Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample5.1s (11.9%)

Results

2.5s	2238×	body	2048	valid
1.3s	4428×	body	256	valid
969.0ms	1070×	body	1024	valid
290.0ms	520×	body	512	valid

Bogosity

preprocess3.2s (7.5%)

Algorithm

2×	egg-herbie

Rules

12262×	`rational_best-simplify-47`
1172×	`rational_best-simplify-3`
326×	`rational_best-simplify-108`
10×	`trig-simplify-13`
8×	`rational_best-simplify-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	21	35
2	28	35
3	34	35
4	44	35
5	65	35
6	113	35
7	248	35
8	310	35
9	314	35
10	318	35
11	322	35
12	326	35
13	1077	35
14	1556	35
15	1560	35
16	1564	35
17	1568	35
18	1572	35
19	1576	35
20	1580	35
21	1584	35
22	1588	35
23	1592	35
24	1596	35
25	1600	35
26	1604	35
27	1608	35
28	1612	35
29	1616	35
30	1620	35
31	1624	35
32	1628	35
33	1632	35
34	1636	35
35	1640	35
36	1644	35
37	1648	35
38	1652	35
39	1656	35
40	1660	35
41	1664	35
42	1668	35
43	1672	35
44	1676	35
45	1680	35
46	1684	35
47	1688	35
48	1692	35
49	1696	35
50	1700	35
51	1704	35
52	1708	35
53	1712	35
54	1716	35
55	1720	35
56	1724	35
57	1728	35
58	1732	35
59	1736	35
60	1740	35
61	1744	35
62	1748	35
63	1752	35
64	1756	35
65	1760	35
66	1764	35
67	1768	35
68	1772	35
69	1776	35
70	1780	35
71	1784	35
72	1788	35
73	1792	35
74	1796	35
75	1800	35
76	1804	35
77	1808	35
78	1812	35
79	1816	35
80	1820	35
81	1824	35
82	1828	35
83	1832	35
84	1836	35
85	1840	35
86	1844	35
87	1848	35
88	1852	35
89	1856	35
90	1860	35
91	1864	35
92	1868	35
93	1872	35
94	1876	35
95	1880	35
96	1884	35
97	1888	35
98	1892	35
99	1896	35
100	1900	35
101	1904	35
102	1908	35
103	1912	35
104	1916	35
105	1920	35
106	1924	35
107	1928	35
108	1932	35
109	1936	35
110	1940	35
111	1944	35
112	1948	35
113	1952	35
114	1956	35
115	1960	35
116	1964	35
117	1968	35
118	1972	35
119	1976	35
120	1980	35
121	1984	35
122	1988	35
123	1992	35
124	1996	35
125	2000	35
126	2004	35
127	2008	35
128	2012	35
129	2016	35
130	2020	35
131	2024	35
132	2028	35
133	2032	35
134	2036	35
135	2040	35
136	2044	35
137	2048	35
138	2052	35
139	2056	35
140	2060	35
141	2064	35
142	2068	35
143	2072	35
144	2076	35
145	2080	35
146	2084	35
147	2088	35
148	2092	35
149	2096	35
150	2100	35
151	2104	35
152	2108	35
153	2112	35
154	2116	35
155	2120	35
156	2124	35
157	2128	35
158	2132	35
159	2136	35
160	2140	35
161	2144	35
162	2148	35
163	2152	35
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Outputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify3.8s (8.8%)

Algorithm

1×	egg-herbie

Rules

12262×	`rational_best-simplify-47`
1172×	`rational_best-simplify-3`
326×	`rational_best-simplify-108`
10×	`trig-simplify-13`
8×	`rational_best-simplify-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	21	35
2	28	35
3	34	35
4	44	35
5	65	35
6	113	35
7	248	35
8	310	35
9	314	35
10	318	35
11	322	35
12	326	35
13	1077	35
14	1556	35
15	1560	35
16	1564	35
17	1568	35
18	1572	35
19	1576	35
20	1580	35
21	1584	35
22	1588	35
23	1592	35
24	1596	35
25	1600	35
26	1604	35
27	1608	35
28	1612	35
29	1616	35
30	1620	35
31	1624	35
32	1628	35
33	1632	35
34	1636	35
35	1640	35
36	1644	35
37	1648	35
38	1652	35
39	1656	35
40	1660	35
41	1664	35
42	1668	35
43	1672	35
44	1676	35
45	1680	35
46	1684	35
47	1688	35
48	1692	35
49	1696	35
50	1700	35
51	1704	35
52	1708	35
53	1712	35
54	1716	35
55	1720	35
56	1724	35
57	1728	35
58	1732	35
59	1736	35
60	1740	35
61	1744	35
62	1748	35
63	1752	35
64	1756	35
65	1760	35
66	1764	35
67	1768	35
68	1772	35
69	1776	35
70	1780	35
71	1784	35
72	1788	35
73	1792	35
74	1796	35
75	1800	35
76	1804	35
77	1808	35
78	1812	35
79	1816	35
80	1820	35
81	1824	35
82	1828	35
83	1832	35
84	1836	35
85	1840	35
86	1844	35
87	1848	35
88	1852	35
89	1856	35
90	1860	35
91	1864	35
92	1868	35
93	1872	35
94	1876	35
95	1880	35
96	1884	35
97	1888	35
98	1892	35
99	1896	35
100	1900	35
101	1904	35
102	1908	35
103	1912	35
104	1916	35
105	1920	35
106	1924	35
107	1928	35
108	1932	35
109	1936	35
110	1940	35
111	1944	35
112	1948	35
113	1952	35
114	1956	35
115	1960	35
116	1964	35
117	1968	35
118	1972	35
119	1976	35
120	1980	35
121	1984	35
122	1988	35
123	1992	35
124	1996	35
125	2000	35
126	2004	35
127	2008	35
128	2012	35
129	2016	35
130	2020	35
131	2024	35
132	2028	35
133	2032	35
134	2036	35
135	2040	35
136	2044	35
137	2048	35
138	2052	35
139	2056	35
140	2060	35
141	2064	35
142	2068	35
143	2072	35
144	2076	35
145	2080	35
146	2084	35
147	2088	35
148	2092	35
149	2096	35
150	2100	35
151	2104	35
152	2108	35
153	2112	35
154	2116	35
155	2120	35
156	2124	35
157	2128	35
158	2132	35
159	2136	35
160	2140	35
161	2144	35
162	2148	35
163	2152	35

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Outputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

eval1.0ms (0%)

Compiler: Compiled 13 to 12 computations (7.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

14.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.8b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Compiler

Compiled 13 to 12 computations (7.7% saved)

localize41.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
✓	0.0b	(/.f64 1 (hypot.f64 1 x))
✓	1.6b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Compiler

Compiled 50 to 43 computations (14% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
1.0ms	x	@	inf	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
0.0ms	x	@	-inf	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
0.0ms	x	@	-inf	(/.f64 1 (hypot.f64 1 x))
0.0ms	x	@	inf	(/.f64 1 (hypot.f64 1 x))

rewrite381.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`rational_best-simplify-1`
580×	`rational_best-simplify-83`
570×	`rational_best-simplify-47`
542×	`rational_best-simplify-48`
508×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	82	67
2	164	67
3	398	61
4	1329	61
5	7380	61

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 1 (hypot.f64 1 x))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (/.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2) (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (/.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) (neg.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (/.f64 (+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) -1) (+.f64 1 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))))) 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (hypot.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) (/.f64 0 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) (+.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (/.f64 -1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 -1 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 (+.f64 -1 (+.f64 -1 (/.f64 -1 (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 (+.f64 -2 (/.f64 -1 (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) (+.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))) (neg.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) (neg.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 3) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) (-.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) (/.f64 (neg.f64 (*.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/2 (hypot.f64 1 x))) (neg.f64 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 3) 4) (neg.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) (/.f64 1/2 (hypot.f64 1 x))) (-.f64 -1/2 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (/.f64 -1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (/.f64 1 (hypot.f64 1 x)) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (/.f64 (+.f64 -3/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (/.f64 1 (hypot.f64 1 x)) (+.f64 1 (/.f64 2 (hypot.f64 1 x)))) 4) (/.f64 (+.f64 -3 (/.f64 -1 (hypot.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (hypot.f64 1 x)) (*.f64 1/2 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (hypot.f64 1 x)) (+.f64 1/2 (/.f64 (hypot.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 1/2 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1/4 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (/.f64 2 (hypot.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (hypot.f64 1 x)) (*.f64 4 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 4 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 -1 (hypot.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (hypot.f64 1 x)) (+.f64 1/4 (/.f64 (hypot.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (hypot.f64 1 x)) (*.f64 2 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 (*.f64 (hypot.f64 1 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 (+.f64 1 (hypot.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 1 (hypot.f64 1 x))) (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 1 (hypot.f64 1 x))) (/.f64 1/4 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 1 (hypot.f64 1 x))) (/.f64 2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 (hypot.f64 1 x) 2)) (/.f64 2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/4 (/.f64 (hypot.f64 1 x) 4)) (/.f64 4 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/4 (hypot.f64 1 x)) 2) (*.f64 (+.f64 1 (hypot.f64 1 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (hypot.f64 1 x) 2) -2) (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (hypot.f64 1 x) 2) -2) (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x)))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (hypot.f64 1 x)) (/.f64 (+.f64 1 (hypot.f64 1 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 (+.f64 1 (hypot.f64 1 x)) (*.f64 4 (*.f64 (hypot.f64 1 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) (-.f64 (*.f64 (hypot.f64 1 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1/4 (hypot.f64 1 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 4 (hypot.f64 1 x))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) 8) (/.f64 (/.f64 1/4 (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) 1/2) (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) 8) (/.f64 8 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) (*.f64 4 (*.f64 (hypot.f64 1 x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (/.f64 2 (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (hypot.f64 1 x)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 -1 (hypot.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 1 (hypot.f64 1 x))) (*.f64 (hypot.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 1 (hypot.f64 1 x))) (*.f64 (hypot.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (hypot.f64 1 x) 2) -2) (*.f64 (hypot.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 4 (hypot.f64 1 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) 1/2) (*.f64 (hypot.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x)))) (*.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (/.f64 -1 (hypot.f64 1 x))))))))

simplify406.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1214×	`rational_best-simplify-50`
1156×	`rational_best-simplify-55`
1148×	`rational_best-simplify-65`
776×	`rational_best-simplify-3`
696×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	439	6393
1	1097	6191
2	2733	6005

Stop Event

1×	node limit

Counts

213 → 308

Calls

Call 1

Inputs
(-.f64 1 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) 1) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (+.f64 1 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4))) (sqrt.f64 2))))) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))) 5/16) (pow.f64 x 6))) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4))) (sqrt.f64 2)))))) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (*.f64 3/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (sqrt.f64 1/2))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2))
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(.f64 (.f64 1/2 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)
(.f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))) (/.f64 2 (hypot.f64 1 x)))
(*.f64 (+.f64 1/2 (/.f64 (hypot.f64 1 x) 2)) (/.f64 2 (hypot.f64 1 x)))
(*.f64 (+.f64 1/4 (/.f64 (hypot.f64 1 x) 4)) (/.f64 4 (hypot.f64 1 x)))
(.f64 (/.f64 (/.f64 1/4 (hypot.f64 1 x)) 2) (.f64 (+.f64 1 (hypot.f64 1 x)) 8))
(.f64 1/8 (.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x)))))
(.f64 (-.f64 (.f64 (hypot.f64 1 x) 2) -2) (/.f64 1/2 (hypot.f64 1 x)))
(.f64 (-.f64 (.f64 (hypot.f64 1 x) 2) -2) (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))))
(.f64 (.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x)))) 1/8)
(*.f64 (/.f64 8 (hypot.f64 1 x)) (/.f64 (+.f64 1 (hypot.f64 1 x)) 8))
(.f64 16 (/.f64 (+.f64 1 (hypot.f64 1 x)) (.f64 4 (*.f64 (hypot.f64 1 x) 4))))
(*.f64 (/.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 8) 8)
(.f64 (.f64 1/2 (/.f64 1 (hypot.f64 1 x))) (-.f64 (*.f64 (hypot.f64 1 x) 2) -2))
(.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1/4 (hypot.f64 1 x))) 4)
(.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 4 (hypot.f64 1 x))) 1/4)
(.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 8) (/.f64 (/.f64 1/4 (hypot.f64 1 x)) 2))
(.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x))) 2)
(*.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) 1/2) (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) 8) (/.f64 8 (hypot.f64 1 x)))
(.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) (.f64 4 (*.f64 (hypot.f64 1 x) 4))) 16)
(/.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)
(/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(/.f64 (+.f64 2 (/.f64 2 (hypot.f64 1 x))) 2)
(/.f64 (+.f64 1 (hypot.f64 1 x)) (hypot.f64 1 x))
(/.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x))) -1/2)
(/.f64 (+.f64 -1 (/.f64 -1 (hypot.f64 1 x))) -1)
(/.f64 (*.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 4) 4)
(/.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) 1/4)
(/.f64 (.f64 2 (+.f64 1 (hypot.f64 1 x))) (.f64 (hypot.f64 1 x) 2))
(/.f64 (.f64 4 (+.f64 1 (hypot.f64 1 x))) (.f64 (hypot.f64 1 x) 4))
(/.f64 (-.f64 (.f64 (hypot.f64 1 x) 2) -2) (.f64 (hypot.f64 1 x) 2))
(/.f64 (*.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x)))) 8)
(/.f64 (-.f64 -1 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 4 (hypot.f64 1 x))) 4)
(/.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) 1/2) (*.f64 (hypot.f64 1 x) 2))
(/.f64 (neg.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2)
(/.f64 (+.f64 (.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x)))) (.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))) 16)
(pow.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)
(neg.f64 (+.f64 -1 (/.f64 -1 (hypot.f64 1 x))))

Outputs
(-.f64 1 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))
0
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) 1) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (/.f64 1/4 (sqrt.f64 2)))) 1)
(-.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) 0)
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) (/.f64 1/4 (sqrt.f64 2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (+.f64 1 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4))) (sqrt.f64 2))))) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 (.f64 (pow.f64 x 4) (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (sqrt.f64 1/2))) (/.f64 -1/2 (sqrt.f64 2))) (+.f64 1 (.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (/.f64 1/4 (sqrt.f64 2))))) 1)
(+.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (*.f64 (pow.f64 x 4) (sqrt.f64 1/2))) (sqrt.f64 2))))) -1)
(+.f64 (+.f64 (+.f64 1 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) (/.f64 1/4 (sqrt.f64 2))))) (.f64 (pow.f64 x 4) (.f64 (*.f64 (sqrt.f64 1/2) (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2))) (/.f64 -1/2 (sqrt.f64 2))))) -1)
(-.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (+.f64 1 (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))) 5/16) (pow.f64 x 6))) (sqrt.f64 2))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4))) (sqrt.f64 2)))))) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (/.f64 1/4 (sqrt.f64 2))) (+.f64 (.f64 (.f64 (pow.f64 x 4) (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (sqrt.f64 1/2))) (/.f64 -1/2 (sqrt.f64 2))) (+.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (*.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) -1/8) 5/16) (pow.f64 x 6))) (/.f64 1/2 (sqrt.f64 2))) 1))) 1)
(+.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (.f64 (pow.f64 x 4) (sqrt.f64 1/2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) -1/8) 5/16) (*.f64 (pow.f64 x 6) (sqrt.f64 1/2))) (sqrt.f64 2)))))) -1)
(+.f64 (+.f64 1 (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) (/.f64 1/4 (sqrt.f64 2)))) (+.f64 (.f64 (pow.f64 x 4) (.f64 (.f64 (sqrt.f64 1/2) (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2))) (/.f64 -1/2 (sqrt.f64 2)))) (.f64 (.f64 (+.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) -1/8) 5/16) (*.f64 (sqrt.f64 1/2) (pow.f64 x 6))) (/.f64 1/2 (sqrt.f64 2)))))) -1)
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 -1/2 x))) (sqrt.f64 1/2))
(-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)) (+.f64 (sqrt.f64 1/2) -1))
(+.f64 (-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)) (sqrt.f64 1/2)) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)) (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)) (+.f64 1 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))))) (sqrt.f64 1/2))
(-.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 2)))) (+.f64 (sqrt.f64 1/2) -1))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (*.f64 3/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))) (.f64 (sqrt.f64 1/2) (/.f64 3/16 (pow.f64 x 3)))) (+.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)) (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))) (*.f64 (sqrt.f64 1/2) (/.f64 3/16 (pow.f64 x 3)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))) (.f64 (sqrt.f64 1/2) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 -1/2 x)))) (+.f64 (sqrt.f64 1/2) -1))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2))
(-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x)) (+.f64 (sqrt.f64 1/2) -1))
(+.f64 (-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 x)) (sqrt.f64 1/2)) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))) (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)) (+.f64 1 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))))) (sqrt.f64 1/2))
(-.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/8 (pow.f64 x 2)) (/.f64 1/2 x))) (+.f64 (sqrt.f64 1/2) -1))
(-.f64 (+.f64 (.f64 -3/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))) (.f64 1/2 (/.f64 (sqrt.f64 1/2) x))) (+.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 -3/16 (pow.f64 x 3))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)) (+.f64 1 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))))) (*.f64 (sqrt.f64 1/2) (/.f64 -3/16 (pow.f64 x 3)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/8 (pow.f64 x 2)) (/.f64 1/2 x))) (.f64 (sqrt.f64 1/2) (/.f64 -3/16 (pow.f64 x 3))))) (sqrt.f64 1/2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 3/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 3/8 (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 1 (.f64 3/8 (pow.f64 x 4))))
(+.f64 (.f64 -5/16 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 3/8 (pow.f64 x 4))) (+.f64 1 (*.f64 (pow.f64 x 6) -5/16)))
(+.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/2)) (+.f64 (.f64 3/8 (pow.f64 x 4)) (*.f64 (pow.f64 x 6) -5/16)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 x) (*.f64 1 (/.f64 1/2 (pow.f64 x 3))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 1 (/.f64 3/8 (pow.f64 x 5)))) (.f64 1 (/.f64 1/2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))) (/.f64 1/2 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 1 (/.f64 3/8 (pow.f64 x 5)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 x 3))) (*.f64 1 (/.f64 5/16 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 1 (/.f64 3/8 (pow.f64 x 5)))) (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 x 3))) (*.f64 5/16 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 5/16 (pow.f64 x 7))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (*.f64 1 (/.f64 1/2 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (.f64 1 (/.f64 1/2 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 1 (/.f64 3/8 (pow.f64 x 5)))))
(-.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 x 3))) (.f64 1 (/.f64 5/16 (pow.f64 x 7)))) (+.f64 (/.f64 1 x) (*.f64 1 (/.f64 3/8 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 x 3))) (.f64 5/16 (/.f64 1 (pow.f64 x 7)))) (+.f64 (/.f64 1 x) (*.f64 1 (/.f64 3/8 (pow.f64 x 5)))))
(-.f64 (/.f64 1/2 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))) (/.f64 5/16 (pow.f64 x 7))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) -1/2))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 3/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 3/8 (pow.f64 x 4))))
(+.f64 (.f64 3/8 (pow.f64 x 4)) (+.f64 2 (.f64 (pow.f64 x 2) -1/2)))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 2 (.f64 3/8 (pow.f64 x 4))))
(+.f64 (.f64 -5/16 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 3/8 (pow.f64 x 4))) (+.f64 2 (*.f64 (pow.f64 x 6) -5/16)))
1
(+.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 1 (/.f64 1/2 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1/2 (pow.f64 x 3)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5))))) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1 (/.f64 3/8 (pow.f64 x 5))) (+.f64 1 (/.f64 1 x))) (.f64 1 (/.f64 1/2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))) (+.f64 (/.f64 1/2 (pow.f64 x 3)) -1))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 1 (/.f64 1/2 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (*.f64 1 (/.f64 1/2 (pow.f64 x 3))) (+.f64 (/.f64 1 x) -1))
(-.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
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(-.f64 (.f64 1 (/.f64 1/2 (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 1 x) (.f64 1 (/.f64 3/8 (pow.f64 x 5)))) -1))
(-.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) -1) (/.f64 3/8 (pow.f64 x 5))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 2))
(+.f64 1/2 (+.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2)))
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(+.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))
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(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
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(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 4) 4)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) 1/4)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(/.f64 (.f64 2 (+.f64 1 (hypot.f64 1 x))) (.f64 (hypot.f64 1 x) 2))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(/.f64 (.f64 4 (+.f64 1 (hypot.f64 1 x))) (.f64 (hypot.f64 1 x) 4))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(/.f64 (-.f64 (.f64 (hypot.f64 1 x) 2) -2) (.f64 (hypot.f64 1 x) 2))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x)))) 8)
(/.f64 (-.f64 -1 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 4 (hypot.f64 1 x))) 4)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(/.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) 1/2) (*.f64 (hypot.f64 1 x) 2))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 (.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x)))) (.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))) 16)
(/.f64 (*.f64 4 (+.f64 2 (/.f64 2 (hypot.f64 1 x)))) 8)
(pow.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(neg.f64 (+.f64 -1 (/.f64 -1 (hypot.f64 1 x))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))

eval441.0ms (1%)

Compiler: Compiled 6333 to 5765 computations (9% saved)

prune182.0ms (0.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	299	9	308
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	300	9	309

Error

0.2b

Counts

309 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.7b	(-.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) 0)
	14.8b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
▶	31.4b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
	31.7b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
▶	31.0b	(-.f64 1 (sqrt.f64 1/2))
▶	14.3b	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
▶	14.8b	(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
	32.7b	(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) (/.f64 1/4 (sqrt.f64 2))))
	46.8b	0

Compiler

Compiled 204 to 188 computations (7.8% saved)

localize120.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
✓	0.0b	(/.f64 1/2 (hypot.f64 1 x))
✓	0.0b	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1)
✓	1.1b	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))

Compiler

Compiled 73 to 64 computations (12.3% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
1.0ms	x	@	0	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
1.0ms	x	@	-inf	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
0.0ms	x	@	inf	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1)
0.0ms	x	@	-inf	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1)

rewrite407.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`rational_best-simplify-51`
842×	`rational_best-simplify-57`
706×	`rational_best-4`
706×	`rational_best-2`
706×	`rational_best-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	136
1	99	130
2	206	108
3	524	100
4	1983	96
5	7799	96

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

Inputs
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1)
(/.f64 1/2 (hypot.f64 1 x))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (+.f64 -1 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4) (+.f64 -1 (.f64 3 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4) (-.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -1/4) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -1/4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4)) (.f64 3 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (+.f64 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4)) (+.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4)) (+.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -3/2)) 2) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -8) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 8) (+.f64 -1 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -8) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (-.f64 (+.f64 -1 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 -2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 -2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 -2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 4) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 -2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)) 4) (.f64 (.f64 -2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (.f64 2 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (neg.f64 (.f64 2 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 4) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (+.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4)) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -8) (-.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -8) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -8) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (-.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 4) (.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (*.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (hypot.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (hypot.f64 1 x)) (/.f64 1/4 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (hypot.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (hypot.f64 1 x)) (neg.f64 (/.f64 1/4 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1/4 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1/8 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (hypot.f64 1 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 1/2 (.f64 (.f64 (hypot.f64 1 x) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 1 (.f64 (.f64 (hypot.f64 1 x) 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/8 (hypot.f64 1 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (hypot.f64 1 x)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) (-.f64 -1/4 (/.f64 1/4 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1/4 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 1 x)) (.f64 1/2 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 (+.f64 1 (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1/8 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (hypot.f64 1 x)) (/.f64 (+.f64 1 (hypot.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (hypot.f64 1 x)) (.f64 2 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (hypot.f64 1 x)) (/.f64 (+.f64 1 (hypot.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (/.f64 2 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (.f64 2 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))) (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 1 (hypot.f64 1 x))) (/.f64 1/4 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 (+.f64 1 (hypot.f64 1 x)) (.f64 (.f64 (hypot.f64 1 x) 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/8 (hypot.f64 1 x)) (.f64 4 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) 2) (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) 4) (/.f64 2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (hypot.f64 1 x) 2) -2) (/.f64 1/4 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (hypot.f64 1 x) 2) -2) (.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (hypot.f64 1 x)) (/.f64 (+.f64 1 (hypot.f64 1 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (hypot.f64 1 x)) (.f64 (hypot.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 1 (hypot.f64 1 x))) (.f64 (hypot.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) 2) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (hypot.f64 1 x) 2) -2) (.f64 (hypot.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (hypot.f64 1 x)) (.f64 (hypot.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (+.f64 1 (hypot.f64 1 x))) (.f64 (.f64 (hypot.f64 1 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 2 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) 1/2) (.f64 (hypot.f64 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) -2) (neg.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4)) (.f64 2 (*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)))))

simplify386.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

864×	`rational_best-simplify-108`
800×	`rational_best-simplify-55`
782×	`rational_best-simplify-47`
708×	`rational_best-simplify-49`
698×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	6472
1	1048	6436
2	2492	5970

Stop Event

1×	node limit

Counts

190 → 299

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (.f64 -1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2)))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (.f64 -1 (sqrt.f64 1/2))))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (*.f64 -1 (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 1/2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2))))))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -11/256 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (+.f64 (.f64 69/2048 (pow.f64 x 6)) (*.f64 -11/256 (pow.f64 x 4)))))
(+.f64 1 (*.f64 -1/2 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (.f64 -1/2 (sqrt.f64 1/2))) (.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (sqrt.f64 1/2))))) (.f64 1/8 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(+.f64 1 (*.f64 -1/2 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (*.f64 -1/2 (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1/2 (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (sqrt.f64 1/2))))))
1/2
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(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4)) (.f64 2 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4))) 16)
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)

Outputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 1/8 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -1843/32768 (pow.f64 x 8)))))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (.f64 -1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (.f64 -1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (*.f64 2 (/.f64 (/.f64 1/8 (sqrt.f64 1/2)) x)) -1))
(+.f64 (-.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2)))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))))) (*.f64 1/4 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 (/.f64 1/64 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 1 (neg.f64 (sqrt.f64 1/2)))) (.f64 2 (/.f64 (/.f64 1/8 (sqrt.f64 1/2)) x)))
(-.f64 (-.f64 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (+.f64 -1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (.f64 -1 (sqrt.f64 1/2))))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3)))) (+.f64 (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) 1)) (.f64 1/4 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3))) (+.f64 (neg.f64 (sqrt.f64 1/2)) (.f64 2 (/.f64 (/.f64 1/64 (sqrt.f64 1/8)) (pow.f64 x 2)))))) (*.f64 2 (/.f64 (/.f64 1/8 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3))) (-.f64 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (+.f64 -1 (sqrt.f64 1/2)))) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (*.f64 -1 (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 1/4 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x))))
(+.f64 1 (+.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 2 (/.f64 (/.f64 1/8 (sqrt.f64 1/2)) x))))
(-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (+.f64 (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) (*.f64 1/4 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)))))
(+.f64 (.f64 2 (/.f64 (/.f64 1/8 (sqrt.f64 1/2)) x)) (+.f64 (.f64 2 (/.f64 (/.f64 1/64 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 1 (neg.f64 (sqrt.f64 1/2)))))
(+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (-.f64 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (+.f64 -1 (sqrt.f64 1/2))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2))))))
(+.f64 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (+.f64 (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) (.f64 1/4 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)))) (+.f64 1 (.f64 1/2 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 2 (/.f64 (/.f64 1/8 (sqrt.f64 1/2)) x)) (+.f64 (.f64 2 (/.f64 (/.f64 1/64 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 1 (neg.f64 (sqrt.f64 1/2))))) (*.f64 1/2 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (+.f64 -1 (sqrt.f64 1/2))) (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3)))))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) 1/16))
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (.f64 -11/256 (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 x 4) -11/256) (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16)))
(+.f64 (.f64 (pow.f64 x 2) 1/16) (+.f64 (.f64 (pow.f64 x 4) -11/256) 1/2))
(+.f64 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16)) (.f64 (pow.f64 x 4) -11/256))
(+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (+.f64 (.f64 69/2048 (pow.f64 x 6)) (*.f64 -11/256 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 4) -11/256) (.f64 (pow.f64 x 6) 69/2048)) (+.f64 1/2 (*.f64 (pow.f64 x 2) 1/16)))
(+.f64 (.f64 (pow.f64 x 2) 1/16) (+.f64 1/2 (+.f64 (.f64 (pow.f64 x 4) -11/256) (*.f64 (pow.f64 x 6) 69/2048))))
(+.f64 (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16)) (+.f64 (.f64 (pow.f64 x 4) -11/256) (*.f64 (pow.f64 x 6) 69/2048)))
(+.f64 1 (*.f64 -1/2 (sqrt.f64 1/2)))
(+.f64 1 (*.f64 (sqrt.f64 1/2) -1/2))
(-.f64 (+.f64 1 (.f64 -1/2 (sqrt.f64 1/2))) (.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 1/2) -1/2)) (.f64 1/8 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (.f64 (sqrt.f64 1/2) -1/2) (+.f64 (.f64 1/8 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)) -1))
(+.f64 (-.f64 (.f64 (sqrt.f64 1/2) -1/2) (/.f64 1/8 (.f64 x (sqrt.f64 1/2)))) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 (sqrt.f64 1/2) -1/2) (.f64 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2)) 1/64))) (*.f64 1/8 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (.f64 1 (/.f64 (/.f64 1/64 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 1 (.f64 (sqrt.f64 1/2) -1/2))) (*.f64 1/8 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (.f64 (sqrt.f64 1/2) -1/2) (/.f64 (/.f64 1/64 (pow.f64 x 2)) (sqrt.f64 1/8))) (+.f64 -1 (/.f64 1/8 (.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (sqrt.f64 1/2))))) (.f64 1/8 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 (sqrt.f64 1/2) -1/2) (+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2)) 1/64) (.f64 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3)) -1/4)))) (.f64 1/8 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (.f64 -3/16 (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) (pow.f64 x 3))) (+.f64 (.f64 1 (/.f64 (/.f64 1/64 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 1 (.f64 (sqrt.f64 1/2) -1/2)))) (.f64 1/8 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (.f64 (sqrt.f64 1/2) -1/2) (+.f64 (/.f64 (/.f64 1/64 (pow.f64 x 2)) (sqrt.f64 1/8)) (.f64 -3/16 (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) (pow.f64 x 3))))) (+.f64 -1 (/.f64 1/8 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 1 (*.f64 -1/2 (sqrt.f64 1/2)))
(+.f64 1 (*.f64 (sqrt.f64 1/2) -1/2))
(+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (*.f64 -1/2 (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (.f64 (sqrt.f64 1/2) -1/2) (.f64 1/8 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x))))
(+.f64 1 (+.f64 (.f64 (sqrt.f64 1/2) -1/2) (/.f64 1/8 (.f64 x (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1/2 (sqrt.f64 1/2)))))
(+.f64 (+.f64 (.f64 (sqrt.f64 1/2) -1/2) (.f64 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2)) 1/64)) (+.f64 (*.f64 1/8 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)) 1))
(+.f64 1 (+.f64 (.f64 1 (/.f64 (/.f64 1/64 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 (.f64 (sqrt.f64 1/2) -1/2) (*.f64 1/8 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 1/64 (pow.f64 x 2)) (sqrt.f64 1/8)) (+.f64 (.f64 (sqrt.f64 1/2) -1/2) (/.f64 1/8 (.f64 x (sqrt.f64 1/2))))))
(+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (sqrt.f64 1/2))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 1/2) -1/2) (+.f64 (.f64 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2)) 1/64) (.f64 1/4 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3))))) (+.f64 (.f64 1/8 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x)) 1))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3))) (+.f64 (.f64 1 (/.f64 (/.f64 1/64 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 (.f64 (sqrt.f64 1/2) -1/2) (.f64 1/8 (/.f64 (/.f64 1 (sqrt.f64 1/2)) x))))))
(+.f64 (+.f64 (+.f64 1 (.f64 (sqrt.f64 1/2) -1/2)) (/.f64 (/.f64 1/64 (pow.f64 x 2)) (sqrt.f64 1/8))) (+.f64 (/.f64 1/8 (.f64 x (sqrt.f64 1/2))) (*.f64 1/4 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3)))))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/4))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 4) 3/16)))
(+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 1/2 (.f64 (pow.f64 x 4) 3/16)))
(+.f64 (+.f64 1/2 (.f64 (pow.f64 x 2) -1/4)) (.f64 (pow.f64 x 4) 3/16))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 (.f64 (pow.f64 x 4) 3/16) (*.f64 (pow.f64 x 6) -5/32))))
(+.f64 (+.f64 1/2 (.f64 (pow.f64 x 2) -1/4)) (+.f64 (.f64 (pow.f64 x 4) 3/16) (*.f64 (pow.f64 x 6) -5/32)))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 1 (/.f64 1/2 x)) (.f64 1 (/.f64 1/4 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/2 x)) (.f64 1 (/.f64 3/16 (pow.f64 x 5)))) (*.f64 1 (/.f64 1/4 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/2 x)) (.f64 1 (/.f64 3/16 (pow.f64 x 5)))) (+.f64 (.f64 1 (/.f64 1/4 (pow.f64 x 3))) (.f64 1 (/.f64 5/32 (pow.f64 x 7)))))
(-.f64 (/.f64 1/2 x) (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7))) (/.f64 3/16 (pow.f64 x 5))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1 (/.f64 1/4 (pow.f64 x 3))) (.f64 1 (/.f64 1/2 x)))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (.f64 1 (/.f64 1/4 (pow.f64 x 3))) (+.f64 (.f64 1 (/.f64 1/2 x)) (*.f64 1 (/.f64 3/16 (pow.f64 x 5)))))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/4 (pow.f64 x 3))) (.f64 1 (/.f64 5/32 (pow.f64 x 7)))) (+.f64 (.f64 1 (/.f64 1/2 x)) (.f64 1 (/.f64 3/16 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7))) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/4))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 4) 3/16)))
(+.f64 (.f64 (pow.f64 x 4) 3/16) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 (.f64 (pow.f64 x 4) 3/16) (*.f64 (pow.f64 x 6) -5/32))))
(+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 (.f64 (pow.f64 x 4) 3/16) (+.f64 (*.f64 (pow.f64 x 6) -5/32) 1)))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 1 (/.f64 1/2 x)))
(+.f64 1/2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1/2) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1/2 (.f64 1 (/.f64 1/2 x))) (.f64 1 (/.f64 1/4 (pow.f64 x 3))))
(-.f64 (.f64 1 (/.f64 1/2 x)) (+.f64 (.f64 1 (/.f64 1/4 (pow.f64 x 3))) -1/2))
(+.f64 (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))) 1/2)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1 (/.f64 3/16 (pow.f64 x 5))) (+.f64 1/2 (.f64 1 (/.f64 1/2 x)))) (*.f64 1 (/.f64 1/4 (pow.f64 x 3))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))) (/.f64 1/4 (pow.f64 x 3)))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1 (/.f64 1/2 x)))
(-.f64 1/2 (/.f64 1/2 x))
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(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) 2) (hypot.f64 1 x))
(-.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 (-.f64 (.f64 (hypot.f64 1 x) 2) -2) (.f64 (hypot.f64 1 x) 4))
(-.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 (.f64 2 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4)) 8)
(-.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) (*.f64 (hypot.f64 1 x) -2))
(-.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 (.f64 4 (+.f64 1 (hypot.f64 1 x))) (.f64 (*.f64 (hypot.f64 1 x) 2) 4))
(-.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 (*.f64 (/.f64 2 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x))) 4)
(-.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) 1/2) (*.f64 (hypot.f64 1 x) 4))
(-.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 (/.f64 (+.f64 1 (hypot.f64 1 x)) -2) (neg.f64 (hypot.f64 1 x)))
(-.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4)) (.f64 2 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 4))) 16)
(-.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)
(-.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 1 (sqrt.f64 1/2))

Compiler

Compiled 9 to 9 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite292.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`rational_best-1`
1126×	`rational_best-4`
1126×	`rational_best-2`
1126×	`rational_best-3`
1126×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	43	11
2	75	11
3	179	11
4	563	11
5	3245	11

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 1 (sqrt.f64 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (/.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (/.f64 (sqrt.f64 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 1/2) -1) (+.f64 2 (*.f64 (sqrt.f64 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 -1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (*.f64 (sqrt.f64 1/2) -2)) (+.f64 (sqrt.f64 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (sqrt.f64 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))) (+.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/2) (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 1/2) -2) (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)) (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)) (/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)) (/.f64 (*.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) -1/2) (*.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4))) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 1/2) 3/2) -1/2) -1) (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 4) (/.f64 (+.f64 (-.f64 2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 4) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/2) 2) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (-.f64 2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) -2)) 4) (/.f64 (-.f64 2 (sqrt.f64 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (neg.f64 (sqrt.f64 1/2))) (/.f64 (+.f64 (*.f64 (sqrt.f64 1/2) 3/2) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))) (+.f64 1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (/.f64 (sqrt.f64 1/2) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (sqrt.f64 1/2) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) -1/2)) (-.f64 -1 (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) -1/2)) (-.f64 1 (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 (sqrt.f64 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (-.f64 (*.f64 (sqrt.f64 1/2) 2) 2) (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4) (-.f64 (*.f64 (sqrt.f64 1/2) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 1/2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (sqrt.f64 1/2) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (sqrt.f64 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sqrt.f64 1/2) 2) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4))) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 4) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 1/2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 (sqrt.f64 1/2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 1/2) 2) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 4) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 4) (*.f64 2 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (*.f64 (sqrt.f64 1/2) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 1/2) -1))))))

simplify254.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

922×	`rational_best-simplify-57`
828×	`rational_best-simplify-65`
826×	`rational_best-simplify-51`
688×	`rational_best-simplify-67`
686×	`rational_best-simplify-63`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1244
1	300	972
2	620	964
3	1879	924

Stop Event

1×	node limit

Counts

68 → 79

Calls

Call 1

Inputs
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (-.f64 1 (sqrt.f64 1/2)) -1))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 1/2) -1)))
(+.f64 1/2 (/.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) -2)) 2))
(+.f64 1/2 (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (/.f64 (sqrt.f64 1/2) -2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) 0)
(+.f64 0 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (+.f64 (sqrt.f64 1/2) -1) (+.f64 2 (*.f64 (sqrt.f64 1/2) -2)))
(+.f64 (neg.f64 (sqrt.f64 1/2)) 1)
(+.f64 2 (-.f64 -1 (sqrt.f64 1/2)))
(+.f64 (+.f64 2 (*.f64 (sqrt.f64 1/2) -2)) (+.f64 (sqrt.f64 1/2) -1))
(+.f64 -1 (-.f64 2 (sqrt.f64 1/2)))
(+.f64 (-.f64 2 (sqrt.f64 1/2)) -1)
(+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)))
(+.f64 (+.f64 1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))) (+.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))))
(+.f64 (.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/2) (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) -1/2))
(+.f64 (/.f64 (sqrt.f64 1/2) -2) (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2))
(+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)) (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4))))
(+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)) (/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 4))
(+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)) (/.f64 (.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/2) 2))
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
(+.f64 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2) (.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/2))
(+.f64 (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4))) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)))
(+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 1/2) 3/2) -1/2) -1) (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (neg.f64 (sqrt.f64 1/2))))
(+.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) -1) 1)
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 4) (/.f64 (+.f64 (-.f64 2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) -2)) 4))
(+.f64 (/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 4) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)))
(+.f64 (/.f64 (.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/2) 2) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)))
(+.f64 (/.f64 (+.f64 (-.f64 2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) -2)) 4) (/.f64 (-.f64 2 (sqrt.f64 1/2)) 4))
(+.f64 (/.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) -2)) 2) 1/2)
(+.f64 (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (neg.f64 (sqrt.f64 1/2))) (/.f64 (+.f64 (*.f64 (sqrt.f64 1/2) 3/2) -1/2) -1))
(+.f64 (+.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))) (+.f64 1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))))
(+.f64 (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (/.f64 (sqrt.f64 1/2) -2)) 1/2)
(+.f64 (-.f64 -1 (sqrt.f64 1/2)) 2)
(+.f64 (-.f64 -1 (+.f64 (sqrt.f64 1/2) -1)) 1)
(+.f64 (-.f64 1 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2)) (-.f64 -1 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2)))
(+.f64 (-.f64 -1 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2)) (-.f64 1 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2)))
(*.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(.f64 1/2 (+.f64 2 (.f64 (sqrt.f64 1/2) -2)))
(.f64 1/2 (+.f64 (-.f64 (.f64 (sqrt.f64 1/2) 2) 2) (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4)))
(.f64 1/2 (+.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4) (-.f64 (*.f64 (sqrt.f64 1/2) 2) 2)))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(*.f64 (+.f64 (sqrt.f64 1/2) -1) -1)
(*.f64 2 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)))
(.f64 (+.f64 2 (.f64 (sqrt.f64 1/2) -2)) 1/2)
(*.f64 -1 (+.f64 (sqrt.f64 1/2) -1))
(.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 1/4)
(*.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) 2)
(.f64 4 (.f64 (-.f64 1 (sqrt.f64 1/2)) 1/4))
(.f64 -2 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4))
(.f64 (.f64 2 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4)) 1/8)
(.f64 (-.f64 (.f64 (sqrt.f64 1/2) 2) 2) -1/2)
(.f64 (neg.f64 (.f64 2 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4))) -1/8)
(.f64 1/8 (.f64 2 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4)))
(.f64 (.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 4) 1/16)
(.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) 4) -1/4)
(/.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(/.f64 (+.f64 (sqrt.f64 1/2) -1) -1)
(/.f64 (+.f64 2 (*.f64 (sqrt.f64 1/2) -2)) 2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4)) 8)
(/.f64 (-.f64 (*.f64 (sqrt.f64 1/2) 2) 2) -2)
(/.f64 (.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 4) 16)
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 4) (.f64 2 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4))) 8)
(/.f64 (-.f64 (.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (.f64 (sqrt.f64 1/2) 2)) 4)
(pow.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(neg.f64 (+.f64 (sqrt.f64 1/2) -1))

Outputs
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 1 (+.f64 (-.f64 1 (sqrt.f64 1/2)) -1))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 1 (-.f64 -1 (+.f64 (sqrt.f64 1/2) -1)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 1/2 (/.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) -2)) 2))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 1/2 (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (/.f64 (sqrt.f64 1/2) -2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) 0)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 0 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (+.f64 (sqrt.f64 1/2) -1) (+.f64 2 (*.f64 (sqrt.f64 1/2) -2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (neg.f64 (sqrt.f64 1/2)) 1)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 2 (-.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (+.f64 2 (*.f64 (sqrt.f64 1/2) -2)) (+.f64 (sqrt.f64 1/2) -1))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 -1 (-.f64 2 (sqrt.f64 1/2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (-.f64 2 (sqrt.f64 1/2)) -1)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (+.f64 1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))) (+.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/2) (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) -1/2))
(+.f64 (.f64 1/2 (.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) -1/2))
(+.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 3/2) (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2))
(+.f64 -1/2 (.f64 1/2 (+.f64 (sqrt.f64 1/2) (.f64 (+.f64 (sqrt.f64 1/2) -1) -3))))
(+.f64 -1/2 (.f64 1/2 (+.f64 (+.f64 (.f64 (sqrt.f64 1/2) -2) 2) 1)))
(+.f64 (/.f64 (sqrt.f64 1/2) -2) (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)) (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4))))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)) (/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 4))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)) (/.f64 (.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/2) 2))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2) (.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/2))
(+.f64 (.f64 1/2 (.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) -1/2))
(+.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 3/2) (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2))
(+.f64 -1/2 (.f64 1/2 (+.f64 (sqrt.f64 1/2) (.f64 (+.f64 (sqrt.f64 1/2) -1) -3))))
(+.f64 -1/2 (.f64 1/2 (+.f64 (+.f64 (.f64 (sqrt.f64 1/2) -2) 2) 1)))
(+.f64 (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4))) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 1/2) 3/2) -1/2) -1) (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (neg.f64 (sqrt.f64 1/2))))
(+.f64 (neg.f64 (+.f64 -1/2 (*.f64 (sqrt.f64 1/2) 3/2))) (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (neg.f64 (sqrt.f64 1/2))))
(-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (+.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 -1/2 (*.f64 (sqrt.f64 1/2) 3/2))))
(+.f64 (+.f64 1/2 (neg.f64 (*.f64 (sqrt.f64 1/2) 3/2))) (-.f64 1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))))
(+.f64 (/.f64 (sqrt.f64 1/2) -2) (-.f64 1 (*.f64 1/2 (sqrt.f64 1/2))))
(+.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) -1) 1)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 4) (/.f64 (+.f64 (-.f64 2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) -2)) 4))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 4) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (/.f64 (.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/2) 2) (-.f64 1/4 (/.f64 (sqrt.f64 1/2) 4)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (/.f64 (+.f64 (-.f64 2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) -2)) 4) (/.f64 (-.f64 2 (sqrt.f64 1/2)) 4))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (/.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) -2)) 2) 1/2)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (neg.f64 (sqrt.f64 1/2))) (/.f64 (+.f64 (*.f64 (sqrt.f64 1/2) 3/2) -1/2) -1))
(+.f64 (neg.f64 (+.f64 -1/2 (*.f64 (sqrt.f64 1/2) 3/2))) (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (neg.f64 (sqrt.f64 1/2))))
(-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (+.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 -1/2 (*.f64 (sqrt.f64 1/2) 3/2))))
(+.f64 (+.f64 1/2 (neg.f64 (*.f64 (sqrt.f64 1/2) 3/2))) (-.f64 1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))))
(+.f64 (/.f64 (sqrt.f64 1/2) -2) (-.f64 1 (*.f64 1/2 (sqrt.f64 1/2))))
(+.f64 (+.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))) (+.f64 1 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2))))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) (/.f64 (sqrt.f64 1/2) -2)) 1/2)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (-.f64 -1 (sqrt.f64 1/2)) 2)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (-.f64 -1 (+.f64 (sqrt.f64 1/2) -1)) 1)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (-.f64 1 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2)) (-.f64 -1 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2)))
(+.f64 (+.f64 (-.f64 1 (.f64 1/2 (sqrt.f64 1/2))) 1/2) (-.f64 -1 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2)))
(+.f64 (+.f64 3/2 (neg.f64 (.f64 1/2 (sqrt.f64 1/2)))) (+.f64 -1/2 (neg.f64 (.f64 1/2 (sqrt.f64 1/2)))))
(+.f64 (-.f64 -1 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2)) (-.f64 1 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2)))
(+.f64 (+.f64 (-.f64 1 (.f64 1/2 (sqrt.f64 1/2))) 1/2) (-.f64 -1 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2)))
(+.f64 (+.f64 3/2 (neg.f64 (.f64 1/2 (sqrt.f64 1/2)))) (+.f64 -1/2 (neg.f64 (.f64 1/2 (sqrt.f64 1/2)))))
(*.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 1/2 (+.f64 2 (.f64 (sqrt.f64 1/2) -2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 1/2 (+.f64 (-.f64 (.f64 (sqrt.f64 1/2) 2) 2) (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 1/2 (+.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4) (-.f64 (*.f64 (sqrt.f64 1/2) 2) 2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (+.f64 (sqrt.f64 1/2) -1) -1)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 2 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (+.f64 2 (.f64 (sqrt.f64 1/2) -2)) 1/2)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 -1 (+.f64 (sqrt.f64 1/2) -1))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 1/4)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (+.f64 1/2 (/.f64 (sqrt.f64 1/2) -2)) 2)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 4 (.f64 (-.f64 1 (sqrt.f64 1/2)) 1/4))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 -2 (+.f64 (.f64 1/2 (sqrt.f64 1/2)) -1/2))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 2 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4)) 1/8)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (-.f64 (.f64 (sqrt.f64 1/2) 2) 2) -1/2)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (neg.f64 (.f64 2 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4))) -1/8)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 1/8 (.f64 2 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 4) 1/16)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) 4) -1/4)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (+.f64 (sqrt.f64 1/2) -1) -1)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (+.f64 2 (*.f64 (sqrt.f64 1/2) -2)) 2)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 4)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4)) 8)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (-.f64 (*.f64 (sqrt.f64 1/2) 2) 2) -2)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 4) 16)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4) 4) (.f64 2 (.f64 (+.f64 (sqrt.f64 1/2) -1) -4))) 8)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (-.f64 (.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (.f64 (sqrt.f64 1/2) 2)) 4)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(pow.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(neg.f64 (+.f64 (sqrt.f64 1/2) -1))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))

localize68.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x))))
✓	0.5b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))

Compiler

Compiled 37 to 31 computations (16.2% saved)

series4.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
1.0ms	x	@	-inf	(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
1.0ms	x	@	0	(sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x))))
0.0ms	x	@	inf	(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x))))

rewrite232.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`rational_best-2`
748×	`rational_best-3`
748×	`rational_best-1`
746×	`rational_best-4`
746×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	78	52
2	178	52
3	479	40
4	1879	40

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
(sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -2) -2) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3) 2) (-.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (-.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) (/.f64 (+.f64 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2) (/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1) (neg.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (sqrt.f64 (+.f64 2 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 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x)) (sqrt.f64 2)) (/.f64 (sqrt.f64 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 x 2) -1/2)) (sqrt.f64 (+.f64 (/.f64 x 2) -1/2))) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 (sqrt.f64 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 x))) (sqrt.f64 (+.f64 2 (/.f64 -2 x)))) (*.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x 2) -1/2)) (/.f64 (sqrt.f64 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 2 (sqrt.f64 1/2))) (*.f64 2 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x))))) (*.f64 2 (*.f64 2 (sqrt.f64 1/2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 x))) (*.f64 2 (sqrt.f64 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)))))

simplify302.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1136×	`rational_best-simplify-47`
974×	`rational_best-simplify-1`
782×	`rational_best-simplify-48`
690×	`rational_best-simplify-55`
674×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	3408
1	643	3118
2	1793	2888

Stop Event

1×	node limit

Counts

110 → 146

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x))))) (sqrt.f64 1/2))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x))))) (sqrt.f64 1/2))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (.f64 -1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (*.f64 -1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (.f64 -1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (*.f64 -1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 0)
(+.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(+.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -2) -2) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))
(+.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2))
(+.f64 (/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3) 2) (-.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (-.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)))
(+.f64 (-.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)))
(+.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) (/.f64 (+.f64 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2))
(+.f64 (/.f64 (+.f64 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2) (/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2))
(+.f64 (-.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3) 2))
(+.f64 (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1) (neg.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(+.f64 (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (neg.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))))
(+.f64 (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2)) (neg.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2))))
(+.f64 (-.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (-.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))))
(+.f64 (-.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) 1) (-.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) (+.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(+.f64 (-.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2)) (-.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) (+.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -2) -2))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) -1)
(.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -2) -2) 1/2)
(.f64 1/4 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 4))
(.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 4) 1/4)
(.f64 (.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 4)) 1/8)
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) -1)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -2) -2) 2)
(/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 4)) 8)
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 0)
(+.f64 0 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))
(-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 0)
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2))
(*.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))
(*.f64 1/2 (sqrt.f64 (+.f64 2 (/.f64 -2 x))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)
(.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (.f64 (sqrt.f64 1/2) (sqrt.f64 2)))
(.f64 2 (.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 2 (.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) 2)))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 (/.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) 1/2)
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 4 (.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 x))) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (sqrt.f64 (+.f64 x -1)) (.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (+.f64 (/.f64 x 2) -1/2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x 2) -1/2)) (sqrt.f64 (/.f64 1 x)))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4))
(.f64 (.f64 2 (sqrt.f64 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) 2))
(.f64 (.f64 2 (sqrt.f64 1/2)) (*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) 2)))
(.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 (.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) (sqrt.f64 2)) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (.f64 2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 x))) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x)))) (/.f64 (sqrt.f64 1/2) 2))
(.f64 (.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x)))) (*.f64 1 (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x)))) (.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 2)) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4) 1/4)
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4) (*.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 2)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1 x))) (sqrt.f64 (+.f64 x -1)))
(.f64 (/.f64 (sqrt.f64 1/2) 2) (.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) 2) (.f64 2 (sqrt.f64 1/2)))
(.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 2) (/.f64 (sqrt.f64 (+.f64 (/.f64 x 2) -1/2)) 2))
(.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 2) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (.f64 (sqrt.f64 (+.f64 x -1)) 2) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (+.f64 (sqrt.f64 2) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)))
(.f64 (+.f64 (sqrt.f64 2) (sqrt.f64 2)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4)) 1/8)
(.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4)) (.f64 (/.f64 (sqrt.f64 2) 4) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (.f64 2 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x))))) (/.f64 (sqrt.f64 1/2) 4))
(.f64 (.f64 2 (.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x))))) (.f64 1/2 (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (.f64 2 (*.f64 2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) 4))
(.f64 (.f64 2 (.f64 2 (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 x))) 1/2)
(.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 x 2) -1/2)) (sqrt.f64 (+.f64 (/.f64 x 2) -1/2))) (.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2)) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 x 2) -1/2)) (sqrt.f64 (+.f64 (/.f64 x 2) -1/2))) (.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (+.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 x))) (sqrt.f64 (+.f64 2 (/.f64 -2 x)))) (.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (+.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x))) (.f64 (sqrt.f64 (+.f64 (/.f64 x 2) -1/2)) (/.f64 (sqrt.f64 1/2) 2)))
(/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4)) 8)
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 1/2))) (.f64 2 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x)))))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x))))) (.f64 2 (*.f64 2 (sqrt.f64 1/2)))) 16)
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 x))) (.f64 2 (sqrt.f64 1/2))) 1)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)

Outputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 x))) (sqrt.f64 1/2))
(-.f64 (-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 x)) (sqrt.f64 1/2)) -1)
(+.f64 (-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 x)) (sqrt.f64 1/2)) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/2 x)) (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))) (+.f64 1 (.f64 (sqrt.f64 1/2) (/.f64 1/2 x)))) (sqrt.f64 1/2))
(-.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 2)))) (+.f64 (sqrt.f64 1/2) -1))
(-.f64 (+.f64 1 (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/2 x)) (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))) (*.f64 (sqrt.f64 1/2) (/.f64 1/16 (pow.f64 x 3)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/16 (pow.f64 x 3))) (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))) (+.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 x))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))) (.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 3))))) (+.f64 (sqrt.f64 1/2) -1))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 x))) (sqrt.f64 1/2))
(-.f64 (-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 x)) (sqrt.f64 1/2)) -1)
(+.f64 (-.f64 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 x)) (sqrt.f64 1/2)) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/2 x)) (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))) (+.f64 1 (.f64 (sqrt.f64 1/2) (/.f64 1/2 x)))) (sqrt.f64 1/2))
(-.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 2)))) (+.f64 (sqrt.f64 1/2) -1))
(-.f64 (+.f64 1 (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/2 x)) (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))) (*.f64 (sqrt.f64 1/2) (/.f64 1/16 (pow.f64 x 3)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/16 (pow.f64 x 3))) (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))) (+.f64 1 (*.f64 (sqrt.f64 1/2) (/.f64 1/2 x))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 1/8 (pow.f64 x 2))) (.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 3))))) (+.f64 (sqrt.f64 1/2) -1))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 1/2) (-.f64 (/.f64 -1/2 x) -1))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (.f64 -1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)) (.f64 (sqrt.f64 1/2) (/.f64 -1/8 (pow.f64 x 2)))))
(+.f64 (+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (/.f64 -1/2 x))) (.f64 (sqrt.f64 1/2) (/.f64 -1/8 (pow.f64 x 2))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 2)))))
(+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (*.f64 -1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)) (.f64 (sqrt.f64 1/2) (/.f64 -1/8 (pow.f64 x 2)))) (+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (/.f64 -1/16 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)) (.f64 (sqrt.f64 1/2) (/.f64 -1/8 (pow.f64 x 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 -1/16 (pow.f64 x 3)))))
(+.f64 (.f64 (sqrt.f64 1/2) (-.f64 (/.f64 -1/2 x) -1)) (.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/8 (pow.f64 x 2)) (/.f64 -1/16 (pow.f64 x 3)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 1/2) (-.f64 (/.f64 -1/2 x) -1))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (.f64 -1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)) (.f64 (sqrt.f64 1/2) (/.f64 -1/8 (pow.f64 x 2)))))
(+.f64 (+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (/.f64 -1/2 x))) (.f64 (sqrt.f64 1/2) (/.f64 -1/8 (pow.f64 x 2))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 2)))))
(+.f64 (.f64 -1/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (*.f64 -1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)) (.f64 (sqrt.f64 1/2) (/.f64 -1/8 (pow.f64 x 2)))) (+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (/.f64 -1/16 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 -1/2 x)) (.f64 (sqrt.f64 1/2) (/.f64 -1/8 (pow.f64 x 2)))) (*.f64 (sqrt.f64 1/2) (/.f64 -1/16 (pow.f64 x 3)))))
(+.f64 (.f64 (sqrt.f64 1/2) (-.f64 (/.f64 -1/2 x) -1)) (.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/8 (pow.f64 x 2)) (/.f64 -1/16 (pow.f64 x 3)))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
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(.f64 (+.f64 (sqrt.f64 2) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)))
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(.f64 (+.f64 (sqrt.f64 2) (sqrt.f64 2)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (sqrt.f64 1/2) 2)))
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(.f64 (.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4)) 1/8)
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4)) (.f64 (/.f64 (sqrt.f64 2) 4) (/.f64 (sqrt.f64 1/2) 2)))
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(.f64 (.f64 2 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x))))) (/.f64 (sqrt.f64 1/2) 4))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 1 x)) 1/2)) 1)
(sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x))))
(.f64 (.f64 2 (.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x))))) (.f64 1/2 (/.f64 (sqrt.f64 1/2) 2)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 1 x)) 1/2)) 1)
(sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x))))
(.f64 (.f64 2 (*.f64 2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) 4))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 1 x)) 1/2)) 1)
(sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x))))
(.f64 (.f64 2 (.f64 2 (sqrt.f64 1/2))) (.f64 1/2 (/.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) 2)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 1 x)) 1/2)) 1)
(sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (+.f64 x -1)))
(sqrt.f64 (*.f64 (/.f64 1/2 x) (+.f64 x -1)))
(sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 x))) 1/2)
(*.f64 1/2 (sqrt.f64 (+.f64 2 (/.f64 -2 x))))
(.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 x 2) -1/2)) (sqrt.f64 (+.f64 (/.f64 x 2) -1/2))) (.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2)) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (/.f64 (sqrt.f64 1/2) 2) (.f64 (sqrt.f64 (*.f64 (/.f64 1 x) 2)) (+.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 x 2))) (sqrt.f64 (+.f64 -1/2 (/.f64 x 2))))))
(.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 1/2)) (.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 x 2))) 2) (sqrt.f64 (*.f64 2 (/.f64 1 x)))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (*.f64 1 (/.f64 2 x)) (+.f64 -1/2 (/.f64 x 2)))))
(.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 x 2) -1/2)) (sqrt.f64 (+.f64 (/.f64 x 2) -1/2))) (.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (/.f64 (sqrt.f64 1/2) 2) (.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 x 2))) (+.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)))))
(.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 1/2)) (.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) 2) (sqrt.f64 (+.f64 -1/2 (/.f64 x 2)))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (/.f64 2 x) (+.f64 -1/2 (/.f64 x 2)))))
(.f64 (+.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 x))) (sqrt.f64 (+.f64 2 (/.f64 -2 x)))) (.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (.f64 (sqrt.f64 1/2) 2) (*.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 x))) 2)))
(.f64 2 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 x))) (.f64 1/2 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (+.f64 2 (/.f64 -2 x)) 1/2)))
(.f64 (+.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x))) (.f64 (sqrt.f64 (+.f64 (/.f64 x 2) -1/2)) (/.f64 (sqrt.f64 1/2) 2)))
(.f64 (/.f64 (sqrt.f64 1/2) 2) (.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 x 2))) (+.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)))))
(.f64 (+.f64 (sqrt.f64 1/2) (sqrt.f64 1/2)) (.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) 2) (sqrt.f64 (+.f64 -1/2 (/.f64 x 2)))))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (/.f64 2 x) (+.f64 -1/2 (/.f64 x 2)))))
(/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) 2)
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4) 4)
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4)) 8)
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 1/2))) (.f64 2 (*.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x)))))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) 4) (*.f64 (sqrt.f64 1/2) 4)) 16)
(/.f64 (.f64 4 (.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) (*.f64 (sqrt.f64 1/2) 4))) 16)
(/.f64 (.f64 (.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x)))) (*.f64 (sqrt.f64 1/2) 8)) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x))))) (.f64 2 (*.f64 2 (sqrt.f64 1/2)))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) 4) (*.f64 (sqrt.f64 1/2) 4)) 16)
(/.f64 (.f64 4 (.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) (*.f64 (sqrt.f64 1/2) 4))) 16)
(/.f64 (.f64 (.f64 2 (sqrt.f64 (-.f64 1 (/.f64 1 x)))) (*.f64 (sqrt.f64 1/2) 8)) 16)
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 x))) (.f64 2 (sqrt.f64 1/2))) 1)
(.f64 4 (.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 x))) 2)))
(.f64 2 (sqrt.f64 (.f64 1/2 (-.f64 1/4 (/.f64 1/4 x)))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))

localize66.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
	0.0b	(/.f64 1/2 (hypot.f64 1 x))
✓	0.0b	(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	1.6b	(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)

Compiler

Compiled 51 to 44 computations (13.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
0.0ms	x	@	inf	(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
0.0ms	x	@	-inf	(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
0.0ms	x	@	-inf	(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
0.0ms	x	@	0	(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)

rewrite211.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`rational_best-simplify-83`
766×	`rational_best-simplify-48`
682×	`rational_best-simplify-52`
594×	`rational_best-simplify-67`
592×	`rational_best-simplify-57`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	90	64
2	159	58
3	399	58
4	1429	58

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1/2 (+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2) (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1/2 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (/.f64 (-.f64 -2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (+.f64 (+.f64 (/.f64 (sqrt.f64 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#<rule egg-rr> (2) ((x -.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (-.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2) (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) -2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2)) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2)) (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) 2) (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 5/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2) 2) (/.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (/.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))

simplify349.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1430×	`rational_best-simplify-57`
964×	`rational_best-simplify-3`
804×	`rational_best-simplify-65`
774×	`rational_best-simplify-48`
752×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	5661
1	811	5467
2	2126	5061

Stop Event

1×	node limit

Counts

121 → 202

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
-2
(-.f64 (*.f64 1/8 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 2)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) 2)
(*.f64 -1 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 (.f64 -1 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (.f64 -1 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (.f64 -1 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(*.f64 -1 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 -1 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 -1 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 -1 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(-.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))
(-.f64 1/2 (+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(-.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 1 (/.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(-.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2)
(-.f64 2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(-.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))
(-.f64 0 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(-.f64 -1/2 (+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2) (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2)))
(-.f64 -1/2 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2))
(-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (/.f64 (-.f64 -2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4))
(-.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 3/2))
(-.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2) -1))
(-.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (/.f64 (+.f64 -2 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 3/2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2))
(-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(-.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (-.f64 0 (/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2)) 2))
(-.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (-.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2) (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))
(-.f64 (-.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) -2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(-.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2) 1)
(-.f64 (-.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(-.f64 (-.f64 1 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2)) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(-.f64 (-.f64 -1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2)) (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2))
(-.f64 (/.f64 (+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) 2) (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 5/2) 2))
(-.f64 (/.f64 (-.f64 1 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2) 2) (/.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -1/2) 2))
(-.f64 (/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 4) (/.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4))
(-.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 3/2) 2) (/.f64 (+.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) -1/2) 2))
(-.f64 (/.f64 (+.f64 2 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) 2) (/.f64 (+.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 1/2) 2))
(-.f64 (/.f64 (+.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) 2) (/.f64 (-.f64 -1 (/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2)) 2))
(-.f64 (+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) (-.f64 -1 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))
(-.f64 (+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) 1) (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))
(-.f64 (+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) (-.f64 0 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))
(-.f64 (+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) 1/2) (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))
(-.f64 (+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) -1/2) (-.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2) (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))
(.f64 1/2 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 1/2)
(*.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4))
(.f64 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4) 1/8)
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(/.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 2)
(/.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 4)
(/.f64 (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4) 8)
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(neg.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(+.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 0 (-.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(+.f64 -1/2 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1) 2))
(+.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (+.f64 -1 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))
(+.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))
(+.f64 (/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(+.f64 (/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2) (-.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) -1))
(+.f64 (-.f64 -1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 4))
(+.f64 (-.f64 -1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2) 2))
(+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) -1) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))
(+.f64 (-.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2))
(+.f64 (-.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(+.f64 (-.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) (neg.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))))
(+.f64 (/.f64 (-.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (/.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4))
(+.f64 (-.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))
(*.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2))
(*.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2) 1/2)
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4))
(.f64 (.f64 2 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4)) 1/8)
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2) 2)
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4)) 8)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -2) -2)
(pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

Outputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 69/1024 (pow.f64 x 6)))))
(+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (.f64 1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -1843/32768 (pow.f64 x 8)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2)))) (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (.f64 1/32 (/.f64 (/.f64 1 (pow.f64 x 2)) (sqrt.f64 1/8))) (+.f64 (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))) -1))
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(+.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (/.f64 (*.f64 3 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)))
(/.f64 (+.f64 (*.f64 3 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(+.f64 (/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2) (-.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (/.f64 (*.f64 3 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(+.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (/.f64 (*.f64 3 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)))
(/.f64 (+.f64 (*.f64 3 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(+.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) -1))
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (-.f64 -1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 4))
(+.f64 (-.f64 -1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (*.f64 3 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 4))
(+.f64 (/.f64 (*.f64 3 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 4) (+.f64 -1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)))
(+.f64 (-.f64 -1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2) 2))
(+.f64 (-.f64 -1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (*.f64 3 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 4))
(+.f64 (/.f64 (*.f64 3 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 4) (+.f64 -1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)))
(+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) -1) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (-.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 2))
(+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (/.f64 (*.f64 3 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(+.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (/.f64 (*.f64 3 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)))
(/.f64 (+.f64 (*.f64 3 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(+.f64 (-.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (-.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) (neg.f64 (+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))))
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (/.f64 (-.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (/.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4))
(/.f64 (+.f64 (-.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (*.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))) 4)
(/.f64 (+.f64 (-.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (-.f64 (*.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2)) 4)
(/.f64 (+.f64 (-.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -2 (-.f64 (*.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 4)
(+.f64 (-.f64 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2))
(.f64 1/2 (-.f64 (.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(*.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2))
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2) 1/2)
(.f64 1/2 (-.f64 (.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 1/4)
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(.f64 1/4 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4))
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(.f64 (.f64 2 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4)) 1/8)
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 2) 2)
(-.f64 (/.f64 (*.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1)
(+.f64 (/.f64 (*.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) -1)
(+.f64 -1 (/.f64 (*.f64 -2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 4)
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (.f64 2 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4)) 8)
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) -2) -2)
(/.f64 (-.f64 (*.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2) -2)
(+.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2) -1)
(+.f64 -1 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))
(pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

localize104.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))
✓	0.2b	(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))

Compiler

Compiled 52 to 46 computations (11.5% saved)

series4.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
1.0ms	x	@	0	(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))
1.0ms	x	@	inf	(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))
1.0ms	x	@	inf	(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
0.0ms	x	@	-inf	(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))

rewrite227.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`rational_best-simplify-82`
820×	`rational_best-simplify-64`
724×	`rational_best-4`
724×	`rational_best-2`
724×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	72	44
2	146	44
3	400	44
4	1765	44

Stop Event

1×	node limit

Counts

2 → 201

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) (*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2) (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2) (*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2) (-.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2) (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 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simplify540.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational_best-simplify-50`
1138×	`rational_best-simplify-55`
964×	`rational_best-simplify-1`
882×	`rational_best-simplify-47`
802×	`rational_best-simplify-108`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	479	6079
1	1686	4579
2	7274	3287

Stop Event

1×	node limit

Counts

201 → 239

Calls

Call 1

Inputs
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)))
(+.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)))
(+.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) (neg.f64 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2) (*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2) (-.f64 (/.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2) (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) 4) (/.f64 (.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 1/2) 3)) 4))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) (.f64 (sqrt.f64 1/2) 3)) 4) (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) 4))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) (.f64 (sqrt.f64 1/2) 3)) 4) (+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) 4) 0))
(-.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) 0)
(-.f64 0 (neg.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))
(-.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -2))
(-.f64 (/.f64 (.f64 (pow.f64 x 2) (.f64 (sqrt.f64 1/2) 3)) 4) (/.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))) 4))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -2)) (-.f64 0 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2)))
(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) 1)
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 2 (pow.f64 x 2))) 2)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))) -1)
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)) 4)
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 2 (*.f64 (pow.f64 x 2) 4))) 8)
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 2) 4)) 4) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (/.f64 (.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2)))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 2 (pow.f64 x 2)))) (*.f64 (sqrt.f64 2) 4))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4))) (.f64 (.f64 (sqrt.f64 2) 4) 4))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 (sqrt.f64 1/2) (.f64 2 (.f64 (pow.f64 x 2) 4)))) (.f64 8 (.f64 2 (*.f64 (sqrt.f64 2) 4))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)) 4)) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (/.f64 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 2) 4)) (/.f64 (sqrt.f64 2) 2))) 64)
(/.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 2 (sqrt.f64 2)))) (.f64 (/.f64 1/2 (sqrt.f64 2)) 1/2))
(/.f64 (.f64 (.f64 2 (.f64 (pow.f64 x 2) 4)) (.f64 2 (*.f64 (sqrt.f64 1/2) 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 4)) (.f64 2 (*.f64 (pow.f64 x 2) 4))) 64)
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) 2) (.f64 2 (.f64 (pow.f64 x 2) 4))) 16)
(/.f64 (.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (.f64 (sqrt.f64 1/2) 4))) 16)
(/.f64 (.f64 1 (/.f64 (.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) 1)
(neg.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)) 0)
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(+.f64 0 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)))
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(+.f64 (/.f64 (.f64 (pow.f64 x 2) (.f64 (sqrt.f64 1/2) 3)) (.f64 (sqrt.f64 2) 4)) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (*.f64 (sqrt.f64 2) 4)) 0))
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(+.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 2 (sqrt.f64 2))) -1) (neg.f64 (+.f64 1 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) -2)))))
(+.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) 4)) -1) (-.f64 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) 4)) (+.f64 1 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) -2)))))
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(+.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 2 (sqrt.f64 2))) (+.f64 -1 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) -2)))) -1)
(+.f64 (-.f64 (.f64 2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 2 (sqrt.f64 2)))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) -2)))
(+.f64 (-.f64 (.f64 2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) 4))) (neg.f64 (/.f64 (.f64 (pow.f64 x 2) (.f64 (sqrt.f64 1/2) 3)) (*.f64 (sqrt.f64 2) 4))))
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(.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (sqrt.f64 2))) (.f64 2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 1/2) (.f64 2 (pow.f64 x 2))) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (.f64 (sqrt.f64 2) 4) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (*.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1/2 (sqrt.f64 2))) (/.f64 (.f64 (sqrt.f64 1/2) (.f64 2 (pow.f64 x 2))) (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 1/2 (sqrt.f64 2))) (.f64 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)) 4))
(.f64 (.f64 (sqrt.f64 2) (/.f64 1/2 (.f64 2 (sqrt.f64 2)))) (.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)) 4))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) (/.f64 1/2 (.f64 2 (sqrt.f64 2)))) (.f64 2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1/2 (.f64 2 (sqrt.f64 2)))) (/.f64 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 2) 4)) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (.f64 (sqrt.f64 2) 4) (/.f64 1/2 (.f64 2 (sqrt.f64 2)))) (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1/2 (.f64 2 (sqrt.f64 2)))) (/.f64 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 2) 4)) (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 2) (/.f64 1/2 (.f64 2 (sqrt.f64 2)))) (/.f64 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 2) 4)) (/.f64 (sqrt.f64 2) 2)))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2)))) (/.f64 (/.f64 1 (/.f64 2 (sqrt.f64 2))) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)) (/.f64 2 (sqrt.f64 2)))) (/.f64 (/.f64 1 (/.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 4)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)) (sqrt.f64 2)))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) 4)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 2) (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)) (sqrt.f64 2)))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 2 (.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 2 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) 4)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 2 (.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 2) (.f64 2 (.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) 2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (sqrt.f64 2)))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (.f64 2 (sqrt.f64 2))))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 4)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 2) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (/.f64 (sqrt.f64 2) 2)))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)) 1)
(neg.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (sqrt.f64 2)))

Outputs
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) 0)
(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) (sqrt.f64 2))
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(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) (neg.f64 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2) (*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2))))
(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) (sqrt.f64 2))
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(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) (sqrt.f64 2))
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(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
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(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
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(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -2)) (-.f64 0 (/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) 2)) 2)))
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(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
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(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)) (/.f64 (.f64 (sqrt.f64 2) 8) (/.f64 (sqrt.f64 2) 2))) 64)
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(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)) (/.f64 (.f64 (sqrt.f64 2) 8) (/.f64 (sqrt.f64 2) 2))) 64)
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(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)) (/.f64 (.f64 (sqrt.f64 2) 8) (/.f64 (sqrt.f64 2) 2))) 64)
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(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
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(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
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(/.f64 (.f64 1 (/.f64 (.f64 2 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (/.f64 2 (sqrt.f64 2)))) 1)
(*.f64 (sqrt.f64 1/2) (pow.f64 x 2))
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(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))
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(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))
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(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))
(.f64 1/2 (.f64 (pow.f64 x 2) 1))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (.f64 2 (sqrt.f64 2))))
(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))
(.f64 1/2 (.f64 (pow.f64 x 2) 1))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))
(.f64 1/2 (.f64 (pow.f64 x 2) 1))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 2) 4)))
(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))
(.f64 1/2 (.f64 (pow.f64 x 2) 1))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))
(.f64 1/2 (.f64 (pow.f64 x 2) 1))
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 2) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 4)))) (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 2))) (/.f64 (sqrt.f64 2) 2)))
(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))
(.f64 1/2 (.f64 (pow.f64 x 2) 1))
(*.f64 1/2 (pow.f64 x 2))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)) 1)
(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))
(.f64 1/2 (.f64 (pow.f64 x 2) 1))
(*.f64 1/2 (pow.f64 x 2))
(neg.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))
(.f64 1/2 (.f64 (pow.f64 x 2) 1))
(*.f64 1/2 (pow.f64 x 2))

eval2.2s (5.1%)

Compiler: Compiled 29293 to 26937 computations (8% saved)

prune894.0ms (2.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1228	11	1239
Fresh	2	2	4
Picked	1	0	1
Done	2	2	4
Total	1233	15	1248

Error

Counts

1248 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	31.4b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
▶	14.8b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	31.0b	(-.f64 1 (sqrt.f64 1/2))
▶	30.5b	(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
	14.3b	(+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
▶	14.3b	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))
	31.2b	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
▶	46.7b	(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
✓	14.8b	(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
	31.7b	(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
	33.2b	(+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6))))
	32.9b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
	33.3b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
▶	32.6b	(*.f64 1/8 (pow.f64 x 2))
	46.8b	0

Compiler

Compiled 410 to 365 computations (11% saved)

localize193.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -1/4 (hypot.f64 1 x))
✓	0.0b	(/.f64 1/4 (hypot.f64 1 x))
✓	0.0b	(-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))
✓	1.1b	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))

Compiler

Compiled 148 to 128 computations (13.5% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))
0.0ms	x	@	inf	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))
0.0ms	x	@	-inf	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))
0.0ms	x	@	0	(/.f64 -1/4 (hypot.f64 1 x))
0.0ms	x	@	inf	(/.f64 1/4 (hypot.f64 1 x))

rewrite302.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1214×	`rational_best-4`
1214×	`rational_best-2`
1214×	`rational_best-3`
1214×	`rational_best-1`
1214×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	150
1	163	144
2	339	86
3	999	78
4	3441	78

Stop Event

1×	node limit

Counts

4 → 215

Calls

Call 1

Inputs
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))
(-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))
(/.f64 1/4 (hypot.f64 1 x))
(/.f64 -1/4 (hypot.f64 1 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (-.f64 -1 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) -2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)) (.f64 -3 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) (/.f64 (neg.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)) (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)) (+.f64 (/.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))) (neg.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4) 2) (+.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) (/.f64 -1/8 (hypot.f64 1 x))) (.f64 3 (/.f64 1/8 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))) (/.f64 -1/8 (hypot.f64 1 x))) (+.f64 (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))) (/.f64 1/8 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (-.f64 -1/2 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x)))) (+.f64 1 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (+.f64 1 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 -1/2 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -1/4 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 1/8 (hypot.f64 1 x)))))) (#(struct:change 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-1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 1 x)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/8 (/.f64 2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (hypot.f64 1 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 -1/4 (.f64 (hypot.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (hypot.f64 1 x)) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/8 (hypot.f64 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/8 (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/4 (hypot.f64 1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/4 (*.f64 (hypot.f64 1 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/4 (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1/4 (hypot.f64 1 x)))))))

simplify393.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1454×	`rational_best-simplify-48`
1432×	`rational_best-simplify-51`
1334×	`rational_best-simplify-52`
852×	`rational_best-simplify-49`
818×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	517	8417
1	1262	8313
2	3601	7689

Stop Event

1×	node limit

Counts

263 → 417

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (.f64 -1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2)))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (.f64 -1 (sqrt.f64 1/2))))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (*.f64 -1 (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 1/2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2))))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1/2) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
1/4
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1/4)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 3/32 (pow.f64 x 4)) 1/4))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 1/4 (*.f64 -5/64 (pow.f64 x 6)))))
(/.f64 1/4 x)
(-.f64 (.f64 1/4 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/4 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/4 (/.f64 1 x))) (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1/4 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/4 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (*.f64 1/4 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/4 (/.f64 1 x))))
-1/4
(-.f64 (*.f64 1/8 (pow.f64 x 2)) 1/4)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -3/32 (pow.f64 x 4))) 1/4)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 5/64 (pow.f64 x 6)) (*.f64 -3/32 (pow.f64 x 4)))) 1/4)
(/.f64 -1/4 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/4 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (*.f64 1/4 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/4 (/.f64 1 x))))
(/.f64 1/4 x)
(-.f64 (.f64 1/4 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/4 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/4 (/.f64 1 x))) (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(-.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 0)
(-.f64 0 (-.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)))
(-.f64 0 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2))))
(-.f64 0 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) -2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 (+.f64 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)) (*.f64 -3 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)))
(-.f64 (+.f64 1 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))
(-.f64 (+.f64 1/2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) (/.f64 (neg.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(-.f64 (+.f64 1/2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))))
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(*.f64 1/2 (+.f64 (-.f64 -1/2 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x)))) (+.f64 1 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 1/2 (+.f64 (+.f64 1 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 -1/2 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x))))))
(*.f64 1 (/.f64 -1/4 (hypot.f64 1 x)))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)
(*.f64 -2 (/.f64 1/8 (hypot.f64 1 x)))
(*.f64 1/4 (/.f64 -1 (hypot.f64 1 x)))
(*.f64 (/.f64 1/4 (hypot.f64 1 x)) -1)
(*.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 -1/4 (/.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 -1/4 (hypot.f64 1 x)) 1)
(*.f64 -1 (/.f64 1/4 (hypot.f64 1 x)))
(*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x)))))
(*.f64 -1 (+.f64 (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 2 (/.f64 -1/8 (hypot.f64 1 x)))
(.f64 2 (.f64 (/.f64 1/4 (hypot.f64 1 x)) -1/2))
(.f64 2 (.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/4))
(*.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)
(*.f64 (/.f64 1 (hypot.f64 1 x)) -1/4)
(*.f64 -1/8 (/.f64 2 (hypot.f64 1 x)))
(*.f64 (/.f64 -1 (hypot.f64 1 x)) 1/4)
(.f64 4 (/.f64 -1/4 (.f64 (hypot.f64 1 x) 4)))
(*.f64 (/.f64 2 (hypot.f64 1 x)) -1/8)
(*.f64 (/.f64 1/8 (hypot.f64 1 x)) -2)
(*.f64 (/.f64 -1/8 (hypot.f64 1 x)) 2)
(.f64 (.f64 (/.f64 1/4 (hypot.f64 1 x)) -1/2) 2)
(.f64 (.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/4) 2)
(.f64 (/.f64 -1/4 (.f64 (hypot.f64 1 x) 4)) 4)
(pow.f64 (/.f64 -1/4 (hypot.f64 1 x)) 1)
(neg.f64 (/.f64 1/4 (hypot.f64 1 x)))

Outputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 1/8 (pow.f64 x 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -1843/32768 (pow.f64 x 8)))))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (.f64 -1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (.f64 -1 (sqrt.f64 1/2))) (.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))) -1))
(+.f64 (-.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) 1)
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2)))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (+.f64 (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) 1)) (.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 1 (+.f64 (neg.f64 (sqrt.f64 1/2)) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))))) (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) -1))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (.f64 -1 (sqrt.f64 1/2))))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 -1/2 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3)))) (+.f64 (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) 1)) (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 1 (+.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) (.f64 -1/2 (/.f64 -3/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))))))) (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (.f64 -1/2 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3))))) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) -1))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (*.f64 -1 (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 1 (+.f64 (neg.f64 (sqrt.f64 1/2)) (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))))
(+.f64 1 (+.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (+.f64 (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) (.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))))
(+.f64 1 (+.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))))))
(+.f64 1 (+.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2))))))
(+.f64 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (+.f64 (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))))) (+.f64 1 (.f64 1/2 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))))) (.f64 1/2 (/.f64 -3/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))))))
(+.f64 1 (+.f64 (+.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))))) (*.f64 1/2 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/4))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 x 4) 3/16) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 4) 3/16)))
(+.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/4)) (.f64 (pow.f64 x 4) 3/16))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 4) 3/16) (.f64 (pow.f64 x 6) -5/32)) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 (.f64 (pow.f64 x 4) 3/16) (*.f64 (pow.f64 x 6) -5/32))))
(+.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/4)) (+.f64 (.f64 (pow.f64 x 4) 3/16) (*.f64 (pow.f64 x 6) -5/32)))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 1 (/.f64 1/2 x)))
(+.f64 1/2 (*.f64 2 (/.f64 1/4 x)))
(+.f64 1/2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1/2) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1/2 (.f64 1 (/.f64 1/2 x))) (.f64 1 (/.f64 1/4 (pow.f64 x 3))))
(-.f64 (+.f64 1/2 (.f64 2 (/.f64 1/4 x))) (.f64 2 (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (+.f64 -1/2 (/.f64 1/4 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1 (/.f64 3/16 (pow.f64 x 5))) (+.f64 1/2 (.f64 1 (/.f64 1/2 x)))) (*.f64 1 (/.f64 1/4 (pow.f64 x 3))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 2 (/.f64 1/4 x)) (.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 2 (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 1/2 (/.f64 1/2 x)) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3)))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1 (/.f64 1/2 x)))
(-.f64 1/2 (*.f64 2 (/.f64 1/4 x)))
(-.f64 1/2 (/.f64 1/2 x))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (.f64 1 (/.f64 1/4 (pow.f64 x 3)))) (.f64 1 (/.f64 1/2 x)))
(-.f64 (.f64 2 (/.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1/4 x)) -1/2))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) -1/2))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 1/2 (.f64 1 (/.f64 1/4 (pow.f64 x 3)))) (+.f64 (.f64 1 (/.f64 1/2 x)) (*.f64 1 (/.f64 3/16 (pow.f64 x 5)))))
(-.f64 (.f64 2 (/.f64 1/8 (pow.f64 x 3))) (+.f64 (+.f64 (.f64 2 (/.f64 1/4 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))) -1/2))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 -1/2 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
1/4
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1/4)
(+.f64 1/4 (*.f64 (pow.f64 x 2) -1/8))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 3/32 (pow.f64 x 4)) 1/4))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 4) 3/32) (.f64 (pow.f64 x 2) -1/8)))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) -1/8) (.f64 (pow.f64 x 4) 3/32)))
(+.f64 (.f64 (pow.f64 x 4) 3/32) (+.f64 1/4 (.f64 (pow.f64 x 2) -1/8)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 1/4 (*.f64 -5/64 (pow.f64 x 6)))))
(+.f64 (+.f64 1/4 (.f64 (pow.f64 x 6) -5/64)) (+.f64 (.f64 (pow.f64 x 4) 3/32) (*.f64 (pow.f64 x 2) -1/8)))
(+.f64 (.f64 (pow.f64 x 2) -1/8) (+.f64 1/4 (+.f64 (.f64 (pow.f64 x 6) -5/64) (*.f64 (pow.f64 x 4) 3/32))))
(+.f64 (.f64 (pow.f64 x 4) 3/32) (+.f64 (+.f64 1/4 (.f64 (pow.f64 x 6) -5/64)) (*.f64 (pow.f64 x 2) -1/8)))
(/.f64 1/4 x)
(-.f64 (.f64 1/4 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 1 (/.f64 1/4 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/4 x) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/4 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/4 x)) (.f64 1 (/.f64 3/32 (pow.f64 x 5)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/4 x)) (.f64 (/.f64 1 (pow.f64 x 5)) 3/32)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/4 x) (/.f64 3/32 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/4 (/.f64 1 x))) (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/4 x)) (.f64 1 (/.f64 3/32 (pow.f64 x 5)))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1 (/.f64 5/64 (pow.f64 x 7)))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/4 x)) (.f64 (/.f64 1 (pow.f64 x 5)) 3/32)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/64 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1/4 x) (/.f64 3/32 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/64 (pow.f64 x 7))))
(/.f64 -1/4 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/4 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1 (/.f64 1/4 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/4 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (*.f64 1/4 (/.f64 1 x))))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 (/.f64 1/4 x)) (*.f64 1 (/.f64 3/32 (pow.f64 x 5)))))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 (/.f64 1/4 x)) (*.f64 (/.f64 1 (pow.f64 x 5)) 3/32)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/4 x) (/.f64 3/32 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/4 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1 (/.f64 5/64 (pow.f64 x 7)))) (+.f64 (.f64 1 (/.f64 1/4 x)) (.f64 1 (/.f64 3/32 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1 (/.f64 1/4 x)) (.f64 (/.f64 1 (pow.f64 x 5)) 3/32)))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/64 (pow.f64 x 7))) (+.f64 (/.f64 1/4 x) (/.f64 3/32 (pow.f64 x 5))))
-1/4
(-.f64 (*.f64 1/8 (pow.f64 x 2)) 1/4)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -3/32 (pow.f64 x 4))) 1/4)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -3/32)) 1/4)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 5/64 (pow.f64 x 6)) (*.f64 -3/32 (pow.f64 x 4)))) 1/4)
(-.f64 (+.f64 (.f64 (pow.f64 x 4) -3/32) (+.f64 (.f64 (pow.f64 x 6) 5/64) (*.f64 1/8 (pow.f64 x 2)))) 1/4)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -3/32) (*.f64 (pow.f64 x 6) 5/64))) 1/4)
(-.f64 (+.f64 (.f64 (pow.f64 x 4) -3/32) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 6) 5/64))) 1/4)
(/.f64 -1/4 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/4 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1 (/.f64 1/4 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/4 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (*.f64 1/4 (/.f64 1 x))))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 (/.f64 1/4 x)) (*.f64 1 (/.f64 3/32 (pow.f64 x 5)))))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 (/.f64 1/4 x)) (*.f64 (/.f64 1 (pow.f64 x 5)) 3/32)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/4 x) (/.f64 3/32 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 x 7))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 5))) (.f64 1/4 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1 (/.f64 5/64 (pow.f64 x 7)))) (+.f64 (.f64 1 (/.f64 1/4 x)) (.f64 1 (/.f64 3/32 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1 (/.f64 1/4 x)) (.f64 (/.f64 1 (pow.f64 x 5)) 3/32)))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/64 (pow.f64 x 7))) (+.f64 (/.f64 1/4 x) (/.f64 3/32 (pow.f64 x 5))))
(/.f64 1/4 x)
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(+.f64 (/.f64 -1/4 (hypot.f64 1 x)) 0)
(/.f64 -1/4 (hypot.f64 1 x))
(+.f64 0 (/.f64 -1/4 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(+.f64 (+.f64 1/2 (/.f64 1/4 (hypot.f64 1 x))) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 -1/4 (hypot.f64 1 x))
(+.f64 (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1/2 (/.f64 1/4 (hypot.f64 1 x))))
(/.f64 -1/4 (hypot.f64 1 x))
(+.f64 (/.f64 -1/8 (hypot.f64 1 x)) (/.f64 -1/8 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 1/2 (+.f64 (+.f64 1 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 1/2 (+.f64 (/.f64 -1/4 (hypot.f64 1 x)) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (/.f64 1/4 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 -1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (/.f64 -1/4 (hypot.f64 1 x)) 0)
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))) -1/2)
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))) (+.f64 (+.f64 -1/2 (+.f64 1/2 (/.f64 1/4 (hypot.f64 1 x)))) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 0 (/.f64 1/4 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 0 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 0 (+.f64 (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (+.f64 1/2 (/.f64 1/4 (hypot.f64 1 x))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (neg.f64 (+.f64 1 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 (/.f64 -1/4 (hypot.f64 1 x)) -1))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 1/2 (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1/2 (hypot.f64 1 x)) (/.f64 1/4 (hypot.f64 1 x))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (+.f64 -1/4 (/.f64 -1/8 (hypot.f64 1 x))) (+.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/4 (/.f64 -1/8 (hypot.f64 1 x)))) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (/.f64 -1/8 (hypot.f64 1 x)) (/.f64 1/8 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (/.f64 -1/8 (hypot.f64 1 x)) (+.f64 (/.f64 1/4 (hypot.f64 1 x)) (/.f64 -1/8 (hypot.f64 1 x))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (*.f64 3 (/.f64 -1/8 (hypot.f64 1 x))) (+.f64 (-.f64 1/2 (/.f64 -1/8 (hypot.f64 1 x))) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (neg.f64 (/.f64 1/8 (hypot.f64 1 x))) (/.f64 1/8 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (-.f64 (/.f64 -1/8 (hypot.f64 1 x)) 1/2) (+.f64 (*.f64 (/.f64 -1/8 (hypot.f64 1 x)) -3) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (-.f64 (/.f64 -1/8 (hypot.f64 1 x)) (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) (+.f64 (neg.f64 (+.f64 -1/4 (/.f64 -1/8 (hypot.f64 1 x)))) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (-.f64 (+.f64 -1/4 (/.f64 -1/8 (hypot.f64 1 x))) (/.f64 1/8 (hypot.f64 1 x))) (+.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (+.f64 (/.f64 1/4 (hypot.f64 1 x)) (/.f64 -1/8 (hypot.f64 1 x))) (*.f64 3 (/.f64 1/8 (hypot.f64 1 x))))
(/.f64 -1/4 (hypot.f64 1 x))
(-.f64 (+.f64 (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))) (/.f64 -1/8 (hypot.f64 1 x))) (+.f64 (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))) (/.f64 1/8 (hypot.f64 1 x))))
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 1/2 (+.f64 (-.f64 -1/2 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x)))) (+.f64 1 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 1/2 (+.f64 (+.f64 -1 (neg.f64 (/.f64 1 (hypot.f64 1 x)))) (+.f64 1 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (neg.f64 (/.f64 1 (hypot.f64 1 x))) 0)))
(*.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1 (hypot.f64 1 x)) 0)))
(*.f64 1/2 (+.f64 (+.f64 1 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 -1/2 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x))))))
(*.f64 1/2 (+.f64 (+.f64 -1 (neg.f64 (/.f64 1 (hypot.f64 1 x)))) (+.f64 1 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (neg.f64 (/.f64 1 (hypot.f64 1 x))) 0)))
(*.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (/.f64 -1 (hypot.f64 1 x)) 0)))
(*.f64 1 (/.f64 -1/4 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 -2 (/.f64 1/8 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 1/4 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 (/.f64 1/4 (hypot.f64 1 x)) -1)
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 -1/2 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 -1/4 (/.f64 1 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 (/.f64 -1/4 (hypot.f64 1 x)) 1)
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 -1 (/.f64 1/4 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 -1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 -1 (+.f64 (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 2 (/.f64 -1/8 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(.f64 2 (.f64 (/.f64 1/4 (hypot.f64 1 x)) -1/2))
(/.f64 -1/4 (hypot.f64 1 x))
(.f64 2 (.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/4))
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 (/.f64 1 (hypot.f64 1 x)) -1/4)
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 -1/8 (/.f64 2 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 (/.f64 -1 (hypot.f64 1 x)) 1/4)
(/.f64 -1/4 (hypot.f64 1 x))
(.f64 4 (/.f64 -1/4 (.f64 (hypot.f64 1 x) 4)))
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 (/.f64 2 (hypot.f64 1 x)) -1/8)
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 (/.f64 1/8 (hypot.f64 1 x)) -2)
(/.f64 -1/4 (hypot.f64 1 x))
(*.f64 (/.f64 -1/8 (hypot.f64 1 x)) 2)
(/.f64 -1/4 (hypot.f64 1 x))
(.f64 (.f64 (/.f64 1/4 (hypot.f64 1 x)) -1/2) 2)
(/.f64 -1/4 (hypot.f64 1 x))
(.f64 (.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/4) 2)
(/.f64 -1/4 (hypot.f64 1 x))
(.f64 (/.f64 -1/4 (.f64 (hypot.f64 1 x) 4)) 4)
(/.f64 -1/4 (hypot.f64 1 x))
(pow.f64 (/.f64 -1/4 (hypot.f64 1 x)) 1)
(/.f64 -1/4 (hypot.f64 1 x))
(neg.f64 (/.f64 1/4 (hypot.f64 1 x)))
(/.f64 -1/4 (hypot.f64 1 x))

localize8.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize34.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.1b	(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)

Compiler

Compiled 28 to 23 computations (17.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
0.0ms	x	@	0	(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
0.0ms	x	@	-inf	(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)

rewrite312.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`rational_best-4`
1420×	`rational_best-2`
1420×	`rational_best-3`
1420×	`rational_best-1`
1420×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	58	25
2	109	13
3	262	13
4	807	13
5	3864	13

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/8 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 1/8 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (*.f64 1/8 (pow.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) -3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 2) 16) (neg.f64 (/.f64 (pow.f64 x 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 16)) (neg.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 16)) (+.f64 -1 (neg.f64 (/.f64 (pow.f64 x 2) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 16)) (/.f64 (+.f64 -2 (/.f64 (pow.f64 x 2) -8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16)) (-.f64 1 (/.f64 (pow.f64 x 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16)) (+.f64 1 (neg.f64 (/.f64 (pow.f64 x 2) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 2 (*.f64 1/8 (pow.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 x 2) 16) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4)) (neg.f64 (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16)) (neg.f64 (/.f64 (pow.f64 x 2) 16))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) 1/4)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 -2 (/.f64 (*.f64 (pow.f64 x 2) 3/8) 2)) 2) (/.f64 (-.f64 -2 (/.f64 (pow.f64 x 2) 16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/8) 2) 2) (/.f64 (neg.f64 (/.f64 (pow.f64 x 2) 16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/8) 4) (/.f64 (/.f64 (pow.f64 x 2) -8) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 2 (/.f64 (*.f64 (pow.f64 x 2) 3/8) 2)) 2) (/.f64 (-.f64 2 (/.f64 (pow.f64 x 2) 16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 16)) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4)) (-.f64 -1 (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16)) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4)) (-.f64 1 (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 x 2) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/8 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 2)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 x 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 4) 1/32)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/32 (*.f64 (pow.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)) 1/64)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/16) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/64 (*.f64 2 (*.f64 (pow.f64 x 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/8 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 x 2)) 1)))))

simplify173.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational_best-simplify-75`
1128×	`rational_best-simplify-76`
836×	`rational_best-simplify-56`
794×	`rational_best-simplify-49`
652×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	793
1	265	793
2	669	793
3	2861	793

Stop Event

1×	node limit

Counts

61 → 49

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (*.f64 1/8 (pow.f64 x 2)) 0)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) -2) -2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) -1) -1)
(-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 1/8 (pow.f64 x 2)))
(-.f64 (+.f64 2 (*.f64 1/8 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) -3) -3)
(-.f64 (/.f64 (pow.f64 x 2) 16) (neg.f64 (/.f64 (pow.f64 x 2) 16)))
(-.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 16)) (neg.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16))))
(-.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 16)) (+.f64 -1 (neg.f64 (/.f64 (pow.f64 x 2) 16))))
(-.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 16)) (/.f64 (+.f64 -2 (/.f64 (pow.f64 x 2) -8)) 2))
(-.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16)) (-.f64 1 (/.f64 (pow.f64 x 2) 16)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16)) (+.f64 1 (neg.f64 (/.f64 (pow.f64 x 2) 16))))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 1) 1)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
(-.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 4) -4)
(-.f64 (+.f64 1 (+.f64 2 (*.f64 1/8 (pow.f64 x 2)))) 3)
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 16) (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)) (neg.f64 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)))
(-.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16)) (neg.f64 (/.f64 (pow.f64 x 2) 16))) 1)
(-.f64 (/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) 1/4)) 2) 1)
(-.f64 (/.f64 (+.f64 -2 (/.f64 (*.f64 (pow.f64 x 2) 3/8) 2)) 2) (/.f64 (-.f64 -2 (/.f64 (pow.f64 x 2) 16)) 2))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/8) 2) 2) (/.f64 (neg.f64 (/.f64 (pow.f64 x 2) 16)) 2))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/8) 4) (/.f64 (/.f64 (pow.f64 x 2) -8) 4))
(-.f64 (/.f64 (+.f64 2 (/.f64 (*.f64 (pow.f64 x 2) 3/8) 2)) 2) (/.f64 (-.f64 2 (/.f64 (pow.f64 x 2) 16)) 2))
(-.f64 (+.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 16)) (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)) (-.f64 -1 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)))
(-.f64 (+.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16)) (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)) (-.f64 1 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 2 (.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2))
(.f64 2 (.f64 (pow.f64 x 2) 1/16))
(*.f64 (pow.f64 x 2) 1/8)
(.f64 (.f64 1/8 (pow.f64 x 2)) 1)
(.f64 1 (.f64 1/8 (pow.f64 x 2)))
(.f64 (.f64 2 (pow.f64 x 2)) 1/16)
(.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)
(.f64 1/2 (.f64 (pow.f64 x 2) 1/4))
(.f64 1/16 (.f64 2 (pow.f64 x 2)))
(.f64 1/4 (.f64 (pow.f64 x 2) 1/2))
(.f64 (.f64 (pow.f64 x 2) 1/2) 1/4)
(.f64 (.f64 (pow.f64 x 2) 4) 1/32)
(.f64 1/32 (.f64 (pow.f64 x 2) 4))
(.f64 (.f64 2 (*.f64 (pow.f64 x 2) 4)) 1/64)
(.f64 (.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2) 2)
(.f64 (.f64 (pow.f64 x 2) 1/16) 2)
(.f64 1/64 (.f64 2 (*.f64 (pow.f64 x 2) 4)))
(/.f64 (pow.f64 x 2) 8)
(/.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) 16)
(/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)
(/.f64 (*.f64 (pow.f64 x 2) 1/2) 4)
(pow.f64 (*.f64 1/8 (pow.f64 x 2)) 1)

Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (*.f64 1/8 (pow.f64 x 2)) 0)
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) -2) -2)
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) -1) -1)
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 2 (*.f64 1/8 (pow.f64 x 2))) 2)
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) -3) -3)
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (/.f64 (pow.f64 x 2) 16) (neg.f64 (/.f64 (pow.f64 x 2) 16)))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 16)) (neg.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16))))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 16)) (+.f64 -1 (neg.f64 (/.f64 (pow.f64 x 2) 16))))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 16)) (/.f64 (+.f64 -2 (/.f64 (pow.f64 x 2) -8)) 2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16)) (-.f64 1 (/.f64 (pow.f64 x 2) 16)))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16)) (+.f64 1 (neg.f64 (/.f64 (pow.f64 x 2) 16))))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 1) 1)
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 4) -4)
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 1 (+.f64 2 (*.f64 1/8 (pow.f64 x 2)))) 3)
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) 16) (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)) (neg.f64 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (-.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16)) (neg.f64 (/.f64 (pow.f64 x 2) 16))) 1)
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) 1/4)) 2) 1)
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (/.f64 (+.f64 -2 (/.f64 (*.f64 (pow.f64 x 2) 3/8) 2)) 2) (/.f64 (-.f64 -2 (/.f64 (pow.f64 x 2) 16)) 2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/8) 2) 2) (/.f64 (neg.f64 (/.f64 (pow.f64 x 2) 16)) 2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/8) 4) (/.f64 (/.f64 (pow.f64 x 2) -8) 4))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (/.f64 (+.f64 2 (/.f64 (*.f64 (pow.f64 x 2) 3/8) 2)) 2) (/.f64 (-.f64 2 (/.f64 (pow.f64 x 2) 16)) 2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 (+.f64 -1 (/.f64 (pow.f64 x 2) 16)) (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)) (-.f64 -1 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 (+.f64 1 (/.f64 (pow.f64 x 2) 16)) (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)) (-.f64 1 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 2 (.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 2 (.f64 (pow.f64 x 2) 1/16))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/8)
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 1/8 (pow.f64 x 2)) 1)
(*.f64 1/8 (pow.f64 x 2))
(.f64 1 (.f64 1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 2 (pow.f64 x 2)) 1/16)
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/2 (.f64 (pow.f64 x 2) 1/4))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/16 (.f64 2 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/4 (.f64 (pow.f64 x 2) 1/2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/2) 1/4)
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 4) 1/32)
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/32 (.f64 (pow.f64 x 2) 4))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 2 (*.f64 (pow.f64 x 2) 4)) 1/64)
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2) 2)
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/16) 2)
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/64 (.f64 2 (*.f64 (pow.f64 x 2) 4)))
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (pow.f64 x 2) 8)
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) 16)
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/2) 4)
(*.f64 1/8 (pow.f64 x 2))
(pow.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(*.f64 1/8 (pow.f64 x 2))

localize43.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
	0.0b	(/.f64 1/2 (hypot.f64 1 x))
✓	1.6b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 37 to 31 computations (16.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
0.0ms	x	@	-inf	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
0.0ms	x	@	0	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

rewrite355.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`rational_best-simplify-54`
676×	`rational_best-simplify-1`
524×	`rational_best-simplify-47`
506×	`rational_best-simplify-83`
464×	`rational_best-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	71	29
2	133	29
3	339	29
4	1160	29
5	6489	29

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (/.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) (*.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (+.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (/.f64 (*.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) (*.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (/.f64 (+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) -1) (+.f64 1 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))) (-.f64 1 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4) (*.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))))))

simplify270.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1400×	`rational_best-simplify-51`
1126×	`rational_best-simplify-67`
988×	`rational_best-simplify-3`
888×	`rational_best-simplify-75`
746×	`rational_best-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	2376
1	424	2184
2	916	2118
3	2725	2096

Stop Event

1×	node limit

Counts

62 → 96

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 1/2 (/.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 2))
(+.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))
(+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(+.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(+.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))
(+.f64 -1 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))
(+.f64 (*.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(+.f64 (.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) (.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
(+.f64 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))
(+.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (+.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))
(+.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 4))
(+.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (/.f64 (*.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) 2))
(+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))
(+.f64 (.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))) (.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))
(+.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1) 1)
(+.f64 (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) (/.f64 (+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4))
(+.f64 (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) -1) (+.f64 1 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2))))
(+.f64 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)) 1)
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
(+.f64 (-.f64 -1 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))) (-.f64 1 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 1/2 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) -1)
(*.f64 2 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))
(.f64 2 (.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 1/2)
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))
(.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 1/4)
(*.f64 -2 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(.f64 1/4 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4))
(.f64 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4) 1/8)
(.f64 1/8 (.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4))
(.f64 (.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) -1)
(/.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 2)
(/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 4)
(/.f64 (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4) 8)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 2) -2)
(/.f64 (+.f64 (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4) (.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) 4)) 16)
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))

Outputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 69/1024 (pow.f64 x 6)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -1843/32768 (pow.f64 x 8)))))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))))) (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))))
(-.f64 (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))) -1))
(-.f64 (/.f64 1/32 (*.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) -1))
(-.f64 (-.f64 (/.f64 1/32 (*.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) -1))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) (.f64 -1/2 (/.f64 -3/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) (.f64 -1/2 (/.f64 -3/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))))
(-.f64 (+.f64 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (.f64 -1/2 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3)))) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) -1))
(+.f64 (-.f64 (+.f64 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (.f64 -3/16 (/.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) 1)
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 (*.f64 1 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) (+.f64 (sqrt.f64 1/2) -1))
(+.f64 (-.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2)) 1)
(-.f64 1 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))) (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))))) (sqrt.f64 1/2))
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(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
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(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

localize39.0ms (0.1%)

Compiler: Compiled 31 to 31 computations (0% saved)

eval1.5s (3.4%)

Compiler: Compiled 17525 to 15803 computations (9.8% saved)

prune482.0ms (1.1%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	696	3	699
Fresh	0	8	8
Picked	0	1	1
Done	2	4	6
Total	698	16	714

Error

Counts

714 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.7b	(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
	31.4b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	14.8b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
▶	31.7b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	31.0b	(-.f64 1 (sqrt.f64 1/2))
✓	30.5b	(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
▶	14.3b	(+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
	30.9b	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 -1/4 x) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))
▶	31.2b	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
✓	14.8b	(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
	31.7b	(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
	33.2b	(+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6))))
	32.9b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
▶	33.3b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
✓	32.6b	(*.f64 1/8 (pow.f64 x 2))
	46.8b	0

Compiler

Compiled 395 to 350 computations (11.4% saved)

localize194.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 -1/4 (hypot.f64 1 x))
	0.0b	(/.f64 1/4 (hypot.f64 1 x))
	0.0b	(-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))
✓	1.1b	(+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))

Compiler

Compiled 142 to 123 computations (13.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

-inf

(+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))

0.0ms

inf

(+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))

0.0ms

(+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))

rewrite240.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1214×	`rational_best-4`
1214×	`rational_best-2`
1214×	`rational_best-3`
1214×	`rational_best-1`
1214×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	87
1	163	81
2	339	41
3	999	33
4	3442	33

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 1 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 (/.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 (+.f64 1 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)) (*.f64 -3 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2) (/.f64 (neg.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2) (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)) (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)) (+.f64 (/.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))) (neg.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4) 2) (+.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4) 2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -8) (+.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -8) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (neg.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) -2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 1 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))))

simplify341.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

910×	`rational_best-simplify-3`
898×	`rational_best-simplify-64`
780×	`rational_best-simplify-75`
762×	`rational_best-simplify-76`
730×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	3296
1	434	3280
2	994	1720
3	3065	1720

Stop Event

1×	node limit

Counts

50 → 81

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (.f64 -1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2)))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (.f64 -1 (sqrt.f64 1/2))))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (*.f64 -1 (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 1/2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2))))))
(-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(-.f64 (+.f64 1 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(-.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 0)
(-.f64 0 (-.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 0 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 1 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(-.f64 0 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 (/.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(-.f64 (+.f64 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 (+.f64 1 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 (+.f64 1 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)) (*.f64 -3 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))
(-.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2) (/.f64 (neg.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2))
(-.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2) (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))))
(-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)) (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))))
(-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)) (+.f64 (/.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(-.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))) (neg.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))
(-.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4) 2) (+.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4) 2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -8) (+.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -8) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (neg.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4))))
(.f64 1/4 (.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 4))
(*.f64 1 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) -2))
(*.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) -2) 1/2)
(.f64 (.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 4) 1/4)
(/.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) -2) 2)
(/.f64 (*.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 4) 4)
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) -2) 4) 8)
(pow.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(neg.f64 (-.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(neg.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 1 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))

Outputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8)))))
(+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -1843/32768 (pow.f64 x 8))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -1843/32768 (pow.f64 x 8)))))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (.f64 -1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (.f64 -1 (sqrt.f64 1/2))) (.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 1 (neg.f64 (sqrt.f64 1/2))) (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))))
(-.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 -1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 1 (-.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2)))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))))) (.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 1 (+.f64 (neg.f64 (sqrt.f64 1/2)) (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))))) (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))))
(-.f64 (-.f64 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (+.f64 -1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (.f64 -1 (sqrt.f64 1/2))))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (+.f64 (.f64 -1/2 (/.f64 -3/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))))))) (.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 1 (+.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) (.f64 -1/2 (/.f64 (/.f64 -3/16 (pow.f64 x 3)) (sqrt.f64 1/2)))))) (.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 -3/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (-.f64 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (+.f64 -1 (sqrt.f64 1/2)))) (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))
(-.f64 (-.f64 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (+.f64 (sqrt.f64 1/2) (.f64 1/2 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3))))) (+.f64 -1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (*.f64 -1 (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 1 (+.f64 (neg.f64 (sqrt.f64 1/2)) (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))))
(-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (+.f64 (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) (.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))))
(+.f64 1 (+.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))) (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))))))
(+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (-.f64 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (+.f64 -1 (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (/.f64 -1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2))))))
(+.f64 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (+.f64 (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))) (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))))) (+.f64 1 (.f64 1/2 (/.f64 -3/16 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))))
(+.f64 (+.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))) (.f64 1 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8)))))) (+.f64 1 (*.f64 1/2 (/.f64 (/.f64 -3/16 (pow.f64 x 3)) (sqrt.f64 1/2)))))
(+.f64 (-.f64 (/.f64 1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))) (+.f64 -1 (sqrt.f64 1/2))) (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (.f64 1/2 (/.f64 -3/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))))))
(+.f64 1 (+.f64 (-.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (/.f64 -1/32 (.f64 (pow.f64 x 2) (sqrt.f64 1/8))))) (*.f64 1/2 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3)))))
(-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(+.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(+.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 0)
(-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(+.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 0 (-.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(+.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 0 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 1 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(+.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 0 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(+.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (-.f64 -1 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -4)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (-.f64 -1 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -4)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4) (-.f64 -1 (/.f64 (.f64 3 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -4)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -4) (+.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 2) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(+.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
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(neg.f64 (-.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(+.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(neg.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (+.f64 1 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(+.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

localize42.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
✓	0.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
0.0ms	x	@	inf	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
0.0ms	x	@	-inf	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
0.0ms	x	@	0	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))

rewrite586.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`rational_best-simplify-54`
752×	`rational_best-simplify-62`
636×	`rational_best-simplify-1`
508×	`rational_best-simplify-47`
472×	`rational_best-simplify-83`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	65	40
2	123	40
3	314	40
4	1085	40
5	6181	40

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (/.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))) (*.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x 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(+.f64 1/2 (/.f64 1/2 x))) 2))) (-.f64 1 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (*.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)) (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (sqrt.f64 (+.f64 (/.f64 1/8 x) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (*.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/8 x) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (/.f64 1/4 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/4 x) 1/4)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (*.f64 1/2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) 2)) (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 2 x) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/8 x) 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 (+.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) 4)) (sqrt.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/4 x)) (sqrt.f64 (-.f64 (+.f64 x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (+.f64 x x) -2)) (sqrt.f64 (/.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))))

simplify401.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational_best-simplify-108`
932×	`rational_best-simplify-47`
924×	`rational_best-simplify-1`
632×	`rational_best-simplify-50`
438×	`rational_best-simplify-65`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	4246
1	557	3518
2	1365	3336
3	6049	3318

Stop Event

1×	node limit

Counts

130 → 159

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1/2 (/.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) 2))
(+.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))))
(+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 0)
(+.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(+.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(+.f64 -1 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)))
(+.f64 (*.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))) (.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(+.f64 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))
(+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) (+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))))
(+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) (/.f64 (*.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))) 2))
(+.f64 (-.f64 1/4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) (/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 4))
(+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))
(+.f64 (.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))) (.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))))
(+.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1) 1)
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4) (/.f64 (+.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) 4))
(+.f64 (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (-.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 (+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) -1) (+.f64 1 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))))
(+.f64 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)) 1)
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(+.f64 (-.f64 -1 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))) (-.f64 1 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 1/2 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) -1)
(*.f64 2 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)))
(.f64 2 (.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 2 (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(.f64 (+.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) 1/2)
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4) 1/4)
(*.f64 -2 (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(.f64 1/4 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4))
(.f64 1/4 (-.f64 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)))
(.f64 (.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)) 1/8)
(.f64 1/8 (.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)))
(.f64 (.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) -1)
(/.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) 2)
(/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)) 8)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 2) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)) (.f64 2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4))) 16)
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(+.f64 0 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) 1)
(+.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 3) 2))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3) 4))
(-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) -1)
(-.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)))
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 3) 2) (/.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 2))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4))
(*.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))
(*.f64 1/2 (sqrt.f64 (-.f64 (/.f64 2 x) -2)))
(.f64 1/2 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(*.f64 2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))
(.f64 2 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 2 (sqrt.f64 (+.f64 (/.f64 1/8 x) 1/8)))
(.f64 2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/8 x) 1/8))))
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)
(*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) 1/4)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 2)
(*.f64 -2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))
(.f64 1/4 (-.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)))
(.f64 (.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) 1/8)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 (+.f64 1 x) x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1 x)))
(.f64 1/8 (.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)))
(.f64 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (/.f64 1/4 x) 1/4)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/4 x) 1/4)) (sqrt.f64 2))
(.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (.f64 1/2 (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 (+.f64 1 x) 2)))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 1 x))) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) 2)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 2 x) -2)) 1/2)
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/8 x) 1/8)) 2)
(*.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 (+.f64 1 x) 4)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) 4)) (sqrt.f64 (/.f64 2 x)))
(*.f64 (sqrt.f64 (/.f64 1/4 x)) (sqrt.f64 (-.f64 (+.f64 x x) -2)))
(*.f64 (sqrt.f64 (-.f64 (+.f64 x x) -2)) (sqrt.f64 (/.f64 1/4 x)))
(/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) -2)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))) 16)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

Outputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (sqrt.f64 1/8) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) -1))
(-.f64 (+.f64 1 (/.f64 (/.f64 1/32 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (sqrt.f64 1/8) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/128 (/.f64 1 (.f64 (sqrt.f64 1/32) (pow.f64 x 3)))))))
(-.f64 (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 (+.f64 (.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (*.f64 1 (/.f64 (/.f64 1/128 (sqrt.f64 1/32)) (pow.f64 x 3))))) -1))
(-.f64 (+.f64 1 (/.f64 (/.f64 1/32 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (.f64 (sqrt.f64 1/32) (pow.f64 x 3))))))
(+.f64 (-.f64 (/.f64 (/.f64 1/32 (sqrt.f64 1/8)) (pow.f64 x 2)) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (+.f64 (sqrt.f64 1/2) (/.f64 1/128 (.f64 (sqrt.f64 1/32) (pow.f64 x 3)))))) 1)
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (sqrt.f64 1/8) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) -1))
(-.f64 (+.f64 1 (/.f64 (/.f64 1/32 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (sqrt.f64 1/8) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/128 (/.f64 1 (.f64 (sqrt.f64 1/32) (pow.f64 x 3)))))))
(-.f64 (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 (+.f64 (.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (*.f64 1 (/.f64 (/.f64 1/128 (sqrt.f64 1/32)) (pow.f64 x 3))))) -1))
(-.f64 (+.f64 1 (/.f64 (/.f64 1/32 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (.f64 (sqrt.f64 1/32) (pow.f64 x 3))))))
(+.f64 (-.f64 (/.f64 (/.f64 1/32 (sqrt.f64 1/8)) (pow.f64 x 2)) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (+.f64 (sqrt.f64 1/2) (/.f64 1/128 (.f64 (sqrt.f64 1/32) (pow.f64 x 3)))))) 1)
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(+.f64 (sqrt.f64 1/2) (*.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (sqrt.f64 1/8) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))))
(-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (/.f64 (/.f64 1/32 (sqrt.f64 1/8)) (pow.f64 x 2)))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/128 (/.f64 1 (.f64 (sqrt.f64 1/32) (pow.f64 x 3)))))) (.f64 1/32 (/.f64 1 (.f64 (sqrt.f64 1/8) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 (/.f64 1/128 (sqrt.f64 1/32)) (pow.f64 x 3))))) (*.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (.f64 (sqrt.f64 1/32) (pow.f64 x 3))))) (/.f64 (/.f64 1/32 (sqrt.f64 1/8)) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (+.f64 (sqrt.f64 1/2) (/.f64 1/128 (.f64 (sqrt.f64 1/32) (pow.f64 x 3))))) (/.f64 (/.f64 1/32 (sqrt.f64 1/8)) (pow.f64 x 2)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(+.f64 (sqrt.f64 1/2) (*.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (sqrt.f64 1/8) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))))
(-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (/.f64 (/.f64 1/32 (sqrt.f64 1/8)) (pow.f64 x 2)))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/128 (/.f64 1 (.f64 (sqrt.f64 1/32) (pow.f64 x 3)))))) (.f64 1/32 (/.f64 1 (.f64 (sqrt.f64 1/8) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (.f64 1 (/.f64 (/.f64 1/128 (sqrt.f64 1/32)) (pow.f64 x 3))))) (*.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (.f64 (sqrt.f64 1/32) (pow.f64 x 3))))) (/.f64 (/.f64 1/32 (sqrt.f64 1/8)) (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (+.f64 (sqrt.f64 1/2) (/.f64 1/128 (.f64 (sqrt.f64 1/32) (pow.f64 x 3))))) (/.f64 (/.f64 1/32 (sqrt.f64 1/8)) (pow.f64 x 2)))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 1/2 (/.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) 2))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 0)
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (+.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 -1 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)) (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2)))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (*.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))) (+.f64 -1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (.f64 3 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))) (.f64 -1 (+.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
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(+.f64 (+.f64 1/4 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4)) (/.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 6) 8))
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(+.f64 (+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1) 1)
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(*.f64 (sqrt.f64 (/.f64 1/4 x)) (sqrt.f64 (-.f64 (+.f64 x x) -2)))
(sqrt.f64 (*.f64 1/2 (/.f64 (+.f64 1 x) x)))
(sqrt.f64 (*.f64 (/.f64 1/2 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 (+.f64 x x) -2)) (sqrt.f64 (/.f64 1/4 x)))
(sqrt.f64 (*.f64 1/2 (/.f64 (+.f64 1 x) x)))
(sqrt.f64 (*.f64 (/.f64 1/2 x) (+.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 2)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) 4)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) -2)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) 8)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))) 16)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))

localize19.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.1b	(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
0.0ms	x	@	-inf	(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
0.0ms	x	@	inf	(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)

rewrite398.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`rational_best-4`
1170×	`rational_best-2`
1170×	`rational_best-3`
1170×	`rational_best-1`
1170×	`exponential-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	64	25
2	111	13
3	239	13
4	673	13
5	3047	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/8 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/8 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 1/8 (pow.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x 2) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (+.f64 2 (*.f64 1/8 (pow.f64 x 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4) (+.f64 (*.f64 (pow.f64 x 2) 1/16) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4) (/.f64 (*.f64 (*.f64 (pow.f64 x 2) 3/2) 1/8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4) (/.f64 (*.f64 (pow.f64 x 2) 3/8) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4) (+.f64 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 2 (*.f64 (pow.f64 x 2) 1/16))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/16) -1) (+.f64 (+.f64 2 (*.f64 (pow.f64 x 2) 1/16)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 2 (*.f64 (pow.f64 x 2) 1/16)) -1) (+.f64 (*.f64 (pow.f64 x 2) 1/16) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/16) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4)) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x 2) 3/2) 1/8) 2) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 x 2) 3/8) 4) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 x 2) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/8 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/8 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 2)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 x 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x x) 2) 1/32)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/16) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/32 (pow.f64 (+.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 8) 1/64)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (neg.f64 (*.f64 (pow.f64 x 2) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/64 (*.f64 (pow.f64 x 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) 1/128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/8 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 2) (-.f64 -8 (*.f64 (pow.f64 x 2) 1/4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 x 2)) 1)))))

simplify516.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1554×	`rational_best-simplify-57`
1012×	`rational_best-simplify-51`
792×	`rational_best-simplify-3`
632×	`rational_best-simplify-1`
522×	`rational_best-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	717
1	188	717
2	445	717
3	1866	717
4	7569	717

Stop Event

1×	node limit

Counts

51 → 43

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 1/8 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 x 2)) -1))
(+.f64 (.f64 (pow.f64 x 2) 1/16) (.f64 (pow.f64 x 2) 1/16))
(+.f64 -1 (+.f64 (+.f64 2 (*.f64 1/8 (pow.f64 x 2))) -1))
(+.f64 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4) (+.f64 (.f64 (pow.f64 x 2) 1/16) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4)))
(+.f64 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4) (/.f64 (.f64 (*.f64 (pow.f64 x 2) 3/2) 1/8) 2))
(+.f64 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4) (/.f64 (.f64 (pow.f64 x 2) 3/8) 4))
(+.f64 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4) (+.f64 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 2 (*.f64 (pow.f64 x 2) 1/16))) 2) -1))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/16) -1) (+.f64 (+.f64 2 (.f64 (pow.f64 x 2) 1/16)) -1))
(+.f64 (+.f64 (+.f64 2 (.f64 (pow.f64 x 2) 1/16)) -1) (+.f64 (.f64 (pow.f64 x 2) 1/16) -1))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/16) (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4))
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 x 2) 3/2) 1/8) 2) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) 3/8) 4) (/.f64 (.f64 1/8 (pow.f64 x 2)) 4))
(*.f64 1/8 (pow.f64 x 2))
(.f64 2 (.f64 (pow.f64 x 2) 1/16))
(*.f64 (pow.f64 x 2) 1/8)
(.f64 (.f64 1/8 (pow.f64 x 2)) 1)
(.f64 1 (.f64 1/8 (pow.f64 x 2)))
(.f64 (.f64 2 (pow.f64 x 2)) 1/16)
(.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)
(.f64 1/2 (.f64 (pow.f64 x 2) 1/4))
(.f64 1/16 (.f64 2 (pow.f64 x 2)))
(.f64 1/4 (.f64 (pow.f64 x 2) 1/2))
(*.f64 (pow.f64 (+.f64 x x) 2) 1/32)
(.f64 (.f64 (pow.f64 x 2) 1/2) 1/4)
(.f64 (.f64 (pow.f64 x 2) 1/16) 2)
(*.f64 1/32 (pow.f64 (+.f64 x x) 2))
(.f64 (.f64 (pow.f64 x 2) 8) 1/64)
(.f64 -2 (neg.f64 (.f64 (pow.f64 x 2) 1/16)))
(.f64 1/64 (.f64 (pow.f64 x 2) 8))
(.f64 (.f64 2 (*.f64 (pow.f64 x 2) 8)) 1/128)
(/.f64 (pow.f64 x 2) 8)
(/.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) 16)
(/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)
(/.f64 (*.f64 (pow.f64 x 2) 1/2) 4)
(/.f64 (-.f64 (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) 4) 2) (-.f64 -8 (*.f64 (pow.f64 x 2) 1/4))) 4)
(pow.f64 (*.f64 1/8 (pow.f64 x 2)) 1)

Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 0)
(*.f64 1/8 (pow.f64 x 2))
(+.f64 0 (*.f64 1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 x 2)) -1))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 1/16) (.f64 (pow.f64 x 2) 1/16))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 -1 (+.f64 (+.f64 2 (*.f64 1/8 (pow.f64 x 2))) -1))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4) (+.f64 (.f64 (pow.f64 x 2) 1/16) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4) (/.f64 (.f64 (*.f64 (pow.f64 x 2) 3/2) 1/8) 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4) (/.f64 (.f64 (pow.f64 x 2) 3/8) 4))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4) (+.f64 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 2 (*.f64 (pow.f64 x 2) 1/16))) 2) -1))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/16) -1) (+.f64 (+.f64 2 (.f64 (pow.f64 x 2) 1/16)) -1))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (+.f64 (+.f64 2 (.f64 (pow.f64 x 2) 1/16)) -1) (+.f64 (.f64 (pow.f64 x 2) 1/16) -1))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/16) (/.f64 (.f64 1/8 (pow.f64 x 2)) 4)) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (/.f64 (.f64 (.f64 (pow.f64 x 2) 3/2) 1/8) 2) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) 3/8) 4) (/.f64 (.f64 1/8 (pow.f64 x 2)) 4))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 2 (.f64 (pow.f64 x 2) 1/16))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/8)
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 1/8 (pow.f64 x 2)) 1)
(*.f64 1/8 (pow.f64 x 2))
(.f64 1 (.f64 1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 2 (pow.f64 x 2)) 1/16)
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/4) 1/2)
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/2 (.f64 (pow.f64 x 2) 1/4))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/16 (.f64 2 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/4 (.f64 (pow.f64 x 2) 1/2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 x x) 2) 1/32)
(.f64 (.f64 (pow.f64 x 2) 1/2) 1/4)
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) 1/16) 2)
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/32 (pow.f64 (+.f64 x x) 2))
(*.f64 (pow.f64 (+.f64 x x) 2) 1/32)
(.f64 (.f64 (pow.f64 x 2) 8) 1/64)
(*.f64 1/8 (pow.f64 x 2))
(.f64 -2 (neg.f64 (.f64 (pow.f64 x 2) 1/16)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/64 (.f64 (pow.f64 x 2) 8))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 2 (*.f64 (pow.f64 x 2) 8)) 1/128)
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (pow.f64 x 2) 8)
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) 16)
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/4) 2)
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/2) 4)
(*.f64 1/8 (pow.f64 x 2))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) 4) 2) (-.f64 -8 (*.f64 (pow.f64 x 2) 1/4))) 4)
(/.f64 (-.f64 (.f64 2 (-.f64 (.f64 1/8 (pow.f64 x 2)) 4)) (-.f64 -8 (*.f64 (pow.f64 x 2) 1/4))) 4)
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 -8 (.f64 2 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 4)))) 4)
(-.f64 (/.f64 (pow.f64 x 2) 16) (-.f64 -2 (/.f64 (.f64 2 (-.f64 (.f64 1/8 (pow.f64 x 2)) 4)) 4)))
(-.f64 (.f64 (pow.f64 x 2) 1/16) (-.f64 -2 (/.f64 (.f64 2 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 4)) 4)))
(pow.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(*.f64 1/8 (pow.f64 x 2))

localize48.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -11/128 (pow.f64 x 4))
✓	17.5b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))

Compiler

Compiled 33 to 26 computations (21.2% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
0.0ms	x	@	inf	(*.f64 -11/128 (pow.f64 x 4))
0.0ms	x	@	0	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
0.0ms	x	@	0	(*.f64 -11/128 (pow.f64 x 4))
0.0ms	x	@	-inf	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))

rewrite428.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1224×	`rational_best-simplify-86`
716×	`rational_best-simplify-83`
626×	`rational_best-simplify-47`
566×	`rational_best-simplify-1`
532×	`rational_best-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	80	44
2	146	44
3	333	44
4	1116	44
5	6746	44

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -11/128 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 x 4) -11/32) 16) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) -11/32) 16) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 x 4) -11/32) 16) (/.f64 (/.f64 (*.f64 (pow.f64 x 4) -33/128) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 x 4) -11/32) 16) (/.f64 (*.f64 (pow.f64 x 4) -33/128) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -11/128 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 4) 11/128))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 4) -11/64) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 4) -11/64) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 4) -11/32) (*.f64 (pow.f64 x 4) -33/128))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 4) -33/128) (*.f64 (pow.f64 x 4) -11/64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x 4) -11/32) 16) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) 2)) (neg.f64 (/.f64 (*.f64 (pow.f64 x 4) -11/32) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 4) -33/128) 2) 2) (/.f64 (/.f64 (*.f64 -11/128 (pow.f64 x 4)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) -33/128) 4) (/.f64 (*.f64 (pow.f64 x 4) 11/128) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 11/128) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) -11/64) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) -11/32) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 4) -11/32)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 4) -11/32)) (*.f64 2 (*.f64 (pow.f64 x 4) -11/32))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 4) 11/128))))))

simplify240.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1492×	`rational_best-simplify-52`
1464×	`rational_best-simplify-57`
1464×	`rational_best-simplify-48`
852×	`rational_best-simplify-51`
744×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	4833
1	620	4761
2	1875	3809

Stop Event

1×	node limit

Counts

107 → 156

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (.f64 (pow.f64 x 2) -1/8)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 11/128) (/.f64 (pow.f64 x 2) -16)) (/.f64 (pow.f64 x 2) 16)))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (/.f64 (pow.f64 x 2) -16)) (+.f64 (/.f64 (*.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) -16))))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) -11/32) (pow.f64 x 2)) 8)) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) 2)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 0)
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) (+.f64 (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (/.f64 (pow.f64 x 2) -16)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) 16))))
(-.f64 0 (-.f64 (.f64 (pow.f64 x 2) -1/8) (.f64 -11/128 (pow.f64 x 4))))
(-.f64 0 (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8)) (neg.f64 (*.f64 (pow.f64 x 4) -11/64))))
(-.f64 0 (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (*.f64 (pow.f64 x 2) -1/4)))
(-.f64 (.f64 (pow.f64 x 4) 11/128) (-.f64 (.f64 (pow.f64 x 2) -1/8) (*.f64 (pow.f64 x 4) -11/64)))
(-.f64 (.f64 (pow.f64 x 4) -11/64) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) -1/8)))
(-.f64 (+.f64 (.f64 (pow.f64 x 4) -11/64) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))))
(-.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)))
(-.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)) 0))
(-.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) 1/4)) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -11/64)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -11/64)) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 16))))
(-.f64 (.f64 (pow.f64 x 4) -11/32) (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8)) (.f64 (pow.f64 x 4) -11/64)))
(-.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (.f64 (pow.f64 x 2) 1/4)))
(-.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) -11/32) (pow.f64 x 2)) 8)))
(-.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (*.f64 (pow.f64 x 2) -1/8)))
(-.f64 (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) 16)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (/.f64 (pow.f64 x 2) -16)))
(-.f64 (/.f64 (pow.f64 x 2) 16) (+.f64 (*.f64 (pow.f64 x 4) 11/128) (/.f64 (pow.f64 x 2) -16)))
(-.f64 (/.f64 (pow.f64 x 2) 16) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (*.f64 3 (/.f64 (pow.f64 x 2) -16))))
(-.f64 (/.f64 (pow.f64 x 2) 16) (+.f64 (/.f64 (pow.f64 x 2) -16) (*.f64 (pow.f64 x 4) 11/128)))
(-.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8)) (*.f64 (pow.f64 x 2) -1/4))
(-.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 3 (.f64 (pow.f64 x 4) 11/128))) 2) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) -16)))
(-.f64 (.f64 -3 (/.f64 (pow.f64 x 2) -16)) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)) (/.f64 (pow.f64 x 2) -16)))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) -11/32) (pow.f64 x 2)) 8) (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2))
(-.f64 (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 16)) (/.f64 (pow.f64 x 2) -16))
(-.f64 (.f64 (pow.f64 x 4) -33/128) (+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/8) (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2)) (/.f64 (.f64 (pow.f64 x 4) -33/128) 2)))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) -33/128) 2) (+.f64 (.f64 (pow.f64 x 2) -1/8) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) 2)))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 4) -11/32)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 3 (*.f64 (pow.f64 x 4) 11/128))))
(-.f64 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 4) (/.f64 (.f64 (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) 16)) -3) 2))
(-.f64 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 4) (.f64 -3 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 4)))
(-.f64 (+.f64 (/.f64 (.f64 1/8 (pow.f64 x 2)) 4) (/.f64 (pow.f64 x 2) 16)) (-.f64 (.f64 (pow.f64 x 4) 11/128) (/.f64 (*.f64 1/8 (pow.f64 x 2)) 4)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x 4) -11/32) 16) (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2)) (-.f64 (.f64 (pow.f64 x 2) -1/8) (/.f64 (.f64 (pow.f64 x 4) -11/32) 16)))
(-.f64 (+.f64 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 4) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) 16))) (neg.f64 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 4)))
(-.f64 (-.f64 (/.f64 (pow.f64 x 2) 16) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))) (*.f64 3 (/.f64 (pow.f64 x 2) -16)))
(-.f64 (-.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (/.f64 (pow.f64 x 2) -16))) (/.f64 (pow.f64 x 2) -16))
(-.f64 (neg.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8))) (neg.f64 (*.f64 (pow.f64 x 4) -11/64)))
(-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x 2) 16) (/.f64 (+.f64 (.f64 (pow.f64 x 4) -11/32) (pow.f64 x 2)) 8)) 2) (/.f64 (-.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (.f64 (pow.f64 x 4) -33/128) 2)) 2))
(-.f64 (/.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 3 (.f64 (pow.f64 x 4) 11/128))) 2) 2) (/.f64 (+.f64 (.f64 3 (/.f64 (pow.f64 x 2) -16)) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) -2)) 2))
(-.f64 (/.f64 (.f64 3 (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) 16))) 2) (/.f64 (+.f64 (/.f64 (*.f64 -11/128 (pow.f64 x 4)) -2) (/.f64 (pow.f64 x 2) -16)) 2))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 3) 4) (/.f64 (-.f64 (.f64 (pow.f64 x 2) -1/8) (*.f64 -11/128 (pow.f64 x 4))) 4))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) -11/64) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) 16))) 2) (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/8) (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2)) (/.f64 (pow.f64 x 2) -16)) 2))
(-.f64 (+.f64 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 4) (.f64 -11/128 (pow.f64 x 4))) (-.f64 (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) -16)) (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 4)))
(-.f64 (+.f64 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 4) (/.f64 (pow.f64 x 2) 16)) (-.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 4)))
(-.f64 (+.f64 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 4) (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2)) (-.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 4)))
(-.f64 (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8))) (+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) -1/8))))
(-.f64 (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (/.f64 (.f64 (pow.f64 x 4) -33/128) 2)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (/.f64 (.f64 (pow.f64 x 4) -33/128) 2))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -11/64)))
(.f64 1/8 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) -11/32) (.f64 (pow.f64 x 2) 1/2))))
(.f64 2 (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) 16)))
(.f64 2 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 1/2))
(.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 1)
(.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))))
(.f64 -1 (-.f64 (.f64 (pow.f64 x 2) -1/8) (*.f64 -11/128 (pow.f64 x 4))))
(.f64 (+.f64 (.f64 (pow.f64 x 4) -11/64) (*.f64 (pow.f64 x 2) 1/4)) 1/2)
(.f64 -2 (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (/.f64 (pow.f64 x 2) -16)))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 4) -11/64) (*.f64 (pow.f64 x 2) 1/4)))
(.f64 (-.f64 (.f64 (pow.f64 x 2) -1/8) (*.f64 -11/128 (pow.f64 x 4))) -1)
(.f64 1/4 (+.f64 (.f64 (pow.f64 x 4) -11/32) (*.f64 (pow.f64 x 2) 1/2)))
(.f64 (+.f64 (.f64 (pow.f64 x 4) -11/32) (*.f64 (pow.f64 x 2) 1/2)) 1/4)
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) -11/32) (.f64 (pow.f64 x 2) 1/2))) 1/8)
(.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 1/2) 2)
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 1)
(/.f64 (+.f64 (.f64 (pow.f64 x 4) -11/64) (.f64 (pow.f64 x 2) 1/4)) 2)
(/.f64 (-.f64 (.f64 (pow.f64 x 2) -1/8) (.f64 -11/128 (pow.f64 x 4))) -1)
(/.f64 (+.f64 (.f64 (pow.f64 x 4) -11/32) (.f64 (pow.f64 x 2) 1/2)) 4)
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) -11/32) (*.f64 (pow.f64 x 2) 1/2))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 4) -11/32)) (pow.f64 x 2)) 8)
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) -11/32) (.f64 (pow.f64 x 2) 1/2))) (.f64 2 (+.f64 (.f64 (pow.f64 x 4) -11/32) (.f64 (pow.f64 x 2) 1/2)))) 16)
(/.f64 (+.f64 (pow.f64 x 2) (.f64 2 (.f64 (pow.f64 x 4) -11/32))) 8)
(pow.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 1)
(neg.f64 (-.f64 (.f64 (pow.f64 x 2) -1/8) (.f64 -11/128 (pow.f64 x 4))))
(neg.f64 (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8)) (neg.f64 (*.f64 (pow.f64 x 4) -11/64))))
(neg.f64 (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (*.f64 (pow.f64 x 2) -1/4)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) 0)
(+.f64 0 (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2))
(+.f64 (/.f64 (.f64 (pow.f64 x 4) -11/32) 16) (+.f64 (/.f64 (.f64 (pow.f64 x 4) -11/32) 16) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) 2)))
(+.f64 (/.f64 (.f64 (pow.f64 x 4) -11/32) 16) (/.f64 (/.f64 (.f64 (pow.f64 x 4) -33/128) 2) 2))
(+.f64 (/.f64 (.f64 (pow.f64 x 4) -11/32) 16) (/.f64 (.f64 (pow.f64 x 4) -33/128) 4))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)))
(-.f64 (*.f64 -11/128 (pow.f64 x 4)) 0)
(-.f64 0 (*.f64 (pow.f64 x 4) 11/128))
(-.f64 (.f64 (pow.f64 x 4) -11/64) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 (pow.f64 x 4) -11/64) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) 1/4)))
(-.f64 (.f64 (pow.f64 x 4) -11/32) (.f64 (pow.f64 x 4) -33/128))
(-.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2))
(-.f64 (.f64 (pow.f64 x 4) -33/128) (.f64 (pow.f64 x 4) -11/64))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x 4) -11/32) 16) (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2)) (neg.f64 (/.f64 (*.f64 (pow.f64 x 4) -11/32) 16)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 x 4) -33/128) 2) 2) (/.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) 2))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) -33/128) 4) (/.f64 (.f64 (pow.f64 x 4) 11/128) 4))
(/.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(/.f64 (*.f64 (pow.f64 x 4) 11/128) -1)
(/.f64 (*.f64 (pow.f64 x 4) -11/64) 2)
(/.f64 (*.f64 (pow.f64 x 4) -11/32) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) -11/32)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 4) -11/32)) (.f64 2 (.f64 (pow.f64 x 4) -11/32))) 16)
(pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(neg.f64 (*.f64 (pow.f64 x 4) 11/128))

Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (.f64 (pow.f64 x 2) -1/8)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 11/128) (/.f64 (pow.f64 x 2) -16)) (/.f64 (pow.f64 x 2) 16)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 11/128) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (pow.f64 x 2) 16))))
(+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) -16))))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (/.f64 (pow.f64 x 2) -16)) (+.f64 (/.f64 (*.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) -16))))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) -2)))))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 (pow.f64 x 4) -11/32) 8)))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 8))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) -11/32) (pow.f64 x 2)) 8)) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) 2)))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) -2)))))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 (pow.f64 x 4) -11/32) 8)))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 8))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 0)
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) (+.f64 (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (/.f64 (pow.f64 x 2) -16)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) 16))))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 11/128) (/.f64 (pow.f64 x 2) -16)) (/.f64 (pow.f64 x 2) 16)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 11/128) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (pow.f64 x 2) 16))))
(+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) -16))))
(-.f64 0 (-.f64 (.f64 (pow.f64 x 2) -1/8) (.f64 -11/128 (pow.f64 x 4))))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 0 (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8)) (neg.f64 (*.f64 (pow.f64 x 4) -11/64))))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 0 (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (*.f64 (pow.f64 x 2) -1/4)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (.f64 (pow.f64 x 4) 11/128) (-.f64 (.f64 (pow.f64 x 2) -1/8) (*.f64 (pow.f64 x 4) -11/64)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (.f64 (pow.f64 x 4) -11/64) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (*.f64 (pow.f64 x 2) -1/8)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 (pow.f64 x 4) -11/64) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)) 0))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) 1/4)) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -11/64)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -11/64)) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 16))))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 11/128) (/.f64 (pow.f64 x 2) -16)) (/.f64 (pow.f64 x 2) 16)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 11/128) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (pow.f64 x 2) 16))))
(+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (-.f64 (.f64 1/8 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) -16))))
(-.f64 (.f64 (pow.f64 x 4) -11/32) (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8)) (.f64 (pow.f64 x 4) -11/64)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (.f64 (pow.f64 x 2) 1/4)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) -11/32) (pow.f64 x 2)) 8)))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) -2)))))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 (pow.f64 x 4) -11/32) 8)))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 8))
(-.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (*.f64 (pow.f64 x 2) -1/8)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) 16)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (/.f64 (pow.f64 x 2) -16)))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) -2)))))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 (pow.f64 x 4) -11/32) 8)))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 8))
(-.f64 (/.f64 (pow.f64 x 2) 16) (+.f64 (*.f64 (pow.f64 x 4) 11/128) (/.f64 (pow.f64 x 2) -16)))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) -2)))))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 (pow.f64 x 4) -11/32) 8)))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 8))
(-.f64 (/.f64 (pow.f64 x 2) 16) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (*.f64 3 (/.f64 (pow.f64 x 2) -16))))
(-.f64 (/.f64 (pow.f64 x 2) 16) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (*.f64 (pow.f64 x 2) -3/16)))
(-.f64 (/.f64 (pow.f64 x 2) 16) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 11/128) (*.f64 (pow.f64 x 2) -3/16))))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (-.f64 (/.f64 (pow.f64 x 2) 16) (.f64 (pow.f64 x 2) -1/16)))
(-.f64 (/.f64 (pow.f64 x 2) 16) (+.f64 (/.f64 (pow.f64 x 2) -16) (*.f64 (pow.f64 x 4) 11/128)))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) -2)))))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 (pow.f64 x 4) -11/32) 8)))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 8))
(-.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8)) (*.f64 (pow.f64 x 2) -1/4))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 3 (.f64 (pow.f64 x 4) 11/128))) 2) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (pow.f64 x 2) -16)))
(-.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 11/128 (.f64 (pow.f64 x 4) 3))) 2) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2)))
(+.f64 (/.f64 (-.f64 (-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 33/128)) (*.f64 -11/128 (pow.f64 x 4))) 2) (neg.f64 (/.f64 (pow.f64 x 2) -16)))
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(-.f64 (.f64 -3 (/.f64 (pow.f64 x 2) -16)) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)) (/.f64 (pow.f64 x 2) -16)))
(-.f64 (.f64 (pow.f64 x 2) 3/16) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)) (/.f64 (pow.f64 x 2) -16)))
(-.f64 (.f64 (pow.f64 x 2) 3/16) (+.f64 (.f64 (pow.f64 x 4) 11/128) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) -16))))
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(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) -11/32) (pow.f64 x 2)) 8) (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2))
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(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 (pow.f64 x 4) -11/32) 8)))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 8))
(-.f64 (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 16)) (/.f64 (pow.f64 x 2) -16))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) -2)))))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 (pow.f64 x 4) -11/32) 8)))))
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(-.f64 (.f64 (pow.f64 x 4) -33/128) (+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/8) (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2)) (/.f64 (.f64 (pow.f64 x 4) -33/128) 2)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
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(-.f64 (/.f64 (.f64 (pow.f64 x 4) -33/128) 2) (+.f64 (.f64 (pow.f64 x 2) -1/8) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) 2)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
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(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 1)
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) -11/64) (.f64 (pow.f64 x 2) 1/4)) 2)
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) -1/8) (.f64 -11/128 (pow.f64 x 4))) -1)
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) -11/32) (.f64 (pow.f64 x 2) 1/2)) 4)
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) -11/32) (*.f64 (pow.f64 x 2) 1/2))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 4) -11/32)) (pow.f64 x 2)) 8)
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) -2)))))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 (pow.f64 x 4) -11/32) 8)))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 8))
(/.f64 (+.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) -11/32) (.f64 (pow.f64 x 2) 1/2))) (.f64 2 (+.f64 (.f64 (pow.f64 x 4) -11/32) (.f64 (pow.f64 x 2) 1/2)))) 16)
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) -11/32) (*.f64 (pow.f64 x 2) 1/2))) 8)
(/.f64 (+.f64 (pow.f64 x 2) (.f64 2 (.f64 (pow.f64 x 4) -11/32))) 8)
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) -2)))))
(-.f64 (.f64 -11/128 (pow.f64 x 4)) (+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) (+.f64 (/.f64 (pow.f64 x 2) -16) (+.f64 (/.f64 (pow.f64 x 2) -16) (/.f64 (*.f64 (pow.f64 x 4) -11/32) 8)))))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) (/.f64 (pow.f64 x 2) 8))
(pow.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 1)
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(neg.f64 (-.f64 (.f64 (pow.f64 x 2) -1/8) (.f64 -11/128 (pow.f64 x 4))))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(neg.f64 (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) -1/8)) (neg.f64 (*.f64 (pow.f64 x 4) -11/64))))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(neg.f64 (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128)) (*.f64 (pow.f64 x 2) -1/4)))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 (pow.f64 x 4) 11/128))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) 0)
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 0 (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (/.f64 (.f64 (pow.f64 x 4) -11/32) 16) (+.f64 (/.f64 (.f64 (pow.f64 x 4) -11/32) 16) (/.f64 (*.f64 -11/128 (pow.f64 x 4)) 2)))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (/.f64 (.f64 (pow.f64 x 4) -11/32) 16) (/.f64 (/.f64 (.f64 (pow.f64 x 4) -33/128) 2) 2))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (/.f64 (.f64 (pow.f64 x 4) -11/32) 16) (/.f64 (.f64 (pow.f64 x 4) -33/128) 4))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 11/128)))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (*.f64 -11/128 (pow.f64 x 4)) 0)
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 0 (*.f64 (pow.f64 x 4) 11/128))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (.f64 (pow.f64 x 4) -11/64) (.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (+.f64 (.f64 (pow.f64 x 4) -11/64) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 (pow.f64 x 2) 1/4)))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (.f64 (pow.f64 x 4) -11/32) (.f64 (pow.f64 x 4) -33/128))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2) (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (.f64 (pow.f64 x 4) -33/128) (.f64 (pow.f64 x 4) -11/64))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x 4) -11/32) 16) (/.f64 (.f64 -11/128 (pow.f64 x 4)) 2)) (neg.f64 (/.f64 (*.f64 (pow.f64 x 4) -11/32) 16)))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 x 4) -33/128) 2) 2) (/.f64 (/.f64 (.f64 -11/128 (pow.f64 x 4)) -2) 2))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) -33/128) 4) (/.f64 (.f64 (pow.f64 x 4) 11/128) 4))
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 11/128) -1)
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) -11/64) 2)
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) -11/32) 4)
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) -11/32)) 8)
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 4) -11/32)) (.f64 2 (.f64 (pow.f64 x 4) -11/32))) 16)
(*.f64 -11/128 (pow.f64 x 4))
(pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(*.f64 -11/128 (pow.f64 x 4))
(neg.f64 (*.f64 (pow.f64 x 4) 11/128))
(*.f64 -11/128 (pow.f64 x 4))

localize164.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
✓	0.0b	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
	0.0b	(/.f64 1/2 (hypot.f64 1 x))
	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))

Compiler

Compiled 91 to 78 computations (14.3% saved)

series3.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))

1.0ms

(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))

1.0ms

inf

(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))

rewrite210.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`rational_best-4`
1300×	`rational_best-2`
1300×	`rational_best-3`
1300×	`rational_best-1`
1300×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	128	57
2	279	57
3	801	57
4	3396	57

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))

Outputs

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simplify330.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1166×	`rational_best-simplify-65`
944×	`rational_best-simplify-64`
872×	`rational_best-simplify-49`
758×	`rational_best-simplify-56`
558×	`rational_best-simplify-63`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	3882
1	602	3816
2	1427	3684
3	4159	3424

Stop Event

1×	node limit

Counts

56 → 101

Calls

Call 1

Inputs
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (.f64 -1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2)))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/256 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (sqrt.f64 1/2))) (.f64 1/256 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 5)))) (pow.f64 x 3))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 (/.f64 -1/32 (pow.f64 (sqrt.f64 1/2) 3)) 2)) (.f64 (sqrt.f64 1/2) (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (pow.f64 (/.f64 -1/32 (pow.f64 (sqrt.f64 1/2) 3)) 2)) (.f64 (sqrt.f64 1/2) (pow.f64 x 4)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (sqrt.f64 1/2))) (.f64 1/256 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 5)))) (pow.f64 x 3))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2)))))))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/2) (+.f64 -1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/2) (neg.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2))))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/2)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))
(-.f64 (+.f64 1 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 0)
(-.f64 0 (-.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)))
(-.f64 0 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/2))))
(-.f64 0 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))
(-.f64 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1)
(-.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4) (+.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4) (+.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) 2) (*.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4) (+.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) -2) (*.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4) (+.f64 (+.f64 -1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4) (+.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2)))
(-.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -2) (+.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/2)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2)))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4)) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)))
(-.f64 (+.f64 1 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/2) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))
(-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4)) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)))
(-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4)) (-.f64 -1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4)))
(-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/2) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4)) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))
(-.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 4) (/.f64 (neg.f64 (+.f64 1 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) 2))
(-.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 4) (-.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4) (+.f64 1/2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4))))
(-.f64 (+.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4)) (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) (+.f64 1/2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4))))
(-.f64 (+.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4)) (+.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) 2) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2)))
(-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (+.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4))) (neg.f64 (+.f64 1/2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4))))
(-.f64 (+.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))
(-.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4) (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))
(-.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4) (+.f64 -1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))
(-.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4)) 1) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))
(-.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -1/4) 2) (+.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4) 2) (*.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))
(-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) -8) (+.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -8) (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))
(-.f64 (-.f64 (+.f64 1/2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2)) (neg.f64 (+.f64 1/2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/4))))
(*.f64 1/2 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(.f64 1 (+.f64 1 (.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(.f64 (+.f64 1 (.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1)
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 1/2)
(.f64 (.f64 2 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))) 1/4)
(.f64 1/4 (.f64 2 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))))
(.f64 (.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 4) 1/8)
(/.f64 (+.f64 1 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1)
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 2)
(/.f64 (*.f64 2 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))) 4)
(/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 4) 8)
(pow.f64 (+.f64 1 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1)
(neg.f64 (-.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)))
(neg.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/2))))

Outputs
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (.f64 -1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 (.f64 1 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) -1))
(-.f64 (neg.f64 (sqrt.f64 1/2)) (+.f64 -1 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2)))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 1 (/.f64 1/32 (.f64 (sqrt.f64 1/8) (pow.f64 x 2)))))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 1 (neg.f64 (sqrt.f64 1/2)))) (.f64 1 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (-.f64 (/.f64 (/.f64 1/32 (pow.f64 x 2)) (sqrt.f64 1/8)) (+.f64 -1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (-.f64 (/.f64 1/32 (.f64 (sqrt.f64 1/8) (pow.f64 x 2))) (+.f64 -1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/256 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (+.f64 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 1 (/.f64 1/32 (.f64 (sqrt.f64 1/8) (pow.f64 x 2))))) (.f64 -1/4 (/.f64 -3/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1 (/.f64 1/256 (*.f64 (pow.f64 x 3) (sqrt.f64 1/32))))))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3))) (+.f64 (.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 1 (neg.f64 (sqrt.f64 1/2))))) (+.f64 (.f64 1 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (*.f64 1 (/.f64 (/.f64 1/256 (sqrt.f64 1/32)) (pow.f64 x 3)))))
(-.f64 (+.f64 (-.f64 (/.f64 (/.f64 1/32 (pow.f64 x 2)) (sqrt.f64 1/8)) (+.f64 -1 (sqrt.f64 1/2))) (.f64 -1/4 (/.f64 -3/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/256 (.f64 (pow.f64 x 3) (sqrt.f64 1/32)))))
(+.f64 (-.f64 (+.f64 (-.f64 (/.f64 1/32 (.f64 (sqrt.f64 1/8) (pow.f64 x 2))) (+.f64 -1 (sqrt.f64 1/2))) (.f64 -1/4 (/.f64 (/.f64 -3/16 (sqrt.f64 1/2)) (pow.f64 x 3)))) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (/.f64 (/.f64 -1/256 (sqrt.f64 1/32)) (pow.f64 x 3)))
(+.f64 1 (*.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 1 (/.f64 1/32 (*.f64 (sqrt.f64 1/8) (pow.f64 x 2))))))
(+.f64 (*.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 1 (neg.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (/.f64 1/32 (pow.f64 x 2)) (sqrt.f64 1/8)) (+.f64 -1 (sqrt.f64 1/2)))
(-.f64 (/.f64 1/32 (*.f64 (sqrt.f64 1/8) (pow.f64 x 2))) (+.f64 -1 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (sqrt.f64 1/2))) (.f64 1/256 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 5)))) (pow.f64 x 3))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 1 (/.f64 1/32 (.f64 (sqrt.f64 1/8) (pow.f64 x 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -3/16 (/.f64 -1/4 (sqrt.f64 1/2))) (.f64 1 (/.f64 1/256 (sqrt.f64 1/32)))) (pow.f64 x 3)))))
(+.f64 (neg.f64 (/.f64 (+.f64 (.f64 -1/4 (/.f64 -3/16 (sqrt.f64 1/2))) (.f64 1 (/.f64 1/256 (sqrt.f64 1/32)))) (pow.f64 x 3))) (+.f64 (*.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 1 (neg.f64 (sqrt.f64 1/2)))))
(+.f64 (-.f64 (/.f64 (/.f64 1/32 (pow.f64 x 2)) (sqrt.f64 1/8)) (+.f64 -1 (sqrt.f64 1/2))) (neg.f64 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 -3/16 (sqrt.f64 1/2))) (/.f64 1/256 (sqrt.f64 1/32))) (pow.f64 x 3))))
(-.f64 (/.f64 1/32 (.f64 (sqrt.f64 1/8) (pow.f64 x 2))) (+.f64 (+.f64 -1 (sqrt.f64 1/2)) (/.f64 (+.f64 (.f64 -1/4 (/.f64 -3/16 (sqrt.f64 1/2))) (/.f64 1/256 (sqrt.f64 1/32))) (pow.f64 x 3))))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 (/.f64 -1/32 (pow.f64 (sqrt.f64 1/2) 3)) 2)) (.f64 (sqrt.f64 1/2) (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (pow.f64 (/.f64 -1/32 (pow.f64 (sqrt.f64 1/2) 3)) 2)) (.f64 (sqrt.f64 1/2) (pow.f64 x 4)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (sqrt.f64 1/2))) (.f64 1/256 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 5)))) (pow.f64 x 3))) (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1 (sqrt.f64 1/2)))))))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 (+.f64 -3/32 (pow.f64 (/.f64 -1/32 (sqrt.f64 1/8)) 2)) (.f64 (sqrt.f64 1/2) (pow.f64 x 4)))) (+.f64 (+.f64 (+.f64 (.f64 -1 (sqrt.f64 1/2)) (.f64 1 (/.f64 1/32 (.f64 (sqrt.f64 1/8) (pow.f64 x 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -3/16 (/.f64 -1/4 (sqrt.f64 1/2))) (.f64 1 (/.f64 1/256 (sqrt.f64 1/32)))) (pow.f64 x 3)))) (.f64 1/4 (/.f64 (+.f64 1/32 (pow.f64 (/.f64 -1/32 (sqrt.f64 1/8)) 2)) (.f64 (sqrt.f64 1/2) (pow.f64 x 4)))))))
(+.f64 (.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (+.f64 (+.f64 1/32 (pow.f64 (/.f64 -1/32 (sqrt.f64 1/8)) 2)) (+.f64 -3/32 (pow.f64 (/.f64 -1/32 (sqrt.f64 1/8)) 2)))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 -1/4 (/.f64 -3/16 (sqrt.f64 1/2))) (.f64 1 (/.f64 1/256 (sqrt.f64 1/32)))) (pow.f64 x 3))) (+.f64 (*.f64 1/32 (/.f64 (/.f64 1 (sqrt.f64 1/8)) (pow.f64 x 2))) (+.f64 1 (neg.f64 (sqrt.f64 1/2))))))
(+.f64 (-.f64 (/.f64 (/.f64 1/32 (pow.f64 x 2)) (sqrt.f64 1/8)) (+.f64 -1 (sqrt.f64 1/2))) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 -1/4 (/.f64 -3/16 (sqrt.f64 1/2))) (/.f64 1/256 (sqrt.f64 1/32))) (pow.f64 x 3))) (.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (+.f64 -3/32 (+.f64 1/32 (+.f64 (pow.f64 (/.f64 -1/32 (sqrt.f64 1/8)) 2) (pow.f64 (/.f64 -1/32 (sqrt.f64 1/8)) 2)))))))
(+.f64 (-.f64 (/.f64 1/32 (.f64 (sqrt.f64 1/8) (pow.f64 x 2))) (+.f64 (+.f64 -1 (sqrt.f64 1/2)) (/.f64 (+.f64 (.f64 -1/4 (/.f64 -3/16 (sqrt.f64 1/2))) (/.f64 1/256 (sqrt.f64 1/32))) (pow.f64 x 3)))) (.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (+.f64 -3/32 (+.f64 1/32 (+.f64 (pow.f64 (/.f64 -1/32 (sqrt.f64 1/8)) 2) (pow.f64 (/.f64 -1/32 (sqrt.f64 1/8)) 2))))))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/2) (+.f64 -1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/2) (neg.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2))))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/2)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (+.f64 1 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 0)
(+.f64 1 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 0 (-.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 0 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/2))))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 0 (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1)
(+.f64 1 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4) (+.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/4) (+.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) 2) (*.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
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(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 1/2 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 1 (+.f64 1 (.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(+.f64 1 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (+.f64 1 (.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1)
(+.f64 1 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 1/2)
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 (.f64 2 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))) 1/4)
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 1/4 (.f64 2 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 (.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 4) 1/8)
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1)
(+.f64 1 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 2)
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 2 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))) 4)
(/.f64 (*.f64 2 (-.f64 2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) 4)
(/.f64 (*.f64 2 (-.f64 2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) 4)
(/.f64 (*.f64 2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 4)
(/.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 4) 8)
(/.f64 (*.f64 2 (-.f64 2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) 4)
(/.f64 (*.f64 2 (-.f64 2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) 4)
(/.f64 (*.f64 2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 4)
(pow.f64 (+.f64 1 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1)
(+.f64 1 (*.f64 -1/2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(neg.f64 (-.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2)))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(neg.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) (+.f64 1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1/2))))
(-.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (.f64 1/2 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) -2))
(*.f64 1/2 (-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

eval2.9s (6.7%)

Compiler: Compiled 27586 to 24715 computations (10.4% saved)

prune1.5s (3.4%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	1061	2	1063
Fresh	0	6	6
Picked	1	0	1
Done	1	8	9
Total	1063	16	1079

Error

Counts

1079 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.7b	(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
	31.4b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	14.8b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	31.7b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	31.0b	(-.f64 1 (sqrt.f64 1/2))
✓	30.5b	(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
	14.3b	(+.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x)))) 2)) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
	30.9b	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 -1/4 x) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))
	31.2b	(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
✓	14.8b	(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
	31.7b	(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
	33.2b	(+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6))))
	32.9b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
✓	33.3b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
✓	32.6b	(*.f64 1/8 (pow.f64 x 2))
	46.8b	0

Compiler

Compiled 218 to 195 computations (10.6% saved)

regimes1.0s (2.4%)

Counts

26 → 3

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) (/.f64 1/4 (sqrt.f64 2))))
(-.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) 0)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 -1/4 x) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))
(+.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x)))) 2)) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))

Outputs

(+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))

(+.f64 (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))

(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))

Calls

7 calls:

443.0ms	x
305.0ms	(/.f64 1 (hypot.f64 1 x))
60.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
41.0ms	(hypot.f64 1 x)
28.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.0b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.0b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.0b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.0b	2	`(/.f64 1 (hypot.f64 1 x))`
0.0b	2	`(hypot.f64 1 x)`

Compiler

Compiled 424 to 378 computations (10.8% saved)

bsearch125.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	0.0009367115956023638	98.35849204851883
67.0ms	-16087.424737263398	-0.004001537843295044

Results

108.0ms

288×

body

256

valid

Compiler

Compiled 971 to 852 computations (12.3% saved)

regimes996.0ms (2.3%)

Counts

25 → 2

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) (/.f64 1/4 (sqrt.f64 2))))
(-.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) 0)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 -1/4 x) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))
(+.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x)))) 2)) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))

Outputs

(+.f64 (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))

(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))

Calls

7 calls:

653.0ms	x
162.0ms	(hypot.f64 1 x)
63.0ms	(/.f64 1 (hypot.f64 1 x))
35.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
19.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.0b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.0b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.0b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.0b	2	`(/.f64 1 (hypot.f64 1 x))`
0.0b	2	`(hypot.f64 1 x)`

Compiler

Compiled 395 to 352 computations (10.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000080061205068	98.36357536231866

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes670.0ms (1.6%)

Counts

24 → 2

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) (/.f64 1/4 (sqrt.f64 2))))
(-.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) 0)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 -1/4 x) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))
(+.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x)))) 2)) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))

Outputs

(+.f64 (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))

(+.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x)))) 2)) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))

Calls

7 calls:

328.0ms	(/.f64 1 (hypot.f64 1 x))
179.0ms	x
48.0ms	(hypot.f64 1 x)
37.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
25.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.0b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.0b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.0b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.0b	2	`(/.f64 1 (hypot.f64 1 x))`
0.0b	2	`(hypot.f64 1 x)`

Compiler

Compiled 366 to 326 computations (10.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000080061205068	98.36357536231866

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes628.0ms (1.5%)

Counts

23 → 2

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) (/.f64 1/4 (sqrt.f64 2))))
(-.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) 0)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 -1/4 x) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1))

Outputs

(+.f64 (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))

(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))

Calls

7 calls:

384.0ms	x
75.0ms	(/.f64 1 (hypot.f64 1 x))
51.0ms	(hypot.f64 1 x)
30.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
27.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.0b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.0b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.0b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.0b	2	`(/.f64 1 (hypot.f64 1 x))`
0.0b	2	`(hypot.f64 1 x)`

Compiler

Compiled 339 to 301 computations (11.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000080061205068	98.36357536231866

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes548.0ms (1.3%)

Counts

21 → 3

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) (/.f64 1/4 (sqrt.f64 2))))
(-.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) 0)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6))))

Outputs

(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

(+.f64 (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 69/1024 (pow.f64 x 6))))

(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))

Calls

7 calls:

169.0ms	(/.f64 1 (hypot.f64 1 x))
155.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
121.0ms	x
30.0ms	(hypot.f64 1 x)
21.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 289 to 256 computations (11.4% saved)

bsearch167.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	0.0009367115956023638	98.35849204851883
101.0ms	-16087.424737263398	-0.004001537843295044

Results

113.0ms

288×

body

256

valid

Compiler

Compiled 782 to 681 computations (12.9% saved)

regimes475.0ms (1.1%)

Counts

20 → 3

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) (/.f64 1/4 (sqrt.f64 2))))
(-.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) 0)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))

Outputs

(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))

(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))

Calls

7 calls:

269.0ms	x
75.0ms	(/.f64 1 (hypot.f64 1 x))
43.0ms	(hypot.f64 1 x)
24.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
23.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 266 to 237 computations (10.9% saved)

bsearch102.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	0.0009367115956023638	98.35849204851883
58.0ms	-16087.424737263398	-0.004001537843295044

Results

93.0ms

288×

body

256

valid

Compiler

Compiled 674 to 591 computations (12.3% saved)

regimes668.0ms (1.6%)

Counts

19 → 3

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) (/.f64 1/4 (sqrt.f64 2))))
(-.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) 0)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))

Outputs

(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))

(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))

Calls

7 calls:

392.0ms	(/.f64 1 (hypot.f64 1 x))
122.0ms	x
61.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
25.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
19.0ms	(hypot.f64 1 x)

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 245 to 218 computations (11% saved)

bsearch134.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	0.0009367115956023638	98.35849204851883
67.0ms	-16087.424737263398	-0.004001537843295044

Results

125.0ms

288×

body

256

valid

Compiler

Compiled 656 to 573 computations (12.7% saved)

regimes331.0ms (0.8%)

Counts

18 → 3

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) (/.f64 1/4 (sqrt.f64 2))))
(-.f64 (.f64 1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) 0)

Outputs

(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))

(+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))

Calls

7 calls:

157.0ms	x
55.0ms	(hypot.f64 1 x)
50.0ms	(/.f64 1 (hypot.f64 1 x))
23.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
19.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))

Results

Error	Segments	Branch
0.6b	3	`x`
0.6b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.6b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.6b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.6b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.6b	2	`(/.f64 1 (hypot.f64 1 x))`
0.6b	2	`(hypot.f64 1 x)`

Compiler

Compiled 228 to 204 computations (10.5% saved)

bsearch152.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
70.0ms	0.0009367115956023638	98.35849204851883
81.0ms	-0.004001537843295044	-5.673344003827847e-11

Results

127.0ms

288×

body

256

valid

Compiler

Compiled 548 to 483 computations (11.9% saved)

regimes277.0ms (0.6%)

Counts

15 → 2

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (/.f64 (-.f64 2 (sqrt.f64 1/2)) 2) (/.f64 (sqrt.f64 1/2) -2))
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Outputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))

Calls

7 calls:

70.0ms	x
55.0ms	(/.f64 1 (hypot.f64 1 x))
37.0ms	(hypot.f64 1 x)
22.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
21.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Results

Error	Segments	Branch
0.6b	3	`x`
0.6b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.6b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.6b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.6b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.6b	2	`(/.f64 1 (hypot.f64 1 x))`
0.6b	2	`(hypot.f64 1 x)`

Compiler

Compiled 185 to 165 computations (10.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999919939435907	0.999999561285982

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes148.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Outputs
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Calls

2 calls:

127.0ms	x
16.0ms	(hypot.f64 1 x)

Results

Error	Segments	Branch
0.6b	3	`x`
0.6b	2	`(hypot.f64 1 x)`

Compiler

Compiled 91 to 80 computations (12.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000004387142105

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes82.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))

Outputs
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)

Calls

1 calls:

78.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 77 to 68 computations (11.7% saved)

bsearch109.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	0.0009367115956023638	98.35849204851883
58.0ms	-16087.424737263398	-0.004001537843295044

Results

87.0ms

288×

body

256

valid

Compiler

Compiled 341 to 303 computations (11.1% saved)

regimes68.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) 2) 2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) 4) 4)

Outputs
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Calls

1 calls:

64.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 47 to 41 computations (12.8% saved)

bsearch126.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
80.0ms	0.0009367115956023638	98.35849204851883
45.0ms	-16087.424737263398	-0.004001537843295044

Results

119.0ms

288×

body

256

valid

Compiler

Compiled 323 to 285 computations (11.8% saved)

regimes51.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Outputs
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Calls

1 calls:

49.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch95.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	0.0009367115956023638	98.35849204851883
44.0ms	-16087.424737263398	-0.004001537843295044

Results

88.0ms

288×

body

256

valid

Compiler

Compiled 287 to 258 computations (10.1% saved)

regimes60.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))

Outputs
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 1 (sqrt.f64 1/2))

Calls

1 calls:

58.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch118.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	0.0009367115956023638	98.35849204851883
45.0ms	-16087.424737263398	-0.004001537843295044

Results

99.0ms

288×

body

256

valid

Compiler

Compiled 251 to 231 computations (8% saved)

regimes33.0ms (0.1%)

Accuracy

Total -46.0b remaining (-289.8%)

Threshold costs -46.0b (-289.8%)

Counts

2 → 3

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))

Outputs
(-.f64 1 (sqrt.f64 1/2))
0
(-.f64 1 (sqrt.f64 1/2))

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
15.9b	3	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch245.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
138.0ms	1.0117842662174336e-81	9.519424197630568e-74
106.0ms	-2.061517131940308e-72	-9.261496383110653e-78

Results

238.0ms

288×

body

1024

valid

Compiler

Compiled 179 to 177 computations (1.1% saved)

simplify69.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1806

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1098878309078401/36028797018963968) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1)) (if (<=.f64 x 1080863910568919/36028797018963968) (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1)))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6)))) (+.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x)))) 2)) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1)))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1)))
(if (<=.f64 x -1116892707587883/36028797018963968) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (if (<=.f64 x 2296835809958953/2251799813685248) (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))))
(if (<=.f64 x -3458764513820541/288230376151711744) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (if (<=.f64 x 4728779608739021/4503599627370496) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))))
(if (<=.f64 x -3458764513820541/288230376151711744) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (if (<=.f64 x 5404319552844595/4503599627370496) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))))
(if (<=.f64 x -662929865148937/288230376151711744) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (if (<=.f64 x 2476979795053773/2251799813685248) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))))
(if (<=.f64 (/.f64 1 (hypot.f64 1 x)) 4503577109372359/4503599627370496) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))))
(if (<=.f64 (hypot.f64 1 x) 1) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (*.f64 1/8 (pow.f64 x 2)) (+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 5/4) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 3/2) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) 0 (-.f64 1 (sqrt.f64 1/2))))
0

Outputs
(if (<=.f64 x -1098878309078401/36028797018963968) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1)) (if (<=.f64 x 1080863910568919/36028797018963968) (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/4 (hypot.f64 1 x))))) -2) 1)))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6)))) (+.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (+.f64 1/2 (/.f64 1 (hypot.f64 1 x)))) 2)) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1)))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) 1)))
(if (<=.f64 x -1116892707587883/36028797018963968) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (if (<=.f64 x 2296835809958953/2251799813685248) (+.f64 (+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 -1843/32768 (pow.f64 x 8))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 69/1024 (pow.f64 x 6)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))))
(if (<=.f64 x -3458764513820541/288230376151711744) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (if (<=.f64 x 4728779608739021/4503599627370496) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))))
(if (<=.f64 x -3458764513820541/288230376151711744) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (if (<=.f64 x 5404319552844595/4503599627370496) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))))
(if (<=.f64 x -662929865148937/288230376151711744) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (if (<=.f64 x 2476979795053773/2251799813685248) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2) 1))))
(if (<=.f64 (/.f64 1 (hypot.f64 1 x)) 4503577109372359/4503599627370496) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))))
(if (<=.f64 (hypot.f64 1 x) 1) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (*.f64 1/8 (pow.f64 x 2)) (+.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 5/4) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 3/2) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) 0 (-.f64 1 (sqrt.f64 1/2))))
0

Compiler

Compiled 659 to 568 computations (13.8% saved)

soundness437.0ms (1%)

Algorithm

2×	egg-herbie

Rules

864×	`rational_best-simplify-108`
864×	`rational_best-simplify-108`
800×	`rational_best-simplify-55`
800×	`rational_best-simplify-55`
782×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	6472
1	1048	6436
2	2492	5970
0	395	6472
1	1048	6436
2	2492	5970

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 340 to 300 computations (11.8% saved)

end2.2s (5.1%)

Compiler: Compiled 644 to 553 computations (14.1% saved)