diff --git a/explore.ipynb b/explore.ipynb
deleted file mode 100644
index 24318c4..0000000
--- a/explore.ipynb
+++ /dev/null
@@ -1,164 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "import sympy as sym\n",
-    "from sympy import *\n",
-    "\n",
-    "def symbolize_matrix(matrix_prefix=\"k\"):\n",
-    "    \"\"\"Symbolize a matrix with the given prefix.\n",
-    "    \n",
-    "    Parameters\n",
-    "    ----------\n",
-    "    matrix_prefix : str\n",
-    "        The prefix to use for the matrix.\n",
-    "        \n",
-    "    Returns\n",
-    "    -------\n",
-    "    A : sympy.Matrix\n",
-    "        The symbolized matrix.\n",
-    "    \"\"\"\n",
-    "    A = sym.Matrix([\n",
-    "        [sym.symbols(f\"{matrix_prefix}_00\"), sym.symbols(f\"{matrix_prefix}_01\"), sym.symbols(f\"{matrix_prefix}_02\")],\n",
-    "        [sym.symbols(f\"{matrix_prefix}_10\"), sym.symbols(f\"{matrix_prefix}_11\"), sym.symbols(f\"{matrix_prefix}_12\")],\n",
-    "        [sym.symbols(f\"{matrix_prefix}_20\"), sym.symbols(f\"{matrix_prefix}_21\"), sym.symbols(f\"{matrix_prefix}_22\")]\n",
-    "    ])\n",
-    "    return A\n",
-    "\n",
-    "A = symbolize_matrix(\"a\")\n",
-    "\n",
-    "B=A*(A.T)\n",
-    "\n",
-    "DB = symbolize_matrix(\"\\partial_B\")\n",
-    "# sum(diff(B[i,j], A[0,0]) for i in range(3) for j in range(3))\n",
-    "DB = sym.Matrix([\n",
-    "    [diff(B[0,0], A[0,0]), diff(B[0,0], A[0,1]), diff(B[0,0], A[0,2]), diff(B[0,0], A[1,0]), diff(B[0,0], A[1,1]), diff(B[0,0], A[1,2]), diff(B[0,0], A[2,0]), diff(B[0,0], A[2,1]), diff(B[0,0], A[2,2])],\n",
-    "    [diff(B[0,1], A[0,0]), diff(B[0,1], A[0,1]), diff(B[0,1], A[0,2]), diff(B[0,1], A[1,0]), diff(B[0,1], A[1,1]), diff(B[0,1], A[1,2]), diff(B[0,1], A[2,0]), diff(B[0,1], A[2,1]), diff(B[0,1], A[2,2])],\n",
-    "    [diff(B[0,2], A[0,0]), diff(B[0,2], A[0,1]), diff(B[0,2], A[0,2]), diff(B[0,2], A[1,0]), diff(B[0,2], A[1,1]), diff(B[0,2], A[1,2]), diff(B[0,2], A[2,0]), diff(B[0,2], A[2,1]), diff(B[0,2], A[2,2])],\n",
-    "    [diff(B[1,0], A[0,0]), diff(B[1,0], A[0,1]), diff(B[1,0], A[0,2]), diff(B[1,0], A[1,0]), diff(B[1,0], A[1,1]), diff(B[1,0], A[1,2]), diff(B[1,0], A[2,0]), diff(B[1,0], A[2,1]), diff(B[1,0], A[2,2])],\n",
-    "    [diff(B[1,1], A[0,0]), diff(B[1,1], A[0,1]), diff(B[1,1], A[0,2]), diff(B[1,1], A[1,0]), diff(B[1,1], A[1,1]), diff(B[1,1], A[1,2]), diff(B[1,1], A[2,0]), diff(B[1,1], A[2,1]), diff(B[1,1], A[2,2])],\n",
-    "    [diff(B[1,2], A[0,0]), diff(B[1,2], A[0,1]), diff(B[1,2], A[0,2]), diff(B[1,2], A[1,0]), diff(B[1,2], A[1,1]), diff(B[1,2], A[1,2]), diff(B[1,2], A[2,0]), diff(B[1,2], A[2,1]), diff(B[1,2], A[2,2])],\n",
-    "    [diff(B[2,0], A[0,0]), diff(B[2,0], A[0,1]), diff(B[2,0], A[0,2]), diff(B[2,0], A[1,0]), diff(B[2,0], A[1,1]), diff(B[2,0], A[1,2]), diff(B[2,0], A[2,0]), diff(B[2,0], A[2,1]), diff(B[2,0], A[2,2])],\n",
-    "    [diff(B[2,1], A[0,0]), diff(B[2,1], A[0,1]), diff(B[2,1], A[0,2]), diff(B[2,1], A[1,0]), diff(B[2,1], A[1,1]), diff(B[2,1], A[1,2]), diff(B[2,1], A[2,0]), diff(B[2,1], A[2,1]), diff(B[2,1], A[2,2])],\n",
-    "    [diff(B[2,2], A[0,0]), diff(B[2,2], A[0,1]), diff(B[2,2], A[0,2]), diff(B[2,2], A[1,0]), diff(B[2,2], A[1,1]), diff(B[2,2], A[1,2]), diff(B[2,2], A[2,0]), diff(B[2,2], A[2,1]), diff(B[2,2], A[2,2])]\n",
-    "])\n",
-    "print(DB)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 11,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/latex": [
-       "$\\displaystyle \\left[\\begin{matrix}2 a_{00} k_{00} + a_{01} k_{01} + a_{01} k_{10} + a_{02} k_{02} + a_{02} k_{20} & a_{00} k_{01} + a_{00} k_{10} + 2 a_{01} k_{11} + a_{02} k_{12} + a_{02} k_{21} & 0 & 0\\\\a_{10} k_{00} + a_{11} k_{01} + a_{12} k_{02} & a_{10} k_{10} + a_{11} k_{11} + a_{12} k_{12} & a_{00} k_{00} + a_{01} k_{10} + a_{02} k_{20} & a_{00} k_{01} + a_{01} k_{11} + a_{02} k_{21}\\\\a_{10} k_{00} + a_{11} k_{10} + a_{12} k_{20} & a_{10} k_{01} + a_{11} k_{11} + a_{12} k_{21} & a_{00} k_{00} + a_{01} k_{01} + a_{02} k_{02} & a_{00} k_{10} + a_{01} k_{11} + a_{02} k_{12}\\\\0 & 0 & 2 a_{10} k_{00} + a_{11} k_{01} + a_{11} k_{10} + a_{12} k_{02} + a_{12} k_{20} & a_{10} k_{01} + a_{10} k_{10} + 2 a_{11} k_{11} + a_{12} k_{12} + a_{12} k_{21}\\end{matrix}\\right]$"
-      ],
-      "text/plain": [
-       "Matrix([\n",
-       "[2*a_00*k_00 + a_01*k_01 + a_01*k_10 + a_02*k_02 + a_02*k_20, a_00*k_01 + a_00*k_10 + 2*a_01*k_11 + a_02*k_12 + a_02*k_21,                                                           0,                                                           0],\n",
-       "[                          a_10*k_00 + a_11*k_01 + a_12*k_02,                           a_10*k_10 + a_11*k_11 + a_12*k_12,                           a_00*k_00 + a_01*k_10 + a_02*k_20,                           a_00*k_01 + a_01*k_11 + a_02*k_21],\n",
-       "[                          a_10*k_00 + a_11*k_10 + a_12*k_20,                           a_10*k_01 + a_11*k_11 + a_12*k_21,                           a_00*k_00 + a_01*k_01 + a_02*k_02,                           a_00*k_10 + a_01*k_11 + a_02*k_12],\n",
-       "[                                                          0,                                                           0, 2*a_10*k_00 + a_11*k_01 + a_11*k_10 + a_12*k_02 + a_12*k_20, a_10*k_01 + a_10*k_10 + 2*a_11*k_11 + a_12*k_12 + a_12*k_21]])"
-      ]
-     },
-     "execution_count": 11,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "DB = symbolize_matrix(\"\\partial_B\")\n",
-    "# sum(diff(B[i,j], A[0,0]) for i in range(3) for j in range(3))\n",
-    "DB = sym.Matrix([\n",
-    "    [diff(B[0,0], A[0,0]), diff(B[0,0], A[0,1]), diff(B[0,0], A[0,2]), diff(B[0,0], A[1,0]), diff(B[0,0], A[1,1]), diff(B[0,0], A[1,2]), diff(B[0,0], A[2,0]), diff(B[0,0], A[2,1]), diff(B[0,0], A[2,2])],\n",
-    "    [diff(B[0,1], A[0,0]), diff(B[0,1], A[0,1]), diff(B[0,1], A[0,2]), diff(B[0,1], A[1,0]), diff(B[0,1], A[1,1]), diff(B[0,1], A[1,2]), diff(B[0,1], A[2,0]), diff(B[0,1], A[2,1]), diff(B[0,1], A[2,2])],\n",
-    "    [diff(B[0,2], A[0,0]), diff(B[0,2], A[0,1]), diff(B[0,2], A[0,2]), diff(B[0,2], A[1,0]), diff(B[0,2], A[1,1]), diff(B[0,2], A[1,2]), diff(B[0,2], A[2,0]), diff(B[0,2], A[2,1]), diff(B[0,2], A[2,2])],\n",
-    "    [diff(B[1,0], A[0,0]), diff(B[1,0], A[0,1]), diff(B[1,0], A[0,2]), diff(B[1,0], A[1,0]), diff(B[1,0], A[1,1]), diff(B[1,0], A[1,2]), diff(B[1,0], A[2,0]), diff(B[1,0], A[2,1]), diff(B[1,0], A[2,2])],\n",
-    "    [diff(B[1,1], A[0,0]), diff(B[1,1], A[0,1]), diff(B[1,1], A[0,2]), diff(B[1,1], A[1,0]), diff(B[1,1], A[1,1]), diff(B[1,1], A[1,2]), diff(B[1,1], A[2,0]), diff(B[1,1], A[2,1]), diff(B[1,1], A[2,2])],\n",
-    "    [diff(B[1,2], A[0,0]), diff(B[1,2], A[0,1]), diff(B[1,2], A[0,2]), diff(B[1,2], A[1,0]), diff(B[1,2], A[1,1]), diff(B[1,2], A[1,2]), diff(B[1,2], A[2,0]), diff(B[1,2], A[2,1]), diff(B[1,2], A[2,2])],\n",
-    "    [diff(B[2,0], A[0,0]), diff(B[2,0], A[0,1]), diff(B[2,0], A[0,2]), diff(B[2,0], A[1,0]), diff(B[2,0], A[1,1]), diff(B[2,0], A[1,2]), diff(B[2,0], A[2,0]), diff(B[2,0], A[2,1]), diff(B[2,0], A[2,2])],\n",
-    "    [diff(B[2,1], A[0,0]), diff(B[2,1], A[0,1]), diff(B[2,1], A[0,2]), diff(B[2,1], A[1,0]), diff(B[2,1], A[1,1]), diff(B[2,1], A[1,2]), diff(B[2,1], A[2,0]), diff(B[2,1], A[2,1]), diff(B[2,1], A[2,2])],\n",
-    "    [diff(B[2,2], A[0,0]), diff(B[2,2], A[0,1]), diff(B[2,2], A[0,2]), diff(B[2,2], A[1,0]), diff(B[2,2], A[1,1]), diff(B[2,2], A[1,2]), diff(B[2,2], A[2,0]), diff(B[2,2], A[2,1]), diff(B[2,2], A[2,2])]\n",
-    "])\n",
-    "DB"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 9,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/latex": [
-       "$\\displaystyle \\left[\\begin{matrix}a_{00} \\left(a_{00} k_{00} + a_{01} k_{10}\\right) + a_{01} \\left(a_{00} k_{01} + a_{01} k_{11}\\right) & a_{10} \\left(a_{00} k_{00} + a_{01} k_{10}\\right) + a_{11} \\left(a_{00} k_{01} + a_{01} k_{11}\\right)\\\\a_{00} \\left(a_{10} k_{00} + a_{11} k_{10}\\right) + a_{01} \\left(a_{10} k_{01} + a_{11} k_{11}\\right) & a_{10} \\left(a_{10} k_{00} + a_{11} k_{10}\\right) + a_{11} \\left(a_{10} k_{01} + a_{11} k_{11}\\right)\\end{matrix}\\right]$"
-      ],
-      "text/plain": [
-       "Matrix([\n",
-       "[a_00*(a_00*k_00 + a_01*k_10) + a_01*(a_00*k_01 + a_01*k_11), a_10*(a_00*k_00 + a_01*k_10) + a_11*(a_00*k_01 + a_01*k_11)],\n",
-       "[a_00*(a_10*k_00 + a_11*k_10) + a_01*(a_10*k_01 + a_11*k_11), a_10*(a_10*k_00 + a_11*k_10) + a_11*(a_10*k_01 + a_11*k_11)]])"
-      ]
-     },
-     "execution_count": 9,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "# DA * DB\n"
-   ]
-  },
-  {
-   "attachments": {},
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "### B = $AKA^T$ Gradients w.r.t A\n",
-    "$\\frac{\\partial L}{\\partial B} = \\left( \\partial L/\\partial b_{0,0}, \\partial L/\\partial b_{0,1} \\right)$\n",
-    "\n",
-    "$$vec(d(B)) = vec()$$"
-   ]
-  },
-  {
-   "attachments": {},
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": []
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "nerfacc",
-   "language": "python",
-   "name": "python3"
-  },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 3
-   },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython3",
-   "version": "3.8.16"
-  },
-  "orig_nbformat": 4
- },
- "nbformat": 4,
- "nbformat_minor": 2
-}