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	1.25 ns	0.931 ns	1.06 ns	0.861 ns	0.819 ns
D38	1.82 ns	1.64 ns	1.61 ns	1.61 ns	1.18 ns
D57	2.28 ns	2.29 ns	2.28 ns	2.28 ns	2.9 ns
D76	3.48 ns	3.1 ns	3.09 ns	3.1 ns	3.08 ns
D115	3.46 ns	4.4 ns	4.4 ns	4.4 ns	2.85 ns
D153	5.9 ns	5.89 ns	5.9 ns	5.89 ns	3.85 ns
D230	15.4 ns	13.8 ns	13.8 ns	12.1 ns	13.8 ns
D307	18.7 ns	18.7 ns	18.7 ns	18.8 ns	18.7 ns
D462	26.5 ns	29.3 ns	28.7 ns	28.8 ns	29.4 ns
D616	71.5 ns	51.2 ns	45.5 ns	50.1 ns	46.3 ns
D924	83.3 ns	74.9 ns	75.6 ns	78.1 ns	85 ns
D1232	71 ns	95 ns	107 ns	95 ns	84.4 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	5.99 ns	3.9 ns	6.3 ns	6.07 ns	7.71 ns
D38	11.1 ns	11.3 ns	15.7 ns	727 ns	592 ns
D57	37.7 ns	49.2 ns	67.5 ns	101 ns	95.7 ns
D76	41.1 ns	60.7 ns	75.5 ns	105 ns	128 ns
D115	42.5 ns	81 ns	103 ns	168 ns	158 ns
D153	66.6 ns	106 ns	143 ns	220 ns	223 ns
D230	106 ns	153 ns	228 ns	367 ns	514 ns
D307	130 ns	219 ns	357 ns	556 ns	834 ns
D462	144 ns	405 ns	657 ns	1.02 µs	1.35 µs
D616	273 ns	649 ns	990 ns	1.5 µs	2.19 µs
D924	418 ns	1.09 µs	2.13 µs	2.62 µs	4.58 µs
D1232	397 ns	1.75 µs	3.75 µs	4.34 µs	6.91 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	0.885 ns	1.63 ns	3.21 ns	3.37 ns	3.85 ns
D38	3.94 ns	13.6 ns	26.4 ns	26.2 ns	20.4 ns
D57	6.25 ns	20.8 ns	32.9 ns	71.9 ns	71.2 ns
D76	5.71 ns	34.5 ns	42.3 ns	79.9 ns	101 ns
D115	12.7 ns	50.2 ns	85.4 ns	193 ns	175 ns
D153	18.7 ns	55 ns	112 ns	234 ns	258 ns
D230	27.8 ns	123 ns	337 ns	489 ns	828 ns
D307	43.8 ns	168 ns	458 ns	1.04 µs	1.35 µs
D462	46.4 ns	409 ns	1.28 µs	1.76 µs	2.47 µs
D616	104 ns	726 ns	1.71 µs	2.28 µs	3.77 µs
D924	135 ns	1.46 µs	2.94 µs	4.86 µs	8.28 µs
D1232	156 ns	2.19 µs	5.03 µs	7.97 µs	11.8 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	0.622 ns	0.259 ns	0.703 ns	0.279 ns	0.545 ns
D38	1.45 ns	1.32 ns	1.33 ns	1.32 ns	1.07 ns
D57	1.69 ns	1.68 ns	1.68 ns	1.68 ns	1.56 ns
D76	2.17 ns	2.09 ns	2.1 ns	2.1 ns	2.49 ns
D115	2.58 ns	2.84 ns	2.83 ns	3.28 ns	2.24 ns
D153	3.79 ns	3.79 ns	4.49 ns	4.49 ns	2.69 ns
D230	6.66 ns	5.86 ns	7.16 ns	5.22 ns	5.4 ns
D307	10.9 ns	11.1 ns	11.1 ns	11.1 ns	11 ns
D462	10.8 ns	15.6 ns	15.3 ns	15.5 ns	15.5 ns
D616	23.7 ns	21.9 ns	20.2 ns	17.8 ns	22.6 ns
D924	89.6 ns	75.8 ns	75.6 ns	75.8 ns	84.9 ns
D1232	32.7 ns	61.4 ns	69.8 ns	61.4 ns	57.1 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	1.87 ns	1.39 ns	2.11 ns	2.46 ns	1.91 ns
D38	8.44 ns	7.29 ns	12.2 ns	12.5 ns	7.66 ns
D57	7.17 ns	7.16 ns	7.17 ns	7.16 ns	6.44 ns
D76	9.71 ns	8.44 ns	8.45 ns	8.43 ns	8.51 ns
D115	9.43 ns	12.4 ns	12.4 ns	12.4 ns	7.29 ns
D153	17.1 ns	15.8 ns	16.1 ns	16.3 ns	9.64 ns
D230	36.7 ns	32.2 ns	31.8 ns	22.8 ns	23 ns
D307	41.3 ns	43.4 ns	42.9 ns	42.7 ns	42.5 ns
D462	48.5 ns	73.8 ns	73.3 ns	78.6 ns	71.1 ns
D616	106 ns	97 ns	82.3 ns	72.5 ns	77.8 ns
D924	142 ns	100 ns	101 ns	92.9 ns	104 ns
D1232	99.5 ns	127 ns	138 ns	122 ns	82.1 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	1.25 ns	0.923 ns	1.05 ns	0.86 ns	0.819 ns
D38	1.82 ns	1.63 ns	1.6 ns	1.61 ns	1.06 ns
D57	2.26 ns	2.25 ns	2.25 ns	2.25 ns	2.93 ns
D76	3.44 ns	3.09 ns	3.09 ns	3.09 ns	3.09 ns
D115	4.36 ns	4.84 ns	4.84 ns	4.85 ns	3.61 ns
D153	7.63 ns	7.62 ns	7.64 ns	7.64 ns	5.06 ns
D230	17.6 ns	16.2 ns	16.2 ns	13.6 ns	15.4 ns
D307	23.4 ns	23.4 ns	23.4 ns	23.4 ns	23.3 ns
D462	30.9 ns	37.1 ns	36.9 ns	37.2 ns	37.2 ns
D616	77.6 ns	49 ns	44.6 ns	50.1 ns	45.5 ns
D924	83.3 ns	74.9 ns	74.8 ns	77.6 ns	84.8 ns
D1232	77.9 ns	95.3 ns	106 ns	95.1 ns	93.7 ns

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