Here are the errors in the installer log. The ones from 7:30 to 7:32 are associated with the update process.
Nov 18 07:30:21 localhost opendirectoryd[123]: opendirectoryd (build 382.0) launched - installer mode
Nov 18 07:30:21 localhost opendirectoryd[123]: Logging level limit changed to 'notice'
Nov 18 07:30:22 localhost opendirectoryd[123]: Initialize trigger support
Nov 18 07:30:22 localhost opendirectoryd[123]: created endpoint for mach service 'com.apple.private.opendirectoryd.rpc'
Nov 18 07:30:22 localhost opendirectoryd[123]: set default handler for RPC 'reset_cache'
Nov 18 07:30:23 localhost opendirectoryd[123]: set default handler for RPC 'reset_statistics'
Nov 18 07:30:23 localhost opendirectoryd[123]: set default handler for RPC 'show'
Nov 18 07:30:23 localhost opendirectoryd[123]: starting endpoint for service 'com.apple.private.opendirectoryd.rpc'
Nov 18 07:30:23 localhost opendirectoryd[123]: no dynamic data found at '/System/Library/OpenDirectory/DynamicData/Configure.plist'
Nov 18 07:30:23 localhost opendirectoryd[123]: Registered node with name '/Configure' as hidden
Nov 18 07:30:23 localhost opendirectoryd[123]: no dynamic data found at '/System/Library/OpenDirectory/DynamicData/Local.plist'
Nov 18 07:30:23 localhost opendirectoryd[123]: Registered node with name '/Local' as hidden
Nov 18 07:30:23 localhost configd[113]: adding com.apple.SystemConfiguration.InterfaceNamer
Nov 18 07:30:23 localhost configd[113]: adding com.apple.SystemConfiguration.SCNetworkReachability
Nov 18 07:30:23 localhost configd[113]: loading com.apple.SystemConfiguration.ISPreference
Nov 18 07:30:31 localhost configd[113]: com.apple.SystemConfiguration.ISPreference load failed
Nov 18 07:30:31 localhost configd[113]: dlopen_preflight(/System/Library/SystemConfiguration/InternetSharingPreference. bundle/Contents/MacOS/InternetSharingPreference): Library not loaded: /System/Library/PrivateFrameworks/Netrb.framework/Versions/A/Netrb
Nov 18 07:30:31 localhost configd[113]: Referenced from: /System/Library/SystemConfiguration/InternetSharingPreference.bundle/Contents/M acOS/InternetSharingPreference
Nov 18 07:30:31 localhost configd[113]: Reason: image not found
Nov 18 07:30:31 localhost configd[113]: loading com.apple.SystemConfiguration.ApplicationFirewall
Nov 18 07:30:31 localhost configd[113]: adding com.apple.SystemConfiguration.KernelEventMonitor
Nov 18 07:30:31 localhost configd[113]: adding com.apple.SystemConfiguration.LinkConfiguration
Nov 18 07:30:31 localhost configd[113]: adding com.apple.SystemConfiguration.PreferencesMonitor
Nov 18 07:30:31 localhost configd[113]: loading com.apple.SystemConfiguration.EAPOLController
Nov 18 07:30:31 localhost configd[113]: loading com.apple.SystemConfiguration.IPConfiguration
Nov 18 07:30:31 localhost configd[113]: adding com.apple.SystemConfiguration.IPMonitor
Nov 18 07:30:31 localhost configd[113]: skipped com.apple.SystemConfiguration.Logger (disabled)
Nov 18 07:30:32 localhost configd[113]: updateConfiguration(): no preferences.
Nov 18 07:30:34 localhost configd[113]: LSExceptions [0x7fbed964eee0] loaded
Nov 18 07:30:36 localhost opendirectoryd[123]: 125.1 - Client: apsd, UID: 0, EUID: 0, GID: 0, EGID: 0
Nov 18 07:30:36 localhost opendirectoryd[123]: 125.1 - ODNodeCreateWithNameAndOptions request, SessionID: 00000000-0000-0000-0000-000000000000, Name: /Search, Options: 0x0
Nov 18 07:30:36 localhost opendirectoryd[123]: 125.1 - ODNodeCreateWithNameAndOptions failed with error 'Unknown node name' (2000)
Nov 18 07:30:37 localhost configd[113]: network changed.
Nov 18 07:30:40 localhost Unknown[373]: kern.boottime: { sec = 1416324602, usec = 0 } Tue Nov 18 07:30:02 2014
Nov 18 07:30:40 localhost Unknown[382]: Launching the Language Chooser for an OS Install
Nov 18 07:30:48 localhost configd[113]: LSExceptions [0x7fbed964eee0] unloaded
Nov 18 07:30:50 localhost configd[113]: InterfaceNamer: No current set
Nov 18 07:30:51 localhost configd[113]: New network configuration saved
Nov 18 07:30:51 localhost configd[113]: network changed.
Nov 18 07:30:55 localhost opendirectoryd[123]: 125 - Client: 'apsd', exited with 0 session(s), 0 node(s) and 0 active request(s)
Nov 18 07:31:05 localhost Language Chooser[383]: Setting system to install/recovery mode.
Nov 18 07:31:07 localhost Unknown[384]: Setting boot completed.
Nov 18 07:31:07 localhost Language Chooser[383]: Waiting for prepaired devices to appear
Nov 18 07:31:08 localhost Language Chooser[383]: All prepaired devices have connected. Continuing.
Nov 18 07:31:08 localhost Language Chooser[383]: Prepaired wait done.
Nov 18 07:31:08 localhost Language Chooser[383]: Could not read prev-lang:kbd to set keyboard.
Nov 18 07:31:13 localhost Language Chooser[383]: Ordering out cinematic windows.
Nov 18 07:31:13 localhost Language Chooser[383]: Not hiding Language Chooser in progress callback
Nov 18 07:31:48 localhost Language Chooser[383]: Launching the Springboard using language code "en"
Nov 18 07:31:49 localhost OSIESpringboard[399]: LSExceptions [0x7f9608d15910] loaded
Nov 18 07:31:49 localhost OSIESpringboard[399]: Can not connect to /var/run/systemkeychaincheck.socket: No such file or directory
Nov 18 07:31:49 localhost OSIESpringboard[399]: Failed to unlock login keychain.
Nov 18 07:31:53 localhost Language Chooser[383]: Hiding Language Chooser in window counter
Nov 18 07:32:00 localhost OSIESpringboard[399]: LSExceptions [0x7f9608d15910] unloaded
Nov 18 07:32:09 localhost Unknown[384]: 2014-11-18 07:32:09.540 Disk Utility[403:13989] Failed to connect (cancelRecreate) outlet from (DUWindowController) to (NSButton): missing setter or instance variable
Nov 18 07:32:09 localhost Unknown[384]: 2014-11-18 07:32:09.541 Disk Utility[403:13989] Failed to connect (repairSheetInfo) outlet from (DUWindowController) to (NSTextField): missing setter or instance variable
Nov 18 07:32:10 localhost Unknown[384]: 2014-11-18 07:32:10.608 Disk Utility[403:13989] 10.4-style NSNumberFormatter method called on a 10.0-style formatter, which doesn't work. Break on _NSNumberFormatter_Log_New_Methods_On_Old_Formatters to debug. This message will only be logged once.
Nov 18 07:32:20 localhost Unknown[384]: Keyboard Layouts: duplicate keyboard layout identifier -16899.
Nov 18 07:32:20 localhost Unknown[384]: Keyboard Layouts: keyboard layout identifier -16899 has been replaced with -28673.
Nov 18 07:32:20 localhost Unknown[384]: Keyboard Layouts: duplicate keyboard layout identifier -16900.
Nov 18 07:32:20 localhost Unknown[384]: Keyboard Layouts: keyboard layout identifier -16900 has been replaced with -28674.
Nov 18 07:50:43 localhost OSIESpringboard[399]: GetDYLDEntryPointWithImage(/System/Library/PrivateFrameworks/CacheDelete.framew ork/CacheDelete,CacheDeleteCopyPurgeableSpaceWithInfo) failed.
Nov 18 07:50:43 localhost Unknown[384]: 2014-11-18 07:50 OS X Utilities[399] (FSEvents.framework) FSEventStreamStart: ERROR: FSEvents_connect() => Unknown service name (1102)
Nov 18 07:50:51 localhost OSIESpringboard[399]: Connection to sharingd became invalid
Nov 18 07:50:51 localhost OSIESpringboard[399]: Folder Manager is being asked to create a folder (docs) while running as uid 0
Nov 18 07:50:51 localhost OSIESpringboard[399]: CoreServices logging is enabled,
Nov 18 07:50:51 localhost OSIESpringboard[399]: SFL Favorites initialized.
Nov 18 07:52:14 localhost Unknown[384]: 2014-11-18 07:52 OS X Utilities[399] (FSEvents.framework) FSEventStreamStart: ERROR: FSEvents_connect() => Unknown service name (1102)
Nov 18 07:52:14 localhost OSIESpringboard[399]: Folder Manager is being asked to create a folder (docs) while running as uid 0
Nov 18 07:52:14 localhost OSIESpringboard[399]: Connection to sharingd became invalid