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)

sample1.7s (18.9%)

Results

837.0ms	2211×	body	2048	valid
456.0ms	4537×	body	256	valid
284.0ms	1015×	body	1024	valid
103.0ms	493×	body	512	valid

Bogosity

preprocess701.0ms (7.8%)

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)

simplify702.0ms (7.8%)

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

14.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.2b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Compiler

Compiled 13 to 12 computations (7.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (hypot.f64 1 x))
✓	0.0b	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
✓	0.0b	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
✓	2.1b	(-.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	@	-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	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`bool.json-1`
1346×	`bool.json-2`
1306×	`rational.json-1`
1306×	`rational.json-2`
1306×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	96
1	129	96
2	364	96
3	747	96
4	1583	96
5	4266	96

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
(sqrt.f64 (*.f64 1/2 (+.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 (/.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 1/2 (-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))) 4))))) (#(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)))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))) 4))))) (#(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 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 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 1 (hypot.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 (hypot.f64 1 x)))))) 4)) 8)))) (#(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 /.f64 (neg.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 neg.f64 (+.f64 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 1 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.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)))))))))))
((#(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 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 (hypot.f64 1 x)) (+.f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))) (.f64 1/2 (+.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (+.f64 1 (/.f64 1 (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 (/.f64 1 (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 4 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1/4))))) (#(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 (hypot.f64 1 x)) 2) (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))) (/.f64 2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (hypot.f64 1 x)) (.f64 (+.f64 1 (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 (+.f64 1 (hypot.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.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))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (hypot.f64 1 x)) (/.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 1/4) (/.f64 (/.f64 2 (hypot.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))) (.f64 1/2 (+.f64 1 (hypot.f64 1 x)))) (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (+.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)) 1/2) (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 2 (/.f64 2 (hypot.f64 1 x))) 1/2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 1/2 (+.f64 1 (hypot.f64 1 x))) 1/2) (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 2) 1/2) (/.f64 1/4 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (hypot.f64 1 x)) 1/2) (.f64 (+.f64 1 (hypot.f64 1 x)) 1/4))))) (#(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 (/.f64 1 (hypot.f64 1 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (hypot.f64 1 x) (neg.f64 (+.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 2 (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 1 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))) (/.f64 1 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 (hypot.f64 1 x) -2) (neg.f64 (+.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 4 (+.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 2 (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 2) (.f64 (hypot.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))) (/.f64 4 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))))) (#(struct:change #<rule 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((x /.f64 (neg.f64 (.f64 (+.f64 1 (hypot.f64 1 x)) 2)) (neg.f64 (.f64 (hypot.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 1 (hypot.f64 1 x)))) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))) (/.f64 (hypot.f64 1 x) (.f64 1/2 (+.f64 1 (hypot.f64 1 x))))) (.f64 (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))) (/.f64 (hypot.f64 1 x) (.f64 1/2 (+.f64 1 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (hypot.f64 1 x) (.f64 1/2 (+.f64 1 (hypot.f64 1 x)))) (/.f64 2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))) (.f64 (/.f64 (hypot.f64 1 x) (.f64 1/2 (+.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 (/.f64 (hypot.f64 1 x) (.f64 1/2 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (hypot.f64 1 x) (.f64 1/2 (+.f64 1 (hypot.f64 1 x))))) (.f64 (/.f64 (hypot.f64 1 x) (.f64 1/2 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (hypot.f64 1 x) (.f64 1/2 (+.f64 1 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (+.f64 1 (hypot.f64 1 x))) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 1 (/.f64 1 (hypot.f64 1 x))) (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1 (/.f64 1 (hypot.f64 1 x))) (+.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 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 1/2 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))))))) (#(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 4 (/.f64 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))) 4))))) (#(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 (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 not (not (sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (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))))))))))
((#(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 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 (.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 2 (hypot.f64 1 x)) 1/2)))) (#(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 (/.f64 1 (hypot.f64 1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (/.f64 1 (hypot.f64 1 x)) 4))))) (#(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 (/.f64 2 (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 (/.f64 2 (hypot.f64 1 x)) (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 1 (.f64 (hypot.f64 1 x) (.f64 (hypot.f64 1 x) 2))) (.f64 (hypot.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (hypot.f64 1 x)) (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (hypot.f64 1 x)) (/.f64 1 (hypot.f64 1 x)))))))

simplify117.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1370×	`rational.json-simplify-59`
1260×	`rational.json-simplify-35`
1122×	`rational.json-simplify-53`
1066×	`rational.json-simplify-2`
1000×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	5577
1	816	5577
2	2250	5319
3	4958	5319

Stop Event

1×	node limit

Counts

181 → 269

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

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

eval330.0ms (3.7%)

Compiler: Compiled 5880 to 5374 computations (8.6% saved)

prune74.0ms (0.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	264	5	269
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	265	5	270

Error

14.0b

Counts

270 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.2b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
▶	31.7b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))
▶	31.8b	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 x)))))
▶	45.8b	(-.f64 1 (sqrt.f64 (*.f64 1/2 2)))
▶	30.9b	(-.f64 1 (sqrt.f64 1/2))

Compiler

Compiled 90 to 84 computations (6.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1/2 (hypot.f64 1 x))
✓	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓	0.0b	(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
✓	2.1b	(-.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
1.0ms	x	@	0	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
1.0ms	x	@	inf	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
0.0ms	x	@	-inf	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
0.0ms	x	@	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))))

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`rational.json-simplify-35`
1252×	`bool.json-1`
1252×	`bool.json-2`
1212×	`rational.json-1`
1212×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	84
1	117	84
2	334	84
3	708	84
4	1487	84
5	3872	84

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

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

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)) 8)))) (#(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)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4))) (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (hypot.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (hypot.f64 1 x)) (/.f64 1/4 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (hypot.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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 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 (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 (.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 (hypot.f64 1 x)) 2)))) (#(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 (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 (/.f64 1/2 (hypot.f64 1 x)) 4) 4)))) (#(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 neg.f64 (/.f64 -1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x)))))))

simplify182.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1318×	`rational.json-simplify-51`
1218×	`rational.json-simplify-35`
1060×	`rational.json-simplify-2`
990×	`rational.json-simplify-1`
972×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	351	5035
1	786	5023
2	1994	5023
3	5436	5023

Stop Event

1×	node limit

Counts

175 → 271

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

rewrite97.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`bool.json-1`
1838×	`bool.json-2`
1112×	`rational.json-1`
1112×	`rational.json-2`
1112×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	75	11
2	223	11
3	434	11
4	826	11
5	1745	11
6	4148	11
7	7315	11

Stop Event

1×	node limit

Counts

1 → 36

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 (+.f64 (sqrt.f64 1/2) -1) -1/2) (*.f64 (+.f64 (sqrt.f64 1/2) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (sqrt.f64 1/2) -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 (+.f64 (sqrt.f64 1/2) -1) -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 -1 (*.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 1/2) 2))))) (#(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 1 (sqrt.f64 1/2)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (sqrt.f64 1/2) -1)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) -1/2) 2)))) (#(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 -2 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 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 (-.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 1 (sqrt.f64 1/2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (sqrt.f64 1/2) -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 4)) (neg.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))))))

simplify334.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2922×	`rational.json-simplify-52`
2026×	`rational.json-simplify-35`
1702×	`rational.json-simplify-1`
1246×	`rational.json-simplify-41`
1070×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	396
1	165	396
2	344	396
3	941	396
4	2041	396
5	3384	396
6	3545	396
7	3725	396
8	3878	396
9	4076	396
10	4436	396
11	6090	396
12	6569	396
13	6875	396
14	7047	396
15	7243	396
16	7243	396

Stop Event

1×	node limit

Counts

36 → 37

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 (+.f64 (sqrt.f64 1/2) -1) -1/2) (.f64 (+.f64 (sqrt.f64 1/2) -1) -1/2))
(+.f64 -2 (-.f64 1 (+.f64 (sqrt.f64 1/2) -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 (+.f64 (sqrt.f64 1/2) -1) -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 -1 (.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 1/2) 2))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 4) 1/4)
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8) 1/8)
(.f64 (.f64 2 (+.f64 (sqrt.f64 1/2) -1)) -1/2)
(.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) -1/2) 2)
(.f64 1/4 (.f64 (-.f64 1 (sqrt.f64 1/2)) 4))
(.f64 -2 (.f64 (+.f64 (sqrt.f64 1/2) -1) 1/2))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 1/4) 4)
(/.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 1 (sqrt.f64 1/2)) 8) 8)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 1/2) -1)) -2)
(/.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8)) 16)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 1/2) -1) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (sqrt.f64 1/2)) 8))) 32)
(/.f64 (neg.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) 4)) (neg.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) 4))) 8)
(neg.f64 (+.f64 (sqrt.f64 1/2) -1))

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 (+.f64 (sqrt.f64 1/2) -1) -1/2) (.f64 (+.f64 (sqrt.f64 1/2) -1) -1/2))
(-.f64 1 (sqrt.f64 1/2))
(+.f64 -2 (-.f64 1 (+.f64 (sqrt.f64 1/2) -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 (+.f64 (sqrt.f64 1/2) -1) -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 -1 (.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 1/2) 2))
(-.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 1 (sqrt.f64 1/2)) 8) 1/8)
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 2 (+.f64 (sqrt.f64 1/2) -1)) -1/2)
(-.f64 1 (sqrt.f64 1/2))
(.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) -1/2) 2)
(-.f64 1 (sqrt.f64 1/2))
(.f64 1/4 (.f64 (-.f64 1 (sqrt.f64 1/2)) 4))
(-.f64 1 (sqrt.f64 1/2))
(.f64 -2 (.f64 (+.f64 (sqrt.f64 1/2) -1) 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 (-.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 1 (sqrt.f64 1/2)) 8) 8)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 1/2) -1)) -2)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 4) -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 (+.f64 (sqrt.f64 1/2) -1) 4)) -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 (neg.f64 (*.f64 (+.f64 (sqrt.f64 1/2) -1) 4)) 4)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 1/2)) 8)))) 64)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) 4)) (neg.f64 (.f64 (+.f64 (sqrt.f64 1/2) -1) 4))) 8)
(-.f64 1 (sqrt.f64 1/2))
(neg.f64 (+.f64 (sqrt.f64 1/2) -1))
(-.f64 1 (sqrt.f64 1/2))

localize7.0ms (0.1%)

Compiler: Compiled 17 to 17 computations (0% saved)

localize16.0ms (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	(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)))))

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`bool.json-1`
1296×	`bool.json-2`
1256×	`rational.json-1`
1256×	`rational.json-2`
1256×	`rational.json-4`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	120	52
2	345	52
3	711	52
4	1508	52
5	4102	40

Stop Event

1×	node limit

Counts

2 → 45

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 1/2 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 (-.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)) -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 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 (*.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)) 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 2 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4))) 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 neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (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 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 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))) (#(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))) 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 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))

simplify372.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

2354×	`rational.json-simplify-2`
2298×	`rational.json-simplify-35`
1640×	`rational.json-simplify-1`
1556×	`rational.json-simplify-52`
692×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1649
1	222	1649
2	531	1649
3	1239	1649
4	2428	1649
5	3176	1649
6	3478	1649
7	3812	1649
8	4264	1649
9	4694	1649
10	5293	1649
11	5795	1649
12	6559	1649
13	6791	1649
14	7324	1649
15	7341	1649
16	7342	1649
17	7342	1649

Stop Event

1×	node limit

Counts

61 → 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 -1/2 (/.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 (-.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 (-.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)))
(+.f64 (-.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)) -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 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 (.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(.f64 1/4 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4))
(*.f64 (/.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 2 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)) 8)
(/.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))) 2)
(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 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))
(.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 2 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))) 16)

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

localize15.0ms (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)

series1.0ms (0%)

Counts

2 → 16

Calls

6 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	@	inf	(sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x))))

rewrite102.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2048×	`bool.json-1`
1118×	`rational.json-simplify-35`
1024×	`bool.json-2`
986×	`rational.json-1`
986×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	115	52
2	321	52
3	666	52
4	1347	52
5	3270	52
6	7955	52

Stop Event

1×	node limit

Counts

2 → 49

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 (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 (-.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 (+.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))) -1) 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)))) -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 x))))) 8)) (*.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 (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))) -1))) (neg.f64 (*.f64 2 (+.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))) -1)))) 4)))) (#(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 not (not (-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x))))) (-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 1 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x))))) (-.f64 1 (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 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 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))) 8)) (*.f64 2 (*.f64 (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))) (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))) (sqrt.f64 (*.f64 1/2 (-.f64 1 (/.f64 1 x)))))))))

simplify345.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

2398×	`rational.json-simplify-2`
1908×	`rational.json-simplify-35`
1832×	`rational.json-simplify-1`
1316×	`rational.json-simplify-52`
662×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	2029
1	243	2029
2	605	2029
3	1613	2029
4	2774	2029
5	3515	2029
6	3730	2029
7	3982	2029
8	4266	2029
9	4585	2029
10	5385	2029
11	6056	2029
12	6764	2029
13	7337	2029
14	7378	2029
15	7378	2029

Stop Event

1×	node limit

Counts

65 → 77

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 (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 (-.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 (+.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 (/.f64 1 x)))) -1) 4) -4)
(/.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 (/.f64 1 x)))) -1))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (sqrt.f64 (.f64 1/2 (-.f64 1 (/.f64 1 x))))) 8)) (.f64 2 (.f64 (-.f64 1 (sqrt.f64 (.f64 1/2 (-.f64 1 (/.f64 1 x))))) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (+.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 (/.f64 1 x)))) -1))) (neg.f64 (.f64 2 (+.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 (/.f64 1 x)))) -1)))) 4)
(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 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 (/.f64 1 x)))) 8)) (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (-.f64 1 (/.f64 1 x)))) 8))) 32)

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

eval180.0ms (2%)

Compiler: Compiled 8129 to 7386 computations (9.1% saved)

prune173.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	455	6	461
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	458	8	466

Error

0.5b

Counts

466 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.2b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
▶	31.8b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
▶	31.7b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
▶	45.8b	(-.f64 1 (sqrt.f64 1))
✓	30.9b	(-.f64 1 (sqrt.f64 1/2))
	32.5b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
▶	32.8b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
▶	32.2b	(*.f64 1/8 (pow.f64 x 2))

Compiler

Compiled 134 to 117 computations (12.7% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 22 computations (18.5% 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 -1/2 x))))
1.0ms	x	@	-inf	(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
0.0ms	x	@	inf	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
0.0ms	x	@	0	(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
0.0ms	x	@	-inf	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1200×	`rational.json-simplify-35`
1098×	`bool.json-1`
1098×	`bool.json-2`
1058×	`rational.json-1`
1058×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	116	40
2	329	40
3	678	40
4	1445	40
5	3436	40

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.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 (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 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 (*.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1 (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 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 not (not (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))

simplify185.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2028×	`rational.json-simplify-35`
1158×	`rational.json-simplify-54`
1104×	`rational.json-simplify-2`
998×	`rational.json-simplify-1`
766×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1951
1	243	1951
2	617	1951
3	1668	1951
4	2894	1951
5	3755	1951
6	4122	1951
7	4722	1951
8	6465	1951

Stop Event

1×	node limit

Counts

65 → 85

Calls

Call 1

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

Outputs
(-.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 (sqrt.f64 1/2) x))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(+.f64 1 (-.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 1/4 (/.f64 (/.f64 1 x) (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (*.f64 1/4 (/.f64 (/.f64 1 x) (sqrt.f64 1/2))) (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 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)) (pow.f64 x 2)))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (.f64 1/4 (/.f64 (/.f64 1 x) (sqrt.f64 1/2))) (.f64 1/32 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 1 (+.f64 (.f64 1/32 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (sqrt.f64 1/2) 3))) (-.f64 (.f64 1/4 (/.f64 (/.f64 1 x) (sqrt.f64 1/2))) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (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))))))) (sqrt.f64 1/2))
(+.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)) (pow.f64 x 2))) (.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (+.f64 (.f64 1/32 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)) (pow.f64 x 2))) (.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))))))
(+.f64 1 (+.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)) (pow.f64 x 2)))) (-.f64 (.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 (/.f64 1 x) (sqrt.f64 1/2))) (+.f64 (.f64 1/32 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)) (pow.f64 x 2))) (-.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (.f64 1/32 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (-.f64 (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (sqrt.f64 1/2)))))
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(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 4) 1/4)
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(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)))

localize4.0ms (0%)

Compiler: Compiled 8 to 8 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 1/8 (pow.f64 x 2))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1570×	`bool.json-1`
1570×	`bool.json-2`
1514×	`rational.json-1`
1514×	`rational.json-2`
1514×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	69	13
2	187	13
3	372	13
4	743	13
5	1578	13
6	3607	13
7	6297	13

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/8 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/8 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x 2) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/8 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/8 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 8) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/8 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2)))))))

simplify639.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

8130×	`rational.json-simplify-41`
2604×	`rational.json-simplify-35`
1356×	`rational.json-simplify-2`
1356×	`rational.json-simplify-49`
700×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	169
1	95	169
2	173	169
3	375	169
4	905	169
5	2246	169
6	2842	169
7	2920	169
8	2963	169
9	2995	169
10	3023	169
11	3050	169
12	3076	169
13	3102	169
14	3128	169
15	3154	169
16	3180	169
17	3206	169
18	3232	169
19	3258	169
20	3284	169
21	4152	169
22	4231	169
23	4309	169
24	4382	169
25	4453	169
26	4524	169
27	4815	169
28	4868	169
29	4919	169
30	4968	169
31	4968	169
32	5017	169
33	5066	169
34	5115	169
35	5164	169

Stop Event

1×	node limit

Counts

13 → 14

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 21 computations (19.2% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`rational.json-simplify-35`
1202×	`bool.json-1`
1202×	`bool.json-2`
1162×	`rational.json-1`
1162×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	108	40
2	315	40
3	671	40
4	1410	40
5	3703	40

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.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 (-.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)) -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 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 2 (*.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(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 (-.f64 1 (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))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.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 2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))) -4)))) (#(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 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)))) 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 neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (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 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 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))) (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))

simplify147.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1758×	`rational.json-simplify-35`
1674×	`rational.json-simplify-38`
1132×	`rational.json-simplify-61`
1060×	`rational.json-simplify-2`
896×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	1951
1	231	1951
2	568	1951
3	1374	1951
4	2835	1951
5	3836	1951
6	4344	1951
7	5181	1951
8	6872	1951

Stop Event

1×	node limit

Counts

65 → 82

Calls

Call 1

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

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

localize32.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -11/128 (pow.f64 x 4))
	0.2b	(*.f64 1/8 (pow.f64 x 2))
✓	17.0b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))

Compiler

Compiled 33 to 26 computations (21.2% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite118.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`bool.json-1`
1880×	`bool.json-2`
1352×	`rational.json-simplify-35`
1198×	`rational.json-1`
1198×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	116	44
2	277	44
3	528	44
4	1079	44
5	2360	44
6	4806	44
7	7662	44

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x 4) -11/256)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (*.f64 (pow.f64 x 4) -11/32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 4) -11/64) (*.f64 (pow.f64 x 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -11/128 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) -11/256) (*.f64 (pow.f64 x 4) -11/256))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -11/128 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) -11/64) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) -11/32) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 4) -11/32)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) -11/32))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) -11/32)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) -11/32)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 4) -11/32))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -11/128 (pow.f64 x 4)))))))

simplify257.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3764×	`rational.json-simplify-41`
3214×	`rational.json-simplify-51`
2198×	`rational.json-simplify-35`
1640×	`rational.json-simplify-49`
814×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	839
1	161	839
2	371	839
3	983	839
4	1809	839
5	2271	839
6	2378	839
7	2460	839
8	2525	839
9	2588	839
10	2650	839
11	2712	839
12	2774	839
13	2836	839
14	2898	839
15	2960	839
16	3022	839
17	3084	839
18	3146	839
19	4294	839

Stop Event

1×	node limit

Counts

35 → 35

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 0)
(.f64 2 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 1/2))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x 4) -11/256)))
(.f64 4 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 4))
(.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 1)
(.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))))
(.f64 (.f64 2 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))) 1/2)
(.f64 (.f64 4 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))) 1/4)
(.f64 1/4 (.f64 4 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))))
(.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) 1/2) (*.f64 (pow.f64 x 4) -11/32)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 4) -11/64) (*.f64 (pow.f64 x 2) 1/4)))
(.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 1/2) 2)
(.f64 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 4) 4)
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))) 2)
(/.f64 (.f64 4 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))) 4)
(/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 8)))) 64)
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) 0)
(+.f64 0 (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 4) -11/256) (.f64 (pow.f64 x 4) -11/256))
(-.f64 (*.f64 -11/128 (pow.f64 x 4)) 0)
(/.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(/.f64 (*.f64 (pow.f64 x 4) -11/64) 2)
(/.f64 (*.f64 (pow.f64 x 4) -11/32) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) -11/32)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 4) -11/32))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) -11/32)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) -11/32)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) -11/32))))) 64)

Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 0)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(.f64 2 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 1/2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/16) (*.f64 (pow.f64 x 4) -11/256)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(.f64 4 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(.f64 1 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(.f64 (.f64 2 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))) 1/2)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(.f64 (.f64 4 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))) 1/4)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(.f64 1/4 (.f64 4 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) 1/2) (*.f64 (pow.f64 x 4) -11/32)))
(.f64 1/2 (.f64 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 -11/128 (pow.f64 x 4)))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 4) -11/64) (*.f64 (pow.f64 x 2) 1/4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 1/2) 2)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 4) 4)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(/.f64 (.f64 2 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))) 2)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(/.f64 (.f64 4 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))) 4)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(/.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 8) 8)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 8)) 16)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))) 8))) 32)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4))) 8)))) 64)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 -11/128 (pow.f64 x 4)) 0)
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 0 (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (.f64 (pow.f64 x 4) -11/256) (.f64 (pow.f64 x 4) -11/256))
(*.f64 -11/128 (pow.f64 x 4))
(-.f64 (*.f64 -11/128 (pow.f64 x 4)) 0)
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) -11/64) 2)
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) -11/32) 4)
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) -11/32)) 8)
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 4) -11/32))) 16)
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) -11/32)))) 32)
(*.f64 -11/128 (pow.f64 x 4))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) -11/32)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) -11/32))))) 64)
(*.f64 -11/128 (pow.f64 x 4))

eval160.0ms (1.8%)

Compiler: Compiled 3890 to 3526 computations (9.4% saved)

prune31.0ms (0.3%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	230	8	238

Error

0.5b

Counts

238 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.2b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	31.8b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	31.7b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓	45.8b	(-.f64 1 (sqrt.f64 1))
✓	30.9b	(-.f64 1 (sqrt.f64 1/2))
▶	32.5b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
✓	32.8b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
✓	32.2b	(*.f64 1/8 (pow.f64 x 2))

Compiler

Compiled 75 to 66 computations (12% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 69/1024 (pow.f64 x 6))
	0.1b	(*.f64 -11/128 (pow.f64 x 4))
	0.2b	(*.f64 1/8 (pow.f64 x 2))
✓	20.3b	(+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))

Compiler

Compiled 60 to 48 computations (20% saved)

series3.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))
0.0ms	x	@	inf	(*.f64 69/1024 (pow.f64 x 6))
0.0ms	x	@	inf	(+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))
0.0ms	x	@	0	(*.f64 69/1024 (pow.f64 x 6))
0.0ms	x	@	-inf	(+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))

rewrite110.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1896×	`bool.json-1`
1380×	`rational.json-simplify-35`
1276×	`bool.json-2`
1218×	`rational.json-1`
1218×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	116	44
2	278	44
3	537	44
4	1094	44
5	2372	44
6	4856	44
7	7710	44

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 x 6) 69/2048) (*.f64 (pow.f64 x 4) -11/256)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 4) -11/64) (*.f64 (pow.f64 x 6) 69/512)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 69/1024 (pow.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 69/1024 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 6) 69/2048) (*.f64 (pow.f64 x 6) 69/2048))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 69/1024 (pow.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 69/1024 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 6) 69/512) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 6) 69/256) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 69/1024 (pow.f64 x 6)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 69/1024 (pow.f64 x 6)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 69/1024 (pow.f64 x 6)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 69/1024 (pow.f64 x 6)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 69/1024 (pow.f64 x 6)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 69/1024 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 69/1024 (pow.f64 x 6)) (*.f64 69/1024 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 69/1024 (pow.f64 x 6)) (*.f64 69/1024 (pow.f64 x 6)))))))

simplify218.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3674×	`rational.json-simplify-41`
2888×	`rational.json-simplify-51`
2090×	`rational.json-simplify-35`
948×	`rational.json-simplify-2`
566×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	808
1	157	808
2	391	808
3	1099	808
4	2166	808
5	2736	808
6	2941	808
7	3048	808
8	3134	808
9	3219	808
10	3304	808
11	3387	808
12	3469	808
13	3551	808
14	3633	808
15	3633	808

Stop Event

1×	node limit

Counts

34 → 34

Calls

Call 1

Inputs
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 69/1024 (pow.f64 x 6))
(*.f64 69/1024 (pow.f64 x 6))
(-.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 0)
(.f64 4 (/.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 4))
(.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 1)
(.f64 1 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(.f64 2 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 1/2))
(.f64 2 (+.f64 (.f64 (pow.f64 x 6) 69/2048) (*.f64 (pow.f64 x 4) -11/256)))
(.f64 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 2) 1/2)
(.f64 (.f64 4 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 2))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 4) -11/64) (*.f64 (pow.f64 x 6) 69/512)))
(.f64 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 1/2) 2)
(.f64 1/4 (.f64 4 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))))
(.f64 (/.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 4) 4)
(/.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 1)
(/.f64 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 2) 2)
(/.f64 (.f64 4 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) 4)
(/.f64 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 8)))) 64)
(+.f64 (*.f64 69/1024 (pow.f64 x 6)) 0)
(+.f64 0 (*.f64 69/1024 (pow.f64 x 6)))
(+.f64 (.f64 (pow.f64 x 6) 69/2048) (.f64 (pow.f64 x 6) 69/2048))
(-.f64 (*.f64 69/1024 (pow.f64 x 6)) 0)
(/.f64 (*.f64 69/1024 (pow.f64 x 6)) 1)
(/.f64 (*.f64 (pow.f64 x 6) 69/512) 2)
(/.f64 (*.f64 (pow.f64 x 6) 69/256) 4)
(/.f64 (.f64 (.f64 69/1024 (pow.f64 x 6)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 69/1024 (pow.f64 x 6)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 69/1024 (pow.f64 x 6)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 69/1024 (pow.f64 x 6)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 69/1024 (pow.f64 x 6)) 8)))) 64)

Outputs
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 69/1024 (pow.f64 x 6))
(*.f64 69/1024 (pow.f64 x 6))
(-.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 0)
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(.f64 4 (/.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 4))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 1)
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(.f64 1 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(.f64 2 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 1/2))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(.f64 2 (+.f64 (.f64 (pow.f64 x 6) 69/2048) (*.f64 (pow.f64 x 4) -11/256)))
(.f64 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 2) 1/2)
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(.f64 (.f64 4 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))) 1/4)
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(.f64 1/2 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 2))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(.f64 1/2 (+.f64 (.f64 (pow.f64 x 4) -11/64) (*.f64 (pow.f64 x 6) 69/512)))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(.f64 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 1/2) 2)
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(.f64 1/4 (.f64 4 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(.f64 (/.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 4) 4)
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(/.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 1)
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(/.f64 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 2) 2)
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(/.f64 (.f64 4 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) 4)
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(/.f64 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 8) 8)
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 8)) 16)
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))) 8))) 32)
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 69/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4))) 8)))) 64)
(+.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 69/1024 (pow.f64 x 6)))
(+.f64 (*.f64 69/1024 (pow.f64 x 6)) 0)
(*.f64 69/1024 (pow.f64 x 6))
(+.f64 0 (*.f64 69/1024 (pow.f64 x 6)))
(*.f64 69/1024 (pow.f64 x 6))
(+.f64 (.f64 (pow.f64 x 6) 69/2048) (.f64 (pow.f64 x 6) 69/2048))
(*.f64 69/1024 (pow.f64 x 6))
(-.f64 (*.f64 69/1024 (pow.f64 x 6)) 0)
(*.f64 69/1024 (pow.f64 x 6))
(/.f64 (*.f64 69/1024 (pow.f64 x 6)) 1)
(*.f64 69/1024 (pow.f64 x 6))
(/.f64 (*.f64 (pow.f64 x 6) 69/512) 2)
(*.f64 69/1024 (pow.f64 x 6))
(/.f64 (*.f64 (pow.f64 x 6) 69/256) 4)
(*.f64 69/1024 (pow.f64 x 6))
(/.f64 (.f64 (.f64 69/1024 (pow.f64 x 6)) 8) 8)
(*.f64 69/1024 (pow.f64 x 6))
(/.f64 (.f64 2 (.f64 (*.f64 69/1024 (pow.f64 x 6)) 8)) 16)
(*.f64 69/1024 (pow.f64 x 6))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 69/1024 (pow.f64 x 6)) 8))) 32)
(*.f64 69/1024 (pow.f64 x 6))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 69/1024 (pow.f64 x 6)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 69/1024 (pow.f64 x 6)) 8)))) 64)
(*.f64 69/1024 (pow.f64 x 6))

eval25.0ms (0.3%)

Compiler: Compiled 1234 to 1052 computations (14.7% saved)

prune11.0ms (0.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	59	8	67

Error

0.5b

Counts

67 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.2b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	31.8b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	31.7b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓	45.8b	(-.f64 1 (sqrt.f64 1))
✓	30.9b	(-.f64 1 (sqrt.f64 1/2))
✓	32.5b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
✓	32.8b	(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
✓	32.2b	(*.f64 1/8 (pow.f64 x 2))

Compiler

Compiled 75 to 66 computations (12% saved)

regimes57.0ms (0.6%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

7 calls:

19.0ms	x
11.0ms	(/.f64 1 (hypot.f64 1 x))
6.0ms	(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
0.5b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 160 to 141 computations (11.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000009000141723	5.423202959157459

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes59.0ms (0.7%)

Counts

11 → 2

Calls

Call 1

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

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:

18.0ms	x
11.0ms	(/.f64 1 (hypot.f64 1 x))
9.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
6.0ms	(hypot.f64 1 x)
4.0ms	(*.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 143 to 127 computations (11.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000009000141723	5.423202959157459

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes25.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	x
5.0ms	(hypot.f64 1 x)

Results

Error	Segments	Branch
0.7b	3	`x`
0.7b	2	`(hypot.f64 1 x)`

Compiler

Compiled 72 to 64 computations (11.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000001058822416

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes18.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 58 to 52 computations (10.3% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.0013416516518188085	4272502997283.437
16.0ms	-5.3302092206792615	-0.00046017876368571135

Results

31.0ms

288×

body

256

valid

Compiler

Compiled 323 to 285 computations (11.8% saved)

regimes13.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

11.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 30 to 27 computations (10% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.0013416516518188085	4272502997283.437
16.0ms	-5.3302092206792615	-0.00046017876368571135

Results

32.0ms

288×

body

256

valid

Compiler

Compiled 283 to 255 computations (9.9% saved)

regimes11.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.2b	3	`x`

Compiler

Compiled 22 to 20 computations (9.1% saved)

bsearch79.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.0013416516518188085	4272502997283.437
59.0ms	-5.3302092206792615	-0.00046017876368571135

Results

75.0ms

288×

body

256

valid

Compiler

Compiled 251 to 231 computations (8% saved)

regimes9.0ms (0.1%)

Accuracy

Total -47.2b remaining (-320%)

Threshold costs -47.2b (-320%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
14.7b	3	`x`

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch139.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	8.715575710335696e-80	1.2964643794522185e-74
99.0ms	-2.0912232154374042e-57	-7.645891873640257e-79

Results

131.0ms	304×	body	1024	valid
3.0ms	16×	body	512	valid

Compiler

Compiled 257 to 255 computations (0.8% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	472

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.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) 2) (+.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) 1) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 5404319552844595/4503599627370496) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 3/2) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -3/2) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 3/2) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 (sqrt.f64 1)) (-.f64 1 (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))

Outputs
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.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) 2) (+.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) 1) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 5404319552844595/4503599627370496) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 3/2) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -3/2) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 3/2) (*.f64 1/8 (pow.f64 x 2)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 (sqrt.f64 1)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 5736293309357913/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) 0 (-.f64 1 (sqrt.f64 1/2))))
(-.f64 1 (sqrt.f64 1/2))

Compiler

Compiled 185 to 159 computations (14.1% saved)

soundness299.0ms (3.3%)

Algorithm

2×	egg-herbie

Rules

1370×	`rational.json-simplify-59`
1370×	`rational.json-simplify-59`
1260×	`rational.json-simplify-35`
1260×	`rational.json-simplify-35`
1122×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	5577
1	816	5577
2	2250	5319
3	4958	5319
0	355	5577
1	816	5577
2	2250	5319
3	4958	5319

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 394 to 348 computations (11.7% saved)

end206.0ms (2.3%)

Compiler: Compiled 178 to 152 computations (14.6% saved)

Details

analyze0.0ms (0%)

sample1.7s (18.9%)

preprocess701.0ms (7.8%)

simplify702.0ms (7.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.2%)

series4.0ms (0%)

rewrite84.0ms (0.9%)

simplify117.0ms (1.3%)

eval330.0ms (3.7%)

prune74.0ms (0.8%)

localize15.0ms (0.2%)

series3.0ms (0%)

rewrite85.0ms (0.9%)

simplify182.0ms (2%)

localize4.0ms (0%)

series0.0ms (0%)

rewrite97.0ms (1.1%)

simplify334.0ms (3.7%)

localize7.0ms (0.1%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite67.0ms (0.7%)

simplify372.0ms (4.2%)

localize15.0ms (0.2%)

series1.0ms (0%)

rewrite102.0ms (1.1%)

simplify345.0ms (3.8%)

eval180.0ms (2%)

prune173.0ms (1.9%)

localize12.0ms (0.1%)

series2.0ms (0%)

rewrite66.0ms (0.7%)

simplify185.0ms (2.1%)

localize4.0ms (0%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite88.0ms (1%)

simplify639.0ms (7.1%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite80.0ms (0.9%)

simplify147.0ms (1.6%)

localize32.0ms (0.4%)

series2.0ms (0%)

rewrite118.0ms (1.3%)

simplify257.0ms (2.9%)

eval160.0ms (1.8%)

prune31.0ms (0.3%)

localize27.0ms (0.3%)

series3.0ms (0%)

rewrite110.0ms (1.2%)

simplify218.0ms (2.4%)

eval25.0ms (0.3%)

prune11.0ms (0.1%)

regimes57.0ms (0.6%)

bsearch0.0ms (0%)

regimes59.0ms (0.7%)

bsearch0.0ms (0%)

regimes25.0ms (0.3%)

bsearch0.0ms (0%)

regimes18.0ms (0.2%)

bsearch36.0ms (0.4%)

regimes13.0ms (0.1%)

bsearch36.0ms (0.4%)

regimes11.0ms (0.1%)

bsearch79.0ms (0.9%)

regimes9.0ms (0.1%)

bsearch139.0ms (1.6%)

simplify7.0ms (0.1%)

soundness299.0ms (3.3%)

end206.0ms (2.3%)

Profiling