Details

analyze20.8s (43.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.2%	99.8%	0%	0%	0%	0
0%	0%	0.2%	99.8%	0%	0%	0%	1
0%	0%	0.2%	99.8%	0%	0%	0%	2
0%	0%	0.2%	99.8%	0%	0%	0%	3
0%	0%	0.2%	99.8%	0%	0%	0%	4
6.2%	0%	0.2%	99.8%	0%	0%	0%	5
6.2%	0%	0.2%	99.8%	0%	0%	0%	6
9.4%	0%	0.2%	99.8%	0%	0%	0%	7
10.9%	0%	0.2%	99.8%	0%	0%	0%	8
10.9%	0%	0.2%	99.8%	0%	0%	0%	9
10.9%	0%	0.2%	99.8%	0%	0%	0%	10
11.7%	0%	0.2%	99.8%	0%	0%	0%	11
12.1%	0%	0.2%	99.8%	0%	0%	0%	12

Compiler

Compiled 72 to 53 computations (26.4% saved)

sample6.3s (13.1%)

Results

4.5s	4685×	body	1024	valid
920.0ms	1452×	body	512	valid
418.0ms	1880×	body	256	valid
396.0ms	239×	body	2048	valid

Bogosity

preprocess1.7s (3.7%)

Algorithm

2×	egg-herbie

Rules

5436×	`rational.json-simplify-1`
5276×	`rational.json-simplify-41`
2574×	`trig.json-simplify-17`
18×	`trig.json-simplify-18`
2×	`swap-y-z`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	189
1	68	189
2	105	189
3	162	189
4	247	189
5	361	189
6	503	189
7	577	189
8	604	189
9	631	189
10	658	189
11	685	189
12	934	189
13	1043	189
14	1070	189
15	1097	189
16	1124	189
17	1151	189
18	1178	189
19	1205	189
20	1232	189
21	1259	189
22	1277	189
23	1813	189
24	1840	189
25	1858	189
26	1876	189
27	2174	189
28	2201	189
29	2228	189
30	2255	189
31	2282	189
32	2309	189
33	2336	189
34	2363	189
35	2390	189
36	2417	189
37	2444	189
38	2462	189
39	2480	189
40	2498	189
41	2516	189
42	2534	189
43	2552	189
44	2570	189
45	2588	189
46	2606	189
47	2624	189
48	2741	189
49	2768	189
50	2795	189
51	2822	189
52	2849	189
53	2876	189
54	2903	189
55	2930	189
56	2957	189
57	2984	189
58	3011	189
59	3038	189
60	3065	189
61	3092	189
62	3119	189
63	3146	189
64	3173	189
65	3200	189
66	3227	189
67	3254	189
68	3281	189
69	3308	189
70	3335	189
71	3362	189
72	3389	189
73	3416	189
74	3443	189
75	3470	189
76	3497	189
77	3524	189
78	3551	189
79	3578	189
80	3605	189
81	3632	189
82	3659	189
83	3686	189
84	5459	189
85	5477	189
86	5495	189
87	5513	189
88	5531	189
89	5549	189
90	5567	189
91	5585	189
92	5603	189
93	5621	189
94	5639	189
95	5657	189
96	5675	189
97	5693	189
98	5711	189
99	5729	189
100	5747	189
101	5765	189
102	5783	189
103	5801	189
104	5819	189
105	6992	189
106	7019	189
107	7046	189
108	7073	189
109	7100	189
110	7127	189
111	7154	189
112	7163	189
113	7163	189
114	7181	189
115	7208	189
116	7235	189
117	7262	189
118	7289	189
119	7316	189
120	7343	189
121	7370	189
122	7397	189
123	7424	189
124	7451	189
125	7478	189
126	7505	189
127	7532	189
128	7559	189
129	7586	189
130	7613	189
131	7640	189
132	7667	189
133	7694	189
134	7721	189
135	7748	189
136	7775	189
137	7802	189
138	7829	189
139	7856	189
140	7883	189
141	7910	189
142	7937	189
143	7964	189
144	7991	189
0	4	4
1	4	4

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
1
3

Call 2

Inputs
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
(+.f64 y (-.f64 (tan.f64 (+.f64 x z)) (tan.f64 a)))
(+.f64 z (-.f64 (tan.f64 (+.f64 y x)) (tan.f64 a)))
(+.f64 a (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 x)))
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(+.f64 x (-.f64 (tan.f64 (+.f64 a z)) (tan.f64 y)))
(+.f64 x (-.f64 (tan.f64 (+.f64 y a)) (tan.f64 z)))

Outputs
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
(+.f64 y (-.f64 (tan.f64 (+.f64 x z)) (tan.f64 a)))
(+.f64 z (-.f64 (tan.f64 (+.f64 y x)) (tan.f64 a)))
(+.f64 z (-.f64 (tan.f64 (+.f64 x y)) (tan.f64 a)))
(+.f64 a (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 x)))
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
(+.f64 x (-.f64 (tan.f64 (+.f64 a z)) (tan.f64 y)))
(+.f64 x (-.f64 (tan.f64 (+.f64 z a)) (tan.f64 y)))
(+.f64 x (-.f64 (tan.f64 (+.f64 y a)) (tan.f64 z)))

Symmetry

(sort y z)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify5.9s (12.2%)

Algorithm

1×	egg-herbie

Rules

12918×	`rational.json-simplify-41`
3946×	`rational.json-simplify-1`
1316×	`trig.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	20	27
2	30	27
3	47	27
4	70	27
5	102	27
6	148	27
7	214	27
8	292	27
9	390	27
10	419	27
11	425	27
12	431	27
13	437	27
14	443	27
15	627	27
16	686	27
17	692	27
18	698	27
19	704	27
20	710	27
21	716	27
22	722	27
23	728	27
24	734	27
25	740	27
26	1000	27
27	1462	27
28	1466	27
29	1470	27
30	1474	27
31	1478	27
32	1482	27
33	1670	27
34	1676	27
35	1682	27
36	1688	27
37	1694	27
38	1700	27
39	1706	27
40	1712	27
41	1718	27
42	1724	27
43	1730	27
44	1736	27
45	1742	27
46	1748	27
47	1754	27
48	1760	27
49	1766	27
50	1772	27
51	1778	27
52	1784	27
53	1790	27
54	1796	27
55	1802	27
56	1808	27
57	1814	27
58	1820	27
59	1826	27
60	1832	27
61	1838	27
62	1844	27
63	1850	27
64	1856	27
65	1862	27
66	1868	27
67	1874	27
68	1880	27
69	1886	27
70	1892	27
71	1898	27
72	1904	27
73	1910	27
74	1916	27
75	1922	27
76	1928	27
77	1934	27
78	1940	27
79	1946	27
80	1952	27
81	1958	27
82	1964	27
83	1970	27
84	1976	27
85	1982	27
86	1988	27
87	1994	27
88	2996	27
89	4548	27
90	4552	27
91	4556	27
92	4560	27
93	4564	27
94	4568	27
95	4572	27
96	4576	27
97	4580	27
98	4584	27
99	5379	27
100	5385	27
101	5391	27
102	5397	27
103	5403	27
104	5409	27
105	5415	27
106	5421	27
107	5427	27
108	5433	27
109	5439	27
110	5445	27
111	5451	27
112	5457	27
113	5463	27
114	5469	27
115	5475	27
116	5481	27
117	5487	27
118	5493	27
119	5499	27
120	5505	27
121	5511	27
122	5517	27
123	5523	27
124	5529	27
125	5535	27
126	5541	27
127	5547	27
128	5553	27
129	5559	27
130	5565	27
131	5571	27
132	5577	27
133	5583	27
134	5589	27
135	5595	27
136	5601	27
137	5607	27
138	5613	27
139	5619	27
140	5625	27
141	5631	27
142	5637	27
143	5643	27
144	5649	27
145	5655	27
146	5661	27
147	5667	27
148	5673	27
149	5679	27
150	5685	27
151	5691	27
152	5697	27
153	5703	27
154	5709	27
155	5715	27
156	5721	27
157	5727	27
158	5733	27
159	5739	27
160	5745	27
161	5751	27
162	5757	27
163	5763	27
164	5769	27
165	5775	27
166	5781	27
167	5787	27
168	5793	27
169	5799	27
170	5805	27
171	5811	27
172	5817	27
173	5823	27
174	5829	27
175	5835	27
176	5841	27
177	5847	27
178	5853	27
179	5859	27
180	5865	27
181	5871	27
182	5877	27
183	5883	27
184	5889	27
185	5895	27
186	5901	27
187	5907	27
188	5913	27
189	5919	27
190	5925	27
191	5931	27
192	5937	27
193	5943	27
194	5949	27
195	5955	27
196	5961	27
197	5967	27
198	5973	27
199	5979	27
200	5985	27
201	5991	27
202	5997	27
203	6003	27
204	6009	27
205	6015	27
206	6021	27
207	6027	27
208	6033	27
209	6039	27
210	6045	27
211	6051	27
212	6057	27
213	6063	27
214	6069	27
215	6075	27
216	6081	27
217	6087	27
218	6093	27
219	6099	27
220	6105	27
221	6111	27
222	6117	27
223	6123	27
224	6129	27
225	6135	27
226	6141	27
227	6147	27
228	6153	27
229	6159	27
230	6165	27
231	6171	27
232	6177	27
233	6183	27
234	6189	27
235	6195	27
236	6201	27
237	6207	27
238	6213	27
239	6219	27
240	6225	27
241	6231	27
242	6237	27
243	6243	27
244	6249	27
245	6255	27
246	6261	27
247	6267	27
248	6273	27
249	6279	27
250	6285	27
251	6291	27
252	6297	27
253	6303	27
254	6309	27
255	6315	27
256	6321	27
257	6327	27
258	6331	27
259	6335	27
260	6339	27
261	6343	27
262	6347	27
263	6351	27
264	6355	27
265	6359	27
266	6363	27
267	6367	27
268	6371	27
269	6375	27
270	6379	27
271	6383	27
272	6387	27
273	6391	27
274	6395	27
275	6399	27
276	6403	27
277	6407	27
278	6453	27
279	6459	27
280	6465	27
281	6471	27
282	6477	27
283	6483	27
284	6489	27
285	6495	27
286	6501	27
287	6507	27
288	6513	27
289	6519	27
290	6525	27
291	6531	27
292	6537	27
293	6543	27
294	6549	27
295	6555	27
296	6561	27
297	6567	27
298	6573	27
299	6579	27
300	6585	27
301	6591	27
302	6597	27
303	6603	27
304	6609	27
305	6615	27
306	6621	27
307	6627	27
308	6633	27
309	6639	27
310	6645	27
311	6651	27
312	6657	27
313	6663	27
314	6669	27
315	6675	27
316	6681	27
317	6687	27
318	6693	27
319	6699	27
320	6705	27
321	6711	27
322	6717	27
323	6723	27
324	6729	27
325	6735	27
326	6741	27
327	6747	27
328	6753	27
329	6759	27

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))

Outputs
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% 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

12.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.5b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
✓	0.1b	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
✓	3.5b	(tan.f64 (+.f64 y z))

Compiler

Compiled 33 to 9 computations (72.7% saved)

series16.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
2.0ms	y	@	inf	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
1.0ms	a	@	0	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
1.0ms	a	@	inf	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
1.0ms	z	@	0	(tan.f64 (+.f64 y z))

rewrite130.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`rational.json-1`
1496×	`exponential.json-3`
1496×	`rational.json-2`
1496×	`rational.json-4`
1496×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	82	59
2	190	59
3	410	59
4	829	59
5	2031	59
6	4385	59
7	6388	59
8	7944	59

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs
(tan.f64 (+.f64 y z))
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))

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

Outputs

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

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

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

simplify365.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2020×	`rational.json-simplify-35`
1436×	`rational.json-simplify-51`
1068×	`rational.json-simplify-48`
912×	`rational.json-simplify-45`
820×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	289	9549
1	678	9197
2	1538	8693
3	3003	8573
4	4769	8573
5	5924	8573
6	7106	8573

Stop Event

1×	node limit

Counts

189 → 242

Calls

Call 1

Inputs
(/.f64 (sin.f64 z) (cos.f64 z))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (/.f64 (sin.f64 z) (cos.f64 z)))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (*.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (/.f64 (sin.f64 z) (cos.f64 z))))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (pow.f64 (sin.f64 z) 2)) (pow.f64 (cos.f64 z) 2))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))) (/.f64 (sin.f64 z) (cos.f64 z)))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y))))
(/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y))))
(/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y))))
(/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y))))
(/.f64 (sin.f64 y) (cos.f64 y))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z)))
(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 z 2) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))))) (pow.f64 z 3))))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (/.f64 (sin.f64 z) (cos.f64 z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (*.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (/.f64 (sin.f64 z) (cos.f64 z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (pow.f64 (sin.f64 z) 2)) (pow.f64 (cos.f64 z) 2))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))) (/.f64 (sin.f64 z) (cos.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z)) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 z 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 z 2) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))))) (pow.f64 z 3)))))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (*.f64 -1 a))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (.f64 -1 a)))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (*.f64 -1 a))))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
x
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
x
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x)) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (*.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (pow.f64 (sin.f64 z) 2)) (pow.f64 (cos.f64 z) 2))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) x)) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 z 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) x))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 z 2) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))))) (pow.f64 z 3))) x)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (*.f64 -1 a) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (.f64 -1 a) x)))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (*.f64 -1 a) x))))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (tan.f64 (+.f64 y z)) 0)
(+.f64 0 (tan.f64 (+.f64 y z)))
(+.f64 (.f64 (tan.f64 (+.f64 y z)) 1/2) (.f64 (tan.f64 (+.f64 y z)) 1/2))
(-.f64 (tan.f64 (+.f64 y z)) 0)
(*.f64 (tan.f64 (+.f64 y z)) 1)
(*.f64 1 (tan.f64 (+.f64 y z)))
(.f64 2 (.f64 (tan.f64 (+.f64 y z)) 1/2))
(.f64 (.f64 (tan.f64 (+.f64 y z)) 2) 1/2)
(*.f64 4 (/.f64 (tan.f64 (+.f64 y z)) 4))
(.f64 (.f64 (tan.f64 (+.f64 y z)) 4) 1/4)
(.f64 1/2 (.f64 (tan.f64 (+.f64 y z)) 2))
(.f64 (.f64 (tan.f64 (+.f64 y z)) 1/2) 2)
(.f64 1/4 (.f64 (tan.f64 (+.f64 y z)) 4))
(*.f64 (/.f64 (tan.f64 (+.f64 y z)) 4) 4)
(/.f64 (tan.f64 (+.f64 y z)) 1)
(/.f64 (*.f64 (tan.f64 (+.f64 y z)) 2) 2)
(/.f64 (*.f64 (tan.f64 (+.f64 y z)) 4) 4)
(/.f64 (*.f64 (tan.f64 (+.f64 y z)) 8) 8)
(/.f64 (.f64 2 (.f64 (tan.f64 (+.f64 y z)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (tan.f64 (+.f64 y z)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (tan.f64 (+.f64 y z)) 8)))) 64)
(pow.f64 (tan.f64 (+.f64 y z)) 1)
(+.f64 (tan.f64 (+.f64 y z)) (neg.f64 (tan.f64 a)))
(+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 0)
(+.f64 0 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
(+.f64 1 (-.f64 (tan.f64 (+.f64 y z)) (+.f64 1 (tan.f64 a))))
(+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))
(+.f64 -1 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))))
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) -1)
(+.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2) (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2))
(+.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2)))
(*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1)
(*.f64 1 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
(.f64 2 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2))
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 2) 1/2)
(*.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) -1)
(*.f64 4 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4))
(*.f64 4 (-.f64 (/.f64 (tan.f64 (+.f64 y z)) 4) (/.f64 (tan.f64 a) 4)))
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 2))
(*.f64 -1 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))))
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4))
(*.f64 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4) 4)
(/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1)
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 2) 2)
(/.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) -1)
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4) 4)
(/.f64 (*.f64 2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))) -2)
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 8) 8)
(/.f64 (*.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 8)) 16)
(/.f64 (.f64 2 (.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 8)))) 64)
(pow.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1)
(neg.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))))
(-.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 0)
(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))) 1)
(*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1)
(*.f64 1 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x))
(.f64 2 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1/2))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2)))
(.f64 2 (+.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2) (*.f64 x 1/2)))
(.f64 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4))
(.f64 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 2))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 2)))
(.f64 1/2 (+.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 2) (+.f64 x x)))
(.f64 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4))
(*.f64 (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4) 4)
(/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1)
(/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 2) 2)
(/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4) 4)
(/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 8)))) 64)
(pow.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1)

Outputs
(/.f64 (sin.f64 z) (cos.f64 z))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (/.f64 (sin.f64 z) (cos.f64 z)))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) y))
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(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (tan.f64 (+.f64 y z)) 0)
(tan.f64 (+.f64 z y))
(+.f64 0 (tan.f64 (+.f64 y z)))
(tan.f64 (+.f64 z y))
(+.f64 (.f64 (tan.f64 (+.f64 y z)) 1/2) (.f64 (tan.f64 (+.f64 y z)) 1/2))
(tan.f64 (+.f64 z y))
(-.f64 (tan.f64 (+.f64 y z)) 0)
(tan.f64 (+.f64 z y))
(*.f64 (tan.f64 (+.f64 y z)) 1)
(tan.f64 (+.f64 z y))
(*.f64 1 (tan.f64 (+.f64 y z)))
(tan.f64 (+.f64 z y))
(.f64 2 (.f64 (tan.f64 (+.f64 y z)) 1/2))
(tan.f64 (+.f64 z y))
(.f64 (.f64 (tan.f64 (+.f64 y z)) 2) 1/2)
(tan.f64 (+.f64 z y))
(*.f64 4 (/.f64 (tan.f64 (+.f64 y z)) 4))
(tan.f64 (+.f64 z y))
(.f64 (.f64 (tan.f64 (+.f64 y z)) 4) 1/4)
(tan.f64 (+.f64 z y))
(.f64 1/2 (.f64 (tan.f64 (+.f64 y z)) 2))
(tan.f64 (+.f64 z y))
(.f64 (.f64 (tan.f64 (+.f64 y z)) 1/2) 2)
(tan.f64 (+.f64 z y))
(.f64 1/4 (.f64 (tan.f64 (+.f64 y z)) 4))
(tan.f64 (+.f64 z y))
(*.f64 (/.f64 (tan.f64 (+.f64 y z)) 4) 4)
(tan.f64 (+.f64 z y))
(/.f64 (tan.f64 (+.f64 y z)) 1)
(tan.f64 (+.f64 z y))
(/.f64 (*.f64 (tan.f64 (+.f64 y z)) 2) 2)
(tan.f64 (+.f64 z y))
(/.f64 (*.f64 (tan.f64 (+.f64 y z)) 4) 4)
(tan.f64 (+.f64 z y))
(/.f64 (*.f64 (tan.f64 (+.f64 y z)) 8) 8)
(tan.f64 (+.f64 z y))
(/.f64 (.f64 2 (.f64 (tan.f64 (+.f64 y z)) 8)) 16)
(tan.f64 (+.f64 z y))
(/.f64 (.f64 2 (.f64 2 (*.f64 (tan.f64 (+.f64 y z)) 8))) 32)
(tan.f64 (+.f64 z y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (tan.f64 (+.f64 y z)) 8)))) 64)
(tan.f64 (+.f64 z y))
(pow.f64 (tan.f64 (+.f64 y z)) 1)
(tan.f64 (+.f64 z y))
(+.f64 (tan.f64 (+.f64 y z)) (neg.f64 (tan.f64 a)))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 0)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(+.f64 0 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(+.f64 1 (-.f64 (tan.f64 (+.f64 y z)) (+.f64 1 (tan.f64 a))))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(+.f64 -1 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) -1)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(+.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2) (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(+.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2)))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(*.f64 1 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(.f64 2 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 2) 1/2)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(*.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) -1)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(*.f64 4 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(*.f64 4 (-.f64 (/.f64 (tan.f64 (+.f64 y z)) 4) (/.f64 (tan.f64 a) 4)))
(*.f64 4 (-.f64 (/.f64 (tan.f64 (+.f64 z y)) 4) (/.f64 (tan.f64 a) 4)))
(.f64 4 (-.f64 (.f64 (tan.f64 (+.f64 z y)) 1/4) (/.f64 (tan.f64 a) 4)))
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4) 1/4)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(.f64 1/2 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 2))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(*.f64 -1 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2) 2)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(.f64 1/4 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(*.f64 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4) 4)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 2) 2)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(/.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) -1)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4) 4)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(/.f64 (*.f64 2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))) -2)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 8) 8)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(/.f64 (*.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) 4) -4)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(/.f64 (.f64 2 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 8)) 16)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(/.f64 (.f64 2 (.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) 4)) -8)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 8))) 32)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 8)))) 64)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(pow.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1)
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(neg.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))))
(+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a)))
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))
(-.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 0)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))) 1)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(*.f64 1 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x))
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(.f64 2 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1/2))
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2)))
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(.f64 2 (+.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2) (*.f64 x 1/2)))
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(.f64 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 2) 1/2)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(*.f64 4 (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4))
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(.f64 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4) 1/4)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(.f64 1/2 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 2))
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 2)))
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(.f64 1/2 (+.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 2) (+.f64 x x)))
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(.f64 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1/2) 2)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(.f64 1/4 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4))
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(*.f64 (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4) 4)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 2) 2)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4) 4)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 8) 8)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 8)) 16)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 8))) 32)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 8)))) 64)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))
(pow.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1)
(+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))

eval311.0ms (0.6%)

Compiler: Compiled 8382 to 4317 computations (48.5% saved)

prune153.0ms (0.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	225	17	242
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	225	18	243

Error

11.3b

Counts

243 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	12.6b	(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))) 1)
▶	29.8b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x)
	24.9b	(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
	31.2b	(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) y) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))))
▶	25.4b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
▶	31.8b	(+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y))) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 (+.f64 (*.f64 z (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) x) (/.f64 (sin.f64 a) (cos.f64 a)))))
	24.9b	(+.f64 x (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (tan.f64 a)))
	25.4b	(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (tan.f64 a)))
	31.5b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z)))) (.f64 (pow.f64 y 3) (neg.f64 (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) -1/2) (+.f64 (.f64 (pow.f64 (sin.f64 z) 2) (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (pow.f64 (cos.f64 z) 2)))) (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) 1/6)))))))) (tan.f64 a)))
	31.4b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))))) (tan.f64 a)))
	31.2b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) y)) (tan.f64 a)))
	32.1b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (+.f64 1/6 (+.f64 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1)) (+.f64 (neg.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))) (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))) (neg.f64 (pow.f64 z 3))) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y)))))) (tan.f64 a)))
	31.8b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y))))) (tan.f64 a)))
	31.2b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))) (tan.f64 a)))
✓	12.5b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
▶	31.2b	(+.f64 x (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1)) (/.f64 (sin.f64 a) (cos.f64 a)))))
▶	12.6b	(+.f64 x (+.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2))))
	43.6b	x

Compiler

Compiled 1114 to 751 computations (32.6% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 x (+.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2))))
✓	0.3b	(-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2))
✓	2.4b	(+.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2)))
	3.5b	(tan.f64 (+.f64 y z))

Compiler

Compiled 56 to 25 computations (55.4% saved)

series80.0ms (0.2%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Expression
75.0ms	a	@	(-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2))
0.0ms	y	@	(-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2))
0.0ms	z	@	(-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2))
0.0ms	y	@	(+.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2)))
0.0ms	y	@	(+.f64 x (+.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2))))

rewrite111.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1548×	`exponential.json-3`
1548×	`rational.json-1`
1548×	`rational.json-2`
1548×	`rational.json-4`
1548×	`rational.json-3`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	16	99
1	111	99
2	246	99
3	525	99
4	1130	99
5	2382	99
6	4428	99
7	6841	75

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs
(+.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2)))
(-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2))
(+.f64 x (+.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2))))

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

Outputs

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

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

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

simplify414.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1614×	`rational.json-simplify-35`
1354×	`rational.json-simplify-48`
1102×	`rational.json-simplify-2`
932×	`rational.json-simplify-41`
760×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	366	12012
1	840	11802
2	1879	11298
3	3976	10932
4	5088	10932
5	6678	10932
6	7393	10932

Stop Event

1×	node limit

Counts

224 → 291

Calls

Call 1

Inputs
(-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (/.f64 (sin.f64 z) (cos.f64 z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (*.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (/.f64 (sin.f64 z) (cos.f64 z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
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(-.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 z 2) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))))) (pow.f64 z 3))) x)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (*.f64 -1 a) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (.f64 -1 a) x)))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (*.f64 -1 a) x))))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
(-.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 0)
(-.f64 0 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))))
(-.f64 1 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z)))))
(-.f64 (+.f64 1 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) 1)
(.f64 2 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2))
(*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1)
(*.f64 1 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
(*.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) -1)
(*.f64 4 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4))
(*.f64 4 (-.f64 (/.f64 (tan.f64 (+.f64 y z)) 4) (/.f64 (tan.f64 a) 4)))
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4) 1/4)
(.f64 1/2 (.f64 2 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))))
(*.f64 -1 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))))
(.f64 (.f64 2 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) 1/2)
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4))
(.f64 1/4 (-.f64 (.f64 (tan.f64 (+.f64 y z)) 4) (*.f64 (tan.f64 a) 4)))
(*.f64 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4) 4)
(/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1)
(/.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) -1)
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 4) 4)
(/.f64 (*.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) -2)
(/.f64 (*.f64 2 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) 2)
(/.f64 (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 8) 8)
(/.f64 (*.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 8)) 16)
(/.f64 (.f64 2 (.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) 4))) -16)
(/.f64 (neg.f64 (*.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) 4)) 4)
(/.f64 (neg.f64 (.f64 2 (.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) 4)) (neg.f64 (.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) 4))) 8)
(/.f64 (+.f64 (neg.f64 (.f64 2 (.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) 4))) (neg.f64 (.f64 2 (.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))) 4)))) 16)
(pow.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1)
(neg.f64 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))))
(+.f64 -2 (-.f64 4 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))))
(+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a)))
(+.f64 2 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 0)
(+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 2)
(+.f64 0 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))))
(+.f64 1 (+.f64 1 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))))
(+.f64 (tan.f64 (neg.f64 a)) (+.f64 (tan.f64 (+.f64 y z)) 2))
(+.f64 (-.f64 2 (tan.f64 a)) (tan.f64 (+.f64 y z)))
(+.f64 -1 (-.f64 (-.f64 (tan.f64 (+.f64 y z)) -3) (tan.f64 a)))
(+.f64 (-.f64 (-.f64 (tan.f64 (+.f64 y z)) -3) (tan.f64 a)) -1)
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) 2) (tan.f64 (neg.f64 a)))
(+.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 1/2) (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 1/2))
(+.f64 (+.f64 1 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) 1)
(+.f64 (-.f64 -1 (.f64 1/2 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))))) (-.f64 1 (.f64 1/2 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))))))
(.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 1/2))
(*.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 1)
(*.f64 1 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))))
(.f64 (.f64 -2 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))))) 1/2)
(*.f64 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))) -1)
(*.f64 4 (/.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 4))
(*.f64 4 (-.f64 (/.f64 (tan.f64 (+.f64 y z)) 4) (/.f64 (+.f64 -2 (tan.f64 a)) 4)))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 4) 1/4)
(.f64 1/2 (.f64 -2 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))))))
(*.f64 -1 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 4))
(.f64 1/4 (-.f64 (.f64 (tan.f64 (+.f64 y z)) 4) (*.f64 (+.f64 -2 (tan.f64 a)) 4)))
(*.f64 (/.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 4) 4)
(/.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 1)
(/.f64 (*.f64 -2 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))))) 2)
(/.f64 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))) -1)
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 4) 4)
(/.f64 (*.f64 2 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z))))) -2)
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 8) 8)
(/.f64 (*.f64 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))) 4) -4)
(/.f64 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 8)) 16)
(/.f64 (.f64 2 (.f64 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 8))) 32)
(/.f64 (neg.f64 (*.f64 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))) 4)) (neg.f64 (.f64 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))) 4))) 8)
(pow.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 2 (tan.f64 a))) 1)
(neg.f64 (+.f64 -2 (-.f64 (tan.f64 a) (tan.f64 (+.f64 y z)))))
(-.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 0)
(.f64 2 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1/2))
(.f64 2 (+.f64 (/.f64 x 2) (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2)))
(.f64 2 (+.f64 (.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 1/2) (/.f64 x 2)))
(*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1)
(*.f64 1 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x))
(.f64 (.f64 2 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x)) 1/2)
(*.f64 4 (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4))
(.f64 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x)))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 2 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))
(.f64 1/2 (+.f64 (.f64 2 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (+.f64 x x)))
(.f64 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4))
(*.f64 (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4) 4)
(/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1)
(/.f64 (*.f64 2 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x)) 2)
(/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 4) 4)
(/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 8)))) 64)
(pow.f64 (+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) 1)

Outputs
(-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (/.f64 (sin.f64 z) (cos.f64 z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) y) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))) y) (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (*.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (/.f64 (sin.f64 z) (cos.f64 z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (/.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (cos.f64 z)))) (-.f64 (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y)) (-.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (/.f64 (*.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (+.f64 y (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z)))) (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z)))) (/.f64 (sin.f64 a) (cos.f64 a))))
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localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x)
✓	0.3b	(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))
✓	3.6b	(sin.f64 (+.f64 z y))
✓	3.6b	(cos.f64 (+.f64 z y))

Compiler

Compiled 38 to 9 computations (76.3% saved)

series4.0ms (0%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Expression
0.0ms	y	@	(sin.f64 (+.f64 z y))
0.0ms	z	@	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x)
0.0ms	y	@	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x)
0.0ms	z	@	(cos.f64 (+.f64 z y))
0.0ms	y	@	(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))

rewrite101.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`rational.json-1`
1646×	`rational.json-2`
1646×	`rational.json-4`
1646×	`rational.json-3`
1638×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	82
1	79	82
2	200	82
3	493	82
4	1272	82
5	4492	82

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

Inputs
(cos.f64 (+.f64 z y))
(sin.f64 (+.f64 z y))
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x)

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

simplify213.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1382×	`rational.json-simplify-39`
1010×	`rational.json-simplify-1`
782×	`rational.json-simplify-53`
688×	`rational.json-simplify-51`
678×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	398	9281
1	917	9089
2	3727	8373
3	6503	8373

Stop Event

1×	node limit

Counts

271 → 293

Calls

Call 1

Inputs
(cos.f64 y)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (cos.f64 y))) (cos.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 1/6 (.f64 (pow.f64 z 3) (sin.f64 y))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (cos.f64 y))) (cos.f64 y))))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 z)
(+.f64 (cos.f64 z) (.f64 -1 (.f64 (sin.f64 z) y)))
(+.f64 (cos.f64 z) (+.f64 (.f64 -1 (.f64 (sin.f64 z) y)) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 z)))))
(+.f64 (cos.f64 z) (+.f64 (.f64 -1 (.f64 (sin.f64 z) y)) (+.f64 (.f64 1/6 (.f64 (sin.f64 z) (pow.f64 y 3))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 z))))))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (sin.f64 y))) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (sin.f64 y))) (+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 -1/6 (*.f64 (pow.f64 z 3) (cos.f64 y))) (sin.f64 y))))
(sin.f64 (+.f64 y z))
(sin.f64 (+.f64 y z))
(sin.f64 (+.f64 y z))
(sin.f64 (+.f64 y z))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 z)
(+.f64 (sin.f64 z) (*.f64 y (cos.f64 z)))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 z) (pow.f64 y 2))) (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (cos.f64 z))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 z) (pow.f64 y 2))) (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z)))))
(sin.f64 (+.f64 y z))
(sin.f64 (+.f64 y z))
(sin.f64 (+.f64 y z))
(sin.f64 (+.f64 y z))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(/.f64 (sin.f64 y) (cos.f64 y))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z)))
(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 z 2) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))))) (pow.f64 z 3))))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 z) (cos.f64 z))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (/.f64 (sin.f64 z) (cos.f64 z)))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (*.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (/.f64 (sin.f64 z) (cos.f64 z))))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (pow.f64 (sin.f64 z) 2)) (pow.f64 (cos.f64 z) 2))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))) (/.f64 (sin.f64 z) (cos.f64 z)))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y))))
(/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y))))
(/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y))))
(/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) x))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) x)))
(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 z 2) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))))) (pow.f64 z 3))) x))))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x)
(+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x)
(+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x)
(+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x)
(+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x)
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x)
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(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 4) 4)
(.f64 (+.f64 (.f64 (sin.f64 (+.f64 z y)) (/.f64 2 (cos.f64 (+.f64 z y)))) (+.f64 x x)) 1/2)
(/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 1)
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 2) 2)
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 4)) (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 4))) 16)
(pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 1)

Outputs
(cos.f64 y)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (cos.f64 y) (.f64 -1 (.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (cos.f64 y))) (cos.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) (.f64 -1/2 (.f64 (cos.f64 y) (pow.f64 z 2)))))
(+.f64 (cos.f64 y) (+.f64 (.f64 (cos.f64 y) (.f64 -1/2 (pow.f64 z 2))) (*.f64 (sin.f64 y) (neg.f64 z))))
(+.f64 (cos.f64 y) (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (cos.f64 y) (*.f64 -1/2 (pow.f64 z 2)))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 1/6 (.f64 (pow.f64 z 3) (sin.f64 y))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (cos.f64 y))) (cos.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (+.f64 (cos.f64 y) (.f64 -1/2 (.f64 (cos.f64 y) (pow.f64 z 2)))) (.f64 1/6 (.f64 (sin.f64 y) (pow.f64 z 3)))))
(+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (+.f64 (cos.f64 y) (+.f64 (.f64 (sin.f64 y) (.f64 (pow.f64 z 3) 1/6)) (.f64 (cos.f64 y) (*.f64 -1/2 (pow.f64 z 2))))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 (.f64 (cos.f64 y) (.f64 -1/2 (pow.f64 z 2))) (.f64 (sin.f64 y) (.f64 (pow.f64 z 3) 1/6))) (*.f64 (sin.f64 y) (neg.f64 z))))
(+.f64 (cos.f64 y) (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (+.f64 (.f64 (cos.f64 y) (.f64 -1/2 (pow.f64 z 2))) (.f64 (sin.f64 y) (*.f64 (pow.f64 z 3) 1/6)))))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (neg.f64 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (neg.f64 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (neg.f64 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (neg.f64 z)))
(cos.f64 z)
(+.f64 (cos.f64 z) (.f64 -1 (.f64 (sin.f64 z) y)))
(+.f64 (cos.f64 z) (.f64 -1 (.f64 y (sin.f64 z))))
(+.f64 (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y)))
(+.f64 (cos.f64 z) (+.f64 (.f64 -1 (.f64 (sin.f64 z) y)) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 z)))))
(+.f64 (cos.f64 z) (+.f64 (.f64 -1 (.f64 y (sin.f64 z))) (.f64 -1/2 (.f64 (cos.f64 z) (pow.f64 y 2)))))
(+.f64 (cos.f64 z) (+.f64 (.f64 (sin.f64 z) (neg.f64 y)) (.f64 (cos.f64 z) (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (+.f64 (cos.f64 z) (.f64 (sin.f64 z) (neg.f64 y))) (.f64 (cos.f64 z) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 (cos.f64 z) (+.f64 (.f64 -1 (.f64 (sin.f64 z) y)) (+.f64 (.f64 1/6 (.f64 (sin.f64 z) (pow.f64 y 3))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 z))))))
(+.f64 (cos.f64 z) (+.f64 (.f64 -1 (.f64 y (sin.f64 z))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 z) (pow.f64 y 2))) (.f64 (sin.f64 z) (.f64 (pow.f64 y 3) 1/6)))))
(+.f64 (cos.f64 z) (+.f64 (.f64 (cos.f64 z) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 (sin.f64 z) (neg.f64 y)) (.f64 1/6 (*.f64 (sin.f64 z) (pow.f64 y 3))))))
(+.f64 (cos.f64 z) (+.f64 (.f64 (cos.f64 z) (.f64 -1/2 (pow.f64 y 2))) (.f64 (sin.f64 z) (+.f64 (.f64 1/6 (pow.f64 y 3)) (neg.f64 y)))))
(+.f64 (cos.f64 z) (+.f64 (.f64 (cos.f64 z) (.f64 -1/2 (pow.f64 y 2))) (.f64 (sin.f64 z) (+.f64 (neg.f64 y) (.f64 1/6 (pow.f64 y 3))))))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (neg.f64 z)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (neg.f64 z)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (neg.f64 z)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (neg.f64 z)))
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (sin.f64 y))) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) (.f64 (pow.f64 z 2) (*.f64 (sin.f64 y) -1/2))))
(+.f64 (sin.f64 y) (+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) (*.f64 -1/2 (pow.f64 z 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (sin.f64 y))) (+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 -1/6 (*.f64 (pow.f64 z 3) (cos.f64 y))) (sin.f64 y))))
(+.f64 (.f64 (pow.f64 z 2) (.f64 (sin.f64 y) -1/2)) (+.f64 (.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) (.f64 -1/6 (*.f64 (cos.f64 y) (pow.f64 z 3))))))
(+.f64 (.f64 (sin.f64 y) (.f64 -1/2 (pow.f64 z 2))) (+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) -1/6)) (*.f64 (cos.f64 y) z))))
(+.f64 (.f64 (sin.f64 y) (.f64 -1/2 (pow.f64 z 2))) (+.f64 (sin.f64 y) (.f64 (cos.f64 y) (+.f64 z (.f64 -1/6 (pow.f64 z 3))))))
(sin.f64 (+.f64 y z))
(sin.f64 (+.f64 y z))
(sin.f64 (+.f64 y z))
(sin.f64 (+.f64 y z))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (neg.f64 z)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (neg.f64 z)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (neg.f64 z)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (neg.f64 z)))
(sin.f64 z)
(+.f64 (sin.f64 z) (*.f64 y (cos.f64 z)))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 z) (pow.f64 y 2))) (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z))))
(+.f64 (sin.f64 z) (+.f64 (.f64 y (cos.f64 z)) (.f64 -1/2 (*.f64 (sin.f64 z) (pow.f64 y 2)))))
(+.f64 (sin.f64 z) (+.f64 (.f64 y (cos.f64 z)) (.f64 (sin.f64 z) (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (cos.f64 z))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 z) (pow.f64 y 2))) (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 z) (pow.f64 y 2))) (+.f64 (+.f64 (sin.f64 z) (.f64 y (cos.f64 z))) (.f64 (pow.f64 y 3) (*.f64 (cos.f64 z) -1/6))))
(+.f64 (sin.f64 z) (+.f64 (+.f64 (.f64 y (cos.f64 z)) (.f64 -1/2 (.f64 (sin.f64 z) (pow.f64 y 2)))) (.f64 (cos.f64 z) (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (.f64 (sin.f64 z) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (sin.f64 z) (+.f64 (.f64 y (cos.f64 z)) (.f64 (cos.f64 z) (*.f64 -1/6 (pow.f64 y 3))))))
(sin.f64 (+.f64 y z))
(sin.f64 (+.f64 y z))
(sin.f64 (+.f64 y z))
(sin.f64 (+.f64 y z))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (neg.f64 z)))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (neg.f64 z)))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (neg.f64 z)))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (neg.f64 z)))
(/.f64 (sin.f64 y) (cos.f64 y))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 z (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (*.f64 z (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z)))
(+.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 z (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))) (.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (/.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y))))
(+.f64 (.f64 z (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) (+.f64 (.f64 (*.f64 (sin.f64 y) (pow.f64 z 2)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y))) (/.f64 (sin.f64 y) (cos.f64 y))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y)))))
(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 z 2) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))))) (pow.f64 z 3))))))
(+.f64 (.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (/.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y))) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 z (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) (.f64 -1 (.f64 (pow.f64 z 3) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 y) 2) (/.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (cos.f64 y) 2)))) (.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))))))))))
(+.f64 (.f64 z (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) (+.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 1/6 (+.f64 (neg.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))))) (neg.f64 (pow.f64 z 3)))) (.f64 (*.f64 (sin.f64 y) (pow.f64 z 2)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y)))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (pow.f64 z 3) (neg.f64 (+.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))))) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y))))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 (-.f64 y (neg.f64 z))) (cos.f64 (-.f64 y (neg.f64 z))))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 (-.f64 y (neg.f64 z))) (cos.f64 (-.f64 y (neg.f64 z))))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 (-.f64 y (neg.f64 z))) (cos.f64 (-.f64 y (neg.f64 z))))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 (-.f64 y (neg.f64 z))) (cos.f64 (-.f64 y (neg.f64 z))))
(/.f64 (sin.f64 z) (cos.f64 z))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (/.f64 (sin.f64 z) (cos.f64 z)))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 y (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (*.f64 y (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (*.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (/.f64 (sin.f64 z) (cos.f64 z))))
(+.f64 (.f64 y (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (/.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (cos.f64 z)))))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (.f64 y (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (/.f64 (*.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z)))))
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(.f64 (/.f64 (cos.f64 (+.f64 z y)) (.f64 (sin.f64 (+.f64 z y)) 2)) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))))))
(.f64 (/.f64 (cos.f64 (+.f64 y z)) (.f64 2 (sin.f64 (+.f64 y z)))) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))
(.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z)))) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))
(.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z)))) (/.f64 (*.f64 2 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))))
(.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z)))) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (*.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z))))))
(.f64 (/.f64 1/2 (sin.f64 (+.f64 z y))) (/.f64 (.f64 (cos.f64 (+.f64 z y)) 2) (*.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))))))
(.f64 (/.f64 1/2 (sin.f64 (+.f64 y z))) (/.f64 (.f64 2 (cos.f64 (+.f64 y z))) (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))
(.f64 2 (.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (/.f64 1/2 (sin.f64 (+.f64 y z)))))
(.f64 2 (.f64 (/.f64 (sin.f64 (+.f64 y z)) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (/.f64 1/2 (sin.f64 (+.f64 y z)))))
(.f64 (.f64 (sin.f64 (+.f64 z y)) (/.f64 1/2 (cos.f64 (+.f64 z y)))) 2)
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 1/4 (/.f64 (.f64 (sin.f64 (+.f64 z y)) 4) (cos.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (.f64 (sin.f64 (+.f64 z y)) 1/2) (*.f64 2 (/.f64 1 (cos.f64 (+.f64 z y)))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (.f64 (sin.f64 (+.f64 z y)) 1/2) (/.f64 2 (cos.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 -1 (sin.f64 (+.f64 z y))) (/.f64 (neg.f64 (cos.f64 (+.f64 z y))) (.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))))))
(.f64 (/.f64 -1 (sin.f64 (+.f64 y z))) (/.f64 (neg.f64 (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))
(/.f64 (/.f64 (sin.f64 (+.f64 y z)) (/.f64 (cos.f64 (+.f64 y z)) (neg.f64 (sin.f64 (+.f64 y z))))) (neg.f64 (sin.f64 (+.f64 y z))))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 z y)) 4)) (*.f64 (sin.f64 (+.f64 z y)) 4))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(*.f64 (/.f64 -1 (cos.f64 (+.f64 z y))) (neg.f64 (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 2 (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))))))
(.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))
(.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (/.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))))
(/.f64 (/.f64 (sin.f64 (+.f64 y z)) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (sin.f64 (+.f64 y z)))
(.f64 (.f64 (/.f64 1 (cos.f64 (+.f64 z y))) 1/4) (*.f64 (sin.f64 (+.f64 z y)) 4))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (.f64 -1 (/.f64 1 (cos.f64 (+.f64 z y)))) (neg.f64 (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (.f64 (/.f64 1/2 (cos.f64 (+.f64 z y))) 1/2) (*.f64 (sin.f64 (+.f64 z y)) 4))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 (+.f64 z y))))) (sin.f64 (+.f64 z y)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (.f64 1/2 (/.f64 2 (cos.f64 (+.f64 z y)))) (sin.f64 (+.f64 z y)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 (.f64 (cos.f64 (+.f64 z y)) 2) (*.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))))) (/.f64 1/2 (sin.f64 (+.f64 z y))))
(.f64 (/.f64 1/2 (sin.f64 (+.f64 y z))) (/.f64 (.f64 2 (cos.f64 (+.f64 y z))) (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))
(.f64 2 (.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (/.f64 1/2 (sin.f64 (+.f64 y z)))))
(.f64 2 (.f64 (/.f64 (sin.f64 (+.f64 y z)) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (/.f64 1/2 (sin.f64 (+.f64 y z)))))
(.f64 (/.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))))) (/.f64 (cos.f64 (+.f64 z y)) (*.f64 (sin.f64 (+.f64 z y)) 2)))
(.f64 (/.f64 (cos.f64 (+.f64 y z)) (.f64 2 (sin.f64 (+.f64 y z)))) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))
(.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z)))) (/.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))
(.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z)))) (/.f64 (*.f64 2 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))))
(.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z)))) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (*.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z))))))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 (+.f64 z y)))) (/.f64 1 (cos.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 (cos.f64 (+.f64 z y)) (.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))))) (/.f64 1 (sin.f64 (+.f64 z y))))
(.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))
(.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (/.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))))
(/.f64 (/.f64 (sin.f64 (+.f64 y z)) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (sin.f64 (+.f64 y z)))
(.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 z y))) (.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))))) (/.f64 -1 (sin.f64 (+.f64 z y))))
(.f64 (/.f64 -1 (sin.f64 (+.f64 y z))) (/.f64 (neg.f64 (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))
(/.f64 (/.f64 (sin.f64 (+.f64 y z)) (/.f64 (cos.f64 (+.f64 y z)) (neg.f64 (sin.f64 (+.f64 y z))))) (neg.f64 (sin.f64 (+.f64 y z))))
(.f64 (/.f64 (/.f64 1 (sin.f64 (+.f64 z y))) (.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))))) (cos.f64 (+.f64 z y)))
(.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))
(.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 (+.f64 y z)))))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (/.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (sin.f64 (+.f64 y z))))))
(.f64 (/.f64 1 (.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))))) (/.f64 (/.f64 (cos.f64 (+.f64 z y)) 1/2) (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 (.f64 (cos.f64 (+.f64 z y)) 2) (.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))))) (/.f64 1 (sin.f64 (+.f64 z y))))
(.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))
(.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (/.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))))
(/.f64 (/.f64 (sin.f64 (+.f64 y z)) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (sin.f64 (+.f64 y z)))
(.f64 (/.f64 2 (.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 (.f64 (sin.f64 (+.f64 z y)) 2) (neg.f64 (*.f64 (cos.f64 (+.f64 z y)) 2))) -1)
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 (sin.f64 (+.f64 z y)) (.f64 (cos.f64 (+.f64 z y)) 4)) 4)
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 1/2 (neg.f64 (cos.f64 (+.f64 z y)))) (.f64 (sin.f64 (+.f64 z y)) -2))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 1/2 (.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))))) (/.f64 (/.f64 (cos.f64 (+.f64 z y)) 1/2) (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 (cos.f64 (+.f64 z y)) (.f64 2 (*.f64 (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))))) (/.f64 2 (sin.f64 (+.f64 z y))))
(.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))
(.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (/.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))))
(/.f64 (/.f64 (sin.f64 (+.f64 y z)) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (sin.f64 (+.f64 y z)))
(*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) 4) 4)
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 z y)) 8)) (*.f64 (sin.f64 (+.f64 z y)) 8))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 1 (.f64 (cos.f64 (+.f64 z y)) -2)) (*.f64 (sin.f64 (+.f64 z y)) -2))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(.f64 (/.f64 1 (neg.f64 (.f64 (cos.f64 (+.f64 z y)) 2))) (*.f64 (sin.f64 (+.f64 z y)) -2))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(pow.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) 1)
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(neg.f64 (/.f64 (sin.f64 (+.f64 z y)) (neg.f64 (cos.f64 (+.f64 z y)))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 0)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(*.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 1)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(*.f64 1 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x))
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 1/2))
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 2) 1/2)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(*.f64 4 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 4))
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 4) 1/4)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(.f64 1/2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 2))
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 z y)) (/.f64 2 (cos.f64 (+.f64 z y)))) (+.f64 x x)))
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(.f64 1/4 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 4))
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 1/2) 2)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 4) 4)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(.f64 (+.f64 (.f64 (sin.f64 (+.f64 z y)) (/.f64 2 (cos.f64 (+.f64 z y)))) (+.f64 x x)) 1/2)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 1)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 2) 2)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 4) 4)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 4)) 8)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 4)) (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 4))) 16)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) 1)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
✓	0.1b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
✓	0.1b	(/.f64 (sin.f64 a) (cos.f64 a))
✓	0.2b	(/.f64 (sin.f64 y) (cos.f64 y))

Compiler

Compiled 45 to 12 computations (73.3% saved)

series5.0ms (0%)

Counts

4 → 60

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
1.0ms	x	@	0	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
0.0ms	y	@	-inf	(/.f64 (sin.f64 y) (cos.f64 y))
0.0ms	y	@	inf	(/.f64 (sin.f64 y) (cos.f64 y))
0.0ms	y	@	0	(/.f64 (sin.f64 y) (cos.f64 y))

rewrite154.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`rational.json-simplify-35`
808×	`rational.json-simplify-61`
650×	`rational.json-simplify-55`
646×	`rational.json-simplify-46`
622×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	92
1	103	92
2	279	92
3	731	92
4	1979	92
5	5983	92

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) (cos.f64 y))
(/.f64 (sin.f64 a) (cos.f64 a))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))

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

simplify228.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1078×	`rational.json-simplify-61`
968×	`rational.json-simplify-2`
964×	`rational.json-simplify-46`
882×	`rational.json-simplify-51`
834×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	329	5879
1	722	5461
2	1443	5305
3	2896	5305
4	5022	5281
5	7778	5281

Stop Event

1×	node limit

Counts

203 → 248

Calls

Call 1

Inputs
y
(+.f64 (*.f64 1/3 (pow.f64 y 3)) y)
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 2/15 (pow.f64 y 5)) y))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 2/15 (pow.f64 y 5)) (+.f64 y (*.f64 17/315 (pow.f64 y 7)))))
a
(+.f64 a (*.f64 1/3 (pow.f64 a 3)))
(+.f64 (.f64 2/15 (pow.f64 a 5)) (+.f64 a (.f64 1/3 (pow.f64 a 3))))
(+.f64 (.f64 17/315 (pow.f64 a 7)) (+.f64 (.f64 2/15 (pow.f64 a 5)) (+.f64 a (*.f64 1/3 (pow.f64 a 3)))))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 y x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 y x)) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 2/15 (pow.f64 y 5)) x))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
x
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
x
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (*.f64 -1 a) x))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (.f64 -1 a) x)))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (*.f64 -1 a) x))))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))) x)
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))) x)
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))) x)
x
(+.f64 (*.f64 -1 a) x)
(+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (.f64 -1 a) x))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (*.f64 -1 a) x)))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) 0)
(+.f64 0 (/.f64 (sin.f64 y) (cos.f64 y)))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y)))))
(+.f64 (.f64 (/.f64 1/2 (cos.f64 y)) (sin.f64 y)) (.f64 (/.f64 1/2 (cos.f64 y)) (sin.f64 y)))
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) 0)
(-.f64 0 (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y))))
(*.f64 (sin.f64 y) (/.f64 1 (cos.f64 y)))
(.f64 (sin.f64 y) (.f64 (*.f64 2 (/.f64 1 (cos.f64 y))) 1/2))
(.f64 (sin.f64 y) (.f64 (/.f64 2 (cos.f64 y)) 1/2))
(*.f64 (/.f64 (sin.f64 y) (cos.f64 y)) 1)
(*.f64 1 (/.f64 (sin.f64 y) (cos.f64 y)))
(.f64 (.f64 (sin.f64 y) 2) (/.f64 1/2 (cos.f64 y)))
(.f64 (.f64 (sin.f64 y) 2) (*.f64 (/.f64 1 (cos.f64 y)) 1/2))
(.f64 (.f64 (sin.f64 y) 2) (.f64 (.f64 (/.f64 1 (cos.f64 y)) 1/2) 1))
(*.f64 -1 (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y))))
(.f64 -1 (.f64 (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y))) 1))
(.f64 2 (.f64 (/.f64 1/2 (cos.f64 y)) (sin.f64 y)))
(.f64 2 (.f64 (*.f64 (/.f64 1/2 (cos.f64 y)) (sin.f64 y)) 1))
(.f64 2 (.f64 (/.f64 (sin.f64 y) 2) (/.f64 1 (cos.f64 y))))
(.f64 2 (.f64 (/.f64 (sin.f64 y) (cos.f64 y)) 1/2))
(.f64 2 (.f64 (sin.f64 y) (/.f64 1/2 (cos.f64 y))))
(.f64 2 (.f64 (*.f64 (/.f64 1 (cos.f64 y)) 1/2) (sin.f64 y)))
(.f64 2 (.f64 (/.f64 1 (.f64 (cos.f64 y) 4)) (.f64 (sin.f64 y) 2)))
(.f64 (.f64 (sin.f64 y) (/.f64 2 (cos.f64 y))) 1/2)
(.f64 (.f64 (sin.f64 y) 4) (/.f64 1 (*.f64 (cos.f64 y) 4)))
(.f64 (.f64 (sin.f64 y) 4) (.f64 (/.f64 1 (.f64 (cos.f64 y) 4)) 1))
(.f64 (.f64 (sin.f64 y) 4) (*.f64 1/4 (/.f64 1 (cos.f64 y))))
(.f64 (.f64 (sin.f64 y) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 y))))
(*.f64 (/.f64 1 (cos.f64 y)) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 -1 (cos.f64 y)))
(.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 -1 (cos.f64 y)) 1))
(.f64 (neg.f64 (sin.f64 y)) (.f64 -1 (/.f64 1 (cos.f64 y))))
(.f64 4 (.f64 (/.f64 (sin.f64 y) 2) (/.f64 1/2 (cos.f64 y))))
(.f64 4 (.f64 (*.f64 (/.f64 (sin.f64 y) 2) 1) (/.f64 1/2 (cos.f64 y))))
(.f64 4 (.f64 (*.f64 (sin.f64 y) 1/2) (/.f64 1/2 (cos.f64 y))))
(.f64 -2 (.f64 (neg.f64 (sin.f64 y)) (/.f64 1/2 (cos.f64 y))))
(.f64 (.f64 (sin.f64 y) 8) (*.f64 1/4 (/.f64 1/2 (cos.f64 y))))
(.f64 1/2 (.f64 (sin.f64 y) (/.f64 2 (cos.f64 y))))
(.f64 (/.f64 1/2 (cos.f64 y)) (.f64 (sin.f64 y) 2))
(.f64 (.f64 (sin.f64 y) -2) (*.f64 -1 (/.f64 1/2 (cos.f64 y))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 y))) (*.f64 1/2 (sin.f64 y)))
(.f64 (.f64 (/.f64 1 (cos.f64 y)) 1/2) (*.f64 (sin.f64 y) 2))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y))) -1)
(.f64 (.f64 (/.f64 1/2 (cos.f64 y)) (sin.f64 y)) 2)
(.f64 (/.f64 1 (.f64 (cos.f64 y) 4)) (*.f64 (sin.f64 y) 4))
(*.f64 (/.f64 -1 (cos.f64 y)) (neg.f64 (sin.f64 y)))
(.f64 (+.f64 (.f64 (/.f64 1 (cos.f64 y)) 1/2) (*.f64 (/.f64 1 (cos.f64 y)) 1/2)) (sin.f64 y))
(.f64 (+.f64 (/.f64 1 (.f64 (cos.f64 y) 4)) (/.f64 1 (.f64 (cos.f64 y) 4))) (.f64 (sin.f64 y) 2))
(pow.f64 (/.f64 (sin.f64 y) (cos.f64 y)) 1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y))))
(+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 0)
(+.f64 0 (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 a))))
(+.f64 (.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 a)) (.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 a)))
(-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 0)
(-.f64 0 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 a)))
(*.f64 (sin.f64 a) (/.f64 1 (cos.f64 a)))
(.f64 (sin.f64 a) (.f64 (*.f64 2 (/.f64 1 (cos.f64 a))) 1/2))
(.f64 (sin.f64 a) (.f64 (/.f64 2 (cos.f64 a)) 1/2))
(*.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1)
(*.f64 1 (/.f64 (sin.f64 a) (cos.f64 a)))
(.f64 (.f64 (sin.f64 a) 2) (/.f64 1/2 (cos.f64 a)))
(.f64 (.f64 (sin.f64 a) 2) (*.f64 (/.f64 1 (cos.f64 a)) 1/2))
(.f64 (.f64 (sin.f64 a) 2) (.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/2) 1))
(*.f64 -1 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 a)))
(.f64 2 (.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 a)))
(.f64 2 (.f64 (*.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 a)) 1))
(.f64 2 (.f64 (/.f64 (sin.f64 a) 2) (/.f64 1 (cos.f64 a))))
(.f64 2 (.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1/2))
(.f64 2 (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))))
(.f64 2 (.f64 (*.f64 (/.f64 1 (cos.f64 a)) 1/2) (sin.f64 a)))
(.f64 2 (.f64 (/.f64 (/.f64 1 (cos.f64 a)) 4) (*.f64 (sin.f64 a) 2)))
(.f64 (.f64 (sin.f64 a) (/.f64 2 (cos.f64 a))) 1/2)
(.f64 (.f64 (sin.f64 a) 4) (/.f64 (/.f64 1 (cos.f64 a)) 4))
(.f64 (.f64 (sin.f64 a) 4) (*.f64 (/.f64 (/.f64 1 (cos.f64 a)) 4) 1))
(.f64 (.f64 (sin.f64 a) 4) (*.f64 1/4 (/.f64 1 (cos.f64 a))))
(.f64 (.f64 (sin.f64 a) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 a))))
(*.f64 (/.f64 1 (cos.f64 a)) (sin.f64 a))
(*.f64 (sin.f64 (neg.f64 a)) (/.f64 -1 (cos.f64 a)))
(.f64 (sin.f64 (neg.f64 a)) (.f64 (/.f64 -1 (cos.f64 a)) 1))
(.f64 (sin.f64 (neg.f64 a)) (.f64 -1 (/.f64 1 (cos.f64 a))))
(.f64 4 (.f64 (/.f64 (sin.f64 a) 2) (/.f64 1/2 (cos.f64 a))))
(.f64 4 (.f64 (*.f64 (/.f64 (sin.f64 a) 2) 1) (/.f64 1/2 (cos.f64 a))))
(.f64 4 (.f64 (*.f64 (sin.f64 a) 1/2) (/.f64 1/2 (cos.f64 a))))
(.f64 -2 (.f64 (sin.f64 (neg.f64 a)) (/.f64 1/2 (cos.f64 a))))
(.f64 (.f64 (sin.f64 a) 8) (*.f64 1/4 (/.f64 1/2 (cos.f64 a))))
(*.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 a)) -1)
(.f64 1/2 (.f64 (sin.f64 a) (/.f64 2 (cos.f64 a))))
(.f64 (/.f64 1/2 (cos.f64 a)) (.f64 (sin.f64 a) 2))
(.f64 (.f64 (sin.f64 a) -2) (*.f64 -1 (/.f64 1/2 (cos.f64 a))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 a))) (*.f64 1/2 (sin.f64 a)))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/2) (*.f64 (sin.f64 a) 2))
(.f64 (.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 a)) 2)
(.f64 (/.f64 (/.f64 1 (cos.f64 a)) 4) (.f64 (sin.f64 a) 4))
(*.f64 (/.f64 -1 (cos.f64 a)) (sin.f64 (neg.f64 a)))
(.f64 (+.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/2) (*.f64 (/.f64 1 (cos.f64 a)) 1/2)) (sin.f64 a))
(.f64 (+.f64 (/.f64 (/.f64 1 (cos.f64 a)) 4) (/.f64 (/.f64 1 (cos.f64 a)) 4)) (.f64 (sin.f64 a) 2))
(pow.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1)
(neg.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 0)
(*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 1)
(*.f64 1 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))))
(*.f64 -1 (+.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y)))))
(*.f64 2 (/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2))
(.f64 2 (.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 1))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2))
(.f64 1/2 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -2) (*.f64 (sin.f64 y) (/.f64 2 (cos.f64 y)))))
(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 2)
(/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 1)
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 2)
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 4))) 16)
(pow.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 1)
(+.f64 x (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 a)))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 0)
(+.f64 0 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 -1 (-.f64 1 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)))
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 a)) x)
(+.f64 (-.f64 1 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) -1)
(+.f64 (/.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 2) (/.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 2))
(*.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 1)
(*.f64 1 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(*.f64 -1 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x))
(*.f64 2 (/.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 2))
(.f64 2 (.f64 (/.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 2) 1))
(.f64 2 (-.f64 (/.f64 x 2) (.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 a))))
(.f64 2 (-.f64 (.f64 (/.f64 x 2) 1) (*.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 a))))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -2) 1/2)
(*.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -1)
(.f64 1/2 (.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -2))
(.f64 1/2 (-.f64 (+.f64 x x) (.f64 (sin.f64 a) (/.f64 2 (cos.f64 a)))))
(*.f64 (/.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 2) 2)
(/.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 1)
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -2) 2)
(/.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -1)
(/.f64 (*.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 4) 4)
(/.f64 (*.f64 2 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 4))) 16)
(pow.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 1)
(neg.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x))

Outputs
y
(+.f64 (*.f64 1/3 (pow.f64 y 3)) y)
(+.f64 y (*.f64 1/3 (pow.f64 y 3)))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 2/15 (pow.f64 y 5)) y))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 y (.f64 2/15 (pow.f64 y 5))))
(+.f64 y (+.f64 (.f64 1/3 (pow.f64 y 3)) (.f64 2/15 (pow.f64 y 5))))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 2/15 (pow.f64 y 5)) (+.f64 y (*.f64 17/315 (pow.f64 y 7)))))
(+.f64 (+.f64 y (.f64 17/315 (pow.f64 y 7))) (+.f64 (.f64 1/3 (pow.f64 y 3)) (*.f64 2/15 (pow.f64 y 5))))
(+.f64 y (+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 2/15 (pow.f64 y 5)) (*.f64 17/315 (pow.f64 y 7)))))
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a
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x
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x
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x
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(+.f64 (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))) (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))))
(*.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (sin.f64 a) (sin.f64 a)))
(.f64 (sin.f64 a) (.f64 2 (/.f64 1/2 (cos.f64 a))))
(.f64 2 (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))))
(.f64 -2 (.f64 (sin.f64 (neg.f64 a)) (/.f64 1/2 (cos.f64 a))))
(+.f64 (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))) (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))))
(*.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (sin.f64 a) (sin.f64 a)))
(.f64 (sin.f64 a) (.f64 2 (/.f64 1/2 (cos.f64 a))))
(.f64 2 (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))))
(.f64 (.f64 (sin.f64 a) 8) (*.f64 1/4 (/.f64 1/2 (cos.f64 a))))
(.f64 1/4 (.f64 (/.f64 1/2 (cos.f64 a)) (*.f64 (sin.f64 a) 8)))
(.f64 (sin.f64 a) (.f64 8 (*.f64 1/4 (/.f64 1/2 (cos.f64 a)))))
(*.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 a)) -1)
(/.f64 (sin.f64 a) (cos.f64 a))
(.f64 1/2 (.f64 (sin.f64 a) (/.f64 2 (cos.f64 a))))
(.f64 (sin.f64 a) (.f64 1/2 (/.f64 2 (cos.f64 a))))
(.f64 (/.f64 1/2 (cos.f64 a)) (.f64 (sin.f64 a) 2))
(+.f64 (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))) (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))))
(*.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (sin.f64 a) (sin.f64 a)))
(.f64 (sin.f64 a) (.f64 2 (/.f64 1/2 (cos.f64 a))))
(.f64 2 (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))))
(.f64 (.f64 (sin.f64 a) -2) (*.f64 -1 (/.f64 1/2 (cos.f64 a))))
(+.f64 (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))) (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))))
(*.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (sin.f64 a) (sin.f64 a)))
(.f64 (sin.f64 a) (.f64 2 (/.f64 1/2 (cos.f64 a))))
(.f64 2 (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 a))) (*.f64 1/2 (sin.f64 a)))
(/.f64 (sin.f64 a) (cos.f64 a))
(.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/2) (*.f64 (sin.f64 a) 2))
(/.f64 (sin.f64 a) (cos.f64 a))
(.f64 (.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 a)) 2)
(+.f64 (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))) (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))))
(*.f64 (/.f64 1/2 (cos.f64 a)) (+.f64 (sin.f64 a) (sin.f64 a)))
(.f64 (sin.f64 a) (.f64 2 (/.f64 1/2 (cos.f64 a))))
(.f64 2 (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a))))
(.f64 (/.f64 (/.f64 1 (cos.f64 a)) 4) (.f64 (sin.f64 a) 4))
(.f64 2 (.f64 (sin.f64 a) (*.f64 2 (/.f64 1/4 (cos.f64 a)))))
(.f64 (sin.f64 a) (.f64 (*.f64 2 (/.f64 1/4 (cos.f64 a))) 2))
(.f64 (sin.f64 a) (.f64 4 (/.f64 1/4 (cos.f64 a))))
(*.f64 (/.f64 -1 (cos.f64 a)) (sin.f64 (neg.f64 a)))
(/.f64 (sin.f64 a) (cos.f64 a))
(.f64 (+.f64 (.f64 (/.f64 1 (cos.f64 a)) 1/2) (*.f64 (/.f64 1 (cos.f64 a)) 1/2)) (sin.f64 a))
(/.f64 (sin.f64 a) (cos.f64 a))
(.f64 (+.f64 (/.f64 (/.f64 1 (cos.f64 a)) 4) (/.f64 (/.f64 1 (cos.f64 a)) 4)) (.f64 (sin.f64 a) 2))
(.f64 2 (.f64 (sin.f64 a) (*.f64 2 (/.f64 1/4 (cos.f64 a)))))
(.f64 (sin.f64 a) (.f64 (*.f64 2 (/.f64 1/4 (cos.f64 a))) 2))
(.f64 (sin.f64 a) (.f64 4 (/.f64 1/4 (cos.f64 a))))
(pow.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1)
(/.f64 (sin.f64 a) (cos.f64 a))
(neg.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 a)))
(/.f64 (sin.f64 a) (cos.f64 a))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 0)
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 1)
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(*.f64 1 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))))
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(*.f64 -1 (+.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y)))))
(*.f64 -1 (+.f64 (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)))
(neg.f64 (+.f64 (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)))
(*.f64 2 (/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2))
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(.f64 2 (.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 1))
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 1/2)
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2))
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(.f64 1/2 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -2) (*.f64 (sin.f64 y) (/.f64 2 (cos.f64 y)))))
(.f64 1/2 (+.f64 (.f64 (sin.f64 y) (/.f64 2 (cos.f64 y))) (*.f64 -2 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x))))
(.f64 1/2 (+.f64 (.f64 (sin.f64 y) (/.f64 2 (cos.f64 y))) (*.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 2)))
(.f64 1/2 (+.f64 (.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 2) (*.f64 (sin.f64 y) (/.f64 2 (cos.f64 y)))))
(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 2)
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 1)
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 2)
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 4) 4)
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 4)) 8)
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 4))) 16)
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(pow.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 1)
(-.f64 (+.f64 x (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(+.f64 x (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 a)))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 0)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 0 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 -1 (-.f64 1 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 a)) x)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (-.f64 1 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) -1)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 2) (/.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 2))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(*.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 1)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(*.f64 1 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(*.f64 -1 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(*.f64 2 (/.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 2))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(.f64 2 (.f64 (/.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 2) 1))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(.f64 2 (-.f64 (/.f64 x 2) (.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 a))))
(.f64 2 (-.f64 (/.f64 x 2) (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a)))))
(.f64 2 (-.f64 (.f64 (/.f64 x 2) 1) (*.f64 (/.f64 1/2 (cos.f64 a)) (sin.f64 a))))
(.f64 2 (-.f64 (/.f64 x 2) (.f64 (sin.f64 a) (/.f64 1/2 (cos.f64 a)))))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -2) 1/2)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(*.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -1)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(.f64 1/2 (.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -2))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(.f64 1/2 (-.f64 (+.f64 x x) (.f64 (sin.f64 a) (/.f64 2 (cos.f64 a)))))
(*.f64 (/.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 2) 2)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 1)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -2) 2)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -1)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 4) 4)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 2 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) -2)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (.f64 2 (.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 4)) 8)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 4))) 16)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(pow.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) 1)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(neg.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))

localize108.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))
	0.2b	(/.f64 (sin.f64 y) (cos.f64 y))
✓	0.2b	(pow.f64 (cos.f64 y) 2)
✓	0.3b	(pow.f64 (sin.f64 y) 2)

Compiler

Compiled 140 to 66 computations (52.9% saved)

series8.0ms (0%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))
2.0ms	z	@	0	(*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))
1.0ms	y	@	-inf	(*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))
1.0ms	y	@	inf	(*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))
0.0ms	z	@	inf	(*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))

rewrite99.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`rational.json-1`
1642×	`rational.json-2`
1642×	`rational.json-4`
1642×	`rational.json-3`
1634×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	98	61
2	225	61
3	508	61
4	1260	61
5	4615	61

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(pow.f64 (sin.f64 y) 2)
(pow.f64 (cos.f64 y) 2)
(*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))

Outputs

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

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

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

simplify140.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1022×	`rational.json-simplify-55`
986×	`rational.json-simplify-61`
900×	`rational.json-simplify-51`
854×	`rational.json-simplify-1`
736×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	2224
1	398	2218
2	1239	2206
3	3332	2188
4	5329	2188
5	7514	2188

Stop Event

1×	node limit

Counts

106 → 112

Calls

Call 1

Inputs
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
z
(+.f64 z (*.f64 (pow.f64 y 2) z))
(+.f64 (.f64 2/3 (.f64 (pow.f64 y 4) z)) (+.f64 z (*.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 17/45 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 2/3 (.f64 (pow.f64 y 4) z)) (+.f64 z (*.f64 (pow.f64 y 2) z))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(+.f64 (pow.f64 (sin.f64 y) 2) 0)
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 y) 2))))
(+.f64 0 (pow.f64 (sin.f64 y) 2))
(+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 y) 2))) -1)
(-.f64 (pow.f64 (sin.f64 y) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 y) 2)))
(.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 1/2))
(*.f64 (pow.f64 (sin.f64 y) 2) 1)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 y) 2)))
(*.f64 1 (pow.f64 (sin.f64 y) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 y) 2)) 1/2)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 4) 1/4)
(*.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) -1)
(*.f64 4 (/.f64 (pow.f64 (sin.f64 y) 2) 4))
(.f64 4 (pow.f64 (.f64 (sin.f64 y) 1/2) 2))
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 8) 1/8)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 y) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) -2) -1/2)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/2) 2)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 y) 2) 4))
(.f64 (pow.f64 (.f64 (sin.f64 y) 2) 2) 1/4)
(/.f64 (pow.f64 (sin.f64 y) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 y) 2)) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) 4)
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) -1)
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 8) 8)
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) -2) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 8)) 16)
(/.f64 (*.f64 4 (neg.f64 (pow.f64 (sin.f64 y) 2))) -4)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 y) 2) -2)) 2)
(/.f64 (neg.f64 (*.f64 4 (neg.f64 (pow.f64 (sin.f64 y) 2)))) 4)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)))
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(+.f64 0 (pow.f64 (cos.f64 y) 2))
(-.f64 (pow.f64 (cos.f64 y) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 y) 2)))
(.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) 1/2))
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 y) 2)))
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(.f64 (.f64 2 (pow.f64 (cos.f64 y) 2)) 1/2)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 4) 1/4)
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) -1)
(*.f64 4 (/.f64 (pow.f64 (cos.f64 y) 2) 4))
(.f64 4 (pow.f64 (.f64 (cos.f64 y) 1/2) 2))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 8) 1/8)
(.f64 1/2 (.f64 2 (pow.f64 (cos.f64 y) 2)))
(.f64 1/4 (.f64 (pow.f64 (cos.f64 y) 2) 4))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1/2) 2)
(.f64 (pow.f64 (.f64 2 (cos.f64 y)) 2) 1/4)
(/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 y) 2))))
(/.f64 2 (/.f64 2 (pow.f64 (cos.f64 y) 2)))
(/.f64 (pow.f64 (cos.f64 y) 2) 1)
(/.f64 -1 (-.f64 0 (/.f64 1 (pow.f64 (cos.f64 y) 2))))
(/.f64 1 (/.f64 1 (pow.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) 2)
(/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 4) 4)
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) -1)
(/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 8) 8)
(/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) -2) -2)
(/.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 y) 2)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2))) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) 8)) 16)
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 y) 2) -2)) 2)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)))
(+.f64 (*.f64 z (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1)) 0)
(+.f64 0 (*.f64 z (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1)))
(-.f64 (*.f64 z (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1)) 0)
(/.f64 (*.f64 z (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1)) 1)
(/.f64 (.f64 2 (.f64 z (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1))) 2)
(/.f64 (.f64 z (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1) 4)) 4)
(/.f64 (.f64 2 (.f64 z (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 z (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1) 4))) (.f64 2 (.f64 z (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1) 4)))) 16)
(pow.f64 (*.f64 z (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1)) 1)

Outputs
(pow.f64 y 2)
(+.f64 (*.f64 -1/3 (pow.f64 y 4)) (pow.f64 y 2))
(+.f64 (pow.f64 y 2) (*.f64 -1/3 (pow.f64 y 4)))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (pow.f64 y 2)))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (pow.f64 y 2) (.f64 2/45 (pow.f64 y 6))))
(+.f64 (pow.f64 y 2) (+.f64 (.f64 -1/3 (pow.f64 y 4)) (.f64 2/45 (pow.f64 y 6))))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (.f64 2/45 (pow.f64 y 6)) (+.f64 (pow.f64 y 2) (*.f64 -1/315 (pow.f64 y 8)))))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (pow.f64 y 2) (+.f64 (.f64 -1/315 (pow.f64 y 8)) (*.f64 2/45 (pow.f64 y 6)))))
(+.f64 (.f64 -1/3 (pow.f64 y 4)) (+.f64 (+.f64 (pow.f64 y 2) (.f64 2/45 (pow.f64 y 6))) (*.f64 -1/315 (pow.f64 y 8))))
(+.f64 (pow.f64 y 2) (+.f64 (+.f64 (.f64 -1/3 (pow.f64 y 4)) (.f64 -1/315 (pow.f64 y 8))) (*.f64 2/45 (pow.f64 y 6))))
1
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 1 (*.f64 (pow.f64 y 2) -1))
(+.f64 1 (neg.f64 (pow.f64 y 2)))
(-.f64 1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 y 4) 1/3) (.f64 (pow.f64 y 2) -1)))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 y 2)) (*.f64 (pow.f64 y 4) 1/3)))
(+.f64 (-.f64 1 (pow.f64 y 2)) (*.f64 (pow.f64 y 4) 1/3))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(+.f64 1 (+.f64 (+.f64 (.f64 (pow.f64 y 4) 1/3) (.f64 (pow.f64 y 6) -2/45)) (*.f64 (pow.f64 y 2) -1)))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 y 2)) (+.f64 (.f64 (pow.f64 y 4) 1/3) (.f64 (pow.f64 y 6) -2/45))))
(+.f64 (.f64 (pow.f64 y 4) 1/3) (+.f64 (-.f64 1 (pow.f64 y 2)) (.f64 (pow.f64 y 6) -2/45)))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
z
(+.f64 z (*.f64 (pow.f64 y 2) z))
(+.f64 (.f64 2/3 (.f64 (pow.f64 y 4) z)) (+.f64 z (*.f64 (pow.f64 y 2) z)))
(+.f64 z (+.f64 (.f64 (pow.f64 y 2) z) (.f64 (pow.f64 y 4) (*.f64 z 2/3))))
(+.f64 (+.f64 z (.f64 (pow.f64 y 2) z)) (.f64 (pow.f64 y 4) (*.f64 z 2/3)))
(+.f64 z (.f64 z (+.f64 (pow.f64 y 2) (.f64 (pow.f64 y 4) 2/3))))
(+.f64 (.f64 17/45 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 2/3 (.f64 (pow.f64 y 4) z)) (+.f64 z (*.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 (pow.f64 y 4) (.f64 z 2/3)) (+.f64 (+.f64 z (.f64 (pow.f64 y 2) z)) (.f64 (pow.f64 y 6) (*.f64 z 17/45))))
(+.f64 (+.f64 z (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (pow.f64 y 6) (.f64 z 17/45)) (.f64 (pow.f64 y 4) (*.f64 z 2/3))))
(+.f64 (.f64 z (+.f64 (pow.f64 y 2) (.f64 (pow.f64 y 4) 2/3))) (+.f64 (.f64 (pow.f64 y 6) (.f64 z 17/45)) z))
(+.f64 z (.f64 z (+.f64 (.f64 (pow.f64 y 6) 17/45) (+.f64 (pow.f64 y 2) (*.f64 (pow.f64 y 4) 2/3)))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(+.f64 (pow.f64 (sin.f64 y) 2) 0)
(pow.f64 (sin.f64 y) 2)
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 y) 2))))
(pow.f64 (sin.f64 y) 2)
(+.f64 0 (pow.f64 (sin.f64 y) 2))
(pow.f64 (sin.f64 y) 2)
(+.f64 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 y) 2))) -1)
(pow.f64 (sin.f64 y) 2)
(-.f64 (pow.f64 (sin.f64 y) 2) 0)
(pow.f64 (sin.f64 y) 2)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 1/2))
(pow.f64 (sin.f64 y) 2)
(*.f64 (pow.f64 (sin.f64 y) 2) 1)
(pow.f64 (sin.f64 y) 2)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(*.f64 1 (pow.f64 (sin.f64 y) 2))
(pow.f64 (sin.f64 y) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 y) 2)) 1/2)
(pow.f64 (sin.f64 y) 2)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 4) 1/4)
(pow.f64 (sin.f64 y) 2)
(*.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) -1)
(pow.f64 (sin.f64 y) 2)
(*.f64 4 (/.f64 (pow.f64 (sin.f64 y) 2) 4))
(pow.f64 (sin.f64 y) 2)
(.f64 4 (pow.f64 (.f64 (sin.f64 y) 1/2) 2))
(pow.f64 (sin.f64 y) 2)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 8) 1/8)
(pow.f64 (sin.f64 y) 2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) -2) -1/2)
(pow.f64 (sin.f64 y) 2)
(.f64 (.f64 (pow.f64 (sin.f64 y) 2) 1/2) 2)
(pow.f64 (sin.f64 y) 2)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 y) 2) 4))
(pow.f64 (sin.f64 y) 2)
(.f64 (pow.f64 (.f64 (sin.f64 y) 2) 2) 1/4)
(pow.f64 (sin.f64 y) 2)
(/.f64 (pow.f64 (sin.f64 y) 2) 1)
(pow.f64 (sin.f64 y) 2)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 y) 2)) 2)
(pow.f64 (sin.f64 y) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 4) 4)
(pow.f64 (sin.f64 y) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)) -1)
(pow.f64 (sin.f64 y) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 8) 8)
(pow.f64 (sin.f64 y) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) -2) -2)
(pow.f64 (sin.f64 y) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 y) 2) 8)) 16)
(pow.f64 (sin.f64 y) 2)
(/.f64 (*.f64 4 (neg.f64 (pow.f64 (sin.f64 y) 2))) -4)
(pow.f64 (sin.f64 y) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 y) 2) -2)) 2)
(pow.f64 (sin.f64 y) 2)
(/.f64 (neg.f64 (*.f64 4 (neg.f64 (pow.f64 (sin.f64 y) 2)))) 4)
(pow.f64 (sin.f64 y) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 y) 2)))
(pow.f64 (sin.f64 y) 2)
(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(+.f64 0 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(-.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) 1/2))
(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(pow.f64 (cos.f64 y) 2)
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 2 (pow.f64 (cos.f64 y) 2)) 1/2)
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 4) 1/4)
(pow.f64 (cos.f64 y) 2)
(*.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) -1)
(pow.f64 (cos.f64 y) 2)
(*.f64 4 (/.f64 (pow.f64 (cos.f64 y) 2) 4))
(pow.f64 (cos.f64 y) 2)
(.f64 4 (pow.f64 (.f64 (cos.f64 y) 1/2) 2))
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 8) 1/8)
(pow.f64 (cos.f64 y) 2)
(.f64 1/2 (.f64 2 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(.f64 1/4 (.f64 (pow.f64 (cos.f64 y) 2) 4))
(pow.f64 (cos.f64 y) 2)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1/2) 2)
(pow.f64 (cos.f64 y) 2)
(.f64 (pow.f64 (.f64 2 (cos.f64 y)) 2) 1/4)
(pow.f64 (cos.f64 y) 2)
(/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 y) 2))))
(pow.f64 (cos.f64 y) 2)
(/.f64 2 (/.f64 2 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(/.f64 (pow.f64 (cos.f64 y) 2) 1)
(pow.f64 (cos.f64 y) 2)
(/.f64 -1 (-.f64 0 (/.f64 1 (pow.f64 (cos.f64 y) 2))))
(pow.f64 (cos.f64 y) 2)
(/.f64 1 (/.f64 1 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(/.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2)) 2)
(pow.f64 (cos.f64 y) 2)
(/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 4) 4)
(pow.f64 (cos.f64 y) 2)
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) -1)
(pow.f64 (cos.f64 y) 2)
(/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) 8) 8)
(pow.f64 (cos.f64 y) 2)
(/.f64 (*.f64 (pow.f64 (cos.f64 y) 2) -2) -2)
(pow.f64 (cos.f64 y) 2)
(/.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 y) 2))) -2)
(pow.f64 (cos.f64 y) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 y) 2) 8)) 16)
(pow.f64 (cos.f64 y) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 y) 2) -2)) 2)
(pow.f64 (cos.f64 y) 2)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 2)
(+.f64 (*.f64 z (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1)) 0)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(+.f64 0 (*.f64 z (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1)))
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(-.f64 (*.f64 z (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1)) 0)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(/.f64 (*.f64 z (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1)) 1)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(/.f64 (.f64 2 (.f64 z (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1))) 2)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(/.f64 (.f64 z (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1) 4)) 4)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(/.f64 (.f64 2 (.f64 z (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1) 4))) 8)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(/.f64 (+.f64 (.f64 2 (.f64 z (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1) 4))) (.f64 2 (.f64 z (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1) 4)))) 16)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))
(pow.f64 (*.f64 z (+.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) 1)) 1)
(*.f64 z (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))

localize192.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (sin.f64 y) (cos.f64 y))
	0.2b	(pow.f64 (cos.f64 y) 2)
	0.3b	(pow.f64 (sin.f64 y) 2)
✓	3.6b	(*.f64 (sin.f64 y) (pow.f64 z 2))

Compiler

Compiled 238 to 125 computations (47.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(*.f64 (sin.f64 y) (pow.f64 z 2))
0.0ms	y	@	inf	(*.f64 (sin.f64 y) (pow.f64 z 2))
0.0ms	y	@	0	(*.f64 (sin.f64 y) (pow.f64 z 2))
0.0ms	z	@	inf	(*.f64 (sin.f64 y) (pow.f64 z 2))
0.0ms	y	@	-inf	(*.f64 (sin.f64 y) (pow.f64 z 2))

rewrite84.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`rational.json-1`
1586×	`rational.json-2`
1586×	`rational.json-3`
1582×	`rational.json-4`
1048×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	61	17
2	138	17
3	272	17
4	527	17
5	1212	17
6	3459	17
7	6870	17

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) (pow.f64 z 2))

Outputs

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

simplify309.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1800×	`rational.json-simplify-2`
1588×	`rational.json-simplify-35`
1012×	`rational.json-simplify-53`
928×	`rational.json-simplify-1`
922×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	776
1	139	776
2	280	740
3	616	716
4	2169	716
5	3865	716
6	4311	716
7	4513	716
8	4959	716
9	5852	716
10	6288	716
11	7285	716
12	7912	716

Stop Event

1×	node limit

Counts

36 → 30

Calls

Call 1

Inputs
(*.f64 y (pow.f64 z 2))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 2))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (pow.f64 z 2))) (+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 2)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) (pow.f64 z 2))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (pow.f64 z 2))) (+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 2))))))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(+.f64 (*.f64 (sin.f64 y) (pow.f64 z 2)) 0)
(+.f64 0 (*.f64 (sin.f64 y) (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 z 2) (.f64 (sin.f64 y) 1/2)) (.f64 (pow.f64 z 2) (.f64 (sin.f64 y) 1/2)))
(-.f64 (*.f64 (sin.f64 y) (pow.f64 z 2)) 0)
(/.f64 (*.f64 (sin.f64 y) (pow.f64 z 2)) 1)
(/.f64 (.f64 (sin.f64 y) (.f64 2 (pow.f64 z 2))) 2)
(/.f64 (.f64 (sin.f64 y) (.f64 (pow.f64 z 2) 4)) 4)
(/.f64 (.f64 (sin.f64 y) (.f64 8 (pow.f64 z 2))) 8)
(/.f64 (.f64 2 (.f64 (sin.f64 y) (*.f64 8 (pow.f64 z 2)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 8 (pow.f64 z 2))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 8 (pow.f64 z 2))))) (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 8 (pow.f64 z 2)))))) 64)
(pow.f64 (*.f64 (sin.f64 y) (pow.f64 z 2)) 1)

Outputs
(*.f64 y (pow.f64 z 2))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 2))))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1/6 (*.f64 (pow.f64 z 2) (pow.f64 y 3))))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (pow.f64 y 3) (*.f64 (pow.f64 z 2) -1/6)))
(.f64 (pow.f64 z 2) (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (pow.f64 z 2))) (+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 2)))))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 z 2) (pow.f64 y 3))) (.f64 1/120 (*.f64 (pow.f64 z 2) (pow.f64 y 5)))))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 2) -1/6)) (.f64 (pow.f64 z 2) (*.f64 (pow.f64 y 5) 1/120))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 2) -1/6)) (.f64 (pow.f64 z 2) (+.f64 y (.f64 1/120 (pow.f64 y 5)))))
(.f64 (pow.f64 z 2) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 (pow.f64 z 2) (+.f64 y (+.f64 (.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) (pow.f64 z 2))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (pow.f64 z 2))) (+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (pow.f64 z 2))))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 z 2) (pow.f64 y 5))) (+.f64 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1/6 (.f64 (pow.f64 z 2) (pow.f64 y 3)))) (.f64 -1/5040 (*.f64 (pow.f64 z 2) (pow.f64 y 7)))))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 (+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 2) -1/6)) (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 5) 1/120))) (.f64 (pow.f64 y 7) (*.f64 (pow.f64 z 2) -1/5040))))
(+.f64 (.f64 (pow.f64 y 3) (.f64 (pow.f64 z 2) -1/6)) (+.f64 (.f64 (pow.f64 z 2) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) (.f64 (pow.f64 y 7) (.f64 (pow.f64 z 2) -1/5040))))
(+.f64 (.f64 (pow.f64 z 2) (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 z 2) (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (+.f64 y (*.f64 1/120 (pow.f64 y 5))))))
(+.f64 (.f64 (pow.f64 z 2) (.f64 1/120 (pow.f64 y 5))) (.f64 (pow.f64 z 2) (+.f64 (.f64 -1/5040 (pow.f64 y 7)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(+.f64 (*.f64 (sin.f64 y) (pow.f64 z 2)) 0)
(*.f64 (pow.f64 z 2) (sin.f64 y))
(+.f64 0 (*.f64 (sin.f64 y) (pow.f64 z 2)))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(+.f64 (.f64 (pow.f64 z 2) (.f64 (sin.f64 y) 1/2)) (.f64 (pow.f64 z 2) (.f64 (sin.f64 y) 1/2)))
(*.f64 (pow.f64 z 2) (sin.f64 y))
(-.f64 (*.f64 (sin.f64 y) (pow.f64 z 2)) 0)
(*.f64 (pow.f64 z 2) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) (pow.f64 z 2)) 1)
(*.f64 (pow.f64 z 2) (sin.f64 y))
(/.f64 (.f64 (sin.f64 y) (.f64 2 (pow.f64 z 2))) 2)
(*.f64 (pow.f64 z 2) (sin.f64 y))
(/.f64 (.f64 (sin.f64 y) (.f64 (pow.f64 z 2) 4)) 4)
(*.f64 (pow.f64 z 2) (sin.f64 y))
(/.f64 (.f64 (sin.f64 y) (.f64 8 (pow.f64 z 2))) 8)
(*.f64 (pow.f64 z 2) (sin.f64 y))
(/.f64 (.f64 2 (.f64 (sin.f64 y) (*.f64 8 (pow.f64 z 2)))) 16)
(*.f64 (pow.f64 z 2) (sin.f64 y))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 8 (pow.f64 z 2))))) 32)
(*.f64 (pow.f64 z 2) (sin.f64 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 8 (pow.f64 z 2))))) (.f64 2 (.f64 2 (.f64 (sin.f64 y) (.f64 8 (pow.f64 z 2)))))) 64)
(*.f64 (pow.f64 z 2) (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) (pow.f64 z 2)) 1)
(*.f64 (pow.f64 z 2) (sin.f64 y))

eval1.5s (3.1%)

Compiler: Compiled 46543 to 23618 computations (49.3% saved)

prune760.0ms (1.6%)

Pruning

43 alts after pruning (39 fresh and 4 done)

	Pruned	Kept	Total
New	1340	29	1369
Fresh	2	10	12
Picked	1	0	1
Done	1	4	5
Total	1344	43	1387

Error

11.1b

Counts

1387 → 43

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.5b	(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
▶	12.6b	(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))) 1)
	37.6b	(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
	42.6b	(+.f64 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (cos.f64 (+.f64 z y))) x)
	43.3b	(+.f64 (/.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 z) (pow.f64 y 2))) (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z)))) (cos.f64 (+.f64 z y))) x)
	42.9b	(+.f64 (/.f64 (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z))) (cos.f64 (+.f64 z y))) x)
	36.6b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (+.f64 (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y)))) x)
	36.3b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (+.f64 (cos.f64 y) (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (cos.f64 y) (*.f64 -1/2 (pow.f64 z 2)))))) x)
	36.2b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) x)
	36.7b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x)
	36.3b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 y)) x)
	37.0b	(+.f64 (/.f64 (sin.f64 z) (cos.f64 (+.f64 z y))) x)
	24.9b	(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
	36.9b	(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x)
	36.5b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 (+.f64 z y))) x)
✓	25.4b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
	42.7b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y))) (+.f64 (*.f64 z (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) x)))
	42.1b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (*.f64 z (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) x))
▶	36.5b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)
	43.1b	(+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (*.f64 y (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))) x)
	43.0b	(+.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (pow.f64 z 3) (neg.f64 (+.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))))) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y)))))) x)
	42.7b	(+.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y))))) x)
	44.7b	(+.f64 (+.f64 (*.f64 1/3 (pow.f64 y 3)) y) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
	29.8b	(+.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 z y))) (sin.f64 (+.f64 z y))) x)
▶	29.8b	(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 (+.f64 y z))))) x)
	43.1b	(+.f64 (*.f64 y (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x))
	44.3b	(+.f64 y (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
	24.9b	(+.f64 x (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (tan.f64 a)))
	25.4b	(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (tan.f64 a)))
	31.5b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z)))) (.f64 (pow.f64 y 3) (neg.f64 (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) -1/2) (+.f64 (.f64 (pow.f64 (sin.f64 z) 2) (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (pow.f64 (cos.f64 z) 2)))) (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) 1/6)))))))) (tan.f64 a)))
	31.4b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))))) (tan.f64 a)))
	31.2b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) y)) (tan.f64 a)))
	31.8b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y))))) (tan.f64 a)))
	31.2b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))) (tan.f64 a)))
✓	12.5b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
▶	12.6b	(+.f64 x (-.f64 1 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y))))))
✓	31.2b	(+.f64 x (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1)) (/.f64 (sin.f64 a) (cos.f64 a)))))
	31.4b	(+.f64 x (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) 1) -1)) (/.f64 (sin.f64 a) (cos.f64 a)))))
	31.4b	(+.f64 x (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 z (/.f64 (sin.f64 a) (cos.f64 a)))))
	31.2b	(+.f64 x (+.f64 (+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y))))) (-.f64 (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1)) (/.f64 (sin.f64 a) (cos.f64 a)))))
✓	12.6b	(+.f64 x (+.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2))))
	12.6b	(+.f64 x (+.f64 -2 (+.f64 (-.f64 (-.f64 (tan.f64 (+.f64 y z)) -3) (tan.f64 a)) -1)))
	43.6b	x

Compiler

Compiled 2037 to 1377 computations (32.4% saved)

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y))))
✓	0.2b	(-.f64 1 (tan.f64 (+.f64 z y)))
✓	2.2b	(-.f64 1 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))))
✓	3.5b	(tan.f64 (+.f64 z y))

Compiler

Compiled 57 to 24 computations (57.9% saved)

series6.0ms (0%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Expression
0.0ms	y	@	(-.f64 1 (tan.f64 (+.f64 z y)))
0.0ms	z	@	(-.f64 1 (tan.f64 (+.f64 z y)))
0.0ms	z	@	(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y))))
0.0ms	y	@	(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y))))
0.0ms	z	@	(tan.f64 (+.f64 z y))

rewrite322.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2428×	`rational.json-simplify-2`
1500×	`exponential.json-3`
1500×	`rational.json-1`
1500×	`rational.json-2`
1500×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	88
1	95	88
2	212	88
3	445	86
4	892	84
5	2138	84
6	4011	84
7	5355	84
8	6580	84
9	6832	84
10	7092	84
11	7372	84
12	7683	84

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

Inputs
(tan.f64 (+.f64 z y))
(-.f64 1 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))))
(-.f64 1 (tan.f64 (+.f64 z y)))
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y))))

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

simplify663.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1972×	`rational.json-simplify-35`
1220×	`rational.json-simplify-2`
902×	`rational.json-simplify-41`
876×	`rational.json-simplify-48`
748×	`rational.json-simplify-42`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	386	11778
1	904	11492
2	2181	11156
3	4331	10932
4	5551	10930
5	6867	10930
6	7775	10930

Stop Event

1×	node limit

Counts

250 → 328

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) (cos.f64 y))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z)))
(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 z 2) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))))) (pow.f64 z 3))))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))
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(-.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z))) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (pow.f64 (sin.f64 z) 2)) (pow.f64 (cos.f64 z) 2))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))) (pow.f64 y 3)) (.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))) 1) y))))) (/.f64 (sin.f64 z) (cos.f64 z)))
(-.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(-.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(-.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(-.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(-.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1) (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))))
(-.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1) (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))))
(-.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1) (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))))
(-.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1) (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))))
(+.f64 (tan.f64 (+.f64 z y)) 0)
(+.f64 1 (+.f64 (tan.f64 (+.f64 z y)) -1))
(+.f64 0 (tan.f64 (+.f64 z y)))
(+.f64 (+.f64 (tan.f64 (+.f64 z y)) -1) 1)
(+.f64 -1 (+.f64 (tan.f64 (+.f64 z y)) 1))
(+.f64 (.f64 (tan.f64 (+.f64 z y)) 1/2) (.f64 (tan.f64 (+.f64 z y)) 1/2))
(+.f64 (+.f64 (tan.f64 (+.f64 z y)) 1) -1)
(-.f64 (tan.f64 (+.f64 z y)) 0)
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) -1) -1)
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) 1) 1)
(*.f64 (tan.f64 (+.f64 z y)) 1)
(*.f64 1 (tan.f64 (+.f64 z y)))
(.f64 2 (.f64 (tan.f64 (+.f64 z y)) 1/2))
(*.f64 4 (/.f64 (tan.f64 (+.f64 z y)) 4))
(.f64 (.f64 (tan.f64 (+.f64 z y)) 2) 1/2)
(.f64 (.f64 (tan.f64 (+.f64 z y)) 4) 1/4)
(.f64 1/2 (.f64 (tan.f64 (+.f64 z y)) 2))
(.f64 1/4 (.f64 (tan.f64 (+.f64 z y)) 4))
(.f64 (.f64 (tan.f64 (+.f64 z y)) 1/2) 2)
(*.f64 (/.f64 (tan.f64 (+.f64 z y)) 4) 4)
(/.f64 (tan.f64 (+.f64 z y)) 1)
(/.f64 (*.f64 (tan.f64 (+.f64 z y)) 2) 2)
(/.f64 (*.f64 (tan.f64 (+.f64 z y)) 4) 4)
(/.f64 (.f64 2 (.f64 (tan.f64 (+.f64 z y)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (tan.f64 (+.f64 z y)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (tan.f64 (+.f64 z y)) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (tan.f64 (+.f64 z y)) 4))))) 64)
(pow.f64 (tan.f64 (+.f64 z y)) 1)
(+.f64 (neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))) 0)
(+.f64 0 (neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))))
(+.f64 -1 (-.f64 1 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))))
(+.f64 -1 (-.f64 1 (+.f64 1 (+.f64 (tan.f64 a) (-.f64 -1 (tan.f64 (+.f64 z y)))))))
(+.f64 -2 (-.f64 1 (+.f64 (tan.f64 a) (-.f64 -1 (tan.f64 (+.f64 z y))))))
(+.f64 (-.f64 1 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))) -1)
(+.f64 (/.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))) -2) (/.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))) -2))
(*.f64 1 (neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))))
(*.f64 (neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))) 1)
(*.f64 2 (/.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))) -2))
(.f64 (.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))) -2) 1/2)
(*.f64 4 (/.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))) -4))
(*.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))) -1)
(*.f64 -1 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))))
(*.f64 -1 (+.f64 1 (+.f64 (tan.f64 a) (-.f64 -1 (tan.f64 (+.f64 z y))))))
(.f64 (.f64 (neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))) -2))
(.f64 1/4 (.f64 (neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))) 4))
(*.f64 (/.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))) -2) 2)
(*.f64 (/.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))) -4) 4)
(*.f64 (+.f64 1 (+.f64 (tan.f64 a) (-.f64 -1 (tan.f64 (+.f64 z y))))) -1)
(/.f64 (neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))) 1)
(/.f64 (*.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))) -2) 2)
(/.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))) -1)
(/.f64 (*.f64 (neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))) 4) 4)
(/.f64 (*.f64 2 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))) -2)
(/.f64 (.f64 2 (.f64 (neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))))) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))))) 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))) 4)))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))))) 4)
(/.f64 (neg.f64 (.f64 2 (.f64 2 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))))) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 2 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))))))) 8)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 2 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))))))) 8)
(/.f64 (+.f64 1 (+.f64 (tan.f64 a) (-.f64 -1 (tan.f64 (+.f64 z y))))) -1)
(pow.f64 (neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y))))) 1)
(neg.f64 (+.f64 (tan.f64 a) (neg.f64 (tan.f64 (+.f64 z y)))))
(neg.f64 (+.f64 1 (+.f64 (tan.f64 a) (-.f64 -1 (tan.f64 (+.f64 z y))))))
(+.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 0)
(+.f64 0 (-.f64 1 (tan.f64 (+.f64 z y))))
(+.f64 -1 (neg.f64 (+.f64 (tan.f64 (+.f64 z y)) -2)))
(+.f64 -1 (-.f64 1 (+.f64 (-.f64 (+.f64 (tan.f64 (+.f64 z y)) -2) -2) -1)))
(+.f64 -2 (-.f64 1 (+.f64 (tan.f64 (+.f64 z y)) -2)))
(+.f64 (neg.f64 (+.f64 (tan.f64 (+.f64 z y)) -2)) -1)
(+.f64 (.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 1/2) (.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 1/2))
(*.f64 1 (-.f64 1 (tan.f64 (+.f64 z y))))
(*.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 1)
(.f64 2 (.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 1/2))
(.f64 (.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 2) 1/2)
(*.f64 4 (/.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 4))
(*.f64 (+.f64 (tan.f64 (+.f64 z y)) -1) -1)
(*.f64 -1 (+.f64 (tan.f64 (+.f64 z y)) -1))
(*.f64 -1 (+.f64 (-.f64 (+.f64 (tan.f64 (+.f64 z y)) -2) -2) -1))
(.f64 (.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 2))
(.f64 1/4 (.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 4))
(.f64 (.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 1/2) 2)
(*.f64 (/.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 4) 4)
(*.f64 (+.f64 (-.f64 (+.f64 (tan.f64 (+.f64 z y)) -2) -2) -1) -1)
(/.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 1)
(/.f64 (*.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 2) 2)
(/.f64 (+.f64 (tan.f64 (+.f64 z y)) -1) -1)
(/.f64 (*.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 4)) 8)
(/.f64 (*.f64 2 (+.f64 (tan.f64 (+.f64 z y)) -1)) -2)
(/.f64 (.f64 2 (.f64 2 (+.f64 (tan.f64 (+.f64 z y)) -1))) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (tan.f64 (+.f64 z y)) -1))) 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (+.f64 (tan.f64 (+.f64 z y)) -1)))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 4)))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (tan.f64 (+.f64 z y)) -1)))) 4)
(/.f64 (neg.f64 (.f64 2 (.f64 2 (+.f64 (tan.f64 (+.f64 z y)) -1)))) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 2 (+.f64 (tan.f64 (+.f64 z y)) -1))))) 8)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 2 (+.f64 (tan.f64 (+.f64 z y)) -1))))) 8)
(/.f64 (+.f64 (-.f64 (+.f64 (tan.f64 (+.f64 z y)) -2) -2) -1) -1)
(pow.f64 (-.f64 1 (tan.f64 (+.f64 z y))) 1)
(neg.f64 (+.f64 (tan.f64 (+.f64 z y)) -1))
(neg.f64 (+.f64 (-.f64 (+.f64 (tan.f64 (+.f64 z y)) -2) -2) -1))
(-.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 0)
(-.f64 (+.f64 (tan.f64 a) (neg.f64 (+.f64 (tan.f64 (+.f64 z y)) -2))) 1)
(*.f64 1 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))))
(*.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 1)
(.f64 2 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 1/2))
(.f64 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4))
(.f64 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 2))
(.f64 1/4 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4))
(.f64 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4) 4)
(/.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 1)
(/.f64 (*.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 2) 2)
(/.f64 (*.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4))))) 64)
(pow.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 1)

Outputs
(/.f64 (sin.f64 y) (cos.f64 y))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) z))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) z))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z)))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (.f64 (.f64 (sin.f64 y) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) (/.f64 (pow.f64 z 2) (cos.f64 y)))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (/.f64 (*.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y)))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y)))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y)))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y)))))
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(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(.f64 2 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 1/2))
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(.f64 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 2) 1/2)
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(*.f64 4 (/.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4))
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(.f64 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4) 1/4)
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(.f64 1/2 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 2))
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(.f64 1/4 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4))
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(.f64 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 1/2) 2)
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(*.f64 (/.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4) 4)
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(/.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 1)
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(/.f64 (*.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 2) 2)
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(/.f64 (*.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4) 4)
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(/.f64 (.f64 2 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4)) 8)
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4))) 16)
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4)))) 32)
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 4))))) 64)
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))
(pow.f64 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y)))) 1)
(+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 y z))))

localize89.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)
	0.2b	(/.f64 (sin.f64 y) (cos.f64 y))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 7

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)
0.0ms	x	@	-inf	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)
0.0ms	y	@	inf	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)
0.0ms	x	@	inf	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)
0.0ms	y	@	-inf	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1478×	`rational.json-1`
1478×	`rational.json-2`
1478×	`rational.json-4`
1478×	`rational.json-3`
1470×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	66	21
2	179	21
3	444	21
4	1146	21
5	4094	21

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)

Outputs

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

simplify197.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1712×	`rational.json-simplify-1`
1458×	`rational.json-simplify-35`
1024×	`rational.json-simplify-2`
800×	`rational.json-simplify-26`
760×	`rational.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	492
1	117	492
2	301	492
3	676	492
4	1515	492
5	2727	492
6	3414	492
7	3666	492
8	4360	492
9	4796	492
10	5418	492
11	6261	492
12	7219	492

Stop Event

1×	node limit

Counts

26 → 32

Calls

Call 1

Inputs
x
(+.f64 y x)
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 y x))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 2/15 (pow.f64 y 5)) x)))
(/.f64 (sin.f64 y) (cos.f64 y))
x
x
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 0)
(*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 1)
(*.f64 1 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x))
(.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 1/2))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 2))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 (/.f64 (sin.f64 y) (cos.f64 y)) 2)))
(.f64 1/4 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 1/2) 2)
(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4) 4)
(.f64 (+.f64 (+.f64 x x) (.f64 (/.f64 (sin.f64 y) (cos.f64 y)) 2)) 1/2)
(/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 1)
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 2) 2)
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4))) 16)
(pow.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 1)

Outputs
x
(+.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 1/3 (pow.f64 y 3)) (+.f64 y x))
(+.f64 (+.f64 x y) (*.f64 1/3 (pow.f64 y 3)))
(+.f64 x (+.f64 y (*.f64 1/3 (pow.f64 y 3))))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 2/15 (pow.f64 y 5)) x)))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 y (+.f64 x (.f64 2/15 (pow.f64 y 5)))))
(+.f64 x (+.f64 (+.f64 y (.f64 2/15 (pow.f64 y 5))) (.f64 1/3 (pow.f64 y 3))))
(+.f64 x (+.f64 (.f64 2/15 (pow.f64 y 5)) (+.f64 y (.f64 1/3 (pow.f64 y 3)))))
(+.f64 x (+.f64 y (+.f64 (.f64 1/3 (pow.f64 y 3)) (.f64 2/15 (pow.f64 y 5)))))
(/.f64 (sin.f64 y) (cos.f64 y))
x
x
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 0)
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 1)
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(*.f64 1 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x))
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 1/2))
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 2) 1/2)
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(*.f64 4 (/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4))
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4) 1/4)
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(.f64 1/2 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 2))
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 (/.f64 (sin.f64 y) (cos.f64 y)) 2)))
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(.f64 1/4 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4))
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 1/2) 2)
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4) 4)
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(.f64 (+.f64 (+.f64 x x) (.f64 (/.f64 (sin.f64 y) (cos.f64 y)) 2)) 1/2)
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(/.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 1)
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 2) 2)
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4) 4)
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4)) 8)
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 4))) 16)
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))
(pow.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) 1)
(+.f64 x (/.f64 (sin.f64 y) (cos.f64 y)))

localize79.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))) 1)
✓	0.1b	(-.f64 1 (tan.f64 a))
✓	0.3b	(+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))
	3.5b	(tan.f64 (+.f64 y z))

Compiler

Compiled 55 to 23 computations (58.2% saved)

series4.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))
0.0ms	z	@	0	(+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))
0.0ms	z	@	0	(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))) 1)
0.0ms	y	@	0	(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))) 1)
0.0ms	y	@	-inf	(+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))

rewrite198.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2038×	`rational.json-simplify-1`
1534×	`rational.json-simplify-35`
1454×	`exponential.json-3`
1454×	`rational.json-1`
1454×	`rational.json-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	77
1	114	77
2	267	77
3	583	71
4	1407	69
5	3010	69
6	4438	69
7	5904	69
8	6979	69
9	7163	69
10	7354	69

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))
(-.f64 1 (tan.f64 a))
(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))) 1)

Outputs

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

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

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

simplify358.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1328×	`rational.json-simplify-51`
1278×	`rational.json-simplify-35`
1078×	`rational.json-simplify-41`
1074×	`rational.json-simplify-48`
970×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	322	8674
1	790	8514
2	1774	8346
3	4071	7938
4	6001	7934
5	6904	7934

Stop Event

1×	node limit

Counts

192 → 236

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (sin.f64 z) (cos.f64 z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 1 (/.f64 (sin.f64 z) (cos.f64 z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (*.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 1 (/.f64 (sin.f64 z) (cos.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (pow.f64 (sin.f64 z) 2)) (pow.f64 (cos.f64 z) 2))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))) (+.f64 1 (/.f64 (sin.f64 z) (cos.f64 z)))))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) 1) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) 1) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) 1) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) 1) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 z 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y))) (cos.f64 y)) (+.f64 1 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 z 2) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))))) (pow.f64 z 3))))))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (*.f64 -1 a)))
(+.f64 1 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (.f64 -1 a))))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 1 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (*.f64 -1 a)))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
1
(+.f64 1 (*.f64 -1 a))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 a 3)) (.f64 -1 a)))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 a 3)) (*.f64 -1 a))))
(-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
x
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
x
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x)) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (*.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (pow.f64 (sin.f64 z) 2)) (pow.f64 (cos.f64 z) 2))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) x)) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 z 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) x))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 z 2) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))))) (pow.f64 z 3))) x)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (*.f64 -1 a) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (.f64 -1 a) x)))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (*.f64 -1 a) x))))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 0)
(*.f64 1 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))))
(*.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 1)
(.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 1/2))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 4))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 2))
(.f64 1/4 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 4))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 4) 4)
(/.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 1)
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 2) 2)
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 4))))) 64)
(pow.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) 1)
(+.f64 (-.f64 1 (tan.f64 a)) 0)
(+.f64 0 (-.f64 1 (tan.f64 a)))
(+.f64 -1 (-.f64 1 (+.f64 (tan.f64 a) -1)))
(+.f64 -1 (-.f64 1 (+.f64 1 (+.f64 -1 (+.f64 (tan.f64 a) -1)))))
(+.f64 (-.f64 1 (+.f64 (tan.f64 a) -1)) -1)
(+.f64 -2 (-.f64 1 (+.f64 -1 (+.f64 (tan.f64 a) -1))))
(+.f64 (/.f64 (+.f64 (tan.f64 a) -1) -2) (/.f64 (+.f64 (tan.f64 a) -1) -2))
(+.f64 (-.f64 1 (+.f64 -1 (+.f64 (tan.f64 a) -1))) -2)
(+.f64 (-.f64 1 (+.f64 1 (+.f64 -1 (+.f64 (tan.f64 a) -1)))) -1)
(*.f64 1 (-.f64 1 (tan.f64 a)))
(*.f64 (-.f64 1 (tan.f64 a)) 1)
(*.f64 -1 (+.f64 (tan.f64 a) -1))
(*.f64 2 (/.f64 (+.f64 (tan.f64 a) -1) -2))
(.f64 (.f64 (+.f64 (tan.f64 a) -1) -2) 1/2)
(*.f64 4 (/.f64 (-.f64 1 (tan.f64 a)) 4))
(*.f64 (+.f64 (tan.f64 a) -1) -1)
(.f64 (.f64 (-.f64 1 (tan.f64 a)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (tan.f64 a) -1) -2))
(*.f64 (/.f64 (+.f64 (tan.f64 a) -1) -2) 2)
(.f64 1/4 (.f64 (-.f64 1 (tan.f64 a)) 4))
(*.f64 (/.f64 (-.f64 1 (tan.f64 a)) 4) 4)
(*.f64 (+.f64 1 (+.f64 -1 (+.f64 (tan.f64 a) -1))) -1)
(/.f64 (-.f64 1 (tan.f64 a)) 1)
(/.f64 (*.f64 (+.f64 (tan.f64 a) -1) -2) 2)
(/.f64 (+.f64 (tan.f64 a) -1) -1)
(/.f64 (*.f64 (-.f64 1 (tan.f64 a)) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (tan.f64 a)) 4)) 8)
(/.f64 (*.f64 2 (+.f64 (tan.f64 a) -1)) -2)
(/.f64 (.f64 2 (.f64 2 (+.f64 (tan.f64 a) -1))) -4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (tan.f64 a)) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (tan.f64 a) -1))) 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (+.f64 (tan.f64 a) -1)))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 1 (tan.f64 a)) 4)))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (+.f64 (tan.f64 a) -1)))) 4)
(/.f64 (neg.f64 (.f64 2 (.f64 2 (+.f64 (tan.f64 a) -1)))) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (tan.f64 a)) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 2 (+.f64 (tan.f64 a) -1))))) 8)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 2 (+.f64 (tan.f64 a) -1))))) 8)
(/.f64 (+.f64 1 (+.f64 -1 (+.f64 (tan.f64 a) -1))) -1)
(pow.f64 (-.f64 1 (tan.f64 a)) 1)
(neg.f64 (+.f64 (tan.f64 a) -1))
(neg.f64 (+.f64 1 (+.f64 -1 (+.f64 (tan.f64 a) -1))))
(+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a))))
(+.f64 (-.f64 1 (tan.f64 a)) (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x -1)))
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))) (+.f64 x -1))
(+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (tan.f64 (neg.f64 a))))
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 (-.f64 1 (tan.f64 a)) x)) -1)
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 0)
(+.f64 0 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))))
(+.f64 -1 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 (-.f64 1 (tan.f64 a)) x)))
(+.f64 (+.f64 (-.f64 1 (tan.f64 a)) x) (+.f64 (tan.f64 (+.f64 y z)) -1))
(+.f64 (+.f64 x -1) (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a))))
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (tan.f64 (neg.f64 a)))
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) -1) (+.f64 (-.f64 1 (tan.f64 a)) x))
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) (tan.f64 (neg.f64 a))) x)
(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (tan.f64 (+.f64 y z)))
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x -1)) (-.f64 1 (tan.f64 a)))
(+.f64 (tan.f64 (neg.f64 a)) (+.f64 (tan.f64 (+.f64 y z)) x))
(+.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1/2) (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1/2))
(*.f64 1 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))))
(*.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1)
(.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1/2))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 2))
(.f64 1/4 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1/2) 2)
(*.f64 (/.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4) 4)
(/.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1)
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 2) 2)
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4))))) 64)
(pow.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1)

Outputs
(-.f64 (+.f64 1 (/.f64 (sin.f64 z) (cos.f64 z))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 1 (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 1 (/.f64 (sin.f64 z) (cos.f64 z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 1 (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 (+.f64 1 (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a)))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y))
(+.f64 (+.f64 1 (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a)))) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) y))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))) y) (-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a)))))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (*.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 1 (/.f64 (sin.f64 z) (cos.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (+.f64 (+.f64 1 (/.f64 (sin.f64 z) (cos.f64 z))) (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z))) (-.f64 (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 1 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (/.f64 (*.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (+.f64 y (.f64 (sin.f64 z) (/.f64 (pow.f64 y 2) (cos.f64 z))))) (+.f64 1 (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (.f64 (sin.f64 z) (/.f64 (pow.f64 y 2) (cos.f64 z))))) (+.f64 1 (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))) (+.f64 y (.f64 (sin.f64 z) (/.f64 (pow.f64 y 2) (cos.f64 z))))) (+.f64 1 (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a)))))
(-.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (pow.f64 (sin.f64 z) 2)) (pow.f64 (cos.f64 z) 2))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))) (+.f64 1 (/.f64 (sin.f64 z) (cos.f64 z)))))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 1 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) -1/2) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 z) 2) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (pow.f64 (cos.f64 z) 2))) (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) 1/6))))))))) (-.f64 (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (-.f64 (+.f64 (+.f64 1 (/.f64 (sin.f64 z) (cos.f64 z))) (+.f64 (.f64 (pow.f64 y 3) (neg.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) -1/2) (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) 1/6)))))) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (/.f64 (*.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (.f64 (pow.f64 y 3) (neg.f64 (+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) -1/2) (+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) 1/6)))))) (+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (+.f64 y (.f64 (sin.f64 z) (/.f64 (pow.f64 y 2) (cos.f64 z))))) (+.f64 1 (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a))))))
(+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 1 (.f64 (pow.f64 y 3) (+.f64 (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) 1/6)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))))))) (-.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (*.f64 (sin.f64 z) (/.f64 (pow.f64 y 2) (cos.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))) (+.f64 y (.f64 (sin.f64 z) (/.f64 (pow.f64 y 2) (cos.f64 z))))) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 (-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a))) (.f64 (pow.f64 y 3) (+.f64 (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) 1/6)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))))))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) 1) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y))))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 (-.f64 z (neg.f64 y))) (cos.f64 (-.f64 z (neg.f64 y)))) (-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 1 (-.f64 (/.f64 (sin.f64 (-.f64 z (neg.f64 y))) (cos.f64 (-.f64 z (neg.f64 y)))) (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) 1) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y))))) (/.f64 (sin.f64 a) (cos.f64 a)))
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(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) 1) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y))))) (/.f64 (sin.f64 a) (cos.f64 a)))
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(-.f64 (+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) 1) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 1 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y))))) (/.f64 (sin.f64 a) (cos.f64 a)))
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(+.f64 1 (-.f64 (/.f64 (sin.f64 (-.f64 z (neg.f64 y))) (cos.f64 (-.f64 z (neg.f64 y)))) (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 1 (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z))) (/.f64 (sin.f64 a) (cos.f64 a)))
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x
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(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) (tan.f64 (neg.f64 a))) x)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (tan.f64 (+.f64 y z)))
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x -1)) (-.f64 1 (tan.f64 a)))
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(+.f64 (tan.f64 (neg.f64 a)) (+.f64 (tan.f64 (+.f64 y z)) x))
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(+.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1/2) (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1/2))
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(*.f64 1 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))))
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(*.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1/2))
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 2) 1/2)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(*.f64 4 (/.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4))
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4) 1/4)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(.f64 1/2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 2))
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(.f64 1/4 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4))
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1/2) 2)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(*.f64 (/.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4) 4)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(/.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 2) 2)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4) 4)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(/.f64 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4)) 8)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4))) 16)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4)))) 32)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 4))))) 64)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))
(pow.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (tan.f64 (neg.f64 a)))) 1)
(+.f64 x (+.f64 (tan.f64 (+.f64 z y)) (neg.f64 (tan.f64 a))))

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 a)
✓	0.1b	(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
	0.1b	(/.f64 (sin.f64 a) (cos.f64 a))
	0.2b	(/.f64 (sin.f64 y) (cos.f64 y))

Compiler

Compiled 35 to 11 computations (68.6% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
0.0ms	a	@	inf	(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
0.0ms	a	@	0	(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
0.0ms	y	@	inf	(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
0.0ms	y	@	-inf	(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))

rewrite80.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2090×	`rational.json-1`
2090×	`rational.json-2`
2090×	`rational.json-4`
2090×	`rational.json-3`
860×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	90	40
2	258	40
3	686	40
4	1871	40
5	5688	40

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(sin.f64 a)

Outputs

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

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

simplify158.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1374×	`rational.json-simplify-53`
1094×	`rational.json-simplify-2`
998×	`rational.json-simplify-35`
854×	`rational.json-simplify-61`
764×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	139	1449
1	286	1435
2	727	1435
3	2574	1435
4	5022	1435
5	7151	1435

Stop Event

1×	node limit

Counts

63 → 90

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 y (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 y (.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 2/15 (pow.f64 y 5)) (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))))))
(/.f64 (sin.f64 y) (cos.f64 y))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (*.f64 -1 a))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (.f64 -1 a)))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (*.f64 -1 a))))
a
(+.f64 a (*.f64 -1/6 (pow.f64 a 3)))
(+.f64 a (+.f64 (.f64 -1/6 (pow.f64 a 3)) (.f64 1/120 (pow.f64 a 5))))
(+.f64 a (+.f64 (.f64 -1/6 (pow.f64 a 3)) (+.f64 (.f64 1/120 (pow.f64 a 5)) (*.f64 -1/5040 (pow.f64 a 7)))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))))
(+.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 0)
(+.f64 0 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 -1 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1)))
(+.f64 (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(+.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1)) -1)
(*.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 1)
(*.f64 1 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(*.f64 -1 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 y) (cos.f64 y))))
(*.f64 2 (/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 2))
(.f64 2 (.f64 (/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 2) 1))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 2) 1/2)
(*.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 y) (cos.f64 y))) -1)
(.f64 1/2 (.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 2))
(.f64 1/2 (-.f64 (.f64 (sin.f64 y) (/.f64 2 (cos.f64 y))) (*.f64 (sin.f64 a) (/.f64 2 (cos.f64 a)))))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 2) 2)
(/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 1)
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 2) 2)
(/.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 y) (cos.f64 y))) -1)
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 4) 4)
(/.f64 (*.f64 2 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 y) (cos.f64 y)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 4)) (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 4))) 16)
(pow.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 1)
(neg.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 y) (cos.f64 y))))
(+.f64 (sin.f64 a) 0)
(+.f64 0 (sin.f64 a))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 a))))
(-.f64 (sin.f64 a) 0)
(-.f64 0 (neg.f64 (sin.f64 a)))
(*.f64 (sin.f64 a) 1)
(*.f64 1 (sin.f64 a))
(.f64 (.f64 (sin.f64 a) 2) 1/2)
(*.f64 -1 (neg.f64 (sin.f64 a)))
(*.f64 2 (/.f64 (sin.f64 a) 2))
(.f64 2 (.f64 (/.f64 (sin.f64 a) 2) 1))
(.f64 2 (.f64 (sin.f64 a) 1/2))
(.f64 (.f64 (sin.f64 a) 4) 1/4)
(*.f64 (neg.f64 (sin.f64 a)) -1)
(.f64 1/2 (.f64 (sin.f64 a) 2))
(*.f64 (/.f64 (sin.f64 a) 2) 2)
(.f64 1/4 (.f64 (sin.f64 a) 4))
(/.f64 (sin.f64 a) 1)
(/.f64 (*.f64 (sin.f64 a) 2) 2)
(/.f64 (*.f64 (sin.f64 a) 4) 4)
(/.f64 (neg.f64 (sin.f64 a)) -1)
(/.f64 (*.f64 (sin.f64 a) 8) 8)
(/.f64 (*.f64 (sin.f64 a) -2) -2)
(/.f64 (.f64 2 (.f64 (sin.f64 a) 8)) 16)
(pow.f64 (sin.f64 a) 1)
(neg.f64 (neg.f64 (sin.f64 a)))

Outputs
(*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a)))
(neg.f64 (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (sin.f64 a) (neg.f64 (cos.f64 a)))
(+.f64 y (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))) y)
(+.f64 (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) y)
(+.f64 (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))) y)
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 y (.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 y (+.f64 (.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))) (.f64 1/3 (pow.f64 y 3))))
(+.f64 (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (+.f64 (*.f64 1/3 (pow.f64 y 3)) y))
(+.f64 (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))) (+.f64 y (*.f64 1/3 (pow.f64 y 3))))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 y (+.f64 (.f64 2/15 (pow.f64 y 5)) (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))))))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 2/15 (pow.f64 y 5)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 a) (cos.f64 a))) y)))
(+.f64 (.f64 2/15 (pow.f64 y 5)) (+.f64 (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (+.f64 (.f64 1/3 (pow.f64 y 3)) y)))
(+.f64 (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))) (+.f64 (+.f64 y (.f64 2/15 (pow.f64 y 5))) (.f64 1/3 (pow.f64 y 3))))
(+.f64 (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))) (+.f64 (.f64 2/15 (pow.f64 y 5)) (+.f64 y (.f64 1/3 (pow.f64 y 3)))))
(/.f64 (sin.f64 y) (cos.f64 y))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (*.f64 -1 a))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (neg.f64 a))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (.f64 -1 a)))
(+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 -1 a)))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (neg.f64 a) (*.f64 -1/3 (pow.f64 a 3))))
(+.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (neg.f64 a)) (*.f64 -1/3 (pow.f64 a 3)))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (*.f64 -1 a))))
(+.f64 (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 -1 a))) (*.f64 -2/15 (pow.f64 a 5)))
(+.f64 (+.f64 (neg.f64 a) (.f64 -1/3 (pow.f64 a 3))) (+.f64 (.f64 -2/15 (pow.f64 a 5)) (/.f64 (sin.f64 y) (cos.f64 y))))
(+.f64 (neg.f64 a) (+.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 -1/3 (pow.f64 a 3))) (.f64 -2/15 (pow.f64 a 5))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (+.f64 (neg.f64 a) (.f64 -1/3 (pow.f64 a 3))) (.f64 -2/15 (pow.f64 a 5))))
a
(+.f64 a (*.f64 -1/6 (pow.f64 a 3)))
(+.f64 a (*.f64 (pow.f64 a 3) -1/6))
(+.f64 a (+.f64 (.f64 -1/6 (pow.f64 a 3)) (.f64 1/120 (pow.f64 a 5))))
(+.f64 a (+.f64 (.f64 (pow.f64 a 3) -1/6) (.f64 (pow.f64 a 5) 1/120)))
(+.f64 a (+.f64 (.f64 -1/6 (pow.f64 a 3)) (+.f64 (.f64 1/120 (pow.f64 a 5)) (*.f64 -1/5040 (pow.f64 a 7)))))
(+.f64 a (+.f64 (.f64 (pow.f64 a 3) -1/6) (+.f64 (.f64 (pow.f64 a 5) 1/120) (*.f64 -1/5040 (pow.f64 a 7)))))
(+.f64 a (+.f64 (.f64 (pow.f64 a 5) 1/120) (+.f64 (.f64 (pow.f64 a 3) -1/6) (*.f64 -1/5040 (pow.f64 a 7)))))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))))
(+.f64 (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(+.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 0)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 0 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 -1 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1)))
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))))
(+.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) 1)) -1)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(*.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 1)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(*.f64 1 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(*.f64 -1 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 y) (cos.f64 y))))
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(*.f64 2 (/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 2))
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(.f64 2 (.f64 (/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 2) 1))
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 2) 1/2)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(*.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 y) (cos.f64 y))) -1)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(.f64 1/2 (.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 2))
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(.f64 1/2 (-.f64 (.f64 (sin.f64 y) (/.f64 2 (cos.f64 y))) (*.f64 (sin.f64 a) (/.f64 2 (cos.f64 a)))))
(.f64 1/2 (-.f64 (.f64 (sin.f64 y) (/.f64 2 (cos.f64 y))) (/.f64 (*.f64 (sin.f64 a) 2) (cos.f64 a))))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 2) 2)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 1)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 2) 2)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 y) (cos.f64 y))) -1)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 4) 4)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (*.f64 2 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 y) (cos.f64 y)))) -2)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 4)) 8)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 4)) (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 4))) 16)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(pow.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) 1)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(neg.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 y) (cos.f64 y))))
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (sin.f64 a) 0)
(sin.f64 a)
(+.f64 0 (sin.f64 a))
(sin.f64 a)
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 a))))
(sin.f64 a)
(-.f64 (sin.f64 a) 0)
(sin.f64 a)
(-.f64 0 (neg.f64 (sin.f64 a)))
(sin.f64 a)
(*.f64 (sin.f64 a) 1)
(sin.f64 a)
(*.f64 1 (sin.f64 a))
(sin.f64 a)
(.f64 (.f64 (sin.f64 a) 2) 1/2)
(sin.f64 a)
(*.f64 -1 (neg.f64 (sin.f64 a)))
(sin.f64 a)
(*.f64 2 (/.f64 (sin.f64 a) 2))
(sin.f64 a)
(.f64 2 (.f64 (/.f64 (sin.f64 a) 2) 1))
(sin.f64 a)
(.f64 2 (.f64 (sin.f64 a) 1/2))
(sin.f64 a)
(.f64 (.f64 (sin.f64 a) 4) 1/4)
(sin.f64 a)
(*.f64 (neg.f64 (sin.f64 a)) -1)
(sin.f64 a)
(.f64 1/2 (.f64 (sin.f64 a) 2))
(sin.f64 a)
(*.f64 (/.f64 (sin.f64 a) 2) 2)
(sin.f64 a)
(.f64 1/4 (.f64 (sin.f64 a) 4))
(sin.f64 a)
(/.f64 (sin.f64 a) 1)
(sin.f64 a)
(/.f64 (*.f64 (sin.f64 a) 2) 2)
(sin.f64 a)
(/.f64 (*.f64 (sin.f64 a) 4) 4)
(sin.f64 a)
(/.f64 (neg.f64 (sin.f64 a)) -1)
(sin.f64 a)
(/.f64 (*.f64 (sin.f64 a) 8) 8)
(sin.f64 a)
(/.f64 (*.f64 (sin.f64 a) -2) -2)
(sin.f64 a)
(/.f64 (.f64 2 (.f64 (sin.f64 a) 8)) 16)
(sin.f64 a)
(pow.f64 (sin.f64 a) 1)
(sin.f64 a)
(neg.f64 (neg.f64 (sin.f64 a)))
(sin.f64 a)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))
✓	0.4b	(*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 (+.f64 y z)))
✓	3.6b	(sin.f64 (+.f64 y z))
✓	3.6b	(cos.f64 (+.f64 y z))

Compiler

Compiled 134 to 13 computations (90.3% saved)

series7.0ms (0%)

Counts

4 → 72

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))
1.0ms	y	@	0	(/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))
1.0ms	z	@	0	(/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))
0.0ms	y	@	inf	(/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))
0.0ms	z	@	-inf	(/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))

rewrite120.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`rational.json-1`
1568×	`rational.json-2`
1568×	`rational.json-4`
1568×	`rational.json-3`
1558×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	60
1	73	60
2	191	60
3	504	60
4	1601	60
5	5258	60

Stop Event

1×	node limit

Counts

4 → 371

Calls

Call 1

Inputs
(cos.f64 (+.f64 y z))
(sin.f64 (+.f64 y z))
(*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 (+.f64 y z)))
(/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 y z)) (/.f64 0 (sin.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 y z)) (/.f64 0 (/.f64 1 (sin.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 (cos.f64 (+.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (cos.f64 (+.f64 y z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (sin.f64 (+.f64 y z))) (cos.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (/.f64 1 (sin.f64 (+.f64 y z)))) (cos.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 y z)) (.f64 (/.f64 2 (/.f64 1 (sin.f64 (+.f64 y z)))) (/.f64 1/2 (sin.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (+.f64 y z)) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (.f64 (/.f64 2 (/.f64 1 (sin.f64 (+.f64 y z)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 y z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 y z)) 2) (.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 y z))) 1/2) (sin.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (+.f64 y z)) 2) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (+.f64 y z)) 2) (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (+.f64 y z)) 2) (.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 y z))) 1/2) (cos.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (+.f64 y z)) 2) (.f64 (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (+.f64 y z)) 2) (.f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 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(cos.f64 (+.f64 y z)) (.f64 (sin.f64 (+.f64 y z)) 2)))) (.f64 (sin.f64 (+.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 (+.f64 y z)) (.f64 (sin.f64 (+.f64 y z)) 2)))) (-.f64 0 (neg.f64 (.f64 (sin.f64 (+.f64 y z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 (+.f64 y z)) (.f64 (cos.f64 (+.f64 y z)) 4)))) (.f64 (sin.f64 (+.f64 y z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))))) (sin.f64 (neg.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) 8) (sin.f64 (+.f64 y z))) (/.f64 8 (sin.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (neg.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (PI.f64) (+.f64 y (-.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (PI.f64) (-.f64 (neg.f64 (+.f64 y z)) (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))) (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 y z)) (/.f64 1 (sin.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 y z)) (.f64 2 (/.f64 1/2 (sin.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (+.f64 y z)) (.f64 (/.f64 2 (sin.f64 (+.f64 y z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 1/2 (sin.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 y z)) 2) (.f64 (/.f64 1 (sin.f64 (+.f64 y z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 y z)) 2) (.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 y z))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 y z)) 2) (.f64 (.f64 2 (/.f64 1/2 (sin.f64 (+.f64 y z)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 1 (sin.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 2 (sin.f64 (+.f64 y z)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 1 (.f64 (sin.f64 (+.f64 y z)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 y z)) 4) (.f64 1/2 (/.f64 1/2 (sin.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 y z)) 4) (.f64 (/.f64 1 (.f64 (sin.f64 (+.f64 y z)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (+.f64 y z)) 4) (.f64 1/4 (/.f64 1 (sin.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 (+.f64 y z))) (cos.f64 (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (+.f64 y z))) (.f64 -1 (/.f64 1 (sin.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (+.f64 y z))) (/.f64 -1 (sin.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (+.f64 y z))) (.f64 (/.f64 -1 (sin.f64 (+.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (+.f64 y z)) (/.f64 2 (sin.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sin.f64 (+.f64 y z))) (.f64 (cos.f64 (+.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (sin.f64 (+.f64 y z))) 1/2) (.f64 (cos.f64 (+.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (sin.f64 (+.f64 y z)) 4)) (.f64 (cos.f64 (+.f64 y z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sin.f64 (+.f64 y z))) (neg.f64 (cos.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))))))))

simplify165.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1692×	`rational.json-simplify-49`
1376×	`rational.json-simplify-35`
1318×	`rational.json-simplify-61`
1126×	`rational.json-simplify-46`
892×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	564	8417
1	1698	8211
2	7212	8091

Stop Event

1×	node limit

Counts

443 → 340

Calls

Call 1

Inputs
(cos.f64 z)
(+.f64 (cos.f64 z) (.f64 -1 (.f64 (sin.f64 z) y)))
(+.f64 (cos.f64 z) (+.f64 (.f64 -1 (.f64 (sin.f64 z) y)) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 z)))))
(+.f64 (cos.f64 z) (+.f64 (.f64 -1 (.f64 (sin.f64 z) y)) (+.f64 (.f64 1/6 (.f64 (sin.f64 z) (pow.f64 y 3))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 z))))))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 y)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (cos.f64 y))) (cos.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 1/6 (.f64 (pow.f64 z 3) (sin.f64 y))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (cos.f64 y))) (cos.f64 y))))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 z)
(+.f64 (sin.f64 z) (*.f64 y (cos.f64 z)))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 z) (pow.f64 y 2))) (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (cos.f64 z))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 z) (pow.f64 y 2))) (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z)))))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (sin.f64 y))) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (sin.f64 y))) (+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 -1/6 (*.f64 (pow.f64 z 3) (cos.f64 y))) (sin.f64 y))))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 z)
(+.f64 (cos.f64 z) (.f64 -1 (.f64 (sin.f64 z) y)))
(+.f64 (cos.f64 z) (+.f64 (.f64 -1 (.f64 (sin.f64 z) y)) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 z)))))
(+.f64 (cos.f64 z) (+.f64 (.f64 -1 (.f64 (sin.f64 z) y)) (+.f64 (.f64 1/6 (.f64 (sin.f64 z) (pow.f64 y 3))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 z))))))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 y)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (cos.f64 y))) (cos.f64 y)))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 1/6 (.f64 (pow.f64 z 3) (sin.f64 y))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (cos.f64 y))) (cos.f64 y))))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 y z))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(/.f64 (cos.f64 z) (sin.f64 z))
(+.f64 (.f64 -1 (.f64 y (+.f64 1 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2))))) (/.f64 (cos.f64 z) (sin.f64 z)))
(+.f64 (.f64 -1 (.f64 y (+.f64 1 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2))))) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2))) (cos.f64 z))) (sin.f64 z)) (/.f64 (cos.f64 z) (sin.f64 z))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) (.f64 (cos.f64 z) (+.f64 1 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2))))) (sin.f64 z)) (+.f64 (.f64 -1 (.f64 y (+.f64 1 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2))))) (+.f64 (/.f64 (cos.f64 z) (sin.f64 z)) (.f64 (pow.f64 y 3) (-.f64 1/6 (+.f64 (.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2)))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2))) (/.f64 (.f64 (pow.f64 (cos.f64 z) 2) (+.f64 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2)) 1)) (pow.f64 (sin.f64 z) 2)))))))))
(/.f64 (cos.f64 (-.f64 z (.f64 -1 y))) (sin.f64 (-.f64 z (.f64 -1 y))))
(/.f64 (cos.f64 (-.f64 z (.f64 -1 y))) (sin.f64 (-.f64 z (.f64 -1 y))))
(/.f64 (cos.f64 (-.f64 z (.f64 -1 y))) (sin.f64 (-.f64 z (.f64 -1 y))))
(/.f64 (cos.f64 (-.f64 z (.f64 -1 y))) (sin.f64 (-.f64 z (.f64 -1 y))))
(/.f64 (cos.f64 y) (sin.f64 y))
(+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (.f64 -1 (.f64 z (+.f64 1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))))))
(+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (+.f64 (/.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 z 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))))) (sin.f64 y)) (.f64 -1 (.f64 z (+.f64 1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2)))))))
(+.f64 (/.f64 (cos.f64 y) (sin.f64 y)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (.f64 (cos.f64 y) (+.f64 1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))))) (sin.f64 y)) (+.f64 (.f64 -1 (.f64 z (+.f64 1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))))) (.f64 (-.f64 1/6 (+.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2)) 1) (pow.f64 (cos.f64 y) 2)) (pow.f64 (sin.f64 y) 2)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))) (.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (sin.f64 y) 2))))))) (pow.f64 z 3)))))
(/.f64 (cos.f64 (-.f64 y (.f64 -1 z))) (sin.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (cos.f64 (-.f64 y (.f64 -1 z))) (sin.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (cos.f64 (-.f64 y (.f64 -1 z))) (sin.f64 (-.f64 y (.f64 -1 z))))
(/.f64 (cos.f64 (-.f64 y (.f64 -1 z))) (sin.f64 (-.f64 y (.f64 -1 z))))
(+.f64 (cos.f64 (+.f64 y z)) 0)
(+.f64 (cos.f64 (+.f64 y z)) (/.f64 0 (sin.f64 (+.f64 y z))))
(+.f64 (cos.f64 (+.f64 y z)) (/.f64 0 (/.f64 1 (sin.f64 (+.f64 y z)))))
(+.f64 0 (cos.f64 (+.f64 y z)))
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (+.f64 y z)))))
(+.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 (cos.f64 (+.f64 y z)) 2))
(+.f64 (-.f64 1 (neg.f64 (cos.f64 (+.f64 y z)))) -1)
(+.f64 (/.f64 0 (sin.f64 (+.f64 y z))) (cos.f64 (+.f64 y z)))
(+.f64 (/.f64 0 (/.f64 1 (sin.f64 (+.f64 y z)))) (cos.f64 (+.f64 y z)))
(-.f64 (cos.f64 (+.f64 y z)) 0)
(-.f64 0 (neg.f64 (cos.f64 (+.f64 y z))))
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(/.f64 (+.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) 8) (/.f64 1 (sin.f64 (+.f64 y z)))) (/.f64 (.f64 (cos.f64 (+.f64 y z)) 8) (/.f64 1 (sin.f64 (+.f64 y z))))) (.f64 2 (.f64 (sin.f64 (+.f64 y z)) 8)))
(/.f64 (+.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (/.f64 1 (sin.f64 (+.f64 y z)))) (/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (/.f64 1 (sin.f64 (+.f64 y z))))) (.f64 2 (.f64 (sin.f64 (+.f64 y z)) -2)))
(/.f64 (+.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (/.f64 1 (sin.f64 (+.f64 y z)))) (/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (/.f64 1 (sin.f64 (+.f64 y z))))) (.f64 2 (neg.f64 (.f64 (sin.f64 (+.f64 y z)) 2))))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 1 (sin.f64 (+.f64 y z)))) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 1 (sin.f64 (+.f64 y z))))) (.f64 2 (.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))))
(/.f64 (+.f64 (/.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z))))) (/.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))))) -2)
(/.f64 (+.f64 (neg.f64 (.f64 (cos.f64 (+.f64 y z)) (.f64 (sin.f64 (+.f64 y z)) 2))) (neg.f64 (.f64 (cos.f64 (+.f64 y z)) (.f64 (sin.f64 (+.f64 y z)) 2)))) (.f64 2 (neg.f64 (.f64 (sin.f64 (+.f64 y z)) 2))))
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 (+.f64 y z)) (.f64 (cos.f64 (+.f64 y z)) 4))) (neg.f64 (.f64 (sin.f64 (+.f64 y z)) (.f64 (cos.f64 (+.f64 y z)) 4)))) (+.f64 (neg.f64 (.f64 (sin.f64 (+.f64 y z)) 4)) (neg.f64 (.f64 (sin.f64 (+.f64 y z)) 4))))
(/.f64 (+.f64 (neg.f64 (.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z))))) (neg.f64 (.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))))) (*.f64 (sin.f64 (+.f64 y z)) 2))
(/.f64 (+.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z))))) (+.f64 (neg.f64 (/.f64 1 (sin.f64 (+.f64 y z)))) (neg.f64 (/.f64 1 (sin.f64 (+.f64 y z))))))
(/.f64 (/.f64 (sin.f64 (+.f64 y z)) 1/2) (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 2) (/.f64 (sin.f64 (+.f64 y z)) 2))
(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (.f64 (sin.f64 (+.f64 y z)) 4)) 1/4)
(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 1/2) (.f64 (sin.f64 (+.f64 y z)) 2))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))) (sin.f64 (+.f64 y z))) -1)
(/.f64 (/.f64 (/.f64 2 (/.f64 1 (sin.f64 (+.f64 y z)))) (sin.f64 (+.f64 y z))) (/.f64 2 (cos.f64 (+.f64 y z))))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 1 (sin.f64 (+.f64 y z)))) (sin.f64 (+.f64 y z))) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (cos.f64 (+.f64 y z))))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 1 (sin.f64 (+.f64 y z)))) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(/.f64 (/.f64 (neg.f64 (.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z))))) (.f64 (sin.f64 (+.f64 y z)) 2)) 1/2)
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z))))) 2) (/.f64 (sin.f64 (+.f64 y z)) 2))
(/.f64 (/.f64 (neg.f64 (.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z))))) (.f64 (sin.f64 (+.f64 y z)) 4)) 1/4)
(/.f64 (/.f64 (neg.f64 (.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z))))) 1/2) (.f64 (sin.f64 (+.f64 y z)) 2))
(/.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 (+.f64 y z)) (.f64 (cos.f64 (+.f64 y z)) 4)))) (-.f64 0 (.f64 (sin.f64 (+.f64 y z)) 8)))
(/.f64 (neg.f64 (.f64 2 (.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))))) (-.f64 0 (*.f64 (sin.f64 (+.f64 y z)) -2)))
(/.f64 (neg.f64 (/.f64 2 (/.f64 1 (sin.f64 (+.f64 y z))))) (-.f64 0 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z))))))
(/.f64 (neg.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) 8) (/.f64 1 (sin.f64 (+.f64 y z))))) (-.f64 0 (.f64 (sin.f64 (+.f64 y z)) 8)))
(/.f64 (neg.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (/.f64 1 (sin.f64 (+.f64 y z))))) (.f64 (sin.f64 (+.f64 y z)) 2))
(/.f64 (neg.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (/.f64 1 (sin.f64 (+.f64 y z))))) (-.f64 0 (.f64 (sin.f64 (+.f64 y z)) -2)))
(/.f64 (neg.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (/.f64 1 (sin.f64 (+.f64 y z))))) (-.f64 0 (neg.f64 (.f64 (sin.f64 (+.f64 y z)) 2))))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 1 (sin.f64 (+.f64 y z))))) (-.f64 0 (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 (+.f64 y z)) (.f64 (sin.f64 (+.f64 y z)) 2)))) (*.f64 (sin.f64 (+.f64 y z)) 2))
(/.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 (+.f64 y z)) (.f64 (sin.f64 (+.f64 y z)) 2)))) (-.f64 0 (neg.f64 (*.f64 (sin.f64 (+.f64 y z)) 2))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 (+.f64 y z)) (.f64 (cos.f64 (+.f64 y z)) 4)))) (*.f64 (sin.f64 (+.f64 y z)) 4))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))))) (sin.f64 (neg.f64 (+.f64 y z))))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) 8) (sin.f64 (+.f64 y z))) (/.f64 8 (sin.f64 (+.f64 y z))))
(pow.f64 (cos.f64 (+.f64 y z)) 1)
(neg.f64 (neg.f64 (cos.f64 (+.f64 y z))))
(neg.f64 (/.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z))))))
(cos.f64 (+.f64 y z))
(cos.f64 (neg.f64 (+.f64 y z)))
(cos.f64 (-.f64 (PI.f64) (+.f64 y (-.f64 z (PI.f64)))))
(cos.f64 (-.f64 (PI.f64) (-.f64 (neg.f64 (+.f64 y z)) (PI.f64))))
(+.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 0)
(+.f64 0 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))
(+.f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))) (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))))
(-.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 0)
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 1 (sin.f64 (+.f64 y z))))
(.f64 (cos.f64 (+.f64 y z)) (.f64 2 (/.f64 1/2 (sin.f64 (+.f64 y z)))))
(.f64 (cos.f64 (+.f64 y z)) (.f64 (/.f64 2 (sin.f64 (+.f64 y z))) 1/2))
(*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 1)
(*.f64 1 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 1/2 (sin.f64 (+.f64 y z))))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 2) (*.f64 (/.f64 1 (sin.f64 (+.f64 y z))) 1/2))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 2) (.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 y z))) 1/2) 1))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 2) (.f64 (.f64 2 (/.f64 1/2 (sin.f64 (+.f64 y z)))) 1/2))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))))
(.f64 -1 (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))) 1))
(.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 1/2))
(*.f64 2 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))))
(.f64 2 (.f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))) 1))
(.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 1 (sin.f64 (+.f64 y z)))))
(.f64 2 (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z)))))
(.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 2 (sin.f64 (+.f64 y z)))) 1/2)
(.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 1 (*.f64 (sin.f64 (+.f64 y z)) 4)))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 (+.f64 y z)))))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (.f64 (/.f64 1 (.f64 (sin.f64 (+.f64 y z)) 4)) 1))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (*.f64 1/4 (/.f64 1 (sin.f64 (+.f64 y z)))))
(*.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (cos.f64 (+.f64 y z)))
(.f64 (neg.f64 (cos.f64 (+.f64 y z))) (.f64 -1 (/.f64 1 (sin.f64 (+.f64 y z)))))
(*.f64 (neg.f64 (cos.f64 (+.f64 y z))) (/.f64 -1 (sin.f64 (+.f64 y z))))
(.f64 (neg.f64 (cos.f64 (+.f64 y z))) (.f64 (/.f64 -1 (sin.f64 (+.f64 y z))) 1))
(.f64 1/2 (.f64 (cos.f64 (+.f64 y z)) (/.f64 2 (sin.f64 (+.f64 y z)))))
(.f64 (/.f64 1/2 (sin.f64 (+.f64 y z))) (.f64 (cos.f64 (+.f64 y z)) 2))
(.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 y z))) 1/2) (*.f64 (cos.f64 (+.f64 y z)) 2))
(*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))) -1)
(*.f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))) 2)
(.f64 (/.f64 1 (.f64 (sin.f64 (+.f64 y z)) 4)) (*.f64 (cos.f64 (+.f64 y z)) 4))
(*.f64 (/.f64 -1 (sin.f64 (+.f64 y z))) (neg.f64 (cos.f64 (+.f64 y z))))
(pow.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 1)
(neg.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))))

Outputs
(cos.f64 z)
(+.f64 (cos.f64 z) (.f64 -1 (.f64 (sin.f64 z) y)))
(+.f64 (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y)))
(+.f64 (cos.f64 z) (+.f64 (.f64 -1 (.f64 (sin.f64 z) y)) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 z)))))
(+.f64 (cos.f64 z) (+.f64 (.f64 -1 (.f64 (sin.f64 z) y)) (.f64 -1/2 (.f64 (cos.f64 z) (pow.f64 y 2)))))
(+.f64 (cos.f64 z) (+.f64 (.f64 (sin.f64 z) (neg.f64 y)) (.f64 (cos.f64 z) (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (cos.f64 z) (+.f64 (.f64 -1 (.f64 (sin.f64 z) y)) (+.f64 (.f64 1/6 (.f64 (sin.f64 z) (pow.f64 y 3))) (.f64 -1/2 (.f64 (pow.f64 y 2) (cos.f64 z))))))
(+.f64 (.f64 -1 (.f64 (sin.f64 z) y)) (+.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 z) (pow.f64 y 2))) (.f64 (sin.f64 z) (.f64 (pow.f64 y 3) 1/6))) (cos.f64 z)))
(+.f64 (.f64 (sin.f64 z) (neg.f64 y)) (+.f64 (cos.f64 z) (+.f64 (.f64 (cos.f64 z) (.f64 -1/2 (pow.f64 y 2))) (.f64 (sin.f64 z) (*.f64 1/6 (pow.f64 y 3))))))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 z (neg.f64 y)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 z (neg.f64 y)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 z (neg.f64 y)))
(cos.f64 (-.f64 z (*.f64 -1 y)))
(cos.f64 (-.f64 z (neg.f64 y)))
(cos.f64 y)
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (cos.f64 y) (.f64 z (.f64 (sin.f64 y) -1)))
(+.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (cos.f64 y))) (cos.f64 y)))
(+.f64 (.f64 z (.f64 (sin.f64 y) -1)) (+.f64 (cos.f64 y) (.f64 -1/2 (.f64 (cos.f64 y) (pow.f64 z 2)))))
(+.f64 (+.f64 (cos.f64 y) (.f64 z (neg.f64 (sin.f64 y)))) (.f64 -1/2 (*.f64 (cos.f64 y) (pow.f64 z 2))))
(+.f64 (.f64 -1 (.f64 z (sin.f64 y))) (+.f64 (.f64 1/6 (.f64 (pow.f64 z 3) (sin.f64 y))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (cos.f64 y))) (cos.f64 y))))
(+.f64 (.f64 z (.f64 (sin.f64 y) -1)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 y) (pow.f64 z 2))) (+.f64 (cos.f64 y) (.f64 1/6 (.f64 (sin.f64 y) (pow.f64 z 3))))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 y) (pow.f64 z 2))) (+.f64 (+.f64 (cos.f64 y) (.f64 (sin.f64 y) (.f64 (pow.f64 z 3) 1/6))) (*.f64 z (neg.f64 (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 (.f64 z (neg.f64 (sin.f64 y))) (.f64 -1/2 (.f64 (cos.f64 y) (pow.f64 z 2)))) (.f64 (sin.f64 y) (*.f64 (pow.f64 z 3) 1/6))))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (*.f64 z -1)))
(cos.f64 (-.f64 y (neg.f64 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (*.f64 z -1)))
(cos.f64 (-.f64 y (neg.f64 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (*.f64 z -1)))
(cos.f64 (-.f64 y (neg.f64 z)))
(cos.f64 (-.f64 y (*.f64 -1 z)))
(cos.f64 (-.f64 y (*.f64 z -1)))
(cos.f64 (-.f64 y (neg.f64 z)))
(sin.f64 z)
(+.f64 (sin.f64 z) (*.f64 y (cos.f64 z)))
(+.f64 (sin.f64 z) (*.f64 (cos.f64 z) y))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 z) (pow.f64 y 2))) (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z))))
(+.f64 (sin.f64 z) (+.f64 (.f64 (cos.f64 z) y) (.f64 (sin.f64 z) (*.f64 (pow.f64 y 2) -1/2))))
(+.f64 (sin.f64 z) (+.f64 (.f64 (cos.f64 z) y) (.f64 (sin.f64 z) (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (cos.f64 z))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 z) (pow.f64 y 2))) (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z)))))
(+.f64 (.f64 (sin.f64 z) (.f64 (pow.f64 y 2) -1/2)) (+.f64 (+.f64 (sin.f64 z) (.f64 (cos.f64 z) y)) (.f64 (pow.f64 y 3) (*.f64 (cos.f64 z) -1/6))))
(+.f64 (+.f64 (sin.f64 z) (.f64 (cos.f64 z) y)) (+.f64 (.f64 (cos.f64 z) (.f64 -1/6 (pow.f64 y 3))) (.f64 (sin.f64 z) (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 (cos.f64 z) y) (+.f64 (+.f64 (sin.f64 z) (.f64 (sin.f64 z) (.f64 -1/2 (pow.f64 y 2)))) (.f64 (cos.f64 z) (*.f64 -1/6 (pow.f64 y 3)))))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 z (neg.f64 y)))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 z (neg.f64 y)))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 z (neg.f64 y)))
(sin.f64 (-.f64 z (*.f64 -1 y)))
(sin.f64 (-.f64 z (neg.f64 y)))
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (sin.f64 y))) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)))
(+.f64 (+.f64 (sin.f64 y) (.f64 z (cos.f64 y))) (.f64 -1/2 (*.f64 (sin.f64 y) (pow.f64 z 2))))
(+.f64 (sin.f64 y) (+.f64 (.f64 z (cos.f64 y)) (.f64 -1/2 (*.f64 (sin.f64 y) (pow.f64 z 2)))))
(+.f64 (.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) (.f64 -1/2 (*.f64 (sin.f64 y) (pow.f64 z 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) (sin.f64 y))) (+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 -1/6 (*.f64 (pow.f64 z 3) (cos.f64 y))) (sin.f64 y))))
(+.f64 (.f64 z (cos.f64 y)) (+.f64 (+.f64 (sin.f64 y) (.f64 (pow.f64 z 3) (.f64 (cos.f64 y) -1/6))) (.f64 -1/2 (*.f64 (sin.f64 y) (pow.f64 z 2)))))
(+.f64 (.f64 z (cos.f64 y)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 y) (pow.f64 z 2))) (+.f64 (sin.f64 y) (.f64 (cos.f64 y) (*.f64 (pow.f64 z 3) -1/6)))))
(+.f64 (sin.f64 y) (+.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (cos.f64 y) (.f64 (pow.f64 z 3) -1/6))) (.f64 -1/2 (*.f64 (sin.f64 y) (pow.f64 z 2)))))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (*.f64 z -1)))
(sin.f64 (-.f64 y (neg.f64 z)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (*.f64 z -1)))
(sin.f64 (-.f64 y (neg.f64 z)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (*.f64 z -1)))
(sin.f64 (-.f64 y (neg.f64 z)))
(sin.f64 (-.f64 y (*.f64 -1 z)))
(sin.f64 (-.f64 y (*.f64 z -1)))
(sin.f64 (-.f64 y (neg.f64 z)))
(cos.f64 z)
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(/.f64 (neg.f64 (.f64 (sin.f64 (+.f64 z y)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) (neg.f64 (.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 (+.f64 y z)) (.f64 (sin.f64 (+.f64 y z)) 2)))) (*.f64 (sin.f64 (+.f64 y z)) 2))
(cos.f64 (+.f64 z y))
(/.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 (+.f64 y z)) (.f64 (sin.f64 (+.f64 y z)) 2)))) (-.f64 0 (neg.f64 (*.f64 (sin.f64 (+.f64 y z)) 2))))
(cos.f64 (+.f64 z y))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 (+.f64 y z)) (.f64 (cos.f64 (+.f64 y z)) 4)))) (*.f64 (sin.f64 (+.f64 y z)) 4))
(cos.f64 (+.f64 z y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))))) (sin.f64 (neg.f64 (+.f64 y z))))
(cos.f64 (+.f64 z y))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) 8) (sin.f64 (+.f64 y z))) (/.f64 8 (sin.f64 (+.f64 y z))))
(cos.f64 (+.f64 z y))
(pow.f64 (cos.f64 (+.f64 y z)) 1)
(cos.f64 (+.f64 z y))
(neg.f64 (neg.f64 (cos.f64 (+.f64 y z))))
(cos.f64 (+.f64 z y))
(neg.f64 (/.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z))))))
(cos.f64 (+.f64 z y))
(cos.f64 (+.f64 y z))
(cos.f64 (+.f64 z y))
(cos.f64 (neg.f64 (+.f64 y z)))
(cos.f64 (+.f64 z y))
(cos.f64 (-.f64 (PI.f64) (+.f64 y (-.f64 z (PI.f64)))))
(neg.f64 (cos.f64 (+.f64 y (-.f64 z (PI.f64)))))
(cos.f64 (-.f64 (PI.f64) (-.f64 (neg.f64 (+.f64 y z)) (PI.f64))))
(neg.f64 (cos.f64 (-.f64 (neg.f64 (+.f64 z y)) (PI.f64))))
(+.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 0)
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(+.f64 0 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(+.f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))) (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(-.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 0)
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 1 (sin.f64 (+.f64 y z))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (cos.f64 (+.f64 y z)) (.f64 2 (/.f64 1/2 (sin.f64 (+.f64 y z)))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (cos.f64 (+.f64 y z)) (.f64 (/.f64 2 (sin.f64 (+.f64 y z))) 1/2))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 1)
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(*.f64 1 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 1/2 (sin.f64 (+.f64 y z))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 2) (*.f64 (/.f64 1 (sin.f64 (+.f64 y z))) 1/2))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 2) (.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 y z))) 1/2) 1))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 2) (.f64 (.f64 2 (/.f64 1/2 (sin.f64 (+.f64 y z)))) 1/2))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(*.f64 -1 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 -1 (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))) 1))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 1/2))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(*.f64 2 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 2 (.f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))) 1))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 1 (sin.f64 (+.f64 y z)))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 2 (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z)))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 2 (sin.f64 (+.f64 y z)))) 1/2)
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 1 (*.f64 (sin.f64 (+.f64 y z)) 4)))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 (+.f64 y z)))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (.f64 (/.f64 1 (.f64 (sin.f64 (+.f64 y z)) 4)) 1))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (*.f64 1/4 (/.f64 1 (sin.f64 (+.f64 y z)))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(*.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (cos.f64 (+.f64 y z)))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (neg.f64 (cos.f64 (+.f64 y z))) (.f64 -1 (/.f64 1 (sin.f64 (+.f64 y z)))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(*.f64 (neg.f64 (cos.f64 (+.f64 y z))) (/.f64 -1 (sin.f64 (+.f64 y z))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (neg.f64 (cos.f64 (+.f64 y z))) (.f64 (/.f64 -1 (sin.f64 (+.f64 y z))) 1))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 1/2 (.f64 (cos.f64 (+.f64 y z)) (/.f64 2 (sin.f64 (+.f64 y z)))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (/.f64 1/2 (sin.f64 (+.f64 y z))) (.f64 (cos.f64 (+.f64 y z)) 2))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (.f64 (/.f64 1 (sin.f64 (+.f64 y z))) 1/2) (*.f64 (cos.f64 (+.f64 y z)) 2))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))) -1)
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(*.f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) 2) (sin.f64 (+.f64 y z))) 2)
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(.f64 (/.f64 1 (.f64 (sin.f64 (+.f64 y z)) 4)) (*.f64 (cos.f64 (+.f64 y z)) 4))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(*.f64 (/.f64 -1 (sin.f64 (+.f64 y z))) (neg.f64 (cos.f64 (+.f64 y z))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(pow.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 1)
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))
(neg.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (neg.f64 (+.f64 y z)))))
(/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))

eval671.0ms (1.4%)

Compiler: Compiled 65685 to 23448 computations (64.3% saved)

prune865.0ms (1.8%)

Pruning

56 alts after pruning (53 fresh and 3 done)

	Pruned	Kept	Total
New	1822	23	1845
Fresh	4	30	34
Picked	1	0	1
Done	5	3	8
Total	1832	56	1888

Error

11.0b

Counts

1888 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	59.9b	(/.f64 (sin.f64 y) (cos.f64 y))
	59.7b	(/.f64 (sin.f64 a) (neg.f64 (cos.f64 a)))
	25.4b	(-.f64 (+.f64 x (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 1 (tan.f64 a)))) 1)
	31.5b	(-.f64 (+.f64 x (+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))))) (-.f64 1 (tan.f64 a)))) 1)
	35.9b	(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 a))) 1)
	29.8b	(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) 1)) 1)
	37.6b	(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
	42.6b	(+.f64 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (cos.f64 (+.f64 z y))) x)
	43.3b	(+.f64 (/.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 z) (pow.f64 y 2))) (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z)))) (cos.f64 (+.f64 z y))) x)
	42.9b	(+.f64 (/.f64 (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z))) (cos.f64 (+.f64 z y))) x)
	36.6b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (+.f64 (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y)))) x)
	36.3b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (+.f64 (cos.f64 y) (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (cos.f64 y) (*.f64 -1/2 (pow.f64 z 2)))))) x)
	36.2b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) x)
▶	36.7b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x)
	36.3b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 y)) x)
	37.0b	(+.f64 (/.f64 (sin.f64 z) (cos.f64 (+.f64 z y))) x)
▶	24.9b	(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
	36.9b	(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x)
	36.5b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 (+.f64 z y))) x)
	42.7b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y))) (+.f64 (*.f64 z (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) x)))
	42.1b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (*.f64 z (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) x))
✓	36.5b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)
	43.1b	(+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (*.f64 y (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))) x)
	42.7b	(+.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y))))) x)
	12.6b	(+.f64 (+.f64 (-.f64 1 (tan.f64 a)) x) (+.f64 (tan.f64 (+.f64 y z)) -1))
	50.4b	(+.f64 (+.f64 (*.f64 1/3 (pow.f64 y 3)) y) x)
	12.6b	(+.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (tan.f64 (neg.f64 a)))
▶	12.5b	(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (tan.f64 (+.f64 y z)))
	31.5b	(+.f64 (.f64 (pow.f64 y 3) (neg.f64 (+.f64 (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) 1/6)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (*.f64 (sin.f64 z) (/.f64 (pow.f64 y 2) (cos.f64 z))))) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))))
	29.8b	(+.f64 (.f64 (+.f64 (-.f64 1 (neg.f64 (cos.f64 (+.f64 y z)))) -1) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 (+.f64 y z))))) x)
	32.1b	(+.f64 (.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))))) (neg.f64 (pow.f64 z 3))) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 (*.f64 (sin.f64 y) (/.f64 (pow.f64 z 2) (cos.f64 y))) z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))))
	36.3b	(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) x)
	43.0b	(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 z)))) x)
▶	41.6b	(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)))) x)
	36.9b	(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 z) (sin.f64 z)) (sin.f64 (+.f64 y z))))) x)
	43.2b	(+.f64 (*.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (neg.f64 (cos.f64 (+.f64 y (-.f64 z (PI.f64))))))) x)
	37.0b	(+.f64 (.f64 (cos.f64 z) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 (+.f64 y z))))) x)
	36.5b	(+.f64 (.f64 (cos.f64 y) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 (+.f64 y z))))) x)
	43.1b	(+.f64 (*.f64 y (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x))
	44.3b	(+.f64 y (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
▶	50.0b	(+.f64 y x)
	24.9b	(+.f64 x (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (tan.f64 a)))
	25.4b	(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (tan.f64 a)))
	31.4b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))))) (tan.f64 a)))
	31.2b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) y)) (tan.f64 a)))
	31.8b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y))))) (tan.f64 a)))
	31.2b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))) (tan.f64 a)))
✓	12.5b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
	12.6b	(+.f64 x (-.f64 1 (-.f64 (+.f64 (tan.f64 a) (neg.f64 (+.f64 (tan.f64 (+.f64 z y)) -2))) 1)))
	31.2b	(+.f64 x (-.f64 1 (+.f64 (tan.f64 a) (+.f64 (-.f64 1 (/.f64 (sin.f64 y) (cos.f64 y))) (*.f64 z (-.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))))))
	31.4b	(+.f64 x (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) 1) -1)) (/.f64 (sin.f64 a) (cos.f64 a)))))
	31.4b	(+.f64 x (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 z (/.f64 (sin.f64 a) (cos.f64 a)))))
	31.2b	(+.f64 x (+.f64 (+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y))))) (-.f64 (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1)) (/.f64 (sin.f64 a) (cos.f64 a)))))
✓	12.6b	(+.f64 x (+.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2))))
	12.6b	(+.f64 x (+.f64 -2 (+.f64 (-.f64 (-.f64 (tan.f64 (+.f64 y z)) -3) (tan.f64 a)) -1)))
	43.6b	x

Compiler

Compiled 2692 to 1738 computations (35.4% saved)

localize94.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 x (tan.f64 (neg.f64 a)))
✓	0.1b	(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (tan.f64 (+.f64 y z)))
	3.5b	(tan.f64 (+.f64 y z))

Compiler

Compiled 35 to 10 computations (71.4% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (tan.f64 (+.f64 y z)))
1.0ms	x	@	0	(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (tan.f64 (+.f64 y z)))
1.0ms	z	@	inf	(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (tan.f64 (+.f64 y z)))
1.0ms	a	@	inf	(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (tan.f64 (+.f64 y z)))
0.0ms	y	@	0	(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (tan.f64 (+.f64 y z)))

rewrite198.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`rational.json-simplify-51`
1456×	`rational.json-simplify-35`
1398×	`exponential.json-3`
1398×	`rational.json-1`
1398×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	95	46
2	235	46
3	533	46
4	1203	46
5	2576	46
6	4089	46
7	5483	46
8	6555	46
9	6860	46
10	7192	46

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (tan.f64 (+.f64 y z)))
(+.f64 x (tan.f64 (neg.f64 a)))

Outputs

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

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

simplify334.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1750×	`rational.json-simplify-35`
1226×	`rational.json-simplify-1`
820×	`rational.json-simplify-2`
726×	`rational.json-simplify-26`
720×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	247	5571
1	582	5503
2	1291	5419
3	2965	5215
4	4542	5215
5	5260	5215
6	6724	5215
7	7985	5215

Stop Event

1×	node limit

Counts

129 → 138

Calls

Call 1

Inputs
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
x
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
x
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (*.f64 -1 a) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (.f64 -1 a) x)))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (*.f64 -1 a) x))))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (.f64 -1 a)) (cos.f64 (.f64 -1 a))) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (.f64 -1 a)) (cos.f64 (.f64 -1 a))) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (.f64 -1 a)) (cos.f64 (.f64 -1 a))) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (.f64 -1 a)) (cos.f64 (.f64 -1 a))) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (*.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (pow.f64 (sin.f64 z) 2)) (pow.f64 (cos.f64 z) 2))) (+.f64 1/6 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)))))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 (-.f64 z (.f64 -1 y))) (cos.f64 (-.f64 z (.f64 -1 y)))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))))
(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 (pow.f64 z 2) (sin.f64 y))) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) z) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (+.f64 1/6 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 2))) (.f64 -1/2 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))))) (pow.f64 z 3))) x)))))
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x))
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x))
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x))
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) (+.f64 (/.f64 (sin.f64 (-.f64 y (.f64 -1 z))) (cos.f64 (-.f64 y (.f64 -1 z)))) x))
(/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a)))
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)
x
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)
x
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)
x
(+.f64 (*.f64 -1 a) x)
(+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (.f64 -1 a) x))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (*.f64 -1 a) x)))
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)
(+.f64 (/.f64 (sin.f64 (.f64 -1 a)) (cos.f64 (.f64 -1 a))) x)
(+.f64 (/.f64 (sin.f64 (.f64 -1 a)) (cos.f64 (.f64 -1 a))) x)
(+.f64 (/.f64 (sin.f64 (.f64 -1 a)) (cos.f64 (.f64 -1 a))) x)
(+.f64 (/.f64 (sin.f64 (.f64 -1 a)) (cos.f64 (.f64 -1 a))) x)
(-.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 0)
(-.f64 (+.f64 (tan.f64 (+.f64 y z)) (+.f64 x (-.f64 1 (tan.f64 a)))) 1)
(-.f64 (+.f64 (-.f64 1 (tan.f64 a)) (+.f64 x (tan.f64 (+.f64 y z)))) 1)
(*.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 1)
(*.f64 1 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))))
(.f64 2 (.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 1/2))
(.f64 2 (+.f64 (.f64 (tan.f64 (+.f64 y z)) 1/2) (*.f64 (+.f64 x (neg.f64 (tan.f64 a))) 1/2)))
(.f64 2 (+.f64 (.f64 (+.f64 x (neg.f64 (tan.f64 a))) 1/2) (*.f64 (tan.f64 (+.f64 y z)) 1/2)))
(.f64 (.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 4))
(*.f64 4 (+.f64 (/.f64 (tan.f64 (+.f64 y z)) 4) (/.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4)))
(*.f64 4 (+.f64 (/.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4) (/.f64 (tan.f64 (+.f64 y z)) 4)))
(.f64 (.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 2))
(.f64 1/2 (+.f64 (.f64 (tan.f64 (+.f64 y z)) 2) (*.f64 (+.f64 x (neg.f64 (tan.f64 a))) 2)))
(.f64 1/2 (+.f64 (.f64 (+.f64 x (neg.f64 (tan.f64 a))) 2) (*.f64 (tan.f64 (+.f64 y z)) 2)))
(.f64 (.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 4))
(.f64 1/4 (+.f64 (.f64 (tan.f64 (+.f64 y z)) 4) (*.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4)))
(.f64 1/4 (+.f64 (.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4) (*.f64 (tan.f64 (+.f64 y z)) 4)))
(*.f64 (/.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 4) 4)
(/.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 1)
(/.f64 (*.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 2) 2)
(/.f64 (*.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 4) 4)
(/.f64 (*.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 8) 8)
(/.f64 (.f64 (.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 4) 4) 16)
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 4) 4)) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 4) 4))) 64)
(pow.f64 (+.f64 x (+.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 y z)))) 1)
(-.f64 (+.f64 x (neg.f64 (tan.f64 a))) 0)
(-.f64 (+.f64 x (-.f64 1 (tan.f64 a))) 1)
(*.f64 (+.f64 x (neg.f64 (tan.f64 a))) 1)
(*.f64 1 (+.f64 x (neg.f64 (tan.f64 a))))
(.f64 2 (.f64 (+.f64 x (neg.f64 (tan.f64 a))) 1/2))
(.f64 2 (+.f64 (.f64 (tan.f64 a) -1/2) (*.f64 x 1/2)))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 (tan.f64 a) -1/2)))
(.f64 (.f64 (+.f64 x (neg.f64 (tan.f64 a))) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4))
(*.f64 4 (+.f64 (/.f64 (tan.f64 a) -4) (/.f64 x 4)))
(*.f64 4 (+.f64 (/.f64 x 4) (/.f64 (tan.f64 a) -4)))
(.f64 (.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 x (neg.f64 (tan.f64 a))) 2))
(.f64 1/2 (+.f64 (.f64 (tan.f64 a) -2) (+.f64 x x)))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 (tan.f64 a) -2)))
(.f64 (.f64 (+.f64 x (neg.f64 (tan.f64 a))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4))
(.f64 1/4 (+.f64 (.f64 (tan.f64 a) -4) (*.f64 x 4)))
(.f64 1/4 (+.f64 (.f64 x 4) (*.f64 (tan.f64 a) -4)))
(*.f64 (/.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4) 4)
(/.f64 (+.f64 x (neg.f64 (tan.f64 a))) 1)
(/.f64 (*.f64 (+.f64 x (neg.f64 (tan.f64 a))) 2) 2)
(/.f64 (*.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4) 4)
(/.f64 (*.f64 (+.f64 x (neg.f64 (tan.f64 a))) 8) 8)
(/.f64 (.f64 (.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4) 4) 16)
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4) 4)) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4) 4))) 64)
(pow.f64 (+.f64 x (neg.f64 (tan.f64 a))) 1)

Outputs
(+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
x
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
x
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (*.f64 -1 a) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 x (neg.f64 a)))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (.f64 -1 a) x)))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (neg.f64 a) (+.f64 x (*.f64 -1/3 (pow.f64 a 3)))))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 x (+.f64 (*.f64 -1/3 (pow.f64 a 3)) (neg.f64 a))))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (*.f64 -1 a) x))))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (+.f64 x (neg.f64 a)) (.f64 -2/15 (pow.f64 a 5)))))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (neg.f64 a) (+.f64 (+.f64 x (.f64 -1/3 (pow.f64 a 3))) (.f64 -2/15 (pow.f64 a 5)))))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (neg.f64 a) (+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 x (.f64 -1/3 (pow.f64 a 3))))))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (.f64 -1 a)) (cos.f64 (.f64 -1 a))) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (.f64 -1 a)) (cos.f64 (.f64 -1 a))) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (.f64 -1 a)) (cos.f64 (.f64 -1 a))) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 (.f64 -1 a)) (cos.f64 (.f64 -1 a))) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))
(+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 x (/.f64 (sin.f64 z) (cos.f64 z))))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x)))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) x) (.f64 y (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) x) (*.f64 y (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))
(+.f64 x (+.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (/.f64 (sin.f64 z) (cos.f64 z))) (*.f64 y (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))
(+.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 x (/.f64 (sin.f64 z) (cos.f64 z)))) (*.f64 y (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1)))
(+.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 x (/.f64 (sin.f64 z) (cos.f64 z)))) (*.f64 y (+.f64 1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (*.f64 (sin.f64 z) (pow.f64 y 2))) (cos.f64 z)) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (/.f64 (sin.f64 (neg.f64 a)) (cos.f64 (neg.f64 a))) x))))
(+.f64 (.f64 y (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 x (/.f64 (sin.f64 z) (cos.f64 z)))) (.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (/.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (cos.f64 z)))))
(+.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (+.f64 x (/.f64 (sin.f64 z) (cos.f64 z)))) (+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))) (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))) (*.f64 y (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))
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(+.f64 x (neg.f64 (tan.f64 a)))
(/.f64 (.f64 (.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4) 4) 16)
(+.f64 x (neg.f64 (tan.f64 a)))
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4) 4)) 32)
(+.f64 x (neg.f64 (tan.f64 a)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x (neg.f64 (tan.f64 a))) 4) 4))) 64)
(+.f64 x (neg.f64 (tan.f64 a)))
(pow.f64 (+.f64 x (neg.f64 (tan.f64 a))) 1)
(+.f64 x (neg.f64 (tan.f64 a)))

localize4.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x)
✓	0.2b	(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z))
	3.6b	(sin.f64 (+.f64 z y))

Compiler

Compiled 32 to 9 computations (71.9% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z))
1.0ms	y	@	inf	(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z))
0.0ms	z	@	0	(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z))
0.0ms	z	@	-inf	(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z))
0.0ms	x	@	0	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x)

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1640×	`rational.json-1`
1640×	`rational.json-2`
1640×	`rational.json-4`
1640×	`rational.json-3`
1632×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	79	48
2	200	48
3	494	48
4	1284	48
5	4511	48

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

Inputs
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z))
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x)

Outputs

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

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

simplify138.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1162×	`rational.json-simplify-2`
1120×	`rational.json-simplify-1`
956×	`rational.json-simplify-55`
872×	`rational.json-simplify-51`
786×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	247	4267
1	529	4127
2	1244	4071
3	3893	3999
4	7749	3999

Stop Event

1×	node limit

Counts

155 → 163

Calls

Call 1

Inputs
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 y)) (.f64 -1/2 (cos.f64 y))) (pow.f64 z 3)) (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 y)) (.f64 -1/2 (cos.f64 y))) (pow.f64 z 3)) (+.f64 (sin.f64 y) (.f64 (pow.f64 z 5) (-.f64 (.f64 1/120 (cos.f64 y)) (+.f64 (.f64 -1/2 (-.f64 (.f64 -1/6 (cos.f64 y)) (.f64 -1/2 (cos.f64 y)))) (.f64 1/24 (cos.f64 y))))))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (*.f64 -1 z))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (*.f64 -1 z))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (*.f64 -1 z))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (*.f64 -1 z))) (cos.f64 z))
(/.f64 (sin.f64 z) (cos.f64 z))
(+.f64 y (/.f64 (sin.f64 z) (cos.f64 z)))
(+.f64 y (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z)))))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 -1/2 (/.f64 (*.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 z (*.f64 -1 y))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 z (*.f64 -1 y))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 z (*.f64 -1 y))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 z (*.f64 -1 y))) (cos.f64 z))
(+.f64 (sin.f64 y) x)
(+.f64 (*.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 y)) (.f64 -1/2 (cos.f64 y))) (pow.f64 z 3)) (+.f64 (sin.f64 y) x)))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 y)) (.f64 -1/2 (cos.f64 y))) (pow.f64 z 3)) (+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 z 5) (-.f64 (.f64 1/120 (cos.f64 y)) (+.f64 (.f64 -1/2 (-.f64 (.f64 -1/6 (cos.f64 y)) (.f64 -1/2 (cos.f64 y)))) (.f64 1/24 (cos.f64 y))))) x))))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (-.f64 y (*.f64 -1 z))) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (-.f64 y (*.f64 -1 z))) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (-.f64 y (*.f64 -1 z))) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (-.f64 y (*.f64 -1 z))) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x)
(+.f64 y (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x))
(+.f64 y (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))) x)))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (.f64 -1/2 (/.f64 (*.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))) x))))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (-.f64 z (*.f64 -1 y))) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (-.f64 z (*.f64 -1 y))) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (-.f64 z (*.f64 -1 y))) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (-.f64 z (*.f64 -1 y))) (cos.f64 z)) x)
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
x
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
x
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) 0)
(+.f64 0 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)))
(+.f64 (.f64 (sin.f64 (+.f64 z y)) (/.f64 1/2 (cos.f64 z))) (.f64 (sin.f64 (+.f64 z y)) (/.f64 1/2 (cos.f64 z))))
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) 0)
(*.f64 (sin.f64 (+.f64 z y)) (/.f64 1 (cos.f64 z)))
(.f64 (sin.f64 (+.f64 z y)) (.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 z)))))
(.f64 (sin.f64 (+.f64 z y)) (.f64 1/2 (/.f64 2 (cos.f64 z))))
(.f64 (cos.f64 z) (/.f64 (/.f64 1 (sin.f64 (+.f64 z y))) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))))
(*.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) 1)
(*.f64 1 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)))
(.f64 (.f64 (sin.f64 (+.f64 z y)) 2) (/.f64 1/2 (cos.f64 z)))
(*.f64 -1 (/.f64 (sin.f64 (+.f64 z y)) (neg.f64 (cos.f64 z))))
(.f64 -1 (/.f64 (.f64 (sin.f64 (+.f64 z y)) 2) (neg.f64 (*.f64 (cos.f64 z) 2))))
(.f64 2 (.f64 (sin.f64 (+.f64 z y)) (/.f64 1/2 (cos.f64 z))))
(.f64 (.f64 (sin.f64 (+.f64 z y)) (/.f64 2 (cos.f64 z))) 1/2)
(.f64 (.f64 (sin.f64 (+.f64 z y)) 4) (/.f64 1 (*.f64 (cos.f64 z) 4)))
(.f64 (.f64 (sin.f64 (+.f64 z y)) 4) (*.f64 (/.f64 1 (cos.f64 z)) 1/4))
(.f64 (.f64 (sin.f64 (+.f64 z y)) 4) (*.f64 (/.f64 1/2 (cos.f64 z)) 1/2))
(*.f64 (/.f64 1 (cos.f64 z)) (sin.f64 (+.f64 z y)))
(*.f64 (/.f64 1 (cos.f64 z)) (/.f64 1 (/.f64 1 (sin.f64 (+.f64 z y)))))
(*.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 -1 (cos.f64 z)))
(.f64 (neg.f64 (sin.f64 (+.f64 z y))) (.f64 -1 (/.f64 1 (cos.f64 z))))
(.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 1 (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))))
(.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 2 (.f64 2 (*.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y)))))))
(.f64 (/.f64 (cos.f64 z) (.f64 (sin.f64 (+.f64 z y)) 1/2)) (/.f64 1 (.f64 2 (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y)))))))
(.f64 (/.f64 (cos.f64 z) (.f64 (sin.f64 (+.f64 z y)) 1/2)) (/.f64 1/2 (*.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))))
(.f64 4 (/.f64 (sin.f64 (+.f64 z y)) (.f64 (cos.f64 z) 4)))
(*.f64 4 (/.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) 4))
(.f64 (/.f64 (.f64 (sin.f64 (+.f64 z y)) 4) (cos.f64 z)) 1/4)
(.f64 (.f64 (sin.f64 (+.f64 z y)) 8) (/.f64 1 (*.f64 (cos.f64 z) 8)))
(.f64 (/.f64 1/2 (cos.f64 z)) (.f64 (sin.f64 (+.f64 z y)) 2))
(.f64 1/2 (.f64 (sin.f64 (+.f64 z y)) (/.f64 2 (cos.f64 z))))
(.f64 (/.f64 1 (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))))
(.f64 (/.f64 1 (sin.f64 (+.f64 z y))) (/.f64 (.f64 (cos.f64 z) 2) (.f64 2 (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y)))))))
(.f64 (.f64 (sin.f64 (+.f64 z y)) -2) (/.f64 1/2 (neg.f64 (cos.f64 z))))
(.f64 (.f64 (sin.f64 (+.f64 z y)) -2) (/.f64 1 (*.f64 (cos.f64 z) -2)))
(.f64 (.f64 (sin.f64 (+.f64 z y)) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 z) 2))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 z))) (*.f64 (sin.f64 (+.f64 z y)) 1/2))
(*.f64 (/.f64 (sin.f64 (+.f64 z y)) (neg.f64 (cos.f64 z))) -1)
(.f64 (/.f64 2 (cos.f64 z)) (.f64 (sin.f64 (+.f64 z y)) 1/2))
(.f64 (/.f64 (.f64 (cos.f64 z) 1/2) (sin.f64 (+.f64 z y))) (/.f64 2 (*.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))))
(.f64 (/.f64 1/2 (sin.f64 (+.f64 z y))) (/.f64 (.f64 (cos.f64 z) 2) (*.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))))
(.f64 (.f64 (sin.f64 (+.f64 z y)) (/.f64 1/2 (cos.f64 z))) 2)
(.f64 (.f64 (sin.f64 (+.f64 z y)) 1/2) (*.f64 2 (/.f64 1 (cos.f64 z))))
(.f64 (.f64 (sin.f64 (+.f64 z y)) 1/2) (/.f64 2 (cos.f64 z)))
(.f64 1/4 (/.f64 (.f64 (sin.f64 (+.f64 z y)) 4) (cos.f64 z)))
(.f64 (/.f64 -1 (sin.f64 (+.f64 z y))) (/.f64 (neg.f64 (cos.f64 z)) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))))
(.f64 (/.f64 1 (.f64 (cos.f64 z) 4)) (*.f64 (sin.f64 (+.f64 z y)) 4))
(*.f64 (/.f64 -1 (cos.f64 z)) (neg.f64 (sin.f64 (+.f64 z y))))
(.f64 (/.f64 2 (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (.f64 2 (*.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y)))))))
(.f64 (.f64 (/.f64 1 (cos.f64 z)) 1/4) (*.f64 (sin.f64 (+.f64 z y)) 4))
(.f64 (.f64 -1 (/.f64 1 (cos.f64 z))) (neg.f64 (sin.f64 (+.f64 z y))))
(.f64 (.f64 (/.f64 1/2 (cos.f64 z)) 1/2) (*.f64 (sin.f64 (+.f64 z y)) 4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 z)))) (sin.f64 (+.f64 z y)))
(.f64 (.f64 1/2 (/.f64 2 (cos.f64 z))) (sin.f64 (+.f64 z y)))
(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))
(.f64 (/.f64 (.f64 (cos.f64 z) 2) (*.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (/.f64 1/2 (sin.f64 (+.f64 z y))))
(.f64 (/.f64 2 (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (/.f64 (*.f64 (cos.f64 z) 1/2) (sin.f64 (+.f64 z y))))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 (+.f64 z y)))) (/.f64 1 (cos.f64 z)))
(.f64 (/.f64 (cos.f64 z) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (/.f64 1 (sin.f64 (+.f64 z y))))
(.f64 (/.f64 (neg.f64 (cos.f64 z)) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (/.f64 -1 (sin.f64 (+.f64 z y))))
(.f64 (/.f64 (/.f64 1 (sin.f64 (+.f64 z y))) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (cos.f64 z))
(.f64 (/.f64 1 (.f64 2 (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y)))))) (/.f64 (cos.f64 z) (.f64 (sin.f64 (+.f64 z y)) 1/2)))
(.f64 (/.f64 (.f64 (cos.f64 z) 2) (.f64 2 (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y)))))) (/.f64 1 (sin.f64 (+.f64 z y))))
(.f64 (/.f64 2 (.f64 2 (*.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y)))))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))
(.f64 (/.f64 (.f64 (sin.f64 (+.f64 z y)) 2) (neg.f64 (*.f64 (cos.f64 z) 2))) -1)
(.f64 (/.f64 (sin.f64 (+.f64 z y)) (.f64 (cos.f64 z) 4)) 4)
(.f64 (/.f64 1/2 (neg.f64 (cos.f64 z))) (.f64 (sin.f64 (+.f64 z y)) -2))
(.f64 (/.f64 1/2 (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (/.f64 (cos.f64 z) (*.f64 (sin.f64 (+.f64 z y)) 1/2)))
(.f64 (/.f64 (cos.f64 z) (.f64 2 (*.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y)))))) (/.f64 2 (sin.f64 (+.f64 z y))))
(*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) 4) 4)
(.f64 (/.f64 1 (.f64 (cos.f64 z) 8)) (*.f64 (sin.f64 (+.f64 z y)) 8))
(.f64 (/.f64 1 (.f64 (cos.f64 z) -2)) (*.f64 (sin.f64 (+.f64 z y)) -2))
(.f64 (/.f64 1 (neg.f64 (.f64 (cos.f64 z) 2))) (*.f64 (sin.f64 (+.f64 z y)) -2))
(pow.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) 1)
(neg.f64 (/.f64 (sin.f64 (+.f64 z y)) (neg.f64 (cos.f64 z))))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 0)
(*.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 1)
(*.f64 1 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x))
(.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 1/2))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 2))
(.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 z y)) (/.f64 2 (cos.f64 z))) (+.f64 x x)))
(.f64 1/4 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 1/2) 2)
(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4) 4)
(.f64 (+.f64 (.f64 (sin.f64 (+.f64 z y)) (/.f64 2 (cos.f64 z))) (+.f64 x x)) 1/2)
(/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 1)
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 2) 2)
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4)) (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4))) 16)
(pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 1)

Outputs
(sin.f64 y)
(+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 y)) (.f64 -1/2 (cos.f64 y))) (pow.f64 z 3)) (sin.f64 y)))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) (.f64 (-.f64 (.f64 (cos.f64 y) -1/6) (.f64 (cos.f64 y) -1/2)) (pow.f64 z 3))))
(+.f64 (sin.f64 y) (+.f64 (.f64 (.f64 (cos.f64 y) 1/3) (pow.f64 z 3)) (*.f64 (cos.f64 y) z)))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) (.f64 (cos.f64 y) (*.f64 1/3 (pow.f64 z 3)))))
(+.f64 (sin.f64 y) (.f64 (cos.f64 y) (+.f64 z (.f64 (pow.f64 z 3) 1/3))))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (.f64 (-.f64 (.f64 -1/6 (cos.f64 y)) (.f64 -1/2 (cos.f64 y))) (pow.f64 z 3)) (+.f64 (sin.f64 y) (.f64 (pow.f64 z 5) (-.f64 (.f64 1/120 (cos.f64 y)) (+.f64 (.f64 -1/2 (-.f64 (.f64 -1/6 (cos.f64 y)) (.f64 -1/2 (cos.f64 y)))) (.f64 1/24 (cos.f64 y))))))))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 z 5) (-.f64 (.f64 (cos.f64 y) 1/120) (+.f64 (.f64 -1/2 (-.f64 (.f64 (cos.f64 y) -1/6) (.f64 (cos.f64 y) -1/2))) (.f64 (cos.f64 y) 1/24)))) (.f64 (-.f64 (.f64 (cos.f64 y) -1/6) (.f64 (cos.f64 y) -1/2)) (pow.f64 z 3)))))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) (+.f64 (.f64 (.f64 (cos.f64 y) 1/3) (pow.f64 z 3)) (.f64 (pow.f64 z 5) (-.f64 (.f64 (cos.f64 y) 1/120) (+.f64 (.f64 -1/2 (.f64 (cos.f64 y) 1/3)) (.f64 (cos.f64 y) 1/24)))))))
(+.f64 (.f64 (cos.f64 y) z) (+.f64 (sin.f64 y) (+.f64 (.f64 (cos.f64 y) (.f64 1/3 (pow.f64 z 3))) (.f64 (pow.f64 z 5) (-.f64 (.f64 (cos.f64 y) 1/120) (+.f64 (.f64 (cos.f64 y) -1/6) (*.f64 (cos.f64 y) 1/24)))))))
(+.f64 (sin.f64 y) (+.f64 (.f64 (pow.f64 z 5) (-.f64 (.f64 (cos.f64 y) 1/120) (.f64 (cos.f64 y) -1/8))) (.f64 (cos.f64 y) (+.f64 z (*.f64 (pow.f64 z 3) 1/3)))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (*.f64 -1 z))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (*.f64 z -1))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (neg.f64 z))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (*.f64 -1 z))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (*.f64 z -1))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (neg.f64 z))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (*.f64 -1 z))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (*.f64 z -1))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (neg.f64 z))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (*.f64 -1 z))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (*.f64 z -1))) (cos.f64 z))
(/.f64 (sin.f64 (-.f64 y (neg.f64 z))) (cos.f64 z))
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(.f64 (/.f64 1/2 (sin.f64 (+.f64 z y))) (/.f64 (.f64 (cos.f64 z) 2) (*.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (.f64 (sin.f64 (+.f64 z y)) (/.f64 1/2 (cos.f64 z))) 2)
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (.f64 (sin.f64 (+.f64 z y)) 1/2) (*.f64 2 (/.f64 1 (cos.f64 z))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (.f64 (sin.f64 (+.f64 z y)) 1/2) (/.f64 2 (cos.f64 z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 1/4 (/.f64 (.f64 (sin.f64 (+.f64 z y)) 4) (cos.f64 z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 -1 (sin.f64 (+.f64 z y))) (/.f64 (neg.f64 (cos.f64 z)) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))))
(.f64 (/.f64 -1 (sin.f64 (+.f64 y z))) (/.f64 (neg.f64 (cos.f64 z)) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 y z))))))
(/.f64 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (neg.f64 (cos.f64 z)))) (neg.f64 (sin.f64 (+.f64 y z))))
(/.f64 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 (sin.f64 (neg.f64 (+.f64 y z))) (cos.f64 z))) (sin.f64 (neg.f64 (+.f64 y z))))
(.f64 (/.f64 1 (.f64 (cos.f64 z) 4)) (*.f64 (sin.f64 (+.f64 z y)) 4))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(*.f64 (/.f64 -1 (cos.f64 z)) (neg.f64 (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 2 (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (.f64 2 (*.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y)))))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (.f64 (/.f64 1 (cos.f64 z)) 1/4) (*.f64 (sin.f64 (+.f64 z y)) 4))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (.f64 -1 (/.f64 1 (cos.f64 z))) (neg.f64 (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (.f64 (/.f64 1/2 (cos.f64 z)) 1/2) (*.f64 (sin.f64 (+.f64 z y)) 4))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 z)))) (sin.f64 (+.f64 z y)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (.f64 1/2 (/.f64 2 (cos.f64 z))) (sin.f64 (+.f64 z y)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 1 (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 (.f64 (cos.f64 z) 2) (*.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (/.f64 1/2 (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 2 (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (/.f64 (*.f64 (cos.f64 z) 1/2) (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 (+.f64 z y)))) (/.f64 1 (cos.f64 z)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 (cos.f64 z) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (/.f64 1 (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 (neg.f64 (cos.f64 z)) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (/.f64 -1 (sin.f64 (+.f64 z y))))
(.f64 (/.f64 -1 (sin.f64 (+.f64 y z))) (/.f64 (neg.f64 (cos.f64 z)) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 y z))))))
(/.f64 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (neg.f64 (cos.f64 z)))) (neg.f64 (sin.f64 (+.f64 y z))))
(/.f64 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 (sin.f64 (neg.f64 (+.f64 y z))) (cos.f64 z))) (sin.f64 (neg.f64 (+.f64 y z))))
(.f64 (/.f64 (/.f64 1 (sin.f64 (+.f64 z y))) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (cos.f64 z))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 1 (.f64 2 (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y)))))) (/.f64 (cos.f64 z) (.f64 (sin.f64 (+.f64 z y)) 1/2)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 (.f64 (cos.f64 z) 2) (.f64 2 (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y)))))) (/.f64 1 (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 2 (.f64 2 (*.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y)))))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 (.f64 (sin.f64 (+.f64 z y)) 2) (neg.f64 (*.f64 (cos.f64 z) 2))) -1)
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 (sin.f64 (+.f64 z y)) (.f64 (cos.f64 z) 4)) 4)
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 1/2 (neg.f64 (cos.f64 z))) (.f64 (sin.f64 (+.f64 z y)) -2))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 1/2 (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (/.f64 (cos.f64 z) (*.f64 (sin.f64 (+.f64 z y)) 1/2)))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 (cos.f64 z) (.f64 2 (*.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y)))))) (/.f64 2 (sin.f64 (+.f64 z y))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) 4) 4)
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 1 (.f64 (cos.f64 z) 8)) (*.f64 (sin.f64 (+.f64 z y)) 8))
(.f64 (sin.f64 (+.f64 y z)) (.f64 8 (/.f64 1 (*.f64 (cos.f64 z) 8))))
(.f64 8 (.f64 (/.f64 1/8 (cos.f64 z)) (sin.f64 (+.f64 y z))))
(.f64 (sin.f64 (+.f64 y z)) (.f64 8 (/.f64 1/8 (cos.f64 z))))
(.f64 8 (/.f64 (sin.f64 (+.f64 y z)) (.f64 (cos.f64 z) 8)))
(.f64 (/.f64 1 (.f64 (cos.f64 z) -2)) (*.f64 (sin.f64 (+.f64 z y)) -2))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(.f64 (/.f64 1 (neg.f64 (.f64 (cos.f64 z) 2))) (*.f64 (sin.f64 (+.f64 z y)) -2))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(pow.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) 1)
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(neg.f64 (/.f64 (sin.f64 (+.f64 z y)) (neg.f64 (cos.f64 z))))
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z))
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 0)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(*.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 1)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(*.f64 1 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x))
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 1/2))
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 2) 1/2)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(*.f64 4 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4))
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4) 1/4)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(.f64 1/2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 2))
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(.f64 1/2 (+.f64 (.f64 (sin.f64 (+.f64 z y)) (/.f64 2 (cos.f64 z))) (+.f64 x x)))
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(.f64 1/4 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4))
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 1/2) 2)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4) 4)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(.f64 (+.f64 (.f64 (sin.f64 (+.f64 z y)) (/.f64 2 (cos.f64 z))) (+.f64 x x)) 1/2)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 1)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 2) 2)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4) 4)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4)) 8)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4)) (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 4))) 16)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))
(pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x) 1)
(+.f64 x (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 z)))

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
✓	0.1b	(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
	0.1b	(/.f64 (sin.f64 a) (cos.f64 a))
✓	0.2b	(/.f64 (sin.f64 z) (cos.f64 z))

Compiler

Compiled 45 to 12 computations (73.3% saved)

series4.0ms (0%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
1.0ms	x	@	0	(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
0.0ms	z	@	inf	(/.f64 (sin.f64 z) (cos.f64 z))
0.0ms	z	@	-inf	(/.f64 (sin.f64 z) (cos.f64 z))
0.0ms	z	@	0	(/.f64 (sin.f64 z) (cos.f64 z))

rewrite90.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`rational.json-simplify-35`
822×	`rational.json-simplify-61`
652×	`rational.json-simplify-46`
650×	`rational.json-simplify-55`
622×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	103	56
2	279	56
3	731	56
4	1979	56
5	5982	56

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(/.f64 (sin.f64 z) (cos.f64 z))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))

Outputs

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

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

simplify295.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1340×	`rational.json-simplify-2`
1008×	`rational.json-simplify-1`
934×	`rational.json-simplify-53`
928×	`rational.json-simplify-35`
922×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	184	2938
1	409	2930
2	820	2930
3	1791	2930
4	3520	2930
5	6203	2930
6	7942	2930

Stop Event

1×	node limit

Counts

106 → 113

Calls

Call 1

Inputs
z
(+.f64 (*.f64 1/3 (pow.f64 z 3)) z)
(+.f64 (.f64 1/3 (pow.f64 z 3)) (+.f64 (.f64 2/15 (pow.f64 z 5)) z))
(+.f64 (.f64 1/3 (pow.f64 z 3)) (+.f64 (.f64 2/15 (pow.f64 z 5)) (+.f64 z (*.f64 17/315 (pow.f64 z 7)))))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 z x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (*.f64 1/3 (pow.f64 z 3)) (+.f64 z x)) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (.f64 2/15 (pow.f64 z 5)) (+.f64 (.f64 1/3 (pow.f64 z 3)) (+.f64 z x))) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
x
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
x
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (*.f64 -1 a) x))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (.f64 -1 a) x)))
(+.f64 (.f64 -2/15 (pow.f64 a 5)) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (.f64 -1/3 (pow.f64 a 3)) (+.f64 (*.f64 -1 a) x))))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) 0)
(+.f64 0 (/.f64 (sin.f64 z) (cos.f64 z)))
(+.f64 -1 (-.f64 1 (/.f64 (sin.f64 z) (neg.f64 (cos.f64 z)))))
(+.f64 (.f64 (/.f64 1/2 (cos.f64 z)) (sin.f64 z)) (.f64 (/.f64 1/2 (cos.f64 z)) (sin.f64 z)))
(-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) 0)
(-.f64 0 (/.f64 (sin.f64 z) (neg.f64 (cos.f64 z))))
(*.f64 (sin.f64 z) (/.f64 1 (cos.f64 z)))
(.f64 (sin.f64 z) (.f64 (*.f64 2 (/.f64 1 (cos.f64 z))) 1/2))
(.f64 (sin.f64 z) (.f64 (/.f64 2 (cos.f64 z)) 1/2))
(*.f64 (/.f64 (sin.f64 z) (cos.f64 z)) 1)
(*.f64 1 (/.f64 (sin.f64 z) (cos.f64 z)))
(.f64 (.f64 (sin.f64 z) 2) (/.f64 1/2 (cos.f64 z)))
(.f64 (.f64 (sin.f64 z) 2) (*.f64 (/.f64 1 (cos.f64 z)) 1/2))
(.f64 (.f64 (sin.f64 z) 2) (.f64 (.f64 (/.f64 1 (cos.f64 z)) 1/2) 1))
(*.f64 -1 (/.f64 (sin.f64 z) (neg.f64 (cos.f64 z))))
(.f64 -1 (.f64 (/.f64 (sin.f64 z) (neg.f64 (cos.f64 z))) 1))
(.f64 2 (.f64 (/.f64 1/2 (cos.f64 z)) (sin.f64 z)))
(.f64 2 (.f64 (*.f64 (/.f64 1/2 (cos.f64 z)) (sin.f64 z)) 1))
(.f64 2 (.f64 (/.f64 (sin.f64 z) 2) (/.f64 1 (cos.f64 z))))
(.f64 2 (.f64 (/.f64 (sin.f64 z) (cos.f64 z)) 1/2))
(.f64 2 (.f64 (sin.f64 z) (/.f64 1/2 (cos.f64 z))))
(.f64 2 (.f64 (*.f64 (/.f64 1 (cos.f64 z)) 1/2) (sin.f64 z)))
(.f64 2 (.f64 (/.f64 (/.f64 1/2 (cos.f64 z)) 2) (*.f64 (sin.f64 z) 2)))
(*.f64 (/.f64 (sin.f64 z) (/.f64 (cos.f64 z) 2)) 1/2)
(.f64 (.f64 (sin.f64 z) 4) (/.f64 (/.f64 1/2 (cos.f64 z)) 2))
(.f64 (.f64 (sin.f64 z) 4) (*.f64 (/.f64 (/.f64 1/2 (cos.f64 z)) 2) 1))
(.f64 (.f64 (sin.f64 z) 4) (*.f64 1/4 (/.f64 1 (cos.f64 z))))
(.f64 (.f64 (sin.f64 z) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 z))))
(*.f64 (/.f64 1 (cos.f64 z)) (sin.f64 z))
(*.f64 (neg.f64 (sin.f64 z)) (/.f64 -1 (cos.f64 z)))
(.f64 (neg.f64 (sin.f64 z)) (.f64 (/.f64 -1 (cos.f64 z)) 1))
(.f64 (neg.f64 (sin.f64 z)) (.f64 -1 (/.f64 1 (cos.f64 z))))
(.f64 4 (.f64 (/.f64 (sin.f64 z) 2) (/.f64 1/2 (cos.f64 z))))
(.f64 4 (.f64 (*.f64 (/.f64 (sin.f64 z) 2) 1) (/.f64 1/2 (cos.f64 z))))
(.f64 4 (.f64 (*.f64 (sin.f64 z) 1/2) (/.f64 1/2 (cos.f64 z))))
(.f64 -2 (.f64 (neg.f64 (sin.f64 z)) (/.f64 1/2 (cos.f64 z))))
(.f64 (.f64 (sin.f64 z) 8) (*.f64 1/4 (/.f64 1/2 (cos.f64 z))))
(*.f64 1/2 (/.f64 (sin.f64 z) (/.f64 (cos.f64 z) 2)))
(.f64 (/.f64 1/2 (cos.f64 z)) (.f64 (sin.f64 z) 2))
(.f64 (.f64 (sin.f64 z) -2) (*.f64 -1 (/.f64 1/2 (cos.f64 z))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 z))) (*.f64 1/2 (sin.f64 z)))
(.f64 (.f64 (/.f64 1 (cos.f64 z)) 1/2) (*.f64 (sin.f64 z) 2))
(*.f64 (/.f64 (sin.f64 z) (neg.f64 (cos.f64 z))) -1)
(.f64 (.f64 (/.f64 1/2 (cos.f64 z)) (sin.f64 z)) 2)
(.f64 (/.f64 (/.f64 1/2 (cos.f64 z)) 2) (.f64 (sin.f64 z) 4))
(*.f64 (/.f64 -1 (cos.f64 z)) (neg.f64 (sin.f64 z)))
(.f64 (+.f64 (.f64 (/.f64 1 (cos.f64 z)) 1/2) (*.f64 (/.f64 1 (cos.f64 z)) 1/2)) (sin.f64 z))
(.f64 (+.f64 (/.f64 (/.f64 1/2 (cos.f64 z)) 2) (/.f64 (/.f64 1/2 (cos.f64 z)) 2)) (.f64 (sin.f64 z) 2))
(pow.f64 (/.f64 (sin.f64 z) (cos.f64 z)) 1)
(neg.f64 (/.f64 (sin.f64 z) (neg.f64 (cos.f64 z))))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 0)
(*.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 1)
(*.f64 1 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))))
(*.f64 -1 (+.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) (/.f64 (sin.f64 z) (neg.f64 (cos.f64 z)))))
(*.f64 2 (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2))
(.f64 2 (.f64 (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 1))
(.f64 (.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2))
(.f64 1/2 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -2) (/.f64 (sin.f64 z) (/.f64 (cos.f64 z) 2))))
(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 2)
(/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 1)
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 2)
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 4))) 16)
(pow.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 1)

Outputs
z
(+.f64 (*.f64 1/3 (pow.f64 z 3)) z)
(+.f64 z (*.f64 1/3 (pow.f64 z 3)))
(+.f64 (.f64 1/3 (pow.f64 z 3)) (+.f64 (.f64 2/15 (pow.f64 z 5)) z))
(+.f64 (.f64 1/3 (pow.f64 z 3)) (+.f64 z (.f64 2/15 (pow.f64 z 5))))
(+.f64 (.f64 1/3 (pow.f64 z 3)) (+.f64 (.f64 2/15 (pow.f64 z 5)) (+.f64 z (*.f64 17/315 (pow.f64 z 7)))))
(+.f64 (.f64 2/15 (pow.f64 z 5)) (+.f64 (+.f64 z (.f64 17/315 (pow.f64 z 7))) (*.f64 1/3 (pow.f64 z 3))))
(+.f64 z (+.f64 (.f64 1/3 (pow.f64 z 3)) (+.f64 (.f64 2/15 (pow.f64 z 5)) (*.f64 17/315 (pow.f64 z 7)))))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(-.f64 (+.f64 z x) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 z (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 z (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 (*.f64 1/3 (pow.f64 z 3)) (+.f64 z x)) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (+.f64 z x) (-.f64 (*.f64 1/3 (pow.f64 z 3)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 z (+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (*.f64 1/3 (pow.f64 z 3))))
(+.f64 (*.f64 1/3 (pow.f64 z 3)) (+.f64 z (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 z (-.f64 (+.f64 (*.f64 1/3 (pow.f64 z 3)) x) (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 (.f64 2/15 (pow.f64 z 5)) (+.f64 (.f64 1/3 (pow.f64 z 3)) (+.f64 z x))) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (+.f64 z (+.f64 x (.f64 1/3 (pow.f64 z 3)))) (-.f64 (.f64 2/15 (pow.f64 z 5)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (.f64 2/15 (pow.f64 z 5)) (+.f64 (+.f64 z x) (-.f64 (.f64 1/3 (pow.f64 z 3)) (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 (.f64 1/3 (pow.f64 z 3)) (+.f64 (+.f64 z (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) (.f64 2/15 (pow.f64 z 5))))
(+.f64 z (+.f64 (+.f64 (.f64 2/15 (pow.f64 z 5)) x) (-.f64 (.f64 1/3 (pow.f64 z 3)) (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 (+.f64 z (.f64 2/15 (pow.f64 z 5))) (-.f64 (+.f64 (.f64 1/3 (pow.f64 z 3)) x) (/.f64 (sin.f64 a) (cos.f64 a))))
(-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a))))
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(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 z) (cos.f64 z)))
(.f64 1/2 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) -2) (/.f64 (sin.f64 z) (/.f64 (cos.f64 z) 2))))
(.f64 1/2 (+.f64 (/.f64 (sin.f64 z) (/.f64 (cos.f64 z) 2)) (.f64 -2 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x))))
(.f64 1/2 (+.f64 (.f64 -2 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (*.f64 (sin.f64 z) (/.f64 2 (cos.f64 z)))))
(*.f64 (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 2)
(+.f64 x (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 z) (cos.f64 z)))
(/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 1)
(+.f64 x (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 z) (cos.f64 z)))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 2) 2)
(+.f64 x (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 z) (cos.f64 z)))
(/.f64 (*.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 4) 4)
(+.f64 x (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 z) (cos.f64 z)))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 4)) 8)
(+.f64 x (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 z) (cos.f64 z)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 4))) 16)
(+.f64 x (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 z) (cos.f64 z)))
(pow.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))) 1)
(+.f64 x (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (sin.f64 z) (cos.f64 z)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))
✓	0.4b	(*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y))
	3.6b	(sin.f64 (+.f64 y z))
	3.6b	(cos.f64 (+.f64 y z))

Compiler

Compiled 128 to 14 computations (89.1% saved)

series11.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y))
1.0ms	y	@	0	(*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y))
1.0ms	z	@	0	(*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y))
1.0ms	y	@	inf	(*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y))
1.0ms	z	@	-inf	(*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y))

rewrite100.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`rational.json-simplify-1`
726×	`rational.json-simplify-49`
702×	`rational.json-simplify-44`
634×	`rational.json-simplify-47`
588×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	81	37
2	211	37
3	529	37
4	1386	37
5	5529	37

Stop Event

1×	node limit

Counts

1 → 136

Calls

Call 1

Inputs
(*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (*.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z))))) (*.f64 (sin.f64 y) (*.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 y z)) (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 y z)) (*.f64 -1 (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (*.f64 (/.f64 1 (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (*.f64 1/2 (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 y z)) 2) (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (sin.f64 y))))))) 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(*.f64 (cos.f64 (+.f64 y z)) 4) (*.f64 2 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 y z)) 4) (*.f64 (*.f64 (sin.f64 (+.f64 y z)) 2) (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 y z)) 4) (*.f64 -4 (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 4 (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 2) (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (/.f64 (/.f64 1 (cos.f64 (+.f64 y z))) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (*.f64 (/.f64 1 (cos.f64 (+.f64 y z))) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 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(sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))) (*.f64 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (cos.f64 (+.f64 y z)))) (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 2 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) 4) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) 4) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))) (/.f64 2 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) 4) (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) 4))))) (#(struct:change #<rule 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z))) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) (neg.f64 (sin.f64 (+.f64 y z)))) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))))))))

simplify154.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1576×	`rational.json-simplify-35`
862×	`rational.json-simplify-51`
770×	`rational.json-simplify-1`
684×	`rational.json-simplify-61`
676×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	7506
1	1531	7446
2	5232	7394
3	7572	7394

Stop Event

1×	node limit

Counts

160 → 182

Calls

Call 1

Inputs
(/.f64 (*.f64 y (cos.f64 z)) (sin.f64 z))
(+.f64 (/.f64 (.f64 y (cos.f64 z)) (sin.f64 z)) (.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2))))))
(+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 -1/6 (/.f64 (cos.f64 z) (sin.f64 z))) (.f64 -1 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2))) (cos.f64 z)) (sin.f64 z))))) (+.f64 (/.f64 (.f64 y (cos.f64 z)) (sin.f64 z)) (.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2)))))))
(+.f64 (.f64 (pow.f64 y 4) (-.f64 1/3 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (cos.f64 z) (sin.f64 z))) (.f64 -1 (/.f64 (.f64 (cos.f64 z) (+.f64 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2)) 1)) (sin.f64 z)))) (cos.f64 z)) (sin.f64 z)) (+.f64 (.f64 1/2 (+.f64 1 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2)))) (.f64 -1/6 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2))))))) (+.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 -1/6 (/.f64 (cos.f64 z) (sin.f64 z))) (.f64 -1 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2))) (cos.f64 z)) (sin.f64 z))))) (+.f64 (/.f64 (.f64 y (cos.f64 z)) (sin.f64 z)) (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 1 (/.f64 (pow.f64 (cos.f64 z) 2) (pow.f64 (sin.f64 z) 2))))))))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(/.f64 (.f64 (cos.f64 (-.f64 z (.f64 -1 y))) (sin.f64 y)) (sin.f64 (-.f64 z (*.f64 -1 y))))
(/.f64 (.f64 (cos.f64 (-.f64 z (.f64 -1 y))) (sin.f64 y)) (sin.f64 (-.f64 z (*.f64 -1 y))))
(/.f64 (.f64 (cos.f64 (-.f64 z (.f64 -1 y))) (sin.f64 y)) (sin.f64 (-.f64 z (*.f64 -1 y))))
(/.f64 (.f64 (cos.f64 (-.f64 z (.f64 -1 y))) (sin.f64 y)) (sin.f64 (-.f64 z (*.f64 -1 y))))
(cos.f64 y)
(+.f64 (.f64 z (-.f64 (.f64 -1 (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)))) (cos.f64 y))
(+.f64 (.f64 z (-.f64 (.f64 -1 (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)))) (+.f64 (cos.f64 y) (.f64 -1 (/.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 z 2) (-.f64 (.f64 -1 (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))))) (sin.f64 y)))))
(+.f64 (.f64 (-.f64 (.f64 1/6 (sin.f64 y)) (+.f64 (.f64 -1/2 (-.f64 (.f64 -1 (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (cos.f64 y) 2) (-.f64 (.f64 -1 (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)))) (pow.f64 (sin.f64 y) 2))) (.f64 -1/6 (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)))))) (pow.f64 z 3)) (+.f64 (.f64 z (-.f64 (.f64 -1 (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y)))) (+.f64 (cos.f64 y) (.f64 -1 (/.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 z 2) (-.f64 (.f64 -1 (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))))) (sin.f64 y))))))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(/.f64 (.f64 (sin.f64 y) (cos.f64 (-.f64 y (.f64 -1 z)))) (sin.f64 (-.f64 y (*.f64 -1 z))))
(/.f64 (.f64 (sin.f64 y) (cos.f64 (-.f64 y (.f64 -1 z)))) (sin.f64 (-.f64 y (*.f64 -1 z))))
(/.f64 (.f64 (sin.f64 y) (cos.f64 (-.f64 y (.f64 -1 z)))) (sin.f64 (-.f64 y (*.f64 -1 z))))
(/.f64 (.f64 (sin.f64 y) (cos.f64 (-.f64 y (.f64 -1 z)))) (sin.f64 (-.f64 y (*.f64 -1 z))))
(+.f64 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)) 0)
(+.f64 0 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z))))) (.f64 (sin.f64 y) (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z))))))
(-.f64 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)) 0)
(/.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y)))
(/.f64 (cos.f64 (+.f64 y z)) (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y)) 1))
(/.f64 (cos.f64 (+.f64 y z)) (*.f64 -1 (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))))
(/.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (*.f64 (/.f64 1 (sin.f64 y)) 1))
(/.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (*.f64 1/2 (/.f64 2 (sin.f64 y))))
(/.f64 (sin.f64 y) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)) 1)
(/.f64 1 (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (sin.f64 y)))
(/.f64 1 (*.f64 (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (sin.f64 y)) 1))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) 2) (.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) 2) (.f64 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (sin.f64 y))) 1))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) 2) (.f64 -2 (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))))
(/.f64 -1 (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (neg.f64 (cos.f64 (+.f64 y z)))) (sin.f64 y)))
(/.f64 -1 (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (neg.f64 (cos.f64 (+.f64 y z)))) (/.f64 1 (sin.f64 y))))
(/.f64 2 (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 2 (sin.f64 y))))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (sin.f64 y))))
(/.f64 2 (.f64 (.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 2 (sin.f64 y))) 1))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y))) 2)
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (/.f64 2 (sin.f64 (+.f64 y z)))) (/.f64 2 (sin.f64 y)))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 2 (sin.f64 (+.f64 y z)))) (.f64 2 (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 2 (sin.f64 (+.f64 y z)))) (.f64 (/.f64 2 (sin.f64 y)) 1))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 (.f64 (sin.f64 (+.f64 y z)) 4) (sin.f64 y)))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (.f64 4 (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (.f64 (*.f64 (sin.f64 (+.f64 y z)) 4) (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (.f64 2 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (sin.f64 y)))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (.f64 (*.f64 (sin.f64 (+.f64 y z)) 2) (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (.f64 -4 (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 4 (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z)))))
(/.f64 (.f64 (sin.f64 y) 2) (.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))))
(/.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (/.f64 (/.f64 1 (cos.f64 (+.f64 y z))) (sin.f64 y)))
(/.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (*.f64 (/.f64 1 (cos.f64 (+.f64 y z))) (/.f64 1 (sin.f64 y))))
(/.f64 (neg.f64 (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y))))
(/.f64 (neg.f64 (cos.f64 (+.f64 y z))) (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y))) 1))
(/.f64 (neg.f64 (cos.f64 (+.f64 y z))) (/.f64 (neg.f64 (.f64 (sin.f64 (+.f64 y z)) 2)) (.f64 (sin.f64 y) 2)))
(/.f64 (neg.f64 (cos.f64 (+.f64 y z))) (/.f64 -1 (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z)))))
(/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (.f64 (sin.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (cos.f64 (+.f64 y z)))) (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))) (.f64 (.f64 2 (.f64 (sin.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (cos.f64 (+.f64 y z))))) (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))) (.f64 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (cos.f64 (+.f64 y z)))) (/.f64 2 (sin.f64 y))))
(/.f64 4 (.f64 2 (.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 2 (sin.f64 y)))))
(/.f64 4 (/.f64 (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) 4) (sin.f64 y)))
(/.f64 4 (.f64 (.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) 4) (/.f64 1 (sin.f64 y))))
(/.f64 4 (.f64 (.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))) (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) 4))
(/.f64 (.f64 (sin.f64 y) 4) (.f64 (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) 4) 1))
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 4) (/.f64 4 (sin.f64 y)))
(/.f64 (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 4) (.f64 4 (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 4) (.f64 2 (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) 8) (/.f64 (.f64 (sin.f64 (+.f64 y z)) 8) (sin.f64 y)))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) 8) (.f64 8 (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) 8) (.f64 (*.f64 (sin.f64 (+.f64 y z)) 8) (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) 8) (.f64 4 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (sin.f64 y)))))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y))) 4)
(/.f64 (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))) (/.f64 1 (cos.f64 (+.f64 y z))))
(/.f64 (/.f64 1/2 (sin.f64 (+.f64 y z))) (/.f64 (/.f64 1/2 (cos.f64 (+.f64 y z))) (sin.f64 y)))
(/.f64 1/2 (/.f64 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 1/2 (cos.f64 (+.f64 y z)))) (sin.f64 y)))
(/.f64 1/2 (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (*.f64 (sin.f64 y) 2)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z)))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (/.f64 (neg.f64 (.f64 (sin.f64 (+.f64 y z)) 2)) (sin.f64 y)))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (/.f64 (.f64 (sin.f64 (+.f64 y z)) -2) (sin.f64 y)))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (.f64 (*.f64 (sin.f64 (+.f64 y z)) -2) (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (.f64 (neg.f64 (*.f64 (sin.f64 (+.f64 y z)) 2)) (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 2 (sin.f64 y))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (.f64 2 (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))))
(/.f64 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (/.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)))
(/.f64 (.f64 2 (/.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y)))) 8)
(/.f64 (.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 4)) (*.f64 8 (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 2 (.f64 (cos.f64 (+.f64 y z)) 8)) (.f64 (.f64 2 (*.f64 (sin.f64 (+.f64 y z)) 8)) (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) (.f64 2 (.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) 4)))
(/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) (*.f64 8 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 1/2 (sin.f64 (+.f64 y z)))) (/.f64 1/2 (cos.f64 (+.f64 y z))))
(/.f64 (.f64 2 (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z)))) (.f64 2 (/.f64 1 (cos.f64 (+.f64 y z)))))
(/.f64 (.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) 4) (.f64 (.f64 2 (.f64 (sin.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (cos.f64 (+.f64 y z))))) (/.f64 2 (sin.f64 y))))
(/.f64 (/.f64 (cos.f64 (+.f64 y z)) (neg.f64 (sin.f64 (+.f64 y z)))) (/.f64 -1 (sin.f64 y)))
(/.f64 (/.f64 (cos.f64 (+.f64 y z)) (neg.f64 (sin.f64 (+.f64 y z)))) (*.f64 -1 (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z)))) (/.f64 1 (.f64 (sin.f64 y) 2)))
(/.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z)))) (.f64 1/2 (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 (sin.f64 y) 1/2) (.f64 (sin.f64 (+.f64 y z)) (/.f64 1/2 (cos.f64 (+.f64 y z)))))
(/.f64 (.f64 (sin.f64 y) (.f64 (cos.f64 (+.f64 y z)) (/.f64 1/2 (sin.f64 (+.f64 y z))))) 1/2)
(/.f64 (sin.f64 (neg.f64 y)) (/.f64 (sin.f64 (+.f64 y z)) (neg.f64 (cos.f64 (+.f64 y z)))))
(/.f64 (sin.f64 (neg.f64 y)) (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (neg.f64 (cos.f64 (+.f64 y z)))) 1))
(/.f64 (.f64 4 (neg.f64 (cos.f64 (+.f64 y z)))) (.f64 (.f64 2 (.f64 (sin.f64 (+.f64 y z)) -2)) (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 4 (neg.f64 (cos.f64 (+.f64 y z)))) (.f64 (.f64 2 (neg.f64 (.f64 (sin.f64 (+.f64 y z)) 2))) (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 4 (neg.f64 (cos.f64 (+.f64 y z)))) (.f64 (neg.f64 (*.f64 (sin.f64 (+.f64 y z)) 4)) (/.f64 1 (sin.f64 y))))
(/.f64 (.f64 4 (neg.f64 (cos.f64 (+.f64 y z)))) (.f64 4 (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))))
(/.f64 (.f64 2 (.f64 2 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y))))) 16)
(/.f64 (.f64 2 (sin.f64 (neg.f64 y))) (.f64 2 (/.f64 (sin.f64 (+.f64 y z)) (neg.f64 (cos.f64 (+.f64 y z))))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) 2) (sin.f64 (+.f64 y z))) (/.f64 2 (cos.f64 (+.f64 y z))))
(/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y))) -1)
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) 8) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y))) 8)
(/.f64 (/.f64 (cos.f64 (+.f64 y z)) (/.f64 1 (sin.f64 y))) (sin.f64 (+.f64 y z)))
(/.f64 (/.f64 1 (/.f64 1 (sin.f64 y))) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 1 (sin.f64 y))) (.f64 (sin.f64 (+.f64 y z)) 2))
(/.f64 (/.f64 -1 (/.f64 1 (sin.f64 y))) (/.f64 (sin.f64 (+.f64 y z)) (neg.f64 (cos.f64 (+.f64 y z)))))
(/.f64 (/.f64 2 (/.f64 1 (sin.f64 y))) (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))))
(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 1 (sin.f64 y))) (.f64 (sin.f64 (+.f64 y z)) 4))
(/.f64 (/.f64 (/.f64 1 (sin.f64 (+.f64 y z))) (/.f64 1 (sin.f64 y))) (/.f64 1 (cos.f64 (+.f64 y z))))
(/.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 y z))) (/.f64 1 (sin.f64 y))) (neg.f64 (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 1 (sin.f64 y))) (*.f64 (sin.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (cos.f64 (+.f64 y z)))))
(/.f64 (/.f64 (.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))) (/.f64 1 (sin.f64 y))) (.f64 2 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (cos.f64 (+.f64 y z))))))
(/.f64 (/.f64 4 (/.f64 1 (sin.f64 y))) (*.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) 4))
(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) 8) (/.f64 1 (sin.f64 y))) (.f64 (sin.f64 (+.f64 y z)) 8))
(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (/.f64 1 (sin.f64 y))) (.f64 (sin.f64 (+.f64 y z)) -2))
(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) -2) (/.f64 1 (sin.f64 y))) (neg.f64 (.f64 (sin.f64 (+.f64 y z)) 2)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) 4)) (/.f64 1 (sin.f64 y))) 8)
(/.f64 (/.f64 (.f64 2 (.f64 (cos.f64 (+.f64 y z)) 8)) (/.f64 1 (sin.f64 y))) (.f64 2 (.f64 (sin.f64 (+.f64 y z)) 8)))
(/.f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) (neg.f64 (sin.f64 (+.f64 y z)))) (/.f64 1 (sin.f64 y))) -1)
(/.f64 (/.f64 (.f64 4 (neg.f64 (cos.f64 (+.f64 y z)))) (/.f64 1 (sin.f64 y))) (.f64 2 (*.f64 (sin.f64 (+.f64 y z)) -2)))
(/.f64 (/.f64 (.f64 4 (neg.f64 (cos.f64 (+.f64 y z)))) (/.f64 1 (sin.f64 y))) (.f64 2 (neg.f64 (*.f64 (sin.f64 (+.f64 y z)) 2))))
(/.f64 (/.f64 (.f64 4 (neg.f64 (cos.f64 (+.f64 y z)))) (/.f64 1 (sin.f64 y))) (neg.f64 (.f64 (sin.f64 (+.f64 y z)) 4)))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) 8)
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 y))) (*.f64 (sin.f64 (+.f64 y z)) (/.f64 1/2 (cos.f64 (+.f64 y z)))))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 2 (sin.f64 y))) (sin.f64 (+.f64 y z)))
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 y))) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 2 (sin.f64 y))) (.f64 (sin.f64 (+.f64 y z)) 2))
(/.f64 (/.f64 (.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))) (/.f64 2 (sin.f64 y))) (.f64 (sin.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (cos.f64 (+.f64 y z)))))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 y))) (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) -2) (/.f64 2 (sin.f64 y))) (neg.f64 (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) 4) (/.f64 2 (sin.f64 y))) (.f64 2 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (cos.f64 (+.f64 y z))))))
(/.f64 (/.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))) -1)
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))) -2)
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))) 4)
(/.f64 (/.f64 (sin.f64 y) (/.f64 1 (cos.f64 (+.f64 y z)))) (sin.f64 (+.f64 y z)))
(/.f64 (/.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 (sin.f64 (+.f64 y z)))) (/.f64 -1 (cos.f64 (+.f64 y z))))
(/.f64 (neg.f64 (.f64 (sin.f64 y) 2)) (neg.f64 (.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z))))))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z)))) (/.f64 -1 (cos.f64 (+.f64 y z))))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)) 1)
(neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) (neg.f64 (sin.f64 (+.f64 y z)))) (/.f64 1 (sin.f64 y))))
(neg.f64 (/.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))))

Outputs
(/.f64 (*.f64 y (cos.f64 z)) (sin.f64 z))
(*.f64 (cos.f64 z) (/.f64 y (sin.f64 z)))
(*.f64 y (/.f64 (cos.f64 z) (sin.f64 z)))
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(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 y) 4)) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) 8)
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 1 (/.f64 2 (sin.f64 y))) (*.f64 (sin.f64 (+.f64 y z)) (/.f64 1/2 (cos.f64 (+.f64 y z)))))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 2 (sin.f64 y))) (sin.f64 (+.f64 y z)))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 2 (/.f64 2 (sin.f64 y))) (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 2 (sin.f64 y))) (.f64 (sin.f64 (+.f64 y z)) 2))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))) (/.f64 2 (sin.f64 y))) (.f64 (sin.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (cos.f64 (+.f64 y z)))))
(/.f64 (.f64 (/.f64 2 (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (sin.f64 y)))) (.f64 (sin.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (*.f64 (cos.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))))
(.f64 (sin.f64 (+.f64 y z)) (/.f64 (/.f64 2 (cos.f64 (+.f64 y z))) (.f64 (/.f64 (sin.f64 (+.f64 y z)) (.f64 (cos.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (sin.f64 y))))))
(/.f64 (/.f64 4 (/.f64 2 (sin.f64 y))) (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) -2) (/.f64 2 (sin.f64 y))) (neg.f64 (sin.f64 (+.f64 y z))))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) 4) (/.f64 2 (sin.f64 y))) (.f64 2 (*.f64 (sin.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (cos.f64 (+.f64 y z))))))
(.f64 4 (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 2 (sin.f64 y)) (.f64 (sin.f64 (+.f64 y z)) (.f64 (/.f64 (sin.f64 (+.f64 y z)) (*.f64 (cos.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) 2)))))
(/.f64 (sin.f64 y) (.f64 (/.f64 1/2 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z)))) (.f64 (sin.f64 (+.f64 y z)) (.f64 2 (/.f64 (sin.f64 (+.f64 y z)) (.f64 (cos.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))))))
(/.f64 (/.f64 (/.f64 (.f64 2 (sin.f64 y)) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (sin.f64 (+.f64 y z))) (.f64 2 (/.f64 (sin.f64 (+.f64 y z)) (*.f64 (cos.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))))))
(/.f64 (/.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))) -1)
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) 2) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))) -2)
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (*.f64 (cos.f64 (+.f64 y z)) 4) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))) -4)
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (cos.f64 (+.f64 y z)))) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))) 4)
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (sin.f64 y) (/.f64 1 (cos.f64 (+.f64 y z)))) (sin.f64 (+.f64 y z)))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (sin.f64 y) 1/2) (*.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z)))))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 (sin.f64 (+.f64 y z)))) (/.f64 -1 (cos.f64 (+.f64 y z))))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(/.f64 (neg.f64 (.f64 (sin.f64 y) 2)) (neg.f64 (.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z))))))
(/.f64 (neg.f64 (.f64 2 (sin.f64 y))) (neg.f64 (.f64 (sin.f64 (+.f64 y z)) (/.f64 2 (cos.f64 (+.f64 y z))))))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 (/.f64 2 (cos.f64 (+.f64 y z))) (sin.f64 (neg.f64 (+.f64 y z)))))
(/.f64 (.f64 (sin.f64 y) -2) (.f64 (sin.f64 (+.f64 y z)) (neg.f64 (/.f64 2 (cos.f64 (+.f64 y z))))))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z)))) (/.f64 -1 (cos.f64 (+.f64 y z))))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)) 1)
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 y))))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 y z)) (neg.f64 (sin.f64 (+.f64 y z)))) (/.f64 1 (sin.f64 y))))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))
(neg.f64 (/.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 (+.f64 y z)) (sin.f64 (neg.f64 y)))))
(/.f64 (*.f64 (cos.f64 (+.f64 y z)) (sin.f64 y)) (sin.f64 (+.f64 y z)))
(*.f64 (cos.f64 (+.f64 y z)) (/.f64 (sin.f64 y) (sin.f64 (+.f64 y z))))

eval521.0ms (1.1%)

Compiler: Compiled 56074 to 16652 computations (70.3% saved)

prune644.0ms (1.3%)

Pruning

59 alts after pruning (53 fresh and 6 done)

	Pruned	Kept	Total
New	1625	13	1638
Fresh	8	40	48
Picked	1	0	1
Done	1	6	7
Total	1635	59	1694

Error

10.9b

Counts

1694 → 59

Alt Table

Click to see full alt table

Status	Error	Program
	59.9b	(/.f64 (sin.f64 y) (cos.f64 y))
	59.7b	(/.f64 (sin.f64 a) (neg.f64 (cos.f64 a)))
	31.5b	(-.f64 (+.f64 x (+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))))) (-.f64 1 (tan.f64 a)))) 1)
	29.8b	(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) 1)) 1)
	37.6b	(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
	42.6b	(+.f64 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (cos.f64 (+.f64 z y))) x)
	36.6b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (+.f64 (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y)))) x)
	36.3b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (+.f64 (cos.f64 y) (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (cos.f64 y) (*.f64 -1/2 (pow.f64 z 2)))))) x)
	36.2b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) x)
✓	36.7b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x)
	36.3b	(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 y)) x)
	43.2b	(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 y x))
	36.9b	(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x)
	36.5b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 (+.f64 z y))) x)
	43.5b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 z)) x)
	42.7b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y))) (+.f64 (*.f64 z (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) x)))
	42.1b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (*.f64 z (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) x))
✓	36.5b	(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)
	43.1b	(+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (*.f64 y (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))) x)
	42.7b	(+.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y))))) x)
	12.6b	(+.f64 (+.f64 (-.f64 1 (tan.f64 a)) x) (+.f64 (tan.f64 (+.f64 y z)) -1))
	49.4b	(+.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) x)
	50.4b	(+.f64 (+.f64 (*.f64 1/3 (pow.f64 y 3)) y) x)
	12.6b	(+.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (tan.f64 (neg.f64 a)))
	24.9b	(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (/.f64 (sin.f64 z) (cos.f64 z)))
	25.4b	(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
✓	12.5b	(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (tan.f64 (+.f64 y z)))
	35.8b	(+.f64 (+.f64 x (neg.f64 a)) (tan.f64 (+.f64 y z)))
	31.5b	(+.f64 (.f64 (pow.f64 y 3) (neg.f64 (+.f64 (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) 1/6)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (*.f64 (sin.f64 z) (/.f64 (pow.f64 y 2) (cos.f64 z))))) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))))
	36.8b	(+.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (+.f64 z y))) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (cos.f64 z)) x)
	24.9b	(+.f64 (*.f64 (/.f64 1 (cos.f64 z)) (sin.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
	29.8b	(+.f64 (.f64 (+.f64 (-.f64 1 (neg.f64 (cos.f64 (+.f64 y z)))) -1) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 (+.f64 y z))))) x)
	32.1b	(+.f64 (.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))))) (neg.f64 (pow.f64 z 3))) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 (*.f64 (sin.f64 y) (/.f64 (pow.f64 z 2) (cos.f64 y))) z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))))
	36.2b	(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (cos.f64 y) (.f64 z (-.f64 (neg.f64 (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))))))) x)
	36.3b	(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) x)
	43.0b	(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 z)))) x)
	48.8b	(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 z) (sin.f64 z)) (sin.f64 y)))) x)
	43.2b	(+.f64 (*.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (neg.f64 (cos.f64 (+.f64 y (-.f64 z (PI.f64))))))) x)
	48.9b	(+.f64 (.f64 (cos.f64 z) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)))) x)
	41.6b	(+.f64 (.f64 (cos.f64 y) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)))) x)
	43.1b	(+.f64 (*.f64 y (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x))
	43.4b	(+.f64 (sin.f64 y) x)
	44.3b	(+.f64 y (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
✓	50.0b	(+.f64 y x)
	24.9b	(+.f64 x (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (tan.f64 a)))
	25.4b	(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (tan.f64 a)))
	31.4b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))))) (tan.f64 a)))
	31.2b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) y)) (tan.f64 a)))
	31.8b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y))))) (tan.f64 a)))
	31.2b	(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))) (tan.f64 a)))
✓	12.5b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
	12.6b	(+.f64 x (-.f64 1 (-.f64 (+.f64 (tan.f64 a) (neg.f64 (+.f64 (tan.f64 (+.f64 z y)) -2))) 1)))
	31.2b	(+.f64 x (-.f64 1 (+.f64 (tan.f64 a) (+.f64 (-.f64 1 (/.f64 (sin.f64 y) (cos.f64 y))) (*.f64 z (-.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))))))
	31.4b	(+.f64 x (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) 1) -1)) (/.f64 (sin.f64 a) (cos.f64 a)))))
	31.4b	(+.f64 x (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 z (/.f64 (sin.f64 a) (cos.f64 a)))))
	31.2b	(+.f64 x (+.f64 (+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y))))) (-.f64 (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1)) (/.f64 (sin.f64 a) (cos.f64 a)))))
✓	12.6b	(+.f64 x (+.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2))))
	12.6b	(+.f64 x (+.f64 -2 (+.f64 (-.f64 (-.f64 (tan.f64 (+.f64 y z)) -3) (tan.f64 a)) -1)))
	43.6b	x

Compiler

Compiled 1396 to 909 computations (34.9% saved)

regimes341.0ms (0.7%)

Counts

83 → 1

Calls

Call 1

Inputs
x
(+.f64 y x)
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 x (neg.f64 a)) (tan.f64 (+.f64 y z)))
(+.f64 (+.f64 (*.f64 1/3 (pow.f64 y 3)) y) x)
(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) 1)) 1)
(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 a))) 1)
(/.f64 (sin.f64 y) (cos.f64 y))
(/.f64 (sin.f64 a) (neg.f64 (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)
(+.f64 (/.f64 (sin.f64 y) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
(+.f64 y (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) x)
(+.f64 (/.f64 (sin.f64 y) (cos.f64 (+.f64 z y))) x)
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 y x))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 (+.f64 z y))) x)
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 y)) x)
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 z)) x)
(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (tan.f64 (+.f64 y z)))
(+.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (tan.f64 (neg.f64 a)))
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x)
(+.f64 x (+.f64 -2 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) 2))))
(+.f64 x (-.f64 1 (+.f64 (tan.f64 a) (-.f64 1 (tan.f64 (+.f64 z y))))))
(+.f64 (*.f64 (/.f64 1 (cos.f64 (+.f64 z y))) (sin.f64 (+.f64 z y))) x)
(+.f64 (+.f64 (-.f64 1 (tan.f64 a)) x) (+.f64 (tan.f64 (+.f64 y z)) -1))
(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 (tan.f64 a)))) 1)
(+.f64 x (+.f64 -2 (+.f64 (-.f64 (-.f64 (tan.f64 (+.f64 y z)) -3) (tan.f64 a)) -1)))
(+.f64 x (-.f64 1 (-.f64 (+.f64 (tan.f64 a) (neg.f64 (+.f64 (tan.f64 (+.f64 z y)) -2))) 1)))
(+.f64 x (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (tan.f64 a)))
(+.f64 x (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (tan.f64 a)))
(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (/.f64 (sin.f64 y) (cos.f64 y)))
(+.f64 (+.f64 x (tan.f64 (neg.f64 a))) (/.f64 (sin.f64 z) (cos.f64 z)))
(+.f64 (/.f64 (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z))) (cos.f64 (+.f64 z y))) x)
(+.f64 (/.f64 (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y)) (cos.f64 (+.f64 z y))) x)
(-.f64 (+.f64 x (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 1 (tan.f64 a)))) 1)
(+.f64 (+.f64 (*.f64 1/3 (pow.f64 y 3)) y) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))) x)
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (+.f64 (cos.f64 z) (*.f64 (sin.f64 z) (neg.f64 y)))) x)
(-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 x (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 z (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 (*.f64 (/.f64 1 (cos.f64 z)) (sin.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))
(+.f64 (/.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 z) (pow.f64 y 2))) (+.f64 (sin.f64 z) (*.f64 y (cos.f64 z)))) (cos.f64 (+.f64 z y))) x)
(+.f64 (*.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (neg.f64 (cos.f64 (+.f64 y (-.f64 z (PI.f64))))))) x)
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (+.f64 (cos.f64 y) (+.f64 (.f64 (sin.f64 y) (neg.f64 z)) (.f64 (cos.f64 y) (*.f64 -1/2 (pow.f64 z 2)))))) x)
(+.f64 (*.f64 y (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2))))) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x))
(+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (*.f64 y (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))) x)
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (*.f64 z (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) x))
(+.f64 x (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) 1) -1)) (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 z) (sin.f64 z)) (sin.f64 y)))) x)
(+.f64 (.f64 (cos.f64 y) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)))) x)
(+.f64 (.f64 (cos.f64 z) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)))) x)
(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 z) (sin.f64 z)) (sin.f64 (+.f64 y z))))) x)
(+.f64 (.f64 (/.f64 (/.f64 1 (sin.f64 (+.f64 z y))) (.f64 (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))) (/.f64 (cos.f64 z) (sin.f64 (+.f64 z y))))) (cos.f64 z)) x)
(+.f64 (.f64 (cos.f64 y) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 (+.f64 y z))))) x)
(+.f64 (.f64 (cos.f64 z) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 (+.f64 y z))))) x)
(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 y)))) x)
(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 z)))) x)
(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 (+.f64 y z))))) x)
(+.f64 (.f64 (+.f64 (-.f64 1 (neg.f64 (cos.f64 (+.f64 y z)))) -1) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (sin.f64 (+.f64 y z))))) x)
(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))) (tan.f64 a)))
(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) y)) (tan.f64 a)))
(+.f64 x (-.f64 1 (+.f64 (tan.f64 a) (+.f64 (-.f64 1 (/.f64 (sin.f64 y) (cos.f64 y))) (*.f64 z (-.f64 -1 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))))))
(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (.f64 (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z))) (+.f64 (*.f64 (cos.f64 y) z) (sin.f64 y))))) x)
(+.f64 x (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1)) (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) y) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 x (+.f64 (+.f64 -1 (-.f64 1 (/.f64 (sin.f64 y) (neg.f64 (cos.f64 y))))) (-.f64 (*.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1)) (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 (.f64 (cos.f64 (+.f64 y z)) (/.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (+.f64 (cos.f64 y) (.f64 z (-.f64 (neg.f64 (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))))))) x)
(+.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y))))) x)
(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y))))) (tan.f64 a)))
(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))))) (tan.f64 a)))
(-.f64 (+.f64 x (+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z))))) (-.f64 1 (tan.f64 a)))) 1)
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y))) (+.f64 (*.f64 z (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) x)))
(+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y))) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (-.f64 (+.f64 (*.f64 z (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))) x) (/.f64 (sin.f64 a) (cos.f64 a)))))
(+.f64 (.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))))) (neg.f64 (pow.f64 z 3))) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 (*.f64 (sin.f64 y) (/.f64 (pow.f64 z 2) (cos.f64 y))) z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))))
(+.f64 (.f64 (pow.f64 y 3) (neg.f64 (+.f64 (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) 1/6)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)))))))) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (*.f64 (sin.f64 z) (/.f64 (pow.f64 y 2) (cos.f64 z))))) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))))
(+.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (pow.f64 z 3) (neg.f64 (+.f64 (+.f64 (neg.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2))))))) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y)))))) x)
(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 (.f64 (+.f64 1/6 (+.f64 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1)) (+.f64 (neg.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1))) (.f64 1/6 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)))))) (neg.f64 (pow.f64 z 3))) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 (cos.f64 y) 2)) -1) (+.f64 z (/.f64 (.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y)))))) (tan.f64 a)))
(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (+.f64 y (/.f64 (.f64 (sin.f64 z) (pow.f64 y 2)) (cos.f64 z)))) (.f64 (pow.f64 y 3) (neg.f64 (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) -1/2) (+.f64 (.f64 (pow.f64 (sin.f64 z) 2) (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) -1) (pow.f64 (cos.f64 z) 2)))) (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 z) 2) (pow.f64 (cos.f64 z) 2)) 1/6)))))))) (tan.f64 a)))

Outputs
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))

Calls

9 calls:

37.0ms	(tan.f64 (+.f64 y z))
36.0ms	a
34.0ms	(+.f64 y z)
34.0ms	(tan.f64 a)
33.0ms	x

Results

Error	Segments	Branch
12.5b	1	`x`
12.5b	1	`y`
12.5b	1	`z`
12.5b	1	`a`
12.5b	1	`(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))`
12.5b	1	`(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))`
12.5b	1	`(tan.f64 (+.f64 y z))`
12.5b	1	`(+.f64 y z)`
12.5b	1	`(tan.f64 a)`

Compiler

Compiled 1923 to 789 computations (59% saved)

regimes110.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

Inputs
x
(+.f64 y x)
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 x (neg.f64 a)) (tan.f64 (+.f64 y z)))
(+.f64 (+.f64 (*.f64 1/3 (pow.f64 y 3)) y) x)
(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) 1)) 1)
(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 a))) 1)
(/.f64 (sin.f64 y) (cos.f64 y))
(/.f64 (sin.f64 a) (neg.f64 (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)
(+.f64 (/.f64 (sin.f64 y) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x)
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))

Outputs
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))
(+.f64 (+.f64 x (neg.f64 a)) (tan.f64 (+.f64 y z)))
(-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))

Calls

6 calls:

25.0ms	y
19.0ms	z
19.0ms	(+.f64 y z)
19.0ms	(tan.f64 (+.f64 y z))
18.0ms	a

Results

Error	Segments	Branch
29.8b	1	`x`
27.8b	3	`y`
27.7b	3	`z`
24.2b	3	`a`
24.5b	3	`(tan.f64 (+.f64 y z))`
24.4b	3	`(+.f64 y z)`

Compiler

Compiled 126 to 71 computations (43.7% saved)

bsearch81.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	8.339596711836023e-19	2.521292388282626e-15
40.0ms	-5.89534521403905	-0.003988407313016558

Results

43.0ms	103×	body	1024	valid
15.0ms	94×	body	256	valid
14.0ms	51×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 436 to 319 computations (26.8% saved)

regimes43.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
x
(+.f64 y x)
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 x (neg.f64 a)) (tan.f64 (+.f64 y z)))
(+.f64 (+.f64 (*.f64 1/3 (pow.f64 y 3)) y) x)
(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) 1)) 1)
(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) (-.f64 1 a))) 1)
(/.f64 (sin.f64 y) (cos.f64 y))
(/.f64 (sin.f64 a) (neg.f64 (cos.f64 a)))
(+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x)
(+.f64 (/.f64 (sin.f64 y) (cos.f64 z)) x)
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x)

Outputs
(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) 1)) 1)

Calls

6 calls:

7.0ms	x
7.0ms	a
6.0ms	y
6.0ms	(tan.f64 (+.f64 y z))
6.0ms	(+.f64 y z)

Results

Error	Segments	Branch
29.8b	1	`x`
29.8b	1	`y`
29.8b	1	`z`
29.8b	1	`a`
29.8b	1	`(tan.f64 (+.f64 y z))`
29.8b	1	`(+.f64 y z)`

Compiler

Compiled 119 to 69 computations (42% saved)

regimes48.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(+.f64 y x)
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 x (neg.f64 a)) (tan.f64 (+.f64 y z)))
(+.f64 (+.f64 (*.f64 1/3 (pow.f64 y 3)) y) x)

Outputs
(+.f64 (sin.f64 y) x)
(+.f64 (+.f64 x (neg.f64 a)) (tan.f64 (+.f64 y z)))
x

Calls

6 calls:

12.0ms	(tan.f64 (+.f64 y z))
11.0ms	a
11.0ms	(+.f64 y z)
4.0ms	z
4.0ms	y

Results

Error	Segments	Branch
35.8b	1	`x`
35.8b	1	`y`
35.8b	1	`z`
30.1b	3	`a`
34.5b	3	`(tan.f64 (+.f64 y z))`
34.7b	3	`(+.f64 y z)`

Compiler

Compiled 65 to 45 computations (30.8% saved)

bsearch102.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	2.4750356789961427e-14	350722125.6994355
44.0ms	-5.89534521403905	-0.003988407313016558

Results

60.0ms	141×	body	1024	valid
16.0ms	103×	body	256	valid
13.0ms	46×	body	512	valid
9.0ms	14×	body	2048	valid

Compiler

Compiled 424 to 316 computations (25.5% saved)

regimes15.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(+.f64 y x)
(+.f64 (sin.f64 y) x)

Outputs
(+.f64 (sin.f64 y) x)

Calls

4 calls:

4.0ms	y
3.0ms	a
3.0ms	z
3.0ms	x

Results

Error	Segments	Branch
43.4b	1	`x`
43.4b	1	`y`
43.4b	1	`z`
43.4b	1	`a`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes12.0ms (0%)

Accuracy

Total -6.6b remaining (-15.1%)

Threshold costs -6.6b (-15.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(+.f64 y x)

Outputs
x

Calls

4 calls:

3.0ms	a
3.0ms	x
3.0ms	y
3.0ms	z

Results

Error	Segments	Branch
43.6b	1	`x`
43.6b	1	`y`
43.6b	1	`z`
43.6b	1	`a`

Compiler

Compiled 28 to 21 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	212

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
(if (<=.f64 a -3602879701896397/18014398509481984) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (if (<=.f64 a 6338253001141147/2535301200456458802993406410752) (+.f64 (+.f64 x (neg.f64 a)) (tan.f64 (+.f64 y z))) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))))
(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) 1)) 1)
(if (<=.f64 a -3512807709348987/2251799813685248) (+.f64 (sin.f64 y) x) (if (<=.f64 a 6980579422424269/4503599627370496) (+.f64 (+.f64 x (neg.f64 a)) (tan.f64 (+.f64 y z))) x))
(+.f64 (sin.f64 y) x)
x

Outputs
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
(if (<=.f64 a -3602879701896397/18014398509481984) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))) (if (<=.f64 a 6338253001141147/2535301200456458802993406410752) (+.f64 (+.f64 x (neg.f64 a)) (tan.f64 (+.f64 y z))) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a)))))
(-.f64 (+.f64 x (+.f64 (tan.f64 (+.f64 y z)) 1)) 1)
(if (<=.f64 a -3512807709348987/2251799813685248) (+.f64 (sin.f64 y) x) (if (<=.f64 a 6980579422424269/4503599627370496) (+.f64 (+.f64 x (neg.f64 a)) (tan.f64 (+.f64 y z))) x))
(+.f64 (sin.f64 y) x)
x

Compiler

Compiled 101 to 66 computations (34.7% saved)

soundness0.0ms (0%)

end39.0ms (0.1%)

Remove: (sort y z)
Compiler: Compiled 107 to 53 computations (50.5% saved)