Hallel on Chol HaMoed Pesach

(3) In Israel's going out from Egypt, the house of Ya'akov from a people of foreign speech. The Sea saw and fled, the Jordan turned to the rear. The mountains danced like rams, the hills like young sheep. What is happening to you, O Sea, that you are fleeing, O Jordan that you turn to the rear; O mountains that you dance like rams, O hills like young sheep? From before the Master, tremble O earth, from before the Lord of Ya'akov. He who turns the boulder into a pond of water, the flint into a spring of water. (Psalms 114)

[On] eighteen days [of the year] and individual completes the Hallel:

The eight days of the Chag [Sukkot], the eight days of Chanukah, and the first day of Pesach and the first day of Atzeret [Shavuot]

And in the diaspora, twenty- one days:

The nine days of the Chag [Sukkot], the eight days of Chanukah, and the two [first] holy days of Pesach and the two holy days of Atzeret [Shavuot]

Why is the Chag [Sukkot] different, that we say [Hallel] on each day, and why on Pesach do we not say [Hallel] all days?

of the Chag [Sukkot] are separate in their sacrifices; [those] of Pesach are not separate in their sacrfices

Shabbat, which has unique sacrifices, [Hallel] should be said?

It is not called a 'Moed'. Rosh Chodesh, which is called a 'Moed', it should be said? It is not sanctified with [a prohibition against] doing work. Rosh Hashanah and Yom Hakippurim, which are called 'Moed', and are sanctified with [a prohibtion against] doing work, [Hallel] should be said? [It is not said] because of [the statement of] R' Abahu, as R' Abahu said, The ministering angels said before Hakadosh Baruch Hu, Master of the World, why does [the nation of] Israel not sing before you on Rosh Hashanah and Yom Hakippurim? He [G-d] replied to them, Is it possible that the King sits on the Throne of Judgment, and the books of the live and the books of the dead are open before Him, and [the nation of] Israel sings before Me? Purim, [when] there is a miracle, it should be said? R' Yitzchak said, Because we do not sing on a miracle [that occurred] in the diaspora. R' Nachman said: Its reading [of the Megillah] is its Hallel. Rava said: [However] we are still servants of Achashveirosh

On the rest of the days of Pesach are not separate in their sacrifices are all follow after the first day

The reason we don't say complete Hallel on the rest of the days of Pesach is because the Egyptians drowned and the Passuk says "Don't be happy with the fall of your enemies".

On the 7th day of Pesach the Egyptians drowned, Hashem said "My creations are drowning and you sing my praise?! since we don't say Hallel on the 7th day of Pesach, we also don't say it on Chol HaMoed too so that it shouldn't be better than the Yom Tov.

(17) If your enemy falls, do not exult; If he trips, let your heart not rejoice,

(10) When the righteous prosper the city exults; When the wicked perish there are shouts of joy.

(11) Say to them: As I live—declares the Lord GOD—it is not My desire that the wicked shall die, but that the wicked turn from his [evil] ways and live. Turn back, turn back from your evil ways, that you may not die, O House of Israel!

(84) and all the wickedness will vanish like smoke, when You remove the rule of evil from the earth.

The Gemara cites proof that the first two chapters are in fact a single chapter. As Rabbi Yehuda, son of Rabbi Shimon ben Pazi, said: David said one hundred and three chapters, and he did not say Halleluya in any of them until he saw the downfall of the wicked. Only then could David say Halleluya wholeheartedly. As it is stated: “Let sinners cease from the earth, and let the wicked be no more. Bless the Lord, my soul, Halleluya” (Psalms 104:35).

With regard to the statement of Rabbi Yehuda, son of Rabbi Shimon ben Pazi, that David did not say Halleluya until he saw the downfall of the wicked, the Gemara relates: There were these hooligans in Rabbi Meir’s neighborhood who caused him a great deal of anguish. Rabbi Meir prayed for God to have mercy on them, that they should die. Rabbi Meir’s wife, Berurya, said to him: What is your thinking? On what basis do you pray for the death of these hooligans? Do you base yourself on the verse, as it is written: “Let sins cease from the land” (Psalms 104:35), which you interpret to mean that the world would be better if the wicked were destroyed? But is it written, let sinners cease?” Let sins cease, is written. One should pray for an end to their transgressions, not for the demise of the transgressors themselves. Moreover, go to the end of the verse, where it says: “And the wicked will be no more.” If, as you suggest, transgressions shall cease refers to the demise of the evildoers, how is it possible that the wicked will be no more, i.e., that they will no longer be evil? Rather, pray for God to have mercy on them, that they should repent, as if they repent, then the wicked will be no more, as they will have repented. Rabbi Meir saw that Berurya was correct and he prayed for God to have mercy on them, and they repented.

(1) And for slanderers may there be no hope; and may all wickedness be destroyed instantly and may all Your enemies be cut down quickly. Quickly uproot, smash, and cast down the arrogant sinners and humble them quickly in our days. Blessed are You, O Lord, Who breaks enemies and humbles arrogant sinners.

From here it is difficult that what the Achronim bring in the name of the Midrash that the reason why we don't say full Hallel on the last day of Pesach is because Hashem said "My creations are drowning and you are singing by praise?! Because here we say the opposite, that David never said Hallel until he saw the fall of the evil. Additionally the Gemara in Arachin gives the reason that there is no differences in the Korbanot

1. He redeems from the power of kings. Our king who delivers us from the land of all cruel tyrants. 2. He is the God who exacts vengeance for us from our foes. And who brings just retribution upon all enemies of all soul. 3. Who performs great deeds beyond comprehension, and wonders beyond number.

If He had taken us through it on dry land and had not pushed down our enemies in [the Sea]; [it would have been] enough for us.

(2) Halleluyah! Praise, servants of the Lord, praise the name of the Lord. May the Name of the Lord be blessed from now and forever. From the rising of the sun in the East to its setting, the name of the Lord is praised. Above all nations is the Lord, His honor is above the heavens. Who is like the Lord, our God, Who sits on high; Who looks down upon the heavens and the earth? He brings up the poor out of the dirt; from the refuse piles, He raises the destitute. To seat him with the nobles, with the nobles of his people. He seats a barren woman in a home, a happy mother of children. Halleluyah! (Psalms 113)

(5) Not to us, not to us, but rather to Your name, give glory for your kindness and for your truth. Why should the nations say, "Say, where is their God?" But our God is in the heavens, all that He wanted, He has done. Their idols are silver and gold, the work of men's hands. They have a mouth but do not speak; they have eyes but do not see. They have ears but do not hear; they have a nose but do not smell. Hands, but they do not feel; feet, but do not walk; they do not make a peep from their throat. Like them will be their makers, all those that trust in them. Israel, trust in the Lord; their help and shield is He. House of Aharon, trust in the Lord; their help and shield is He. Those that fear the Lord, trust in the Lord; their help and shield is He. (Psalms 115)

(8) I have loved the Lord - since He hears my voice, my supplications. Since He inclined His ear to me - and in my days, I will call out. The pangs of death have encircled me and the straits of the Pit have found me and I found grief. And in the name of the Lord I called, "Please Lord, Spare my soul." Gracious is the Lord and righteous, and our God acts mercifully. The Lord watches over the silly; I was poor and He has saved me. Return, my soul to your tranquility, since the Lord has favored you. Since You have rescued my soul from death, my eyes from tears, my feet from stumbling. I will walk before the Lord in the lands of the living. I have trusted, when I speak - I am very afflicted. I said in my haste, all men are hypocritical. (Psalms 116:1-11)