Test Log - _21_math

Tested 2026-07-20 live against gpt-5.5, agno 2.7.4, using .venvs/demo/bin/python with OPENAI_API_KEY loaded from .envrc.

basic.py

Status: PASS

Description: Saturated multiplication beside a calibrated modular recurrence.

Result: 12 attempts in 29s. single-product saturated at 6/6, while recurrence-8 landed at 5/6 (0.833), producing the intended visible transition from an easy row to a true learning-zone row.

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chained_arithmetic.py

Status: PASS

Description: Product plus digit-sum, scaling, and remainder transform.

Result: 12 attempts in 56s. The shorter chain saturated at 6/6; the longer 16-digit chain split 4/6 (0.667). The explicit 0 < pass_rate < 1 selection returned only long-chain.

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recurrence_boundary.py

Status: PASS

Description: Eight-, nine-, and ten-round nonlinear recurrence ladder.

Result: 18 attempts in 82s, all scored. rounds-8 was 3/6 (0.500), rounds-9 was 3/6 (0.500), and rounds-10 was 4/6 (0.667). Every row occupied the middle band without the 30s-plus incomplete behavior seen in the discarded 11- and 15-round calibration tasks.

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