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CMP.8:3 - Forces
| Force | What must be reconciled |
|---|
| Cheap computation and useful distinctions | Coarsening reduces work but can merge alternatives whose difference decides the answer. |
| Mathematical convergence and finite return | Eventual convergence may supply neither an affordable stage nor a recognizable stopping condition. |
| Local error and composed error | A small loss at every operation can accumulate or be amplified downstream. |
| Objective quality and admissibility | An excellent approximate objective value can accompany an infeasible returned object. |
| Precision and conditioning | More accurate arithmetic helps only the errors it controls. |
| Strong guarantees and obtaining cost | A computable conservative bound can be more useful than an inaccessible sharp one. |