From 75d8b2ac0882a965cfa24ffa15d8dbba0b236a15 Mon Sep 17 00:00:00 2001
From: Gregory Ashton <gregory.ashton@ligo.org>
Date: Sun, 13 May 2018 17:29:04 +1000
Subject: [PATCH] Add access to dynamic nested sampling through dynesty

---
 examples/tutorials/compare_samplers.ipynb | 321 +++++++++++++---------
 tupak/sampler.py                          |  21 +-
 2 files changed, 207 insertions(+), 135 deletions(-)

diff --git a/examples/tutorials/compare_samplers.ipynb b/examples/tutorials/compare_samplers.ipynb
index dd65a7cbf..3a9087338 100644
--- a/examples/tutorials/compare_samplers.ipynb
+++ b/examples/tutorials/compare_samplers.ipynb
@@ -13,14 +13,15 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "09:49 INFO    : Setting H1 data using noise realization from providedpower_spectal_density\n"
+      "17:13 INFO    : Setting H1 data using noise realization from providedpower_spectal_density\n",
+      "17:13 INFO    : Injection found with optimal SNR = 223.94 and matched filter SNR = 224.33 in H1\n"
      ]
     }
    ],
@@ -28,7 +29,8 @@
     "import numpy as np\n",
     "import pylab as plt\n",
     "\n",
-    "%matplotlib inline\n",
+    "%load_ext autoreload\n",
+    "%autoreload 2\n",
     "\n",
     "import tupak\n",
     "\n",
@@ -50,7 +52,7 @@
     "\n",
     "hf_signal = waveform_generator.frequency_domain_strain()\n",
     "\n",
-    "H1 = tupak.detector.H1\n",
+    "H1 = tupak.detector.get_empty_interferometer('H1')\n",
     "H1.set_data(sampling_frequency=sampling_frequency, duration=time_duration,\n",
     "            from_power_spectral_density=True)\n",
     "H1.inject_signal(waveform_polarizations=hf_signal, parameters=injection_parameters)\n",
@@ -71,14 +73,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "09:49 INFO    : Expected parameter waveform_approximant to be a float or int but was <type 'str'> instead. Will not be converted.\n"
+      "17:13 INFO    : Expected parameter waveform_approximant to be a float or int but was <type 'str'> instead. Will not be converted.\n"
      ]
     }
    ],
@@ -97,62 +99,60 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
-   "metadata": {},
+   "execution_count": 3,
+   "metadata": {
+    "scrolled": false
+   },
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "09:49 WARNING : waveform_approximant cannot be converted to delta function prior.\n",
-      "09:49 WARNING : If required the default prior will be used.\n",
-      "09:49 INFO    : Search parameters:\n",
-      "09:49 INFO    :   ra ~ Uniform(support=6.28318530718, minimum=0, name=ra, maximum=6.28318530718, _Prior__latex_label=$\\mathrm{RA}$)\n",
-      "09:49 INFO    :   dec ~ Uniform(support=3.14159265359, minimum=-1.57079632679, name=dec, maximum=1.57079632679, _Prior__latex_label=$\\mathrm{DEC}$)\n",
-      "09:49 INFO    :   psi = 2.659\n",
-      "09:49 INFO    :   a_2 = 0\n",
-      "09:49 INFO    :   a_1 = 0\n",
-      "09:49 INFO    :   geocent_time = 1126259642.41\n",
-      "09:49 INFO    :   reference_frequency = 50.0\n",
-      "09:49 INFO    :   phi_jl = 0\n",
-      "09:49 INFO    :   phase = 1.3\n",
-      "09:49 INFO    :   mass_2 = 29.0\n",
-      "09:49 INFO    :   mass_1 = 36.0\n",
-      "09:49 INFO    :   phi_12 = 0\n",
-      "09:49 INFO    :   luminosity_distance = 100.0\n",
-      "09:49 INFO    :   tilt_2 = 0\n",
-      "09:49 INFO    :   iota = 0.4\n",
-      "09:49 INFO    :   tilt_1 = 0\n",
-      "09:49 INFO    : Using sampler Pymultinest with kwargs {'importance_nested_sampling': False, 'verbose': False, 'resume': False, 'sampling_efficiency': 'parameter', 'outputfiles_basename': 'outdir/pymultinest_pymultinest/', 'n_live_points': 200}\n"
+      "17:13 WARNING : waveform_approximant cannot be converted to delta function prior.\n",
+      "17:13 WARNING : If required the default prior will be used.\n",
+      "17:13 INFO    : Writing priors to outdir/prior.txt\n",
+      "17:13 INFO    : Search parameters:\n",
+      "17:13 INFO    :   ra ~ Uniform(support=6.28318530718, minimum=0, name=ra, maximum=6.28318530718, _Prior__latex_label=$\\mathrm{RA}$)\n",
+      "17:13 INFO    :   dec ~ Uniform(support=3.14159265359, minimum=-1.57079632679, name=dec, maximum=1.57079632679, _Prior__latex_label=$\\mathrm{DEC}$)\n",
+      "17:13 INFO    :   psi = 2.659\n",
+      "17:13 INFO    :   a_2 = 0\n",
+      "17:13 INFO    :   a_1 = 0\n",
+      "17:13 INFO    :   geocent_time = 1126259642.41\n",
+      "17:13 INFO    :   reference_frequency = 50.0\n",
+      "17:13 INFO    :   phi_jl = 0\n",
+      "17:13 INFO    :   phase = 1.3\n",
+      "17:13 INFO    :   mass_2 = 29.0\n",
+      "17:13 INFO    :   mass_1 = 36.0\n",
+      "17:13 INFO    :   phi_12 = 0\n",
+      "17:13 INFO    :   luminosity_distance = 100.0\n",
+      "17:13 INFO    :   tilt_2 = 0\n",
+      "17:13 INFO    :   iota = 0.4\n",
+      "17:13 INFO    :   tilt_1 = 0\n",
+      "17:13 INFO    : Using sampler Pymultinest with kwargs {'importance_nested_sampling': False, 'verbose': False, 'resume': False, 'sampling_efficiency': 'parameter', 'outputfiles_basename': 'outdir/pymultinest_pymultinest/', 'n_live_points': 200}\n",
+      "17:14 INFO    : Renaming existing file outdir/pymultinest_result.h5 to outdir/pymultinest_result.h5.old\n",
+      "17:14 INFO    : Saving result to outdir/pymultinest_result.h5\n",
+      "17:14 WARNING : Parameter $\\mathrm{RA}$ in chain pymultinest is not constrained\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Writing priors to outdir/prior.txt\n"
+      "  analysing data from outdir/pymultinest_pymultinest/.txt\n"
      ]
     },
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "09:49 INFO    : Renaming existing file outdir/pymultinest_result.h5 to outdir/pymultinest_result.h5.old\n",
-      "09:49 INFO    : Saving result to outdir/pymultinest_result.h5\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "  analysing data from outdir/pymultinest_pymultinest/.txt\n"
+      "17:14 WARNING : Parameter $\\mathrm{DEC}$ in chain pymultinest is not constrained\n"
      ]
     },
     {
      "data": {
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Fz/3uAP+5tpNvXlN4zGv+/vFmblkQ4JIq71ns7dmh+WADP7r/n2hubOBLX/1muqyxgeKy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Ze/76wmz+z45e1LJ8NE8f9llX4d/yO8yZJQhrGnp/E475H0HJHkAlD2NkECU9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\nEgAAAAVJREFUB1Oqpc3FXguCAAAAAElFTkSuQmCC\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fcd4294d190>"
+       "<matplotlib.figure.Figure at 0x7f87e93f2190>"
       ]
      },
      "metadata": {},
@@ -162,13 +162,13 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "nsamples: 186\n",
-      "noise_logz: -27681.688\n",
-      "logz: -2143.922 +/-  0.252\n",
-      "log_bayes_factor: 25537.767 +/-  0.252\n",
+      "nsamples: 35\n",
+      "noise_logz: -27238.584\n",
+      "logz: -2015.254 +/-  0.283\n",
+      "log_bayes_factor: 25223.330 +/-  0.283\n",
       "\n",
-      "CPU times: user 11.9 s, sys: 1.1 s, total: 13 s\n",
-      "Wall time: 13.1 s\n"
+      "CPU times: user 12.7 s, sys: 1.08 s, total: 13.8 s\n",
+      "Wall time: 14.2 s\n"
      ]
     }
    ],
@@ -191,57 +191,126 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "09:49 WARNING : No default prior found for unspecified variable waveform_approximant.\n",
-      "09:49 WARNING : This variable will NOT be sampled.\n",
-      "09:49 INFO    : Search parameters:\n",
-      "09:49 INFO    :   ra ~ Uniform(support=6.28318530718, minimum=0, name=ra, maximum=6.28318530718, _Prior__latex_label=$\\mathrm{RA}$)\n",
-      "09:49 INFO    :   dec ~ Uniform(support=3.14159265359, minimum=-1.57079632679, name=dec, maximum=1.57079632679, _Prior__latex_label=$\\mathrm{DEC}$)\n",
-      "09:49 INFO    :   psi = 2.659\n",
-      "09:49 INFO    :   a_2 = 0\n",
-      "09:49 INFO    :   a_1 = 0\n",
-      "09:49 INFO    :   geocent_time = 1126259642.41\n",
-      "09:49 INFO    :   reference_frequency = 50.0\n",
-      "09:49 INFO    :   phi_jl = 0\n",
-      "09:49 INFO    :   phase = 1.3\n",
-      "09:49 INFO    :   mass_2 = 29.0\n",
-      "09:49 INFO    :   mass_1 = 36.0\n",
-      "09:49 INFO    :   phi_12 = 0\n",
-      "09:49 INFO    :   luminosity_distance = 100.0\n",
-      "09:49 INFO    :   tilt_2 = 0\n",
-      "09:49 INFO    :   iota = 0.4\n",
-      "09:49 INFO    :   tilt_1 = 0\n",
-      "09:49 INFO    : Using sampler Dynesty with kwargs {'dlogz': 0.1, 'verbose': False, 'bound': 'multi', 'sample': 'rwalk', 'walks': 1, 'npoints': 200, 'update_interval': 100}\n"
+      "17:14 INFO    : Supplied PDF is not normalised, normalising.\n",
+      "17:14 WARNING : No default prior found for unspecified variable waveform_approximant.\n",
+      "17:14 WARNING : This variable will NOT be sampled.\n",
+      "17:14 INFO    : Writing priors to outdir/prior.txt\n",
+      "17:14 INFO    : Search parameters:\n",
+      "17:14 INFO    :   ra ~ Uniform(support=6.28318530718, minimum=0, name=ra, maximum=6.28318530718, _Prior__latex_label=$\\mathrm{RA}$)\n",
+      "17:14 INFO    :   dec ~ Uniform(support=3.14159265359, minimum=-1.57079632679, name=dec, maximum=1.57079632679, _Prior__latex_label=$\\mathrm{DEC}$)\n",
+      "17:14 INFO    :   psi = 2.659\n",
+      "17:14 INFO    :   a_2 = 0\n",
+      "17:14 INFO    :   a_1 = 0\n",
+      "17:14 INFO    :   geocent_time = 1126259642.41\n",
+      "17:14 INFO    :   reference_frequency = 50.0\n",
+      "17:14 INFO    :   phi_jl = 0\n",
+      "17:14 INFO    :   phase = 1.3\n",
+      "17:14 INFO    :   mass_2 = 29.0\n",
+      "17:14 INFO    :   mass_1 = 36.0\n",
+      "17:14 INFO    :   phi_12 = 0\n",
+      "17:14 INFO    :   luminosity_distance = 100.0\n",
+      "17:14 INFO    :   tilt_2 = 0\n",
+      "17:14 INFO    :   iota = 0.4\n",
+      "17:14 INFO    :   tilt_1 = 0\n",
+      "17:14 INFO    : Using sampler Dynesty with kwargs {'dlogz': 0.1, 'verbose': False, 'bound': 'multi', 'sample': 'rwalk', 'nlive': 200, 'walks': 1, 'update_interval': 100}\n",
+      "/home/user1/anaconda2/lib/python2.7/site-packages/dynesty/sampling.py:218: UserWarning: Random walk proposals appear to be extremely inefficient. Adjusting the scale-factor accordingly.\n",
+      "  warnings.warn(\"Random walk proposals appear to be \"\n",
+      "17:15 INFO    : Saving result to outdir/dynesty_result.h5\n",
+      "17:15 WARNING : Parameter $\\mathrm{DEC}$ in chain dynesty is not constrained\n"
      ]
     },
+    {
+     "data": {
+      "image/png": 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LiBw6jm/FPKy21OGp54pSCjvUDtJAoq0L/4aleOaVY8ejxI4f5hfvXMbtTx3A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\nj9MfWMlj96wlef4YRpcdFWbFk1cteWyfLjHjvRi9F5A0kGx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eMNdB1ubU2KuWUg68Ra/z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\n1twAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x7f8804406310>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Writing priors to outdir/prior.txt\n"
+      "nsamples: 3501\n",
+      "noise_logz: -27238.584\n",
+      "logz: -1998.714 +/-  0.256\n",
+      "log_bayes_factor: 25239.870 +/-  0.256\n",
+      "\n",
+      "CPU times: user 55.2 s, sys: 9.01 s, total: 1min 4s\n",
+      "Wall time: 53.2 s\n"
      ]
-    },
+    }
+   ],
+   "source": [
+    "%%time \n",
+    "result = tupak.sampler.run_sampler(\n",
+    "    likelihood, priors=priors, sampler='dynesty', label='dynesty',\n",
+    "    bound='multi', sample='rwalk', npoints=200, walks=1, verbose=False,\n",
+    "    update_interval=100)\n",
+    "fig = result.plot_corner(save=False)\n",
+    "plt.show()\n",
+    "print(result)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Dynamic Nested Sampling (Dynesty)\n",
+    "\n",
+    "See [the dynesty docs](http://dynesty.readthedocs.io/en/latest/dynamic.html#). Essentially, this methods improves the posterior estimation over that of standard nested sampling."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "iter: 996 | bound: 4 | nc: 1 | ncall: 9243 | eff(%): 10.776 | loglstar:   -inf < 12037.340 <    inf | logz: 12027.149 +/-  0.202 | dlogz: 13550.032 >  0.100              /home/user1/anaconda2/lib/python2.7/site-packages/dynesty/sampling.py:218: UserWarning: Random walk proposals appear to be extremely inefficient. Adjusting the scale-factor accordingly.\n",
-      "  warnings.warn(\"Random walk proposals appear to be \"\n",
-      "iter: 3994+250 | bound: 147 | nc: 1 | ncall: 24445 | eff(%): 17.361 | loglstar:   -inf < 25551.669 <    inf | logz: 25538.075 +/-  0.224 | dlogz:  0.000 >  0.100            09:51 INFO    : Renaming existing file outdir/nestle_result.h5 to outdir/nestle_result.h5.old\n",
-      "09:51 INFO    : Saving result to outdir/nestle_result.h5\n"
+      "17:15 INFO    : Supplied PDF is not normalised, normalising.\n",
+      "17:15 WARNING : No default prior found for unspecified variable waveform_approximant.\n",
+      "17:15 WARNING : This variable will NOT be sampled.\n",
+      "17:15 INFO    : Writing priors to outdir/prior.txt\n",
+      "17:15 INFO    : Search parameters:\n",
+      "17:15 INFO    :   ra ~ Uniform(support=6.28318530718, minimum=0, name=ra, maximum=6.28318530718, _Prior__latex_label=$\\mathrm{RA}$)\n",
+      "17:15 INFO    :   dec ~ Uniform(support=3.14159265359, minimum=-1.57079632679, name=dec, maximum=1.57079632679, _Prior__latex_label=$\\mathrm{DEC}$)\n",
+      "17:15 INFO    :   psi = 2.659\n",
+      "17:15 INFO    :   a_2 = 0\n",
+      "17:15 INFO    :   a_1 = 0\n",
+      "17:15 INFO    :   geocent_time = 1126259642.41\n",
+      "17:15 INFO    :   reference_frequency = 50.0\n",
+      "17:15 INFO    :   phi_jl = 0\n",
+      "17:15 INFO    :   phase = 1.3\n",
+      "17:15 INFO    :   mass_2 = 29.0\n",
+      "17:15 INFO    :   mass_1 = 36.0\n",
+      "17:15 INFO    :   phi_12 = 0\n",
+      "17:15 INFO    :   luminosity_distance = 100.0\n",
+      "17:15 INFO    :   tilt_2 = 0\n",
+      "17:15 INFO    :   iota = 0.4\n",
+      "17:15 INFO    :   tilt_1 = 0\n",
+      "17:15 INFO    : Using sampler Dynesty with kwargs {'dlogz': 0.1, 'verbose': True, 'dynamic': True, 'bound': 'multi', 'sample': 'unif', 'nlive': 250, 'walks': 10, 'update_interval': 100}\n",
+      "iter: 18812 | batch: 46 | bound: 382 | nc: 1 | ncall: 50572 | eff(%): 37.198 | loglstar: 25250.710 < 25253.965 < 25253.502 | logz: 25239.833 +/-  0.209 | stop:  0.904              \n",
+      "17:25 INFO    : Renaming existing file outdir/dynesty_dynamic_result.h5 to outdir/dynesty_dynamic_result.h5.old\n",
+      "17:25 INFO    : Saving result to outdir/dynesty_dynamic_result.h5\n"
      ]
     },
     {
      "data": {
-      "image/png": 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WA5dSPiGE2DvRNk0HFv2ullhnK56Vl6E43cS62vjsH/fy5K1rUiZdbvj9CbT8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\nLhMBmnoSg5YIGdFMNNYzyCsuTllOlJ9vW0/y7Am6d71K/NThwWsTLQv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GX28KQC0b/+4jdO44SM6KeZjZixAx0C5wDX+SL24Mby6eiksxi2pp/t0LFH3g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\ncONyHCd2uHE5jhM7/h+MtAvyRnEDzAAAAABJRU5ErkJggg==\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fcd255b8150>"
+       "<matplotlib.figure.Figure at 0x7f87d49e91d0>"
       ]
      },
      "metadata": {},
@@ -251,22 +320,22 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "nsamples: 4244\n",
-      "noise_logz: -27681.688\n",
-      "logz: -2143.614 +/-  0.224\n",
-      "log_bayes_factor: 25538.075 +/-  0.224\n",
+      "nsamples: 18812\n",
+      "noise_logz: -27238.584\n",
+      "logz: -1998.752 +/-  0.209\n",
+      "log_bayes_factor: 25239.832 +/-  0.209\n",
       "\n",
-      "CPU times: user 1min 14s, sys: 12.4 s, total: 1min 26s\n",
-      "Wall time: 1min 10s\n"
+      "CPU times: user 10min 49s, sys: 44.9 s, total: 11min 34s\n",
+      "Wall time: 10min 35s\n"
      ]
     }
    ],
    "source": [
     "%%time \n",
     "result = tupak.sampler.run_sampler(\n",
-    "    likelihood, priors=priors, sampler='dynesty', label='nestle',\n",
-    "    bound='multi', sample='rwalk', npoints=200, walks=1, verbose=False,\n",
-    "    update_interval=100)\n",
+    "    likelihood, priors=priors, sampler='dynesty', label='dynesty_dynamic',\n",
+    "    bound='multi', nlive=250, sample='unif', verbose=True,\n",
+    "    update_interval=100, dynamic=True)\n",
     "fig = result.plot_corner(save=False)\n",
     "plt.show()\n",
     "print(result)"
@@ -281,46 +350,41 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [
     {
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "09:51 WARNING : No default prior found for unspecified variable waveform_approximant.\n",
-      "09:51 WARNING : This variable will NOT be sampled.\n",
-      "09:51 INFO    : Search parameters:\n",
-      "09:51 INFO    :   ra ~ Uniform(support=6.28318530718, minimum=0, name=ra, maximum=6.28318530718, _Prior__latex_label=$\\mathrm{RA}$)\n",
-      "09:51 INFO    :   dec ~ Uniform(support=3.14159265359, minimum=-1.57079632679, name=dec, maximum=1.57079632679, _Prior__latex_label=$\\mathrm{DEC}$)\n",
-      "09:51 INFO    :   psi = 2.659\n",
-      "09:51 INFO    :   a_2 = 0\n",
-      "09:51 INFO    :   a_1 = 0\n",
-      "09:51 INFO    :   geocent_time = 1126259642.41\n",
-      "09:51 INFO    :   reference_frequency = 50.0\n",
-      "09:51 INFO    :   phi_jl = 0\n",
-      "09:51 INFO    :   phase = 1.3\n",
-      "09:51 INFO    :   mass_2 = 29.0\n",
-      "09:51 INFO    :   mass_1 = 36.0\n",
-      "09:51 INFO    :   phi_12 = 0\n",
-      "09:51 INFO    :   luminosity_distance = 100.0\n",
-      "09:51 INFO    :   tilt_2 = 0\n",
-      "09:51 INFO    :   iota = 0.4\n",
-      "09:51 INFO    :   tilt_1 = 0\n",
-      "09:51 INFO    : Using sampler Ptemcee with kwargs {'tqdm': 'tqdm_notebook', 'nwalkers': 100, 'nburn': 100, 'ntemps': 2, 'nsteps': 200}\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Writing priors to outdir/prior.txt\n"
+      "17:25 INFO    : Supplied PDF is not normalised, normalising.\n",
+      "17:25 WARNING : No default prior found for unspecified variable waveform_approximant.\n",
+      "17:25 WARNING : This variable will NOT be sampled.\n",
+      "17:25 INFO    : Writing priors to outdir/prior.txt\n",
+      "17:25 INFO    : Search parameters:\n",
+      "17:25 INFO    :   ra ~ Uniform(support=6.28318530718, minimum=0, name=ra, maximum=6.28318530718, _Prior__latex_label=$\\mathrm{RA}$)\n",
+      "17:25 INFO    :   dec ~ Uniform(support=3.14159265359, minimum=-1.57079632679, name=dec, maximum=1.57079632679, _Prior__latex_label=$\\mathrm{DEC}$)\n",
+      "17:25 INFO    :   psi = 2.659\n",
+      "17:25 INFO    :   a_2 = 0\n",
+      "17:25 INFO    :   a_1 = 0\n",
+      "17:25 INFO    :   geocent_time = 1126259642.41\n",
+      "17:25 INFO    :   reference_frequency = 50.0\n",
+      "17:25 INFO    :   phi_jl = 0\n",
+      "17:25 INFO    :   phase = 1.3\n",
+      "17:25 INFO    :   mass_2 = 29.0\n",
+      "17:25 INFO    :   mass_1 = 36.0\n",
+      "17:25 INFO    :   phi_12 = 0\n",
+      "17:25 INFO    :   luminosity_distance = 100.0\n",
+      "17:25 INFO    :   tilt_2 = 0\n",
+      "17:25 INFO    :   iota = 0.4\n",
+      "17:25 INFO    :   tilt_1 = 0\n",
+      "17:25 INFO    : Using sampler Ptemcee with kwargs {'tqdm': 'tqdm_notebook', 'nwalkers': 100, 'nburn': 100, 'ntemps': 2, 'nsteps': 200}\n"
      ]
     },
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "29f59ef596b043efb2b87b14c4701569",
+       "model_id": "bc9d5bc0427b4f189ec4422d224d22fc",
        "version_major": 2,
        "version_minor": 0
       },
@@ -335,8 +399,9 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/home/user1/anaconda2/lib/python2.7/site-packages/tupak/sampler.py:148: RuntimeWarning: divide by zero encountered in log\n",
-      "  zip(self.__search_parameter_keys, theta)])\n"
+      "/home/user1/anaconda2/lib/python2.7/site-packages/tupak/sampler.py:152: RuntimeWarning: divide by zero encountered in log\n",
+      "  zip(self.__search_parameter_keys, theta)])\n",
+      "17:27 INFO    : Saving walkers plot to filename\n"
      ]
     },
     {
@@ -350,20 +415,18 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "09:52 INFO    : Saving walkers plot to filename\n",
-      "09:52 INFO    : Max autocorr time = 59.0675487444\n",
-      "09:52 INFO    : Tswap frac = [0.02425 0.02425]\n",
-      "09:52 INFO    : Renaming existing file outdir/ptemcee_result.h5 to outdir/ptemcee_result.h5.old\n",
-      "09:52 INFO    : Saving result to outdir/ptemcee_result.h5\n",
-      "09:52 WARNING : Parameter $\\mathrm{RA}$ in chain Chain 0 is not constrained\n",
-      "09:52 WARNING : Parameter $\\mathrm{DEC}$ in chain Chain 0 is not constrained\n"
+      "17:27 INFO    : Max autocorr time = 45.9041728596\n",
+      "17:27 INFO    : Tswap frac = [0.0176 0.0176]\n",
+      "17:27 INFO    : Renaming existing file outdir/ptemcee_result.h5 to outdir/ptemcee_result.h5.old\n",
+      "17:27 INFO    : Saving result to outdir/ptemcee_result.h5\n",
+      "17:27 WARNING : Parameter $\\mathrm{RA}$ in chain ptemcee is not constrained\n"
      ]
     },
     {
      "data": {
-      "image/png": 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mKJfLYwEQxl2+x+Phs88+48GDB7z33nsHmtD9fl+63rxeL5FIhHa7LV/P5XKYTCYqlQrR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\ngZJIJBLJWCINlEQikUjGkv8PKwkGCydkJ54AAAAASUVORK5CYII=\n",
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fLW23Uzqs3+/j9/tfugB3fX39idHRO51v/Nr2wyTR6/VUpbxCoTgQDl2Kz0QI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\nSKMvGPx9CsMAAAAASUVORK5CYII=\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fcd2483c810>"
+       "<matplotlib.figure.Figure at 0x7f87d498de50>"
       ]
      },
      "metadata": {},
@@ -371,9 +434,9 @@
     },
     {
      "data": {
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dwFKgQ1WfEZHncSZ0LRSRYvc5b+e4TiaPbWw7xh3P7yPR1434/BAI8NAtF/OBuTVeV23G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\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fcd24806250>"
+       "<matplotlib.figure.Figure at 0x7f87e952bed0>"
       ]
      },
      "metadata": {},
@@ -384,12 +447,12 @@
      "output_type": "stream",
      "text": [
       "nsamples: 10000\n",
-      "noise_logz: -27681.688\n",
+      "noise_logz: -27238.584\n",
       "logz:    nan +/-    nan\n",
       "log_bayes_factor:    nan +/-    nan\n",
       "\n",
-      "CPU times: user 1min 29s, sys: 1.12 s, total: 1min 30s\n",
-      "Wall time: 1min 29s\n"
+      "CPU times: user 1min 39s, sys: 1.02 s, total: 1min 40s\n",
+      "Wall time: 1min 39s\n"
      ]
     }
    ],
diff --git a/tupak/sampler.py b/tupak/sampler.py
index 8087a7afa..3b4af657b 100644
--- a/tupak/sampler.py
+++ b/tupak/sampler.py
@@ -243,12 +243,21 @@ class Dynesty(Sampler):
 
     def run_sampler(self):
         dynesty = self.external_sampler
-        nested_sampler = dynesty.NestedSampler(
-            loglikelihood=self.log_likelihood,
-            prior_transform=self.prior_transform,
-            ndim=self.ndim, **self.kwargs)
-        nested_sampler.run_nested(
-            dlogz=self.kwargs['dlogz'], print_progress=self.kwargs['verbose'])
+
+        if self.kwargs.get('dynamic', False) is False:
+            nested_sampler = dynesty.NestedSampler(
+                loglikelihood=self.log_likelihood,
+                prior_transform=self.prior_transform,
+                ndim=self.ndim, **self.kwargs)
+            nested_sampler.run_nested(
+                dlogz=self.kwargs['dlogz'],
+                print_progress=self.kwargs['verbose'])
+        else:
+            nested_sampler = dynesty.DynamicNestedSampler(
+                loglikelihood=self.log_likelihood,
+                prior_transform=self.prior_transform,
+                ndim=self.ndim, **self.kwargs)
+            nested_sampler.run_nested(print_progress=self.kwargs['verbose'])
         out = nested_sampler.results
 
         # self.result.sampler_output = out
-- 
GitLab