Cheap-First Cascade with Escalation

Cheap-First Cascade with Escalation Add Opus tier Show expected cost

Cheap-pass rate: 80%

Confidence threshold (logprob Δ): 2.0

P(cheap pass)0.80

P(sonnet pass)0.18

P(opus pass)0.02

Cheap-only baseline$0.001

Cascade expected$0.0024

Always-Opus baseline$0.026

Reduction vs. Opus91%

E[cost] = 0.80 × $0.001 + 0.18 × $0.006 + 0.02 × $0.026 = $0.0024