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from time import perf_counter as pc
import matplotlib.pyplot as plt
import numpy as np
import numexpr as ne
# geomspace seems to be very slow, just a warning about setting `n` too high.
# n = 2**24
n = 4096
x = np.geomspace(7.8e-10, 7.8e0, n)
# x = np.zeros(n)
y = np.geomspace(2.3e-10j, 2.3e0j, n)
z = x + y
# Check to see if we have MKL or not (we don't want MKL here)
ne.print_versions()
# Spin up NumExpr before benchmarking
z0 = z[:1024]
outx = ne.evaluate('exp(z0)')
out = ne.evaluate('expm1(z0)')
# Benchmark the options
t0 = pc()
np_out = np.expm1(z)
t1 = pc()
for I in range(30):
ne_out = ne.evaluate('expm1(z)')
t2 = pc()
for I in range(30):
nex_out = ne.evaluate('exp(z)')
t3 = pc()
print(f'NumPy evaluated in {t1-t0:.3f} s')
print(f'NumExpr (old) evaluated in {t2-t1:.3f} s')
print(f'NumExpr (new) evaluated in {t3-t2:.3f} s')
print(f'Slow-down: {(t3-t2)/(t2-t1)}')
if n <= 4096:
plt.figure()
plt.plot(z, np_out.imag, label='np')
plt.plot(z, ne_out.imag, label='ne')
plt.plot(z, nex_out.imag, label='nex')
plt.legend()
if ne.use_vml:
plt.title('im(Expm1(z)) w/ MKL')
else:
plt.title('im(Expm1(z)) w/o MKL')
plt.figure()
plt.semilogy(z, 1.0 + np.abs(ne_out.real - np_out.real), label='ne')
plt.semilogy(z, 1.0 + np.abs(nex_out.real - np_out.real), label='nex')
plt.legend()
if ne.use_vml:
plt.title('|re(nerenp)| w/ MKL')
else:
plt.title('|re(ne)-re(np)| w/o MKL')
plt.figure()
plt.semilogy(z, 1.0 + np.abs(ne_out.imag - np_out.imag), label='ne')
plt.semilogy(z, 1.0 + np.abs(nex_out.imag - np_out.imag), label='nex')
plt.legend()
if ne.use_vml:
plt.title('|im(ne)-im(np)| w/ MKL')
else:
plt.title('|im(ne)-im(np)| w/o MKL')
plt.figure()
plt.semilogy(z, 1.0 + np.abs(ne_out) - np.abs(np_out), label='ne')
plt.semilogy(z, 1.0 + np.abs(nex_out) - np.abs(np_out), label='nex')
plt.legend()
if ne.use_vml:
plt.title('|ne|-|np| w/ MKL')
else:
plt.title('|ne|-|np| w/o MKL')
plt.show()
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