Table 2.
Arithmetic operations per task for different analytical update methods.
| Task | Operation | Analytical I | Analytical II |
|---|---|---|---|
| Pre-update | Equations (7–9) | Equations (32–34) | |
| ADD | 7 | 3 | |
| MUL | 12 | 6 | |
| EXP | 3 | 3 | |
| Retrieve Pi | Equation (46) | ||
| ADD | – | 2 | |
| MUL | – | 3 | |
| Syn-update | Equations (12, 13) | Equations (39, 40) | |
| ADD | 6 | 2 | |
| MUL | 13 | 5 | |
| EXP | 3 | 2 | |
| Retrieve Pij | Equation (49) | ||
| ADD | – | 2 | |
| MUL | – | 4 | |
| Update of wij | |||
| at pre-spike | ADD | 22 | 14 |
| MUL | 39 | 29 | |
| EXP | 9 | 8 | |
| LOG | 1 | 1 | |
| Update of βj | |||
| at post-spike | ADD | 8 | 6 |
| MUL | 12 | 9 | |
| EXP | 3 | 3 | |
| LOG | 1 | 1 |
ADD, additions and subtractions; MUL, multiplications and divisions; EXP, computations of exponential function; LOG, natural logarithm. The operation counts of the analytical I method correspond to optimized versions of the referenced formulas using pre-calculated coefficients and intermediate steps. The different tasks are further specified in the text.