Decimal128 by Miguel

Python Benchmark Results

IEEE 754-2019 compliant decimal128 high-performance software solution created by Miguel.

Living document — as-measured results. Category codes, profiles, modes & method: Benchmark Key.

This is the Python view of decimal128 as-measured, band by band, with explicit ratios. It opens with the realistic financial-mix (P-fin) headline, then the per-operation band characterization (P-gen) and FMA. In Python, d128 is measured against its in-language idiom peer decimal.Decimal, falling back to the libbid universal reference where it cannot represent the band. It is data only — the categories, magnitude profiles, units, and methodology are defined in the Benchmark Key (and, authoritatively, BenchmarkMatrix.md). The cross-port d128 band-shape matrices (all ports, no alternatives) live in Port-Comparison Benchmark Results; the full index of per-language pages is on the Benchmarks hub.

Summary — Ratio Range by Operation

The ratio for Python’s idiom peer on x86_64 (Intel i9-9880H): ratio = decimal.Decimal / Miguel (> 1× ⇒ d128 faster), broken out by operation.

  Add Subtract Multiply Divide
ratio = decimal.Decimal / Miguel 3× 2.9× 1.9× – 3× 1.8× – 4×

FinMix — realistic financial mix (P-fin)

The headline: one realistic 64-bit financial operation mix — a MIX add/sub stream, mul CP/WP, div CD/WD/ET/PT — ratio = alt / Miguel (> 1 ⇒ d128 faster). This is the profile closest to real financial code.

arm64 (M3 Pro).

port op cat profile arch mode ns alt alt ns ratio run notes
python add MIX P-fin arm64 thru 21.39 decimal.Decimal 60.73 2.84× Rpysw2 compact idiom peer
python sub MIX P-fin arm64 thru 20.30 decimal.Decimal 62.53 3.08× Rpysw2 compact idiom peer
python mul CP P-fin arm64 thru 16.56 decimal.Decimal 62.70 3.79× Rpysw2 compact idiom peer
python mul WP P-fin arm64 thru 38.68 decimal.Decimal 67.60 1.75× Rpysw2 compact idiom peer
python div CD P-fin arm64 thru 55.59 decimal.Decimal 97.57 1.76× Rpysw2 compact idiom peer
python div WD P-fin arm64 thru 66.68 decimal.Decimal 100.36 1.51× Rpysw2 compact idiom peer
python div ET P-fin arm64 thru 21.73 decimal.Decimal 87.85 4.04× Rpysw2 compact idiom peer
python div PT P-fin arm64 thru 18.40 decimal.Decimal 86.40 4.70× Rpysw2 compact idiom peer

x86_64 (Intel i9-9880H).

port op cat profile arch mode ns alt alt ns ratio run notes
python add MIX P-fin x86_64 thru 47.90 decimal.Decimal 152.73 3.19× xRpysw2 compact idiom peer
python sub MIX P-fin x86_64 thru 55.29 decimal.Decimal 160.16 2.90× xRpysw2 compact idiom peer
python mul CP P-fin x86_64 thru 43.06 decimal.Decimal 146.85 3.41× xRpysw2 compact idiom peer
python mul WP P-fin x86_64 thru 83.45 decimal.Decimal 165.82 1.99× xRpysw2 compact idiom peer
python div CD P-fin x86_64 thru 116.99 decimal.Decimal 269.91 2.31× xRpysw2 compact idiom peer
python div WD P-fin x86_64 thru 146.88 decimal.Decimal 269.70 1.84× xRpysw2 compact idiom peer
python div ET P-fin x86_64 thru 60.27 decimal.Decimal 223.53 3.71× xRpysw2 compact idiom peer
python div PT P-fin x86_64 thru 54.88 decimal.Decimal 223.96 4.08× xRpysw2 compact idiom peer

Add — SQ · NQ · MQ · OQ · FQ

Swept 4096-input average per band (bare thru; ns/op = Time/4096 over the shared decimal128-resources/swept/ corpus, byte-identical operands every port). Relational peer table with explicit ratios; the cross-port d128 band-shape matrices are in Port-Comparison Benchmark Results.

arm64 (M3 Pro).

port op cat profile arch mode ours alt alt ns ratio run notes
python add SQss P-gen arm64 thru 16.24 decimal.Decimal 57.93 3.57× Rpysw2 compact idiom peer
python add SQos P-gen arm64 thru 17.76 decimal.Decimal 62.64 3.53× Rpysw2 compact idiom peer
python add NQss P-gen arm64 thru 19.19 decimal.Decimal 69.37 3.61× Rpysw2 compact idiom peer
python add NQos P-gen arm64 thru 19.53 decimal.Decimal 72.89 3.73× Rpysw2 compact idiom peer
python add MQss P-gen arm64 thru 21.25 decimal.Decimal 68.97 3.25× Rpysw2 compact idiom peer
python add MQos P-gen arm64 thru 29.40 decimal.Decimal 72.68 2.47× Rpysw2 compact idiom peer
python add OQss P-gen arm64 thru 37.80 decimal.Decimal 84.43 2.23× Rpysw2 compact idiom peer
python add OQos P-gen arm64 thru 39.87 decimal.Decimal 85.87 2.15× Rpysw2 compact idiom peer
python add FQss P-gen arm64 thru 31.21 decimal.Decimal 76.71 2.46× Rpysw2 compact idiom peer
python add FQos P-gen arm64 thru 29.96 decimal.Decimal 79.36 2.65× Rpysw2 compact idiom peer

x86_64 (Intel i9-9880H).

port op cat profile arch mode ours alt alt ns ratio run notes
python add SQss P-gen x86_64 thru 47.47 decimal.Decimal 142.30 3.00× xRpysw2 compact idiom peer
python add SQos P-gen x86_64 thru 45.53 decimal.Decimal 144.47 3.17× xRpysw2 compact idiom peer
python add NQss P-gen x86_64 thru 49.61 decimal.Decimal 174.90 3.53× xRpysw2 compact idiom peer
python add NQos P-gen x86_64 thru 51.11 decimal.Decimal 184.75 3.61× xRpysw2 compact idiom peer
python add MQss P-gen x86_64 thru 53.89 decimal.Decimal 176.98 3.28× xRpysw2 compact idiom peer
python add MQos P-gen x86_64 thru 67.98 decimal.Decimal 184.73 2.72× xRpysw2 compact idiom peer
python add OQss P-gen x86_64 thru 75.68 decimal.Decimal 212.33 2.81× xRpysw2 compact idiom peer
python add OQos P-gen x86_64 thru 84.52 decimal.Decimal 208.48 2.47× xRpysw2 compact idiom peer
python add FQss P-gen x86_64 thru 69.42 decimal.Decimal 195.28 2.81× xRpysw2 compact idiom peer
python add FQos P-gen x86_64 thru 77.41 decimal.Decimal 211.82 2.74× xRpysw2 compact idiom peer

Subtract — SQ · NQ · MQ · OQ · FQ

Swept 4096-input average per band (bare thru; ns/op = Time/4096 over the shared decimal128-resources/swept/ corpus, byte-identical operands every port). Relational peer table with explicit ratios; the cross-port d128 band-shape matrices are in Port-Comparison Benchmark Results.

arm64 (M3 Pro).

port op cat profile arch mode ours alt alt ns ratio run notes
python sub SQss P-gen arm64 thru 16.44 decimal.Decimal 60.91 3.70× Rpysw2 compact idiom peer
python sub SQos P-gen arm64 thru 16.05 decimal.Decimal 57.15 3.56× Rpysw2 compact idiom peer
python sub NQss P-gen arm64 thru 19.34 decimal.Decimal 72.94 3.77× Rpysw2 compact idiom peer
python sub NQos P-gen arm64 thru 18.91 decimal.Decimal 68.08 3.60× Rpysw2 compact idiom peer
python sub MQss P-gen arm64 thru 28.38 decimal.Decimal 73.15 2.58× Rpysw2 compact idiom peer
python sub MQos P-gen arm64 thru 20.76 decimal.Decimal 68.17 3.28× Rpysw2 compact idiom peer
python sub OQss P-gen arm64 thru 38.91 decimal.Decimal 85.33 2.19× Rpysw2 compact idiom peer
python sub OQos P-gen arm64 thru 36.73 decimal.Decimal 83.55 2.27× Rpysw2 compact idiom peer
python sub FQss P-gen arm64 thru 29.49 decimal.Decimal 79.68 2.70× Rpysw2 compact idiom peer
python sub FQos P-gen arm64 thru 30.99 decimal.Decimal 75.78 2.45× Rpysw2 compact idiom peer

x86_64 (Intel i9-9880H).

port op cat profile arch mode ours alt alt ns ratio run notes
python sub SQss P-gen x86_64 thru 44.05 decimal.Decimal 154.06 3.50× xRpysw2 compact idiom peer
python sub SQos P-gen x86_64 thru 42.70 decimal.Decimal 146.95 3.44× xRpysw2 compact idiom peer
python sub NQss P-gen x86_64 thru 53.96 decimal.Decimal 186.57 3.46× xRpysw2 compact idiom peer
python sub NQos P-gen x86_64 thru 51.33 decimal.Decimal 170.48 3.32× xRpysw2 compact idiom peer
python sub MQss P-gen x86_64 thru 68.96 decimal.Decimal 184.97 2.68× xRpysw2 compact idiom peer
python sub MQos P-gen x86_64 thru 59.49 decimal.Decimal 174.48 2.93× xRpysw2 compact idiom peer
python sub OQss P-gen x86_64 thru 83.41 decimal.Decimal 208.47 2.50× xRpysw2 compact idiom peer
python sub OQos P-gen x86_64 thru 84.04 decimal.Decimal 206.93 2.46× xRpysw2 compact idiom peer
python sub FQss P-gen x86_64 thru 73.58 decimal.Decimal 205.35 2.79× xRpysw2 compact idiom peer
python sub FQos P-gen x86_64 thru 64.67 decimal.Decimal 196.53 3.04× xRpysw2 compact idiom peer

Multiply — CP · WP · XP

Swept 4096-input average per band (bare thru; ns/op = Time/4096 over the shared decimal128-resources/swept/ corpus, byte-identical operands every port). Relational peer table with explicit ratios; the cross-port d128 band-shape matrices are in Port-Comparison Benchmark Results.

arm64 (M3 Pro).

port op cat profile arch mode ours alt alt ns ratio run notes
python mul CP P-gen arm64 thru 19.07 decimal.Decimal 63.14 3.31× Rpysw2 compact idiom peer
python mul WP P-gen arm64 thru 39.25 decimal.Decimal 73.30 1.87× Rpysw2 compact idiom peer
python mul XP P-gen arm64 thru 46.47 decimal.Decimal 91.74 1.97× Rpysw2 compact idiom peer

x86_64 (Intel i9-9880H).

port op cat profile arch mode ours alt alt ns ratio run notes
python mul CP P-gen x86_64 thru 46.00 decimal.Decimal 155.08 3.37× xRpysw2 compact idiom peer
python mul WP P-gen x86_64 thru 101.93 decimal.Decimal 181.19 1.78× xRpysw2 compact idiom peer
python mul XP P-gen x86_64 thru 104.05 decimal.Decimal 201.77 1.94× xRpysw2 compact idiom peer

Divide — CD · WD · XD (+ ET · PT)

Swept 4096-input average per band (bare thru; ns/op = Time/4096 over the shared decimal128-resources/swept/ corpus, byte-identical operands every port). Relational peer table with explicit ratios; the cross-port d128 band-shape matrices are in Port-Comparison Benchmark Results.

arm64 (M3 Pro).

port op cat profile arch mode ours alt alt ns ratio run notes
python div CD P-gen arm64 thru 56.20 decimal.Decimal 100.33 1.79× Rpysw2 compact idiom peer
python div WD P-gen arm64 thru 65.65 decimal.Decimal 103.99 1.58× Rpysw2 compact idiom peer
python div XD P-gen arm64 thru 63.05 decimal.Decimal 168.00 2.66× Rpysw2 compact idiom peer
python div ET P-gen arm64 thru 25.33 decimal.Decimal 93.95 3.71× Rpysw2 compact idiom peer
python div PT P-gen arm64 thru 18.52 decimal.Decimal 90.32 4.88× Rpysw2 compact idiom peer

x86_64 (Intel i9-9880H).

port op cat profile arch mode ours alt alt ns ratio run notes
python div CD P-gen x86_64 thru 127.35 decimal.Decimal 255.60 2.01× xRpysw2 compact idiom peer
python div WD P-gen x86_64 thru 134.79 decimal.Decimal 278.60 2.07× xRpysw2 compact idiom peer
python div XD P-gen x86_64 thru 129.18 decimal.Decimal 402.02 3.11× xRpysw2 compact idiom peer
python div ET P-gen x86_64 thru 70.18 decimal.Decimal 251.44 3.58× xRpysw2 compact idiom peer
python div PT P-gen x86_64 thru 50.32 decimal.Decimal 239.37 4.76× xRpysw2 compact idiom peer

FMA — FN (Barrett) · FF (fits-128)

Swept 4096-input average per band (bare thru; ns/op = Time/4096 over the shared decimal128-resources/swept/ corpus, byte-identical operands every port). Relational peer table with explicit ratios; the cross-port d128 band-shape matrices are in Port-Comparison Benchmark Results.

arm64 (M3 Pro).

port op cat profile arch mode ours alt alt ns ratio run notes
python fma FN FMA arm64 thru 110.01 decimal.Decimal 142.58 1.30× Rpysw2 compact idiom peer
python fma FF FMA arm64 thru 79.92 decimal.Decimal 164.27 2.06× Rpysw2 compact idiom peer

x86_64 (Intel i9-9880H).

port op cat profile arch mode ours alt alt ns ratio run notes
python fma FN FMA x86_64 thru 272.39 decimal.Decimal 366.67 1.35× xRpysw2 compact idiom peer
python fma FF FMA x86_64 thru 197.24 decimal.Decimal 413.29 2.10× xRpysw2 compact idiom peer