diff --git a/attribution/attribution_metrics.py b/attribution/attribution_metrics.py
index 2344094..b42eebf 100644
--- a/attribution/attribution_metrics.py
+++ b/attribution/attribution_metrics.py
@@ -109,34 +109,40 @@ def cosine_similarity_attribution(
     tokenizer: PreTrainedTokenizer,
 ) -> Tuple[float, np.ndarray]:
     # Extract embeddings
-    initial_sentence_emb, initial_token_embs = get_sentence_embeddings(
+    initial_output_sentence_emb, initial_output_token_embs = get_sentence_embeddings(
         original_output_choice.message.content, model, tokenizer
     )
-    perturbed_sentence_emb, perturbed_token_embs = get_sentence_embeddings(
-        perturbed_output_choice.message.content, model, tokenizer
+    perturbed_output_sentence_emb, perturbed_output_token_embs = (
+        get_sentence_embeddings(
+            perturbed_output_choice.message.content, model, tokenizer
+        )
     )
 
     # Reshape embeddings
-    initial_sentence_emb = initial_sentence_emb.reshape(1, -1)
-    perturbed_sentence_emb = perturbed_sentence_emb.reshape(1, -1)
+    initial_output_sentence_emb = initial_output_sentence_emb.reshape(1, -1)
+    perturbed_output_sentence_emb = perturbed_output_sentence_emb.reshape(1, -1)
 
     # Calculate similarities
     self_similarity = float(
-        cosine_similarity(initial_sentence_emb, initial_sentence_emb)
+        cosine_similarity(initial_output_sentence_emb, initial_output_sentence_emb)
     )
     sentence_similarity = float(
-        cosine_similarity(initial_sentence_emb, perturbed_sentence_emb)
+        cosine_similarity(initial_output_sentence_emb, perturbed_output_sentence_emb)
     )
 
     # Calculate token similarities for shared length
-    shared_length = min(initial_token_embs.shape[0], perturbed_token_embs.shape[0])
+    shared_length = min(
+        initial_output_token_embs.shape[0], perturbed_output_token_embs.shape[0]
+    )
     token_similarities_shared = cosine_similarity(
-        initial_token_embs[:shared_length], perturbed_token_embs[:shared_length]
+        initial_output_token_embs[:shared_length],
+        perturbed_output_token_embs[:shared_length],
     ).diagonal()
 
     # Pad token similarities to match initial token embeddings shape
     token_similarities = np.pad(
-        token_similarities_shared, (0, initial_token_embs.shape[0] - shared_length)
+        token_similarities_shared,
+        (0, initial_output_token_embs.shape[0] - shared_length),
     )
 
     # Return difference in sentence similarity and token similarities
diff --git a/attribution/experiment_logger.py b/attribution/experiment_logger.py
index d04b2ac..1265338 100644
--- a/attribution/experiment_logger.py
+++ b/attribution/experiment_logger.py
@@ -15,6 +15,7 @@ def __init__(self, experiment_id=0):
                 "original_input",
                 "original_output",
                 "perturbation_strategy",
+                "perturb_word_wise",
                 "duration",
             ]
         )
@@ -51,7 +52,11 @@ def __init__(self, experiment_id=0):
         )
 
     def start_experiment(
-        self, original_input: str, original_output: str, perturbation_strategy: str
+        self,
+        original_input: str,
+        original_output: str,
+        perturbation_strategy: str,
+        perturb_word_wise: bool,
     ):
         self.experiment_id += 1
         self.experiment_start_time = time.time()
@@ -60,6 +65,7 @@ def start_experiment(
             "original_input": original_input,
             "original_output": original_output,
             "perturbation_strategy": perturbation_strategy,
+            "perturb_word_wise": perturb_word_wise,
             "duration": None,
         }
 
@@ -140,11 +146,15 @@ def print_sentence_attribution(self):
             perturbation_strategy = self.df_experiments.loc[
                 self.df_experiments["exp_id"] == exp_id, "perturbation_strategy"
             ].values[0]
+            perturb_word_wise = self.df_experiments.loc[
+                self.df_experiments["exp_id"] == exp_id, "perturb_word_wise"
+            ].values[0]
 
             sentence_data = {
                 "exp_id": exp_id,
                 "attribution_strategy": attr_strat,
                 "perturbation_strategy": perturbation_strategy,
+                "perturb_word_wise": perturb_word_wise,
             }
             sentence_data.update(
                 {f"token_{i+1}": token_attr for i, token_attr in enumerate(token_attrs)}
diff --git a/research/api_llm_attribution.ipynb b/research/api_llm_attribution.ipynb
index ca10f98..91ff9ba 100644
--- a/research/api_llm_attribution.ipynb
+++ b/research/api_llm_attribution.ipynb
@@ -2,9 +2,18 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 1,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/sebastian/Projects/llm-attribution/.venv/lib/python3.9/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
+      "  from .autonotebook import tqdm as notebook_tqdm\n"
+     ]
+    }
+   ],
    "source": [
     "import os\n",
     "import timeit\n",
@@ -41,7 +50,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -51,12 +60,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [],
    "source": [
     "model = GPT2LMHeadModel.from_pretrained(\"gpt2\")  # or any other checkpoint\n",
-    "tokenizer = GPT2Tokenizer.from_pretrained(\"gpt2\")\n",
+    "tokenizer = GPT2Tokenizer.from_pretrained(\"gpt2\", add_prefix_space=True)\n",
     "\n",
     "word_token_embeddings = model.transformer.wte.weight.detach().numpy()\n",
     "position_embeddings = model.transformer.wpe.weight.detach().numpy()\n",
@@ -67,7 +76,59 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 70,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Tokenizing the entire input text:\n",
+      "[['Ġthe'], ['Ġcamel'], ['Ġcase'], ['Ġomnip'], ['otent']]\n",
+      "[[262], [41021], [1339], [40046], [33715]]\n",
+      "\n",
+      "Tokenizing word by word:\n",
+      "[['Ġthe'], ['Ġcamel'], ['Ġcase'], ['Ġomnip', 'otent']]\n",
+      "[[262], [41021], [1339], [40046, 33715]]\n",
+      "\n",
+      "[262, 41021, 1339]\n",
+      "[[262], [41021], [1339]]\n",
+      "[262, 41021, 1339]\n"
+     ]
+    }
+   ],
+   "source": [
+    "tokenizer = GPT2Tokenizer.from_pretrained(\"gpt2\", add_prefix_space=True)\n",
+    "\n",
+    "# Test input text\n",
+    "input_text = \"the camel case omnipotent\"\n",
+    "\n",
+    "# Tokenize the entire input text\n",
+    "input_tokens = [[token] for token in tokenizer.tokenize(input_text)]\n",
+    "input_token_ids = [\n",
+    "    [token_id] for token_id in tokenizer.encode(input_text, add_special_tokens=False)\n",
+    "]\n",
+    "print(\"Tokenizing the entire input text:\")\n",
+    "print(input_tokens)\n",
+    "print(input_token_ids)\n",
+    "\n",
+    "# Tokenize word by word\n",
+    "words = input_text.split()\n",
+    "word_tokens = [tokenizer.tokenize(word) for word in words]\n",
+    "word_token_ids = [tokenizer.encode(word, add_special_tokens=False) for word in words]\n",
+    "print(\"\\nTokenizing word by word:\")\n",
+    "print(word_tokens)\n",
+    "print(word_token_ids)\n",
+    "\n",
+    "print()\n",
+    "print([token_id for sublist in input_token_ids[:3] for token_id in sublist])\n",
+    "print([sublist for sublist in input_token_ids[:3]])\n",
+    "print([token_id for sublist in input_token_ids[:3] for token_id in sublist])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -83,8 +144,8 @@
     "    return response.choices[0]\n",
     "\n",
     "\n",
-    "def calculate_token_importance_in_sequence(\n",
-    "    input_sequence: str,\n",
+    "def calculate_token_importance(\n",
+    "    input_text: str,\n",
     "    model: PreTrainedModel,\n",
     "    tokenizer: PreTrainedTokenizer,\n",
     "    perturbation_strategy: str = \"fixed\",\n",
@@ -94,55 +155,81 @@
     "        \"token_displacement\",\n",
     "    ],\n",
     "    logger: ExperimentLogger = None,\n",
+    "    perturb_word_wise: bool = False,\n",
     "):\n",
     "    timestamp = time()\n",
-    "    tokens = tokenizer.tokenize(input_sequence)\n",
-    "    token_ids = tokenizer.encode(input_sequence, add_special_tokens=False)\n",
-    "    original_output = get_model_output(input_sequence)\n",
+    "    original_output = get_model_output(input_text)\n",
     "    print(f\"Chat Completion - Original: {round(time() - timestamp, 2)}s\")\n",
     "\n",
     "    if logger:\n",
     "        logger.start_experiment(\n",
-    "            input_sequence, original_output.message.content, perturbation_strategy\n",
+    "            input_text,\n",
+    "            original_output.message.content,\n",
+    "            perturbation_strategy,\n",
+    "            perturb_word_wise,\n",
     "        )\n",
     "\n",
     "    exp_timestamp = time()\n",
-    "    words = input_sequence.split()\n",
-    "    token_index = 0\n",
-    "    for word in words:\n",
-    "        word_tokens = tokenizer.tokenize(word)\n",
-    "        word_token_ids = tokenizer.encode(word, add_special_tokens=False)\n",
+    "\n",
+    "    # A unit is either a word or a single token\n",
+    "    unit_offset = 0\n",
+    "    if perturb_word_wise:\n",
+    "        words = input_text.split()\n",
+    "        tokens_per_unit = [tokenizer.tokenize(word) for word in words]\n",
+    "        token_ids_per_unit = [\n",
+    "            tokenizer.encode(word, add_special_tokens=False) for word in words\n",
+    "        ]\n",
+    "    else:\n",
+    "        tokens_per_unit = [[token] for token in tokenizer.tokenize(input_text)]\n",
+    "        token_ids_per_unit = [\n",
+    "            [token_id]\n",
+    "            for token_id in tokenizer.encode(input_text, add_special_tokens=False)\n",
+    "        ]\n",
+    "\n",
+    "    for i_unit, unit_tokens in enumerate(tokens_per_unit):\n",
     "        start_word_time = time()\n",
     "        replacement_token_ids = [\n",
     "            get_replacement_token(\n",
-    "                word_token_ids[i],\n",
+    "                token_id,\n",
     "                perturbation_strategy,\n",
     "                word_token_embeddings,\n",
     "                tokenizer,\n",
     "            )\n",
-    "            for i in range(len(word_tokens))\n",
+    "            for token_id in token_ids_per_unit[i_unit]\n",
     "        ]\n",
     "        print(\n",
-    "            f\"\\nReplaced word '{word}': {round(time() - start_word_time, 2)}s - get_replacement_token()\"\n",
+    "            f\"\\nReplaced word '{''.join(unit_tokens)}': {round(time() - start_word_time, 2)}s - get_replacement_token()\"\n",
     "        )\n",
     "\n",
     "        # Replace the current word with the new tokens\n",
+    "        left_token_ids = [\n",
+    "            token_id\n",
+    "            for unit_token_ids in token_ids_per_unit[:i_unit]\n",
+    "            for token_id in unit_token_ids\n",
+    "        ]\n",
+    "        right_token_ids = [\n",
+    "            token_id\n",
+    "            for unit_token_ids in token_ids_per_unit[i_unit + 1 :]\n",
+    "            for token_id in unit_token_ids\n",
+    "        ]\n",
     "        perturbed_input = tokenizer.decode(\n",
-    "            token_ids[:token_index]\n",
-    "            + replacement_token_ids\n",
-    "            + token_ids[token_index + len(word_tokens) :]\n",
+    "            left_token_ids + replacement_token_ids + right_token_ids\n",
     "        )\n",
     "\n",
     "        # Get the output logprobs for the perturbed input\n",
     "        timestamp = time()\n",
-    "        print('Original: ',input_sequence)\n",
-    "        print('Perturbed: ',perturbed_input)\n",
+    "        print(\"Original: \", input_text)\n",
+    "        print(\"Perturbed: \", perturbed_input)\n",
     "        perturbed_output = get_model_output(perturbed_input)\n",
     "        print(f\"Chat Completion - Perturbed: {round(time() - timestamp, 2)}s\")\n",
     "\n",
     "        timestamp = time()\n",
     "        for attribution_strategy in attribution_strategies:\n",
-    "            attributed_tokens = tokens\n",
+    "            attributed_tokens = [\n",
+    "                token_logprob.token\n",
+    "                for token_logprob in original_output.logprobs.content\n",
+    "            ]\n",
+    "            print(attribution_strategy, \"attributed_tokens\", attributed_tokens)\n",
     "            if attribution_strategy == \"cosine\":\n",
     "                cosine_timestamp = time()\n",
     "                sentence_attr, token_attributions = cosine_similarity_attribution(\n",
@@ -172,35 +259,35 @@
     "\n",
     "            if logger:\n",
     "                start_logging = time()\n",
-    "                for i in range(len(word_tokens)):\n",
+    "                for i, unit_token in enumerate(unit_tokens):\n",
     "                    logger.log_input_token_attribution(\n",
     "                        attribution_strategy,\n",
-    "                        token_index + i,\n",
-    "                        word_tokens[i],\n",
+    "                        unit_offset + i,\n",
+    "                        unit_token,\n",
     "                        float(sentence_attr),\n",
     "                    )\n",
     "                    for j, attr_score in enumerate(token_attributions):\n",
     "                        logger.log_token_attribution_matrix(\n",
     "                            attribution_strategy,\n",
-    "                            token_index + i,\n",
+    "                            unit_offset + i,\n",
     "                            j,\n",
     "                            attributed_tokens[j],\n",
     "                            attr_score.squeeze(),\n",
     "                        )\n",
     "                end_logging = time()\n",
     "        time_all_attrs = time() - timestamp\n",
-    "        print(f\"Attributions computation: {time_all_attrs}s\")\n",
-    "        print(f\"- Cosine Attr: {round(cosine_timestamp_end - cosine_timestamp, 2)}s\")\n",
-    "        print(\n",
-    "            f\"- Prob Diff Attr: {round(prob_diff_timestamp_end - prob_diff_timestamp, 2)}s\"\n",
-    "        )\n",
-    "        print(\n",
-    "            f\"- Token Displacement Attr: {round(token_displacement_timestamp_end - token_displacement_timestamp, 2)}s\"\n",
-    "        )\n",
-    "        print(f\"- Attr Logging: {round(end_logging - start_logging, 2)}s\")\n",
-    "        print(f\"Total for word '{word}': {round(time() - start_word_time, 2)}s\")\n",
+    "        # print(f\"Attributions computation: {time_all_attrs}s\")\n",
+    "        # print(f\"- Cosine Attr: {round(cosine_timestamp_end - cosine_timestamp, 2)}s\")\n",
+    "        # print(\n",
+    "        #     f\"- Prob Diff Attr: {round(prob_diff_timestamp_end - prob_diff_timestamp, 2)}s\"\n",
+    "        # )\n",
+    "        # print(\n",
+    "        #     f\"- Token Displacement Attr: {round(token_displacement_timestamp_end - token_displacement_timestamp, 2)}s\"\n",
+    "        # )\n",
+    "        # print(f\"- Attr Logging: {round(end_logging - start_logging, 2)}s\")\n",
+    "        # print(f\"Total for word '{word}': {round(time() - start_word_time, 2)}s\")\n",
     "\n",
-    "        token_index += len(word_tokens)\n",
+    "        unit_offset += len(unit_tokens)\n",
     "\n",
     "    print(f\"\\n\\nExp Total: {time() - exp_timestamp}s\\n\\n\")\n",
     "\n",
@@ -209,7 +296,7 @@
     "            i,\n",
     "            tokenizer.decode(replacement_token_ids)[0],\n",
     "            perturbation_strategy,\n",
-    "            input_sequence,\n",
+    "            input_text,\n",
     "            original_output.message.content,\n",
     "            perturbed_input,\n",
     "            perturbed_output.message.content,\n",
@@ -221,127 +308,97 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Chat Completion - Original: 0.73s\n",
+      "Chat Completion - Original: 1.26s\n",
       "\n",
-      "Replaced word 'The': 0.06s - get_replacement_token()\n",
+      "Replaced word 'ĠThe': 0.26s - get_replacement_token()\n",
       "Original:  The clock shows 9:47 PM. How many minutes 'til 10?\n",
-      "Perturbed:  exp clock shows 9:47 PM. How many minutes 'til 10?\n",
-      "Chat Completion - Perturbed: 0.73s\n",
-      "Attributions computation: 0.009429931640625s\n",
-      "- Cosine Attr: 0.0s\n",
-      "- Prob Diff Attr: 0.0s\n",
-      "- Token Displacement Attr: 0.0s\n",
-      "- Attr Logging: 0.0s\n",
-      "Total for word 'The': 0.8s\n",
+      "Perturbed:   Limit clock shows 9:47 PM. How many minutes 'til 10?\n",
+      "Chat Completion - Perturbed: 0.65s\n",
+      "cosine attributed_tokens ['13', ' minutes', '.']\n",
+      "prob_diff attributed_tokens ['13', ' minutes', '.']\n",
+      "token_displacement attributed_tokens ['13', ' minutes', '.']\n",
       "\n",
-      "Replaced word 'clock': 0.05s - get_replacement_token()\n",
+      "Replaced word 'Ġclock': 0.24s - get_replacement_token()\n",
       "Original:  The clock shows 9:47 PM. How many minutes 'til 10?\n",
-      "Perturbed:  Thework shows 9:47 PM. How many minutes 'til 10?\n",
-      "Chat Completion - Perturbed: 0.91s\n",
-      "Attributions computation: 0.008873939514160156s\n",
-      "- Cosine Attr: 0.0s\n",
-      "- Prob Diff Attr: 0.0s\n",
-      "- Token Displacement Attr: 0.0s\n",
-      "- Attr Logging: 0.0s\n",
-      "Total for word 'clock': 0.97s\n",
+      "Perturbed:   The Penny shows 9:47 PM. How many minutes 'til 10?\n",
+      "Chat Completion - Perturbed: 4.96s\n",
+      "cosine attributed_tokens ['13', ' minutes', '.']\n",
+      "prob_diff attributed_tokens ['13', ' minutes', '.']\n",
+      "token_displacement attributed_tokens ['13', ' minutes', '.']\n",
       "\n",
-      "Replaced word 'shows': 0.05s - get_replacement_token()\n",
+      "Replaced word 'Ġshows': 0.36s - get_replacement_token()\n",
       "Original:  The clock shows 9:47 PM. How many minutes 'til 10?\n",
-      "Perturbed:  The clock cheesy 9:47 PM. How many minutes 'til 10?\n",
-      "Chat Completion - Perturbed: 0.37s\n",
-      "Attributions computation: 0.00640106201171875s\n",
-      "- Cosine Attr: 0.0s\n",
-      "- Prob Diff Attr: 0.0s\n",
-      "- Token Displacement Attr: 0.0s\n",
-      "- Attr Logging: 0.0s\n",
-      "Total for word 'shows': 0.43s\n",
+      "Perturbed:   The clockmedia 9:47 PM. How many minutes 'til 10?\n",
+      "Chat Completion - Perturbed: 1.08s\n",
+      "cosine attributed_tokens ['13', ' minutes', '.']\n",
+      "prob_diff attributed_tokens ['13', ' minutes', '.']\n",
+      "token_displacement attributed_tokens ['13', ' minutes', '.']\n",
       "\n",
-      "Replaced word '9:47': 0.12s - get_replacement_token()\n",
+      "Replaced word 'Ġ9:47': 0.71s - get_replacement_token()\n",
       "Original:  The clock shows 9:47 PM. How many minutes 'til 10?\n",
-      "Perturbed:  The clock shows teaspASON unpredict PM. How many minutes 'til 10?\n",
-      "Chat Completion - Perturbed: 1.59s\n",
-      "Attributions computation: 0.022313833236694336s\n",
-      "- Cosine Attr: 0.0s\n",
-      "- Prob Diff Attr: 0.0s\n",
-      "- Token Displacement Attr: 0.0s\n",
-      "- Attr Logging: 0.01s\n",
-      "Total for word '9:47': 1.74s\n",
+      "Perturbed:   The clock shows accountingASON unpredict PM. How many minutes 'til 10?\n",
+      "Chat Completion - Perturbed: 1.38s\n",
+      "cosine attributed_tokens ['13', ' minutes', '.']\n",
+      "prob_diff attributed_tokens ['13', ' minutes', '.']\n",
+      "token_displacement attributed_tokens ['13', ' minutes', '.']\n",
       "\n",
-      "Replaced word 'PM.': 0.08s - get_replacement_token()\n",
+      "Replaced word 'ĠPM.': 0.52s - get_replacement_token()\n",
       "Original:  The clock shows 9:47 PM. How many minutes 'til 10?\n",
-      "Perturbed:  The clock shows 9:47 bombingroc How many minutes 'til 10?\n",
-      "Chat Completion - Perturbed: 0.94s\n",
-      "Attributions computation: 0.017086029052734375s\n",
-      "- Cosine Attr: 0.0s\n",
-      "- Prob Diff Attr: 0.0s\n",
-      "- Token Displacement Attr: 0.0s\n",
-      "- Attr Logging: 0.0s\n",
-      "Total for word 'PM.': 1.04s\n",
+      "Perturbed:   The clock shows 9:47 deviationroc How many minutes 'til 10?\n",
+      "Chat Completion - Perturbed: 1.08s\n",
+      "cosine attributed_tokens ['13', ' minutes', '.']\n",
+      "prob_diff attributed_tokens ['13', ' minutes', '.']\n",
+      "token_displacement attributed_tokens ['13', ' minutes', '.']\n",
       "\n",
-      "Replaced word 'How': 0.04s - get_replacement_token()\n",
+      "Replaced word 'ĠHow': 0.25s - get_replacement_token()\n",
       "Original:  The clock shows 9:47 PM. How many minutes 'til 10?\n",
-      "Perturbed:  The clock shows 9:47 PM. empir many minutes 'til 10?\n",
-      "Chat Completion - Perturbed: 1.1s\n",
-      "Attributions computation: 0.008667945861816406s\n",
-      "- Cosine Attr: 0.0s\n",
-      "- Prob Diff Attr: 0.0s\n",
-      "- Token Displacement Attr: 0.0s\n",
-      "- Attr Logging: 0.0s\n",
-      "Total for word 'How': 1.15s\n",
+      "Perturbed:   The clock shows 9:47 PM. cryptography many minutes 'til 10?\n",
+      "Chat Completion - Perturbed: 1.2s\n",
+      "cosine attributed_tokens ['13', ' minutes', '.']\n",
+      "prob_diff attributed_tokens ['13', ' minutes', '.']\n",
+      "token_displacement attributed_tokens ['13', ' minutes', '.']\n",
       "\n",
-      "Replaced word 'many': 0.04s - get_replacement_token()\n",
+      "Replaced word 'Ġmany': 0.26s - get_replacement_token()\n",
       "Original:  The clock shows 9:47 PM. How many minutes 'til 10?\n",
-      "Perturbed:  The clock shows 9:47 PM. How pubs minutes 'til 10?\n",
-      "Chat Completion - Perturbed: 0.9s\n",
-      "Attributions computation: 0.010850906372070312s\n",
-      "- Cosine Attr: 0.0s\n",
-      "- Prob Diff Attr: 0.0s\n",
-      "- Token Displacement Attr: 0.0s\n",
-      "- Attr Logging: 0.0s\n",
-      "Total for word 'many': 0.95s\n",
+      "Perturbed:   The clock shows 9:47 PM. How acidic minutes 'til 10?\n",
+      "Chat Completion - Perturbed: 1.11s\n",
+      "cosine attributed_tokens ['13', ' minutes', '.']\n",
+      "prob_diff attributed_tokens ['13', ' minutes', '.']\n",
+      "token_displacement attributed_tokens ['13', ' minutes', '.']\n",
       "\n",
-      "Replaced word 'minutes': 0.09s - get_replacement_token()\n",
+      "Replaced word 'Ġminutes': 0.29s - get_replacement_token()\n",
       "Original:  The clock shows 9:47 PM. How many minutes 'til 10?\n",
-      "Perturbed:  The clock shows 9:47 PM. How manyRespakotil 10?\n",
-      "Chat Completion - Perturbed: 0.73s\n",
-      "Attributions computation: 0.019688844680786133s\n",
-      "- Cosine Attr: 0.0s\n",
-      "- Prob Diff Attr: 0.0s\n",
-      "- Token Displacement Attr: 0.0s\n",
-      "- Attr Logging: 0.0s\n",
-      "Total for word 'minutes': 0.84s\n",
+      "Perturbed:   The clock shows 9:47 PM. How manystyles 'til 10?\n",
+      "Chat Completion - Perturbed: 0.87s\n",
+      "cosine attributed_tokens ['13', ' minutes', '.']\n",
+      "prob_diff attributed_tokens ['13', ' minutes', '.']\n",
+      "token_displacement attributed_tokens ['13', ' minutes', '.']\n",
       "\n",
-      "Replaced word ''til': 0.09s - get_replacement_token()\n",
+      "Replaced word 'Ġ'til': 0.55s - get_replacement_token()\n",
       "Original:  The clock shows 9:47 PM. How many minutes 'til 10?\n",
-      "Perturbed:  The clock shows 9:47 PM. How many minutes'refugees Naturally?\n",
-      "Chat Completion - Perturbed: 0.69s\n",
-      "Attributions computation: 0.022047996520996094s\n",
-      "- Cosine Attr: 0.0s\n",
-      "- Prob Diff Attr: 0.0s\n",
-      "- Token Displacement Attr: 0.0s\n",
-      "- Attr Logging: 0.0s\n",
-      "Total for word ''til': 0.8s\n",
+      "Perturbed:   The clock shows 9:47 PM. How many minutes Wah clich 10?\n",
+      "Chat Completion - Perturbed: 0.86s\n",
+      "cosine attributed_tokens ['13', ' minutes', '.']\n",
+      "prob_diff attributed_tokens ['13', ' minutes', '.']\n",
+      "token_displacement attributed_tokens ['13', ' minutes', '.']\n",
       "\n",
-      "Replaced word '10?': 0.09s - get_replacement_token()\n",
+      "Replaced word 'Ġ10?': 0.48s - get_replacement_token()\n",
       "Original:  The clock shows 9:47 PM. How many minutes 'til 10?\n",
-      "Perturbed:  The clock shows 9:47 PM. How many minutes 'til 10 setbacks susceptible\n",
-      "Chat Completion - Perturbed: 0.82s\n",
-      "Attributions computation: 0.019437074661254883s\n",
-      "- Cosine Attr: 0.0s\n",
-      "- Prob Diff Attr: 0.0s\n",
-      "- Token Displacement Attr: 0.0s\n",
-      "- Attr Logging: 0.0s\n",
-      "Total for word '10?': 0.93s\n",
+      "Perturbed:   The clock shows 9:47 PM. How many minutes 'til lawsuit susceptible\n",
+      "Chat Completion - Perturbed: 0.61s\n",
+      "cosine attributed_tokens ['13', ' minutes', '.']\n",
+      "prob_diff attributed_tokens ['13', ' minutes', '.']\n",
+      "token_displacement attributed_tokens ['13', ' minutes', '.']\n",
       "\n",
       "\n",
-      "Exp Total: 9.65583610534668s\n",
+      "Exp Total: 18.051724910736084s\n",
       "\n",
       "\n",
       "The clock shows 9:47 PM. How many minutes 'til 10? ('13 minutes.',)\n"
@@ -349,8 +406,7 @@
     }
    ],
    "source": [
-    "input_sequences = [\n",
-    "    \"The clock shows 9:47 PM. How many minutes 'til 10?\"]\n",
+    "input_texts = [\"The clock shows 9:47 PM. How many minutes 'til 10?\"]\n",
     "#     \"The building is 132 meters tall. How tall is the building?\",\n",
     "#     \"The package weighs 8.6 kilograms. How much does the package weigh?\",\n",
     "#     \"The thermometer reads 23 degrees Celsius. What is the temperature according to the thermometer?\",\n",
@@ -363,26 +419,27 @@
     "# ]\n",
     "\n",
     "\n",
-    "for input_sequence in input_sequences:\n",
+    "for input_text in input_texts:\n",
     "    for perturbation_strategy in [\"distant\"]:\n",
-    "        original_output = calculate_token_importance_in_sequence(\n",
-    "            input_sequence,\n",
+    "        original_output = calculate_token_importance(\n",
+    "            input_text,\n",
     "            model,\n",
     "            tokenizer,\n",
     "            perturbation_strategy,\n",
     "            attribution_strategies=[\"cosine\", \"prob_diff\", \"token_displacement\"],\n",
     "            logger=logger,\n",
+    "            perturb_word_wise=True,\n",
     "        )\n",
     "\n",
     "        print(\n",
-    "            input_sequence,\n",
+    "            input_text,\n",
     "            original_output,\n",
     "        )"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [
     {
@@ -410,6 +467,7 @@
        "      <th>original_input</th>\n",
        "      <th>original_output</th>\n",
        "      <th>perturbation_strategy</th>\n",
+       "      <th>perturb_word_wise</th>\n",
        "      <th>duration</th>\n",
        "    </tr>\n",
        "  </thead>\n",
@@ -420,7 +478,8 @@
        "      <td>The clock shows 9:47 PM. How many minutes 'til...</td>\n",
        "      <td>13 minutes.</td>\n",
        "      <td>distant</td>\n",
-       "      <td>9.658044</td>\n",
+       "      <td>True</td>\n",
+       "      <td>18.055734</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
@@ -430,8 +489,8 @@
        "   exp_id                                     original_input original_output  \\\n",
        "0       1  The clock shows 9:47 PM. How many minutes 'til...     13 minutes.   \n",
        "\n",
-       "  perturbation_strategy  duration  \n",
-       "0               distant  9.658044  "
+       "  perturbation_strategy  perturb_word_wise   duration  \n",
+       "0               distant               True  18.055734  "
       ]
      },
      "metadata": {},
@@ -444,162 +503,159 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/html": [
        "<style type=\"text/css\">\n",
-       "#T_1f5ef_row0_col0, #T_1f5ef_row0_col1, #T_1f5ef_row0_col2, #T_1f5ef_row0_col3, #T_1f5ef_row0_col4, #T_1f5ef_row0_col5, #T_1f5ef_row0_col6, #T_1f5ef_row0_col7, #T_1f5ef_row0_col8, #T_1f5ef_row0_col9, #T_1f5ef_row0_col10, #T_1f5ef_row0_col11, #T_1f5ef_row0_col12, #T_1f5ef_row0_col13, #T_1f5ef_row0_col14, #T_1f5ef_row0_col15, #T_1f5ef_row0_col16, #T_1f5ef_row0_col17, #T_1f5ef_row0_col18, #T_1f5ef_row1_col0, #T_1f5ef_row1_col1, #T_1f5ef_row1_col2, #T_1f5ef_row1_col3, #T_1f5ef_row1_col4, #T_1f5ef_row1_col5, #T_1f5ef_row1_col6, #T_1f5ef_row1_col7, #T_1f5ef_row1_col8, #T_1f5ef_row1_col9, #T_1f5ef_row1_col10, #T_1f5ef_row1_col11, #T_1f5ef_row1_col12, #T_1f5ef_row1_col13, #T_1f5ef_row1_col14, #T_1f5ef_row1_col15, #T_1f5ef_row1_col16, #T_1f5ef_row1_col17, #T_1f5ef_row1_col18, #T_1f5ef_row2_col0, #T_1f5ef_row2_col1, #T_1f5ef_row2_col2, #T_1f5ef_row2_col3, #T_1f5ef_row2_col4, #T_1f5ef_row2_col5, #T_1f5ef_row2_col6, #T_1f5ef_row2_col7, #T_1f5ef_row2_col8, #T_1f5ef_row2_col9, #T_1f5ef_row2_col10, #T_1f5ef_row2_col11, #T_1f5ef_row2_col12, #T_1f5ef_row2_col13, #T_1f5ef_row2_col14, #T_1f5ef_row2_col15, #T_1f5ef_row2_col16, #T_1f5ef_row2_col17, #T_1f5ef_row2_col18 {\n",
+       "#T_d8586_row0_col0, #T_d8586_row0_col1, #T_d8586_row0_col2, #T_d8586_row0_col3, #T_d8586_row0_col4, #T_d8586_row0_col5, #T_d8586_row0_col6, #T_d8586_row0_col7, #T_d8586_row0_col8, #T_d8586_row0_col9, #T_d8586_row0_col10, #T_d8586_row0_col11, #T_d8586_row0_col12, #T_d8586_row0_col13, #T_d8586_row0_col14, #T_d8586_row0_col15, #T_d8586_row0_col16, #T_d8586_row0_col17, #T_d8586_row0_col18, #T_d8586_row1_col0, #T_d8586_row1_col1, #T_d8586_row1_col2, #T_d8586_row1_col3, #T_d8586_row1_col4, #T_d8586_row1_col5, #T_d8586_row1_col6, #T_d8586_row1_col7, #T_d8586_row1_col8, #T_d8586_row1_col9, #T_d8586_row1_col10, #T_d8586_row1_col11, #T_d8586_row1_col12, #T_d8586_row1_col13, #T_d8586_row1_col14, #T_d8586_row1_col15, #T_d8586_row1_col16, #T_d8586_row1_col17, #T_d8586_row1_col18, #T_d8586_row2_col0, #T_d8586_row2_col1, #T_d8586_row2_col2, #T_d8586_row2_col3, #T_d8586_row2_col4, #T_d8586_row2_col5, #T_d8586_row2_col6, #T_d8586_row2_col7, #T_d8586_row2_col8, #T_d8586_row2_col9, #T_d8586_row2_col10, #T_d8586_row2_col11, #T_d8586_row2_col12, #T_d8586_row2_col13, #T_d8586_row2_col14, #T_d8586_row2_col15, #T_d8586_row2_col16, #T_d8586_row2_col17, #T_d8586_row2_col18 {\n",
        "  white-space: pre-wrap;\n",
        "}\n",
        "</style>\n",
-       "<table id=\"T_1f5ef\">\n",
+       "<table id=\"T_d8586\">\n",
        "  <thead>\n",
        "    <tr>\n",
        "      <th class=\"blank level0\" >&nbsp;</th>\n",
-       "      <th id=\"T_1f5ef_level0_col0\" class=\"col_heading level0 col0\" >exp_id</th>\n",
-       "      <th id=\"T_1f5ef_level0_col1\" class=\"col_heading level0 col1\" >attribution_strategy</th>\n",
-       "      <th id=\"T_1f5ef_level0_col2\" class=\"col_heading level0 col2\" >perturbation_strategy</th>\n",
-       "      <th id=\"T_1f5ef_level0_col3\" class=\"col_heading level0 col3\" >token_1</th>\n",
-       "      <th id=\"T_1f5ef_level0_col4\" class=\"col_heading level0 col4\" >token_2</th>\n",
-       "      <th id=\"T_1f5ef_level0_col5\" class=\"col_heading level0 col5\" >token_3</th>\n",
-       "      <th id=\"T_1f5ef_level0_col6\" class=\"col_heading level0 col6\" >token_4</th>\n",
-       "      <th id=\"T_1f5ef_level0_col7\" class=\"col_heading level0 col7\" >token_5</th>\n",
-       "      <th id=\"T_1f5ef_level0_col8\" class=\"col_heading level0 col8\" >token_6</th>\n",
-       "      <th id=\"T_1f5ef_level0_col9\" class=\"col_heading level0 col9\" >token_7</th>\n",
-       "      <th id=\"T_1f5ef_level0_col10\" class=\"col_heading level0 col10\" >token_8</th>\n",
-       "      <th id=\"T_1f5ef_level0_col11\" class=\"col_heading level0 col11\" >token_9</th>\n",
-       "      <th id=\"T_1f5ef_level0_col12\" class=\"col_heading level0 col12\" >token_10</th>\n",
-       "      <th id=\"T_1f5ef_level0_col13\" class=\"col_heading level0 col13\" >token_11</th>\n",
-       "      <th id=\"T_1f5ef_level0_col14\" class=\"col_heading level0 col14\" >token_12</th>\n",
-       "      <th id=\"T_1f5ef_level0_col15\" class=\"col_heading level0 col15\" >token_13</th>\n",
-       "      <th id=\"T_1f5ef_level0_col16\" class=\"col_heading level0 col16\" >token_14</th>\n",
-       "      <th id=\"T_1f5ef_level0_col17\" class=\"col_heading level0 col17\" >token_15</th>\n",
-       "      <th id=\"T_1f5ef_level0_col18\" class=\"col_heading level0 col18\" >token_16</th>\n",
+       "      <th id=\"T_d8586_level0_col0\" class=\"col_heading level0 col0\" >exp_id</th>\n",
+       "      <th id=\"T_d8586_level0_col1\" class=\"col_heading level0 col1\" >attribution_strategy</th>\n",
+       "      <th id=\"T_d8586_level0_col2\" class=\"col_heading level0 col2\" >perturbation_strategy</th>\n",
+       "      <th id=\"T_d8586_level0_col3\" class=\"col_heading level0 col3\" >perturb_word_wise</th>\n",
+       "      <th id=\"T_d8586_level0_col4\" class=\"col_heading level0 col4\" >token_1</th>\n",
+       "      <th id=\"T_d8586_level0_col5\" class=\"col_heading level0 col5\" >token_2</th>\n",
+       "      <th id=\"T_d8586_level0_col6\" class=\"col_heading level0 col6\" >token_3</th>\n",
+       "      <th id=\"T_d8586_level0_col7\" class=\"col_heading level0 col7\" >token_4</th>\n",
+       "      <th id=\"T_d8586_level0_col8\" class=\"col_heading level0 col8\" >token_5</th>\n",
+       "      <th id=\"T_d8586_level0_col9\" class=\"col_heading level0 col9\" >token_6</th>\n",
+       "      <th id=\"T_d8586_level0_col10\" class=\"col_heading level0 col10\" >token_7</th>\n",
+       "      <th id=\"T_d8586_level0_col11\" class=\"col_heading level0 col11\" >token_8</th>\n",
+       "      <th id=\"T_d8586_level0_col12\" class=\"col_heading level0 col12\" >token_9</th>\n",
+       "      <th id=\"T_d8586_level0_col13\" class=\"col_heading level0 col13\" >token_10</th>\n",
+       "      <th id=\"T_d8586_level0_col14\" class=\"col_heading level0 col14\" >token_11</th>\n",
+       "      <th id=\"T_d8586_level0_col15\" class=\"col_heading level0 col15\" >token_12</th>\n",
+       "      <th id=\"T_d8586_level0_col16\" class=\"col_heading level0 col16\" >token_13</th>\n",
+       "      <th id=\"T_d8586_level0_col17\" class=\"col_heading level0 col17\" >token_14</th>\n",
+       "      <th id=\"T_d8586_level0_col18\" class=\"col_heading level0 col18\" >token_15</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
-       "      <th id=\"T_1f5ef_level0_row0\" class=\"row_heading level0 row0\" >0</th>\n",
-       "      <td id=\"T_1f5ef_row0_col0\" class=\"data row0 col0\" >1</td>\n",
-       "      <td id=\"T_1f5ef_row0_col1\" class=\"data row0 col1\" >cosine</td>\n",
-       "      <td id=\"T_1f5ef_row0_col2\" class=\"data row0 col2\" >distant</td>\n",
-       "      <td id=\"T_1f5ef_row0_col3\" class=\"data row0 col3\" >The\n",
-       "0.14</td>\n",
-       "      <td id=\"T_1f5ef_row0_col4\" class=\"data row0 col4\" >clock\n",
-       "0.14</td>\n",
-       "      <td id=\"T_1f5ef_row0_col5\" class=\"data row0 col5\" >shows\n",
-       "0.10</td>\n",
-       "      <td id=\"T_1f5ef_row0_col6\" class=\"data row0 col6\" >9\n",
-       "0.20</td>\n",
-       "      <td id=\"T_1f5ef_row0_col7\" class=\"data row0 col7\" >:\n",
-       "0.20</td>\n",
-       "      <td id=\"T_1f5ef_row0_col8\" class=\"data row0 col8\" >47\n",
-       "0.20</td>\n",
-       "      <td id=\"T_1f5ef_row0_col9\" class=\"data row0 col9\" >PM\n",
-       "0.17</td>\n",
-       "      <td id=\"T_1f5ef_row0_col10\" class=\"data row0 col10\" >.\n",
-       "0.17</td>\n",
-       "      <td id=\"T_1f5ef_row0_col11\" class=\"data row0 col11\" >How\n",
-       "0.14</td>\n",
-       "      <td id=\"T_1f5ef_row0_col12\" class=\"data row0 col12\" >many\n",
-       "0.14</td>\n",
-       "      <td id=\"T_1f5ef_row0_col13\" class=\"data row0 col13\" >min\n",
-       "0.14</td>\n",
-       "      <td id=\"T_1f5ef_row0_col14\" class=\"data row0 col14\" >utes\n",
-       "0.14</td>\n",
-       "      <td id=\"T_1f5ef_row0_col15\" class=\"data row0 col15\" >'t\n",
-       "0.10</td>\n",
-       "      <td id=\"T_1f5ef_row0_col16\" class=\"data row0 col16\" >il\n",
-       "0.10</td>\n",
-       "      <td id=\"T_1f5ef_row0_col17\" class=\"data row0 col17\" >10\n",
+       "      <th id=\"T_d8586_level0_row0\" class=\"row_heading level0 row0\" >0</th>\n",
+       "      <td id=\"T_d8586_row0_col0\" class=\"data row0 col0\" >1</td>\n",
+       "      <td id=\"T_d8586_row0_col1\" class=\"data row0 col1\" >cosine</td>\n",
+       "      <td id=\"T_d8586_row0_col2\" class=\"data row0 col2\" >distant</td>\n",
+       "      <td id=\"T_d8586_row0_col3\" class=\"data row0 col3\" >True</td>\n",
+       "      <td id=\"T_d8586_row0_col4\" class=\"data row0 col4\" >The\n",
        "0.00</td>\n",
-       "      <td id=\"T_1f5ef_row0_col18\" class=\"data row0 col18\" >?\n",
+       "      <td id=\"T_d8586_row0_col5\" class=\"data row0 col5\" >clock\n",
        "0.00</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_1f5ef_level0_row1\" class=\"row_heading level0 row1\" >1</th>\n",
-       "      <td id=\"T_1f5ef_row1_col0\" class=\"data row1 col0\" >1</td>\n",
-       "      <td id=\"T_1f5ef_row1_col1\" class=\"data row1 col1\" >prob_diff</td>\n",
-       "      <td id=\"T_1f5ef_row1_col2\" class=\"data row1 col2\" >distant</td>\n",
-       "      <td id=\"T_1f5ef_row1_col3\" class=\"data row1 col3\" >The\n",
-       "0.76</td>\n",
-       "      <td id=\"T_1f5ef_row1_col4\" class=\"data row1 col4\" >clock\n",
-       "0.70</td>\n",
-       "      <td id=\"T_1f5ef_row1_col5\" class=\"data row1 col5\" >shows\n",
-       "0.28</td>\n",
-       "      <td id=\"T_1f5ef_row1_col6\" class=\"data row1 col6\" >9\n",
-       "0.80</td>\n",
-       "      <td id=\"T_1f5ef_row1_col7\" class=\"data row1 col7\" >:\n",
-       "0.80</td>\n",
-       "      <td id=\"T_1f5ef_row1_col8\" class=\"data row1 col8\" >47\n",
-       "0.80</td>\n",
-       "      <td id=\"T_1f5ef_row1_col9\" class=\"data row1 col9\" >PM\n",
-       "0.78</td>\n",
-       "      <td id=\"T_1f5ef_row1_col10\" class=\"data row1 col10\" >.\n",
-       "0.78</td>\n",
-       "      <td id=\"T_1f5ef_row1_col11\" class=\"data row1 col11\" >How\n",
-       "0.79</td>\n",
-       "      <td id=\"T_1f5ef_row1_col12\" class=\"data row1 col12\" >many\n",
-       "0.72</td>\n",
-       "      <td id=\"T_1f5ef_row1_col13\" class=\"data row1 col13\" >min\n",
-       "0.80</td>\n",
-       "      <td id=\"T_1f5ef_row1_col14\" class=\"data row1 col14\" >utes\n",
+       "      <td id=\"T_d8586_row0_col6\" class=\"data row0 col6\" >shows\n",
+       "0.00</td>\n",
+       "      <td id=\"T_d8586_row0_col7\" class=\"data row0 col7\" >9\n",
+       "0.15</td>\n",
+       "      <td id=\"T_d8586_row0_col8\" class=\"data row0 col8\" >:\n",
+       "0.15</td>\n",
+       "      <td id=\"T_d8586_row0_col9\" class=\"data row0 col9\" >47\n",
+       "0.15</td>\n",
+       "      <td id=\"T_d8586_row0_col10\" class=\"data row0 col10\" >PM\n",
+       "0.15</td>\n",
+       "      <td id=\"T_d8586_row0_col11\" class=\"data row0 col11\" >.\n",
+       "0.15</td>\n",
+       "      <td id=\"T_d8586_row0_col12\" class=\"data row0 col12\" >How\n",
+       "0.13</td>\n",
+       "      <td id=\"T_d8586_row0_col13\" class=\"data row0 col13\" >many\n",
+       "0.13</td>\n",
+       "      <td id=\"T_d8586_row0_col14\" class=\"data row0 col14\" >minutes\n",
+       "0.13</td>\n",
+       "      <td id=\"T_d8586_row0_col15\" class=\"data row0 col15\" >'\n",
+       "0.00</td>\n",
+       "      <td id=\"T_d8586_row0_col16\" class=\"data row0 col16\" >til\n",
+       "0.00</td>\n",
+       "      <td id=\"T_d8586_row0_col17\" class=\"data row0 col17\" >10\n",
+       "0.11</td>\n",
+       "      <td id=\"T_d8586_row0_col18\" class=\"data row0 col18\" >?\n",
+       "0.11</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_d8586_level0_row1\" class=\"row_heading level0 row1\" >1</th>\n",
+       "      <td id=\"T_d8586_row1_col0\" class=\"data row1 col0\" >1</td>\n",
+       "      <td id=\"T_d8586_row1_col1\" class=\"data row1 col1\" >prob_diff</td>\n",
+       "      <td id=\"T_d8586_row1_col2\" class=\"data row1 col2\" >distant</td>\n",
+       "      <td id=\"T_d8586_row1_col3\" class=\"data row1 col3\" >True</td>\n",
+       "      <td id=\"T_d8586_row1_col4\" class=\"data row1 col4\" >The\n",
+       "0.08</td>\n",
+       "      <td id=\"T_d8586_row1_col5\" class=\"data row1 col5\" >clock\n",
+       "0.12</td>\n",
+       "      <td id=\"T_d8586_row1_col6\" class=\"data row1 col6\" >shows\n",
+       "0.11</td>\n",
+       "      <td id=\"T_d8586_row1_col7\" class=\"data row1 col7\" >9\n",
+       "0.82</td>\n",
+       "      <td id=\"T_d8586_row1_col8\" class=\"data row1 col8\" >:\n",
+       "0.82</td>\n",
+       "      <td id=\"T_d8586_row1_col9\" class=\"data row1 col9\" >47\n",
+       "0.82</td>\n",
+       "      <td id=\"T_d8586_row1_col10\" class=\"data row1 col10\" >PM\n",
+       "0.81</td>\n",
+       "      <td id=\"T_d8586_row1_col11\" class=\"data row1 col11\" >.\n",
+       "0.81</td>\n",
+       "      <td id=\"T_d8586_row1_col12\" class=\"data row1 col12\" >How\n",
+       "0.81</td>\n",
+       "      <td id=\"T_d8586_row1_col13\" class=\"data row1 col13\" >many\n",
        "0.80</td>\n",
-       "      <td id=\"T_1f5ef_row1_col15\" class=\"data row1 col15\" >'t\n",
-       "0.29</td>\n",
-       "      <td id=\"T_1f5ef_row1_col16\" class=\"data row1 col16\" >il\n",
-       "0.29</td>\n",
-       "      <td id=\"T_1f5ef_row1_col17\" class=\"data row1 col17\" >10\n",
-       "0.10</td>\n",
-       "      <td id=\"T_1f5ef_row1_col18\" class=\"data row1 col18\" >?\n",
-       "0.10</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_1f5ef_level0_row2\" class=\"row_heading level0 row2\" >2</th>\n",
-       "      <td id=\"T_1f5ef_row2_col0\" class=\"data row2 col0\" >1</td>\n",
-       "      <td id=\"T_1f5ef_row2_col1\" class=\"data row2 col1\" >token_displacement</td>\n",
-       "      <td id=\"T_1f5ef_row2_col2\" class=\"data row2 col2\" >distant</td>\n",
-       "      <td id=\"T_1f5ef_row2_col3\" class=\"data row2 col3\" >The\n",
+       "      <td id=\"T_d8586_row1_col14\" class=\"data row1 col14\" >minutes\n",
+       "0.82</td>\n",
+       "      <td id=\"T_d8586_row1_col15\" class=\"data row1 col15\" >'\n",
+       "0.05</td>\n",
+       "      <td id=\"T_d8586_row1_col16\" class=\"data row1 col16\" >til\n",
+       "0.05</td>\n",
+       "      <td id=\"T_d8586_row1_col17\" class=\"data row1 col17\" >10\n",
+       "0.24</td>\n",
+       "      <td id=\"T_d8586_row1_col18\" class=\"data row1 col18\" >?\n",
+       "0.24</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_d8586_level0_row2\" class=\"row_heading level0 row2\" >2</th>\n",
+       "      <td id=\"T_d8586_row2_col0\" class=\"data row2 col0\" >1</td>\n",
+       "      <td id=\"T_d8586_row2_col1\" class=\"data row2 col1\" >token_displacement</td>\n",
+       "      <td id=\"T_d8586_row2_col2\" class=\"data row2 col2\" >distant</td>\n",
+       "      <td id=\"T_d8586_row2_col3\" class=\"data row2 col3\" >True</td>\n",
+       "      <td id=\"T_d8586_row2_col4\" class=\"data row2 col4\" >The\n",
+       "0.00</td>\n",
+       "      <td id=\"T_d8586_row2_col5\" class=\"data row2 col5\" >clock\n",
+       "0.00</td>\n",
+       "      <td id=\"T_d8586_row2_col6\" class=\"data row2 col6\" >shows\n",
+       "0.00</td>\n",
+       "      <td id=\"T_d8586_row2_col7\" class=\"data row2 col7\" >9\n",
+       "19.33</td>\n",
+       "      <td id=\"T_d8586_row2_col8\" class=\"data row2 col8\" >:\n",
+       "19.33</td>\n",
+       "      <td id=\"T_d8586_row2_col9\" class=\"data row2 col9\" >47\n",
+       "19.33</td>\n",
+       "      <td id=\"T_d8586_row2_col10\" class=\"data row2 col10\" >PM\n",
+       "12.67</td>\n",
+       "      <td id=\"T_d8586_row2_col11\" class=\"data row2 col11\" >.\n",
+       "12.67</td>\n",
+       "      <td id=\"T_d8586_row2_col12\" class=\"data row2 col12\" >How\n",
        "13.67</td>\n",
-       "      <td id=\"T_1f5ef_row2_col4\" class=\"data row2 col4\" >clock\n",
-       "13.00</td>\n",
-       "      <td id=\"T_1f5ef_row2_col5\" class=\"data row2 col5\" >shows\n",
-       "6.67</td>\n",
-       "      <td id=\"T_1f5ef_row2_col6\" class=\"data row2 col6\" >9\n",
-       "20.00</td>\n",
-       "      <td id=\"T_1f5ef_row2_col7\" class=\"data row2 col7\" >:\n",
-       "20.00</td>\n",
-       "      <td id=\"T_1f5ef_row2_col8\" class=\"data row2 col8\" >47\n",
-       "20.00</td>\n",
-       "      <td id=\"T_1f5ef_row2_col9\" class=\"data row2 col9\" >PM\n",
-       "13.33</td>\n",
-       "      <td id=\"T_1f5ef_row2_col10\" class=\"data row2 col10\" >.\n",
-       "13.33</td>\n",
-       "      <td id=\"T_1f5ef_row2_col11\" class=\"data row2 col11\" >How\n",
+       "      <td id=\"T_d8586_row2_col13\" class=\"data row2 col13\" >many\n",
        "13.67</td>\n",
-       "      <td id=\"T_1f5ef_row2_col12\" class=\"data row2 col12\" >many\n",
+       "      <td id=\"T_d8586_row2_col14\" class=\"data row2 col14\" >minutes\n",
        "13.67</td>\n",
-       "      <td id=\"T_1f5ef_row2_col13\" class=\"data row2 col13\" >min\n",
-       "16.67</td>\n",
-       "      <td id=\"T_1f5ef_row2_col14\" class=\"data row2 col14\" >utes\n",
-       "16.67</td>\n",
-       "      <td id=\"T_1f5ef_row2_col15\" class=\"data row2 col15\" >'t\n",
-       "6.67</td>\n",
-       "      <td id=\"T_1f5ef_row2_col16\" class=\"data row2 col16\" >il\n",
-       "6.67</td>\n",
-       "      <td id=\"T_1f5ef_row2_col17\" class=\"data row2 col17\" >10\n",
+       "      <td id=\"T_d8586_row2_col15\" class=\"data row2 col15\" >'\n",
        "0.00</td>\n",
-       "      <td id=\"T_1f5ef_row2_col18\" class=\"data row2 col18\" >?\n",
+       "      <td id=\"T_d8586_row2_col16\" class=\"data row2 col16\" >til\n",
        "0.00</td>\n",
+       "      <td id=\"T_d8586_row2_col17\" class=\"data row2 col17\" >10\n",
+       "6.67</td>\n",
+       "      <td id=\"T_d8586_row2_col18\" class=\"data row2 col18\" >?\n",
+       "6.67</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n"
       ],
       "text/plain": [
-       "<pandas.io.formats.style.Styler at 0x2a5a73a50>"
+       "<pandas.io.formats.style.Styler at 0x13b34f1c0>"
       ]
      },
      "metadata": {},
@@ -612,7 +668,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 23,
    "metadata": {},
    "outputs": [
     {
@@ -627,134 +683,128 @@
      "data": {
       "text/html": [
        "<style type=\"text/css\">\n",
-       "#T_f1f39_row0_col0, #T_f1f39_row0_col1, #T_f1f39_row1_col0, #T_f1f39_row1_col1, #T_f1f39_row2_col2, #T_f1f39_row3_col0, #T_f1f39_row3_col1, #T_f1f39_row4_col0, #T_f1f39_row4_col1, #T_f1f39_row5_col0, #T_f1f39_row5_col1, #T_f1f39_row6_col0, #T_f1f39_row6_col1, #T_f1f39_row7_col0, #T_f1f39_row7_col1, #T_f1f39_row8_col0, #T_f1f39_row8_col1, #T_f1f39_row9_col0, #T_f1f39_row9_col1, #T_f1f39_row10_col0, #T_f1f39_row10_col1, #T_f1f39_row11_col0, #T_f1f39_row11_col1, #T_f1f39_row12_col2, #T_f1f39_row13_col2 {\n",
+       "#T_5ec4a_row0_col0, #T_5ec4a_row0_col1, #T_5ec4a_row0_col2, #T_5ec4a_row1_col0, #T_5ec4a_row1_col1, #T_5ec4a_row1_col2, #T_5ec4a_row2_col0, #T_5ec4a_row2_col1, #T_5ec4a_row2_col2, #T_5ec4a_row11_col0, #T_5ec4a_row11_col1, #T_5ec4a_row11_col2, #T_5ec4a_row12_col0, #T_5ec4a_row12_col1, #T_5ec4a_row12_col2, #T_5ec4a_row13_col0, #T_5ec4a_row13_col1, #T_5ec4a_row14_col0, #T_5ec4a_row14_col1 {\n",
+       "  background-color: #ffffcc;\n",
+       "  color: #000000;\n",
+       "}\n",
+       "#T_5ec4a_row3_col0, #T_5ec4a_row3_col1, #T_5ec4a_row4_col0, #T_5ec4a_row4_col1, #T_5ec4a_row5_col0, #T_5ec4a_row5_col1, #T_5ec4a_row6_col0, #T_5ec4a_row6_col1, #T_5ec4a_row7_col0, #T_5ec4a_row7_col1, #T_5ec4a_row8_col0, #T_5ec4a_row8_col1, #T_5ec4a_row9_col0, #T_5ec4a_row9_col1, #T_5ec4a_row10_col0, #T_5ec4a_row10_col1, #T_5ec4a_row13_col2, #T_5ec4a_row14_col2 {\n",
        "  background-color: #800026;\n",
        "  color: #f1f1f1;\n",
        "}\n",
-       "#T_f1f39_row0_col2, #T_f1f39_row1_col2, #T_f1f39_row6_col2, #T_f1f39_row7_col2, #T_f1f39_row8_col2, #T_f1f39_row9_col2, #T_f1f39_row10_col2, #T_f1f39_row11_col2 {\n",
-       "  background-color: #ed2e21;\n",
+       "#T_5ec4a_row3_col2, #T_5ec4a_row4_col2, #T_5ec4a_row5_col2 {\n",
+       "  background-color: #e31a1c;\n",
        "  color: #f1f1f1;\n",
        "}\n",
-       "#T_f1f39_row2_col0, #T_f1f39_row2_col1, #T_f1f39_row12_col0, #T_f1f39_row12_col1, #T_f1f39_row13_col0, #T_f1f39_row13_col1, #T_f1f39_row14_col0, #T_f1f39_row14_col1, #T_f1f39_row14_col2, #T_f1f39_row15_col0, #T_f1f39_row15_col1, #T_f1f39_row15_col2 {\n",
-       "  background-color: #ffffcc;\n",
-       "  color: #000000;\n",
-       "}\n",
-       "#T_f1f39_row3_col2, #T_f1f39_row4_col2, #T_f1f39_row5_col2 {\n",
-       "  background-color: #e31a1c;\n",
+       "#T_5ec4a_row6_col2, #T_5ec4a_row7_col2, #T_5ec4a_row8_col2, #T_5ec4a_row9_col2, #T_5ec4a_row10_col2 {\n",
+       "  background-color: #ed2e21;\n",
        "  color: #f1f1f1;\n",
        "}\n",
        "</style>\n",
-       "<table id=\"T_f1f39\">\n",
+       "<table id=\"T_5ec4a\">\n",
        "  <thead>\n",
        "    <tr>\n",
        "      <th class=\"blank level0\" >&nbsp;</th>\n",
-       "      <th id=\"T_f1f39_level0_col0\" class=\"col_heading level0 col0\" >The (0)</th>\n",
-       "      <th id=\"T_f1f39_level0_col1\" class=\"col_heading level0 col1\" >clock (1)</th>\n",
-       "      <th id=\"T_f1f39_level0_col2\" class=\"col_heading level0 col2\" >shows (2)</th>\n",
+       "      <th id=\"T_5ec4a_level0_col0\" class=\"col_heading level0 col0\" >13 (0)</th>\n",
+       "      <th id=\"T_5ec4a_level0_col1\" class=\"col_heading level0 col1\" > minutes (1)</th>\n",
+       "      <th id=\"T_5ec4a_level0_col2\" class=\"col_heading level0 col2\" >. (2)</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row0\" class=\"row_heading level0 row0\" >The (0)</th>\n",
-       "      <td id=\"T_f1f39_row0_col0\" class=\"data row0 col0\" >0.600346</td>\n",
-       "      <td id=\"T_f1f39_row0_col1\" class=\"data row0 col1\" >0.759586</td>\n",
-       "      <td id=\"T_f1f39_row0_col2\" class=\"data row0 col2\" >0.701984</td>\n",
+       "      <th id=\"T_5ec4a_level0_row0\" class=\"row_heading level0 row0\" >The (0)</th>\n",
+       "      <td id=\"T_5ec4a_row0_col0\" class=\"data row0 col0\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row0_col1\" class=\"data row0 col1\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row0_col2\" class=\"data row0 col2\" >0.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row1\" class=\"row_heading level0 row1\" >clock (1)</th>\n",
-       "      <td id=\"T_f1f39_row1_col0\" class=\"data row1 col0\" >0.600346</td>\n",
-       "      <td id=\"T_f1f39_row1_col1\" class=\"data row1 col1\" >0.759586</td>\n",
-       "      <td id=\"T_f1f39_row1_col2\" class=\"data row1 col2\" >0.701984</td>\n",
+       "      <th id=\"T_5ec4a_level0_row1\" class=\"row_heading level0 row1\" >clock (1)</th>\n",
+       "      <td id=\"T_5ec4a_row1_col0\" class=\"data row1 col0\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row1_col1\" class=\"data row1 col1\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row1_col2\" class=\"data row1 col2\" >0.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row2\" class=\"row_heading level0 row2\" >shows (2)</th>\n",
-       "      <td id=\"T_f1f39_row2_col0\" class=\"data row2 col0\" >-0.000000</td>\n",
-       "      <td id=\"T_f1f39_row2_col1\" class=\"data row2 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_f1f39_row2_col2\" class=\"data row2 col2\" >1.000000</td>\n",
+       "      <th id=\"T_5ec4a_level0_row2\" class=\"row_heading level0 row2\" >shows (2)</th>\n",
+       "      <td id=\"T_5ec4a_row2_col0\" class=\"data row2 col0\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row2_col1\" class=\"data row2 col1\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row2_col2\" class=\"data row2 col2\" >0.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row3\" class=\"row_heading level0 row3\" >9 (3)</th>\n",
-       "      <td id=\"T_f1f39_row3_col0\" class=\"data row3 col0\" >0.600346</td>\n",
-       "      <td id=\"T_f1f39_row3_col1\" class=\"data row3 col1\" >0.759586</td>\n",
-       "      <td id=\"T_f1f39_row3_col2\" class=\"data row3 col2\" >0.747480</td>\n",
+       "      <th id=\"T_5ec4a_level0_row3\" class=\"row_heading level0 row3\" >9 (3)</th>\n",
+       "      <td id=\"T_5ec4a_row3_col0\" class=\"data row3 col0\" >0.688956</td>\n",
+       "      <td id=\"T_5ec4a_row3_col1\" class=\"data row3 col1\" >0.759586</td>\n",
+       "      <td id=\"T_5ec4a_row3_col2\" class=\"data row3 col2\" >0.747480</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row4\" class=\"row_heading level0 row4\" >: (4)</th>\n",
-       "      <td id=\"T_f1f39_row4_col0\" class=\"data row4 col0\" >0.600346</td>\n",
-       "      <td id=\"T_f1f39_row4_col1\" class=\"data row4 col1\" >0.759586</td>\n",
-       "      <td id=\"T_f1f39_row4_col2\" class=\"data row4 col2\" >0.747480</td>\n",
+       "      <th id=\"T_5ec4a_level0_row4\" class=\"row_heading level0 row4\" >: (4)</th>\n",
+       "      <td id=\"T_5ec4a_row4_col0\" class=\"data row4 col0\" >0.688956</td>\n",
+       "      <td id=\"T_5ec4a_row4_col1\" class=\"data row4 col1\" >0.759586</td>\n",
+       "      <td id=\"T_5ec4a_row4_col2\" class=\"data row4 col2\" >0.747480</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row5\" class=\"row_heading level0 row5\" >47 (5)</th>\n",
-       "      <td id=\"T_f1f39_row5_col0\" class=\"data row5 col0\" >0.600346</td>\n",
-       "      <td id=\"T_f1f39_row5_col1\" class=\"data row5 col1\" >0.759586</td>\n",
-       "      <td id=\"T_f1f39_row5_col2\" class=\"data row5 col2\" >0.747480</td>\n",
+       "      <th id=\"T_5ec4a_level0_row5\" class=\"row_heading level0 row5\" >47 (5)</th>\n",
+       "      <td id=\"T_5ec4a_row5_col0\" class=\"data row5 col0\" >0.688956</td>\n",
+       "      <td id=\"T_5ec4a_row5_col1\" class=\"data row5 col1\" >0.759586</td>\n",
+       "      <td id=\"T_5ec4a_row5_col2\" class=\"data row5 col2\" >0.747480</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row6\" class=\"row_heading level0 row6\" >PM (6)</th>\n",
-       "      <td id=\"T_f1f39_row6_col0\" class=\"data row6 col0\" >0.600346</td>\n",
-       "      <td id=\"T_f1f39_row6_col1\" class=\"data row6 col1\" >0.759586</td>\n",
-       "      <td id=\"T_f1f39_row6_col2\" class=\"data row6 col2\" >0.701984</td>\n",
+       "      <th id=\"T_5ec4a_level0_row6\" class=\"row_heading level0 row6\" >PM (6)</th>\n",
+       "      <td id=\"T_5ec4a_row6_col0\" class=\"data row6 col0\" >0.688956</td>\n",
+       "      <td id=\"T_5ec4a_row6_col1\" class=\"data row6 col1\" >0.759586</td>\n",
+       "      <td id=\"T_5ec4a_row6_col2\" class=\"data row6 col2\" >0.701984</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row7\" class=\"row_heading level0 row7\" >. (7)</th>\n",
-       "      <td id=\"T_f1f39_row7_col0\" class=\"data row7 col0\" >0.600346</td>\n",
-       "      <td id=\"T_f1f39_row7_col1\" class=\"data row7 col1\" >0.759586</td>\n",
-       "      <td id=\"T_f1f39_row7_col2\" class=\"data row7 col2\" >0.701984</td>\n",
+       "      <th id=\"T_5ec4a_level0_row7\" class=\"row_heading level0 row7\" >. (7)</th>\n",
+       "      <td id=\"T_5ec4a_row7_col0\" class=\"data row7 col0\" >0.688956</td>\n",
+       "      <td id=\"T_5ec4a_row7_col1\" class=\"data row7 col1\" >0.759586</td>\n",
+       "      <td id=\"T_5ec4a_row7_col2\" class=\"data row7 col2\" >0.701984</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row8\" class=\"row_heading level0 row8\" >How (8)</th>\n",
-       "      <td id=\"T_f1f39_row8_col0\" class=\"data row8 col0\" >0.600346</td>\n",
-       "      <td id=\"T_f1f39_row8_col1\" class=\"data row8 col1\" >0.759586</td>\n",
-       "      <td id=\"T_f1f39_row8_col2\" class=\"data row8 col2\" >0.701984</td>\n",
+       "      <th id=\"T_5ec4a_level0_row8\" class=\"row_heading level0 row8\" >How (8)</th>\n",
+       "      <td id=\"T_5ec4a_row8_col0\" class=\"data row8 col0\" >0.688956</td>\n",
+       "      <td id=\"T_5ec4a_row8_col1\" class=\"data row8 col1\" >0.759586</td>\n",
+       "      <td id=\"T_5ec4a_row8_col2\" class=\"data row8 col2\" >0.701984</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row9\" class=\"row_heading level0 row9\" >many (9)</th>\n",
-       "      <td id=\"T_f1f39_row9_col0\" class=\"data row9 col0\" >0.600346</td>\n",
-       "      <td id=\"T_f1f39_row9_col1\" class=\"data row9 col1\" >0.759586</td>\n",
-       "      <td id=\"T_f1f39_row9_col2\" class=\"data row9 col2\" >0.701984</td>\n",
+       "      <th id=\"T_5ec4a_level0_row9\" class=\"row_heading level0 row9\" >many (9)</th>\n",
+       "      <td id=\"T_5ec4a_row9_col0\" class=\"data row9 col0\" >0.688956</td>\n",
+       "      <td id=\"T_5ec4a_row9_col1\" class=\"data row9 col1\" >0.759586</td>\n",
+       "      <td id=\"T_5ec4a_row9_col2\" class=\"data row9 col2\" >0.701984</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row10\" class=\"row_heading level0 row10\" >min (10)</th>\n",
-       "      <td id=\"T_f1f39_row10_col0\" class=\"data row10 col0\" >0.600346</td>\n",
-       "      <td id=\"T_f1f39_row10_col1\" class=\"data row10 col1\" >0.759586</td>\n",
-       "      <td id=\"T_f1f39_row10_col2\" class=\"data row10 col2\" >0.701984</td>\n",
+       "      <th id=\"T_5ec4a_level0_row10\" class=\"row_heading level0 row10\" >minutes (10)</th>\n",
+       "      <td id=\"T_5ec4a_row10_col0\" class=\"data row10 col0\" >0.688956</td>\n",
+       "      <td id=\"T_5ec4a_row10_col1\" class=\"data row10 col1\" >0.759586</td>\n",
+       "      <td id=\"T_5ec4a_row10_col2\" class=\"data row10 col2\" >0.701984</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row11\" class=\"row_heading level0 row11\" >utes (11)</th>\n",
-       "      <td id=\"T_f1f39_row11_col0\" class=\"data row11 col0\" >0.600346</td>\n",
-       "      <td id=\"T_f1f39_row11_col1\" class=\"data row11 col1\" >0.759586</td>\n",
-       "      <td id=\"T_f1f39_row11_col2\" class=\"data row11 col2\" >0.701984</td>\n",
+       "      <th id=\"T_5ec4a_level0_row11\" class=\"row_heading level0 row11\" >' (11)</th>\n",
+       "      <td id=\"T_5ec4a_row11_col0\" class=\"data row11 col0\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row11_col1\" class=\"data row11 col1\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row11_col2\" class=\"data row11 col2\" >0.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row12\" class=\"row_heading level0 row12\" >'t (12)</th>\n",
-       "      <td id=\"T_f1f39_row12_col0\" class=\"data row12 col0\" >-0.000000</td>\n",
-       "      <td id=\"T_f1f39_row12_col1\" class=\"data row12 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_f1f39_row12_col2\" class=\"data row12 col2\" >1.000000</td>\n",
+       "      <th id=\"T_5ec4a_level0_row12\" class=\"row_heading level0 row12\" >til (12)</th>\n",
+       "      <td id=\"T_5ec4a_row12_col0\" class=\"data row12 col0\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row12_col1\" class=\"data row12 col1\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row12_col2\" class=\"data row12 col2\" >0.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row13\" class=\"row_heading level0 row13\" >il (13)</th>\n",
-       "      <td id=\"T_f1f39_row13_col0\" class=\"data row13 col0\" >-0.000000</td>\n",
-       "      <td id=\"T_f1f39_row13_col1\" class=\"data row13 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_f1f39_row13_col2\" class=\"data row13 col2\" >1.000000</td>\n",
+       "      <th id=\"T_5ec4a_level0_row13\" class=\"row_heading level0 row13\" >10 (13)</th>\n",
+       "      <td id=\"T_5ec4a_row13_col0\" class=\"data row13 col0\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row13_col1\" class=\"data row13 col1\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row13_col2\" class=\"data row13 col2\" >1.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row14\" class=\"row_heading level0 row14\" >10 (14)</th>\n",
-       "      <td id=\"T_f1f39_row14_col0\" class=\"data row14 col0\" >-0.000000</td>\n",
-       "      <td id=\"T_f1f39_row14_col1\" class=\"data row14 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_f1f39_row14_col2\" class=\"data row14 col2\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_f1f39_level0_row15\" class=\"row_heading level0 row15\" >? (15)</th>\n",
-       "      <td id=\"T_f1f39_row15_col0\" class=\"data row15 col0\" >-0.000000</td>\n",
-       "      <td id=\"T_f1f39_row15_col1\" class=\"data row15 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_f1f39_row15_col2\" class=\"data row15 col2\" >0.000000</td>\n",
+       "      <th id=\"T_5ec4a_level0_row14\" class=\"row_heading level0 row14\" >? (14)</th>\n",
+       "      <td id=\"T_5ec4a_row14_col0\" class=\"data row14 col0\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row14_col1\" class=\"data row14 col1\" >0.000000</td>\n",
+       "      <td id=\"T_5ec4a_row14_col2\" class=\"data row14 col2\" >1.000000</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n"
       ],
       "text/plain": [
-       "<pandas.io.formats.style.Styler at 0x2db989890>"
+       "<pandas.io.formats.style.Styler at 0x13b34da90>"
       ]
      },
      "metadata": {},
@@ -772,154 +822,160 @@
      "data": {
       "text/html": [
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-       "#T_11bb1_row0_col0 {\n",
-       "  background-color: #d51020;\n",
-       "  color: #f1f1f1;\n",
+       "#T_0a5da_row0_col0 {\n",
+       "  background-color: #fed774;\n",
+       "  color: #000000;\n",
        "}\n",
-       "#T_11bb1_row0_col1, #T_11bb1_row0_col2, #T_11bb1_row1_col1, #T_11bb1_row1_col2, #T_11bb1_row2_col2, #T_11bb1_row3_col0, #T_11bb1_row3_col1, #T_11bb1_row3_col2, #T_11bb1_row4_col0, #T_11bb1_row4_col1, #T_11bb1_row4_col2, #T_11bb1_row5_col0, #T_11bb1_row5_col1, #T_11bb1_row5_col2, #T_11bb1_row6_col1, #T_11bb1_row6_col2, #T_11bb1_row7_col1, #T_11bb1_row7_col2, #T_11bb1_row8_col1, #T_11bb1_row8_col2, #T_11bb1_row9_col1, #T_11bb1_row9_col2, #T_11bb1_row10_col0, #T_11bb1_row10_col1, #T_11bb1_row10_col2, #T_11bb1_row11_col0, #T_11bb1_row11_col1, #T_11bb1_row11_col2, #T_11bb1_row12_col2, #T_11bb1_row13_col2 {\n",
-       "  background-color: #800026;\n",
-       "  color: #f1f1f1;\n",
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-       "#T_11bb1_row1_col0 {\n",
-       "  background-color: #fd6e33;\n",
-       "  color: #f1f1f1;\n",
+       "#T_0a5da_row1_col0 {\n",
+       "  background-color: #feb04b;\n",
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        "}\n",
-       "#T_11bb1_row2_col0 {\n",
-       "  background-color: #ffe590;\n",
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-       "  background-color: #ffffcc;\n",
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-       "#T_11bb1_row6_col0, #T_11bb1_row7_col0 {\n",
-       "  background-color: #b70026;\n",
+       "#T_0a5da_row3_col0, #T_0a5da_row3_col1, #T_0a5da_row3_col2, #T_0a5da_row4_col0, #T_0a5da_row4_col1, #T_0a5da_row4_col2, #T_0a5da_row5_col0, #T_0a5da_row5_col1, #T_0a5da_row5_col2, #T_0a5da_row6_col1, #T_0a5da_row6_col2, #T_0a5da_row7_col1, #T_0a5da_row7_col2, #T_0a5da_row8_col1, #T_0a5da_row8_col2, #T_0a5da_row9_col1, #T_0a5da_row9_col2, #T_0a5da_row10_col1, #T_0a5da_row10_col2, #T_0a5da_row13_col2, #T_0a5da_row14_col2 {\n",
+       "  background-color: #800026;\n",
+       "  color: #f1f1f1;\n",
+       "}\n",
+       "#T_0a5da_row6_col0, #T_0a5da_row7_col0 {\n",
+       "  background-color: #880026;\n",
        "  color: #f1f1f1;\n",
        "}\n",
-       "#T_11bb1_row8_col0 {\n",
-       "  background-color: #970026;\n",
+       "#T_0a5da_row8_col0 {\n",
+       "  background-color: #930026;\n",
+       "  color: #f1f1f1;\n",
+       "}\n",
+       "#T_0a5da_row9_col0 {\n",
+       "  background-color: #a40026;\n",
        "  color: #f1f1f1;\n",
        "}\n",
-       "#T_11bb1_row9_col0 {\n",
-       "  background-color: #fc4d2a;\n",
+       "#T_0a5da_row10_col0 {\n",
+       "  background-color: #820026;\n",
        "  color: #f1f1f1;\n",
        "}\n",
-       "#T_11bb1_row12_col0, #T_11bb1_row13_col0 {\n",
-       "  background-color: #fedf83;\n",
+       "#T_0a5da_row11_col2, #T_0a5da_row12_col2 {\n",
+       "  background-color: #ffe997;\n",
+       "  color: #000000;\n",
+       "}\n",
+       "#T_0a5da_row13_col0, #T_0a5da_row14_col0 {\n",
+       "  background-color: #fff8ba;\n",
        "  color: #000000;\n",
        "}\n",
        "</style>\n",
-       "<table id=\"T_11bb1\">\n",
+       "<table id=\"T_0a5da\">\n",
        "  <thead>\n",
        "    <tr>\n",
        "      <th class=\"blank level0\" >&nbsp;</th>\n",
-       "      <th id=\"T_11bb1_level0_col0\" class=\"col_heading level0 col0\" >13 (0)</th>\n",
-       "      <th id=\"T_11bb1_level0_col1\" class=\"col_heading level0 col1\" > minutes (1)</th>\n",
-       "      <th id=\"T_11bb1_level0_col2\" class=\"col_heading level0 col2\" >. (2)</th>\n",
+       "      <th id=\"T_0a5da_level0_col0\" class=\"col_heading level0 col0\" >13 (0)</th>\n",
+       "      <th id=\"T_0a5da_level0_col1\" class=\"col_heading level0 col1\" > minutes (1)</th>\n",
+       "      <th id=\"T_0a5da_level0_col2\" class=\"col_heading level0 col2\" >. (2)</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row0\" class=\"row_heading level0 row0\" >The (0)</th>\n",
-       "      <td id=\"T_11bb1_row0_col0\" class=\"data row0 col0\" >0.646714</td>\n",
-       "      <td id=\"T_11bb1_row0_col1\" class=\"data row0 col1\" >0.999919</td>\n",
-       "      <td id=\"T_11bb1_row0_col2\" class=\"data row0 col2\" >0.619983</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row1\" class=\"row_heading level0 row1\" >clock (1)</th>\n",
-       "      <td id=\"T_11bb1_row1_col0\" class=\"data row1 col0\" >0.489712</td>\n",
-       "      <td id=\"T_11bb1_row1_col1\" class=\"data row1 col1\" >0.999919</td>\n",
-       "      <td id=\"T_11bb1_row1_col2\" class=\"data row1 col2\" >0.619983</td>\n",
+       "      <th id=\"T_0a5da_level0_row0\" class=\"row_heading level0 row0\" >The (0)</th>\n",
+       "      <td id=\"T_0a5da_row0_col0\" class=\"data row0 col0\" >0.239891</td>\n",
+       "      <td id=\"T_0a5da_row0_col1\" class=\"data row0 col1\" >0.000012</td>\n",
+       "      <td id=\"T_0a5da_row0_col2\" class=\"data row0 col2\" >0.004187</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row2\" class=\"row_heading level0 row2\" >shows (2)</th>\n",
-       "      <td id=\"T_11bb1_row2_col0\" class=\"data row2 col0\" >0.231651</td>\n",
-       "      <td id=\"T_11bb1_row2_col1\" class=\"data row2 col1\" >0.000033</td>\n",
-       "      <td id=\"T_11bb1_row2_col2\" class=\"data row2 col2\" >0.619983</td>\n",
+       "      <th id=\"T_0a5da_level0_row1\" class=\"row_heading level0 row1\" >clock (1)</th>\n",
+       "      <td id=\"T_0a5da_row1_col0\" class=\"data row1 col0\" >0.339138</td>\n",
+       "      <td id=\"T_0a5da_row1_col1\" class=\"data row1 col1\" >0.000061</td>\n",
+       "      <td id=\"T_0a5da_row1_col2\" class=\"data row1 col2\" >0.025875</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row3\" class=\"row_heading level0 row3\" >9 (3)</th>\n",
-       "      <td id=\"T_11bb1_row3_col0\" class=\"data row3 col0\" >0.785889</td>\n",
-       "      <td id=\"T_11bb1_row3_col1\" class=\"data row3 col1\" >0.999919</td>\n",
-       "      <td id=\"T_11bb1_row3_col2\" class=\"data row3 col2\" >0.619983</td>\n",
+       "      <th id=\"T_0a5da_level0_row2\" class=\"row_heading level0 row2\" >shows (2)</th>\n",
+       "      <td id=\"T_0a5da_row2_col0\" class=\"data row2 col0\" >0.299949</td>\n",
+       "      <td id=\"T_0a5da_row2_col1\" class=\"data row2 col1\" >0.000029</td>\n",
+       "      <td id=\"T_0a5da_row2_col2\" class=\"data row2 col2\" >0.024715</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row4\" class=\"row_heading level0 row4\" >: (4)</th>\n",
-       "      <td id=\"T_11bb1_row4_col0\" class=\"data row4 col0\" >0.785889</td>\n",
-       "      <td id=\"T_11bb1_row4_col1\" class=\"data row4 col1\" >0.999919</td>\n",
-       "      <td id=\"T_11bb1_row4_col2\" class=\"data row4 col2\" >0.619983</td>\n",
+       "      <th id=\"T_0a5da_level0_row3\" class=\"row_heading level0 row3\" >9 (3)</th>\n",
+       "      <td id=\"T_0a5da_row3_col0\" class=\"data row3 col0\" >0.817992</td>\n",
+       "      <td id=\"T_0a5da_row3_col1\" class=\"data row3 col1\" >0.999872</td>\n",
+       "      <td id=\"T_0a5da_row3_col2\" class=\"data row3 col2\" >0.640487</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row5\" class=\"row_heading level0 row5\" >47 (5)</th>\n",
-       "      <td id=\"T_11bb1_row5_col0\" class=\"data row5 col0\" >0.785889</td>\n",
-       "      <td id=\"T_11bb1_row5_col1\" class=\"data row5 col1\" >0.999919</td>\n",
-       "      <td id=\"T_11bb1_row5_col2\" class=\"data row5 col2\" >0.619983</td>\n",
+       "      <th id=\"T_0a5da_level0_row4\" class=\"row_heading level0 row4\" >: (4)</th>\n",
+       "      <td id=\"T_0a5da_row4_col0\" class=\"data row4 col0\" >0.817992</td>\n",
+       "      <td id=\"T_0a5da_row4_col1\" class=\"data row4 col1\" >0.999872</td>\n",
+       "      <td id=\"T_0a5da_row4_col2\" class=\"data row4 col2\" >0.640487</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row6\" class=\"row_heading level0 row6\" >PM (6)</th>\n",
-       "      <td id=\"T_11bb1_row6_col0\" class=\"data row6 col0\" >0.707377</td>\n",
-       "      <td id=\"T_11bb1_row6_col1\" class=\"data row6 col1\" >0.999919</td>\n",
-       "      <td id=\"T_11bb1_row6_col2\" class=\"data row6 col2\" >0.619983</td>\n",
+       "      <th id=\"T_0a5da_level0_row5\" class=\"row_heading level0 row5\" >47 (5)</th>\n",
+       "      <td id=\"T_0a5da_row5_col0\" class=\"data row5 col0\" >0.817992</td>\n",
+       "      <td id=\"T_0a5da_row5_col1\" class=\"data row5 col1\" >0.999872</td>\n",
+       "      <td id=\"T_0a5da_row5_col2\" class=\"data row5 col2\" >0.640487</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row7\" class=\"row_heading level0 row7\" >. (7)</th>\n",
-       "      <td id=\"T_11bb1_row7_col0\" class=\"data row7 col0\" >0.707377</td>\n",
-       "      <td id=\"T_11bb1_row7_col1\" class=\"data row7 col1\" >0.999919</td>\n",
-       "      <td id=\"T_11bb1_row7_col2\" class=\"data row7 col2\" >0.619983</td>\n",
+       "      <th id=\"T_0a5da_level0_row6\" class=\"row_heading level0 row6\" >PM (6)</th>\n",
+       "      <td id=\"T_0a5da_row6_col0\" class=\"data row6 col0\" >0.804387</td>\n",
+       "      <td id=\"T_0a5da_row6_col1\" class=\"data row6 col1\" >0.999872</td>\n",
+       "      <td id=\"T_0a5da_row6_col2\" class=\"data row6 col2\" >0.640487</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row8\" class=\"row_heading level0 row8\" >How (8)</th>\n",
-       "      <td id=\"T_11bb1_row8_col0\" class=\"data row8 col0\" >0.754307</td>\n",
-       "      <td id=\"T_11bb1_row8_col1\" class=\"data row8 col1\" >0.999919</td>\n",
-       "      <td id=\"T_11bb1_row8_col2\" class=\"data row8 col2\" >0.619983</td>\n",
+       "      <th id=\"T_0a5da_level0_row7\" class=\"row_heading level0 row7\" >. (7)</th>\n",
+       "      <td id=\"T_0a5da_row7_col0\" class=\"data row7 col0\" >0.804387</td>\n",
+       "      <td id=\"T_0a5da_row7_col1\" class=\"data row7 col1\" >0.999872</td>\n",
+       "      <td id=\"T_0a5da_row7_col2\" class=\"data row7 col2\" >0.640487</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row9\" class=\"row_heading level0 row9\" >many (9)</th>\n",
-       "      <td id=\"T_11bb1_row9_col0\" class=\"data row9 col0\" >0.535038</td>\n",
-       "      <td id=\"T_11bb1_row9_col1\" class=\"data row9 col1\" >0.999919</td>\n",
-       "      <td id=\"T_11bb1_row9_col2\" class=\"data row9 col2\" >0.619983</td>\n",
+       "      <th id=\"T_0a5da_level0_row8\" class=\"row_heading level0 row8\" >How (8)</th>\n",
+       "      <td id=\"T_0a5da_row8_col0\" class=\"data row8 col0\" >0.787602</td>\n",
+       "      <td id=\"T_0a5da_row8_col1\" class=\"data row8 col1\" >0.999872</td>\n",
+       "      <td id=\"T_0a5da_row8_col2\" class=\"data row8 col2\" >0.640487</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row10\" class=\"row_heading level0 row10\" >min (10)</th>\n",
-       "      <td id=\"T_11bb1_row10_col0\" class=\"data row10 col0\" >0.785592</td>\n",
-       "      <td id=\"T_11bb1_row10_col1\" class=\"data row10 col1\" >0.999919</td>\n",
-       "      <td id=\"T_11bb1_row10_col2\" class=\"data row10 col2\" >0.619983</td>\n",
+       "      <th id=\"T_0a5da_level0_row9\" class=\"row_heading level0 row9\" >many (9)</th>\n",
+       "      <td id=\"T_0a5da_row9_col0\" class=\"data row9 col0\" >0.758278</td>\n",
+       "      <td id=\"T_0a5da_row9_col1\" class=\"data row9 col1\" >0.999872</td>\n",
+       "      <td id=\"T_0a5da_row9_col2\" class=\"data row9 col2\" >0.640487</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row11\" class=\"row_heading level0 row11\" >utes (11)</th>\n",
-       "      <td id=\"T_11bb1_row11_col0\" class=\"data row11 col0\" >0.785592</td>\n",
-       "      <td id=\"T_11bb1_row11_col1\" class=\"data row11 col1\" >0.999919</td>\n",
-       "      <td id=\"T_11bb1_row11_col2\" class=\"data row11 col2\" >0.619983</td>\n",
+       "      <th id=\"T_0a5da_level0_row10\" class=\"row_heading level0 row10\" >minutes (10)</th>\n",
+       "      <td id=\"T_0a5da_row10_col0\" class=\"data row10 col0\" >0.814092</td>\n",
+       "      <td id=\"T_0a5da_row10_col1\" class=\"data row10 col1\" >0.999872</td>\n",
+       "      <td id=\"T_0a5da_row10_col2\" class=\"data row10 col2\" >0.640487</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row12\" class=\"row_heading level0 row12\" >'t (12)</th>\n",
-       "      <td id=\"T_11bb1_row12_col0\" class=\"data row12 col0\" >0.257238</td>\n",
-       "      <td id=\"T_11bb1_row12_col1\" class=\"data row12 col1\" >0.000704</td>\n",
-       "      <td id=\"T_11bb1_row12_col2\" class=\"data row12 col2\" >0.619983</td>\n",
+       "      <th id=\"T_0a5da_level0_row11\" class=\"row_heading level0 row11\" >' (11)</th>\n",
+       "      <td id=\"T_0a5da_row11_col0\" class=\"data row11 col0\" >0.042329</td>\n",
+       "      <td id=\"T_0a5da_row11_col1\" class=\"data row11 col1\" >0.001205</td>\n",
+       "      <td id=\"T_0a5da_row11_col2\" class=\"data row11 col2\" >0.102655</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row13\" class=\"row_heading level0 row13\" >il (13)</th>\n",
-       "      <td id=\"T_11bb1_row13_col0\" class=\"data row13 col0\" >0.257238</td>\n",
-       "      <td id=\"T_11bb1_row13_col1\" class=\"data row13 col1\" >0.000704</td>\n",
-       "      <td id=\"T_11bb1_row13_col2\" class=\"data row13 col2\" >0.619983</td>\n",
+       "      <th id=\"T_0a5da_level0_row12\" class=\"row_heading level0 row12\" >til (12)</th>\n",
+       "      <td id=\"T_0a5da_row12_col0\" class=\"data row12 col0\" >0.042329</td>\n",
+       "      <td id=\"T_0a5da_row12_col1\" class=\"data row12 col1\" >0.001205</td>\n",
+       "      <td id=\"T_0a5da_row12_col2\" class=\"data row12 col2\" >0.102655</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row14\" class=\"row_heading level0 row14\" >10 (14)</th>\n",
-       "      <td id=\"T_11bb1_row14_col0\" class=\"data row14 col0\" >0.113566</td>\n",
-       "      <td id=\"T_11bb1_row14_col1\" class=\"data row14 col1\" >0.000129</td>\n",
-       "      <td id=\"T_11bb1_row14_col2\" class=\"data row14 col2\" >0.194634</td>\n",
+       "      <th id=\"T_0a5da_level0_row13\" class=\"row_heading level0 row13\" >10 (13)</th>\n",
+       "      <td id=\"T_0a5da_row13_col0\" class=\"data row13 col0\" >0.082409</td>\n",
+       "      <td id=\"T_0a5da_row13_col1\" class=\"data row13 col1\" >0.000164</td>\n",
+       "      <td id=\"T_0a5da_row13_col2\" class=\"data row13 col2\" >0.640487</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_11bb1_level0_row15\" class=\"row_heading level0 row15\" >? (15)</th>\n",
-       "      <td id=\"T_11bb1_row15_col0\" class=\"data row15 col0\" >0.113566</td>\n",
-       "      <td id=\"T_11bb1_row15_col1\" class=\"data row15 col1\" >0.000129</td>\n",
-       "      <td id=\"T_11bb1_row15_col2\" class=\"data row15 col2\" >0.194634</td>\n",
+       "      <th id=\"T_0a5da_level0_row14\" class=\"row_heading level0 row14\" >? (14)</th>\n",
+       "      <td id=\"T_0a5da_row14_col0\" class=\"data row14 col0\" >0.082409</td>\n",
+       "      <td id=\"T_0a5da_row14_col1\" class=\"data row14 col1\" >0.000164</td>\n",
+       "      <td id=\"T_0a5da_row14_col2\" class=\"data row14 col2\" >0.640487</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n"
       ],
       "text/plain": [
-       "<pandas.io.formats.style.Styler at 0x2fc677750>"
+       "<pandas.io.formats.style.Styler at 0x13b34de20>"
       ]
      },
      "metadata": {},
@@ -937,142 +993,132 @@
      "data": {
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        "<style type=\"text/css\">\n",
-       "#T_ffd10_row0_col0, #T_ffd10_row1_col0, #T_ffd10_row6_col0, #T_ffd10_row7_col0, #T_ffd10_row8_col0, #T_ffd10_row9_col0 {\n",
-       "  background-color: #fff8bb;\n",
+       "#T_e8cd0_row0_col0, #T_e8cd0_row0_col1, #T_e8cd0_row0_col2, #T_e8cd0_row1_col0, #T_e8cd0_row1_col1, #T_e8cd0_row1_col2, #T_e8cd0_row2_col0, #T_e8cd0_row2_col1, #T_e8cd0_row2_col2, #T_e8cd0_row11_col0, #T_e8cd0_row11_col1, #T_e8cd0_row11_col2, #T_e8cd0_row12_col0, #T_e8cd0_row12_col1, #T_e8cd0_row12_col2, #T_e8cd0_row13_col0, #T_e8cd0_row13_col1, #T_e8cd0_row14_col0, #T_e8cd0_row14_col1 {\n",
+       "  background-color: #ffffcc;\n",
        "  color: #000000;\n",
        "}\n",
-       "#T_ffd10_row0_col1, #T_ffd10_row0_col2, #T_ffd10_row1_col2, #T_ffd10_row2_col2, #T_ffd10_row3_col0, #T_ffd10_row3_col1, #T_ffd10_row3_col2, #T_ffd10_row4_col0, #T_ffd10_row4_col1, #T_ffd10_row4_col2, #T_ffd10_row5_col0, #T_ffd10_row5_col1, #T_ffd10_row5_col2, #T_ffd10_row6_col2, #T_ffd10_row7_col2, #T_ffd10_row8_col1, #T_ffd10_row8_col2, #T_ffd10_row9_col1, #T_ffd10_row9_col2, #T_ffd10_row10_col1, #T_ffd10_row10_col2, #T_ffd10_row11_col1, #T_ffd10_row11_col2, #T_ffd10_row12_col2, #T_ffd10_row13_col2 {\n",
+       "#T_e8cd0_row3_col0, #T_e8cd0_row3_col2, #T_e8cd0_row4_col0, #T_e8cd0_row4_col2, #T_e8cd0_row5_col0, #T_e8cd0_row5_col2, #T_e8cd0_row6_col2, #T_e8cd0_row7_col2, #T_e8cd0_row8_col1, #T_e8cd0_row8_col2, #T_e8cd0_row9_col1, #T_e8cd0_row9_col2, #T_e8cd0_row10_col1, #T_e8cd0_row10_col2, #T_e8cd0_row13_col2, #T_e8cd0_row14_col2 {\n",
        "  background-color: #800026;\n",
        "  color: #f1f1f1;\n",
        "}\n",
-       "#T_ffd10_row1_col1 {\n",
+       "#T_e8cd0_row3_col1, #T_e8cd0_row4_col1, #T_e8cd0_row5_col1 {\n",
        "  background-color: #b00026;\n",
        "  color: #f1f1f1;\n",
        "}\n",
-       "#T_ffd10_row2_col0, #T_ffd10_row2_col1, #T_ffd10_row12_col0, #T_ffd10_row12_col1, #T_ffd10_row13_col0, #T_ffd10_row13_col1, #T_ffd10_row14_col0, #T_ffd10_row14_col1, #T_ffd10_row14_col2, #T_ffd10_row15_col0, #T_ffd10_row15_col1, #T_ffd10_row15_col2 {\n",
-       "  background-color: #ffffcc;\n",
+       "#T_e8cd0_row6_col0, #T_e8cd0_row7_col0, #T_e8cd0_row8_col0, #T_e8cd0_row9_col0, #T_e8cd0_row10_col0 {\n",
+       "  background-color: #fff8bb;\n",
        "  color: #000000;\n",
        "}\n",
-       "#T_ffd10_row6_col1, #T_ffd10_row7_col1 {\n",
-       "  background-color: #970026;\n",
-       "  color: #f1f1f1;\n",
-       "}\n",
-       "#T_ffd10_row10_col0, #T_ffd10_row11_col0 {\n",
-       "  background-color: #fd8c3c;\n",
+       "#T_e8cd0_row6_col1, #T_e8cd0_row7_col1 {\n",
+       "  background-color: #c40524;\n",
        "  color: #f1f1f1;\n",
        "}\n",
        "</style>\n",
-       "<table id=\"T_ffd10\">\n",
+       "<table id=\"T_e8cd0\">\n",
        "  <thead>\n",
        "    <tr>\n",
        "      <th class=\"blank level0\" >&nbsp;</th>\n",
-       "      <th id=\"T_ffd10_level0_col0\" class=\"col_heading level0 col0\" >13 (0)</th>\n",
-       "      <th id=\"T_ffd10_level0_col1\" class=\"col_heading level0 col1\" > minutes (1)</th>\n",
-       "      <th id=\"T_ffd10_level0_col2\" class=\"col_heading level0 col2\" >. (2)</th>\n",
+       "      <th id=\"T_e8cd0_level0_col0\" class=\"col_heading level0 col0\" >13 (0)</th>\n",
+       "      <th id=\"T_e8cd0_level0_col1\" class=\"col_heading level0 col1\" > minutes (1)</th>\n",
+       "      <th id=\"T_e8cd0_level0_col2\" class=\"col_heading level0 col2\" >. (2)</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row0\" class=\"row_heading level0 row0\" >The (0)</th>\n",
-       "      <td id=\"T_ffd10_row0_col0\" class=\"data row0 col0\" >1.000000</td>\n",
-       "      <td id=\"T_ffd10_row0_col1\" class=\"data row0 col1\" >20.000000</td>\n",
-       "      <td id=\"T_ffd10_row0_col2\" class=\"data row0 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row0\" class=\"row_heading level0 row0\" >The (0)</th>\n",
+       "      <td id=\"T_e8cd0_row0_col0\" class=\"data row0 col0\" >0.000000</td>\n",
+       "      <td id=\"T_e8cd0_row0_col1\" class=\"data row0 col1\" >0.000000</td>\n",
+       "      <td id=\"T_e8cd0_row0_col2\" class=\"data row0 col2\" >0.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row1\" class=\"row_heading level0 row1\" >clock (1)</th>\n",
-       "      <td id=\"T_ffd10_row1_col0\" class=\"data row1 col0\" >1.000000</td>\n",
-       "      <td id=\"T_ffd10_row1_col1\" class=\"data row1 col1\" >18.000000</td>\n",
-       "      <td id=\"T_ffd10_row1_col2\" class=\"data row1 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row1\" class=\"row_heading level0 row1\" >clock (1)</th>\n",
+       "      <td id=\"T_e8cd0_row1_col0\" class=\"data row1 col0\" >0.000000</td>\n",
+       "      <td id=\"T_e8cd0_row1_col1\" class=\"data row1 col1\" >0.000000</td>\n",
+       "      <td id=\"T_e8cd0_row1_col2\" class=\"data row1 col2\" >0.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row2\" class=\"row_heading level0 row2\" >shows (2)</th>\n",
-       "      <td id=\"T_ffd10_row2_col0\" class=\"data row2 col0\" >0.000000</td>\n",
-       "      <td id=\"T_ffd10_row2_col1\" class=\"data row2 col1\" >0.000000</td>\n",
-       "      <td id=\"T_ffd10_row2_col2\" class=\"data row2 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row2\" class=\"row_heading level0 row2\" >shows (2)</th>\n",
+       "      <td id=\"T_e8cd0_row2_col0\" class=\"data row2 col0\" >0.000000</td>\n",
+       "      <td id=\"T_e8cd0_row2_col1\" class=\"data row2 col1\" >0.000000</td>\n",
+       "      <td id=\"T_e8cd0_row2_col2\" class=\"data row2 col2\" >0.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row3\" class=\"row_heading level0 row3\" >9 (3)</th>\n",
-       "      <td id=\"T_ffd10_row3_col0\" class=\"data row3 col0\" >20.000000</td>\n",
-       "      <td id=\"T_ffd10_row3_col1\" class=\"data row3 col1\" >20.000000</td>\n",
-       "      <td id=\"T_ffd10_row3_col2\" class=\"data row3 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row3\" class=\"row_heading level0 row3\" >9 (3)</th>\n",
+       "      <td id=\"T_e8cd0_row3_col0\" class=\"data row3 col0\" >20.000000</td>\n",
+       "      <td id=\"T_e8cd0_row3_col1\" class=\"data row3 col1\" >18.000000</td>\n",
+       "      <td id=\"T_e8cd0_row3_col2\" class=\"data row3 col2\" >20.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row4\" class=\"row_heading level0 row4\" >: (4)</th>\n",
-       "      <td id=\"T_ffd10_row4_col0\" class=\"data row4 col0\" >20.000000</td>\n",
-       "      <td id=\"T_ffd10_row4_col1\" class=\"data row4 col1\" >20.000000</td>\n",
-       "      <td id=\"T_ffd10_row4_col2\" class=\"data row4 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row4\" class=\"row_heading level0 row4\" >: (4)</th>\n",
+       "      <td id=\"T_e8cd0_row4_col0\" class=\"data row4 col0\" >20.000000</td>\n",
+       "      <td id=\"T_e8cd0_row4_col1\" class=\"data row4 col1\" >18.000000</td>\n",
+       "      <td id=\"T_e8cd0_row4_col2\" class=\"data row4 col2\" >20.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row5\" class=\"row_heading level0 row5\" >47 (5)</th>\n",
-       "      <td id=\"T_ffd10_row5_col0\" class=\"data row5 col0\" >20.000000</td>\n",
-       "      <td id=\"T_ffd10_row5_col1\" class=\"data row5 col1\" >20.000000</td>\n",
-       "      <td id=\"T_ffd10_row5_col2\" class=\"data row5 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row5\" class=\"row_heading level0 row5\" >47 (5)</th>\n",
+       "      <td id=\"T_e8cd0_row5_col0\" class=\"data row5 col0\" >20.000000</td>\n",
+       "      <td id=\"T_e8cd0_row5_col1\" class=\"data row5 col1\" >18.000000</td>\n",
+       "      <td id=\"T_e8cd0_row5_col2\" class=\"data row5 col2\" >20.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row6\" class=\"row_heading level0 row6\" >PM (6)</th>\n",
-       "      <td id=\"T_ffd10_row6_col0\" class=\"data row6 col0\" >1.000000</td>\n",
-       "      <td id=\"T_ffd10_row6_col1\" class=\"data row6 col1\" >19.000000</td>\n",
-       "      <td id=\"T_ffd10_row6_col2\" class=\"data row6 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row6\" class=\"row_heading level0 row6\" >PM (6)</th>\n",
+       "      <td id=\"T_e8cd0_row6_col0\" class=\"data row6 col0\" >1.000000</td>\n",
+       "      <td id=\"T_e8cd0_row6_col1\" class=\"data row6 col1\" >17.000000</td>\n",
+       "      <td id=\"T_e8cd0_row6_col2\" class=\"data row6 col2\" >20.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row7\" class=\"row_heading level0 row7\" >. (7)</th>\n",
-       "      <td id=\"T_ffd10_row7_col0\" class=\"data row7 col0\" >1.000000</td>\n",
-       "      <td id=\"T_ffd10_row7_col1\" class=\"data row7 col1\" >19.000000</td>\n",
-       "      <td id=\"T_ffd10_row7_col2\" class=\"data row7 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row7\" class=\"row_heading level0 row7\" >. (7)</th>\n",
+       "      <td id=\"T_e8cd0_row7_col0\" class=\"data row7 col0\" >1.000000</td>\n",
+       "      <td id=\"T_e8cd0_row7_col1\" class=\"data row7 col1\" >17.000000</td>\n",
+       "      <td id=\"T_e8cd0_row7_col2\" class=\"data row7 col2\" >20.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row8\" class=\"row_heading level0 row8\" >How (8)</th>\n",
-       "      <td id=\"T_ffd10_row8_col0\" class=\"data row8 col0\" >1.000000</td>\n",
-       "      <td id=\"T_ffd10_row8_col1\" class=\"data row8 col1\" >20.000000</td>\n",
-       "      <td id=\"T_ffd10_row8_col2\" class=\"data row8 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row8\" class=\"row_heading level0 row8\" >How (8)</th>\n",
+       "      <td id=\"T_e8cd0_row8_col0\" class=\"data row8 col0\" >1.000000</td>\n",
+       "      <td id=\"T_e8cd0_row8_col1\" class=\"data row8 col1\" >20.000000</td>\n",
+       "      <td id=\"T_e8cd0_row8_col2\" class=\"data row8 col2\" >20.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row9\" class=\"row_heading level0 row9\" >many (9)</th>\n",
-       "      <td id=\"T_ffd10_row9_col0\" class=\"data row9 col0\" >1.000000</td>\n",
-       "      <td id=\"T_ffd10_row9_col1\" class=\"data row9 col1\" >20.000000</td>\n",
-       "      <td id=\"T_ffd10_row9_col2\" class=\"data row9 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row9\" class=\"row_heading level0 row9\" >many (9)</th>\n",
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+       "      <td id=\"T_e8cd0_row9_col2\" class=\"data row9 col2\" >20.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row10\" class=\"row_heading level0 row10\" >min (10)</th>\n",
-       "      <td id=\"T_ffd10_row10_col0\" class=\"data row10 col0\" >10.000000</td>\n",
-       "      <td id=\"T_ffd10_row10_col1\" class=\"data row10 col1\" >20.000000</td>\n",
-       "      <td id=\"T_ffd10_row10_col2\" class=\"data row10 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row10\" class=\"row_heading level0 row10\" >minutes (10)</th>\n",
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+       "      <td id=\"T_e8cd0_row10_col2\" class=\"data row10 col2\" >20.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row11\" class=\"row_heading level0 row11\" >utes (11)</th>\n",
-       "      <td id=\"T_ffd10_row11_col0\" class=\"data row11 col0\" >10.000000</td>\n",
-       "      <td id=\"T_ffd10_row11_col1\" class=\"data row11 col1\" >20.000000</td>\n",
-       "      <td id=\"T_ffd10_row11_col2\" class=\"data row11 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row11\" class=\"row_heading level0 row11\" >' (11)</th>\n",
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+       "      <td id=\"T_e8cd0_row11_col1\" class=\"data row11 col1\" >0.000000</td>\n",
+       "      <td id=\"T_e8cd0_row11_col2\" class=\"data row11 col2\" >0.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row12\" class=\"row_heading level0 row12\" >'t (12)</th>\n",
-       "      <td id=\"T_ffd10_row12_col0\" class=\"data row12 col0\" >0.000000</td>\n",
-       "      <td id=\"T_ffd10_row12_col1\" class=\"data row12 col1\" >0.000000</td>\n",
-       "      <td id=\"T_ffd10_row12_col2\" class=\"data row12 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row12\" class=\"row_heading level0 row12\" >til (12)</th>\n",
+       "      <td id=\"T_e8cd0_row12_col0\" class=\"data row12 col0\" >0.000000</td>\n",
+       "      <td id=\"T_e8cd0_row12_col1\" class=\"data row12 col1\" >0.000000</td>\n",
+       "      <td id=\"T_e8cd0_row12_col2\" class=\"data row12 col2\" >0.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row13\" class=\"row_heading level0 row13\" >il (13)</th>\n",
-       "      <td id=\"T_ffd10_row13_col0\" class=\"data row13 col0\" >0.000000</td>\n",
-       "      <td id=\"T_ffd10_row13_col1\" class=\"data row13 col1\" >0.000000</td>\n",
-       "      <td id=\"T_ffd10_row13_col2\" class=\"data row13 col2\" >20.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row13\" class=\"row_heading level0 row13\" >10 (13)</th>\n",
+       "      <td id=\"T_e8cd0_row13_col0\" class=\"data row13 col0\" >0.000000</td>\n",
+       "      <td id=\"T_e8cd0_row13_col1\" class=\"data row13 col1\" >0.000000</td>\n",
+       "      <td id=\"T_e8cd0_row13_col2\" class=\"data row13 col2\" >20.000000</td>\n",
        "    </tr>\n",
        "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row14\" class=\"row_heading level0 row14\" >10 (14)</th>\n",
-       "      <td id=\"T_ffd10_row14_col0\" class=\"data row14 col0\" >0.000000</td>\n",
-       "      <td id=\"T_ffd10_row14_col1\" class=\"data row14 col1\" >0.000000</td>\n",
-       "      <td id=\"T_ffd10_row14_col2\" class=\"data row14 col2\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_ffd10_level0_row15\" class=\"row_heading level0 row15\" >? (15)</th>\n",
-       "      <td id=\"T_ffd10_row15_col0\" class=\"data row15 col0\" >0.000000</td>\n",
-       "      <td id=\"T_ffd10_row15_col1\" class=\"data row15 col1\" >0.000000</td>\n",
-       "      <td id=\"T_ffd10_row15_col2\" class=\"data row15 col2\" >0.000000</td>\n",
+       "      <th id=\"T_e8cd0_level0_row14\" class=\"row_heading level0 row14\" >? (14)</th>\n",
+       "      <td id=\"T_e8cd0_row14_col0\" class=\"data row14 col0\" >0.000000</td>\n",
+       "      <td id=\"T_e8cd0_row14_col1\" class=\"data row14 col1\" >0.000000</td>\n",
+       "      <td id=\"T_e8cd0_row14_col2\" class=\"data row14 col2\" >20.000000</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n"
       ],
       "text/plain": [
-       "<pandas.io.formats.style.Styler at 0x2fc677750>"
+       "<pandas.io.formats.style.Styler at 0x13b34de50>"
       ]
      },
      "metadata": {},
@@ -1085,14 +1131,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Attribution matrix for cosine with perturbation strategy distant:\n",
+      "Attribution matrix for prob_diff with perturbation strategy distant:\n",
       "Input Tokens (Rows) vs. Output Tokens (Columns)\n"
      ]
     },
@@ -1100,240 +1146,160 @@
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-       "      <th id=\"T_b32f9_level0_col0\" class=\"col_heading level0 col0\" >The (0)</th>\n",
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-       "      <th id=\"T_b32f9_level0_col2\" class=\"col_heading level0 col2\" >shows (2)</th>\n",
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-       "      <th id=\"T_b32f9_level0_col6\" class=\"col_heading level0 col6\" >PM (6)</th>\n",
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-       "      <td id=\"T_b32f9_row1_col2\" class=\"data row1 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row1_col3\" class=\"data row1 col3\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row1_col4\" class=\"data row1 col4\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row1_col5\" class=\"data row1 col5\" >-0.000000</td>\n",
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-       "      <td id=\"T_b32f9_row1_col7\" class=\"data row1 col7\" >0.000000</td>\n",
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-       "    <tr>\n",
-       "      <th id=\"T_b32f9_level0_row2\" class=\"row_heading level0 row2\" >shows (2)</th>\n",
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-       "      <td id=\"T_b32f9_row2_col1\" class=\"data row2 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row2_col2\" class=\"data row2 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row2_col3\" class=\"data row2 col3\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row2_col4\" class=\"data row2 col4\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row2_col5\" class=\"data row2 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row2_col6\" class=\"data row2 col6\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row2_col7\" class=\"data row2 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_b32f9_level0_row3\" class=\"row_heading level0 row3\" >9 (3)</th>\n",
-       "      <td id=\"T_b32f9_row3_col0\" class=\"data row3 col0\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row3_col1\" class=\"data row3 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row3_col2\" class=\"data row3 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row3_col3\" class=\"data row3 col3\" >0.289177</td>\n",
-       "      <td id=\"T_b32f9_row3_col4\" class=\"data row3 col4\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row3_col5\" class=\"data row3 col5\" >0.274936</td>\n",
-       "      <td id=\"T_b32f9_row3_col6\" class=\"data row3 col6\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row3_col7\" class=\"data row3 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_b32f9_level0_row4\" class=\"row_heading level0 row4\" >: (4)</th>\n",
-       "      <td id=\"T_b32f9_row4_col0\" class=\"data row4 col0\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row4_col1\" class=\"data row4 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row4_col2\" class=\"data row4 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row4_col3\" class=\"data row4 col3\" >0.289177</td>\n",
-       "      <td id=\"T_b32f9_row4_col4\" class=\"data row4 col4\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row4_col5\" class=\"data row4 col5\" >0.274936</td>\n",
-       "      <td id=\"T_b32f9_row4_col6\" class=\"data row4 col6\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row4_col7\" class=\"data row4 col7\" >0.000000</td>\n",
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-       "      <th id=\"T_b32f9_level0_row5\" class=\"row_heading level0 row5\" >47 (5)</th>\n",
-       "      <td id=\"T_b32f9_row5_col0\" class=\"data row5 col0\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row5_col1\" class=\"data row5 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row5_col2\" class=\"data row5 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row5_col3\" class=\"data row5 col3\" >0.289177</td>\n",
-       "      <td id=\"T_b32f9_row5_col4\" class=\"data row5 col4\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row5_col5\" class=\"data row5 col5\" >0.274936</td>\n",
-       "      <td id=\"T_b32f9_row5_col6\" class=\"data row5 col6\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row5_col7\" class=\"data row5 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_b32f9_level0_row6\" class=\"row_heading level0 row6\" >PM (6)</th>\n",
-       "      <td id=\"T_b32f9_row6_col0\" class=\"data row6 col0\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row6_col1\" class=\"data row6 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row6_col2\" class=\"data row6 col2\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row6_col3\" class=\"data row6 col3\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row6_col4\" class=\"data row6 col4\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row6_col5\" class=\"data row6 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row6_col6\" class=\"data row6 col6\" >0.821500</td>\n",
-       "      <td id=\"T_b32f9_row6_col7\" class=\"data row6 col7\" >1.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_b32f9_level0_row7\" class=\"row_heading level0 row7\" >. (7)</th>\n",
-       "      <td id=\"T_b32f9_row7_col0\" class=\"data row7 col0\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row7_col1\" class=\"data row7 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row7_col2\" class=\"data row7 col2\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row7_col3\" class=\"data row7 col3\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row7_col4\" class=\"data row7 col4\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row7_col5\" class=\"data row7 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row7_col6\" class=\"data row7 col6\" >0.821500</td>\n",
-       "      <td id=\"T_b32f9_row7_col7\" class=\"data row7 col7\" >1.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_b32f9_level0_row8\" class=\"row_heading level0 row8\" >What (8)</th>\n",
-       "      <td id=\"T_b32f9_row8_col0\" class=\"data row8 col0\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row8_col1\" class=\"data row8 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row8_col2\" class=\"data row8 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row8_col3\" class=\"data row8 col3\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row8_col4\" class=\"data row8 col4\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row8_col5\" class=\"data row8 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row8_col6\" class=\"data row8 col6\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row8_col7\" class=\"data row8 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_b32f9_level0_row9\" class=\"row_heading level0 row9\" >time (9)</th>\n",
-       "      <td id=\"T_b32f9_row9_col0\" class=\"data row9 col0\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row9_col1\" class=\"data row9 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row9_col2\" class=\"data row9 col2\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row9_col3\" class=\"data row9 col3\" >0.488054</td>\n",
-       "      <td id=\"T_b32f9_row9_col4\" class=\"data row9 col4\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row9_col5\" class=\"data row9 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row9_col6\" class=\"data row9 col6\" >0.821500</td>\n",
-       "      <td id=\"T_b32f9_row9_col7\" class=\"data row9 col7\" >1.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_b32f9_level0_row10\" class=\"row_heading level0 row10\" >does (10)</th>\n",
-       "      <td id=\"T_b32f9_row10_col0\" class=\"data row10 col0\" >0.560580</td>\n",
-       "      <td id=\"T_b32f9_row10_col1\" class=\"data row10 col1\" >0.856970</td>\n",
-       "      <td id=\"T_b32f9_row10_col2\" class=\"data row10 col2\" >0.696821</td>\n",
-       "      <td id=\"T_b32f9_row10_col3\" class=\"data row10 col3\" >0.746326</td>\n",
-       "      <td id=\"T_b32f9_row10_col4\" class=\"data row10 col4\" >1.000000</td>\n",
-       "      <td id=\"T_b32f9_row10_col5\" class=\"data row10 col5\" >1.000000</td>\n",
-       "      <td id=\"T_b32f9_row10_col6\" class=\"data row10 col6\" >1.000000</td>\n",
-       "      <td id=\"T_b32f9_row10_col7\" class=\"data row10 col7\" >1.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_b32f9_level0_row11\" class=\"row_heading level0 row11\" >the (11)</th>\n",
-       "      <td id=\"T_b32f9_row11_col0\" class=\"data row11 col0\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row11_col1\" class=\"data row11 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row11_col2\" class=\"data row11 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row11_col3\" class=\"data row11 col3\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row11_col4\" class=\"data row11 col4\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row11_col5\" class=\"data row11 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row11_col6\" class=\"data row11 col6\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row11_col7\" class=\"data row11 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_b32f9_level0_row12\" class=\"row_heading level0 row12\" >clock (12)</th>\n",
-       "      <td id=\"T_b32f9_row12_col0\" class=\"data row12 col0\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row12_col1\" class=\"data row12 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row12_col2\" class=\"data row12 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row12_col3\" class=\"data row12 col3\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row12_col4\" class=\"data row12 col4\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row12_col5\" class=\"data row12 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row12_col6\" class=\"data row12 col6\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row12_col7\" class=\"data row12 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_b32f9_level0_row13\" class=\"row_heading level0 row13\" >show (13)</th>\n",
-       "      <td id=\"T_b32f9_row13_col0\" class=\"data row13 col0\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row13_col1\" class=\"data row13 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row13_col2\" class=\"data row13 col2\" >0.828613</td>\n",
-       "      <td id=\"T_b32f9_row13_col3\" class=\"data row13 col3\" >0.754033</td>\n",
-       "      <td id=\"T_b32f9_row13_col4\" class=\"data row13 col4\" >0.513017</td>\n",
-       "      <td id=\"T_b32f9_row13_col5\" class=\"data row13 col5\" >0.693778</td>\n",
-       "      <td id=\"T_b32f9_row13_col6\" class=\"data row13 col6\" >0.781776</td>\n",
-       "      <td id=\"T_b32f9_row13_col7\" class=\"data row13 col7\" >0.758650</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_b32f9_level0_row14\" class=\"row_heading level0 row14\" >? (14)</th>\n",
-       "      <td id=\"T_b32f9_row14_col0\" class=\"data row14 col0\" >0.000000</td>\n",
-       "      <td id=\"T_b32f9_row14_col1\" class=\"data row14 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_b32f9_row14_col2\" class=\"data row14 col2\" >0.828613</td>\n",
-       "      <td id=\"T_b32f9_row14_col3\" class=\"data row14 col3\" >0.754033</td>\n",
-       "      <td id=\"T_b32f9_row14_col4\" class=\"data row14 col4\" >0.513017</td>\n",
-       "      <td id=\"T_b32f9_row14_col5\" class=\"data row14 col5\" >0.693778</td>\n",
-       "      <td id=\"T_b32f9_row14_col6\" class=\"data row14 col6\" >0.781776</td>\n",
-       "      <td id=\"T_b32f9_row14_col7\" class=\"data row14 col7\" >0.758650</td>\n",
+       "      <th id=\"T_2420e_level0_row0\" class=\"row_heading level0 row0\" >The (0)</th>\n",
+       "      <td id=\"T_2420e_row0_col0\" class=\"data row0 col0\" >0.239891</td>\n",
+       "      <td id=\"T_2420e_row0_col1\" class=\"data row0 col1\" >0.000012</td>\n",
+       "      <td id=\"T_2420e_row0_col2\" class=\"data row0 col2\" >0.004187</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row1\" class=\"row_heading level0 row1\" >clock (1)</th>\n",
+       "      <td id=\"T_2420e_row1_col0\" class=\"data row1 col0\" >0.339138</td>\n",
+       "      <td id=\"T_2420e_row1_col1\" class=\"data row1 col1\" >0.000061</td>\n",
+       "      <td id=\"T_2420e_row1_col2\" class=\"data row1 col2\" >0.025875</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row2\" class=\"row_heading level0 row2\" >shows (2)</th>\n",
+       "      <td id=\"T_2420e_row2_col0\" class=\"data row2 col0\" >0.299949</td>\n",
+       "      <td id=\"T_2420e_row2_col1\" class=\"data row2 col1\" >0.000029</td>\n",
+       "      <td id=\"T_2420e_row2_col2\" class=\"data row2 col2\" >0.024715</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row3\" class=\"row_heading level0 row3\" >9 (3)</th>\n",
+       "      <td id=\"T_2420e_row3_col0\" class=\"data row3 col0\" >0.817992</td>\n",
+       "      <td id=\"T_2420e_row3_col1\" class=\"data row3 col1\" >0.999872</td>\n",
+       "      <td id=\"T_2420e_row3_col2\" class=\"data row3 col2\" >0.640487</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row4\" class=\"row_heading level0 row4\" >: (4)</th>\n",
+       "      <td id=\"T_2420e_row4_col0\" class=\"data row4 col0\" >0.817992</td>\n",
+       "      <td id=\"T_2420e_row4_col1\" class=\"data row4 col1\" >0.999872</td>\n",
+       "      <td id=\"T_2420e_row4_col2\" class=\"data row4 col2\" >0.640487</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row5\" class=\"row_heading level0 row5\" >47 (5)</th>\n",
+       "      <td id=\"T_2420e_row5_col0\" class=\"data row5 col0\" >0.817992</td>\n",
+       "      <td id=\"T_2420e_row5_col1\" class=\"data row5 col1\" >0.999872</td>\n",
+       "      <td id=\"T_2420e_row5_col2\" class=\"data row5 col2\" >0.640487</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row6\" class=\"row_heading level0 row6\" >PM (6)</th>\n",
+       "      <td id=\"T_2420e_row6_col0\" class=\"data row6 col0\" >0.804387</td>\n",
+       "      <td id=\"T_2420e_row6_col1\" class=\"data row6 col1\" >0.999872</td>\n",
+       "      <td id=\"T_2420e_row6_col2\" class=\"data row6 col2\" >0.640487</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row7\" class=\"row_heading level0 row7\" >. (7)</th>\n",
+       "      <td id=\"T_2420e_row7_col0\" class=\"data row7 col0\" >0.804387</td>\n",
+       "      <td id=\"T_2420e_row7_col1\" class=\"data row7 col1\" >0.999872</td>\n",
+       "      <td id=\"T_2420e_row7_col2\" class=\"data row7 col2\" >0.640487</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row8\" class=\"row_heading level0 row8\" >How (8)</th>\n",
+       "      <td id=\"T_2420e_row8_col0\" class=\"data row8 col0\" >0.787602</td>\n",
+       "      <td id=\"T_2420e_row8_col1\" class=\"data row8 col1\" >0.999872</td>\n",
+       "      <td id=\"T_2420e_row8_col2\" class=\"data row8 col2\" >0.640487</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row9\" class=\"row_heading level0 row9\" >many (9)</th>\n",
+       "      <td id=\"T_2420e_row9_col0\" class=\"data row9 col0\" >0.758278</td>\n",
+       "      <td id=\"T_2420e_row9_col1\" class=\"data row9 col1\" >0.999872</td>\n",
+       "      <td id=\"T_2420e_row9_col2\" class=\"data row9 col2\" >0.640487</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row10\" class=\"row_heading level0 row10\" >minutes (10)</th>\n",
+       "      <td id=\"T_2420e_row10_col0\" class=\"data row10 col0\" >0.814092</td>\n",
+       "      <td id=\"T_2420e_row10_col1\" class=\"data row10 col1\" >0.999872</td>\n",
+       "      <td id=\"T_2420e_row10_col2\" class=\"data row10 col2\" >0.640487</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row11\" class=\"row_heading level0 row11\" >' (11)</th>\n",
+       "      <td id=\"T_2420e_row11_col0\" class=\"data row11 col0\" >0.042329</td>\n",
+       "      <td id=\"T_2420e_row11_col1\" class=\"data row11 col1\" >0.001205</td>\n",
+       "      <td id=\"T_2420e_row11_col2\" class=\"data row11 col2\" >0.102655</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row12\" class=\"row_heading level0 row12\" >til (12)</th>\n",
+       "      <td id=\"T_2420e_row12_col0\" class=\"data row12 col0\" >0.042329</td>\n",
+       "      <td id=\"T_2420e_row12_col1\" class=\"data row12 col1\" >0.001205</td>\n",
+       "      <td id=\"T_2420e_row12_col2\" class=\"data row12 col2\" >0.102655</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row13\" class=\"row_heading level0 row13\" >10 (13)</th>\n",
+       "      <td id=\"T_2420e_row13_col0\" class=\"data row13 col0\" >0.082409</td>\n",
+       "      <td id=\"T_2420e_row13_col1\" class=\"data row13 col1\" >0.000164</td>\n",
+       "      <td id=\"T_2420e_row13_col2\" class=\"data row13 col2\" >0.640487</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_2420e_level0_row14\" class=\"row_heading level0 row14\" >? (14)</th>\n",
+       "      <td id=\"T_2420e_row14_col0\" class=\"data row14 col0\" >0.082409</td>\n",
+       "      <td id=\"T_2420e_row14_col1\" class=\"data row14 col1\" >0.000164</td>\n",
+       "      <td id=\"T_2420e_row14_col2\" class=\"data row14 col2\" >0.640487</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n"
       ],
       "text/plain": [
-       "<pandas.io.formats.style.Styler at 0x135118c40>"
+       "<pandas.io.formats.style.Styler at 0x13b114b80>"
       ]
      },
      "metadata": {},
@@ -1341,12 +1307,12 @@
     }
    ],
    "source": [
-    "logger.print_attribution_matrix(1, \"cosine\")"
+    "logger.print_attribution_matrix(exp_id=1, attribution_strategy=\"prob_diff\")"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 22,
    "metadata": {},
    "outputs": [
     {
@@ -1361,583 +1327,128 @@
      "data": {
       "text/html": [
        "<style type=\"text/css\">\n",
-       "#T_06f7c_row0_col0, #T_06f7c_row0_col1, #T_06f7c_row0_col2, #T_06f7c_row0_col3, #T_06f7c_row0_col4, #T_06f7c_row0_col5, #T_06f7c_row0_col6, #T_06f7c_row0_col7, #T_06f7c_row1_col0, #T_06f7c_row1_col1, #T_06f7c_row1_col2, #T_06f7c_row1_col3, #T_06f7c_row1_col4, #T_06f7c_row1_col5, #T_06f7c_row1_col6, #T_06f7c_row1_col7, #T_06f7c_row2_col0, #T_06f7c_row2_col1, #T_06f7c_row2_col2, #T_06f7c_row2_col3, #T_06f7c_row2_col4, #T_06f7c_row2_col5, #T_06f7c_row2_col6, #T_06f7c_row2_col7, #T_06f7c_row3_col0, #T_06f7c_row3_col1, #T_06f7c_row3_col2, #T_06f7c_row3_col4, #T_06f7c_row3_col6, #T_06f7c_row3_col7, #T_06f7c_row4_col0, #T_06f7c_row4_col1, #T_06f7c_row4_col2, #T_06f7c_row4_col4, #T_06f7c_row4_col6, #T_06f7c_row4_col7, #T_06f7c_row5_col0, #T_06f7c_row5_col1, #T_06f7c_row5_col2, #T_06f7c_row5_col4, #T_06f7c_row5_col6, #T_06f7c_row5_col7, #T_06f7c_row6_col0, #T_06f7c_row6_col1, #T_06f7c_row6_col2, #T_06f7c_row6_col3, #T_06f7c_row6_col4, #T_06f7c_row6_col5, #T_06f7c_row7_col0, #T_06f7c_row7_col1, #T_06f7c_row7_col2, #T_06f7c_row7_col3, #T_06f7c_row7_col4, #T_06f7c_row7_col5, #T_06f7c_row8_col0, #T_06f7c_row8_col1, #T_06f7c_row8_col2, #T_06f7c_row8_col3, #T_06f7c_row8_col4, #T_06f7c_row8_col5, #T_06f7c_row8_col6, #T_06f7c_row8_col7, #T_06f7c_row9_col0, #T_06f7c_row9_col1, #T_06f7c_row9_col2, #T_06f7c_row9_col4, #T_06f7c_row9_col5, #T_06f7c_row11_col0, #T_06f7c_row11_col1, #T_06f7c_row11_col2, #T_06f7c_row11_col3, #T_06f7c_row11_col4, #T_06f7c_row11_col5, #T_06f7c_row11_col6, #T_06f7c_row11_col7, #T_06f7c_row12_col0, #T_06f7c_row12_col1, #T_06f7c_row12_col2, #T_06f7c_row12_col3, #T_06f7c_row12_col4, #T_06f7c_row12_col5, #T_06f7c_row12_col6, #T_06f7c_row12_col7, #T_06f7c_row13_col0, #T_06f7c_row13_col1, #T_06f7c_row14_col0, #T_06f7c_row14_col1 {\n",
+       "#T_d9814_row0_col0, #T_d9814_row0_col1, #T_d9814_row0_col2, #T_d9814_row1_col0, #T_d9814_row1_col1, #T_d9814_row1_col2, #T_d9814_row2_col0, #T_d9814_row2_col1, #T_d9814_row2_col2, #T_d9814_row11_col0, #T_d9814_row11_col1, #T_d9814_row11_col2, #T_d9814_row12_col0, #T_d9814_row12_col1, #T_d9814_row12_col2, #T_d9814_row13_col0, #T_d9814_row13_col1, #T_d9814_row14_col0, #T_d9814_row14_col1 {\n",
        "  background-color: #ffffcc;\n",
        "  color: #000000;\n",
        "}\n",
-       "#T_06f7c_row3_col3, #T_06f7c_row4_col3, #T_06f7c_row5_col3 {\n",
-       "  background-color: #feaf4b;\n",
-       "  color: #000000;\n",
-       "}\n",
-       "#T_06f7c_row3_col5, #T_06f7c_row4_col5, #T_06f7c_row5_col5 {\n",
-       "  background-color: #fed16e;\n",
-       "  color: #000000;\n",
-       "}\n",
-       "#T_06f7c_row6_col6, #T_06f7c_row7_col6, #T_06f7c_row9_col6 {\n",
-       "  background-color: #cd0b22;\n",
-       "  color: #f1f1f1;\n",
-       "}\n",
-       "#T_06f7c_row6_col7, #T_06f7c_row7_col7, #T_06f7c_row9_col7, #T_06f7c_row10_col0, #T_06f7c_row10_col1, #T_06f7c_row10_col4, #T_06f7c_row10_col5, #T_06f7c_row10_col6, #T_06f7c_row10_col7, #T_06f7c_row13_col2, #T_06f7c_row13_col3, #T_06f7c_row14_col2, #T_06f7c_row14_col3 {\n",
+       "#T_d9814_row3_col0, #T_d9814_row3_col1, #T_d9814_row4_col0, #T_d9814_row4_col1, #T_d9814_row5_col0, #T_d9814_row5_col1, #T_d9814_row6_col0, #T_d9814_row6_col1, #T_d9814_row7_col0, #T_d9814_row7_col1, #T_d9814_row8_col0, #T_d9814_row8_col1, #T_d9814_row9_col0, #T_d9814_row9_col1, #T_d9814_row10_col0, #T_d9814_row10_col1, #T_d9814_row13_col2, #T_d9814_row14_col2 {\n",
        "  background-color: #800026;\n",
        "  color: #f1f1f1;\n",
        "}\n",
-       "#T_06f7c_row9_col3 {\n",
-       "  background-color: #f84528;\n",
-       "  color: #f1f1f1;\n",
-       "}\n",
-       "#T_06f7c_row10_col2 {\n",
-       "  background-color: #c70723;\n",
-       "  color: #f1f1f1;\n",
-       "}\n",
-       "#T_06f7c_row10_col3 {\n",
-       "  background-color: #840026;\n",
-       "  color: #f1f1f1;\n",
-       "}\n",
-       "#T_06f7c_row13_col4, #T_06f7c_row14_col4 {\n",
-       "  background-color: #fd863a;\n",
-       "  color: #f1f1f1;\n",
-       "}\n",
-       "#T_06f7c_row13_col5, #T_06f7c_row14_col5 {\n",
-       "  background-color: #ee3122;\n",
-       "  color: #f1f1f1;\n",
-       "}\n",
-       "#T_06f7c_row13_col6, #T_06f7c_row14_col6 {\n",
-       "  background-color: #d9131f;\n",
+       "#T_d9814_row3_col2, #T_d9814_row4_col2, #T_d9814_row5_col2 {\n",
+       "  background-color: #e31a1c;\n",
        "  color: #f1f1f1;\n",
        "}\n",
-       "#T_06f7c_row13_col7, #T_06f7c_row14_col7 {\n",
-       "  background-color: #e0181d;\n",
+       "#T_d9814_row6_col2, #T_d9814_row7_col2, #T_d9814_row8_col2, #T_d9814_row9_col2, #T_d9814_row10_col2 {\n",
+       "  background-color: #ed2e21;\n",
        "  color: #f1f1f1;\n",
        "}\n",
        "</style>\n",
-       "<table id=\"T_06f7c\">\n",
+       "<table id=\"T_d9814\">\n",
        "  <thead>\n",
        "    <tr>\n",
        "      <th class=\"blank level0\" >&nbsp;</th>\n",
-       "      <th id=\"T_06f7c_level0_col0\" class=\"col_heading level0 col0\" >The (0)</th>\n",
-       "      <th id=\"T_06f7c_level0_col1\" class=\"col_heading level0 col1\" >clock (1)</th>\n",
-       "      <th id=\"T_06f7c_level0_col2\" class=\"col_heading level0 col2\" >shows (2)</th>\n",
-       "      <th id=\"T_06f7c_level0_col3\" class=\"col_heading level0 col3\" >9 (3)</th>\n",
-       "      <th id=\"T_06f7c_level0_col4\" class=\"col_heading level0 col4\" >: (4)</th>\n",
-       "      <th id=\"T_06f7c_level0_col5\" class=\"col_heading level0 col5\" >47 (5)</th>\n",
-       "      <th id=\"T_06f7c_level0_col6\" class=\"col_heading level0 col6\" >PM (6)</th>\n",
-       "      <th id=\"T_06f7c_level0_col7\" class=\"col_heading level0 col7\" >. (7)</th>\n",
+       "      <th id=\"T_d9814_level0_col0\" class=\"col_heading level0 col0\" >13 (0)</th>\n",
+       "      <th id=\"T_d9814_level0_col1\" class=\"col_heading level0 col1\" > minutes (1)</th>\n",
+       "      <th id=\"T_d9814_level0_col2\" class=\"col_heading level0 col2\" >. (2)</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row0\" class=\"row_heading level0 row0\" >The (0)</th>\n",
-       "      <td id=\"T_06f7c_row0_col0\" class=\"data row0 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row0_col1\" class=\"data row0 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row0_col2\" class=\"data row0 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row0_col3\" class=\"data row0 col3\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row0_col4\" class=\"data row0 col4\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row0_col5\" class=\"data row0 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row0_col6\" class=\"data row0 col6\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row0_col7\" class=\"data row0 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row1\" class=\"row_heading level0 row1\" >clock (1)</th>\n",
-       "      <td id=\"T_06f7c_row1_col0\" class=\"data row1 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row1_col1\" class=\"data row1 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row1_col2\" class=\"data row1 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row1_col3\" class=\"data row1 col3\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row1_col4\" class=\"data row1 col4\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row1_col5\" class=\"data row1 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row1_col6\" class=\"data row1 col6\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row1_col7\" class=\"data row1 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row2\" class=\"row_heading level0 row2\" >shows (2)</th>\n",
-       "      <td id=\"T_06f7c_row2_col0\" class=\"data row2 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row2_col1\" class=\"data row2 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row2_col2\" class=\"data row2 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row2_col3\" class=\"data row2 col3\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row2_col4\" class=\"data row2 col4\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row2_col5\" class=\"data row2 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row2_col6\" class=\"data row2 col6\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row2_col7\" class=\"data row2 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row3\" class=\"row_heading level0 row3\" >9 (3)</th>\n",
-       "      <td id=\"T_06f7c_row3_col0\" class=\"data row3 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row3_col1\" class=\"data row3 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row3_col2\" class=\"data row3 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row3_col3\" class=\"data row3 col3\" >0.289177</td>\n",
-       "      <td id=\"T_06f7c_row3_col4\" class=\"data row3 col4\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row3_col5\" class=\"data row3 col5\" >0.274936</td>\n",
-       "      <td id=\"T_06f7c_row3_col6\" class=\"data row3 col6\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row3_col7\" class=\"data row3 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row4\" class=\"row_heading level0 row4\" >: (4)</th>\n",
-       "      <td id=\"T_06f7c_row4_col0\" class=\"data row4 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row4_col1\" class=\"data row4 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row4_col2\" class=\"data row4 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row4_col3\" class=\"data row4 col3\" >0.289177</td>\n",
-       "      <td id=\"T_06f7c_row4_col4\" class=\"data row4 col4\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row4_col5\" class=\"data row4 col5\" >0.274936</td>\n",
-       "      <td id=\"T_06f7c_row4_col6\" class=\"data row4 col6\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row4_col7\" class=\"data row4 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row5\" class=\"row_heading level0 row5\" >47 (5)</th>\n",
-       "      <td id=\"T_06f7c_row5_col0\" class=\"data row5 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row5_col1\" class=\"data row5 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row5_col2\" class=\"data row5 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row5_col3\" class=\"data row5 col3\" >0.289177</td>\n",
-       "      <td id=\"T_06f7c_row5_col4\" class=\"data row5 col4\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row5_col5\" class=\"data row5 col5\" >0.274936</td>\n",
-       "      <td id=\"T_06f7c_row5_col6\" class=\"data row5 col6\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row5_col7\" class=\"data row5 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row6\" class=\"row_heading level0 row6\" >PM (6)</th>\n",
-       "      <td id=\"T_06f7c_row6_col0\" class=\"data row6 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row6_col1\" class=\"data row6 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row6_col2\" class=\"data row6 col2\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row6_col3\" class=\"data row6 col3\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row6_col4\" class=\"data row6 col4\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row6_col5\" class=\"data row6 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row6_col6\" class=\"data row6 col6\" >0.821500</td>\n",
-       "      <td id=\"T_06f7c_row6_col7\" class=\"data row6 col7\" >1.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row7\" class=\"row_heading level0 row7\" >. (7)</th>\n",
-       "      <td id=\"T_06f7c_row7_col0\" class=\"data row7 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row7_col1\" class=\"data row7 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row7_col2\" class=\"data row7 col2\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row7_col3\" class=\"data row7 col3\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row7_col4\" class=\"data row7 col4\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row7_col5\" class=\"data row7 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row7_col6\" class=\"data row7 col6\" >0.821500</td>\n",
-       "      <td id=\"T_06f7c_row7_col7\" class=\"data row7 col7\" >1.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row8\" class=\"row_heading level0 row8\" >What (8)</th>\n",
-       "      <td id=\"T_06f7c_row8_col0\" class=\"data row8 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row8_col1\" class=\"data row8 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row8_col2\" class=\"data row8 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row8_col3\" class=\"data row8 col3\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row8_col4\" class=\"data row8 col4\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row8_col5\" class=\"data row8 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row8_col6\" class=\"data row8 col6\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row8_col7\" class=\"data row8 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row9\" class=\"row_heading level0 row9\" >time (9)</th>\n",
-       "      <td id=\"T_06f7c_row9_col0\" class=\"data row9 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row9_col1\" class=\"data row9 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row9_col2\" class=\"data row9 col2\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row9_col3\" class=\"data row9 col3\" >0.488054</td>\n",
-       "      <td id=\"T_06f7c_row9_col4\" class=\"data row9 col4\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row9_col5\" class=\"data row9 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row9_col6\" class=\"data row9 col6\" >0.821500</td>\n",
-       "      <td id=\"T_06f7c_row9_col7\" class=\"data row9 col7\" >1.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row10\" class=\"row_heading level0 row10\" >does (10)</th>\n",
-       "      <td id=\"T_06f7c_row10_col0\" class=\"data row10 col0\" >0.560580</td>\n",
-       "      <td id=\"T_06f7c_row10_col1\" class=\"data row10 col1\" >0.856970</td>\n",
-       "      <td id=\"T_06f7c_row10_col2\" class=\"data row10 col2\" >0.696821</td>\n",
-       "      <td id=\"T_06f7c_row10_col3\" class=\"data row10 col3\" >0.746326</td>\n",
-       "      <td id=\"T_06f7c_row10_col4\" class=\"data row10 col4\" >1.000000</td>\n",
-       "      <td id=\"T_06f7c_row10_col5\" class=\"data row10 col5\" >1.000000</td>\n",
-       "      <td id=\"T_06f7c_row10_col6\" class=\"data row10 col6\" >1.000000</td>\n",
-       "      <td id=\"T_06f7c_row10_col7\" class=\"data row10 col7\" >1.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row11\" class=\"row_heading level0 row11\" >the (11)</th>\n",
-       "      <td id=\"T_06f7c_row11_col0\" class=\"data row11 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row11_col1\" class=\"data row11 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row11_col2\" class=\"data row11 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row11_col3\" class=\"data row11 col3\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row11_col4\" class=\"data row11 col4\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row11_col5\" class=\"data row11 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row11_col6\" class=\"data row11 col6\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row11_col7\" class=\"data row11 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row12\" class=\"row_heading level0 row12\" >clock (12)</th>\n",
-       "      <td id=\"T_06f7c_row12_col0\" class=\"data row12 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row12_col1\" class=\"data row12 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row12_col2\" class=\"data row12 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row12_col3\" class=\"data row12 col3\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row12_col4\" class=\"data row12 col4\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row12_col5\" class=\"data row12 col5\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row12_col6\" class=\"data row12 col6\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row12_col7\" class=\"data row12 col7\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row13\" class=\"row_heading level0 row13\" >show (13)</th>\n",
-       "      <td id=\"T_06f7c_row13_col0\" class=\"data row13 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row13_col1\" class=\"data row13 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row13_col2\" class=\"data row13 col2\" >0.828613</td>\n",
-       "      <td id=\"T_06f7c_row13_col3\" class=\"data row13 col3\" >0.754033</td>\n",
-       "      <td id=\"T_06f7c_row13_col4\" class=\"data row13 col4\" >0.513017</td>\n",
-       "      <td id=\"T_06f7c_row13_col5\" class=\"data row13 col5\" >0.693778</td>\n",
-       "      <td id=\"T_06f7c_row13_col6\" class=\"data row13 col6\" >0.781776</td>\n",
-       "      <td id=\"T_06f7c_row13_col7\" class=\"data row13 col7\" >0.758650</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_06f7c_level0_row14\" class=\"row_heading level0 row14\" >? (14)</th>\n",
-       "      <td id=\"T_06f7c_row14_col0\" class=\"data row14 col0\" >0.000000</td>\n",
-       "      <td id=\"T_06f7c_row14_col1\" class=\"data row14 col1\" >-0.000000</td>\n",
-       "      <td id=\"T_06f7c_row14_col2\" class=\"data row14 col2\" >0.828613</td>\n",
-       "      <td id=\"T_06f7c_row14_col3\" class=\"data row14 col3\" >0.754033</td>\n",
-       "      <td id=\"T_06f7c_row14_col4\" class=\"data row14 col4\" >0.513017</td>\n",
-       "      <td id=\"T_06f7c_row14_col5\" class=\"data row14 col5\" >0.693778</td>\n",
-       "      <td id=\"T_06f7c_row14_col6\" class=\"data row14 col6\" >0.781776</td>\n",
-       "      <td id=\"T_06f7c_row14_col7\" class=\"data row14 col7\" >0.758650</td>\n",
+       "      <th id=\"T_d9814_level0_row0\" class=\"row_heading level0 row0\" >The (0)</th>\n",
+       "      <td id=\"T_d9814_row0_col0\" class=\"data row0 col0\" >0.000000</td>\n",
+       "      <td id=\"T_d9814_row0_col1\" class=\"data row0 col1\" >0.000000</td>\n",
+       "      <td id=\"T_d9814_row0_col2\" class=\"data row0 col2\" >0.000000</td>\n",
        "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n"
-      ],
-      "text/plain": [
-       "<pandas.io.formats.style.Styler at 0x1350bafd0>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Attribution matrix for prob_diff with perturbation strategy distant:\n",
-      "Input Tokens (Rows) vs. Output Tokens (Columns)\n"
-     ]
-    },
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        "    <tr>\n",
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-       "      <th id=\"T_3d923_level0_col0\" class=\"col_heading level0 col0\" >The (0)</th>\n",
-       "      <th id=\"T_3d923_level0_col1\" class=\"col_heading level0 col1\" > clock (1)</th>\n",
-       "      <th id=\"T_3d923_level0_col2\" class=\"col_heading level0 col2\" > shows (2)</th>\n",
-       "      <th id=\"T_3d923_level0_col3\" class=\"col_heading level0 col3\" >  (3)</th>\n",
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-       "      <th id=\"T_3d923_level0_col5\" class=\"col_heading level0 col5\" >: (5)</th>\n",
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-       "      <th id=\"T_3d923_level0_col7\" class=\"col_heading level0 col7\" > PM (7)</th>\n",
-       "      <th id=\"T_3d923_level0_col8\" class=\"col_heading level0 col8\" >. (8)</th>\n",
+       "      <th id=\"T_d9814_level0_row1\" class=\"row_heading level0 row1\" >clock (1)</th>\n",
+       "      <td id=\"T_d9814_row1_col0\" class=\"data row1 col0\" >0.000000</td>\n",
+       "      <td id=\"T_d9814_row1_col1\" class=\"data row1 col1\" >0.000000</td>\n",
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+       "    <tr>\n",
+       "      <th id=\"T_d9814_level0_row2\" class=\"row_heading level0 row2\" >shows (2)</th>\n",
+       "      <td id=\"T_d9814_row2_col0\" class=\"data row2 col0\" >0.000000</td>\n",
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+       "      <td id=\"T_d9814_row2_col2\" class=\"data row2 col2\" >0.000000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_d9814_level0_row3\" class=\"row_heading level0 row3\" >9 (3)</th>\n",
+       "      <td id=\"T_d9814_row3_col0\" class=\"data row3 col0\" >0.688956</td>\n",
+       "      <td id=\"T_d9814_row3_col1\" class=\"data row3 col1\" >0.759586</td>\n",
+       "      <td id=\"T_d9814_row3_col2\" class=\"data row3 col2\" >0.747480</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_d9814_level0_row4\" class=\"row_heading level0 row4\" >: (4)</th>\n",
+       "      <td id=\"T_d9814_row4_col0\" class=\"data row4 col0\" >0.688956</td>\n",
+       "      <td id=\"T_d9814_row4_col1\" class=\"data row4 col1\" >0.759586</td>\n",
+       "      <td id=\"T_d9814_row4_col2\" class=\"data row4 col2\" >0.747480</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_d9814_level0_row5\" class=\"row_heading level0 row5\" >47 (5)</th>\n",
+       "      <td id=\"T_d9814_row5_col0\" class=\"data row5 col0\" >0.688956</td>\n",
+       "      <td id=\"T_d9814_row5_col1\" class=\"data row5 col1\" >0.759586</td>\n",
+       "      <td id=\"T_d9814_row5_col2\" class=\"data row5 col2\" >0.747480</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_d9814_level0_row6\" class=\"row_heading level0 row6\" >PM (6)</th>\n",
+       "      <td id=\"T_d9814_row6_col0\" class=\"data row6 col0\" >0.688956</td>\n",
+       "      <td id=\"T_d9814_row6_col1\" class=\"data row6 col1\" >0.759586</td>\n",
+       "      <td id=\"T_d9814_row6_col2\" class=\"data row6 col2\" >0.701984</td>\n",
        "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
        "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row0\" class=\"row_heading level0 row0\" >The (0)</th>\n",
-       "      <td id=\"T_3d923_row0_col0\" class=\"data row0 col0\" >0.064448</td>\n",
-       "      <td id=\"T_3d923_row0_col1\" class=\"data row0 col1\" >0.007869</td>\n",
-       "      <td id=\"T_3d923_row0_col2\" class=\"data row0 col2\" >0.003085</td>\n",
-       "      <td id=\"T_3d923_row0_col3\" class=\"data row0 col3\" >0.002989</td>\n",
-       "      <td id=\"T_3d923_row0_col4\" class=\"data row0 col4\" >0.000108</td>\n",
-       "      <td id=\"T_3d923_row0_col5\" class=\"data row0 col5\" >0.000128</td>\n",
-       "      <td id=\"T_3d923_row0_col6\" class=\"data row0 col6\" >0.000118</td>\n",
-       "      <td id=\"T_3d923_row0_col7\" class=\"data row0 col7\" >0.000054</td>\n",
-       "      <td id=\"T_3d923_row0_col8\" class=\"data row0 col8\" >0.007132</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row1\" class=\"row_heading level0 row1\" >clock (1)</th>\n",
-       "      <td id=\"T_3d923_row1_col0\" class=\"data row1 col0\" >0.136458</td>\n",
-       "      <td id=\"T_3d923_row1_col1\" class=\"data row1 col1\" >0.033954</td>\n",
-       "      <td id=\"T_3d923_row1_col2\" class=\"data row1 col2\" >0.003810</td>\n",
-       "      <td id=\"T_3d923_row1_col3\" class=\"data row1 col3\" >0.002736</td>\n",
-       "      <td id=\"T_3d923_row1_col4\" class=\"data row1 col4\" >0.000285</td>\n",
-       "      <td id=\"T_3d923_row1_col5\" class=\"data row1 col5\" >0.000101</td>\n",
-       "      <td id=\"T_3d923_row1_col6\" class=\"data row1 col6\" >0.001414</td>\n",
-       "      <td id=\"T_3d923_row1_col7\" class=\"data row1 col7\" >0.000432</td>\n",
-       "      <td id=\"T_3d923_row1_col8\" class=\"data row1 col8\" >0.000383</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row2\" class=\"row_heading level0 row2\" >shows (2)</th>\n",
-       "      <td id=\"T_3d923_row2_col0\" class=\"data row2 col0\" >0.151668</td>\n",
-       "      <td id=\"T_3d923_row2_col1\" class=\"data row2 col1\" >0.006804</td>\n",
-       "      <td id=\"T_3d923_row2_col2\" class=\"data row2 col2\" >0.009290</td>\n",
-       "      <td id=\"T_3d923_row2_col3\" class=\"data row2 col3\" >0.006151</td>\n",
-       "      <td id=\"T_3d923_row2_col4\" class=\"data row2 col4\" >0.000079</td>\n",
-       "      <td id=\"T_3d923_row2_col5\" class=\"data row2 col5\" >0.000141</td>\n",
-       "      <td id=\"T_3d923_row2_col6\" class=\"data row2 col6\" >0.000733</td>\n",
-       "      <td id=\"T_3d923_row2_col7\" class=\"data row2 col7\" >0.000125</td>\n",
-       "      <td id=\"T_3d923_row2_col8\" class=\"data row2 col8\" >0.016142</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row3\" class=\"row_heading level0 row3\" >9 (3)</th>\n",
-       "      <td id=\"T_3d923_row3_col0\" class=\"data row3 col0\" >0.191758</td>\n",
-       "      <td id=\"T_3d923_row3_col1\" class=\"data row3 col1\" >0.008194</td>\n",
-       "      <td id=\"T_3d923_row3_col2\" class=\"data row3 col2\" >0.016663</td>\n",
-       "      <td id=\"T_3d923_row3_col3\" class=\"data row3 col3\" >0.040286</td>\n",
-       "      <td id=\"T_3d923_row3_col4\" class=\"data row3 col4\" >0.951041</td>\n",
-       "      <td id=\"T_3d923_row3_col5\" class=\"data row3 col5\" >0.000315</td>\n",
-       "      <td id=\"T_3d923_row3_col6\" class=\"data row3 col6\" >0.958258</td>\n",
-       "      <td id=\"T_3d923_row3_col7\" class=\"data row3 col7\" >0.000138</td>\n",
-       "      <td id=\"T_3d923_row3_col8\" class=\"data row3 col8\" >0.001367</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row4\" class=\"row_heading level0 row4\" >: (4)</th>\n",
-       "      <td id=\"T_3d923_row4_col0\" class=\"data row4 col0\" >0.191758</td>\n",
-       "      <td id=\"T_3d923_row4_col1\" class=\"data row4 col1\" >0.008194</td>\n",
-       "      <td id=\"T_3d923_row4_col2\" class=\"data row4 col2\" >0.016663</td>\n",
-       "      <td id=\"T_3d923_row4_col3\" class=\"data row4 col3\" >0.040286</td>\n",
-       "      <td id=\"T_3d923_row4_col4\" class=\"data row4 col4\" >0.951041</td>\n",
-       "      <td id=\"T_3d923_row4_col5\" class=\"data row4 col5\" >0.000315</td>\n",
-       "      <td id=\"T_3d923_row4_col6\" class=\"data row4 col6\" >0.958258</td>\n",
-       "      <td id=\"T_3d923_row4_col7\" class=\"data row4 col7\" >0.000138</td>\n",
-       "      <td id=\"T_3d923_row4_col8\" class=\"data row4 col8\" >0.001367</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row5\" class=\"row_heading level0 row5\" >47 (5)</th>\n",
-       "      <td id=\"T_3d923_row5_col0\" class=\"data row5 col0\" >0.191758</td>\n",
-       "      <td id=\"T_3d923_row5_col1\" class=\"data row5 col1\" >0.008194</td>\n",
-       "      <td id=\"T_3d923_row5_col2\" class=\"data row5 col2\" >0.016663</td>\n",
-       "      <td id=\"T_3d923_row5_col3\" class=\"data row5 col3\" >0.040286</td>\n",
-       "      <td id=\"T_3d923_row5_col4\" class=\"data row5 col4\" >0.951041</td>\n",
-       "      <td id=\"T_3d923_row5_col5\" class=\"data row5 col5\" >0.000315</td>\n",
-       "      <td id=\"T_3d923_row5_col6\" class=\"data row5 col6\" >0.958258</td>\n",
-       "      <td id=\"T_3d923_row5_col7\" class=\"data row5 col7\" >0.000138</td>\n",
-       "      <td id=\"T_3d923_row5_col8\" class=\"data row5 col8\" >0.001367</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row6\" class=\"row_heading level0 row6\" >PM (6)</th>\n",
-       "      <td id=\"T_3d923_row6_col0\" class=\"data row6 col0\" >0.171069</td>\n",
-       "      <td id=\"T_3d923_row6_col1\" class=\"data row6 col1\" >0.000117</td>\n",
-       "      <td id=\"T_3d923_row6_col2\" class=\"data row6 col2\" >0.001073</td>\n",
-       "      <td id=\"T_3d923_row6_col3\" class=\"data row6 col3\" >0.000121</td>\n",
-       "      <td id=\"T_3d923_row6_col4\" class=\"data row6 col4\" >0.000113</td>\n",
-       "      <td id=\"T_3d923_row6_col5\" class=\"data row6 col5\" >0.000139</td>\n",
-       "      <td id=\"T_3d923_row6_col6\" class=\"data row6 col6\" >0.000016</td>\n",
-       "      <td id=\"T_3d923_row6_col7\" class=\"data row6 col7\" >0.999858</td>\n",
-       "      <td id=\"T_3d923_row6_col8\" class=\"data row6 col8\" >0.994526</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row7\" class=\"row_heading level0 row7\" >. (7)</th>\n",
-       "      <td id=\"T_3d923_row7_col0\" class=\"data row7 col0\" >0.171069</td>\n",
-       "      <td id=\"T_3d923_row7_col1\" class=\"data row7 col1\" >0.000117</td>\n",
-       "      <td id=\"T_3d923_row7_col2\" class=\"data row7 col2\" >0.001073</td>\n",
-       "      <td id=\"T_3d923_row7_col3\" class=\"data row7 col3\" >0.000121</td>\n",
-       "      <td id=\"T_3d923_row7_col4\" class=\"data row7 col4\" >0.000113</td>\n",
-       "      <td id=\"T_3d923_row7_col5\" class=\"data row7 col5\" >0.000139</td>\n",
-       "      <td id=\"T_3d923_row7_col6\" class=\"data row7 col6\" >0.000016</td>\n",
-       "      <td id=\"T_3d923_row7_col7\" class=\"data row7 col7\" >0.999858</td>\n",
-       "      <td id=\"T_3d923_row7_col8\" class=\"data row7 col8\" >0.994526</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row8\" class=\"row_heading level0 row8\" >What (8)</th>\n",
-       "      <td id=\"T_3d923_row8_col0\" class=\"data row8 col0\" >0.198133</td>\n",
-       "      <td id=\"T_3d923_row8_col1\" class=\"data row8 col1\" >0.007814</td>\n",
-       "      <td id=\"T_3d923_row8_col2\" class=\"data row8 col2\" >0.148431</td>\n",
-       "      <td id=\"T_3d923_row8_col3\" class=\"data row8 col3\" >0.018417</td>\n",
-       "      <td id=\"T_3d923_row8_col4\" class=\"data row8 col4\" >0.003066</td>\n",
-       "      <td id=\"T_3d923_row8_col5\" class=\"data row8 col5\" >0.000065</td>\n",
-       "      <td id=\"T_3d923_row8_col6\" class=\"data row8 col6\" >0.003120</td>\n",
-       "      <td id=\"T_3d923_row8_col7\" class=\"data row8 col7\" >0.001621</td>\n",
-       "      <td id=\"T_3d923_row8_col8\" class=\"data row8 col8\" >0.126054</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row9\" class=\"row_heading level0 row9\" >time (9)</th>\n",
-       "      <td id=\"T_3d923_row9_col0\" class=\"data row9 col0\" >0.196840</td>\n",
-       "      <td id=\"T_3d923_row9_col1\" class=\"data row9 col1\" >0.005341</td>\n",
-       "      <td id=\"T_3d923_row9_col2\" class=\"data row9 col2\" >0.009895</td>\n",
-       "      <td id=\"T_3d923_row9_col3\" class=\"data row9 col3\" >0.077305</td>\n",
-       "      <td id=\"T_3d923_row9_col4\" class=\"data row9 col4\" >0.884765</td>\n",
-       "      <td id=\"T_3d923_row9_col5\" class=\"data row9 col5\" >0.000052</td>\n",
-       "      <td id=\"T_3d923_row9_col6\" class=\"data row9 col6\" >0.000132</td>\n",
-       "      <td id=\"T_3d923_row9_col7\" class=\"data row9 col7\" >0.925403</td>\n",
-       "      <td id=\"T_3d923_row9_col8\" class=\"data row9 col8\" >0.994526</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row10\" class=\"row_heading level0 row10\" >does (10)</th>\n",
-       "      <td id=\"T_3d923_row10_col0\" class=\"data row10 col0\" >0.306942</td>\n",
-       "      <td id=\"T_3d923_row10_col1\" class=\"data row10 col1\" >0.989326</td>\n",
-       "      <td id=\"T_3d923_row10_col2\" class=\"data row10 col2\" >0.997537</td>\n",
-       "      <td id=\"T_3d923_row10_col3\" class=\"data row10 col3\" >0.999354</td>\n",
-       "      <td id=\"T_3d923_row10_col4\" class=\"data row10 col4\" >0.999670</td>\n",
-       "      <td id=\"T_3d923_row10_col5\" class=\"data row10 col5\" >0.999856</td>\n",
-       "      <td id=\"T_3d923_row10_col6\" class=\"data row10 col6\" >0.999899</td>\n",
-       "      <td id=\"T_3d923_row10_col7\" class=\"data row10 col7\" >0.999896</td>\n",
-       "      <td id=\"T_3d923_row10_col8\" class=\"data row10 col8\" >0.994526</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row11\" class=\"row_heading level0 row11\" >the (11)</th>\n",
-       "      <td id=\"T_3d923_row11_col0\" class=\"data row11 col0\" >0.079202</td>\n",
-       "      <td id=\"T_3d923_row11_col1\" class=\"data row11 col1\" >0.481994</td>\n",
-       "      <td id=\"T_3d923_row11_col2\" class=\"data row11 col2\" >0.116743</td>\n",
-       "      <td id=\"T_3d923_row11_col3\" class=\"data row11 col3\" >0.195275</td>\n",
-       "      <td id=\"T_3d923_row11_col4\" class=\"data row11 col4\" >0.008685</td>\n",
-       "      <td id=\"T_3d923_row11_col5\" class=\"data row11 col5\" >0.000106</td>\n",
-       "      <td id=\"T_3d923_row11_col6\" class=\"data row11 col6\" >0.001967</td>\n",
-       "      <td id=\"T_3d923_row11_col7\" class=\"data row11 col7\" >0.005189</td>\n",
-       "      <td id=\"T_3d923_row11_col8\" class=\"data row11 col8\" >0.018881</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row12\" class=\"row_heading level0 row12\" >clock (12)</th>\n",
-       "      <td id=\"T_3d923_row12_col0\" class=\"data row12 col0\" >0.132234</td>\n",
-       "      <td id=\"T_3d923_row12_col1\" class=\"data row12 col1\" >0.082222</td>\n",
-       "      <td id=\"T_3d923_row12_col2\" class=\"data row12 col2\" >0.065567</td>\n",
-       "      <td id=\"T_3d923_row12_col3\" class=\"data row12 col3\" >0.025915</td>\n",
-       "      <td id=\"T_3d923_row12_col4\" class=\"data row12 col4\" >0.004124</td>\n",
-       "      <td id=\"T_3d923_row12_col5\" class=\"data row12 col5\" >0.000114</td>\n",
-       "      <td id=\"T_3d923_row12_col6\" class=\"data row12 col6\" >0.000178</td>\n",
-       "      <td id=\"T_3d923_row12_col7\" class=\"data row12 col7\" >0.000570</td>\n",
-       "      <td id=\"T_3d923_row12_col8\" class=\"data row12 col8\" >0.028210</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row13\" class=\"row_heading level0 row13\" >show (13)</th>\n",
-       "      <td id=\"T_3d923_row13_col0\" class=\"data row13 col0\" >0.006805</td>\n",
-       "      <td id=\"T_3d923_row13_col1\" class=\"data row13 col1\" >0.014062</td>\n",
-       "      <td id=\"T_3d923_row13_col2\" class=\"data row13 col2\" >0.980760</td>\n",
-       "      <td id=\"T_3d923_row13_col3\" class=\"data row13 col3\" >0.999361</td>\n",
-       "      <td id=\"T_3d923_row13_col4\" class=\"data row13 col4\" >0.999670</td>\n",
-       "      <td id=\"T_3d923_row13_col5\" class=\"data row13 col5\" >0.999856</td>\n",
-       "      <td id=\"T_3d923_row13_col6\" class=\"data row13 col6\" >0.997756</td>\n",
-       "      <td id=\"T_3d923_row13_col7\" class=\"data row13 col7\" >0.999865</td>\n",
-       "      <td id=\"T_3d923_row13_col8\" class=\"data row13 col8\" >0.994526</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_3d923_level0_row14\" class=\"row_heading level0 row14\" >? (14)</th>\n",
-       "      <td id=\"T_3d923_row14_col0\" class=\"data row14 col0\" >0.006805</td>\n",
-       "      <td id=\"T_3d923_row14_col1\" class=\"data row14 col1\" >0.014062</td>\n",
-       "      <td id=\"T_3d923_row14_col2\" class=\"data row14 col2\" >0.980760</td>\n",
-       "      <td id=\"T_3d923_row14_col3\" class=\"data row14 col3\" >0.999361</td>\n",
-       "      <td id=\"T_3d923_row14_col4\" class=\"data row14 col4\" >0.999670</td>\n",
-       "      <td id=\"T_3d923_row14_col5\" class=\"data row14 col5\" >0.999856</td>\n",
-       "      <td id=\"T_3d923_row14_col6\" class=\"data row14 col6\" >0.997756</td>\n",
-       "      <td id=\"T_3d923_row14_col7\" class=\"data row14 col7\" >0.999865</td>\n",
-       "      <td id=\"T_3d923_row14_col8\" class=\"data row14 col8\" >0.994526</td>\n",
+       "      <th id=\"T_d9814_level0_row7\" class=\"row_heading level0 row7\" >. (7)</th>\n",
+       "      <td id=\"T_d9814_row7_col0\" class=\"data row7 col0\" >0.688956</td>\n",
+       "      <td id=\"T_d9814_row7_col1\" class=\"data row7 col1\" >0.759586</td>\n",
+       "      <td id=\"T_d9814_row7_col2\" class=\"data row7 col2\" >0.701984</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_d9814_level0_row8\" class=\"row_heading level0 row8\" >How (8)</th>\n",
+       "      <td id=\"T_d9814_row8_col0\" class=\"data row8 col0\" >0.688956</td>\n",
+       "      <td id=\"T_d9814_row8_col1\" class=\"data row8 col1\" >0.759586</td>\n",
+       "      <td id=\"T_d9814_row8_col2\" class=\"data row8 col2\" >0.701984</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_d9814_level0_row9\" class=\"row_heading level0 row9\" >many (9)</th>\n",
+       "      <td id=\"T_d9814_row9_col0\" class=\"data row9 col0\" >0.688956</td>\n",
+       "      <td id=\"T_d9814_row9_col1\" class=\"data row9 col1\" >0.759586</td>\n",
+       "      <td id=\"T_d9814_row9_col2\" class=\"data row9 col2\" >0.701984</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_d9814_level0_row10\" class=\"row_heading level0 row10\" >minutes (10)</th>\n",
+       "      <td id=\"T_d9814_row10_col0\" class=\"data row10 col0\" >0.688956</td>\n",
+       "      <td id=\"T_d9814_row10_col1\" class=\"data row10 col1\" >0.759586</td>\n",
+       "      <td id=\"T_d9814_row10_col2\" class=\"data row10 col2\" >0.701984</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_d9814_level0_row11\" class=\"row_heading level0 row11\" >' (11)</th>\n",
+       "      <td id=\"T_d9814_row11_col0\" class=\"data row11 col0\" >0.000000</td>\n",
+       "      <td id=\"T_d9814_row11_col1\" class=\"data row11 col1\" >0.000000</td>\n",
+       "      <td id=\"T_d9814_row11_col2\" class=\"data row11 col2\" >0.000000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_d9814_level0_row12\" class=\"row_heading level0 row12\" >til (12)</th>\n",
+       "      <td id=\"T_d9814_row12_col0\" class=\"data row12 col0\" >0.000000</td>\n",
+       "      <td id=\"T_d9814_row12_col1\" class=\"data row12 col1\" >0.000000</td>\n",
+       "      <td id=\"T_d9814_row12_col2\" class=\"data row12 col2\" >0.000000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_d9814_level0_row13\" class=\"row_heading level0 row13\" >10 (13)</th>\n",
+       "      <td id=\"T_d9814_row13_col0\" class=\"data row13 col0\" >0.000000</td>\n",
+       "      <td id=\"T_d9814_row13_col1\" class=\"data row13 col1\" >0.000000</td>\n",
+       "      <td id=\"T_d9814_row13_col2\" class=\"data row13 col2\" >1.000000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th id=\"T_d9814_level0_row14\" class=\"row_heading level0 row14\" >? (14)</th>\n",
+       "      <td id=\"T_d9814_row14_col0\" class=\"data row14 col0\" >0.000000</td>\n",
+       "      <td id=\"T_d9814_row14_col1\" class=\"data row14 col1\" >0.000000</td>\n",
+       "      <td id=\"T_d9814_row14_col2\" class=\"data row14 col2\" >1.000000</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n"
       ],
       "text/plain": [
-       "<pandas.io.formats.style.Styler at 0x135136a30>"
+       "<pandas.io.formats.style.Styler at 0x13afbbf40>"
       ]
      },
      "metadata": {},
@@ -1945,530 +1456,39 @@
     }
    ],
    "source": [
-    "logger.print_attribution_matrix(2, attribution_strategy=\"cosine\")\n",
-    "logger.print_attribution_matrix(2, attribution_strategy=\"prob_diff\")"
+    "logger.print_attribution_matrix(1, \"cosine\")"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [
     {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Attribution matrix for cosine with perturbation strategy distant:\n",
-      "Input Tokens (Rows) vs. Output Tokens (Columns)\n"
+     "ename": "IndexError",
+     "evalue": "index 0 is out of bounds for axis 0 with size 0",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
+      "Cell \u001b[0;32mIn[15], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43mlogger\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mprint_attribution_matrix\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m2\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mattribution_strategy\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mcosine\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[1;32m      2\u001b[0m logger\u001b[38;5;241m.\u001b[39mprint_attribution_matrix(\u001b[38;5;241m2\u001b[39m, attribution_strategy\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mprob_diff\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n",
+      "File \u001b[0;32m~/Projects/llm-attribution/attribution/experiment_logger.py:184\u001b[0m, in \u001b[0;36mExperimentLogger.print_attribution_matrix\u001b[0;34m(self, exp_id, attribution_strategy)\u001b[0m\n\u001b[1;32m    175\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m    176\u001b[0m     \u001b[38;5;66;03m# Filter the data for the specific experiment and attribution strategy\u001b[39;00m\n\u001b[1;32m    177\u001b[0m     exp_data \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mdf_token_attribution_matrix[\n\u001b[1;32m    178\u001b[0m         (\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mdf_token_attribution_matrix[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mexp_id\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m==\u001b[39m exp_id)\n\u001b[1;32m    179\u001b[0m         \u001b[38;5;241m&\u001b[39m (\n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m    182\u001b[0m         )\n\u001b[1;32m    183\u001b[0m     ]\n\u001b[0;32m--> 184\u001b[0m     perturbation_strategy \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mdf_experiments\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mloc\u001b[49m\u001b[43m[\u001b[49m\n\u001b[1;32m    185\u001b[0m \u001b[43m        \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mdf_experiments\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mexp_id\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m==\u001b[39;49m\u001b[43m \u001b[49m\u001b[43mexp_id\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mperturbation_strategy\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\n\u001b[1;32m    186\u001b[0m \u001b[43m    \u001b[49m\u001b[43m]\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mvalues\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m]\u001b[49m\n\u001b[1;32m    188\u001b[0m     \u001b[38;5;66;03m# Create the pivot table for the matrix\u001b[39;00m\n\u001b[1;32m    189\u001b[0m     matrix \u001b[38;5;241m=\u001b[39m exp_data\u001b[38;5;241m.\u001b[39mpivot(\n\u001b[1;32m    190\u001b[0m         index\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124minput_token_pos\u001b[39m\u001b[38;5;124m\"\u001b[39m, columns\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124moutput_token_pos\u001b[39m\u001b[38;5;124m\"\u001b[39m, values\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mattr_score\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m    191\u001b[0m     )\n",
+      "\u001b[0;31mIndexError\u001b[0m: index 0 is out of bounds for axis 0 with size 0"
      ]
-    },
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-       "      <th class=\"blank level0\" >&nbsp;</th>\n",
-       "      <th id=\"T_a41b6_level0_col0\" class=\"col_heading level0 col0\" >The (0)</th>\n",
-       "      <th id=\"T_a41b6_level0_col1\" class=\"col_heading level0 col1\" >building (1)</th>\n",
-       "      <th id=\"T_a41b6_level0_col2\" class=\"col_heading level0 col2\" >is (2)</th>\n",
-       "      <th id=\"T_a41b6_level0_col3\" class=\"col_heading level0 col3\" >132 (3)</th>\n",
-       "      <th id=\"T_a41b6_level0_col4\" class=\"col_heading level0 col4\" >meters (4)</th>\n",
-       "      <th id=\"T_a41b6_level0_col5\" class=\"col_heading level0 col5\" >tall (5)</th>\n",
-       "      <th id=\"T_a41b6_level0_col6\" class=\"col_heading level0 col6\" >. (6)</th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row0\" class=\"row_heading level0 row0\" >The (0)</th>\n",
-       "      <td id=\"T_a41b6_row0_col0\" class=\"data row0 col0\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row0_col1\" class=\"data row0 col1\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row0_col2\" class=\"data row0 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_a41b6_row0_col3\" class=\"data row0 col3\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row0_col4\" class=\"data row0 col4\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row0_col5\" class=\"data row0 col5\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row0_col6\" class=\"data row0 col6\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row1\" class=\"row_heading level0 row1\" >building (1)</th>\n",
-       "      <td id=\"T_a41b6_row1_col0\" class=\"data row1 col0\" >0.226659</td>\n",
-       "      <td id=\"T_a41b6_row1_col1\" class=\"data row1 col1\" >0.705013</td>\n",
-       "      <td id=\"T_a41b6_row1_col2\" class=\"data row1 col2\" >0.520012</td>\n",
-       "      <td id=\"T_a41b6_row1_col3\" class=\"data row1 col3\" >0.806286</td>\n",
-       "      <td id=\"T_a41b6_row1_col4\" class=\"data row1 col4\" >0.855425</td>\n",
-       "      <td id=\"T_a41b6_row1_col5\" class=\"data row1 col5\" >0.756068</td>\n",
-       "      <td id=\"T_a41b6_row1_col6\" class=\"data row1 col6\" >0.466330</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row2\" class=\"row_heading level0 row2\" >is (2)</th>\n",
-       "      <td id=\"T_a41b6_row2_col0\" class=\"data row2 col0\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row2_col1\" class=\"data row2 col1\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row2_col2\" class=\"data row2 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_a41b6_row2_col3\" class=\"data row2 col3\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row2_col4\" class=\"data row2 col4\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row2_col5\" class=\"data row2 col5\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row2_col6\" class=\"data row2 col6\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row3\" class=\"row_heading level0 row3\" >132 (3)</th>\n",
-       "      <td id=\"T_a41b6_row3_col0\" class=\"data row3 col0\" >0.226659</td>\n",
-       "      <td id=\"T_a41b6_row3_col1\" class=\"data row3 col1\" >0.770341</td>\n",
-       "      <td id=\"T_a41b6_row3_col2\" class=\"data row3 col2\" >0.621099</td>\n",
-       "      <td id=\"T_a41b6_row3_col3\" class=\"data row3 col3\" >0.807823</td>\n",
-       "      <td id=\"T_a41b6_row3_col4\" class=\"data row3 col4\" >0.785745</td>\n",
-       "      <td id=\"T_a41b6_row3_col5\" class=\"data row3 col5\" >0.767478</td>\n",
-       "      <td id=\"T_a41b6_row3_col6\" class=\"data row3 col6\" >0.480238</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row4\" class=\"row_heading level0 row4\" >met (4)</th>\n",
-       "      <td id=\"T_a41b6_row4_col0\" class=\"data row4 col0\" >0.226659</td>\n",
-       "      <td id=\"T_a41b6_row4_col1\" class=\"data row4 col1\" >0.705013</td>\n",
-       "      <td id=\"T_a41b6_row4_col2\" class=\"data row4 col2\" >0.520012</td>\n",
-       "      <td id=\"T_a41b6_row4_col3\" class=\"data row4 col3\" >0.788010</td>\n",
-       "      <td id=\"T_a41b6_row4_col4\" class=\"data row4 col4\" >0.798989</td>\n",
-       "      <td id=\"T_a41b6_row4_col5\" class=\"data row4 col5\" >0.771913</td>\n",
-       "      <td id=\"T_a41b6_row4_col6\" class=\"data row4 col6\" >0.412676</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row5\" class=\"row_heading level0 row5\" >ers (5)</th>\n",
-       "      <td id=\"T_a41b6_row5_col0\" class=\"data row5 col0\" >0.226659</td>\n",
-       "      <td id=\"T_a41b6_row5_col1\" class=\"data row5 col1\" >0.705013</td>\n",
-       "      <td id=\"T_a41b6_row5_col2\" class=\"data row5 col2\" >0.520012</td>\n",
-       "      <td id=\"T_a41b6_row5_col3\" class=\"data row5 col3\" >0.788010</td>\n",
-       "      <td id=\"T_a41b6_row5_col4\" class=\"data row5 col4\" >0.798989</td>\n",
-       "      <td id=\"T_a41b6_row5_col5\" class=\"data row5 col5\" >0.771913</td>\n",
-       "      <td id=\"T_a41b6_row5_col6\" class=\"data row5 col6\" >0.412676</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row6\" class=\"row_heading level0 row6\" >tall (6)</th>\n",
-       "      <td id=\"T_a41b6_row6_col0\" class=\"data row6 col0\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row6_col1\" class=\"data row6 col1\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row6_col2\" class=\"data row6 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_a41b6_row6_col3\" class=\"data row6 col3\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row6_col4\" class=\"data row6 col4\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row6_col5\" class=\"data row6 col5\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row6_col6\" class=\"data row6 col6\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row7\" class=\"row_heading level0 row7\" >. (7)</th>\n",
-       "      <td id=\"T_a41b6_row7_col0\" class=\"data row7 col0\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row7_col1\" class=\"data row7 col1\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row7_col2\" class=\"data row7 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_a41b6_row7_col3\" class=\"data row7 col3\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row7_col4\" class=\"data row7 col4\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row7_col5\" class=\"data row7 col5\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row7_col6\" class=\"data row7 col6\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row8\" class=\"row_heading level0 row8\" >How (8)</th>\n",
-       "      <td id=\"T_a41b6_row8_col0\" class=\"data row8 col0\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row8_col1\" class=\"data row8 col1\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row8_col2\" class=\"data row8 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_a41b6_row8_col3\" class=\"data row8 col3\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row8_col4\" class=\"data row8 col4\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row8_col5\" class=\"data row8 col5\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row8_col6\" class=\"data row8 col6\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row9\" class=\"row_heading level0 row9\" >tall (9)</th>\n",
-       "      <td id=\"T_a41b6_row9_col0\" class=\"data row9 col0\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row9_col1\" class=\"data row9 col1\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row9_col2\" class=\"data row9 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_a41b6_row9_col3\" class=\"data row9 col3\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row9_col4\" class=\"data row9 col4\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row9_col5\" class=\"data row9 col5\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row9_col6\" class=\"data row9 col6\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row10\" class=\"row_heading level0 row10\" >is (10)</th>\n",
-       "      <td id=\"T_a41b6_row10_col0\" class=\"data row10 col0\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row10_col1\" class=\"data row10 col1\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row10_col2\" class=\"data row10 col2\" >-0.000000</td>\n",
-       "      <td id=\"T_a41b6_row10_col3\" class=\"data row10 col3\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row10_col4\" class=\"data row10 col4\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row10_col5\" class=\"data row10 col5\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row10_col6\" class=\"data row10 col6\" >0.000000</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row11\" class=\"row_heading level0 row11\" >the (11)</th>\n",
-       "      <td id=\"T_a41b6_row11_col0\" class=\"data row11 col0\" >0.000000</td>\n",
-       "      <td id=\"T_a41b6_row11_col1\" class=\"data row11 col1\" >0.758592</td>\n",
-       "      <td id=\"T_a41b6_row11_col2\" class=\"data row11 col2\" >0.410312</td>\n",
-       "      <td id=\"T_a41b6_row11_col3\" class=\"data row11 col3\" >0.698263</td>\n",
-       "      <td id=\"T_a41b6_row11_col4\" class=\"data row11 col4\" >0.818360</td>\n",
-       "      <td id=\"T_a41b6_row11_col5\" class=\"data row11 col5\" >0.803358</td>\n",
-       "      <td id=\"T_a41b6_row11_col6\" class=\"data row11 col6\" >0.749395</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row12\" class=\"row_heading level0 row12\" >building (12)</th>\n",
-       "      <td id=\"T_a41b6_row12_col0\" class=\"data row12 col0\" >0.226659</td>\n",
-       "      <td id=\"T_a41b6_row12_col1\" class=\"data row12 col1\" >0.705013</td>\n",
-       "      <td id=\"T_a41b6_row12_col2\" class=\"data row12 col2\" >0.520012</td>\n",
-       "      <td id=\"T_a41b6_row12_col3\" class=\"data row12 col3\" >0.788010</td>\n",
-       "      <td id=\"T_a41b6_row12_col4\" class=\"data row12 col4\" >0.798989</td>\n",
-       "      <td id=\"T_a41b6_row12_col5\" class=\"data row12 col5\" >0.778579</td>\n",
-       "      <td id=\"T_a41b6_row12_col6\" class=\"data row12 col6\" >0.796747</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_a41b6_level0_row13\" class=\"row_heading level0 row13\" >? (13)</th>\n",
-       "      <td id=\"T_a41b6_row13_col0\" class=\"data row13 col0\" >0.226659</td>\n",
-       "      <td id=\"T_a41b6_row13_col1\" class=\"data row13 col1\" >0.705013</td>\n",
-       "      <td id=\"T_a41b6_row13_col2\" class=\"data row13 col2\" >0.520012</td>\n",
-       "      <td id=\"T_a41b6_row13_col3\" class=\"data row13 col3\" >0.788010</td>\n",
-       "      <td id=\"T_a41b6_row13_col4\" class=\"data row13 col4\" >0.798989</td>\n",
-       "      <td id=\"T_a41b6_row13_col5\" class=\"data row13 col5\" >0.778579</td>\n",
-       "      <td id=\"T_a41b6_row13_col6\" class=\"data row13 col6\" >0.796747</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n"
-      ],
-      "text/plain": [
-       "<pandas.io.formats.style.Styler at 0x135107af0>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Attribution matrix for prob_diff with perturbation strategy distant:\n",
-      "Input Tokens (Rows) vs. Output Tokens (Columns)\n"
-     ]
-    },
-    {
-     "data": {
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-       "<table id=\"T_70d8f\">\n",
-       "  <thead>\n",
-       "    <tr>\n",
-       "      <th class=\"blank level0\" >&nbsp;</th>\n",
-       "      <th id=\"T_70d8f_level0_col0\" class=\"col_heading level0 col0\" >The (0)</th>\n",
-       "      <th id=\"T_70d8f_level0_col1\" class=\"col_heading level0 col1\" > building (1)</th>\n",
-       "      <th id=\"T_70d8f_level0_col2\" class=\"col_heading level0 col2\" > is (2)</th>\n",
-       "      <th id=\"T_70d8f_level0_col3\" class=\"col_heading level0 col3\" >  (3)</th>\n",
-       "      <th id=\"T_70d8f_level0_col4\" class=\"col_heading level0 col4\" >132 (4)</th>\n",
-       "      <th id=\"T_70d8f_level0_col5\" class=\"col_heading level0 col5\" > meters (5)</th>\n",
-       "      <th id=\"T_70d8f_level0_col6\" class=\"col_heading level0 col6\" > tall (6)</th>\n",
-       "      <th id=\"T_70d8f_level0_col7\" class=\"col_heading level0 col7\" >. (7)</th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row0\" class=\"row_heading level0 row0\" >The (0)</th>\n",
-       "      <td id=\"T_70d8f_row0_col0\" class=\"data row0 col0\" >0.018736</td>\n",
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-       "      <td id=\"T_70d8f_row0_col2\" class=\"data row0 col2\" >0.000309</td>\n",
-       "      <td id=\"T_70d8f_row0_col3\" class=\"data row0 col3\" >0.000079</td>\n",
-       "      <td id=\"T_70d8f_row0_col4\" class=\"data row0 col4\" >0.000053</td>\n",
-       "      <td id=\"T_70d8f_row0_col5\" class=\"data row0 col5\" >0.000006</td>\n",
-       "      <td id=\"T_70d8f_row0_col6\" class=\"data row0 col6\" >0.000121</td>\n",
-       "      <td id=\"T_70d8f_row0_col7\" class=\"data row0 col7\" >0.000022</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row1\" class=\"row_heading level0 row1\" >building (1)</th>\n",
-       "      <td id=\"T_70d8f_row1_col0\" class=\"data row1 col0\" >0.777744</td>\n",
-       "      <td id=\"T_70d8f_row1_col1\" class=\"data row1 col1\" >0.999023</td>\n",
-       "      <td id=\"T_70d8f_row1_col2\" class=\"data row1 col2\" >0.999883</td>\n",
-       "      <td id=\"T_70d8f_row1_col3\" class=\"data row1 col3\" >0.999955</td>\n",
-       "      <td id=\"T_70d8f_row1_col4\" class=\"data row1 col4\" >0.999962</td>\n",
-       "      <td id=\"T_70d8f_row1_col5\" class=\"data row1 col5\" >0.999989</td>\n",
-       "      <td id=\"T_70d8f_row1_col6\" class=\"data row1 col6\" >0.999822</td>\n",
-       "      <td id=\"T_70d8f_row1_col7\" class=\"data row1 col7\" >0.999864</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row2\" class=\"row_heading level0 row2\" >is (2)</th>\n",
-       "      <td id=\"T_70d8f_row2_col0\" class=\"data row2 col0\" >0.015364</td>\n",
-       "      <td id=\"T_70d8f_row2_col1\" class=\"data row2 col1\" >0.000713</td>\n",
-       "      <td id=\"T_70d8f_row2_col2\" class=\"data row2 col2\" >0.008316</td>\n",
-       "      <td id=\"T_70d8f_row2_col3\" class=\"data row2 col3\" >0.000166</td>\n",
-       "      <td id=\"T_70d8f_row2_col4\" class=\"data row2 col4\" >0.000016</td>\n",
-       "      <td id=\"T_70d8f_row2_col5\" class=\"data row2 col5\" >0.000007</td>\n",
-       "      <td id=\"T_70d8f_row2_col6\" class=\"data row2 col6\" >0.000146</td>\n",
-       "      <td id=\"T_70d8f_row2_col7\" class=\"data row2 col7\" >0.000301</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row3\" class=\"row_heading level0 row3\" >132 (3)</th>\n",
-       "      <td id=\"T_70d8f_row3_col0\" class=\"data row3 col0\" >0.985685</td>\n",
-       "      <td id=\"T_70d8f_row3_col1\" class=\"data row3 col1\" >0.999023</td>\n",
-       "      <td id=\"T_70d8f_row3_col2\" class=\"data row3 col2\" >0.999883</td>\n",
-       "      <td id=\"T_70d8f_row3_col3\" class=\"data row3 col3\" >0.999893</td>\n",
-       "      <td id=\"T_70d8f_row3_col4\" class=\"data row3 col4\" >0.999962</td>\n",
-       "      <td id=\"T_70d8f_row3_col5\" class=\"data row3 col5\" >0.999989</td>\n",
-       "      <td id=\"T_70d8f_row3_col6\" class=\"data row3 col6\" >0.999822</td>\n",
-       "      <td id=\"T_70d8f_row3_col7\" class=\"data row3 col7\" >0.999864</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row4\" class=\"row_heading level0 row4\" >met (4)</th>\n",
-       "      <td id=\"T_70d8f_row4_col0\" class=\"data row4 col0\" >0.963465</td>\n",
-       "      <td id=\"T_70d8f_row4_col1\" class=\"data row4 col1\" >0.999023</td>\n",
-       "      <td id=\"T_70d8f_row4_col2\" class=\"data row4 col2\" >0.999883</td>\n",
-       "      <td id=\"T_70d8f_row4_col3\" class=\"data row4 col3\" >0.999942</td>\n",
-       "      <td id=\"T_70d8f_row4_col4\" class=\"data row4 col4\" >0.999962</td>\n",
-       "      <td id=\"T_70d8f_row4_col5\" class=\"data row4 col5\" >0.999989</td>\n",
-       "      <td id=\"T_70d8f_row4_col6\" class=\"data row4 col6\" >0.999822</td>\n",
-       "      <td id=\"T_70d8f_row4_col7\" class=\"data row4 col7\" >0.999864</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row5\" class=\"row_heading level0 row5\" >ers (5)</th>\n",
-       "      <td id=\"T_70d8f_row5_col0\" class=\"data row5 col0\" >0.963465</td>\n",
-       "      <td id=\"T_70d8f_row5_col1\" class=\"data row5 col1\" >0.999023</td>\n",
-       "      <td id=\"T_70d8f_row5_col2\" class=\"data row5 col2\" >0.999883</td>\n",
-       "      <td id=\"T_70d8f_row5_col3\" class=\"data row5 col3\" >0.999942</td>\n",
-       "      <td id=\"T_70d8f_row5_col4\" class=\"data row5 col4\" >0.999962</td>\n",
-       "      <td id=\"T_70d8f_row5_col5\" class=\"data row5 col5\" >0.999989</td>\n",
-       "      <td id=\"T_70d8f_row5_col6\" class=\"data row5 col6\" >0.999822</td>\n",
-       "      <td id=\"T_70d8f_row5_col7\" class=\"data row5 col7\" >0.999864</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row6\" class=\"row_heading level0 row6\" >tall (6)</th>\n",
-       "      <td id=\"T_70d8f_row6_col0\" class=\"data row6 col0\" >0.057443</td>\n",
-       "      <td id=\"T_70d8f_row6_col1\" class=\"data row6 col1\" >0.000039</td>\n",
-       "      <td id=\"T_70d8f_row6_col2\" class=\"data row6 col2\" >0.000001</td>\n",
-       "      <td id=\"T_70d8f_row6_col3\" class=\"data row6 col3\" >0.001233</td>\n",
-       "      <td id=\"T_70d8f_row6_col4\" class=\"data row6 col4\" >0.000211</td>\n",
-       "      <td id=\"T_70d8f_row6_col5\" class=\"data row6 col5\" >0.000013</td>\n",
-       "      <td id=\"T_70d8f_row6_col6\" class=\"data row6 col6\" >0.001011</td>\n",
-       "      <td id=\"T_70d8f_row6_col7\" class=\"data row6 col7\" >0.000231</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row7\" class=\"row_heading level0 row7\" >. (7)</th>\n",
-       "      <td id=\"T_70d8f_row7_col0\" class=\"data row7 col0\" >0.057443</td>\n",
-       "      <td id=\"T_70d8f_row7_col1\" class=\"data row7 col1\" >0.000039</td>\n",
-       "      <td id=\"T_70d8f_row7_col2\" class=\"data row7 col2\" >0.000001</td>\n",
-       "      <td id=\"T_70d8f_row7_col3\" class=\"data row7 col3\" >0.001233</td>\n",
-       "      <td id=\"T_70d8f_row7_col4\" class=\"data row7 col4\" >0.000211</td>\n",
-       "      <td id=\"T_70d8f_row7_col5\" class=\"data row7 col5\" >0.000013</td>\n",
-       "      <td id=\"T_70d8f_row7_col6\" class=\"data row7 col6\" >0.001011</td>\n",
-       "      <td id=\"T_70d8f_row7_col7\" class=\"data row7 col7\" >0.000231</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row8\" class=\"row_heading level0 row8\" >How (8)</th>\n",
-       "      <td id=\"T_70d8f_row8_col0\" class=\"data row8 col0\" >0.017349</td>\n",
-       "      <td id=\"T_70d8f_row8_col1\" class=\"data row8 col1\" >0.013034</td>\n",
-       "      <td id=\"T_70d8f_row8_col2\" class=\"data row8 col2\" >0.006253</td>\n",
-       "      <td id=\"T_70d8f_row8_col3\" class=\"data row8 col3\" >0.351449</td>\n",
-       "      <td id=\"T_70d8f_row8_col4\" class=\"data row8 col4\" >0.024528</td>\n",
-       "      <td id=\"T_70d8f_row8_col5\" class=\"data row8 col5\" >0.000197</td>\n",
-       "      <td id=\"T_70d8f_row8_col6\" class=\"data row8 col6\" >0.034164</td>\n",
-       "      <td id=\"T_70d8f_row8_col7\" class=\"data row8 col7\" >0.228418</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row9\" class=\"row_heading level0 row9\" >tall (9)</th>\n",
-       "      <td id=\"T_70d8f_row9_col0\" class=\"data row9 col0\" >0.028325</td>\n",
-       "      <td id=\"T_70d8f_row9_col1\" class=\"data row9 col1\" >0.024104</td>\n",
-       "      <td id=\"T_70d8f_row9_col2\" class=\"data row9 col2\" >0.002190</td>\n",
-       "      <td id=\"T_70d8f_row9_col3\" class=\"data row9 col3\" >0.004585</td>\n",
-       "      <td id=\"T_70d8f_row9_col4\" class=\"data row9 col4\" >0.000051</td>\n",
-       "      <td id=\"T_70d8f_row9_col5\" class=\"data row9 col5\" >0.000016</td>\n",
-       "      <td id=\"T_70d8f_row9_col6\" class=\"data row9 col6\" >0.000100</td>\n",
-       "      <td id=\"T_70d8f_row9_col7\" class=\"data row9 col7\" >0.001761</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row10\" class=\"row_heading level0 row10\" >is (10)</th>\n",
-       "      <td id=\"T_70d8f_row10_col0\" class=\"data row10 col0\" >0.303973</td>\n",
-       "      <td id=\"T_70d8f_row10_col1\" class=\"data row10 col1\" >0.439957</td>\n",
-       "      <td id=\"T_70d8f_row10_col2\" class=\"data row10 col2\" >0.009363</td>\n",
-       "      <td id=\"T_70d8f_row10_col3\" class=\"data row10 col3\" >0.001068</td>\n",
-       "      <td id=\"T_70d8f_row10_col4\" class=\"data row10 col4\" >0.000115</td>\n",
-       "      <td id=\"T_70d8f_row10_col5\" class=\"data row10 col5\" >0.000057</td>\n",
-       "      <td id=\"T_70d8f_row10_col6\" class=\"data row10 col6\" >0.000024</td>\n",
-       "      <td id=\"T_70d8f_row10_col7\" class=\"data row10 col7\" >0.001697</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row11\" class=\"row_heading level0 row11\" >the (11)</th>\n",
-       "      <td id=\"T_70d8f_row11_col0\" class=\"data row11 col0\" >0.455051</td>\n",
-       "      <td id=\"T_70d8f_row11_col1\" class=\"data row11 col1\" >0.987737</td>\n",
-       "      <td id=\"T_70d8f_row11_col2\" class=\"data row11 col2\" >0.795123</td>\n",
-       "      <td id=\"T_70d8f_row11_col3\" class=\"data row11 col3\" >0.999935</td>\n",
-       "      <td id=\"T_70d8f_row11_col4\" class=\"data row11 col4\" >0.999962</td>\n",
-       "      <td id=\"T_70d8f_row11_col5\" class=\"data row11 col5\" >0.999989</td>\n",
-       "      <td id=\"T_70d8f_row11_col6\" class=\"data row11 col6\" >0.999822</td>\n",
-       "      <td id=\"T_70d8f_row11_col7\" class=\"data row11 col7\" >0.989866</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row12\" class=\"row_heading level0 row12\" >building (12)</th>\n",
-       "      <td id=\"T_70d8f_row12_col0\" class=\"data row12 col0\" >0.972775</td>\n",
-       "      <td id=\"T_70d8f_row12_col1\" class=\"data row12 col1\" >0.999023</td>\n",
-       "      <td id=\"T_70d8f_row12_col2\" class=\"data row12 col2\" >0.999883</td>\n",
-       "      <td id=\"T_70d8f_row12_col3\" class=\"data row12 col3\" >0.999955</td>\n",
-       "      <td id=\"T_70d8f_row12_col4\" class=\"data row12 col4\" >0.999962</td>\n",
-       "      <td id=\"T_70d8f_row12_col5\" class=\"data row12 col5\" >0.999989</td>\n",
-       "      <td id=\"T_70d8f_row12_col6\" class=\"data row12 col6\" >0.999822</td>\n",
-       "      <td id=\"T_70d8f_row12_col7\" class=\"data row12 col7\" >0.999864</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th id=\"T_70d8f_level0_row13\" class=\"row_heading level0 row13\" >? (13)</th>\n",
-       "      <td id=\"T_70d8f_row13_col0\" class=\"data row13 col0\" >0.972775</td>\n",
-       "      <td id=\"T_70d8f_row13_col1\" class=\"data row13 col1\" >0.999023</td>\n",
-       "      <td id=\"T_70d8f_row13_col2\" class=\"data row13 col2\" >0.999883</td>\n",
-       "      <td id=\"T_70d8f_row13_col3\" class=\"data row13 col3\" >0.999955</td>\n",
-       "      <td id=\"T_70d8f_row13_col4\" class=\"data row13 col4\" >0.999962</td>\n",
-       "      <td id=\"T_70d8f_row13_col5\" class=\"data row13 col5\" >0.999989</td>\n",
-       "      <td id=\"T_70d8f_row13_col6\" class=\"data row13 col6\" >0.999822</td>\n",
-       "      <td id=\"T_70d8f_row13_col7\" class=\"data row13 col7\" >0.999864</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n"
-      ],
-      "text/plain": [
-       "<pandas.io.formats.style.Styler at 0x1352133d0>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
     }
    ],
    "source": [
-    "logger.print_attribution_matrix(3, attribution_strategy=\"cosine\")\n",
-    "logger.print_attribution_matrix(3, attribution_strategy=\"prob_diff\")"
+    "logger.print_attribution_matrix(2, attribution_strategy=\"cosine\")\n",
+    "logger.print_attribution_matrix(2, attribution_strategy=\"prob_diff\")"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
   {
    "cell_type": "code",
    "execution_count": null,
@@ -2493,7 +1513,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.11.6"
+   "version": "3.9.19"
   }
  },
  "nbformat": 4,