| Performance of various iteration formulas | ||
| tested on 66644 random equations | ||
| method | iterators | success |
| exist | ratio | |
| Inverse quadratic interp | 100.00% | 32.45% |
| Newton | 100.00% | 34.36% |
| Secant | 100.00% | 37.40% |
| W(x) iterators | 4.00% | 1.83% |
| Euler (Direct quadratic interp) | 100.00% | 47.14% |
| Halley | 100.00% | 48.58% |
| Secant (3 point) | 100.00% | 48.69% |
| Ostrowski | 100.00% | 51.73% |
| Rational polynomial iterators | 21.60% | 11.64% |
| Homotopy | 100.00% | 58.10% |
| Polynomial iterators | 69.96% | 44.64% |
| Homotopy (Euler direction) | 100.00% | 65.68% |
| Simple iterators | 96.33% | 69.50% |
| Spiral | 100.00% | 74.39% |