Best ending song I’ve heard this season, and I love how the show integrates it by often playing it over important scenes. I think these lyrics come from the perspective of Emilia.
Note the attached video is not the full song, but what has been officially uploaded by Kadokawa. It goes pretty far though.
★ Title: STYX HELIX
☆ Album: STYX HELIX
★ Album Artist: MYTH & ROID
☆ Publisher: KADOKAWA
★ Vocals and lyrics: Mayu
☆ Arrangement and composition: Tom-H@ck
★ Website: http://www.mythd-club.com/
Oh, please don’t let me die
Waiting for your touch
No, don’t give up on life
This endless dead end
狂った時計 刻む命
こぼれてく記憶と砂
芽生えた想いまで
ねえ こんなに呆気なく
消えてしまうの
I wish I was there
kurutta tokei kizamu inochi
koborete ku kioku to suna
mebaeta omoi made
nee konna ni akkenaku
kiete shimau no
I wish I was there
The askew clock counts down life
Memories and sand spill down
Will even these budding feelings,
hey, tell me, will they disappear
this easily?
I wish I was there
Oh, please don’t let me die
Waiting for your touch
二度となにも失くさぬように
私を忘れて 始めて ”Restart”
No don’t give up on life
This endless dead end
君を砕くこの悲しみが
いつか終わりますように
For now I’ll see you off
Oh, please don’t let me die
Waiting for your touch
nido to nani mo nakusanu you ni
watashi o wasurete hajimete “Restart”
No, don’t give up on life
This endless dead end
kimi o kudaku kono kanashimi ga
itsu ka owarimasu you ni
For now I’ll see you off
Oh, please don’t let me die
Waiting for your touch
So that you may never lose anything ever again,
forget me and start again – “Restart”
No, don’t give up on life
This endless dead end
May this anguish crushing you
someday come to an end
For now I’ll see you off
My time is spinning around
Your deep black eyes
I forgot what time it is
And our memories are gone…?
甘い香り放つ
追憶という名の罠
誘われ囚われ
なぜ抗えもせず また
溺れてしまうの
I wish you were here
amai kaori hanatsu
kioku to iu na no wana
sasoware toraware
naze aragae mo sezu mata
oborete shimau no
I wish you were here
A sweet smell is released
A trap by the name of nostalgia
Lured in and trapped,
why do I drown again
without even struggling?
I wish you were here
Oh, never close your eyes
Searching for a true fate
どこか消えたあのぬくもりを
追いかけ続けて 見失う ”Restart”
So, let us try again
From the very first time
“きっときっと” そうやって今も
虚しい輪を描いてる
For now, see you again
Oh, never close your eyes
Searching for a true fate
doko ka kieta ano nukumori o
oi kake tsudzukete mi ushinau “Restart”
So, let us try again
From the very first time
“kitto kitto” sou yatte ima mo
munashii wa o egaiteru
For now, see you again
Oh, never close your eyes
Searching for a true fate
After losing sight of that warmth you continue to chase
which disappeared somewhere along the line, “Restart”
So, let us try again
From the very first time
“I’m sure, I’m sure” – like that, you’re still
drawing a circle pointlessly
For now, see you again
…fading in, fading out…
I wish we were there
あの日々には戻れない
時は強く 悲しく強く
ただただ進んでゆくだけ ”Restart”
No, don’t give up on life
This endless dead end
振り返らない そんな強さを
誰も皆演じている
For now I’ll see you off
ano hibi ni wa modorenai
toki wa tsuyoku tsuyoku kanashiku tsuyoku
tada tada susunde yuku dake “Restart”
No, don’t give up on life
This endless dead end
furi kaeranai sonna tsuyosa o
dare mo mina enjiteiru
For now I’ll see you off
It’s not possible to go back that far, to those old days
Time is strong, sadly strong
All you can do is just keep moving on and “Restart”
No, don’t give up on life
This endless dead end
The strength it takes to not look back
everyone is just pretending to have
For now I’ll see you off
And we’ll die
Waiting for a new day
二度と…
And we’ll die
Waiting for a new day
nido to…
And we’ll die
Waiting for a new day
Never again…
And we’ll start
Waiting for a new day
君と…
And we’ll start
Waiting for a new day
kimi to…
And we’ll start
Waiting for a new day
With you…
Oh, please don’t let me die
消えないで ah…
Oh, please don’t let me die
kienai de ah…
Oh, please don’t let me die
Don’t fade away… ah…
Amen 
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