prompt: We are currently solving the following issue within our repository. Here is the issue text:
  --- BEGIN ISSUE ---
  [cirq_web 3D circuit] X**0.5 and Y**0.5 look the same as X and Y
  **Description of the issue**
  
  The default look for `X**0.5` and `Y**0.5` look the same as `X` and `Y` in the 3D circuit.
  
  **How to reproduce the issue**
  
  ```
  import cirq_web
  a, b, c, d = cirq.GridQubit.rect(2, 2)
  cirq_web.Circuit3D(cirq.Circuit(cirq.X(a)**0.5, cirq.Y(b)**0.5, cirq.X(c), cirq.Y(d))).generate_html_file(
      file_name="hello.html")
  ```
  
  ![image](https://user-images.githubusercontent.com/635073/146627925-5158d61f-670b-41c7-a876-bfa41377fa0a.png)
  
  
  **Cirq version**
  You can get the cirq version by printing `cirq.__version__`. From the command line:
  
  0.13.1
  
  
  --- END ISSUE ---
  
  Below are some code segments, each from a relevant file. One or more of these files may contain bugs.
  --- BEGIN FILES ---
  Path: `cirq-web/cirq_web/circuits/symbols.py`
  Content:
  ```
  1 # Copyright 2021 The Cirq Developers
  2 #
  3 # Licensed under the Apache License, Version 2.0 (the "License");
  4 # you may not use this file except in compliance with the License.
  5 # You may obtain a copy of the License at
  6 #
  7 #     https://www.apache.org/licenses/LICENSE-2.0
  8 #
  9 # Unless required by applicable law or agreed to in writing, software
  10 # distributed under the License is distributed on an "AS IS" BASIS,
  11 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
  12 # See the License for the specific language governing permissions and
  13 # limitations under the License.
  14 
  15 # This is more of a placeholder for now, we can add
  16 # official color schemes in follow-ups.
  17 import abc
  18 import dataclasses
  19 from typing import Iterable, List, Optional
  20 import cirq
  21 
  22 
  23 @dataclasses.dataclass
  24 class SymbolInfo:
  25     """Organizes information about a symbol."""
  26 
  27     labels: List[str]
  28     colors: List[str]
  29 
  30     @staticmethod
  31     def unknown_operation(num_qubits: int) -> 'SymbolInfo':
  32         """Generates a SymbolInfo object for an unknown operation.
  33 
  34         Args:
  35             num_qubits: the number of qubits in the operation
  36         """
  37         symbol_info = SymbolInfo([], [])
  38         for _ in range(num_qubits):
  39             symbol_info.colors.append('gray')
  40             symbol_info.labels.append('?')
  41         return symbol_info
  42 
  43 
  44 class SymbolResolver(metaclass=abc.ABCMeta):
  45     """Abstract class providing the interface for users to specify information
  46     about how a particular symbol should be displayed in the 3D circuit
  47     """
  48 
  49     def __call__(self, operation: cirq.Operation) -> Optional[SymbolInfo]:
  50         return self.resolve(operation)
  51 
  52     @abc.abstractmethod
  53     def resolve(self, operation: cirq.Operation) -> Optional[SymbolInfo]:
  54         """Converts cirq.Operation objects into SymbolInfo objects for serialization."""
  55 
  56 
  57 class DefaultResolver(SymbolResolver):
  58     """Default symbol resolver implementation. Takes information
  59     from circuit_diagram_info, if unavailable, returns information representing
  60     an unknown symbol.
  61     """
  62 
  63     _SYMBOL_COLORS = {
  64         '@': 'black',
  65         'H': 'yellow',
  66         'I': 'orange',
  67         'X': 'black',
  68         'Y': 'pink',
  69         'Z': 'cyan',
  70         'S': '#90EE90',
  71         'T': '#CBC3E3',
  72     }
  73 
  74     def resolve(self, operation: cirq.Operation) -> Optional[SymbolInfo]:
  75         """Checks for the _circuit_diagram_info attribute of the operation,
  76         and if it exists, build the symbol information from it. Otherwise,
  77         builds symbol info for an unknown operation.
  78 
  79         Args:
  80             operation: the cirq.Operation object to resolve
  81         """
  82         try:
  83             wire_symbols = cirq.circuit_diagram_info(operation).wire_symbols
  84         except TypeError:
  85             return SymbolInfo.unknown_operation(cirq.num_qubits(operation))
  86 
  87         symbol_info = SymbolInfo(list(wire_symbols), [])
  88         for symbol in wire_symbols:
  89             symbol_info.colors.append(DefaultResolver._SYMBOL_COLORS.get(symbol, 'gray'))
  90 
  91         return symbol_info
  92 
  93 
  94 DEFAULT_SYMBOL_RESOLVERS: Iterable[SymbolResolver] = tuple([DefaultResolver()])
  95 
  96 
  97 def resolve_operation(operation: cirq.Operation, resolvers: Iterable[SymbolResolver]) -> SymbolInfo:
  98     """Builds a SymbolInfo object based off of a designated operation
  99     and list of resolvers. The latest resolver takes precendent.
  100 
  101     Args:
  102         operation: the cirq.Operation object to resolve
  103         resolvers: a list of SymbolResolvers which provides instructions
  104         on how to build SymbolInfo objects.
  105 
  106     Raises:
  107         ValueError: if the operation cannot be resolved into a symbol.
  108     """
  109     symbol_info = None
  110     for resolver in resolvers:
  111         info = resolver(operation)
  112         if info is not None:
  113             symbol_info = info
  114 
  115     if symbol_info is None:
  116         raise ValueError(f'Cannot resolve operation: {operation}')
  117     return symbol_info
  118 
  119 
  120 class Operation3DSymbol:
  121     def __init__(self, wire_symbols, location_info, color_info, moment):
  122         """Gathers symbol information from an operation and builds an
  123         object to represent it in 3D.
  124 
  125         Args:
  126             wire_symbols: a list of symbols taken from circuit_diagram_info()
  127             that will be used to represent the operation in the 3D circuit.
  128 
  129             location_info: A list of coordinates for each wire_symbol. The
  130             index of the coordinate tuple in the location_info list must
  131             correspond with the index of the symbol in the wire_symbols list.
  132 
  133             color_info: a list representing the desired color of the symbol(s).
  134             These will also correspond to index of the symbol in the
  135             wire_symbols list.
  136 
  137             moment: the moment where the symbol should be.
  138         """
  139         self.wire_symbols = wire_symbols
  140         self.location_info = location_info
  141         self.color_info = color_info
  142         self.moment = moment
  143 
  144     def to_typescript(self):
  145         return {
  146             'wire_symbols': list(self.wire_symbols),
  147             'location_info': self.location_info,
  148             'color_info': self.color_info,
  149             'moment': self.moment,
  150         }
  151
  ```
  --- END FILES ---
  
  Please first localize the bug based on the issue statement, and then generate a patch according to the `git diff` format fenced by three backticks.
  
  Here is an example:
  
  ```diff
  diff --git a/examples/server_async.py b/examples/server_async.py
  --- a/examples/server_async.py
  +++ b/examples/server_async.py
  @@ -313,4 +313,4 @@
   
   
   if __name__ == "__main__":
  -    asyncio.run(run_async_server("."), debug=True)
  +    asyncio.run(run_async_server(), debug=True)
  diff --git a/examples/server_sync.py b/examples/server_sync.py
  --- a/examples/server_sync.py
  +++ b/examples/server_sync.py
  @@ -313,5 +313,5 @@
   
   
   if __name__ == "__main__":
  -    server = run_sync_server(".")
  +    server = run_sync_server()
       server.shutdown()
  
  ```
  
golden_diff: diff --git a/cirq-web/cirq_web/circuits/symbols.py b/cirq-web/cirq_web/circuits/symbols.py
  --- a/cirq-web/cirq_web/circuits/symbols.py
  +++ b/cirq-web/cirq_web/circuits/symbols.py
  @@ -18,6 +18,7 @@
   import dataclasses
   from typing import Iterable, List, Optional
   import cirq
  +from cirq.protocols.circuit_diagram_info_protocol import CircuitDiagramInfoArgs
   
   
   @dataclasses.dataclass
  @@ -80,11 +81,15 @@
               operation: the cirq.Operation object to resolve
           """
           try:
  -            wire_symbols = cirq.circuit_diagram_info(operation).wire_symbols
  +            info = cirq.circuit_diagram_info(operation)
           except TypeError:
               return SymbolInfo.unknown_operation(cirq.num_qubits(operation))
   
  -        symbol_info = SymbolInfo(list(wire_symbols), [])
  +        wire_symbols = info.wire_symbols
  +        symbol_exponent = info._wire_symbols_including_formatted_exponent(
  +            CircuitDiagramInfoArgs.UNINFORMED_DEFAULT
  +        )
  +        symbol_info = SymbolInfo(list(symbol_exponent), [])
           for symbol in wire_symbols:
               symbol_info.colors.append(DefaultResolver._SYMBOL_COLORS.get(symbol, 'gray'))
  
verification_info: {"golden_diff": "diff --git a/cirq-web/cirq_web/circuits/symbols.py b/cirq-web/cirq_web/circuits/symbols.py\n--- a/cirq-web/cirq_web/circuits/symbols.py\n+++ b/cirq-web/cirq_web/circuits/symbols.py\n@@ -18,6 +18,7 @@\n import dataclasses\n from typing import Iterable, List, Optional\n import cirq\n+from cirq.protocols.circuit_diagram_info_protocol import CircuitDiagramInfoArgs\n \n \n @dataclasses.dataclass\n@@ -80,11 +81,15 @@\n             operation: the cirq.Operation object to resolve\n         \"\"\"\n         try:\n-            wire_symbols = cirq.circuit_diagram_info(operation).wire_symbols\n+            info = cirq.circuit_diagram_info(operation)\n         except TypeError:\n             return SymbolInfo.unknown_operation(cirq.num_qubits(operation))\n \n-        symbol_info = SymbolInfo(list(wire_symbols), [])\n+        wire_symbols = info.wire_symbols\n+        symbol_exponent = info._wire_symbols_including_formatted_exponent(\n+            CircuitDiagramInfoArgs.UNINFORMED_DEFAULT\n+        )\n+        symbol_info = SymbolInfo(list(symbol_exponent), [])\n         for symbol in wire_symbols:\n             symbol_info.colors.append(DefaultResolver._SYMBOL_COLORS.get(symbol, 'gray'))\n", "issue": "[cirq_web 3D circuit] X**0.5 and Y**0.5 look the same as X and Y\n**Description of the issue**\r\n\r\nThe default look for `X**0.5` and `Y**0.5` look the same as `X` and `Y` in the 3D circuit.\r\n\r\n**How to reproduce the issue**\r\n\r\n```\r\nimport cirq_web\r\na, b, c, d = cirq.GridQubit.rect(2, 2)\r\ncirq_web.Circuit3D(cirq.Circuit(cirq.X(a)**0.5, cirq.Y(b)**0.5, cirq.X(c), cirq.Y(d))).generate_html_file(\r\n    file_name=\"hello.html\")\r\n```\r\n\r\n![image](https://user-images.githubusercontent.com/635073/146627925-5158d61f-670b-41c7-a876-bfa41377fa0a.png)\r\n\r\n\r\n**Cirq version**\r\nYou can get the cirq version by printing `cirq.__version__`. From the command line:\r\n\r\n0.13.1\r\n\n", "before_files": [{"content": "# Copyright 2021 The Cirq Developers\n#\n# Licensed under the Apache License, Version 2.0 (the \"License\");\n# you may not use this file except in compliance with the License.\n# You may obtain a copy of the License at\n#\n#     https://www.apache.org/licenses/LICENSE-2.0\n#\n# Unless required by applicable law or agreed to in writing, software\n# distributed under the License is distributed on an \"AS IS\" BASIS,\n# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n# See the License for the specific language governing permissions and\n# limitations under the License.\n\n# This is more of a placeholder for now, we can add\n# official color schemes in follow-ups.\nimport abc\nimport dataclasses\nfrom typing import Iterable, List, Optional\nimport cirq\n\n\n@dataclasses.dataclass\nclass SymbolInfo:\n    \"\"\"Organizes information about a symbol.\"\"\"\n\n    labels: List[str]\n    colors: List[str]\n\n    @staticmethod\n    def unknown_operation(num_qubits: int) -> 'SymbolInfo':\n        \"\"\"Generates a SymbolInfo object for an unknown operation.\n\n        Args:\n            num_qubits: the number of qubits in the operation\n        \"\"\"\n        symbol_info = SymbolInfo([], [])\n        for _ in range(num_qubits):\n            symbol_info.colors.append('gray')\n            symbol_info.labels.append('?')\n        return symbol_info\n\n\nclass SymbolResolver(metaclass=abc.ABCMeta):\n    \"\"\"Abstract class providing the interface for users to specify information\n    about how a particular symbol should be displayed in the 3D circuit\n    \"\"\"\n\n    def __call__(self, operation: cirq.Operation) -> Optional[SymbolInfo]:\n        return self.resolve(operation)\n\n    @abc.abstractmethod\n    def resolve(self, operation: cirq.Operation) -> Optional[SymbolInfo]:\n        \"\"\"Converts cirq.Operation objects into SymbolInfo objects for serialization.\"\"\"\n\n\nclass DefaultResolver(SymbolResolver):\n    \"\"\"Default symbol resolver implementation. Takes information\n    from circuit_diagram_info, if unavailable, returns information representing\n    an unknown symbol.\n    \"\"\"\n\n    _SYMBOL_COLORS = {\n        '@': 'black',\n        'H': 'yellow',\n        'I': 'orange',\n        'X': 'black',\n        'Y': 'pink',\n        'Z': 'cyan',\n        'S': '#90EE90',\n        'T': '#CBC3E3',\n    }\n\n    def resolve(self, operation: cirq.Operation) -> Optional[SymbolInfo]:\n        \"\"\"Checks for the _circuit_diagram_info attribute of the operation,\n        and if it exists, build the symbol information from it. Otherwise,\n        builds symbol info for an unknown operation.\n\n        Args:\n            operation: the cirq.Operation object to resolve\n        \"\"\"\n        try:\n            wire_symbols = cirq.circuit_diagram_info(operation).wire_symbols\n        except TypeError:\n            return SymbolInfo.unknown_operation(cirq.num_qubits(operation))\n\n        symbol_info = SymbolInfo(list(wire_symbols), [])\n        for symbol in wire_symbols:\n            symbol_info.colors.append(DefaultResolver._SYMBOL_COLORS.get(symbol, 'gray'))\n\n        return symbol_info\n\n\nDEFAULT_SYMBOL_RESOLVERS: Iterable[SymbolResolver] = tuple([DefaultResolver()])\n\n\ndef resolve_operation(operation: cirq.Operation, resolvers: Iterable[SymbolResolver]) -> SymbolInfo:\n    \"\"\"Builds a SymbolInfo object based off of a designated operation\n    and list of resolvers. The latest resolver takes precendent.\n\n    Args:\n        operation: the cirq.Operation object to resolve\n        resolvers: a list of SymbolResolvers which provides instructions\n        on how to build SymbolInfo objects.\n\n    Raises:\n        ValueError: if the operation cannot be resolved into a symbol.\n    \"\"\"\n    symbol_info = None\n    for resolver in resolvers:\n        info = resolver(operation)\n        if info is not None:\n            symbol_info = info\n\n    if symbol_info is None:\n        raise ValueError(f'Cannot resolve operation: {operation}')\n    return symbol_info\n\n\nclass Operation3DSymbol:\n    def __init__(self, wire_symbols, location_info, color_info, moment):\n        \"\"\"Gathers symbol information from an operation and builds an\n        object to represent it in 3D.\n\n        Args:\n            wire_symbols: a list of symbols taken from circuit_diagram_info()\n            that will be used to represent the operation in the 3D circuit.\n\n            location_info: A list of coordinates for each wire_symbol. The\n            index of the coordinate tuple in the location_info list must\n            correspond with the index of the symbol in the wire_symbols list.\n\n            color_info: a list representing the desired color of the symbol(s).\n            These will also correspond to index of the symbol in the\n            wire_symbols list.\n\n            moment: the moment where the symbol should be.\n        \"\"\"\n        self.wire_symbols = wire_symbols\n        self.location_info = location_info\n        self.color_info = color_info\n        self.moment = moment\n\n    def to_typescript(self):\n        return {\n            'wire_symbols': list(self.wire_symbols),\n            'location_info': self.location_info,\n            'color_info': self.color_info,\n            'moment': self.moment,\n        }\n", "path": "cirq-web/cirq_web/circuits/symbols.py"}], "after_files": [{"content": "# Copyright 2021 The Cirq Developers\n#\n# Licensed under the Apache License, Version 2.0 (the \"License\");\n# you may not use this file except in compliance with the License.\n# You may obtain a copy of the License at\n#\n#     https://www.apache.org/licenses/LICENSE-2.0\n#\n# Unless required by applicable law or agreed to in writing, software\n# distributed under the License is distributed on an \"AS IS\" BASIS,\n# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n# See the License for the specific language governing permissions and\n# limitations under the License.\n\n# This is more of a placeholder for now, we can add\n# official color schemes in follow-ups.\nimport abc\nimport dataclasses\nfrom typing import Iterable, List, Optional\nimport cirq\nfrom cirq.protocols.circuit_diagram_info_protocol import CircuitDiagramInfoArgs\n\n\n@dataclasses.dataclass\nclass SymbolInfo:\n    \"\"\"Organizes information about a symbol.\"\"\"\n\n    labels: List[str]\n    colors: List[str]\n\n    @staticmethod\n    def unknown_operation(num_qubits: int) -> 'SymbolInfo':\n        \"\"\"Generates a SymbolInfo object for an unknown operation.\n\n        Args:\n            num_qubits: the number of qubits in the operation\n        \"\"\"\n        symbol_info = SymbolInfo([], [])\n        for _ in range(num_qubits):\n            symbol_info.colors.append('gray')\n            symbol_info.labels.append('?')\n        return symbol_info\n\n\nclass SymbolResolver(metaclass=abc.ABCMeta):\n    \"\"\"Abstract class providing the interface for users to specify information\n    about how a particular symbol should be displayed in the 3D circuit\n    \"\"\"\n\n    def __call__(self, operation: cirq.Operation) -> Optional[SymbolInfo]:\n        return self.resolve(operation)\n\n    @abc.abstractmethod\n    def resolve(self, operation: cirq.Operation) -> Optional[SymbolInfo]:\n        \"\"\"Converts cirq.Operation objects into SymbolInfo objects for serialization.\"\"\"\n\n\nclass DefaultResolver(SymbolResolver):\n    \"\"\"Default symbol resolver implementation. Takes information\n    from circuit_diagram_info, if unavailable, returns information representing\n    an unknown symbol.\n    \"\"\"\n\n    _SYMBOL_COLORS = {\n        '@': 'black',\n        'H': 'yellow',\n        'I': 'orange',\n        'X': 'black',\n        'Y': 'pink',\n        'Z': 'cyan',\n        'S': '#90EE90',\n        'T': '#CBC3E3',\n    }\n\n    def resolve(self, operation: cirq.Operation) -> Optional[SymbolInfo]:\n        \"\"\"Checks for the _circuit_diagram_info attribute of the operation,\n        and if it exists, build the symbol information from it. Otherwise,\n        builds symbol info for an unknown operation.\n\n        Args:\n            operation: the cirq.Operation object to resolve\n        \"\"\"\n        try:\n            info = cirq.circuit_diagram_info(operation)\n        except TypeError:\n            return SymbolInfo.unknown_operation(cirq.num_qubits(operation))\n\n        wire_symbols = info.wire_symbols\n        symbol_exponent = info._wire_symbols_including_formatted_exponent(\n            CircuitDiagramInfoArgs.UNINFORMED_DEFAULT\n        )\n        symbol_info = SymbolInfo(list(symbol_exponent), [])\n        for symbol in wire_symbols:\n            symbol_info.colors.append(DefaultResolver._SYMBOL_COLORS.get(symbol, 'gray'))\n\n        return symbol_info\n\n\nDEFAULT_SYMBOL_RESOLVERS: Iterable[SymbolResolver] = tuple([DefaultResolver()])\n\n\ndef resolve_operation(operation: cirq.Operation, resolvers: Iterable[SymbolResolver]) -> SymbolInfo:\n    \"\"\"Builds a SymbolInfo object based off of a designated operation\n    and list of resolvers. The latest resolver takes precendent.\n\n    Args:\n        operation: the cirq.Operation object to resolve\n        resolvers: a list of SymbolResolvers which provides instructions\n        on how to build SymbolInfo objects.\n\n    Raises:\n        ValueError: if the operation cannot be resolved into a symbol.\n    \"\"\"\n    symbol_info = None\n    for resolver in resolvers:\n        info = resolver(operation)\n        if info is not None:\n            symbol_info = info\n\n    if symbol_info is None:\n        raise ValueError(f'Cannot resolve operation: {operation}')\n    return symbol_info\n\n\nclass Operation3DSymbol:\n    def __init__(self, wire_symbols, location_info, color_info, moment):\n        \"\"\"Gathers symbol information from an operation and builds an\n        object to represent it in 3D.\n\n        Args:\n            wire_symbols: a list of symbols taken from circuit_diagram_info()\n            that will be used to represent the operation in the 3D circuit.\n\n            location_info: A list of coordinates for each wire_symbol. The\n            index of the coordinate tuple in the location_info list must\n            correspond with the index of the symbol in the wire_symbols list.\n\n            color_info: a list representing the desired color of the symbol(s).\n            These will also correspond to index of the symbol in the\n            wire_symbols list.\n\n            moment: the moment where the symbol should be.\n        \"\"\"\n        self.wire_symbols = wire_symbols\n        self.location_info = location_info\n        self.color_info = color_info\n        self.moment = moment\n\n    def to_typescript(self):\n        return {\n            'wire_symbols': list(self.wire_symbols),\n            'location_info': self.location_info,\n            'color_info': self.color_info,\n            'moment': self.moment,\n        }\n", "path": "cirq-web/cirq_web/circuits/symbols.py"}]}