Good breakdown of printing timing breakdown of curl.  For example command:

curl -L --output /dev/null --silent --show-error --write-out 'lookup:        %{time_namelookup}\nconnect:       %{time_connect}\nappconnect:    %{time_appconnect}\npretransfer:   %{time_pretransfer}\nredirect:      %{time_redirect}\nstarttransfer: %{time_starttransfer}\ntotal:         %{time_total}\n' 'https://google.com'

lookup:        0.038
connect:       0.063
appconnect:    0.177
pretransfer:   0.178
redirect:      0.225
starttransfer: 0.679
total:         0.929

From the man pages -    

lookup: The time, in seconds, it took from the start until the name resolving was completed.

connect: The time, in seconds, it took from the start until the TCP connect to the remote host (or proxy) was completed.

appconnect: The time, in seconds, it took from the start until the SSL/SSH/etc connect/handshake to the remote host was completed. (Added in 7.19.0)

pretransfer: The time, in seconds, it took from the start until the file transfer was just about to begin. This includes all pre-transfer commands and negotiations that are specific to the particular protocol(s) involved.

redirect: The time, in seconds, it took for all redirection steps include name lookup, connect, pretransfer and transfer before the final transaction was started. time_redirect shows the complete execution time for multiple redirections. (Added in 7.12.3)

starttransfer: The time, in seconds, it took from the start until the first byte was just about to be transferred. This includes time_pretransfer and also the time the server needed to calculate the result.

total: The total time, in seconds, that the full operation lasted. The time will be displayed with millisecond resolution.