``When you can measure what you are speaking about and express it in numbers you know something about it, but when you cannot measure it, when you cannot express it in numbers, your knowledge is of a meagre and unsatisfactory kind.'' Lord Kelvin, 1883.The following are 3 examples of randomly generated equations:
| Performance of simple iterators | |||
| 66644 random equations producing 162314 iterators | |||
| method | failures | ||
| converged to a root | 69.50% | converged to a non-root | 3.08% |
| failed | 30.50% | diverged | 31.85% |
| average time | 2.639 | outside domain | 43.44% |
| time per root | 3.797 | too many iterations | 9.59% |
| iterators per equation | 2.436 | no iterators | 12.03% |
