Table 2 CPU-time estimate (in core hours) for different stages of the free-energy calculation for Nb (PBE, 11 valence electrons) using the current framework and using the previous TU-TILD methodology

From: High-accuracy thermodynamic properties to the melting point from ab initio calculations aided by machine-learning potentials

 

Stage

Current framework

TU-TILD

MTP fitting

Low-MTP fitting

340

–

 

High-MTP fitting

8500

40,000

 

Total fitting time

8800

40,000

 

Speed-up (fitting)

Ă—4.5

Ă—1

Free-energy calc.

Effective QH fitting

11,000

13,000

 

ΔFqh→MTP

7700

7700

 

ΔFMTP→DFT,low

–

1,630,000

 

(Direct) upsampling

410,000

410,000

 

Total free-energy calc. time

430,000

2,100,000

 

Speed-up (free-energy calc.)

Ă—4.8

Ă—1

 

Total calculation time for Nb

440,000

2,140,000

  1. The ΔF and upsampling values are for a 11 × 13 (V, T) grid. The speed-up is with respect to TU-TILD.