Costs

Here are the various costs to craft, enhance, evolve & fuse titans.

Crafting
For any new titan, you need 10 materials of the same kind.

Enhancing
To cut on costs to enhance a titan, gather as much material as possible, because it costs a bit more each time for each level you start from at next enhance.

Ex.: If you start to enhance a mythical titan but only have 8 materials, you can enhance it to level 9 for (8 x 500); later if you have the missing 11 materials, you can enhance it to level 20 but for 11 x 620 (being the cost when starting to enhance at level 8). If you are able to gather all 19 materials, you can enhance to level 20 at minimal cost of 19 x 500 instead.

Evolving
Fusing a II + II is a bad idea because you'll need 8 components by level instead of 4 if you were leveling a tier III from 40 to 60.

Fusing 2 Titans
Here are the costs in Lyras to fuse Tier I titans; depending on rarity, add costs of each titan being fused.

Fusing costs at higher tiers is multiplied by the tier.
 * Ex.: Common II + Common II is 400, Common III + Common III is 600, Common IV + Common IV is 800.