Performance — Arithmetic

Speed of the arithmetic operations by storage width and scale. See the Performance overview for the time units, the width reference map, and how these timings are measured.

add

Width	0	¼	½	¾	max
D18	0.646 ns	1.05 ns	1.05 ns	0.982 ns	0.906 ns
D38	1.61 ns	1.41 ns	0.947 ns	1.61 ns	1.81 ns
D57	2.27 ns	1.76 ns	2.5 ns	1.52 ns	3.31 ns
D76	3.1 ns	3.08 ns	3.09 ns	3.48 ns	2.71 ns
D115	4.39 ns	3.31 ns	3.88 ns	2.49 ns	4.39 ns
D153	5.14 ns	6.63 ns	5.9 ns	5.92 ns	6.63 ns
D230	15.3 ns	13.9 ns	13.8 ns	14.5 ns	11.6 ns
D307	18.7 ns	18.7 ns	19.6 ns	15.2 ns	18.7 ns
D462	29.3 ns	22.2 ns	32.8 ns	30.8 ns	33 ns
D616	61.4 ns	44.7 ns	36.1 ns	33.9 ns	45.4 ns
D924	73 ns	74.5 ns	74.8 ns	71.6 ns	75.9 ns
D1232	95.8 ns	95.2 ns	91.5 ns	95.6 ns	76.4 ns

Median time vs width (log scale). Solid: scale 0 and max; dashed: the intermediate band-edge scales.

div

Width	0	¼	½	¾	max
D18	3.98 ns	6.2 ns	6.2 ns	7.25 ns	6.02 ns
D38	9.98 ns	9.82 ns	9.29 ns	727 ns	1.06 µs
D57	38 ns	37.4 ns	73 ns	84.7 ns	108 ns
D76	39.9 ns	59.6 ns	76.7 ns	109 ns	111 ns
D115	56.1 ns	64.4 ns	86.3 ns	118 ns	235 ns
D153	55.4 ns	116 ns	144 ns	232 ns	337 ns
D230	110 ns	152 ns	228 ns	403 ns	443 ns
D307	133 ns	221 ns	404 ns	493 ns	878 ns
D462	217 ns	256 ns	723 ns	874 ns	1.36 µs
D616	326 ns	593 ns	668 ns	1.56 µs	2.21 µs
D924	379 ns	1.11 µs	2.08 µs	2.3 µs	4.34 µs
D1232	545 ns	1.76 µs	2.89 µs	4.37 µs	7.7 µs

Median time vs width (log scale). Solid: scale 0 and max; dashed: the intermediate band-edge scales.

mul

Width	0	¼	½	¾	max
D18	0.475 ns	3.06 ns	3.2 ns	3.64 ns	3.38 ns
D38	3.51 ns	10.6 ns	15.2 ns	25.6 ns	36.8 ns
D57	6.23 ns	17.2 ns	35.1 ns	54.2 ns	70.8 ns
D76	7.79 ns	35.1 ns	42.4 ns	83.6 ns	84.3 ns
D115	13.4 ns	34.4 ns	72.2 ns	125 ns	228 ns
D153	13.1 ns	56.4 ns	112 ns	237 ns	398 ns
D230	27.6 ns	123 ns	341 ns	534 ns	686 ns
D307	43.8 ns	172 ns	508 ns	844 ns	1.37 µs
D462	74.6 ns	252 ns	1.34 µs	1.3 µs	2.44 µs
D616	108 ns	656 ns	944 ns	2.34 µs	3.86 µs
D924	135 ns	1.48 µs	2.99 µs	4.22 µs	7.74 µs
D1232	177 ns	2.21 µs	4.2 µs	8.3 µs	13 µs

Median time vs width (log scale). Solid: scale 0 and max; dashed: the intermediate band-edge scales.

neg

Width	0	¼	½	¾	max
D18	0.266 ns	0.704 ns	0.703 ns	0.503 ns	0.289 ns
D38	1.41 ns	1.12 ns	0.93 ns	1.42 ns	1.45 ns
D57	1.87 ns	1.54 ns	1.74 ns	1.29 ns	1.87 ns
D76	2.19 ns	2.19 ns	2.19 ns	2.16 ns	2.04 ns
D115	2.83 ns	2.48 ns	2.46 ns	2.03 ns	3.28 ns
D153	3.27 ns	4.22 ns	4.3 ns	4.3 ns	4.6 ns
D230	6.66 ns	6 ns	7.17 ns	7.36 ns	4.45 ns
D307	10.9 ns	11.1 ns	12.4 ns	9.59 ns	11 ns
D462	15.1 ns	11.5 ns	17 ns	14.5 ns	15.1 ns
D616	23.7 ns	19.7 ns	13.5 ns	15.2 ns	19.8 ns
D924	54.9 ns	75.8 ns	76.7 ns	69.2 ns	76.5 ns
D1232	47.1 ns	61.4 ns	51.5 ns	62.3 ns	46.2 ns

Median time vs width (log scale). Solid: scale 0 and max; dashed: the intermediate band-edge scales.

rem

Width	0	¼	½	¾	max
D18	1.44 ns	2.11 ns	2.11 ns	2.8 ns	2.4 ns
D38	6.95 ns	6.51 ns	7.28 ns	13 ns	16.4 ns
D57	7.16 ns	5.08 ns	8.08 ns	3.83 ns	7.17 ns
D76	8.72 ns	8.71 ns	8.71 ns	9.68 ns	7.46 ns
D115	12.8 ns	9.01 ns	10.9 ns	6.77 ns	12.4 ns
D153	16.1 ns	20 ns	16.1 ns	16.3 ns	20 ns
D230	36.4 ns	32.1 ns	31.8 ns	32.8 ns	19.6 ns
D307	41.3 ns	40.2 ns	48 ns	37.1 ns	49.6 ns
D462	74.8 ns	43.5 ns	91.5 ns	56.3 ns	72.3 ns
D616	103 ns	80 ns	44.6 ns	70.5 ns	77.3 ns
D924	116 ns	102 ns	101 ns	89.8 ns	98.5 ns
D1232	140 ns	127 ns	97.4 ns	117 ns	80.1 ns

Median time vs width (log scale). Solid: scale 0 and max; dashed: the intermediate band-edge scales.

sub

Width	0	¼	½	¾	max
D18	0.642 ns	1.06 ns	1.06 ns	0.98 ns	0.908 ns
D38	1.62 ns	1.41 ns	0.944 ns	1.62 ns	1.81 ns
D57	2.26 ns	1.83 ns	2.5 ns	1.58 ns	3.29 ns
D76	3.1 ns	3.1 ns	3.1 ns	3.45 ns	2.68 ns
D115	4.89 ns	4.2 ns	4.31 ns	3.07 ns	4.88 ns
D153	6.57 ns	8.49 ns	7.63 ns	7.64 ns	8.49 ns
D230	17.6 ns	16.1 ns	16.1 ns	16.7 ns	12.9 ns
D307	23.5 ns	23.5 ns	25.2 ns	19.5 ns	23.5 ns
D462	37.1 ns	27.3 ns	41.9 ns	36.1 ns	41.4 ns
D616	62.7 ns	45.8 ns	35.9 ns	34 ns	45.8 ns
D924	72.2 ns	74.8 ns	74.9 ns	71.7 ns	77.6 ns
D1232	96.5 ns	95.9 ns	102 ns	101 ns	84.4 ns

Median time vs width (log scale). Solid: scale 0 and max; dashed: the intermediate band-edge scales.