So I got all of the amounts from Holoknight's runs. But I don't know the absolute minimum. Here's what I got:

7 wood -wood haxe

9 wood -wood shovel

6 wood -wood pick

32 stone

• stone bench
• stone haxe
• stone pick
• stone sword

77 wood

28 iron ore

• For Funace

11 gem

• For Chem Lab

46 stone

• factory

21 stone

• furance

Furnace

• 9 iron bars

36 sand -12 glass

42 wood (Should have that amount)

(17 fabric) 27 ichor -9 glue

4 Sail

Boat

My route is based off Jyrvn's comment for the game at Lexaloffle, which reads as follows:

"I like this game so much I used a spreadsheet to figure out a speedrun. All you need to beat the game is the following raw materials: 72 wood 45 stone 24 iron 10 gems 36 sand 12 fabric 27 ichor

The only tool you have to build is the shovel, which I recommend a wooden one. The other materials you can get with your bare hands, though it would take a lot of time. To speed things up, you can collect 17 extra stone to build the haxe, pick, and sword. Iron or better equipment is not worth it due to the cost of an anvil and three times the material.

Once you have what you need, simply build the stone bench if you haven't already and use it to build the furnace. smelt 8 iron bars and 9 pieces of glass with it. Then build the chem lab and factory with the workbench. Create 9 bottles of glue, 4 sails, and finally your boat."

Might not be perfect, but it's not bad.