History — Trigonometry

How the trigonometric and hyperbolic functions have moved release over release. See the History overview for the time units, the width reference map, and how these timings are measured.

acos

Width	0.3.3	0.4.4	0.5.0
D18	·	26.9 µs (0.52×)	51.3 µs
D38	253 µs (3×)	32.3 µs (0.38×)	84.5 µs
D57	·	35.4 µs (2.3×)	15.5 µs
D76	76 µs (4.7×)	40.8 µs (2.5×)	16.3 µs
D115	·	71.3 µs (3.1×)	22.7 µs
D153	164 µs (5.8×)	85.6 µs (3×)	28.2 µs
D230	228 µs (7.9×)	108 µs (3.7×)	29.1 µs
D307	268 µs (8.7×)	121 µs (3.9×)	30.7 µs
D462	·	125 µs (3.5×)	36.1 µs
D616	·	186 µs (4.3×)	43.1 µs
D924	·	144 µs (4.6×)	31.6 µs
D1232	·	316 µs (4.8×)	65.8 µs

Median time vs width (log scale), one line per release with a shaded min–max band; the multiplier is the slowdown relative to the latest.

acosh

Width	0.3.3	0.4.4	0.5.0
D18	·	38.6 µs (0.99×)	39 µs
D38	438 µs (7.7×)	56.1 µs (0.99×)	56.8 µs
D57	·	128 µs (2.4×)	52.6 µs
D76	44.8 µs (0.82×)	143 µs (2.6×)	54.6 µs
D115	·	289 µs (2.5×)	115 µs
D153	93.4 µs (0.64×)	327 µs (2.2×)	146 µs
D230	237 µs (1.9×)	398 µs (3.1×)	127 µs
D307	271 µs (2.1×)	467 µs (3.6×)	130 µs
D462	·	437 µs (3.2×)	135 µs
D616	·	643 µs (4.3×)	151 µs
D924	·	500 µs (5.6×)	89.3 µs
D1232	·	1.18 ms (7.5×)	157 µs

Median time vs width (log scale), one line per release with a shaded min–max band; the multiplier is the slowdown relative to the latest.

asin

Width	0.3.3	0.4.4	0.5.0
D18	·	27.3 µs (0.51×)	54.1 µs
D38	283 µs (2.5×)	33.4 µs (0.29×)	114 µs
D57	·	36.1 µs (2.3×)	15.7 µs
D76	76.4 µs (4.7×)	41.6 µs (2.5×)	16.3 µs
D115	·	73.6 µs (3.2×)	22.9 µs
D153	166 µs (5.8×)	87.6 µs (3.1×)	28.5 µs
D230	231 µs (7.9×)	109 µs (3.7×)	29.3 µs
D307	273 µs (8.8×)	125 µs (4×)	31.1 µs
D462	·	128 µs (3.5×)	36.5 µs
D616	·	190 µs (4.3×)	43.8 µs
D924	·	148 µs (4.7×)	31.8 µs
D1232	·	328 µs (5×)	65 µs

Median time vs width (log scale), one line per release with a shaded min–max band; the multiplier is the slowdown relative to the latest.

asinh

Width	0.3.3	0.4.4	0.5.0
D18	·	34.6 µs (0.99×)	35.1 µs
D38	232 µs (5×)	46 µs (1×)	46.2 µs
D57	·	28.6 µs (2.8×)	10.1 µs
D76	46.8 µs (4.2×)	32.4 µs (2.9×)	11.1 µs
D115	·	70.5 µs (2.9×)	24.1 µs
D153	97.7 µs (3.5×)	76.7 µs (2.8×)	27.6 µs
D230	133 µs (4.7×)	92.1 µs (3.2×)	28.4 µs
D307	153 µs (5.1×)	114 µs (3.8×)	30.1 µs
D462	·	118 µs (3.3×)	35.6 µs
D616	·	178 µs (4.2×)	42.4 µs
D924	·	140 µs (4.5×)	31.1 µs
D1232	·	307 µs (4.6×)	67.4 µs

Median time vs width (log scale), one line per release with a shaded min–max band; the multiplier is the slowdown relative to the latest.

atan

Width	0.3.3	0.4.4	0.5.0
D18	·	24.7 µs (0.87×)	28.3 µs
D38	246 µs (3.1×)	31.6 µs (0.4×)	79.6 µs
D57	·	32.6 µs (2.4×)	13.6 µs
D76	67.9 µs (5×)	36.8 µs (2.7×)	13.6 µs
D115	·	68.6 µs (3.3×)	20.9 µs
D153	146 µs (5.7×)	72.5 µs (2.8×)	25.7 µs
D230	200 µs (7.6×)	91.2 µs (3.4×)	26.5 µs
D307	234 µs (8.2×)	105 µs (3.7×)	28.4 µs
D462	·	112 µs (4.1×)	27.5 µs
D616	·	168 µs (4.1×)	41.1 µs
D924	·	133 µs (4.4×)	30.5 µs
D1232	·	282 µs (4.2×)	68 µs

Median time vs width (log scale), one line per release with a shaded min–max band; the multiplier is the slowdown relative to the latest.

atan2

Width	0.3.3	0.4.4	0.5.0
D18	·	26.5 µs (0.49×)	54.1 µs
D38	252 µs (3×)	32.9 µs (0.39×)	84.7 µs
D57	·	36 µs (2.5×)	14.5 µs
D76	71.7 µs (4.7×)	41.5 µs (2.7×)	15.2 µs
D115	·	73.3 µs (3.4×)	21.5 µs
D153	154 µs (5.6×)	87.1 µs (3.2×)	27.6 µs
D230	212 µs (7.1×)	109 µs (3.7×)	29.8 µs
D307	250 µs (7.7×)	125 µs (3.8×)	32.6 µs
D462	·	128 µs (3×)	42.3 µs
D616	·	191 µs (3.6×)	52.6 µs
D924	·	149 µs (3.5×)	43 µs
D1232	·	328 µs (3.4×)	95.7 µs

Median time vs width (log scale), one line per release with a shaded min–max band; the multiplier is the slowdown relative to the latest.

atanh

Width	0.3.3	0.4.4	0.5.0
D18	·	9.77 µs (0.97×)	10.1 µs
D38	197 µs (13×)	14.2 µs (0.95×)	14.8 µs
D57	·	132 µs (2.5×)	52.2 µs
D76	48.7 µs (0.9×)	141 µs (2.6×)	54.2 µs
D115	·	289 µs (2.6×)	111 µs
D153	101 µs (0.72×)	322 µs (2.3×)	140 µs
D230	126 µs (1×)	395 µs (3.2×)	122 µs
D307	146 µs (1.2×)	460 µs (3.6×)	127 µs
D462	·	436 µs (3.3×)	131 µs
D616	·	631 µs (4.3×)	145 µs
D924	·	518 µs (5.7×)	91.1 µs
D1232	·	1.15 ms (7.2×)	159 µs

Median time vs width (log scale), one line per release with a shaded min–max band; the multiplier is the slowdown relative to the latest.

cos

Width	0.3.3	0.4.4	0.5.0
D18	·	6.04 µs (1×)	5.99 µs
D38	127 µs (14×)	8.86 µs (0.99×)	8.92 µs
D57	·	22.4 µs (3.6×)	6.26 µs
D76	34.3 µs (4.8×)	25.9 µs (3.6×)	7.17 µs
D115	·	48 µs (4.2×)	11.3 µs
D153	76.3 µs (5.7×)	57.6 µs (4.3×)	13.4 µs
D230	89.9 µs (6.4×)	68.5 µs (4.9×)	14 µs
D307	110 µs (7×)	77.6 µs (4.9×)	15.7 µs
D462	·	82.4 µs (4.5×)	18.5 µs
D616	·	119 µs (4.4×)	27.1 µs
D924	·	92.7 µs (4×)	23.1 µs
D1232	·	198 µs (3.9×)	50.7 µs

Median time vs width (log scale), one line per release with a shaded min–max band; the multiplier is the slowdown relative to the latest.

cosh

Width	0.3.3	0.4.4	0.5.0
D18	·	9.73 µs (0.99×)	9.8 µs
D38	347 µs (25×)	13.8 µs (0.98×)	14 µs
D57	·	265 µs (29×)	9.16 µs
D76	67.5 µs (6.3×)	280 µs (26×)	10.7 µs
D115	·	797 µs (27×)	29.7 µs
D153	140 µs (6.7×)	955 µs (46×)	20.7 µs
D230	184 µs (8.9×)	1.35 ms (66×)	20.6 µs
D307	222 µs (9.6×)	2.38 ms (1e+02×)	23 µs
D462	·	3.44 ms (1.2e+02×)	28.2 µs
D616	·	6 ms (1.7e+02×)	35.3 µs
D924	·	2.44 ms (88×)	27.8 µs
D1232	·	6.19 ms (95×)	64.9 µs

Median time vs width (log scale), one line per release with a shaded min–max band; the multiplier is the slowdown relative to the latest.

sin

Width	0.3.3	0.4.4	0.5.0
D18	·	6.12 µs (1×)	6.12 µs
D38	124 µs (14×)	8.79 µs (0.99×)	8.89 µs
D57	·	22.2 µs (3.6×)	6.18 µs
D76	34.3 µs (4.8×)	25.9 µs (3.6×)	7.13 µs
D115	·	49.4 µs (4.4×)	11.2 µs
D153	75.4 µs (5.7×)	55.3 µs (4.2×)	13.3 µs
D230	88 µs (6.3×)	67 µs (4.8×)	13.9 µs
D307	108 µs (6.9×)	80.2 µs (5.1×)	15.6 µs
D462	·	86.6 µs (4.7×)	18.4 µs
D616	·	121 µs (4.5×)	27.1 µs
D924	·	94.8 µs (4.1×)	23 µs
D1232	·	199 µs (3.9×)	50.3 µs

Median time vs width (log scale), one line per release with a shaded min–max band; the multiplier is the slowdown relative to the latest.

sinh

Width	0.3.3	0.4.4	0.5.0
D18	·	9.76 µs (0.99×)	9.83 µs
D38	336 µs (24×)	13.8 µs (0.99×)	14 µs
D57	·	262 µs (28×)	9.23 µs
D76	66.7 µs (6.2×)	277 µs (26×)	10.8 µs
D115	·	820 µs (27×)	30.2 µs
D153	140 µs (6.6×)	969 µs (46×)	21 µs
D230	183 µs (8.8×)	1.35 ms (65×)	20.9 µs
D307	222 µs (9.6×)	2.37 ms (1e+02×)	23.2 µs
D462	·	2.4 ms (84×)	28.7 µs
D616	·	5.85 ms (1.7e+02×)	35.3 µs
D924	·	4.28 ms (1.5e+02×)	28 µs
D1232	·	6.07 ms (92×)	65.7 µs

Median time vs width (log scale), one line per release with a shaded min–max band; the multiplier is the slowdown relative to the latest.

tan

Width	0.3.3	0.4.4	0.5.0
D18	·	11.2 µs (0.99×)	11.2 µs
D38	253 µs (16×)	16 µs (0.98×)	16.3 µs
D57	·	25.6 µs (3.2×)	8.06 µs
D76	43.2 µs (4.8×)	29.6 µs (3.3×)	8.95 µs
D115	·	55.6 µs (4.1×)	13.7 µs
D153	96.6 µs (6×)	66.1 µs (4.1×)	16.1 µs
D230	116 µs (6.9×)	76.8 µs (4.5×)	16.9 µs
D307	146 µs (7.9×)	92.6 µs (5×)	18.4 µs
D462	·	95 µs (4.6×)	20.7 µs
D616	·	139 µs (4.6×)	30.3 µs
D924	·	109 µs (4.4×)	24.7 µs
D1232	·	232 µs (4.1×)	56.2 µs

Median time vs width (log scale), one line per release with a shaded min–max band; the multiplier is the slowdown relative to the latest.

tanh

Width	0.3.3	0.4.4	0.5.0
D18	·	12.9 µs (1.3×)	9.83 µs
D38	342 µs (24×)	18.5 µs (1.3×)	14 µs
D57	·	288 µs (29×)	10 µs
D76	66.7 µs (6×)	298 µs (27×)	11.1 µs
D115	·	799 µs (27×)	29.2 µs
D153	139 µs (6.7×)	943 µs (45×)	20.8 µs
D230	187 µs (8.7×)	1.15 ms (54×)	21.4 µs
D307	227 µs (9.6×)	1.81 ms (77×)	23.7 µs
D462	·	1.8 ms (62×)	29.2 µs
D616	·	5.99 ms (1.7e+02×)	35.7 µs
D924	·	1.84 ms (66×)	27.9 µs
D1232	·	6.05 ms (93×)	65.1 µs

Median time vs width (log scale), one line per release with a shaded min–max band; the multiplier is the slowdown relative to the latest.