CPU shared-session matrix results

Raw data and provenance: data/results/mac-cpu/cpu/session_matrix/20260923_120503.

Each sample executes 1024 independent, distinct f64 matrix pairs. Three warmups and 15 samples; one wall-clock interval covers the whole loop. All inputs, output-container allocation, session entry, and initialization are outside timing. Outputs remain alive until timer stop. Every output is checked after timing (solve uses the residual).

tenferro enters exactly one backend session around all warmups and samples. Accelerate and faer use the same public operations and session scope. With tenferro-rs PR #1796 or later, managed BLAS and faer sessions both reuse the entered executor context. Earlier BLAS revisions included per-operation entry; consult the recorded tenferro commit. ProviderDefaultExclusive describes admission, not per-operation executor entry. The execution mode and worker count are recorded in each Rust row. 4-thread faer uses tenferro’s Rayon execution domain (inner kernel parallelism, not an outer parallel loop over matrices). PyTorch uses a Python loop over the same inputs, with its thread pools initialized before timing. Its Python dispatch cost is included. These are allocation-returning operations, not batched tensor APIs.

EagerTensor and compiled trace are not labeled shared-session: their current public interfaces do not accept this borrowed session and create internal sessions during execution. The old single-call measurements remain diagnostic evidence only.

Operation Matrix Operations Threads Provider Route Execution mode Median total ms IQR total ms Median ns/op Check
matmul 2×2 1024 1 accelerate shared-session ProviderDefaultExclusive 1.233042 0.221521 1204.14 passed
matmul 2×2 1024 1 faer shared-session Compatibility 0.953500 0.053979 931.15 passed
matmul 2×2 1024 1 pytorch python-loop not applicable 0.309917 0.023770 302.65 passed
matmul 2×2 1024 4 accelerate shared-session ProviderDefaultExclusive 0.756208 0.020063 738.48 passed
matmul 2×2 1024 4 faer shared-session Compatibility 0.738084 0.014771 720.79 passed
matmul 2×2 1024 4 pytorch python-loop not applicable 0.318750 0.009500 311.28 passed
matmul 4×4 1024 1 accelerate shared-session ProviderDefaultExclusive 0.760125 0.022250 742.31 passed
matmul 4×4 1024 1 faer shared-session Compatibility 0.752458 0.019396 734.82 passed
matmul 4×4 1024 1 pytorch python-loop not applicable 0.330084 0.010167 322.35 passed
matmul 4×4 1024 4 accelerate shared-session ProviderDefaultExclusive 0.746791 0.024812 729.29 passed
matmul 4×4 1024 4 faer shared-session Compatibility 0.732375 0.021562 715.21 passed
matmul 4×4 1024 4 pytorch python-loop not applicable 0.320000 0.016625 312.50 passed
matmul 8×8 1024 1 accelerate shared-session ProviderDefaultExclusive 0.816792 0.007792 797.65 passed
matmul 8×8 1024 1 faer shared-session Compatibility 0.790875 0.019666 772.34 passed
matmul 8×8 1024 1 pytorch python-loop not applicable 0.377750 0.008480 368.90 passed
matmul 8×8 1024 4 accelerate shared-session ProviderDefaultExclusive 0.793125 0.008833 774.54 passed
matmul 8×8 1024 4 faer shared-session Compatibility 0.787709 0.011145 769.25 passed
matmul 8×8 1024 4 pytorch python-loop not applicable 0.374167 0.014625 365.40 passed
matmul 16×16 1024 1 accelerate shared-session ProviderDefaultExclusive 1.321458 0.059166 1290.49 passed
matmul 16×16 1024 1 faer shared-session Compatibility 1.062042 0.020813 1037.15 passed
matmul 16×16 1024 1 pytorch python-loop not applicable 0.831250 0.066417 811.77 passed
matmul 16×16 1024 4 accelerate shared-session ProviderDefaultExclusive 1.316291 0.042958 1285.44 passed
matmul 16×16 1024 4 faer shared-session Compatibility 1.013167 0.023063 989.42 passed
matmul 16×16 1024 4 pytorch python-loop not applicable 0.759458 0.017729 741.66 passed
matmul 32×32 1024 1 accelerate shared-session ProviderDefaultExclusive 1.739166 0.035500 1698.40 passed
matmul 32×32 1024 1 faer shared-session Compatibility 2.267167 0.131125 2214.03 passed
matmul 32×32 1024 1 pytorch python-loop not applicable 1.001208 0.022875 977.74 passed
matmul 32×32 1024 4 accelerate shared-session ProviderDefaultExclusive 1.584292 0.051666 1547.16 passed
matmul 32×32 1024 4 faer shared-session Compatibility 2.266792 0.018812 2213.66 passed
matmul 32×32 1024 4 pytorch python-loop not applicable 0.991875 0.010521 968.63 passed
solve 2×2 1024 1 accelerate shared-session ProviderDefaultExclusive 1.576125 0.028854 1539.18 passed
solve 2×2 1024 1 faer shared-session Compatibility 1.632000 0.022208 1593.75 passed
solve 2×2 1024 1 pytorch python-loop not applicable 4.141625 0.055563 4044.56 passed
solve 2×2 1024 4 accelerate shared-session ProviderDefaultExclusive 1.563667 0.037749 1527.02 passed
solve 2×2 1024 4 faer shared-session Compatibility 1.605708 0.030625 1568.07 passed
solve 2×2 1024 4 pytorch python-loop not applicable 4.100333 0.087980 4004.23 passed
solve 4×4 1024 1 accelerate shared-session ProviderDefaultExclusive 1.645750 0.033584 1607.18 passed
solve 4×4 1024 1 faer shared-session Compatibility 1.717959 0.021895 1677.69 passed
solve 4×4 1024 1 pytorch python-loop not applicable 4.194917 0.062187 4096.60 passed
solve 4×4 1024 4 accelerate shared-session ProviderDefaultExclusive 1.624625 0.024103 1586.55 passed
solve 4×4 1024 4 faer shared-session Compatibility 1.715458 0.022729 1675.25 passed
solve 4×4 1024 4 pytorch python-loop not applicable 4.125416 0.099271 4028.73 passed
solve 8×8 1024 1 accelerate shared-session ProviderDefaultExclusive 1.877875 0.020042 1833.86 passed
solve 8×8 1024 1 faer shared-session Compatibility 2.133750 0.029770 2083.74 passed
solve 8×8 1024 1 pytorch python-loop not applicable 4.199542 0.110125 4101.12 passed
solve 8×8 1024 4 accelerate shared-session ProviderDefaultExclusive 1.870833 0.030104 1826.99 passed
solve 8×8 1024 4 faer shared-session Compatibility 2.102375 0.033209 2053.10 passed
solve 8×8 1024 4 pytorch python-loop not applicable 4.291292 0.097978 4190.71 passed
solve 16×16 1024 1 accelerate shared-session ProviderDefaultExclusive 2.859875 0.035542 2792.85 passed
solve 16×16 1024 1 faer shared-session Compatibility 3.569667 0.030312 3486.00 passed
solve 16×16 1024 1 pytorch python-loop not applicable 4.978208 0.086353 4861.53 passed
solve 16×16 1024 4 accelerate shared-session ProviderDefaultExclusive 2.849792 0.064917 2783.00 passed
solve 16×16 1024 4 faer shared-session Compatibility 3.553875 0.050084 3470.58 passed
solve 16×16 1024 4 pytorch python-loop not applicable 4.993708 0.059249 4876.67 passed
solve 32×32 1024 1 accelerate shared-session ProviderDefaultExclusive 9.196458 0.087313 8980.92 passed
solve 32×32 1024 1 faer shared-session Compatibility 10.556291 0.041875 10308.88 passed
solve 32×32 1024 1 pytorch python-loop not applicable 10.784667 0.109812 10531.90 passed
solve 32×32 1024 4 accelerate shared-session ProviderDefaultExclusive 9.192625 0.150375 8977.17 passed
solve 32×32 1024 4 faer shared-session Compatibility 10.550084 0.060187 10302.82 passed
solve 32×32 1024 4 pytorch python-loop not applicable 10.695709 0.167666 10445.03 passed