Bounded success
99.4%exact-derivedExact terminal success within the maximum attempts.
[3]Portfolio 18 · bounded stochastic workflow
Reconcile every expected node execution, token, tool call, and human-review minute; solve independent branches exactly and reserve seeded simulation for tail latency or correlated events.
Decision this answers: What does one successful workflow cost, which node drives it, and how much reliability and p95 latency come from a hard-bounded retry policy?
Bounded success
99.4%exact-derivedExact terminal success within the maximum attempts.
[3]Expected workflow cost
$0.40exact-derivedModels, tools, and expected human review.
[4][2]Cost per successful outcome
$0.41exact-derivedExpected cost divided by bounded terminal success.
[4]Simulated p95 latency
7.40model estimateSeed 42, 20,000 runs; success standard error 0.001.
[5]The tables below are the accessible source of truth; bar lengths never carry identity alone.
| Candidate | Expected executions | Token meter | External meter | Termination | Method | Evidence |
|---|---|---|---|---|---|---|
| Planner | 1.000 | Input + output | None | Acyclic | Exact | exact-derived[3] |
| Tool loop | 1.212 | Per attempt | Tool call per attempt | 3 attempts | Finite geometric | exact-derived[2] |
| Human exception | 0.060 | None | 4 min at 6% reach | Terminal escalation | Exact expectation | model estimate[5] |
| Candidate | Use when | Correlation | Uncertainty | Reproducibility | Evidence |
|---|---|---|---|---|---|
| Exact expectation | Acyclic independent branches or bounded retries | Independence declared | None | Closed form | exact-derived[3] |
| Monte Carlo | Tail percentiles or shared events | Explicit shared shock | Standard error | Seed + run count | model estimate[5] |
Use the official surface to confirm native prices, counting rules, limits, and product eligibility.
The official guidance describes workflow and agent patterns. This page adds an auditable economic graph with termination bounds, exact expectation, reproducible uncertainty, and cost per successful outcome.
Every result-affecting reference is visible here without JavaScript and is retained in the JSON export.
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