=0.5010000000000001, PE=0.0 after 50 steps
Step: 103 - phi=0.5020000000000001, PE=0.0 after 50 steps
Step: 104 - phi=0.5030000000000001, PE=0.0 after 50 steps
Step: 105 - phi=0.5040000000000001, PE=0.0 after 50 steps
Step: 106 - phi=0.5050000000000001, PE=0.0 after 49 steps
Step: 107 - phi=0.5060000000000001, PE=0.0 after 49 steps
Step: 108 - phi=0.5070000000000001, PE=0.0 after 49 steps
Step: 109 - phi=0.5080000000000001, PE=0.0 after 49 steps
Step: 110 - phi=0.5090000000000001, PE=0.0 after 49 steps
Step: 111 - phi=0.5100000000000001, PE=0.0 after 49 steps
Step: 112 - phi=0.5110000000000001, PE=0.0 after 49 steps
Step: 113 - phi=0.5120000000000001, PE=0.0 after 49 steps
Step: 114 - phi=0.5130000000000001, PE=0.0 after 49 steps
Step: 115 - phi=0.5140000000000001, PE=0.0 after 49 steps
Step: 116 - phi=0.5150000000000001, PE=0.0 after 49 steps
Step: 117 - phi=0.5160000000000001, PE=0.0 after 49 steps
Step: 118 - phi=0.5170000000000001, PE=0.0 after 49 steps
Step: 119 - phi=0.5180000000000001, PE=0.0 after 49 steps
Step: 120 - phi=0.5190000000000001, PE=0.0 after 49 steps
Step: 121 - phi=0.5200000000000001, PE=0.0 after 49 steps
Step: 122 - phi=0.5210000000000001, PE=0.0 after 49 steps
Step: 123 - phi=0.5220000000000001, PE=0.0 after 49 steps
Step: 124 - phi=0.5230000000000001, PE=0.0 after 49 steps
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Step: 444 - phi=0.8334785156250004, PE=6.833282011493465e-17 after 205 steps
Step: 445 - phi=0.8334794921875004, PE=8.117957782030974e-14 after 650 steps
Step: 446 - phi=0.8334790039062504, PE=8.463303739554333e-17 after 202 steps
Step: 447 - phi=0.8334792480468753, PE=1.8922146845513925e-14 after 741 steps
Step: 448 - phi=0.8334791259765628, PE=4.080206963445504e-15 after 609 steps
Step: 449 - phi=0.8334790649414066, PE=7.309365498122935e-16 after 566 steps
Step: 450 - phi=0.8334790344238285, PE=9.682149239203087e-17 after 152 steps
Step: 451 - phi=0.8334790496826175, PE=3.177545972686078e-16 after 458 steps
Step: 452 - phi=0.833479042053223, PE=1.7478397983783014e-16 after 505 steps
Step: 453 - phi=0.8334790382385258, PE=1.192037639232315e-16 after 444 steps
Step: 454 - phi=0.8334790363311771, PE=9.990729759092592e-17 after 75 steps
Step: 455 - phi=0.8334790372848515, PE=1.0696549344167141e-16 after 452 steps
Step: 456 - phi=0.8334790368080143, PE=1.0109486980631687e-16 after 447 steps
Step: 457 - phi=0.8334790365695957, PE=9.993045305368826e-17 after 67 steps
Step: 458 - phi=0.833479036688805, PE=9.999903226858232e-17 after 75 steps
Step: 459 - phi=0.8334790367484096, PE=1.0037269242872088e-16 after 437 steps
Final potential energy: 1.0037269242872088e-16
Final packing fraction: 0.8334790367186073
Total running time of the script: (0 minutes 20.554 seconds)