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)

sample3.1s (24.8%)

Results

1.7s	2200×	body	2048	valid
697.0ms	4555×	body	256	valid
593.0ms	1003×	body	1024	valid
88.0ms	498×	body	512	valid

Bogosity

preprocess723.0ms (5.9%)

Algorithm

2×	egg-herbie

Rules

11846×	`rational.json-simplify-41`
1180×	`rational.json-simplify-1`
328×	`rational.json-simplify-35`
12×	`rational.json-simplify-2`
6×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	22	35
2	30	35
3	43	35
4	54	35
5	78	35
6	144	35
7	331	35
8	414	35
9	418	35
10	422	35
11	426	35
12	430	35
13	1421	35
14	1833	35
15	1837	35
16	1841	35
17	1845	35
18	1849	35
19	1853	35
20	1857	35
21	1861	35
22	1865	35
23	1869	35
24	1873	35
25	1877	35
26	1881	35
27	1885	35
28	1889	35
29	1893	35
30	1897	35
31	1901	35
32	1905	35
33	1909	35
34	1913	35
35	1917	35
36	1921	35
37	1925	35
38	1929	35
39	1933	35
40	1937	35
41	1941	35
42	1945	35
43	1949	35
44	1953	35
45	1957	35
46	1961	35
47	1965	35
48	1969	35
49	1973	35
50	1977	35
51	1981	35
52	1985	35
53	1989	35
54	1993	35
55	1997	35
56	2001	35
57	2005	35
58	2009	35
59	2013	35
60	2017	35
61	2021	35
62	2025	35
63	2029	35
64	2033	35
65	2037	35
66	2041	35
67	2045	35
68	2049	35
69	2053	35
70	2057	35
71	2061	35
72	2065	35
73	2069	35
74	2073	35
75	2077	35
76	2081	35
77	2085	35
78	2089	35
79	2093	35
80	2097	35
81	2101	35
82	2105	35
83	2109	35
84	2113	35
85	2117	35
86	2121	35
87	2125	35
88	2129	35
89	2133	35
90	2137	35
91	2141	35
92	2145	35
93	2149	35
94	2153	35
95	2157	35
96	2161	35
97	2165	35
98	2169	35
99	2173	35
100	2177	35
101	2181	35
102	2185	35
103	2189	35
104	2193	35
105	2197	35
106	2201	35
107	2205	35
108	2209	35
109	2213	35
110	2217	35
111	2221	35
112	2225	35
113	2229	35
114	2233	35
115	2237	35
116	2241	35
117	2245	35
118	2249	35
119	2253	35
120	2257	35
121	2261	35
122	2265	35
123	2269	35
124	2273	35
125	2277	35
126	2281	35
127	2285	35
128	2289	35
129	2293	35
130	2297	35
131	2301	35
132	2305	35
133	2309	35
134	2313	35
135	2317	35
136	2321	35
137	2325	35
138	2329	35
139	2333	35
140	2337	35
141	2341	35
142	2345	35
143	2349	35
144	2353	35
145	2357	35
146	2361	35
147	2365	35
148	2369	35
149	2373	35
150	2377	35
151	2381	35
152	2385	35
153	2389	35
154	2393	35
155	2397	35
156	2401	35
157	2405	35
158	2409	35
159	2413	35
160	2417	35
161	2421	35
162	2425	35
163	2429	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)

simplify722.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

11846×	`rational.json-simplify-41`
1180×	`rational.json-simplify-1`
328×	`rational.json-simplify-35`
12×	`rational.json-simplify-2`
6×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	22	35
2	30	35
3	43	35
4	54	35
5	78	35
6	144	35
7	331	35
8	414	35
9	418	35
10	422	35
11	426	35
12	430	35
13	1421	35
14	1833	35
15	1837	35
16	1841	35
17	1845	35
18	1849	35
19	1853	35
20	1857	35
21	1861	35
22	1865	35
23	1869	35
24	1873	35
25	1877	35
26	1881	35
27	1885	35
28	1889	35
29	1893	35
30	1897	35
31	1901	35
32	1905	35
33	1909	35
34	1913	35
35	1917	35
36	1921	35
37	1925	35
38	1929	35
39	1933	35
40	1937	35
41	1941	35
42	1945	35
43	1949	35
44	1953	35
45	1957	35
46	1961	35
47	1965	35
48	1969	35
49	1973	35
50	1977	35
51	1981	35
52	1985	35
53	1989	35
54	1993	35
55	1997	35
56	2001	35
57	2005	35
58	2009	35
59	2013	35
60	2017	35
61	2021	35
62	2025	35
63	2029	35
64	2033	35
65	2037	35
66	2041	35
67	2045	35
68	2049	35
69	2053	35
70	2057	35
71	2061	35
72	2065	35
73	2069	35
74	2073	35
75	2077	35
76	2081	35
77	2085	35
78	2089	35
79	2093	35
80	2097	35
81	2101	35
82	2105	35
83	2109	35
84	2113	35
85	2117	35
86	2121	35
87	2125	35
88	2129	35
89	2133	35
90	2137	35
91	2141	35
92	2145	35
93	2149	35
94	2153	35
95	2157	35
96	2161	35
97	2165	35
98	2169	35
99	2173	35
100	2177	35
101	2181	35
102	2185	35
103	2189	35
104	2193	35
105	2197	35
106	2201	35
107	2205	35
108	2209	35
109	2213	35
110	2217	35
111	2221	35
112	2225	35
113	2229	35
114	2233	35
115	2237	35
116	2241	35
117	2245	35
118	2249	35
119	2253	35
120	2257	35
121	2261	35
122	2265	35
123	2269	35
124	2273	35
125	2277	35
126	2281	35
127	2285	35
128	2289	35
129	2293	35
130	2297	35
131	2301	35
132	2305	35
133	2309	35
134	2313	35
135	2317	35
136	2321	35
137	2325	35
138	2329	35
139	2333	35
140	2337	35
141	2341	35
142	2345	35
143	2349	35
144	2353	35
145	2357	35
146	2361	35
147	2365	35
148	2369	35
149	2373	35
150	2377	35
151	2381	35
152	2385	35
153	2389	35
154	2393	35
155	2397	35
156	2401	35
157	2405	35
158	2409	35
159	2413	35
160	2417	35
161	2421	35
162	2425	35
163	2429	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))))))

eval0.0ms (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

16.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.1b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Compiler

Compiled 13 to 12 computations (7.7% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 1 x))
✓	0.0b	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
✓	0.0b	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
✓	1.7b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Compiler

Compiled 50 to 43 computations (14% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	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	@	0	(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	@	0	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`rational.json-1`
1452×	`rational.json-2`
1452×	`rational.json-4`
1452×	`rational.json-3`
1446×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	96
1	92	96
2	204	96
3	407	96
4	844	96
5	2552	84
6	6016	84

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

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

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

simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1472×	`rational.json-simplify-35`
1094×	`rational.json-simplify-46`
1088×	`rational.json-simplify-2`
780×	`rational.json-simplify-50`
738×	`rational.json-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	395	5858
1	938	5822
2	2463	5804
3	5505	5774

Stop Event

1×	node limit

Counts

202 → 296

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))
(-.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 (.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 (sqrt.f64 2) (sqrt.f64 1/2))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))
(+.f64 (.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 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))
(+.f64 (.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 (.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 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (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 -1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (sqrt.f64 1/2) x))))
(+.f64 (.f64 -3/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.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 (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 (sqrt.f64 1/2) (+.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))))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 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)))))
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 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5))))) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))
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 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.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 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (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 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 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (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 (.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 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 -1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))
(+.f64 -2 (-.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) -1)
(+.f64 (.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) 2)) (-.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) 2)))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 1/2 (.f64 (-.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 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))
(.f64 2 (.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 4 (/.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))))) 2) 1/2)
(*.f64 (+.f64 (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))))) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4))
(.f64 (.f64 1/2 (-.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))))) 4) 4)
(/.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))))) 2) 2)
(/.f64 (+.f64 (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))))) 4) 4)
(/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 8) 8)
(/.f64 (*.f64 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) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 8)) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 8)) (.f64 2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))) (neg.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))) 4)
(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))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0)
(+.f64 0 (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 1/2 (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)))) 0)
(*.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(.f64 2 (.f64 1/2 (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) 1/2)
(*.f64 4 (/.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)))) 4) 1/4)
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))
(.f64 (.f64 1/2 (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) 4)
(/.f64 (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)))) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 8)) (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 8))) 32)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 1 (hypot.f64 1 x)) -1)
(-.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 0)
(-.f64 0 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (hypot.f64 1 x)))
(*.f64 1 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
(*.f64 1/2 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 (hypot.f64 1 x)))
(*.f64 2 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 4 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))
(.f64 (/.f64 2 (hypot.f64 1 x)) (.f64 1/2 (+.f64 1 (hypot.f64 1 x))))
(.f64 (/.f64 2 (hypot.f64 1 x)) (.f64 2 (*.f64 (+.f64 1 (hypot.f64 1 x)) 1/4)))
(.f64 (/.f64 2 (hypot.f64 1 x)) (+.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 1/4) (*.f64 (+.f64 1 (hypot.f64 1 x)) 1/4)))
(.f64 (/.f64 2 (hypot.f64 1 x)) (+.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 1/4) (.f64 1/2 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))))))
(*.f64 (+.f64 2 (/.f64 2 (hypot.f64 1 x))) 1/2)
(.f64 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 4) 1/4)
(.f64 (+.f64 (.f64 (hypot.f64 1 x) 2) 2) (/.f64 1/2 (hypot.f64 1 x)))
(.f64 (/.f64 4 (hypot.f64 1 x)) (.f64 (+.f64 1 (hypot.f64 1 x)) 1/4))
(.f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))) (/.f64 2 (hypot.f64 1 x)))
(.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 4) (/.f64 1/4 (hypot.f64 1 x)))
(.f64 1/4 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 4))
(.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (.f64 (hypot.f64 1 x) 2) 2))
(*.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) 4)
(.f64 (/.f64 1/4 (hypot.f64 1 x)) (.f64 (+.f64 1 (hypot.f64 1 x)) 4))
(.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 1/4) (/.f64 4 (hypot.f64 1 x)))
(.f64 (.f64 2 (*.f64 (+.f64 1 (hypot.f64 1 x)) 1/4)) (/.f64 2 (hypot.f64 1 x)))
(*.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (hypot.f64 1 x)) -1)
(.f64 (+.f64 (/.f64 (.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (hypot.f64 1 x)) 1) (/.f64 1 (hypot.f64 1 x)))
(.f64 (+.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 1/4) (*.f64 (+.f64 1 (hypot.f64 1 x)) 1/4)) (/.f64 2 (hypot.f64 1 x)))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)
(/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(/.f64 -1 (/.f64 (hypot.f64 1 x) (-.f64 -1 (hypot.f64 1 x))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (+.f64 1 (hypot.f64 1 x)) (hypot.f64 1 x))
(/.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (hypot.f64 1 x)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 (*.f64 1/2 (hypot.f64 1 x)) 1/2))
(/.f64 2 (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
(/.f64 4 (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
(/.f64 (+.f64 2 (/.f64 2 (hypot.f64 1 x))) 2)
(/.f64 8 (*.f64 2 (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 8 (/.f64 (*.f64 (hypot.f64 1 x) 8) (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 4) 4)
(/.f64 (+.f64 (.f64 (hypot.f64 1 x) 2) 2) (.f64 (hypot.f64 1 x) 2))
(/.f64 (+.f64 (*.f64 (hypot.f64 1 x) 2) 2) (/.f64 (hypot.f64 1 x) 1/2))
(/.f64 -2 (+.f64 (/.f64 (hypot.f64 1 x) (-.f64 -1 (hypot.f64 1 x))) (/.f64 (hypot.f64 1 x) (-.f64 -1 (hypot.f64 1 x)))))
(/.f64 -2 (neg.f64 (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))) (.f64 1/2 (hypot.f64 1 x)))
(/.f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))) (/.f64 (.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (*.f64 (hypot.f64 1 x) 2)))
(/.f64 16 (+.f64 (/.f64 (.f64 (hypot.f64 1 x) 8) (+.f64 1 (hypot.f64 1 x))) (/.f64 (.f64 (hypot.f64 1 x) 8) (+.f64 1 (hypot.f64 1 x)))))
(/.f64 16 (+.f64 (.f64 2 (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))) (.f64 2 (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 8) 8)
(/.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 4) (.f64 (hypot.f64 1 x) 4))
(/.f64 -4 (neg.f64 (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) 1/4)
(/.f64 (-.f64 -1 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x)))
(/.f64 (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))) (*.f64 (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))) (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (.f64 2 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 8)) 16)
(/.f64 (.f64 2 (-.f64 -1 (hypot.f64 1 x))) (.f64 (hypot.f64 1 x) -2))
(/.f64 (.f64 2 (.f64 (+.f64 1 (hypot.f64 1 x)) 4)) (*.f64 (hypot.f64 1 x) 8))
(/.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (hypot.f64 1 x)) -1)
(/.f64 (neg.f64 (+.f64 (.f64 (hypot.f64 1 x) 2) 2)) (.f64 (hypot.f64 1 x) -2))
(/.f64 (neg.f64 (-.f64 -1 (hypot.f64 1 x))) (hypot.f64 1 x))
(/.f64 (neg.f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x)))) (neg.f64 (.f64 1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 (neg.f64 (+.f64 (.f64 (hypot.f64 1 x) 2) 2)) (neg.f64 (+.f64 (.f64 (hypot.f64 1 x) 2) 2))) (*.f64 4 (neg.f64 (hypot.f64 1 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 8)) (.f64 2 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (-.f64 -1 (hypot.f64 1 x))) (.f64 2 (-.f64 -1 (hypot.f64 1 x)))) (*.f64 4 (neg.f64 (hypot.f64 1 x))))
(/.f64 (+.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (hypot.f64 1 x)) (/.f64 (-.f64 -1 (hypot.f64 1 x)) (hypot.f64 1 x))) -2)
(/.f64 (+.f64 (neg.f64 (-.f64 -1 (hypot.f64 1 x))) (neg.f64 (-.f64 -1 (hypot.f64 1 x)))) (*.f64 (hypot.f64 1 x) 2))
(/.f64 (neg.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 4)) (neg.f64 (.f64 (hypot.f64 1 x) 4)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (hypot.f64 1 x) 2) 2))) (.f64 (hypot.f64 1 x) 2))
(/.f64 (neg.f64 (.f64 2 (-.f64 -1 (hypot.f64 1 x)))) (.f64 (hypot.f64 1 x) 2))
(/.f64 (neg.f64 (neg.f64 (-.f64 -1 (hypot.f64 1 x)))) (neg.f64 (hypot.f64 1 x)))
(pow.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)
(neg.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (hypot.f64 1 x)))
(+.f64 (/.f64 1 (hypot.f64 1 x)) 0)
(+.f64 0 (/.f64 1 (hypot.f64 1 x)))
(+.f64 -1 (-.f64 1 (/.f64 -1 (hypot.f64 1 x))))
(+.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x)))
(-.f64 (/.f64 1 (hypot.f64 1 x)) 0)
(-.f64 0 (/.f64 -1 (hypot.f64 1 x)))
(*.f64 1 (/.f64 1 (hypot.f64 1 x)))
(*.f64 1/2 (/.f64 2 (hypot.f64 1 x)))
(.f64 (hypot.f64 1 x) (/.f64 1 (.f64 (hypot.f64 1 x) (hypot.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1)
(*.f64 2 (/.f64 1/2 (hypot.f64 1 x)))
(.f64 (.f64 (hypot.f64 1 x) 2) (/.f64 1/2 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))))
(*.f64 4 (/.f64 1/4 (hypot.f64 1 x)))
(*.f64 (/.f64 2 (hypot.f64 1 x)) 1/2)
(*.f64 (/.f64 4 (hypot.f64 1 x)) 1/4)
(*.f64 1/4 (/.f64 4 (hypot.f64 1 x)))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) 2)
(.f64 (/.f64 1 (.f64 (hypot.f64 1 x) (hypot.f64 1 x))) (hypot.f64 1 x))
(.f64 (/.f64 2 (.f64 (hypot.f64 1 x) (hypot.f64 1 x))) (*.f64 1/2 (hypot.f64 1 x)))
(*.f64 (/.f64 1/4 (hypot.f64 1 x)) 4)
(.f64 (.f64 1/2 (hypot.f64 1 x)) (/.f64 2 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))))
(*.f64 (/.f64 -1 (hypot.f64 1 x)) -1)
(.f64 (/.f64 1/2 (.f64 (hypot.f64 1 x) (hypot.f64 1 x))) (*.f64 (hypot.f64 1 x) 2))
(pow.f64 (/.f64 1 (hypot.f64 1 x)) 1)
(neg.f64 (/.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 1 (-.f64 (.f64 1/4 (.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))) 1))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) 0)
(.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (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 1 (.f64 -1/2 (.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2))))) (-.f64 (.f64 1/4 (*.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))) 1))
(+.f64 (+.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (.f64 -1/2 (.f64 (*.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2))))) 0)
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (.f64 -1/2 (.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 4)) (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (sqrt.f64 2)))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (.f64 -1/2 (.f64 (*.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 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 (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) 2)) 5/16) (pow.f64 x 6)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))) (+.f64 1 (.f64 -1/2 (.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))) (-.f64 (.f64 1/4 (*.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))) 1))
(+.f64 (+.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (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)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))) (.f64 1/2 (.f64 (.f64 (+.f64 (*.f64 -1/4 (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) 2)) 5/16) (pow.f64 x 6)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))) 0)
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 6)) (/.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) 2)) 5/16) (sqrt.f64 2)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (.f64 -1/2 (.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 4)) (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (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)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 6)) (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) 2)) 5/16) (sqrt.f64 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 -1/2 (/.f64 (sqrt.f64 1/2) x)) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)))
(-.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 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (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 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (-.f64 (.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 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (+.f64 (.f64 3/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (*.f64 3/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (.f64 3/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (-.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (sqrt.f64 1/2))))
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (+.f64 1 (+.f64 (.f64 3/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (-.f64 (*.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 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 1/2 (/.f64 (sqrt.f64 1/2) x)) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x)))
(+.f64 1 (-.f64 (*.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 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (sqrt.f64 1/2) x))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (sqrt.f64 1/2) x))))
(+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (-.f64 1 (sqrt.f64 1/2))))
(+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)) (+.f64 1 (-.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (sqrt.f64 1/2))))
(-.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 1 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)))) (-.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)) -3/16) (sqrt.f64 1/2)))
(+.f64 (+.f64 1 (.f64 1/2 (/.f64 (sqrt.f64 1/2) x))) (+.f64 (-.f64 (.f64 1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (sqrt.f64 1/2)) (*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)) -3/16)))
(*.f64 (sqrt.f64 2) (sqrt.f64 1/2))
1
(+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))
(+.f64 1 (.f64 (.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2))) -1/4))
(+.f64 1 (.f64 (pow.f64 x 2) (.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) -1/4)))
(+.f64 1 (.f64 (pow.f64 x 2) (.f64 -1/4 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))
(+.f64 1 (.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2))) -1/4))
(+.f64 (.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 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))
(+.f64 (.f64 (.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2))) -1/4) (+.f64 1 (.f64 1/2 (.f64 (*.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2))))))
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))) (.f64 (pow.f64 x 2) (*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) -1/4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) (.f64 -1/4 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))) (.f64 1/2 (.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 4)) (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (sqrt.f64 2))))))
(+.f64 1 (+.f64 (.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2))) -1/4) (.f64 1/2 (.f64 (*.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2))))))
(+.f64 (.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 (.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 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) 2)) 5/16) (pow.f64 x 6)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))) (+.f64 (.f64 (.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2))) -1/4) (+.f64 1 (.f64 1/2 (.f64 (*.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))))
(+.f64 (+.f64 1 (.f64 (pow.f64 x 2) (.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) -1/4))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))) (.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) 2)) 5/16) (pow.f64 x 6)) (*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) -1/2))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 -1/4 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))) (+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 6)) (/.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) 2)) 5/16) (sqrt.f64 2)))) (+.f64 1 (.f64 1/2 (.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 x 4)) (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (sqrt.f64 2)))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2))) -1/4) (+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 6)) (/.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) 2)) 5/16) (sqrt.f64 2)))) (+.f64 1 (.f64 1/2 (.f64 (*.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 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 -1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 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 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -1/8)))
(+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)) (+.f64 (sqrt.f64 1/2) (.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -1/8)))
(+.f64 (.f64 -3/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2))) (*.f64 1/2 (/.f64 (sqrt.f64 1/2) x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)) (.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -1/8)) (*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)) -3/16)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)) -3/16) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)) (*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -1/8))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) x)) (+.f64 (.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -1/8) (*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)) -3/16))))
(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 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -1/8)))
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (+.f64 (sqrt.f64 1/2) (.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -1/8)))
(+.f64 (sqrt.f64 1/2) (+.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))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (+.f64 (.f64 3/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -1/8))))
(+.f64 (.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -1/8) (+.f64 (+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (*.f64 3/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (sqrt.f64 1/2)))
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)) (+.f64 (.f64 3/16 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)) -1/8))))
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 2 (.f64 (pow.f64 x 2) -1/2)) (.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 2 (+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 3/8 (pow.f64 x 4))) (*.f64 (pow.f64 x 6) -5/16)))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 3/8 (pow.f64 x 4))) (+.f64 (*.f64 (pow.f64 x 6) -5/16) 2))
(+.f64 (.f64 3/8 (pow.f64 x 4)) (+.f64 (+.f64 2 (.f64 (pow.f64 x 2) -1/2)) (*.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 x) (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (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 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (-.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 5))) (+.f64 1 (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 1 x) (-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(-.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)))))
(+.f64 1 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5))))))
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 3/8 (pow.f64 x 4)) (+.f64 1 (.f64 (pow.f64 x 2) -1/2)))
(+.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 1 (+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 3/8 (pow.f64 x 4))) (*.f64 (pow.f64 x 6) -5/16)))
(+.f64 1 (+.f64 (.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 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 (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 3/8 (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 1 x) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (*.f64 5/16 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (*.f64 5/16 (/.f64 1 (pow.f64 x 7))))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (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 (.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 1/2 (/.f64 1 (pow.f64 x 3))) (-.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (.f64 5/16 (/.f64 1 (pow.f64 x 7)))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 0 (-.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)))))
(+.f64 -1 (neg.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 -2 (-.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)))
(+.f64 -1 (neg.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 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -2)) -1)
(+.f64 -1 (neg.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 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (.f64 1/2 (-.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)))))
(+.f64 (-.f64 -1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) 2)) (-.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) 2)))
(+.f64 (-.f64 -1 (/.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)) (-.f64 1 (/.f64 (+.f64 -1 (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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(.f64 1/2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(-.f64 1 (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)))) -1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(.f64 2 (.f64 1/2 (-.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)))))
(*.f64 4 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4))
(-.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))))) 2) 1/2)
(-.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)))) -1) -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))))) 4) 1/4)
(-.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(.f64 (.f64 1/2 (-.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 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4) 4)
(-.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 (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))))) 2) 2)
(-.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)))) -1) -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))))) 4) 4)
(-.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))))) 8) 8)
(-.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)))) -1)) -2)
(-.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)))) -1) 4) -4)
(-.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))))) 8)) 16)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))) 2)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 8)) (.f64 2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 8))) 32)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))) (neg.f64 (.f64 2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))) 4)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(-.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 (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)))) 0)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(+.f64 0 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(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 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0)
(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)))))
(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))
(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)))) 1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(.f64 2 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 1/2)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))
(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) 1/4)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))
(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))))) 2)
(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) 4)
(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)))) 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) 2)
(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) 4)
(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)))) 8) 8)
(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)))) 8)) 16)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 8)) (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 8))) 32)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(-.f64 (/.f64 1 (hypot.f64 1 x)) -1)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 0)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(-.f64 0 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (hypot.f64 1 x)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(*.f64 1 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(*.f64 1/2 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 1 (hypot.f64 1 x)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(*.f64 2 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(*.f64 4 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(.f64 (/.f64 2 (hypot.f64 1 x)) (.f64 1/2 (+.f64 1 (hypot.f64 1 x))))
(*.f64 1/2 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))
(.f64 (/.f64 2 (hypot.f64 1 x)) (.f64 2 (*.f64 (+.f64 1 (hypot.f64 1 x)) 1/4)))
(*.f64 1/2 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))
(.f64 (/.f64 2 (hypot.f64 1 x)) (+.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 1/4) (*.f64 (+.f64 1 (hypot.f64 1 x)) 1/4)))
(*.f64 1/2 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))
(.f64 (/.f64 2 (hypot.f64 1 x)) (+.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 1/4) (.f64 1/2 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))))))
(*.f64 1/2 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))
(*.f64 (+.f64 2 (/.f64 2 (hypot.f64 1 x))) 1/2)
(*.f64 1/2 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))
(.f64 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 4) 1/4)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(.f64 (+.f64 (.f64 (hypot.f64 1 x) 2) 2) (/.f64 1/2 (hypot.f64 1 x)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(.f64 (/.f64 4 (hypot.f64 1 x)) (.f64 (+.f64 1 (hypot.f64 1 x)) 1/4))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(.f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))) (/.f64 2 (hypot.f64 1 x)))
(*.f64 1/2 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))
(.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 4) (/.f64 1/4 (hypot.f64 1 x)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(.f64 1/4 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 4))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (.f64 (hypot.f64 1 x) 2) 2))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(*.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) 4)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(.f64 (/.f64 1/4 (hypot.f64 1 x)) (.f64 (+.f64 1 (hypot.f64 1 x)) 4))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 1/4) (/.f64 4 (hypot.f64 1 x)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(.f64 (.f64 2 (*.f64 (+.f64 1 (hypot.f64 1 x)) 1/4)) (/.f64 2 (hypot.f64 1 x)))
(*.f64 1/2 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))
(*.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (hypot.f64 1 x)) -1)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(.f64 (+.f64 (/.f64 (.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (hypot.f64 1 x)) 1) (/.f64 1 (hypot.f64 1 x)))
(.f64 (/.f64 1 (hypot.f64 1 x)) (+.f64 1 (.f64 (hypot.f64 1 x) (/.f64 (hypot.f64 1 x) (hypot.f64 1 x)))))
(.f64 (/.f64 1 (hypot.f64 1 x)) (+.f64 1 (/.f64 (.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (hypot.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (+.f64 1 (+.f64 (hypot.f64 1 x) (/.f64 0 (hypot.f64 1 x)))))
(.f64 (+.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 1/4) (*.f64 (+.f64 1 (hypot.f64 1 x)) 1/4)) (/.f64 2 (hypot.f64 1 x)))
(*.f64 1/2 (+.f64 2 (/.f64 2 (hypot.f64 1 x))))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 -1 (/.f64 (hypot.f64 1 x) (-.f64 -1 (hypot.f64 1 x))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) (hypot.f64 1 x))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (hypot.f64 1 x)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 (*.f64 1/2 (hypot.f64 1 x)) 1/2))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 2 (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 4 (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (+.f64 2 (/.f64 2 (hypot.f64 1 x))) 2)
(/.f64 8 (*.f64 2 (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 8 (/.f64 (*.f64 (hypot.f64 1 x) 8) (+.f64 1 (hypot.f64 1 x))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.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 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 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (+.f64 (*.f64 (hypot.f64 1 x) 2) 2) (/.f64 (hypot.f64 1 x) 1/2))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 -2 (+.f64 (/.f64 (hypot.f64 1 x) (-.f64 -1 (hypot.f64 1 x))) (/.f64 (hypot.f64 1 x) (-.f64 -1 (hypot.f64 1 x)))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 -2 (neg.f64 (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))) (.f64 1/2 (hypot.f64 1 x)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))) (/.f64 (.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (*.f64 (hypot.f64 1 x) 2)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 16 (+.f64 (/.f64 (.f64 (hypot.f64 1 x) 8) (+.f64 1 (hypot.f64 1 x))) (/.f64 (.f64 (hypot.f64 1 x) 8) (+.f64 1 (hypot.f64 1 x)))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 16 (+.f64 (.f64 2 (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))) (.f64 2 (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 8) 8)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 4) (.f64 (hypot.f64 1 x) 4))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 -4 (neg.f64 (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) 1/4)
(/.f64 (-.f64 -1 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))) (*.f64 (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))) (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 4 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) (.f64 (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))) (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) (/.f64 2 (/.f64 (*.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))) (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (*.f64 2 (-.f64 1 (/.f64 -1 (hypot.f64 1 x)))) (+.f64 (/.f64 2 (+.f64 1 (hypot.f64 1 x))) (/.f64 2 (-.f64 1 (/.f64 -1 (hypot.f64 1 x))))))
(+.f64 (/.f64 1 (/.f64 2 (-.f64 1 (/.f64 -1 (hypot.f64 1 x))))) (/.f64 1 (/.f64 2 (-.f64 1 (/.f64 -1 (hypot.f64 1 x))))))
(/.f64 (.f64 2 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 8)) 16)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.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 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (.f64 2 (.f64 (+.f64 1 (hypot.f64 1 x)) 4)) (*.f64 (hypot.f64 1 x) 8))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (hypot.f64 1 x)) -1)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (.f64 (hypot.f64 1 x) 2) 2)) (.f64 (hypot.f64 1 x) -2))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 -1 (hypot.f64 1 x))) (hypot.f64 1 x))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x)))) (neg.f64 (.f64 1/2 (hypot.f64 1 x))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (+.f64 (neg.f64 (+.f64 (.f64 (hypot.f64 1 x) 2) 2)) (neg.f64 (+.f64 (.f64 (hypot.f64 1 x) 2) 2))) (*.f64 4 (neg.f64 (hypot.f64 1 x))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 8)) (.f64 2 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 8))) 32)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (+.f64 (.f64 2 (-.f64 -1 (hypot.f64 1 x))) (.f64 2 (-.f64 -1 (hypot.f64 1 x)))) (*.f64 4 (neg.f64 (hypot.f64 1 x))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (+.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (hypot.f64 1 x)) (/.f64 (-.f64 -1 (hypot.f64 1 x)) (hypot.f64 1 x))) -2)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (+.f64 (neg.f64 (-.f64 -1 (hypot.f64 1 x))) (neg.f64 (-.f64 -1 (hypot.f64 1 x)))) (*.f64 (hypot.f64 1 x) 2))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 4)) (neg.f64 (.f64 (hypot.f64 1 x) 4)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 (hypot.f64 1 x) 2) 2))) (.f64 (hypot.f64 1 x) 2))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (.f64 2 (-.f64 -1 (hypot.f64 1 x)))) (.f64 (hypot.f64 1 x) 2))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 -1 (hypot.f64 1 x)))) (neg.f64 (hypot.f64 1 x)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(pow.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(neg.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (hypot.f64 1 x)))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(-.f64 1 (/.f64 -1 (hypot.f64 1 x)))
(+.f64 (/.f64 1 (hypot.f64 1 x)) 0)
(/.f64 1 (hypot.f64 1 x))
(+.f64 0 (/.f64 1 (hypot.f64 1 x)))
(/.f64 1 (hypot.f64 1 x))
(+.f64 -1 (-.f64 1 (/.f64 -1 (hypot.f64 1 x))))
(/.f64 1 (hypot.f64 1 x))
(+.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 1 (hypot.f64 1 x))
(-.f64 (/.f64 1 (hypot.f64 1 x)) 0)
(/.f64 1 (hypot.f64 1 x))
(-.f64 0 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 1 (hypot.f64 1 x))
(*.f64 1 (/.f64 1 (hypot.f64 1 x)))
(/.f64 1 (hypot.f64 1 x))
(*.f64 1/2 (/.f64 2 (hypot.f64 1 x)))
(.f64 (hypot.f64 1 x) (/.f64 1 (.f64 (hypot.f64 1 x) (hypot.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1)
(/.f64 1 (hypot.f64 1 x))
(*.f64 2 (/.f64 1/2 (hypot.f64 1 x)))
(.f64 (.f64 (hypot.f64 1 x) 2) (/.f64 1/2 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))))
(.f64 (.f64 2 (hypot.f64 1 x)) (/.f64 1/2 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))))
(.f64 2 (.f64 (/.f64 1/2 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))) (hypot.f64 1 x)))
(.f64 (/.f64 1/2 (.f64 (hypot.f64 1 x) (hypot.f64 1 x))) (*.f64 2 (hypot.f64 1 x)))
(/.f64 2 (+.f64 (*.f64 2 (hypot.f64 1 x)) (/.f64 0 (hypot.f64 1 x))))
(*.f64 4 (/.f64 1/4 (hypot.f64 1 x)))
(*.f64 (/.f64 2 (hypot.f64 1 x)) 1/2)
(*.f64 1/2 (/.f64 2 (hypot.f64 1 x)))
(*.f64 (/.f64 4 (hypot.f64 1 x)) 1/4)
(*.f64 1/4 (/.f64 4 (hypot.f64 1 x)))
(*.f64 1/4 (/.f64 4 (hypot.f64 1 x)))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) 2)
(*.f64 2 (/.f64 1/2 (hypot.f64 1 x)))
(.f64 (/.f64 1 (.f64 (hypot.f64 1 x) (hypot.f64 1 x))) (hypot.f64 1 x))
(.f64 (hypot.f64 1 x) (/.f64 1 (.f64 (hypot.f64 1 x) (hypot.f64 1 x))))
(.f64 (/.f64 2 (.f64 (hypot.f64 1 x) (hypot.f64 1 x))) (*.f64 1/2 (hypot.f64 1 x)))
(.f64 1/2 (.f64 (hypot.f64 1 x) (/.f64 2 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x)))))
(.f64 (.f64 1/2 (hypot.f64 1 x)) (/.f64 2 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))))
(.f64 1/2 (.f64 (hypot.f64 1 x) (/.f64 (/.f64 2 (hypot.f64 1 x)) (hypot.f64 1 x))))
(*.f64 (/.f64 1/4 (hypot.f64 1 x)) 4)
(*.f64 4 (/.f64 1/4 (hypot.f64 1 x)))
(.f64 (.f64 1/2 (hypot.f64 1 x)) (/.f64 2 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))))
(.f64 1/2 (.f64 (hypot.f64 1 x) (/.f64 2 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x)))))
(.f64 1/2 (.f64 (hypot.f64 1 x) (/.f64 (/.f64 2 (hypot.f64 1 x)) (hypot.f64 1 x))))
(*.f64 (/.f64 -1 (hypot.f64 1 x)) -1)
(/.f64 1 (hypot.f64 1 x))
(.f64 (/.f64 1/2 (.f64 (hypot.f64 1 x) (hypot.f64 1 x))) (*.f64 (hypot.f64 1 x) 2))
(.f64 (.f64 2 (hypot.f64 1 x)) (/.f64 1/2 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))))
(.f64 2 (.f64 (/.f64 1/2 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))) (hypot.f64 1 x)))
(.f64 (/.f64 1/2 (.f64 (hypot.f64 1 x) (hypot.f64 1 x))) (*.f64 2 (hypot.f64 1 x)))
(/.f64 2 (+.f64 (*.f64 2 (hypot.f64 1 x)) (/.f64 0 (hypot.f64 1 x))))
(pow.f64 (/.f64 1 (hypot.f64 1 x)) 1)
(/.f64 1 (hypot.f64 1 x))
(neg.f64 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 1 (hypot.f64 1 x))

eval150.0ms (1.2%)

Compiler: Compiled 6068 to 5520 computations (9% saved)

prune50.0ms (0.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	287	9	296
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	288	9	297

Error

0.6b

Counts

297 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	16.1b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
▶	30.5b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
	30.4b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
▶	16.0b	(-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (.f64 (hypot.f64 1 x) (/.f64 1 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))))))))
▶	29.6b	(-.f64 1 (sqrt.f64 1/2))
▶	29.9b	(+.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)))
▶	34.4b	(+.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (.f64 -1/2 (.f64 (*.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))
	33.5b	(.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
	49.0b	0

Compiler

Compiled 234 to 214 computations (8.5% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (.f64 1/2 (+.f64 1 (.f64 (hypot.f64 1 x) (/.f64 1 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x)))))))
✓	0.1b	(/.f64 1 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x)))
✓	1.7b	(-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (.f64 (hypot.f64 1 x) (/.f64 1 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))))))))
✓	14.4b	(.f64 (hypot.f64 1 x) (/.f64 1 (.f64 (hypot.f64 1 x) (hypot.f64 1 x))))

Compiler

Compiled 106 to 85 computations (19.8% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`rational.json-simplify-38`
1160×	`exponential.json-3`
1160×	`rational.json-1`
1160×	`rational.json-2`
1160×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	174
1	106	156
2	241	102
3	646	102
4	3649	102

Stop Event

1×	node limit

Counts

4 → 231

Calls

Call 1

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

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

simplify124.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1540×	`rational.json-simplify-35`
1012×	`rational.json-simplify-46`
944×	`rational.json-simplify-51`
934×	`rational.json-simplify-49`
600×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	559	7507
1	1903	7419
2	5993	7357

Stop Event

1×	node limit

Counts

279 → 350

Calls

Call 1

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

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

localize4.0ms (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

rewrite236.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2242×	`rational.json-simplify-2`
1804×	`rational.json-simplify-35`
1228×	`exponential.json-3`
1228×	`rational.json-1`
1228×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	53	11
2	117	11
3	210	11
4	364	11
5	755	11
6	1835	11
7	3084	11
8	3833	11
9	4822	11
10	5887	11
11	6578	11
12	6788	11
13	7015	11
14	7904	11

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

((#(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 -1 (neg.f64 (+.f64 (sqrt.f64 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 1/2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (-.f64 1 (sqrt.f64 1/2))) (*.f64 1/2 (-.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (neg.f64 (+.f64 (sqrt.f64 1/2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (sqrt.f64 1/2) -3)) -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 (+.f64 (sqrt.f64 1/2) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (-.f64 1 (sqrt.f64 1/2))))))) (#(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 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 1/2) -1) -1)))) (#(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 1 (sqrt.f64 1/2)) 4) 1/4)))) (#(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 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 1 (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 1/2 (+.f64 (sqrt.f64 1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (sqrt.f64 1/2) -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 1/2) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (sqrt.f64 1/2) -3) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 1/2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 4) 4)))) (#(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 1 (sqrt.f64 1/2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1))))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1)))))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (sqrt.f64 1/2) -3) -2) -1)))) (#(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))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 (sqrt.f64 1/2) -3) -2))))))

simplify209.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2364×	`rational.json-simplify-35`
1532×	`rational.json-simplify-2`
1110×	`rational.json-simplify-45`
956×	`rational.json-simplify-1`
766×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	597
1	260	597
2	597	597
3	1740	597
4	3830	597
5	5027	597
6	5476	597
7	5793	597
8	6124	597
9	6361	597
10	6821	597
11	7943	597

Stop Event

1×	node limit

Counts

51 → 54

Calls

Call 1

Inputs
(+.f64 (-.f64 1 (sqrt.f64 1/2)) 0)
(+.f64 0 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 -1 (neg.f64 (+.f64 (sqrt.f64 1/2) -2)))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 1/2) -2)) -1)
(+.f64 (.f64 1/2 (-.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (-.f64 1 (sqrt.f64 1/2))))
(+.f64 -2 (neg.f64 (+.f64 (sqrt.f64 1/2) -3)))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 1/2) -3)) -2)
(*.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 1/2) -1) -2))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(.f64 2 (.f64 1/2 (-.f64 1 (sqrt.f64 1/2))))
(.f64 4 (.f64 (-.f64 1 (sqrt.f64 1/2)) 1/4))
(.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) -2) 1/2)
(*.f64 (+.f64 (sqrt.f64 1/2) -1) -1)
(*.f64 -1 (+.f64 (sqrt.f64 1/2) -1))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 4) 1/4)
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) 2) -2) -1/2)
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8) 1/8)
(.f64 1/4 (.f64 (-.f64 1 (sqrt.f64 1/2)) 4))
(.f64 (.f64 1/2 (-.f64 1 (sqrt.f64 1/2))) 2)
(.f64 -2 (.f64 1/2 (+.f64 (sqrt.f64 1/2) -1)))
(.f64 (.f64 1/2 (+.f64 (sqrt.f64 1/2) -1)) -2)
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 1/4) 4)
(.f64 1/8 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 1/2) 2) -2))
(*.f64 (-.f64 (+.f64 (sqrt.f64 1/2) -3) -2) -1)
(/.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(/.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -2) 2)
(/.f64 (+.f64 (sqrt.f64 1/2) -1) -1)
(/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 4) 4)
(/.f64 (+.f64 (*.f64 (sqrt.f64 1/2) 2) -2) -2)
(/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8) 8)
(/.f64 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1)) -4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8)) 16)
(/.f64 (.f64 2 (.f64 4 (+.f64 (sqrt.f64 1/2) -1))) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1)))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8)))) 64)
(/.f64 (neg.f64 (.f64 2 (.f64 4 (+.f64 (sqrt.f64 1/2) -1)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (sqrt.f64 1/2) -1))))) -32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8))))) 128)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1))))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1)))))) -64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8)))))) 256)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 4 (+.f64 (sqrt.f64 1/2) -1)))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8))))))) 512)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1))))))) 64)
(/.f64 (-.f64 (+.f64 (sqrt.f64 1/2) -3) -2) -1)
(pow.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(neg.f64 (+.f64 (sqrt.f64 1/2) -1))
(neg.f64 (-.f64 (+.f64 (sqrt.f64 1/2) -3) -2))

Outputs
(+.f64 (-.f64 1 (sqrt.f64 1/2)) 0)
(-.f64 1 (sqrt.f64 1/2))
(+.f64 0 (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 -1 (neg.f64 (+.f64 (sqrt.f64 1/2) -2)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 1/2) -2)) -1)
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (.f64 1/2 (-.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (-.f64 1 (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 -2 (neg.f64 (+.f64 (sqrt.f64 1/2) -3)))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 1/2) -3)) -2)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 1/2) -1) -2))
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(-.f64 1 (sqrt.f64 1/2))
(.f64 2 (.f64 1/2 (-.f64 1 (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))
(.f64 4 (.f64 (-.f64 1 (sqrt.f64 1/2)) 1/4))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) -2) 1/2)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 (+.f64 (sqrt.f64 1/2) -1) -1)
(-.f64 1 (sqrt.f64 1/2))
(*.f64 -1 (+.f64 (sqrt.f64 1/2) -1))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 4) 1/4)
(-.f64 1 (sqrt.f64 1/2))
(.f64 (+.f64 (.f64 (sqrt.f64 1/2) 2) -2) -1/2)
(.f64 (+.f64 -2 (.f64 (sqrt.f64 1/2) 2)) -1/2)
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8) 1/8)
(-.f64 1 (sqrt.f64 1/2))
(.f64 1/4 (.f64 (-.f64 1 (sqrt.f64 1/2)) 4))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 1/2 (-.f64 1 (sqrt.f64 1/2))) 2)
(-.f64 1 (sqrt.f64 1/2))
(.f64 -2 (.f64 1/2 (+.f64 (sqrt.f64 1/2) -1)))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 1/2 (+.f64 (sqrt.f64 1/2) -1)) -2)
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 1/4) 4)
(-.f64 1 (sqrt.f64 1/2))
(.f64 1/8 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8))
(-.f64 1 (sqrt.f64 1/2))
(.f64 -1/2 (+.f64 (.f64 (sqrt.f64 1/2) 2) -2))
(.f64 (+.f64 -2 (.f64 (sqrt.f64 1/2) 2)) -1/2)
(*.f64 (-.f64 (+.f64 (sqrt.f64 1/2) -3) -2) -1)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -2) 2)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (+.f64 (sqrt.f64 1/2) -1) -1)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 4) 4)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (+.f64 (*.f64 (sqrt.f64 1/2) 2) -2) -2)
(/.f64 (+.f64 -2 (*.f64 (sqrt.f64 1/2) 2)) -2)
(/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8) 8)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1)) -4)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8)) 16)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (.f64 4 (+.f64 (sqrt.f64 1/2) -1))) -8)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8))) 32)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1)))) -16)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8)))) 64)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (neg.f64 (.f64 2 (.f64 4 (+.f64 (sqrt.f64 1/2) -1)))) 8)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (+.f64 (sqrt.f64 1/2) -1))))) -32)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8))))) 128)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1))))) 16)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1)))))) -64)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8)))))) 256)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 4 (+.f64 (sqrt.f64 1/2) -1)))))) 32)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8))))))) 512)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (*.f64 4 (+.f64 (sqrt.f64 1/2) -1))))))) 64)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (-.f64 (+.f64 (sqrt.f64 1/2) -3) -2) -1)
(-.f64 1 (sqrt.f64 1/2))
(pow.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(-.f64 1 (sqrt.f64 1/2))
(neg.f64 (+.f64 (sqrt.f64 1/2) -1))
(-.f64 1 (sqrt.f64 1/2))
(neg.f64 (-.f64 (+.f64 (sqrt.f64 1/2) -3) -2))
(-.f64 1 (sqrt.f64 1/2))

localize19.0ms (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)

series2.0ms (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)))))
0.0ms	x	@	inf	(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
0.0ms	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))))

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1242×	`rational.json-1`
1242×	`rational.json-2`
1242×	`rational.json-4`
1242×	`rational.json-3`
1238×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	81	52
2	176	52
3	357	52
4	681	52
5	1780	52
6	4937	52

Stop Event

1×	node limit

Counts

2 → 50

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

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

simplify364.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2684×	`rational.json-simplify-2`
1968×	`rational.json-simplify-35`
1714×	`rational.json-simplify-1`
1564×	`rational.json-simplify-52`
888×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	2052
1	249	2052
2	632	2052
3	1810	2052
4	2986	2052
5	3628	2052
6	3818	2052
7	4045	2052
8	4331	2052
9	4765	2052
10	5590	2052
11	6284	2052
12	7137	2052
13	7340	2052
14	7961	2052
15	7961	2052

Stop Event

1×	node limit

Counts

66 → 80

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)))
✓	0.5b	(/.f64 (sqrt.f64 1/2) x)
	1.0b	(-.f64 1 (sqrt.f64 1/2))

Compiler

Compiled 32 to 28 computations (12.5% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`
1380×	`rational.json-3`
1372×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	88	44
2	191	44
3	410	44
4	995	44
5	3860	44

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

Outputs

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

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

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1104×	`rational.json-simplify-2`
830×	`rational.json-simplify-50`
784×	`rational.json-simplify-51`
750×	`rational.json-simplify-55`
726×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	184	1915
1	383	1903
2	1020	1903
3	3890	1903
4	6978	1903

Stop Event

1×	node limit

Counts

107 → 105

Calls

Call 1

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

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

localize61.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))
✓	1.0b	(/.f64 -1/4 (sqrt.f64 2))
✓	1.0b	(pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)
✓	15.5b	(+.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (.f64 -1/2 (.f64 (*.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))

Compiler

Compiled 150 to 139 computations (7.3% saved)

series4.0ms (0%)

Counts

4 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (.f64 -1/2 (.f64 (*.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))
1.0ms	x	@	inf	(+.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (.f64 -1/2 (.f64 (*.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))
0.0ms	x	@	0	(*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))
0.0ms	x	@	-inf	(+.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (.f64 -1/2 (.f64 (*.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`rational.json-1`
1900×	`rational.json-2`
1900×	`rational.json-4`
1900×	`rational.json-3`
1070×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	154
1	175	154
2	358	154
3	846	154
4	2234	144
5	6174	144

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

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

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

simplify137.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1554×	`rational.json-simplify-35`
1176×	`rational.json-simplify-53`
874×	`rational.json-simplify-43`
848×	`rational.json-simplify-49`
810×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	4492
1	706	4492
2	1908	4492
3	4719	4492
4	7083	4492

Stop Event

1×	node limit

Counts

120 → 123

Calls

Call 1

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

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

eval371.0ms (3%)

Compiler: Compiled 17717 to 15923 computations (10.1% saved)

prune449.0ms (3.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	760	6	766
Fresh	1	3	4
Picked	1	0	1
Done	1	3	4
Total	763	12	775

Error

0.6b

Counts

775 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	16.1b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	30.5b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
▶	16.0b	(-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 (hypot.f64 1 x) (.f64 (hypot.f64 1 x) (hypot.f64 1 x)))))))
	30.4b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
✓	29.6b	(-.f64 1 (sqrt.f64 1/2))
✓	29.9b	(+.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)))
	34.3b	(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 11/32 (/.f64 (pow.f64 x 4) (sqrt.f64 2))) -1/2)) (.f64 (pow.f64 x 2) (/.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) 4)))
▶	35.1b	(+.f64 (.f64 1/4 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 2)) (sqrt.f64 1/2)))) (.f64 -1/2 (.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))
▶	30.5b	(+.f64 (neg.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))) -2)) -1)
▶	33.5b	(*.f64 (pow.f64 x 2) (/.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) 4))
▶	61.9b	(*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x))
	49.0b	0

Compiler

Compiled 300 to 274 computations (8.7% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (hypot.f64 1 x) (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))))
✓	0.0b	(sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 (hypot.f64 1 x) (.f64 (hypot.f64 1 x) (hypot.f64 1 x))))))
✓	1.7b	(-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 (hypot.f64 1 x) (.f64 (hypot.f64 1 x) (hypot.f64 1 x)))))))
✓	14.5b	(/.f64 (hypot.f64 1 x) (*.f64 (hypot.f64 1 x) (hypot.f64 1 x)))

Compiler

Compiled 87 to 68 computations (21.8% saved)

series1.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`rational.json-simplify-35`
1034×	`rational.json-simplify-38`
850×	`exponential.json-3`
850×	`rational.json-1`
850×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	168
1	99	168
2	242	96
3	677	96
4	2414	96

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

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

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

simplify156.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1632×	`rational.json-simplify-35`
1136×	`rational.json-simplify-51`
914×	`rational.json-simplify-1`
674×	`rational.json-simplify-43`
550×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	294	4578
1	644	4560
2	1347	4530
3	3493	4490
4	7346	4490

Stop Event

1×	node limit

Counts

146 → 231

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.5b	(/.f64 (sqrt.f64 1/2) x)

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 63 to 55 computations (12.7% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`rational.json-1`
1304×	`rational.json-2`
1304×	`rational.json-4`
1304×	`rational.json-3`
1300×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	112	64
2	225	64
3	441	62
4	927	62
5	2427	58
6	5922	58

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify222.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1796×	`rational.json-simplify-35`
1350×	`rational.json-simplify-52`
1142×	`rational.json-simplify-2`
1088×	`rational.json-simplify-48`
940×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	2110
1	249	2110
2	657	2110
3	1968	2110
4	3221	2110
5	3946	2110
6	4311	2110
7	5024	2110
8	6295	2110
9	7496	2110
10	7947	2110

Stop Event

1×	node limit

Counts

62 → 76

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

localize16.0ms (0.1%)

Compiler: Compiled 35 to 32 computations (8.6% saved)

localize65.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 2)) (sqrt.f64 1/2)))
	1.0b	(/.f64 -1/4 (sqrt.f64 2))
	1.0b	(pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)
✓	15.5b	(+.f64 (.f64 1/4 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 2)) (sqrt.f64 1/2)))) (.f64 -1/2 (.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))

Compiler

Compiled 166 to 154 computations (7.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 1/4 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 2)) (sqrt.f64 1/2)))) (.f64 -1/2 (.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))
0.0ms	x	@	inf	(+.f64 (.f64 1/4 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 2)) (sqrt.f64 1/2)))) (.f64 -1/2 (.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))
0.0ms	x	@	-inf	(+.f64 (.f64 1/4 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 2)) (sqrt.f64 1/2)))) (.f64 -1/2 (.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 2)) (sqrt.f64 1/2)))
0.0ms	x	@	0	(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 2)) (sqrt.f64 1/2)))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`exponential.json-3`
1474×	`rational.json-1`
1474×	`rational.json-2`
1474×	`rational.json-4`
1474×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	126
1	202	126
2	451	126
3	1219	126
4	4024	126

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify153.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1296×	`rational.json-simplify-2`
1230×	`rational.json-simplify-41`
968×	`rational.json-simplify-46`
922×	`rational.json-simplify-53`
882×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	3315
1	383	3303
2	864	3303
3	2922	3023
4	6072	3023

Stop Event

1×	node limit

Counts

77 → 75

Calls

Call 1

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

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

eval431.0ms (3.5%)

Compiler: Compiled 11630 to 10655 computations (8.4% saved)

prune111.0ms (0.9%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	522	3	525
Fresh	1	3	4
Picked	0	1	1
Done	1	6	7
Total	524	13	537

Error

0.6b

Counts

537 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.1b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	30.5b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
✓	16.0b	(-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 (hypot.f64 1 x) (.f64 (hypot.f64 1 x) (hypot.f64 1 x)))))))
▶	30.4b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
✓	29.6b	(-.f64 1 (sqrt.f64 1/2))
▶	30.5b	(-.f64 -1 (+.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))) -2))
✓	29.9b	(+.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)))
✓	35.1b	(+.f64 (.f64 1/4 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 2)) (sqrt.f64 1/2)))) (.f64 -1/2 (.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))
✓	33.5b	(*.f64 (pow.f64 x 2) (/.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) 4))
▶	34.3b	(.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/2 (.f64 11/32 (pow.f64 x 4)))))
✓	61.9b	(*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x))
▶	61.9b	(.f64 -1/2 (.f64 (/.f64 1 x) (sqrt.f64 1/2)))
	49.0b	0

Compiler

Compiled 231 to 210 computations (9.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1/2 (hypot.f64 1 x))
✓	0.0b	(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
✓	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓	1.7b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 37 to 31 computations (16.2% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 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	@	0	(-.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	@	-inf	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`rational.json-1`
1256×	`rational.json-2`
1256×	`rational.json-3`
1254×	`rational.json-4`
1238×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	84
1	83	84
2	186	84
3	390	84
4	790	84
5	2269	84
6	5434	84

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

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

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

simplify248.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1050×	`rational.json-simplify-1`
1032×	`rational.json-simplify-2`
700×	`rational.json-simplify-35`
698×	`rational.json-simplify-50`
590×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	422	5831
1	1117	5767
2	3052	5755
3	4925	5743
4	7527	5743

Stop Event

1×	node limit

Counts

209 → 282

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`rational.json-1`
1338×	`rational.json-2`
1338×	`rational.json-4`
1338×	`rational.json-3`
1320×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	69	11
2	152	11
3	303	11
4	668	11
5	2135	11
6	5435	11

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1460×	`rational.json-simplify-2`
1452×	`rational.json-simplify-51`
1416×	`rational.json-simplify-35`
1322×	`rational.json-simplify-61`
1012×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	880
1	586	880
2	1693	880
3	5733	880

Stop Event

1×	node limit

Counts

80 → 68

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 1 x))
✓	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)

series1.0ms (0%)

Counts

3 → 19

Calls

9 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`rational.json-1`
1422×	`rational.json-2`
1422×	`rational.json-4`
1422×	`rational.json-3`
1416×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	86	65
2	194	65
3	387	65
4	808	65
5	2455	53
6	5849	53

Stop Event

1×	node limit

Counts

3 → 129

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))))
(+.f64 1 (/.f64 1 x))

Outputs

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

simplify150.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1322×	`rational.json-simplify-44`
1304×	`rational.json-simplify-2`
1238×	`rational.json-simplify-41`
1074×	`rational.json-simplify-47`
1048×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	270	3038
1	646	3026
2	1718	3020
3	5921	3014

Stop Event

1×	node limit

Counts

148 → 163

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

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

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 51 to 44 computations (13.7% saved)

series0.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`rational.json-1`
1128×	`rational.json-2`
1128×	`rational.json-4`
1128×	`rational.json-3`
1124×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	101	35
2	200	33
3	394	33
4	765	29
5	1981	29
6	5083	29

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify398.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2136×	`rational.json-simplify-35`
1564×	`rational.json-simplify-2`
1280×	`rational.json-simplify-44`
1194×	`rational.json-simplify-51`
852×	`rational.json-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	89	1603
1	189	1491
2	395	1491
3	1050	1491
4	1919	1491
5	3024	1323
6	3558	1323
7	3674	1323
8	3810	1323
9	3962	1323
10	5426	1323
11	5859	1323
12	6930	1323
13	7344	1323
14	7550	1323
15	7718	1323

Stop Event

1×	node limit

Counts

39 → 53

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

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/4 (pow.f64 x 2))
✓	0.0b	(.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/2 (.f64 11/32 (pow.f64 x 4)))))
✓	0.1b	(*.f64 11/32 (pow.f64 x 4))
✓	15.5b	(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/2 (*.f64 11/32 (pow.f64 x 4))))

Compiler

Compiled 72 to 62 computations (13.9% saved)

series3.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/2 (.f64 11/32 (pow.f64 x 4)))))
0.0ms	x	@	inf	(.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/2 (.f64 11/32 (pow.f64 x 4)))))
0.0ms	x	@	inf	(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/2 (*.f64 11/32 (pow.f64 x 4))))
0.0ms	x	@	0	(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/2 (*.f64 11/32 (pow.f64 x 4))))
0.0ms	x	@	0	(*.f64 11/32 (pow.f64 x 4))

rewrite108.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`rational.json-1`
1904×	`rational.json-2`
1904×	`rational.json-4`
1904×	`rational.json-3`
772×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	120
1	132	108
2	256	108
3	535	108
4	1253	108
5	5206	108

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

Inputs
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/2 (*.f64 11/32 (pow.f64 x 4))))
(*.f64 11/32 (pow.f64 x 4))
(.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/2 (.f64 11/32 (pow.f64 x 4)))))
(*.f64 1/4 (pow.f64 x 2))

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

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1698×	`rational.json-simplify-35`
1154×	`rational.json-simplify-61`
1154×	`rational.json-simplify-49`
1096×	`rational.json-simplify-51`
828×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	9034
1	1520	9034
2	5656	9034

Stop Event

1×	node limit

Counts

200 → 192

Calls

Call 1

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

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

eval552.0ms (4.5%)

Compiler: Compiled 14866 to 13343 computations (10.2% saved)

prune287.0ms (2.3%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	820	7	827
Fresh	0	1	1
Picked	1	0	1
Done	4	7	11
Total	825	15	840

Error

0.6b

Counts

840 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	48.9b	(-.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1))
✓	16.1b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
	30.4b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
	30.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
	30.4b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (/.f64 1 (/.f64 x (+.f64 1 x))))))
✓	16.0b	(-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 (hypot.f64 1 x) (.f64 (hypot.f64 1 x) (hypot.f64 1 x)))))))
✓	29.6b	(-.f64 1 (sqrt.f64 1/2))
	30.4b	(-.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))
✓	30.5b	(-.f64 -1 (+.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))) -2))
✓	29.9b	(+.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)))
✓	35.1b	(+.f64 (.f64 1/4 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 2)) (sqrt.f64 1/2)))) (.f64 -1/2 (.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))
	34.3b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
	33.5b	(*.f64 1/8 (pow.f64 x 2))
✓	61.9b	(*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x))
	49.0b	0

Compiler

Compiled 174 to 156 computations (10.3% saved)

regimes141.0ms (1.1%)

Counts

26 → 2

Calls

Call 1

Inputs
0
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x))
(.f64 -1/2 (.f64 (/.f64 1 x) (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1))
(-.f64 -1 (+.f64 (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 (+.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))) -2))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (/.f64 1 (/.f64 x (+.f64 1 x))))))
(+.f64 (neg.f64 (+.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))) -2)) -1)
(-.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 1 (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 (sqrt.f64 1/2) x)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(*.f64 (pow.f64 x 2) (/.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) 4))
(-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 (hypot.f64 1 x) (.f64 (hypot.f64 1 x) (hypot.f64 1 x)))))))
(.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -1/2 (.f64 11/32 (pow.f64 x 4)))))
(-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (.f64 (hypot.f64 1 x) (/.f64 1 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))))))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 11/32 (/.f64 (pow.f64 x 4) (sqrt.f64 2))) -1/2)) (.f64 (pow.f64 x 2) (/.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)) 4)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))) (.f64 -1/2 (.f64 (*.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))
(+.f64 (.f64 1/4 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 2)) (sqrt.f64 1/2)))) (.f64 -1/2 (.f64 (.f64 (-.f64 3/8 (pow.f64 (/.f64 -1/4 (sqrt.f64 2)) 2)) (pow.f64 x 4)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 2)))))

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

Calls

7 calls:

67.0ms	(/.f64 1 (hypot.f64 1 x))
34.0ms	x
11.0ms	(hypot.f64 1 x)
6.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
5.0ms	(-.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 385 to 344 computations (10.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000012068	1.0109077324976037

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes118.0ms (1%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

7 calls:

59.0ms	(/.f64 1 (hypot.f64 1 x))
27.0ms	x
8.0ms	(hypot.f64 1 x)
5.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
4.0ms	(-.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 237 to 210 computations (11.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000012068	1.0109077324976037

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes79.0ms (0.6%)

Counts

15 → 2

Calls

Call 1

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

68.0ms	x
7.0ms	(hypot.f64 1 x)

Results

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

Compiler

Compiled 133 to 117 computations (12% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000012068	1.0109077324976037

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes94.0ms (0.8%)

Counts

14 → 3

Calls

Call 1

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

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 (/.f64 x (+.f64 1 x))))))

Calls

1 calls:

90.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 119 to 105 computations (11.8% saved)

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1.5536538517271622e-6	76.80711873085018
15.0ms	-1.5676650603425304	-0.14810281436706885

Results

32.0ms

240×

body

256

valid

Compiler

Compiled 308 to 267 computations (13.3% saved)

regimes23.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

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

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:

19.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 94 to 83 computations (11.7% saved)

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.5536538517271622e-6	76.80711873085018
13.0ms	-1.5676650603425304	-0.14810281436706885

Results

26.0ms

240×

body

256

valid

Compiler

Compiled 272 to 240 computations (11.8% saved)

regimes16.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch29.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.5536538517271622e-6	76.80711873085018
12.0ms	-1.5676650603425304	-0.14810281436706885

Results

26.0ms

240×

body

256

valid

Compiler

Compiled 236 to 213 computations (9.7% saved)

regimes14.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch74.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.5536538517271622e-6	76.80711873085018
57.0ms	-1.5676650603425304	-0.14810281436706885

Results

70.0ms

240×

body

256

valid

Compiler

Compiled 212 to 195 computations (8% saved)

regimes15.0ms (0.1%)

Accuracy

Total -45.1b remaining (-269.6%)

Threshold costs -45.1b (-269.6%)

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:

14.0ms

Results

Error	Segments	Branch
16.7b	3	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch153.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	6.218373908215685e-88	9.778683375897207e-77
108.0ms	-4.3111979446478393e-75	-1.9366996006051107e-80

Results

149.0ms

304×

body

1024

valid

Compiler

Compiled 188 to 186 computations (1.1% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	557

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) (-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 (hypot.f64 1 x) (.f64 (hypot.f64 1 x) (hypot.f64 1 x))))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(if (<=.f64 x -5404319552844595/4503599627370496) (-.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 (/.f64 x (+.f64 1 x))))))))
(if (<=.f64 x -5404319552844595/4503599627370496) (-.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 -5404319552844595/4503599627370496) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 6980579422424269/4503599627370496) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 6980579422424269/4503599627370496) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) 0 (-.f64 1 (sqrt.f64 1/2))))
0

Outputs
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) (-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 (hypot.f64 1 x) (.f64 (hypot.f64 1 x) (hypot.f64 1 x))))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(if (<=.f64 (hypot.f64 1 x) 4548635623644201/4503599627370496) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(if (<=.f64 x -5404319552844595/4503599627370496) (-.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 (/.f64 x (+.f64 1 x))))))))
(if (<=.f64 x -5404319552844595/4503599627370496) (-.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 -5404319552844595/4503599627370496) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 6980579422424269/4503599627370496) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 6980579422424269/4503599627370496) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 2802961503436253/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) 0 (-.f64 1 (sqrt.f64 1/2))))
0

Compiler

Compiled 218 to 185 computations (15.1% saved)

soundness111.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1472×	`rational.json-simplify-35`
1094×	`rational.json-simplify-46`
1088×	`rational.json-simplify-2`
780×	`rational.json-simplify-50`
738×	`rational.json-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	395	5858
1	938	5822
2	2463	5804
3	5505	5774

Stop Event

1×	node limit

Compiler

Compiled 23 to 21 computations (8.7% saved)

end123.0ms (1%)

Compiler: Compiled 210 to 177 computations (15.7% saved)