diff --git a/.gitignore b/.gitignore
index f598d51..e07c3f1 100644
--- a/.gitignore
+++ b/.gitignore
@@ -4,4 +4,5 @@ build/
 *.egg-info/
 tmp*
 notebooks/re/tmp*
+notebooks/tmp*
 profiling/profile.json
\ No newline at end of file
diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index 3ce6075..ac7710d 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -2,7 +2,7 @@ fail_fast: true
 
 repos:
   - repo: https://github.com/psf/black
-    rev: 25.11.0
+    rev: 26.1.0
     hooks:
       - id: black
         language_version: python3.12
diff --git a/notebooks/compiler_demo.ipynb b/notebooks/compiler_demo.ipynb
new file mode 100644
index 0000000..fb019b1
--- /dev/null
+++ b/notebooks/compiler_demo.ipynb
@@ -0,0 +1,17799 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "a3a2fe5f",
+   "metadata": {},
+   "source": [
+    "## Quantum Compiler\n",
+    "\n",
+    "*Dmytro Fedoriaka, January 2026*\n",
+    "\n",
+    "### Problem statement\n",
+    "\n",
+    "Given mathematical expression (consisting of variables, real-valued literals and\n",
+    "functions), build quantum circuit computing this expression.\n",
+    "\n",
+    "For each variable in expression you are told which QFixed register holds value of this variable.\n",
+    "After you have built a circuit, you need to tell in which register ths answer is located.\n",
+    "\n",
+    "### API\n",
+    "\n",
+    "Create Qubrick called EvaluateExpression that takes expression to evaluate as string in constructor.\n",
+    "Pass name-to-expression map in `compute`. Can pass QFixed registers or literals.\n",
+    "\n",
+    "```\n",
+    "compiler = EvaluateExpression(\"x*x + z*y\", qc=qpu)\n",
+    "compiler.compute({\"x\": qs_x, \"y\": qs_y, \"z\": 5})\n",
+    "```\n",
+    "\n",
+    "### High-level design\n",
+    "\n",
+    "* Parse expresison using `ast.parse` from Python standard library.\n",
+    "* Optimize expression. Rules that transform AST. We could define our own AST model, \n",
+    "  but I think using Python's modle is fine.\n",
+    "* Build circuit butom-up: \n",
+    "  * Traverse AST using DFS.   \n",
+    "  * For every node, produce `QValue = QFixed | float` that is literal or register with result of computing that node.\n",
+    "  * For variables, do lookup.\n",
+    "  * For literals, return them.\n",
+    "  * For ops/function, call correspodning Qubrick.\n",
+    "  * If funcion is out-of-place, allocate register before calling function.\n",
+    "  * If function is in-place but we cannot modify args, allocate register, copy one arg there and call the function.\n",
+    "  * Otherwise if it's in-place function, just call corresponding Qubrick without allocations.\n",
+    "\n",
+    "### Demo\n",
+    "\n",
+    "Currently implemented prototype in [evaluate.py](../qmath/compile/evaluate.py) supports\n",
+    "addition, subtraction and multiplication and doesn't have optimizers.\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "id": "22bb42be",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Result: 140.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "from psiqworkbench import QPU, QFixed\n",
+    "from psiqworkbench.filter_presets import BIT_DEFAULT\n",
+    "\n",
+    "from qmath.compile import EvaluateExpression\n",
+    "\n",
+    "qpu = QPU(filters=BIT_DEFAULT)\n",
+    "qpu.reset(150)\n",
+    "qs_x = QFixed(20, name=\"x\", radix=5, qpu=qpu)\n",
+    "qs_y = QFixed(20, name=\"y\", radix=5, qpu=qpu) \n",
+    "x, y = -10, 8\n",
+    "qs_x.write(x)\n",
+    "qs_y.write(y) \n",
+    "\n",
+    "compiler = EvaluateExpression(\"x*x + z*y\", qc=qpu)\n",
+    "compiler.compute({\"x\": qs_x, \"y\": qs_y, \"z\": 5})\n",
+    "ans = compiler.get_result_qreg()\n",
+    "print(\"Result:\", ans.read())\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "id": "18dab8b8",
+   "metadata": {},
+   "outputs": [
+    {
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+       "<path d=\"M48290.0,790.0Q48280 790.0 48280 800.0L48280,800.0L48280,1680.0Q48280 1690.0 48290.0 1690.0\" fill=\"none\" stroke=\"rgba(0, 100, 125, 1.0)\" stroke-width=\"1\" stroke-opacity=\"1.0\" stroke-dasharray=\"4\"/>\n",
+       "<text x=\"-1239.999999999997\" y=\"48285.0\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"middle\" stroke=\"none\" fill=\"#888\" fill-opacity=\"1.0\" font-size=\"7\" transform=\"rotate(-90)\"><title>full_dest (QUFixed) (QFixed)</title>full_dest (QUFixed) (QFixed)</text><path d=\"M48292.0,1600a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
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+       "<path d=\"M48292.0,1660a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M48292.0,1660a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
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+       "<path d=\"M48292.0,1680a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M48292.0,1680a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M48292.0,1680L48308.0,1680M48300,1672.0L48300,1688.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M48310.0,1730.0Q48300 1730.0 48300 1740.0L48300,1740.0L48300,1760.0Q48300 1770.0 48310.0 1770.0\" fill=\"none\" stroke=\"rgba(0, 100, 125, 1.0)\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<text x=\"-1749.999999999997\" y=\"48305.0\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"middle\" stroke=\"none\" fill=\"#888\" fill-opacity=\"1.0\" font-size=\"7\" transform=\"rotate(-90)\"><title>qbk_madd_sign</title>qbk_madd_sign</text><path d=\"M48320,380L48320,1740\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M48317.0,380a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
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+       "<path d=\"M57277.0,380a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
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+      ]
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+     "metadata": {},
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+    }
+   ],
+   "source": [
+    "qpu.draw()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "33731d00",
+   "metadata": {},
+   "source": [
+    "### Mutable/immutable inputs.\n",
+    "\n",
+    "By default all input variables are immutable - circuit will not change their value.\n",
+    "But if you pass variable name in `mutable_vars`, you will allow compiler\n",
+    "to mutate value and maybe use input as output.\n",
+    "\n",
+    "Example below shows 2 circuits for the same expression x+y, where in first case\n",
+    "we make a copy of x and add y to it, while in second case we comput the sum in place.\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "id": "0aebd537",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
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+       "<path d=\"M10.0,-10.0Q0 -10.0 0 0.0L0,0.0L0,40.0Q0 50.0 10.0 50.0\" fill=\"none\" stroke=\"rgba(0, 100, 125, 1.0)\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<text x=\"-20.0\" y=\"5.000000000000001\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"middle\" stroke=\"none\" fill=\"#888\" fill-opacity=\"1.0\" font-size=\"7\" transform=\"rotate(-90)\"><title>x (QFixed)</title>x (QFixed)</text><path d=\"M10.0,50.0Q0 50.0 0 60.0L0,60.0L0,100.0Q0 110.0 10.0 110.0\" fill=\"none\" stroke=\"rgba(0, 100, 125, 1.0)\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<text x=\"-80.0\" y=\"5.000000000000005\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"middle\" stroke=\"none\" fill=\"#888\" fill-opacity=\"1.0\" font-size=\"7\" transform=\"rotate(-90)\"><title>y (QFixed)</title>y (QFixed)</text><path d=\"M10.0,110.0Q0 110.0 0 120.0L0,120.0L0,160.0Q0 170.0 10.0 170.0\" fill=\"none\" stroke=\"rgba(0, 100, 125, 1.0)\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<text x=\"-140.0\" y=\"5.000000000000009\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"middle\" stroke=\"none\" fill=\"#888\" fill-opacity=\"1.0\" font-size=\"7\" transform=\"rotate(-90)\"><title>x_clone</title>x_clone</text><path d=\"M30.0,110.0Q20 110.0 20 120.0L20,120.0L20,160.0Q20 170.0 30.0 170.0\" fill=\"none\" stroke=\"rgba(0, 100, 125, 1.0)\" stroke-width=\"1\" stroke-opacity=\"1.0\" stroke-dasharray=\"4\"/>\n",
+       "<text x=\"-140.0\" y=\"25.000000000000007\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"middle\" stroke=\"none\" fill=\"#888\" fill-opacity=\"1.0\" font-size=\"7\" transform=\"rotate(-90)\"><title>x_clone (QFixed)</title>x_clone (QFixed)</text><path d=\"M40,0L40,120\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M37.0,0a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M32.0,120a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M32.0,120a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M32.0,120L48.0,120M40,112.0L40,128.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M60,20L60,140\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M57.0,20a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M52.0,140a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M52.0,140a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M52.0,140L68.0,140M60,132.0L60,148.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M80,40L80,160\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M77.0,40a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M72.0,160a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M72.0,160a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M72.0,160L88.0,160M80,152.0L80,168.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M90.0,170.0Q80 170.0 80 180.0L80,180.0L80,200.0Q80 210.0 90.0 210.0\" fill=\"none\" stroke=\"rgba(0, 100, 125, 1.0)\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<text x=\"-190.0\" y=\"85.00000000000001\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"middle\" stroke=\"none\" fill=\"#888\" fill-opacity=\"1.0\" font-size=\"7\" transform=\"rotate(-90)\"><title>qbk_qadd_anc</title>qbk_qadd_anc</text><path d=\"M100,60L100,180\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M97.0,60a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M97.0,120a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M120,80L120,180\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M117.0,180a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M112.0,80a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M112.0,80a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M112.0,80L128.0,80M120,72.0L120,88.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M112.0,140a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M112.0,140a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M112.0,140L128.0,140M120,132.0L120,148.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M140,80L140,200\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M137.0,80a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M137.0,140a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M160,180L160,200\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M157.0,180a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M152.0,200a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M152.0,200a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M152.0,200L168.0,200M160,192.0L160,208.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M180,160L180,200\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M177.0,200a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M172.0,160a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M172.0,160a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M172.0,160L188.0,160M180,152.0L180,168.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M200,180L200,200\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M197.0,180a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M192.0,200a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M192.0,200a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M192.0,200L208.0,200M200,192.0L200,208.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M220,80L220,200\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M217.0,80a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M217.0,140a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M240,80L240,180\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M237.0,180a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M232.0,80a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M232.0,80a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M232.0,80L248.0,80M240,72.0L240,88.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M260,80L260,140\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M257.0,80a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M252.0,140a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M252.0,140a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M252.0,140L268.0,140M260,132.0L260,148.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M280,60L280,180\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M277.0,60a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M277.0,120a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M300,60L300,120\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M297.0,60a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M292.0,120a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M292.0,120a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M292.0,120L308.0,120M300,112.0L300,128.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M290.0,170.0Q300.0 170.0 300.0 180.0L300.0,180.0L300.0,200.0Q300.0 210.0 290.0 210.0\" fill=\"none\" stroke=\"rgba(0, 100, 125, 1.0)\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<text x=\"-189.99999999999997\" y=\"295.0\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"middle\" stroke=\"none\" fill=\"#888\" fill-opacity=\"1.0\" font-size=\"7\" transform=\"rotate(-90)\"><title>qbk_qadd_anc</title>qbk_qadd_anc</text><path d=\"M320,100L320,160\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M317.0,100a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M312.0,160a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M312.0,160a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M312.0,160L328.0,160M320,152.0L320,168.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "</g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       "<IPython.core.display.SVG object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "qpu = QPU(filters=BIT_DEFAULT)\n",
+    "qpu.reset(11)\n",
+    "qs_x = QFixed(3, name=\"x\", radix=0, qpu=qpu)\n",
+    "qs_y = QFixed(3, name=\"y\", radix=0, qpu=qpu) \n",
+    "compiler = EvaluateExpression(\"x+y\", qc=qpu).compute({\"x\": qs_x, \"y\": qs_y})\n",
+    "qpu.draw()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "id": "d5f77f44",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/svg+xml": [
+       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" viewBox=\"-146.0 -30.0 414.0 210.0\">\n",
+       "<style>\n",
+       ".hover_modes_0:hover\n",
+       "{\n",
+       "    stroke-opacity: 0.6\n",
+       "}\n",
+       ".no_mouse_events\n",
+       "{\n",
+       "    pointer-events: none\n",
+       "}\n",
+       ".hover_labels_0:hover\n",
+       "{\n",
+       "    fill-opacity: 1.0\n",
+       "}\n",
+       ".no_mouse_events\n",
+       "{\n",
+       "    pointer-events: none\n",
+       "}\n",
+       "</style>\n",
+       "<g>\n",
+       "  <path d=\"M-146.0,-30.0H268.0V180.0H-146.0Z\" fill=\"white\" stroke=\"#000\" stroke-width=\"0.025\"/>\n",
+       "<text x=\"-54.0\" y=\"20.0\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"end\" stroke=\"none\" fill=\"#000\" fill-opacity=\"1.0\" font-size=\"14\"><title>x</title>x</text><path d=\"M-39.0,-10.0Q-49.0 -10.0 -49.0 0.0L-49.0,0.0L-49.0,40.0Q-49.0 50.0 -39.0 50.0\" fill=\"none\" stroke=\"rgba(0, 100, 125, 1.0)\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<text x=\"-20\" y=\"0\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"end\" stroke=\"none\" fill=\"#000\" fill-opacity=\"1.0\" font-size=\"14\"><title>0x1</title>0x1</text><text x=\"-20\" y=\"20\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"end\" stroke=\"none\" fill=\"#000\" fill-opacity=\"1.0\" font-size=\"14\"><title>0x2</title>0x2</text><text x=\"-20\" y=\"40\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"end\" stroke=\"none\" fill=\"#000\" fill-opacity=\"1.0\" font-size=\"14\"><title>0x4</title>0x4</text><text x=\"-54.0\" y=\"80.0\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"end\" stroke=\"none\" fill=\"#000\" fill-opacity=\"1.0\" font-size=\"14\"><title>y</title>y</text><path d=\"M-39.0,50.0Q-49.0 50.0 -49.0 60.0L-49.0,60.0L-49.0,100.0Q-49.0 110.0 -39.0 110.0\" fill=\"none\" stroke=\"rgba(0, 100, 125, 1.0)\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<text x=\"-20\" y=\"60\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"end\" stroke=\"none\" fill=\"#000\" fill-opacity=\"1.0\" font-size=\"14\"><title>0x1</title>0x1</text><text x=\"-20\" y=\"80\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"end\" stroke=\"none\" fill=\"#000\" fill-opacity=\"1.0\" font-size=\"14\"><title>0x2</title>0x2</text><text x=\"-20\" y=\"100\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"end\" stroke=\"none\" fill=\"#000\" fill-opacity=\"1.0\" font-size=\"14\"><title>0x4</title>0x4</text><text x=\"-54.0\" y=\"130.0\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"end\" stroke=\"none\" fill=\"#000\" fill-opacity=\"1.0\" font-size=\"14\"><title>qbk_qadd_anc</title>qbk_qadd_anc</text><path d=\"M-39.0,110.0Q-49.0 110.0 -49.0 120.0L-49.0,120.0L-49.0,140.0Q-49.0 150.0 -39.0 150.0\" fill=\"none\" stroke=\"rgba(0, 100, 125, 1.0)\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<text x=\"-20\" y=\"120\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"end\" stroke=\"none\" fill=\"#000\" fill-opacity=\"1.0\" font-size=\"14\"><title>0x1</title>0x1</text><text x=\"-20\" y=\"140\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"end\" stroke=\"none\" fill=\"#000\" fill-opacity=\"1.0\" font-size=\"14\"><title>0x2</title>0x2</text><path d=\"M-10.0,0L220,0\" fill=\"none\" stroke=\"#dddddd\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M220,0L240,0\" fill=\"none\" stroke=\"#000000\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M-10.0,20L40,20\" fill=\"none\" stroke=\"#dddddd\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M40,20L240,20\" fill=\"none\" stroke=\"#000000\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M-10.0,40L100,40\" fill=\"none\" stroke=\"#dddddd\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M100,40L240,40\" fill=\"none\" stroke=\"#000000\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
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+       "<path d=\"M140,140L240,140\" fill=\"none\" stroke=\"#dddddd\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
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+       "<text x=\"-80.0\" y=\"5.000000000000005\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"middle\" stroke=\"none\" fill=\"#888\" fill-opacity=\"1.0\" font-size=\"7\" transform=\"rotate(-90)\"><title>y (QFixed)</title>y (QFixed)</text><path d=\"M10.0,110.0Q0 110.0 0 120.0L0,120.0L0,140.0Q0 150.0 10.0 150.0\" fill=\"none\" stroke=\"rgba(0, 100, 125, 1.0)\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<text x=\"-130.0\" y=\"5.000000000000008\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"middle\" stroke=\"none\" fill=\"#888\" fill-opacity=\"1.0\" font-size=\"7\" transform=\"rotate(-90)\"><title>qbk_qadd_anc</title>qbk_qadd_anc</text><path d=\"M20,0L20,120\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
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+       "<path d=\"M72.0,140a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
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+       "<path d=\"M92.0,40a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
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+       "<path d=\"M112.0,140a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
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+       "<path d=\"M137.0,80a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
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+       "<path d=\"M152.0,80a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
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+       "<path d=\"M172.0,20a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M172.0,20a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M172.0,20L188.0,20M180,12.0L180,28.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
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+       "<path d=\"M197.0,60a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M220,0L220,60\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M217.0,60a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M212.0,0a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M212.0,0a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M212.0,0L228.0,0M220,-8.0L220,8.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M210.0,110.0Q220.0 110.0 220.0 120.0L220.0,120.0L220.0,140.0Q220.0 150.0 210.0 150.0\" fill=\"none\" stroke=\"rgba(0, 100, 125, 1.0)\" stroke-width=\"1\" stroke-opacity=\"1.0\"/>\n",
+       "<text x=\"-130.0\" y=\"215.0\" font-style=\"normal\" font-weight=\"normal\" font-family=\"Tahoma\" alignment-baseline=\"middle\" text-anchor=\"middle\" stroke=\"none\" fill=\"#888\" fill-opacity=\"1.0\" font-size=\"7\" transform=\"rotate(-90)\"><title>qbk_qadd_anc</title>qbk_qadd_anc</text><path d=\"M240,40L240,100\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M237.0,100a3.0,3.0 0 1,0  6.0,0a3.0,3.0 0 1,0 -6.0,0Z\" fill=\"black\" stroke=\"none\" stroke-width=\"1.5\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M232.0,40a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"white\" stroke=\"none\" stroke-width=\"2\" fill-opacity=\"1.0\"/>\n",
+       "<path d=\"M232.0,40a8.0,8.0 0 1,0  16.0,0a8.0,8.0 0 1,0 -16.0,0Z\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "<path d=\"M232.0,40L248.0,40M240,32.0L240,48.0\" fill=\"none\" stroke=\"black\" stroke-width=\"2\" stroke-opacity=\"1.0\"/>\n",
+       "</g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       "<IPython.core.display.SVG object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "qpu = QPU(filters=BIT_DEFAULT)\n",
+    "qpu.reset(8)\n",
+    "qs_x = QFixed(3, name=\"x\", radix=0, qpu=qpu)\n",
+    "qs_y = QFixed(3, name=\"y\", radix=0, qpu=qpu) \n",
+    "compiler = EvaluateExpression(\"x+y\", mutable_vars=[\"x\"], qc=qpu).compute({\"x\": qs_x, \"y\": qs_y})\n",
+    "qpu.draw()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "47ca501e",
+   "metadata": {},
+   "source": [
+    "\n",
+    "### Further work\n",
+    "\n",
+    "* **Add more functions**.\n",
+    "  * Quantum-constant division - reduce to multiplication.\n",
+    "  * Constant-quantum division - reduce to inverse+multiplication, or to quantum-quantum division (which is better?).\n",
+    "  * Quantum-Quantum division - extend integer alorithms.\n",
+    "  * Integer power - handle at optimizer level, use binary exponetiation and Square function.\n",
+    "  * Trigonometry, logarithms, exponent etc. - need to implement the functions first + build framework for accuracy propagation.\n",
+    "  * Maybe integrate piecewise polynomial approximation, but then it will work only on fixed interval.\n",
+    "\n",
+    "* **Implement optimizer**. Implement rule-based optimizer that would transform AST\n",
+    "by matching patterns and replacing them with other patterns. Some rules can be \n",
+    "bottom-up simngle pass, some will be fixed point (e.g. Horner Scheme).\n",
+    "\n",
+    "* **Implement optimizer rules**. Below are some ideas\n",
+    "  * Common subexpressions. E.g. if expression (2*x+y) appears 2+ times,\n",
+    "      allocate temporary register t, compute t:=2*x+y, and replace 2*x+y with t \n",
+    "      in AST. For this we will have to extend AST to have \"Assignment\" node. \n",
+    "  * Constant folding.\n",
+    "  * Binary exponentiation, e.g. x**4 -> Square(Square(x)).\n",
+    "  * Horner scheme optimizer, e.g. a*x^3 + b *x^2 + x* c -> x * (a*x ^2 + b*x + c).\n",
+    "\n",
+    "* **Accuracy**. You give desired accuracy of the answer, and compiler automaticlaly computes\n",
+    "size of intermediary registers and answer to achieve this accuracy. It is possible that we would need higher radix\n",
+    "in intermediary computations to achieve desired accuracy.\n",
+    "Doing this right will be quite hard. We will have to propagate error stop-down from root to nodes, and for each\n",
+    "function we will have a formula - if this is required accuracy of output, what is required accuracy of input.\n",
+    "This will be used to compute size and radix for intermediary allocated regsiters."
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "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": "3.12.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/pyproject.toml b/pyproject.toml
index 26df685..474eb37 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -27,7 +27,7 @@ dependencies = [
 dev = [
     "pytest",
     "pre-commit>=3.0.0",
-    "black>=23.7.0",
+    "black==26.1.0",
     "py-spy",
 ]
 
diff --git a/qmath/compile/__init__.py b/qmath/compile/__init__.py
new file mode 100644
index 0000000..a2a38fa
--- /dev/null
+++ b/qmath/compile/__init__.py
@@ -0,0 +1 @@
+from .evaluate import EvaluateExpression
diff --git a/qmath/compile/evaluate.py b/qmath/compile/evaluate.py
new file mode 100644
index 0000000..eed940f
--- /dev/null
+++ b/qmath/compile/evaluate.py
@@ -0,0 +1,158 @@
+import ast
+
+from psiqworkbench import QPU, QUInt, QFixed, Qubrick
+from psiqworkbench.filter_presets import BIT_DEFAULT
+
+from qmath.utils.symbolic import alloc_temp_qreg_like
+from qmath.func.common import MultiplyAdd, MultiplyConstAdd, Add, AddConst, Negate
+from qmath.func.square import Square
+
+from qmath.utils.gates import ParallelCnot
+
+# Type alias to represent quantum register or a literal number.
+QValue = QFixed | float
+
+
+# Ensures that x is of type QValue.
+def _make_qvalue(x) -> QValue:
+    if isinstance(x, QFixed):
+        return x
+    if isinstance(x, int) or isinstance(x, float):
+        return float(x)
+    raise ValueError("Unsupported type", type(x))
+
+
+ops = []
+
+
+class EvaluateExpression(Qubrick):
+    """Evaluates arithmetic expression."""
+
+    def __init__(self, expr: str, mutable_vars: set[str] = None, **kwargs):
+        super().__init__(**kwargs)
+        self.expr = expr
+        self.vars = dict()
+        self.immutable_regs = set()
+        self.mutable_vars = mutable_vars or set()
+
+    def _make_copy(self, x: QFixed) -> QFixed:
+        _, ans = alloc_temp_qreg_like(self, x)
+        ParallelCnot().compute(x, ans)
+        return ans
+
+    def _implement_unary_op(self, op: ast.BinOp, arg: QValue) -> QValue:
+        if isinstance(op, ast.USub):
+            return self._negate(arg)
+        raise ValueError(f"Unsupported unary op: {op}.")
+
+    def _implement_binary_op(self, op: ast.BinOp, arg1: QValue, arg2: QValue) -> QValue:
+        if isinstance(op, ast.Add):
+            return self._add(arg1, arg2)
+        if isinstance(op, ast.Sub):
+            return self._sub(arg1, arg2)
+        if isinstance(op, ast.Mult):
+            return self._mul(arg1, arg2)
+        raise ValueError(f"Unsupported binary op: {op}.")
+
+    def _negate(self, arg: QValue) -> QValue:
+        if isinstance(arg, float):
+            return -arg
+        assert isinstance(arg, QFixed)
+        if arg.mask() in self.immutable_regs:
+            return self._negate(self._make_copy(arg))
+        Negate().compute(arg)
+        return arg
+
+    def _add(self, arg1: QValue, arg2: QValue) -> QValue:
+        if isinstance(arg1, float) and isinstance(arg2, float):
+            return arg1 + arg2
+        if isinstance(arg1, float):
+            return self._add(arg2, arg1)
+
+        assert isinstance(arg1, QFixed)
+
+        if isinstance(arg2, QFixed):
+            # Quantum-quantum addition.
+            if arg1.mask() in self.immutable_regs and arg2.mask() in self.immutable_regs:
+                return self._add(self._make_copy(arg1), arg2)
+            if arg1.mask() in self.immutable_regs:
+                return self._add(arg2, arg1)
+            Add().compute(arg1, arg2)
+            return arg1
+        else:
+            assert isinstance(arg2, float)
+            if arg1.mask() in self.immutable_regs:
+                return self._add(self._make_copy(arg1), arg2)
+            AddConst(arg2).compute(arg1)
+            return arg1
+
+    def _sub(self, arg1: QValue, arg2: QValue) -> QValue:
+        if isinstance(arg1, float):
+            return self._add(-arg1, arg2)
+        if isinstance(arg2, float):
+            return self._add(arg1, -arg2)
+
+        assert isinstance(arg1, QFixed)
+        assert isinstance(arg2, QFixed)
+
+        if arg1.mask() not in self.immutable_regs:
+            # arg1 -= arg2
+            with Negate().computed(arg1):
+                Add().compute(arg1, arg2)
+            return arg1
+        elif arg2.mask() not in self.immutable_regs:
+            # arg2 := -arg2
+            # arg2 += arg1
+            Negate().compute(arg2)
+            Add().compute(arg2, arg1)
+            return arg2
+        else:
+            # Both immutable. Allocate answer.
+            return self._negate(arg1, self._make_copy(arg2))
+
+    def _mul(self, arg1: QValue, arg2: QValue) -> QValue:
+        if isinstance(arg1, float) and isinstance(arg2, float):
+            return arg1 * arg2
+        if isinstance(arg1, float):
+            return self._mul(arg2, arg1)
+
+        assert isinstance(arg1, QFixed)
+        _, ans = alloc_temp_qreg_like(self, arg1)
+
+        if isinstance(arg2, QFixed):
+            if arg1.mask() == arg2.mask():
+                Square().compute(arg1, ans)
+                return ans
+            MultiplyAdd().compute(ans, arg1, arg2)
+        else:
+            assert isinstance(arg2, float)
+            MultiplyConstAdd(arg2).compute(ans, arg1)
+        return ans
+
+    def _convert_ast_node(self, node) -> QFixed | float:
+        if isinstance(node, ast.BinOp):
+            arg1 = self._convert_ast_node(node.left)
+            arg2 = self._convert_ast_node(node.right)
+            return self._implement_binary_op(node.op, arg1, arg2)
+        elif isinstance(node, ast.UnaryOp):
+            arg = self._convert_ast_node(node.operand)
+            return self._implement_unary_op(node.op, arg)
+        elif isinstance(node, ast.Name):
+            assert node.id in self.vars
+            return self.vars[node.id]
+        elif isinstance(node, ast.Constant):
+            return _make_qvalue(node.value)
+        else:
+            raise ValueError(f"Cannot handle: {node}")
+
+    def _compute(self, args: dict):
+        self.vars = dict()
+        for key, value in args.items():
+            value = _make_qvalue(value)
+            self.vars[key] = value
+            if key not in self.mutable_vars and isinstance(value, QFixed):
+                self.immutable_regs.add(value.mask())
+
+        root = ast.parse(self.expr, mode="eval")
+        ans = self._convert_ast_node(root.body)
+        self.set_result_qreg(ans)
diff --git a/qmath/compile/evaluate_test.py b/qmath/compile/evaluate_test.py
new file mode 100644
index 0000000..7872561
--- /dev/null
+++ b/qmath/compile/evaluate_test.py
@@ -0,0 +1,111 @@
+import os
+from dataclasses import dataclass
+from typing import Callable
+import pytest
+
+from psiqworkbench import QPU, QFixed
+from psiqworkbench.filter_presets import BIT_DEFAULT
+
+from qmath.compile import EvaluateExpression
+from qmath.utils.test_utils import QPUTestHelper
+
+RUN_SLOW_TESTS = os.getenv("RUN_SLOW_TESTS") == "1"
+
+
+@dataclass
+class EvaluateTestCase:
+    expr: str
+    args: list[str]
+    func: Callable[..., float]
+    inputs: list[list[float]]
+    num_qubits: int
+    qubits_per_reg: int = 8
+    radix: int = 1
+
+
+def _test_evaluate(tc: EvaluateTestCase):
+    qpu_helper = QPUTestHelper(
+        num_inputs=len(tc.args),
+        num_qubits=tc.num_qubits,
+        qubits_per_reg=tc.qubits_per_reg,
+        radix=tc.radix,
+    )
+    v = {tc.args[i]: qpu_helper.inputs[i] for i in range(len(tc.args))}
+    op = EvaluateExpression(tc.expr, qc=qpu_helper.qpu)
+    op.compute(v)
+    qpu_helper.record_op(op.get_result_qreg())
+
+    for args in tc.inputs:
+        assert qpu_helper.apply_op(args) == tc.func(*args)
+
+
+# Use this test case for debugging. It does not use any helpers.
+@pytest.mark.skipif(not RUN_SLOW_TESTS, reason="slow test")
+def test_debug():
+    qpu = QPU(filters=BIT_DEFAULT)
+    qpu.reset(1000)
+    qs_x = QFixed(20, name="x", radix=5, qpu=qpu)
+    qs_y = QFixed(20, name="y", radix=5, qpu=qpu)
+    qs_z = QFixed(20, name="z", radix=5, qpu=qpu)
+    x, y, z = -10, 0, 5
+    qs_x.write(x)
+    qs_y.write(y)
+    qs_z.write(z)
+
+    expected = -x + 2 * (y + 3 * z - x * x) + x * y + x * y * z - z * x
+    compiler = EvaluateExpression("-x + 2*(y + 3*z - x*x) + x*y + x*y*z - z*x", qc=qpu)
+    compiler.compute({"x": qs_x, "y": qs_y, "z": qs_z})
+    ans = compiler.get_result_qreg()
+
+    assert ans.read() == expected
+
+
+def test_add():
+    _test_evaluate(
+        EvaluateTestCase(
+            expr="x+y+z",
+            args=["x", "y", "z"],
+            func=lambda x, y, z: x + y + z,
+            inputs=[[1, 2, -1], [-3.5, 4, 0]],
+            num_qubits=50,
+        )
+    )
+
+
+def test_multiply():
+    _test_evaluate(
+        EvaluateTestCase(
+            expr="x*y",
+            args=["x", "y"],
+            func=lambda x, y: x * y,
+            inputs=[[3, 2], [-3.5, 4]],
+            num_qubits=100,
+        )
+    )
+
+
+def test_multiply_const():
+    _test_evaluate(
+        EvaluateTestCase(
+            expr="x*2.5",
+            args=["x"],
+            func=lambda x: x * 2.5,
+            inputs=[[-1], [0], [2], [4]],
+            num_qubits=100,
+        )
+    )
+
+
+@pytest.mark.skipif(not RUN_SLOW_TESTS, reason="slow test")
+def test_complex_expression():
+    _test_evaluate(
+        EvaluateTestCase(
+            expr="-x + 2*(y + 3*z - x*x) + x*y + x*y*z - z*x",
+            args=["x", "y", "z"],
+            func=lambda x, y, z: -x + 2 * (y + 3 * z - x * x) + x * y + x * y * z - z * x,
+            inputs=[[1, 2.0, -3], [4.125, 5, 6.5], [-10, 0, 5]],
+            num_qubits=300,
+            qubits_per_reg=20,
+            radix=10,
+        )
+    )
diff --git a/qmath/compile/optimizers.py b/qmath/compile/optimizers.py
new file mode 100644
index 0000000..e69de29
diff --git a/qmath/func/common.py b/qmath/func/common.py
index eedd3ff..c21d0bb 100644
--- a/qmath/func/common.py
+++ b/qmath/func/common.py
@@ -138,7 +138,17 @@ def _estimate(self, dst: SymbolicQFixed, lhs: SymbolicQFixed, rhs: SymbolicQFixe
         self.get_qc().add_cost_event(cost)
 
 
-# TODO: implement.
+# Preparation for MultiplyConstAdd to handle negative inputs.
+class _MulConstPrep(Qubrick):
+
+    def _compute(self, x: QFixed, x_sign: Qubits, y: float, dst: QFixed):
+        x_sign[0].lelbow(x[-1])
+        Negate().compute(x, ctrl=x_sign)
+        if y < 0:
+            x_sign.x()
+        dst.x(x_sign)
+
+
 class MultiplyConstAdd(Qubrick):
     """Computes dst += lhs * rhs (rhs is a classical number)."""
 
@@ -146,8 +156,35 @@ def __init__(self, rhs: float, **kwargs):
         super().__init__(**kwargs)
         self.rhs = rhs
 
+    # z += y*x, assuming x>=0, y>0.
+    def _compute_positive(self, x: QFixed, y: float, z: QFixed):
+        assert y > 0
+        x = QInt(x)
+        z = QInt(z)
+        min_i = x.radix - z.radix - (x.num_qubits - 1)
+        max_i = x.radix - z.radix + (z.num_qubits - 1)
+
+        for i in range(min_i, max_i + 1):
+            shift = z.radix - x.radix + i
+            bit = int(y * (2 ** (-shift))) % 2
+            if bit == 1:
+                if shift < 0:
+                    qbk.GidneyAdd().compute(z, x[(-shift):])
+                else:
+                    qbk.GidneyAdd().compute(z[shift:], x)
+
     def _compute(self, dst: QFixed, lhs: QFixed):
-        pass
+        if self.rhs == 0:
+            return
+
+        x_sign = self.alloc_temp_qreg(1, "x_sign")
+
+        # Preparation to handle negative inputs.
+        with _MulConstPrep().computed(lhs, x_sign, self.rhs, dst):
+            self._compute_positive(lhs, abs(self.rhs), dst)
+
+        x_sign.release()
 
     def _estimate(self, dst: SymbolicQFixed, lhs: SymbolicQFixed):
+        # TODO: implement.
         pass
diff --git a/qmath/func/common_test.py b/qmath/func/common_test.py
index 94bd175..d7fcb6e 100644
--- a/qmath/func/common_test.py
+++ b/qmath/func/common_test.py
@@ -1,6 +1,6 @@
 import random
 
-from qmath.func.common import AbsInPlace, Subtract
+from qmath.func.common import AbsInPlace, Subtract, MultiplyConstAdd
 from qmath.utils.test_utils import QPUTestHelper
 
 
@@ -26,3 +26,16 @@ def test_subtract():
         result = qpu_helper.apply_op([x, y])
         expected = x - y
         assert abs(result - expected) < 1e-9
+
+
+def test_multiply_const_add():
+    for y in [-11.25, 0, 1.5, 10.3]:
+        qpu_helper = QPUTestHelper(num_inputs=2, num_qubits=200, qubits_per_reg=25, radix=15)
+        qs_x, qs_z = qpu_helper.inputs
+        MultiplyConstAdd(y).compute(qs_z, qs_x)
+        qpu_helper.record_op(qs_z)
+
+        for x in [-10, 5.5, 0, 10.125]:
+            result = qpu_helper.apply_op([x, 0])
+            expected = x * y
+            assert abs(result - expected) < 1e-4
diff --git a/qmath/func/fbe.py b/qmath/func/fbe.py
index 136d659..091efe4 100644
--- a/qmath/func/fbe.py
+++ b/qmath/func/fbe.py
@@ -79,3 +79,43 @@ def _compute(self, x: QFixed):
         t.release()
 
         self.set_result_qreg(a)
+
+    def _estimate(self, x: QFixed):
+        assert self.result_radix is not None
+
+        n = x.radix  # Input radix = number of iterations.
+        m = self.result_radix
+
+        ancs = self.alloc_temp_qreg(n * (m + 2), "ancs")
+        self.set_result_qreg(ancs[0 : m + 2])
+
+        # This is exactly correct when m%2==0.
+        elbows = 0.25 * n * m * m + 4.5 * n * m + 7 * n - 3.5 * m - 0.25 * m**2 - 6
+        cost = QubrickCosts(
+            gidney_lelbows=elbows,
+            gidney_relbows=elbows,
+            toffs=2 * n * m + 8 * n - m - 5,
+            local_ancillae=m + 10,
+            active_volume=18.75 * (n * m**2 - m**2) + 407 * n * m + 886 * n - 301.5 * m - 681,
+        )
+        self.get_qc().add_cost_event(cost)
+
+
+class SinFbe(Qubrick):
+    """Computes sin(pi*x)=cos(pi*(0.5-x))."""
+
+    def __init__(
+        self,
+        *,
+        result_radix: None | int = None,
+        **kwargs,
+    ):
+        super().__init__(**kwargs)
+        self.result_radix = result_radix
+
+    def _compute(self, x: QFixed):
+        Negate().compute(x)
+        AddConst(0.5).compute(x)
+        cos_op = CosFbe(result_radix=self.result_radix)
+        cos_op.compute(x)
+        self.set_result_qreg(cos_op.get_result_qreg())
diff --git a/qmath/func/fbe_re_test.py b/qmath/func/fbe_re_test.py
new file mode 100644
index 0000000..0686c87
--- /dev/null
+++ b/qmath/func/fbe_re_test.py
@@ -0,0 +1,44 @@
+import os
+
+from psiqworkbench import QPU, QFixed, SymbolicQPU, resource_estimator
+from psiqworkbench.resource_estimation.qre._resource_dict import ResourceDict
+from psiqworkbench.symbolics import Parameter
+
+from qmath.func.fbe import CosFbe
+from qmath.utils.re_utils import FILTERS_FOR_NUMERIC_RE, verify_re
+from qmath.utils.symbolic import SymbolicQFixed
+
+RUN_SLOW_TESTS = os.getenv("RUN_SLOW_TESTS") == "1"
+
+
+def re_symbolic_CosFbe() -> ResourceDict:
+    n = Parameter("n", "Input radix")
+    m = Parameter("m", "Result radix")
+    op = CosFbe(result_radix=m)
+
+    qpu = SymbolicQPU()
+    qs_x = SymbolicQFixed(num_qubits=n + 2, name="x", qpu=qpu, radix=n)
+    op.compute(qs_x)
+    return resource_estimator(qpu).resources()
+
+
+def re_numeric_CosFbe(assgn: dict[str, int]) -> ResourceDict:
+    """Numeric resource estimation for multiplier."""
+    n, m = assgn["n"], assgn["m"]
+    op = CosFbe(result_radix=m)
+
+    qpu = QPU(filters=FILTERS_FOR_NUMERIC_RE)
+    qpu.reset(n * m + 3 * n + m + 12)
+    qs_x = QFixed(n + 2, name="x", qpu=qpu, radix=n)
+    op.compute(qs_x)
+    return resource_estimator(qpu).resources()
+
+
+def test_re_CosFbe():
+    re_symbolic = re_symbolic_CosFbe()
+    re_numeric = re_numeric_CosFbe
+    test_cases = [(2, 2), (3, 4), (5, 8)]
+    if RUN_SLOW_TESTS:
+        test_cases += [(10, 10), (15, 10), (10, 16)]
+    for n, m in test_cases:
+        verify_re(re_symbolic, re_numeric, {"n": n, "m": m})
diff --git a/qmath/func/fbe_test.py b/qmath/func/fbe_test.py
index 03d8111..4e97f0a 100644
--- a/qmath/func/fbe_test.py
+++ b/qmath/func/fbe_test.py
@@ -1,4 +1,4 @@
-from qmath.func.fbe import CosFbe
+from qmath.func.fbe import CosFbe, SinFbe
 from qmath.utils.test_utils import QPUTestHelper
 
 import numpy as np
@@ -16,3 +16,17 @@ def test_cos():
         result = qpu_helper.apply_op([x])
         expected = np.cos(np.pi * x)
         assert abs(result - expected) < 1e-4
+
+
+def test_sin():
+    qpu_helper = QPUTestHelper(num_inputs=1, num_qubits=500, qubits_per_reg=7, radix=5)
+    qs_x = qpu_helper.inputs[0]
+    op = SinFbe(result_radix=28)
+    op.compute(qs_x)
+    result = op.get_result_qreg()
+    qpu_helper.record_op(op.get_result_qreg())
+
+    for x in np.linspace(-1, 1, 2**6 + 1):
+        result = qpu_helper.apply_op([x])
+        expected = np.sin(np.pi * x)
+        assert abs(result - expected) < 1e-4