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	0.938 ns	1.04 ns	0.935 ns	1.06 ns	0.936 ns
D38	1.61 ns	1.83 ns	1.62 ns	1.61 ns	1.82 ns
D57	2.25 ns	2.5 ns	2.5 ns	2.27 ns	2.25 ns
D76	3.08 ns	3.08 ns	3.49 ns	3.08 ns	3.09 ns
D115	4.98 ns	5 ns	4.99 ns	3.34 ns	4.41 ns
D153	4.47 ns	5.89 ns	6.66 ns	6.63 ns	5.89 ns
D230	13.8 ns	13.9 ns	13.9 ns	11.9 ns	13.9 ns
D307	18.5 ns	18.6 ns	19.6 ns	18.5 ns	14.5 ns
D462	58.3 ns	29.8 ns	32.7 ns	28.9 ns	29.2 ns
D616	45 ns	45.8 ns	49.6 ns	45.4 ns	52.2 ns
D924	86.5 ns	81.8 ns	98.4 ns	85.1 ns	85.7 ns
D1232	95 ns	107 ns	98.5 ns	95.4 ns	95.8 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	5.95 ns	6.07 ns	5.6 ns	9.9 ns	8.1 ns
D38	9.56 ns	12.4 ns	15.2 ns	726 ns	1.07 µs
D57	38.1 ns	52.2 ns	75.6 ns	101 ns	102 ns
D76	40.7 ns	60.4 ns	85.8 ns	104 ns	126 ns
D115	56.2 ns	84.5 ns	112 ns	164 ns	210 ns
D153	58.3 ns	107 ns	153 ns	239 ns	294 ns
D230	95.2 ns	153 ns	227 ns	325 ns	539 ns
D307	130 ns	221 ns	392 ns	577 ns	849 ns
D462	252 ns	399 ns	694 ns	997 ns	1.31 µs
D616	262 ns	601 ns	988 ns	1.74 µs	2.37 µs
D924	385 ns	1.1 µs	2.25 µs	2.75 µs	4.59 µs
D1232	501 ns	1.89 µs	3.47 µs	4.13 µs	7.09 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	2.82 ns	3.1 ns	5.02 ns	5.05 ns
D38	3.49 ns	13.7 ns	26.3 ns	26 ns	29.5 ns
D57	6.24 ns	24.3 ns	36 ns	71.5 ns	72.6 ns
D76	8.1 ns	34.1 ns	43.6 ns	79.8 ns	101 ns
D115	13.5 ns	55.9 ns	89.7 ns	180 ns	227 ns
D153	14.8 ns	54.6 ns	121 ns	259 ns	354 ns
D230	27.2 ns	122 ns	337 ns	446 ns	972 ns
D307	44.3 ns	166 ns	515 ns	1.02 µs	1.33 µs
D462	86.8 ns	405 ns	1.32 µs	1.72 µs	2.39 µs
D616	88.7 ns	672 ns	1.71 µs	2.69 µs	4.18 µs
D924	157 ns	1.47 µs	3.19 µs	5.41 µs	8.27 µs
D1232	191 ns	2.42 µs	4.6 µs	8.18 µs	12.8 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	0.346 ns	0.622 ns	0.703 ns	0.622 ns
D38	1.42 ns	1.45 ns	1.42 ns	1.42 ns	1.45 ns
D57	1.69 ns	1.74 ns	1.74 ns	1.69 ns	1.69 ns
D76	2.19 ns	2.19 ns	2.17 ns	2.18 ns	2.49 ns
D115	3.17 ns	3.16 ns	3.16 ns	2.81 ns	3.25 ns
D153	2.9 ns	3.79 ns	4.6 ns	4.6 ns	4.49 ns
D230	5.86 ns	5.86 ns	7.16 ns	5.61 ns	7.16 ns
D307	10.9 ns	11.1 ns	12.5 ns	11.1 ns	7.72 ns
D462	17.3 ns	15.3 ns	17 ns	14.9 ns	14.9 ns
D616	19.1 ns	20.5 ns	20.3 ns	20.2 ns	21.8 ns
D924	63.3 ns	81.8 ns	93.8 ns	84.7 ns	84.6 ns
D1232	47.2 ns	69.8 ns	61.9 ns	61.7 ns	61.8 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	1.73 ns	1.87 ns	2.46 ns	2.18 ns
D38	7.05 ns	7.87 ns	12.4 ns	13 ns	16.5 ns
D57	7.17 ns	8.1 ns	8.09 ns	7.17 ns	7.17 ns
D76	8.42 ns	8.73 ns	9.52 ns	8.43 ns	8.43 ns
D115	14.4 ns	14.1 ns	14.1 ns	9.18 ns	12.5 ns
D153	12.8 ns	15.8 ns	20 ns	20.1 ns	16.5 ns
D230	31.9 ns	32.2 ns	32.2 ns	27.9 ns	32.1 ns
D307	41.3 ns	40.2 ns	48.3 ns	43.2 ns	29.5 ns
D462	101 ns	76.9 ns	101 ns	72.4 ns	77.5 ns
D616	83.2 ns	83.4 ns	81.4 ns	77.8 ns	94.2 ns
D924	113 ns	116 ns	113 ns	102 ns	119 ns
D1232	133 ns	137 ns	138 ns	115 ns	111 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	0.935 ns	1.15 ns	0.934 ns	1.06 ns	0.937 ns
D38	1.6 ns	1.83 ns	1.62 ns	1.61 ns	1.82 ns
D57	2.25 ns	2.49 ns	2.5 ns	2.26 ns	2.25 ns
D76	3.08 ns	3.1 ns	3.46 ns	3.09 ns	3.09 ns
D115	5.55 ns	5.54 ns	5.53 ns	4.03 ns	4.84 ns
D153	6.36 ns	7.64 ns	8.44 ns	8.47 ns	7.65 ns
D230	16.2 ns	16.1 ns	16.1 ns	13.6 ns	16.2 ns
D307	23.2 ns	23.1 ns	24.9 ns	23.1 ns	18 ns
D462	62.5 ns	37.2 ns	43.2 ns	37.1 ns	37.2 ns
D616	44.4 ns	45.3 ns	50.6 ns	45.3 ns	49.3 ns
D924	84.9 ns	82.1 ns	98.7 ns	84.8 ns	85.7 ns
D1232	95.1 ns	107 ns	98.3 ns	95.1 ns	97.4 ns

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