The following patterns for toolheads apply once the green and red markers line up. It's not possible to give a full pattern from the start because the position of the red marker is random.
The following patterns for smithing iron apply from the start. They don't seem to be randomized.
To refine a Raw Iron Bloom (≥ 100%) into a Refined Iron Bloom:
To split a Refined Iron Bloom (≥ 200%) into Refined Iron Blooms (100%):
To hammer a Raw Iron Bloom (100%) into a Wrought Iron Ingot:
To hammer a Wrought Iron Double Ingot into a Wrought Iron Sheet:
To work a Pig Iron Ingot into a High-Carbon Steel Ingot:
To work a High-Carbon Steel Ingot into a Steel Ingot:
To work a High-Carbon Black Steel Ingot into a Black Steel Ingot:
To work a High-Carbon Blue Steel Ingot into a Blue Steel Ingot:
To work a High-Carbon Red Steel Ingot into a Red Steel Ingot: