Details

analyze538.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	5
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	6
21.9%	21.9%	78%	0.1%	0%	0%	0%	7
23.4%	23.4%	76.5%	0.1%	0%	0%	0%	8
24.2%	24.2%	75.7%	0.1%	0%	0%	0%	9
24.6%	24.6%	75.3%	0.1%	0%	0%	0%	10
24.8%	24.8%	75.1%	0.1%	0%	0%	0%	11
24.9%	24.9%	75%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample14.4s (35.8%)

Results

10.3s	3577×	body	1024	valid
1.9s	1387×	body	512	valid
1.8s	1265×	body	2048	valid
484.0ms	2023×	body	256	valid
5.0ms	4×	body	4096	valid

Bogosity

preprocess1.6s (3.9%)

Algorithm

2×	egg-herbie

Rules

8600×	`rational.json-simplify-41`
5414×	`rational.json-simplify-1`
1134×	`trig.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	22	42
2	33	42
3	50	42
4	75	42
5	109	42
6	151	42
7	204	42
8	264	42
9	333	42
10	366	42
11	375	42
12	384	42
13	393	42
14	402	42
15	524	42
16	565	42
17	574	42
18	583	42
19	592	42
20	601	42
21	610	42
22	619	42
23	628	42
24	637	42
25	646	42
26	894	42
27	984	42
28	993	42
29	1002	42
30	1011	42
31	1020	42
32	1029	42
33	1038	42
34	1047	42
35	1056	42
36	1065	42
37	1074	42
38	1083	42
39	1092	42
40	1101	42
41	1110	42
42	1119	42
43	1128	42
44	1137	42
45	1146	42
46	1155	42
47	1705	42
48	1711	42
49	1717	42
50	1723	42
51	1729	42
52	1735	42
53	1964	42
54	1973	42
55	1982	42
56	1991	42
57	2000	42
58	2009	42
59	2018	42
60	2027	42
61	2036	42
62	2045	42
63	2054	42
64	2063	42
65	2072	42
66	2081	42
67	2090	42
68	2099	42
69	2108	42
70	2117	42
71	2126	42
72	2135	42
73	2144	42
74	2153	42
75	2162	42
76	2171	42
77	2180	42
78	2189	42
79	2198	42
80	2207	42
81	2216	42
82	2225	42
83	2234	42
84	2243	42
85	2252	42
86	2261	42
87	2270	42
88	3212	42
89	3218	42
90	3224	42
91	3230	42
92	3236	42
93	3242	42
94	3248	42
95	3254	42
96	3260	42
97	3266	42
98	3272	42
99	3774	42
100	3783	42
101	3792	42
102	3801	42
103	3810	42
104	3819	42
105	3828	42
106	3837	42
107	3846	42
108	3855	42
109	3864	42
110	3873	42
111	3882	42
112	3891	42
113	3900	42
114	3909	42
115	3918	42
116	3927	42
117	3936	42
118	3945	42
119	3954	42
120	3963	42
121	3972	42
122	3981	42
123	3990	42
124	3999	42
125	4008	42
126	4017	42
127	4026	42
128	4035	42
129	4044	42
130	4053	42
131	4062	42
132	4071	42
133	4080	42
134	4089	42
135	4098	42
136	4107	42
137	4116	42
138	4125	42
139	4134	42
140	4143	42
141	4152	42
142	4161	42
143	4170	42
144	4179	42
145	4188	42
146	4197	42
147	4206	42
148	4215	42
149	4224	42
150	4233	42
151	4242	42
152	4251	42
153	4260	42
154	4269	42
155	4278	42
156	4287	42
157	4296	42
158	4305	42
159	4314	42
160	4323	42
161	4332	42
162	4341	42
163	4350	42
164	4359	42
165	4368	42
166	4377	42
167	4386	42
168	4395	42
169	6960	42
170	6966	42
171	6972	42
172	6978	42
173	6984	42
174	6990	42
175	6996	42
176	7002	42
177	7008	42
178	7014	42
179	7020	42
180	7026	42
181	7032	42
182	7038	42
183	7044	42
184	7050	42
185	7056	42
186	7062	42
187	7068	42
188	7074	42
189	7080	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps))

Outputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 eps))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify1.4s (3.4%)

Algorithm

1×	egg-herbie

Rules

9558×	`rational.json-simplify-41`
4590×	`rational.json-simplify-1`
760×	`trig.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	16	21
2	25	21
3	40	21
4	63	21
5	98	21
6	143	21
7	199	21
8	270	21
9	351	21
10	377	21
11	383	21
12	389	21
13	395	21
14	401	21
15	521	21
16	655	21
17	706	21
18	712	21
19	718	21
20	724	21
21	730	21
22	736	21
23	742	21
24	748	21
25	754	21
26	760	21
27	1165	21
28	1288	21
29	1294	21
30	1300	21
31	1306	21
32	1312	21
33	1318	21
34	1324	21
35	1330	21
36	1336	21
37	1342	21
38	1348	21
39	1354	21
40	1358	21
41	1362	21
42	1366	21
43	1370	21
44	1374	21
45	1390	21
46	1396	21
47	1402	21
48	2247	21
49	2482	21
50	2488	21
51	2494	21
52	2500	21
53	2506	21
54	2512	21
55	2518	21
56	2524	21
57	2530	21
58	2536	21
59	2542	21
60	2548	21
61	2554	21
62	2560	21
63	2566	21
64	2572	21
65	2578	21
66	2584	21
67	2590	21
68	2596	21
69	2602	21
70	2608	21
71	2614	21
72	2620	21
73	2626	21
74	2632	21
75	2638	21
76	2644	21
77	2650	21
78	2656	21
79	2662	21
80	2668	21
81	2674	21
82	2680	21
83	2686	21
84	2692	21
85	2698	21
86	2704	21
87	2710	21
88	2716	21
89	3724	21
90	3728	21
91	3732	21
92	3736	21
93	3740	21
94	3744	21
95	3748	21
96	3752	21
97	3756	21
98	3760	21
99	3764	21
100	4146	21
101	4152	21
102	4158	21
103	4164	21
104	4170	21
105	4176	21
106	4182	21
107	4188	21
108	4194	21
109	4200	21
110	4206	21
111	4212	21
112	4218	21
113	4224	21
114	4230	21
115	4236	21
116	4242	21
117	4248	21
118	4254	21
119	4260	21
120	4266	21
121	4272	21
122	4278	21
123	4284	21
124	4290	21
125	4296	21
126	4302	21
127	4308	21
128	4314	21
129	4320	21
130	4326	21
131	4332	21
132	4338	21
133	4344	21
134	4350	21
135	4356	21
136	4362	21
137	4368	21
138	4374	21
139	4380	21
140	4386	21
141	4392	21
142	4398	21
143	4404	21
144	4410	21
145	4416	21
146	4422	21
147	4428	21
148	4434	21
149	4440	21
150	4446	21
151	4452	21
152	4458	21
153	4464	21
154	4470	21
155	4476	21
156	4482	21
157	4488	21
158	4494	21
159	4500	21
160	4506	21
161	4512	21
162	4518	21
163	4524	21
164	4530	21
165	4536	21
166	4542	21
167	4548	21
168	4554	21
169	4560	21
170	7205	21
171	7209	21
172	7213	21
173	7217	21
174	7221	21
175	7225	21
176	7229	21
177	7233	21
178	7237	21
179	7241	21
180	7245	21
181	7249	21
182	7253	21
183	7257	21
184	7261	21
185	7265	21
186	7269	21
187	7273	21
188	7277	21
189	7281	21
190	7285	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Outputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% 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

35.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.7b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.7b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	2.0b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series9.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(tan.f64 (+.f64 x eps))
1.0ms	eps	@	0	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps	@	inf	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	x	@	inf	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps	@	0	(tan.f64 (+.f64 x eps))

rewrite121.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`exponential.json-3`
1518×	`rational.json-1`
1518×	`rational.json-2`
1518×	`rational.json-4`
1518×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	63	32
2	158	32
3	337	32
4	671	32
5	1622	32
6	3630	32
7	5760	32
8	7283	32

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(tan.f64 (+.f64 x eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

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

Outputs

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

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

simplify189.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1534×	`rational.json-simplify-35`
1194×	`rational.json-simplify-2`
1188×	`rational.json-simplify-48`
1188×	`rational.json-simplify-51`
846×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	252	5525
1	608	5197
2	1398	4861
3	2602	4763
4	4090	4763
5	5145	4763
6	6774	4763
7	7893	4763

Stop Event

1×	node limit

Counts

117 → 154

Calls

Call 1

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

Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) x))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) (.f64 (sin.f64 eps) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (.f64 (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 x (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))
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(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 8)))) 64)
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))

eval77.0ms (0.2%)

Compiler: Compiled 5606 to 3247 computations (42.1% saved)

prune51.0ms (0.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	136	18	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	136	19	155

Error

11.0b

Counts

155 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	61.1b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
▶	36.3b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
▶	51.8b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))))) (tan.f64 x))
▶	51.3b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))
	37.4b	(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (+.f64 (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2))) (pow.f64 (neg.f64 x) 3)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) (tan.f64 x))
	37.3b	(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) (tan.f64 x))
✓	35.7b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	27.3b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	29.6b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
	44.8b	(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2)
	28.3b	(+.f64 (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (.f64 (pow.f64 eps 3) (neg.f64 (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
	44.8b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
	44.7b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x)))
	28.5b	(+.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))) -1/3)) (pow.f64 eps 4))))))
	29.7b	(+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))))
	35.7b	(+.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)))
	28.4b	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))
▶	44.7b	(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))))
	28.0b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))

Compiler

Compiled 1409 to 942 computations (33.1% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))
✓	0.2b	(pow.f64 (sin.f64 eps) 2)
✓	0.2b	(pow.f64 (cos.f64 eps) 2)
✓	4.1b	(*.f64 (pow.f64 (sin.f64 eps) 2) x)

Compiler

Compiled 56 to 26 computations (53.6% saved)

series8.0ms (0%)

Counts

4 → 44

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	-inf	(*.f64 (pow.f64 (sin.f64 eps) 2) x)
1.0ms	x	@	0	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))
1.0ms	x	@	0	(*.f64 (pow.f64 (sin.f64 eps) 2) x)
1.0ms	eps	@	0	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))
1.0ms	x	@	inf	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))

rewrite83.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`rational.json-1`
1144×	`rational.json-2`
1144×	`rational.json-4`
1144×	`rational.json-3`
1136×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	72
1	86	72
2	226	72
3	583	72
4	1712	72
5	4184	72

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(pow.f64 (cos.f64 eps) 2)
(pow.f64 (sin.f64 eps) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))

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

simplify177.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1344×	`rational.json-simplify-2`
976×	`rational.json-simplify-44`
910×	`rational.json-simplify-46`
858×	`exponential.json-simplify-26`
768×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	331	5309
1	768	5225
2	2054	5207
3	5974	5195
4	7706	5191

Stop Event

1×	node limit

Counts

197 → 209

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 -1/3 (*.f64 x (pow.f64 eps 4))))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 x (*.f64 -1/3 (pow.f64 eps 4))))
(.f64 x (+.f64 (pow.f64 eps 2) (.f64 -1/3 (pow.f64 eps 4))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) x)) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/3 (.f64 x (pow.f64 eps 4))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 2/45 (*.f64 x (pow.f64 eps 6)))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 x (.f64 2/45 (pow.f64 eps 6))) (.f64 x (*.f64 -1/3 (pow.f64 eps 4)))))
(+.f64 (.f64 x (.f64 -1/3 (pow.f64 eps 4))) (.f64 x (+.f64 (pow.f64 eps 2) (.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/315 (.f64 (pow.f64 eps 8) x)) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 -1/3 (.f64 x (pow.f64 eps 4))) (+.f64 (.f64 2/45 (.f64 x (pow.f64 eps 6))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 -1/315 (*.f64 x (pow.f64 eps 8))))))
(+.f64 (.f64 x (.f64 -1/315 (pow.f64 eps 8))) (+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 x (.f64 2/45 (pow.f64 eps 6))) (.f64 x (*.f64 -1/3 (pow.f64 eps 4))))))
(+.f64 (.f64 x (.f64 -1/3 (pow.f64 eps 4))) (+.f64 (.f64 x (.f64 2/45 (pow.f64 eps 6))) (.f64 x (+.f64 (pow.f64 eps 2) (.f64 -1/315 (pow.f64 eps 8))))))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
1
(+.f64 1 (*.f64 -1 (pow.f64 eps 2)))
(+.f64 1 (*.f64 (pow.f64 eps 2) -1))
(+.f64 1 (neg.f64 (pow.f64 eps 2)))
(-.f64 1 (pow.f64 eps 2))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (.f64 1/3 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) -1) (.f64 (pow.f64 eps 4) 1/3)))
(+.f64 (neg.f64 (pow.f64 eps 2)) (+.f64 1 (*.f64 (pow.f64 eps 4) 1/3)))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/3)))
(+.f64 (-.f64 1 (pow.f64 eps 2)) (*.f64 (pow.f64 eps 4) 1/3))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (*.f64 -2/45 (pow.f64 eps 6)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 eps 2) -1) (+.f64 (.f64 (pow.f64 eps 4) 1/3) (*.f64 (pow.f64 eps 6) -2/45))))
(+.f64 (neg.f64 (pow.f64 eps 2)) (+.f64 1 (+.f64 (.f64 (pow.f64 eps 4) 1/3) (.f64 (pow.f64 eps 6) -2/45))))
(+.f64 (-.f64 1 (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 4) 1/3) (.f64 (pow.f64 eps 6) -2/45)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (.f64 -1/3 (pow.f64 eps 4)) (+.f64 (pow.f64 eps 2) (.f64 2/45 (pow.f64 eps 6))))
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(.f64 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) -2) (.f64 -1 (/.f64 1/2 (pow.f64 (cos.f64 eps) 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 8 (.f64 (pow.f64 (/.f64 (sin.f64 eps) 2) 2) (*.f64 x (/.f64 1/2 (pow.f64 (cos.f64 eps) 2)))))
(.f64 8 (.f64 x (*.f64 (/.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (pow.f64 (/.f64 (sin.f64 eps) 2) 2))))
(.f64 (.f64 x (/.f64 1/2 (pow.f64 (cos.f64 eps) 2))) (*.f64 8 (pow.f64 (/.f64 (sin.f64 eps) 2) 2)))
(.f64 8 (.f64 x (*.f64 (pow.f64 (/.f64 (sin.f64 eps) 2) 2) (/.f64 1/2 (pow.f64 (cos.f64 eps) 2)))))
(.f64 (.f64 2 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (.f64 x (.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (.f64 2 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 x 1/2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (.f64 2 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (.f64 1/2 (.f64 (pow.f64 (sin.f64 eps) 2) x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/2) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (neg.f64 (pow.f64 (cos.f64 eps) 2))) -1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 1/2 (pow.f64 (cos.f64 eps) 2))) 2)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (/.f64 -1 (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 2) 2)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 eps) 2) 4)) (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 x 4)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (cos.f64 eps) 2)))) (.f64 -1 (.f64 x 1/2)))
(.f64 (.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (cos.f64 eps) 2)))) (*.f64 x -1/2))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (cos.f64 eps) 2))) (*.f64 x -1/2)))
(.f64 (.f64 x (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/2 (pow.f64 (cos.f64 eps) 2)))) 2)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x (/.f64 1/2 (pow.f64 (cos.f64 eps) 2)))) 2)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 x 1/2)) 2)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/2) (+.f64 x x))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (+.f64 (pow.f64 (.f64 (sin.f64 eps) 2) 2) (pow.f64 (.f64 (sin.f64 eps) 2) 2)) (.f64 1/4 (*.f64 x (/.f64 1/2 (pow.f64 (cos.f64 eps) 2)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(.f64 (+.f64 (/.f64 -1 (pow.f64 (cos.f64 eps) 2)) (/.f64 -1 (pow.f64 (cos.f64 eps) 2))) (.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (*.f64 x 1/2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (neg.f64 (pow.f64 (cos.f64 eps) 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 -1 (tan.f64 x))
✓	0.2b	(+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x)))
	2.0b	(tan.f64 (+.f64 x eps))
✓	3.4b	(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))))

Compiler

Compiled 39 to 17 computations (56.4% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite208.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`exponential.json-3`
1512×	`rational.json-1`
1512×	`rational.json-2`
1512×	`rational.json-4`
1512×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	100	71
2	226	65
3	472	63
4	967	63
5	1988	63
6	3575	63
7	5490	63
8	6755	63
9	7362	63
10	7713	63

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

Inputs
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))

Outputs

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

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

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

simplify251.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1956×	`rational.json-simplify-35`
1156×	`rational.json-simplify-2`
948×	`rational.json-simplify-1`
578×	`rational.json-simplify-52`
476×	`rational.json-simplify-8`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	281	6906
1	659	6408
2	1563	6068
3	3282	5958
4	4280	5926
5	5279	5926
6	6111	5926
7	7182	5926
8	7961	5926

Stop Event

1×	node limit

Counts

148 → 193

Calls

Call 1

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

Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (.f64 (.f64 (sin.f64 eps) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (.f64 (sin.f64 eps) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (.f64 (sin.f64 eps) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1)) (cos.f64 eps)))))
(+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (sin.f64 eps) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (cos.f64 eps)))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (.f64 (.f64 (pow.f64 x 2) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (.f64 -1 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (.f64 (pow.f64 x 3) -1))))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) 1/2))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (.f64 (sin.f64 eps) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps))))))
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(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 (-.f64 -1 (tan.f64 x)) -1))
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 1)
(+.f64 1 (+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 (-.f64 -1 (tan.f64 x)) -1))
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 0)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(*.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 1)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 1/2))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(.f64 2 (+.f64 (.f64 (-.f64 -1 (tan.f64 x)) 1/2) (*.f64 (tan.f64 (+.f64 x eps)) 1/2)))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(.f64 2 (+.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (*.f64 (-.f64 -1 (tan.f64 x)) 1/2)))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(*.f64 4 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 4))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 2) 1/2)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 4) 1/4)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(.f64 1/2 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 2))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(.f64 1/2 (+.f64 (.f64 (-.f64 -1 (tan.f64 x)) 2) (*.f64 (tan.f64 (+.f64 x eps)) 2)))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(.f64 1/2 (+.f64 (.f64 (tan.f64 (+.f64 x eps)) 2) (*.f64 (-.f64 -1 (tan.f64 x)) 2)))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(.f64 1/4 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 4))
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 1/2) 2)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(*.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 4) 4)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 1)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 2) 2)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 4) 4)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 8) 8)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 8)) 16)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 8))) 32)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 8)))) 64)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))) 1)
(+.f64 (tan.f64 (+.f64 eps x)) (-.f64 -1 (tan.f64 x)))
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(+.f64 -1 (neg.f64 (tan.f64 x)))
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(+.f64 (-.f64 -1 (tan.f64 x)) 0)
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(+.f64 0 (-.f64 -1 (tan.f64 x)))
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(+.f64 (neg.f64 (tan.f64 x)) -1)
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(+.f64 (-.f64 1 (tan.f64 x)) -2)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
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(+.f64 (.f64 (-.f64 -1 (tan.f64 x)) 1/2) (.f64 (-.f64 -1 (tan.f64 x)) 1/2))
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(-.f64 -1 (tan.f64 x))
(+.f64 -2 (-.f64 1 (tan.f64 x)))
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(-.f64 -1 (tan.f64 x))
(+.f64 (-.f64 -1 (/.f64 (+.f64 1 (tan.f64 x)) 2)) (-.f64 1 (/.f64 (+.f64 1 (tan.f64 x)) 2)))
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(*.f64 1 (-.f64 -1 (tan.f64 x)))
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(*.f64 -1 (+.f64 1 (tan.f64 x)))
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(*.f64 (-.f64 -1 (tan.f64 x)) 1)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(.f64 2 (.f64 (-.f64 -1 (tan.f64 x)) 1/2))
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(*.f64 4 (/.f64 (-.f64 -1 (tan.f64 x)) 4))
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(.f64 (.f64 (-.f64 -1 (tan.f64 x)) 2) 1/2)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(*.f64 (+.f64 1 (tan.f64 x)) -1)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(.f64 (.f64 (-.f64 -1 (tan.f64 x)) 4) 1/4)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(.f64 1/2 (.f64 (-.f64 -1 (tan.f64 x)) 2))
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(-.f64 -1 (tan.f64 x))
(.f64 (.f64 (-.f64 -1 (tan.f64 x)) 1/2) 2)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
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(.f64 1/4 (.f64 (-.f64 -1 (tan.f64 x)) 4))
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(*.f64 (/.f64 (+.f64 1 (tan.f64 x)) 2) -2)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(*.f64 (/.f64 (-.f64 -1 (tan.f64 x)) 4) 4)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(*.f64 (neg.f64 (-.f64 -1 (tan.f64 x))) -1)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(*.f64 (-.f64 (+.f64 -1 (tan.f64 x)) -2) -1)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(/.f64 (-.f64 -1 (tan.f64 x)) 1)
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(/.f64 (*.f64 (-.f64 -1 (tan.f64 x)) 2) 2)
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(/.f64 (+.f64 1 (tan.f64 x)) -1)
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(/.f64 (*.f64 (-.f64 -1 (tan.f64 x)) 4) 4)
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(-.f64 -1 (tan.f64 x))
(/.f64 (*.f64 (-.f64 -1 (tan.f64 x)) -2) -2)
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(-.f64 -1 (tan.f64 x))
(/.f64 (*.f64 (-.f64 -1 (tan.f64 x)) 8) 8)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(/.f64 (*.f64 (+.f64 1 (tan.f64 x)) 4) -4)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 -1 (tan.f64 x)) 8)) 16)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(/.f64 (.f64 2 (.f64 (+.f64 1 (tan.f64 x)) 4)) -8)
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(-.f64 -1 (tan.f64 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 -1 (tan.f64 x)) 8))) 32)
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(/.f64 (neg.f64 (*.f64 (+.f64 1 (tan.f64 x)) 4)) 4)
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(-.f64 -1 (tan.f64 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (-.f64 -1 (tan.f64 x)) 8)))) 64)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(/.f64 (.f64 (.f64 (+.f64 1 (tan.f64 x)) 4) -2) 8)
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(/.f64 (neg.f64 (-.f64 -1 (tan.f64 x))) -1)
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(/.f64 (-.f64 (+.f64 -1 (tan.f64 x)) -2) -1)
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(-.f64 -1 (tan.f64 x))
(pow.f64 (-.f64 -1 (tan.f64 x)) 1)
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(neg.f64 (+.f64 1 (tan.f64 x)))
(+.f64 1 (-.f64 -2 (tan.f64 x)))
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(neg.f64 (neg.f64 (-.f64 -1 (tan.f64 x))))
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))
(neg.f64 (-.f64 (+.f64 -1 (tan.f64 x)) -2))
(+.f64 1 (-.f64 -2 (tan.f64 x)))
(-.f64 -1 (tan.f64 x))

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 eps)
✓	0.1b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
✓	0.1b	(/.f64 (sin.f64 eps) (cos.f64 eps))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(cos.f64 eps)
0.0ms	eps	@	-inf	(/.f64 (sin.f64 eps) (cos.f64 eps))
0.0ms	eps	@	inf	(/.f64 (sin.f64 eps) (cos.f64 eps))
0.0ms	x	@	inf	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
0.0ms	eps	@	0	(/.f64 (sin.f64 eps) (cos.f64 eps))

rewrite84.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`rational.json-1`
1544×	`rational.json-2`
1544×	`rational.json-4`
1544×	`rational.json-3`
1536×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	73	45
2	202	45
3	502	45
4	1251	45
5	4343	45

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(cos.f64 eps)

Outputs

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

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

simplify141.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1610×	`rational.json-simplify-51`
1174×	`rational.json-simplify-2`
1130×	`rational.json-simplify-1`
1010×	`rational.json-simplify-55`
544×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	4433
1	618	4257
2	2734	3875
3	4697	3875
4	7357	3875

Stop Event

1×	node limit

Counts

173 → 201

Calls

Call 1

Inputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(+.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(-.f64 0 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 eps)))))
(.f64 (sin.f64 eps) (.f64 1/2 (/.f64 2 (cos.f64 eps))))
(*.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(*.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(*.f64 -1 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(.f64 -1 (/.f64 (.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2))))
(.f64 2 (.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))))
(.f64 (.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 1/2)
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(.f64 (.f64 (sin.f64 eps) 4) (*.f64 (/.f64 1 (cos.f64 eps)) 1/4))
(.f64 (.f64 (sin.f64 eps) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
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(*.f64 4 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) 1/4)
(.f64 (.f64 (sin.f64 eps) 8) (/.f64 1 (*.f64 (cos.f64 eps) 8)))
(.f64 1/2 (.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))))
(*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))))
(.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (.f64 (cos.f64 eps) 2) (*.f64 2 (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)))))
(.f64 (/.f64 1/2 (cos.f64 eps)) (.f64 (sin.f64 eps) 2))
(.f64 (.f64 (sin.f64 eps) -2) (/.f64 1/2 (neg.f64 (cos.f64 eps))))
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(.f64 (.f64 (sin.f64 eps) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 eps) 2))))
(.f64 (.f64 2 (/.f64 1 (cos.f64 eps))) (*.f64 (sin.f64 eps) 1/2))
(*.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) -1)
(.f64 (.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps))) (/.f64 2 (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))))
(.f64 (/.f64 1/2 (sin.f64 eps)) (/.f64 (.f64 (cos.f64 eps) 2) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))))
(.f64 (/.f64 2 (cos.f64 eps)) (.f64 (sin.f64 eps) 1/2))
(.f64 (.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))) 2)
(*.f64 (/.f64 -1 (sin.f64 eps)) (/.f64 (neg.f64 (cos.f64 eps)) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))))
(.f64 (.f64 (sin.f64 eps) 1/2) (*.f64 2 (/.f64 1 (cos.f64 eps))))
(.f64 (.f64 (sin.f64 eps) 1/2) (/.f64 2 (cos.f64 eps)))
(.f64 1/4 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4))
(.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 2 (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)))))
(.f64 (/.f64 (/.f64 1 (cos.f64 eps)) 4) (.f64 (sin.f64 eps) 4))
(*.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 eps)))
(.f64 (.f64 (/.f64 1 (cos.f64 eps)) 1/4) (*.f64 (sin.f64 eps) 4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (cos.f64 eps)))) (sin.f64 eps))
(.f64 (.f64 1/2 (/.f64 2 (cos.f64 eps))) (sin.f64 eps))
(*.f64 (/.f64 1 (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(.f64 (/.f64 (.f64 (cos.f64 eps) 2) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (/.f64 1/2 (sin.f64 eps)))
(.f64 (/.f64 2 (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps))))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (/.f64 1 (sin.f64 eps)))
(*.f64 (/.f64 (neg.f64 (cos.f64 eps)) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (/.f64 -1 (sin.f64 eps)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (cos.f64 eps))
(.f64 (/.f64 1 (.f64 2 (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(.f64 (/.f64 (.f64 (cos.f64 eps) 2) (*.f64 2 (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)))) (/.f64 1 (sin.f64 eps)))
(.f64 (/.f64 2 (.f64 2 (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(.f64 (/.f64 (.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2))) -1)
(.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 4)) 4)
(.f64 (.f64 1/2 (/.f64 1/2 (cos.f64 eps))) (*.f64 (sin.f64 eps) 4))
(.f64 (/.f64 1/2 (neg.f64 (cos.f64 eps))) (.f64 (sin.f64 eps) -2))
(.f64 (/.f64 1/2 (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(.f64 (/.f64 (cos.f64 eps) (.f64 2 (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)))) (/.f64 2 (sin.f64 eps)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) 4)
(.f64 (/.f64 1 (.f64 (cos.f64 eps) 8)) (*.f64 (sin.f64 eps) 8))
(.f64 (/.f64 1 (.f64 (cos.f64 eps) -2)) (*.f64 (sin.f64 eps) -2))
(.f64 (/.f64 1 (neg.f64 (.f64 (cos.f64 eps) 2))) (*.f64 (sin.f64 eps) -2))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(neg.f64 (/.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))))
(neg.f64 (/.f64 (.f64 (sin.f64 eps) 2) (neg.f64 (.f64 (cos.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 (neg.f64 x)))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 0)
(+.f64 0 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(+.f64 -1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (tan.f64 x) -1)))
(+.f64 (tan.f64 (neg.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (tan.f64 x) -1)) -1)
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(*.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(*.f64 -1 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1/2))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2) 1/2)
(*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(*.f64 4 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2))
(.f64 1/2 (-.f64 (.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) (*.f64 (tan.f64 x) 2)))
(.f64 1/4 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1/2) 2)
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4) 4)
(.f64 (-.f64 (.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) (*.f64 (tan.f64 x) 2)) 1/2)
(/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2) 2)
(/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4) 4)
(/.f64 (*.f64 2 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4)) (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) 2)
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(neg.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
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(-.f64 (cos.f64 eps) 0)
(-.f64 0 (neg.f64 (cos.f64 eps)))
(*.f64 (cos.f64 eps) 1)
(*.f64 1 (cos.f64 eps))
(.f64 (.f64 (cos.f64 eps) 2) 1/2)
(*.f64 -1 (neg.f64 (cos.f64 eps)))
(.f64 2 (.f64 (cos.f64 eps) 1/2))
(.f64 (.f64 (cos.f64 eps) 4) 1/4)
(*.f64 (neg.f64 (cos.f64 eps)) -1)
(*.f64 4 (/.f64 (cos.f64 eps) 4))
(.f64 (.f64 (cos.f64 eps) 8) 1/8)
(.f64 1/2 (.f64 (cos.f64 eps) 2))
(.f64 1/4 (.f64 (cos.f64 eps) 4))
(.f64 (.f64 (cos.f64 eps) 1/2) 2)
(.f64 1/8 (.f64 (cos.f64 eps) 8))
(*.f64 (/.f64 (cos.f64 eps) 4) 4)
(/.f64 (cos.f64 eps) 1)
(/.f64 1 (/.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (cos.f64 eps) 2) 2)
(/.f64 -1 (/.f64 -1 (cos.f64 eps)))
(/.f64 2 (*.f64 2 (/.f64 1 (cos.f64 eps))))
(/.f64 2 (/.f64 2 (cos.f64 eps)))
(/.f64 (*.f64 (cos.f64 eps) 4) 4)
(/.f64 (neg.f64 (cos.f64 eps)) -1)
(/.f64 (*.f64 (cos.f64 eps) 8) 8)
(/.f64 (*.f64 (cos.f64 eps) -2) -2)
(/.f64 1/2 (/.f64 1/2 (cos.f64 eps)))
(/.f64 (neg.f64 (*.f64 (cos.f64 eps) 2)) -2)
(/.f64 (.f64 2 (.f64 (cos.f64 eps) 8)) 16)
(/.f64 (neg.f64 (*.f64 (cos.f64 eps) -2)) 2)
(pow.f64 (cos.f64 eps) 1)
(neg.f64 (neg.f64 (cos.f64 eps)))

Outputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5))))
(+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 2/15 (pow.f64 eps 5)) eps))
(+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 eps (.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 2/15 (pow.f64 eps 5)) (*.f64 17/315 (pow.f64 eps 7)))))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 eps (+.f64 (*.f64 1/3 (pow.f64 eps 3)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 2/15 (pow.f64 eps 5)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 2/15 (pow.f64 eps 5)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(+.f64 (neg.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1/3 (pow.f64 x 3))))
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(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (neg.f64 x) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (neg.f64 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 -2/15 (pow.f64 x 5)))))
(+.f64 (neg.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 -2/15 (pow.f64 x 5)) (.f64 -1/3 (pow.f64 x 3)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (+.f64 (neg.f64 x) (.f64 -1/3 (pow.f64 x 3))) (.f64 -2/15 (pow.f64 x 5))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 -2/15 (pow.f64 x 5)) (+.f64 (neg.f64 x) (.f64 -1/3 (pow.f64 x 3)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (.f64 1/24 (pow.f64 eps 4)) (+.f64 (.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 eps 2))) (.f64 1/24 (pow.f64 eps 4)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 eps 4)) (.f64 -1/2 (pow.f64 eps 2))))
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(.f64 (/.f64 1 (sin.f64 eps)) (.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps))))))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))
(.f64 (/.f64 2 (.f64 2 (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(.f64 (/.f64 (.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2))) -1)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 4)) 4)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (.f64 1/2 (/.f64 1/2 (cos.f64 eps))) (*.f64 (sin.f64 eps) 4))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (/.f64 1/2 (neg.f64 (cos.f64 eps))) (.f64 (sin.f64 eps) -2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (/.f64 1/2 (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))) (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1/2))))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) 2)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(.f64 (/.f64 (cos.f64 eps) (.f64 2 (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps)))) (/.f64 2 (sin.f64 eps)))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1/2))))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) 2)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) 4)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (/.f64 1 (.f64 (cos.f64 eps) 8)) (*.f64 (sin.f64 eps) 8))
(.f64 (.f64 (sin.f64 eps) 8) (/.f64 1 (*.f64 (cos.f64 eps) 8)))
(.f64 (sin.f64 eps) (.f64 8 (/.f64 1/8 (cos.f64 eps))))
(.f64 (/.f64 1 (.f64 (cos.f64 eps) -2)) (*.f64 (sin.f64 eps) -2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (/.f64 1 (neg.f64 (.f64 (cos.f64 eps) 2))) (*.f64 (sin.f64 eps) -2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))))
(*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps))))
(.f64 (/.f64 1 (sin.f64 eps)) (.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps))))))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))
(neg.f64 (/.f64 (.f64 (sin.f64 eps) 2) (neg.f64 (.f64 (cos.f64 eps) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 (neg.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 0)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 0 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 -1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (tan.f64 x) -1)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (tan.f64 (neg.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (tan.f64 x) -1)) -1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 -1 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1/2))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2) 1/2)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 4 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4) 1/4)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 1/2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 1/2 (-.f64 (.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) (*.f64 (tan.f64 x) 2)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 1/4 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1/2) 2)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4) 4)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 (-.f64 (.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) (*.f64 (tan.f64 x) 2)) 1/2)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 2) 2)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4) 4)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (*.f64 2 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))) -2)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4)) 8)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4)) (.f64 2 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 4))) 16)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (neg.f64 (*.f64 2 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))) 2)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(+.f64 0 (cos.f64 eps))
(cos.f64 eps)
(-.f64 (cos.f64 eps) 0)
(cos.f64 eps)
(-.f64 0 (neg.f64 (cos.f64 eps)))
(cos.f64 eps)
(*.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(*.f64 1 (cos.f64 eps))
(cos.f64 eps)
(.f64 (.f64 (cos.f64 eps) 2) 1/2)
(cos.f64 eps)
(*.f64 -1 (neg.f64 (cos.f64 eps)))
(cos.f64 eps)
(.f64 2 (.f64 (cos.f64 eps) 1/2))
(cos.f64 eps)
(.f64 (.f64 (cos.f64 eps) 4) 1/4)
(cos.f64 eps)
(*.f64 (neg.f64 (cos.f64 eps)) -1)
(cos.f64 eps)
(*.f64 4 (/.f64 (cos.f64 eps) 4))
(cos.f64 eps)
(.f64 (.f64 (cos.f64 eps) 8) 1/8)
(cos.f64 eps)
(.f64 1/2 (.f64 (cos.f64 eps) 2))
(cos.f64 eps)
(.f64 1/4 (.f64 (cos.f64 eps) 4))
(cos.f64 eps)
(.f64 (.f64 (cos.f64 eps) 1/2) 2)
(cos.f64 eps)
(.f64 1/8 (.f64 (cos.f64 eps) 8))
(cos.f64 eps)
(*.f64 (/.f64 (cos.f64 eps) 4) 4)
(cos.f64 eps)
(/.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(/.f64 1 (/.f64 1 (cos.f64 eps)))
(cos.f64 eps)
(/.f64 (*.f64 (cos.f64 eps) 2) 2)
(cos.f64 eps)
(/.f64 -1 (/.f64 -1 (cos.f64 eps)))
(cos.f64 eps)
(/.f64 2 (*.f64 2 (/.f64 1 (cos.f64 eps))))
(cos.f64 eps)
(/.f64 2 (/.f64 2 (cos.f64 eps)))
(cos.f64 eps)
(/.f64 (*.f64 (cos.f64 eps) 4) 4)
(cos.f64 eps)
(/.f64 (neg.f64 (cos.f64 eps)) -1)
(cos.f64 eps)
(/.f64 (*.f64 (cos.f64 eps) 8) 8)
(cos.f64 eps)
(/.f64 (*.f64 (cos.f64 eps) -2) -2)
(cos.f64 eps)
(/.f64 1/2 (/.f64 1/2 (cos.f64 eps)))
(cos.f64 eps)
(/.f64 (neg.f64 (*.f64 (cos.f64 eps) 2)) -2)
(cos.f64 eps)
(/.f64 (.f64 2 (.f64 (cos.f64 eps) 8)) 16)
(cos.f64 eps)
(/.f64 (neg.f64 (*.f64 (cos.f64 eps) -2)) 2)
(cos.f64 eps)
(pow.f64 (cos.f64 eps) 1)
(cos.f64 eps)
(neg.f64 (neg.f64 (cos.f64 eps)))
(cos.f64 eps)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sin.f64 x) (cos.f64 x))
✓	0.2b	(pow.f64 (sin.f64 x) 2)
✓	0.2b	(pow.f64 (cos.f64 x) 2)
✓	6.4b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))

Compiler

Compiled 99 to 51 computations (48.5% saved)

series6.0ms (0%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))
1.0ms	x	@	inf	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))
1.0ms	x	@	-inf	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))
1.0ms	eps	@	inf	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))
1.0ms	eps	@	-inf	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`rational.json-1`
1784×	`rational.json-2`
1784×	`rational.json-4`
1784×	`rational.json-3`
1768×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	106
1	130	106
2	318	106
3	784	106
4	2104	106
5	5765	106

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))
(pow.f64 (cos.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (sin.f64 x) (cos.f64 x))

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

simplify132.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

984×	`rational.json-simplify-61`
964×	`rational.json-simplify-51`
890×	`rational.json-simplify-49`
820×	`rational.json-simplify-39`
754×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	246	4268
1	506	4244
2	1327	4238
3	4363	4220
4	6890	4220

Stop Event

1×	node limit

Counts

144 → 166

Calls

Call 1

Inputs
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 2/3 (.f64 eps (pow.f64 x 4))) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))
(+.f64 -1 (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (-.f64 (tan.f64 x) 1)))
(+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))
(+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (neg.f64 (tan.f64 x)))
(+.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 0)
(+.f64 0 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))))
(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(+.f64 (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (neg.f64 (tan.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))
(+.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (-.f64 (tan.f64 x) 1)) -1)
(.f64 2 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 2))
(.f64 -1 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))
(.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1)
(.f64 1 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))))
(.f64 (.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))) 1/2)
(.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) -1)
(.f64 1/2 (.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))))
(.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 2) 2)
(/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1)
(/.f64 (.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))) 2)
(/.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) -1)
(/.f64 (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4)) 8)
(/.f64 (.f64 2 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4)) (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4))) 16)
(pow.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1)
(neg.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) 2))
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)
(.f64 (.f64 (pow.f64 (cos.f64 x) 2) 4) 1/4)
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(*.f64 4 (pow.f64 (/.f64 (cos.f64 x) 2) 2))
(.f64 1/2 (.f64 2 (pow.f64 (cos.f64 x) 2)))
(.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) 4))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 2) 2)
(.f64 (pow.f64 (.f64 (cos.f64 x) 4) 2) 1/16)
(/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(/.f64 -1 (-.f64 0 (/.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 1 (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2)
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 4)
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(/.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 4)) 8)
(/.f64 (*.f64 2 (neg.f64 (pow.f64 (cos.f64 x) 2))) -2)
(/.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 4))) 16)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))))
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(*.f64 4 (pow.f64 (/.f64 (sin.f64 x) 2) 2))
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) 2)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 x) 2) 4))
(.f64 (pow.f64 (.f64 (sin.f64 x) 4) 2) 1/16)
(*.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 4)) 8)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 4))) 16)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0)
(+.f64 0 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0)
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(.f64 2 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) 2)))
(.f64 2 (.f64 (/.f64 1/2 (cos.f64 x)) (sin.f64 x)))
(*.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (/.f64 1/2 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (cos.f64 x)) 1/2))
(.f64 (.f64 (sin.f64 x) (/.f64 2 (cos.f64 x))) 1/2)
(.f64 (.f64 (sin.f64 x) 4) (/.f64 1/2 (*.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (cos.f64 x)))
(.f64 (/.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2))
(.f64 1/2 (.f64 (sin.f64 x) (/.f64 2 (cos.f64 x))))
(.f64 (.f64 (/.f64 1 (cos.f64 x)) 1/2) (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) -1)
(.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) 2)) 2)
(.f64 (/.f64 1/2 (.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) 4))
(*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))

Outputs
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 eps (*.f64 eps (pow.f64 x 2)))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(+.f64 eps (+.f64 (.f64 eps (.f64 (pow.f64 x 4) 2/3)) (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 2/3 (.f64 eps (pow.f64 x 4))) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 eps (.f64 (pow.f64 x 4) 2/3)) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 eps (.f64 2/3 (pow.f64 x 4))) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(+.f64 (+.f64 eps (.f64 eps (.f64 17/45 (pow.f64 x 6)))) (.f64 eps (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4)))))
(+.f64 eps (.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(-.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1) (.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/3))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1) (+.f64 (.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 6) -2/45))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 1/3) (.f64 (pow.f64 x 6) -2/45))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) 1/3) (.f64 (pow.f64 x 6) -2/45)))
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/3))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 6) 2/45)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 6) 2/45) (.f64 (pow.f64 x 4) -1/3)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) -1/3) (.f64 (pow.f64 x 6) 2/45)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (.f64 (pow.f64 x 6) 2/45) (+.f64 (pow.f64 x 2) (*.f64 -1/315 (pow.f64 x 8)))))
(+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (*.f64 (pow.f64 x 6) 2/45))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (.f64 (pow.f64 x 6) 2/45) (.f64 -1/315 (pow.f64 x 8))) (*.f64 (pow.f64 x 4) -1/3)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) -1/3) (+.f64 (.f64 (pow.f64 x 6) 2/45) (*.f64 -1/315 (pow.f64 x 8)))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (*.f64 17/315 (pow.f64 x 7))))
(+.f64 (.f64 2/15 (pow.f64 x 5)) (+.f64 (+.f64 x (.f64 1/3 (pow.f64 x 3))) (*.f64 17/315 (pow.f64 x 7))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 2/15 (pow.f64 x 5)) (*.f64 17/315 (pow.f64 x 7)))))
(+.f64 x (+.f64 (.f64 2/15 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 17/315 (pow.f64 x 7)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x)))
(+.f64 -1 (-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (-.f64 (tan.f64 x) 1)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x)))
(+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x)))
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(.f64 2 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 2))
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(.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1)
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(.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) -1)
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(.f64 1/2 (.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x)))
(.f64 (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 2) 2)
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(/.f64 (.f64 2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x)))) 2)
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(/.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))) -1)
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(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4)) 8)
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(/.f64 (.f64 2 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))) -2)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4)) (.f64 2 (.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 4))) 16)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x)))
(pow.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (tan.f64 x))) 1)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x)))
(neg.f64 (-.f64 (tan.f64 x) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (tan.f64 x)))
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(-.f64 (pow.f64 (cos.f64 x) 2) 0)
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(*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) 2))
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(*.f64 1 (pow.f64 (cos.f64 x) 2))
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(.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)
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(.f64 (.f64 (pow.f64 (cos.f64 x) 2) 4) 1/4)
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(*.f64 4 (pow.f64 (/.f64 (cos.f64 x) 2) 2))
(.f64 1/2 (.f64 2 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) 4))
(pow.f64 (cos.f64 x) 2)
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 2) 2)
(pow.f64 (cos.f64 x) 2)
(.f64 (pow.f64 (.f64 (cos.f64 x) 4) 2) 1/16)
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(/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))))
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(/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2)
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(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 4)
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(/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
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(/.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 4)) 8)
(pow.f64 (cos.f64 x) 2)
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(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 4))) 16)
(pow.f64 (cos.f64 x) 2)
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(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
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(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)
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(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) 2)
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(.f64 1/4 (.f64 (pow.f64 (sin.f64 x) 2) 4))
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(.f64 (pow.f64 (.f64 (sin.f64 x) 4) 2) 1/16)
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(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
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(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 4)) 8)
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(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0)
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(.f64 2 (.f64 (/.f64 1/2 (cos.f64 x)) (sin.f64 x)))
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(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(.f64 (.f64 (sin.f64 x) (/.f64 2 (cos.f64 x))) 1/2)
(.f64 (sin.f64 x) (.f64 (/.f64 2 (cos.f64 x)) 1/2))
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(.f64 (sin.f64 x) (.f64 4 (/.f64 1/2 (*.f64 2 (cos.f64 x)))))
(.f64 4 (.f64 (/.f64 1/4 (cos.f64 x)) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 4 (/.f64 1/4 (cos.f64 x))))
(*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(.f64 (/.f64 1/2 (cos.f64 x)) (.f64 (sin.f64 x) 2))
(.f64 2 (.f64 (sin.f64 x) (/.f64 1/2 (cos.f64 x))))
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(.f64 (sin.f64 x) (.f64 (/.f64 2 (cos.f64 x)) 1/2))
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(*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) -1)
(/.f64 (sin.f64 x) (cos.f64 x))
(.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) 2)) 2)
(/.f64 (sin.f64 x) (cos.f64 x))
(.f64 (/.f64 1/2 (.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) 4))
(.f64 (sin.f64 x) (.f64 4 (/.f64 1/2 (*.f64 2 (cos.f64 x)))))
(.f64 4 (.f64 (/.f64 1/4 (cos.f64 x)) (sin.f64 x)))
(.f64 (sin.f64 x) (.f64 4 (/.f64 1/4 (cos.f64 x))))
(*.f64 (/.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1)
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))

localize66.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (cos.f64 x) 2)
✓	0.2b	(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))))
✓	2.9b	(.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2)))
✓	6.4b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))))) (tan.f64 x))

Compiler

Compiled 217 to 118 computations (45.6% saved)

series8.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))))) (tan.f64 x))
1.0ms	x	@	-inf	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))))) (tan.f64 x))
1.0ms	eps	@	inf	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))))) (tan.f64 x))
1.0ms	eps	@	0	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))))) (tan.f64 x))
1.0ms	x	@	0	(.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2)))

rewrite107.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1920×	`rational.json-1`
1920×	`rational.json-2`
1920×	`rational.json-3`
1224×	`rational.json-simplify-35`
1048×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	313
1	168	237
2	410	237
3	1029	237
4	2894	237
5	6940	237

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs

(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))))) (tan.f64 x))

(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2)))

(+.f64 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))))

Outputs

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simplify4.1s (10.2%)

Algorithm

1×	egg-herbie

Rules

1370×	`rational.json-simplify-35`
1162×	`rational.json-simplify-49`
1002×	`rational.json-simplify-61`
730×	`rational.json-simplify-44`
712×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	14448
1	687	14240
2	1803	12344
3	6346	12344

Stop Event

1×	node limit

Counts

166 → 134

Calls

Call 1

Inputs
eps
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
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(/.f64 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 4)) (.f64 2 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 4))) 16)
(pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 1)

Outputs
eps
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 (pow.f64 eps 2) x)))
(+.f64 eps (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 eps (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 eps (.f64 eps (pow.f64 x 2))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 5/6) (*.f64 (pow.f64 eps 2) -1/2)) (pow.f64 x 3)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 eps (.f64 (.f64 (pow.f64 eps 2) 4/3) (pow.f64 x 3)))))
(+.f64 (+.f64 eps (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 4/3 (pow.f64 x 3))) (.f64 eps (pow.f64 x 2))))
(+.f64 (+.f64 eps (.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (pow.f64 eps 2) (.f64 4/3 (pow.f64 x 3)))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
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(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
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(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
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(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
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(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
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(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
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(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
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(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
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(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(.f64 (.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x))))
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(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
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(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
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(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
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(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x))))
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(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(*.f64 (pow.f64 eps 2) x)
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(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 5/6) (.f64 (pow.f64 eps 2) -1/2)) (pow.f64 x 3)))
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(+.f64 (.f64 (-.f64 (.f64 61/120 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (.f64 -1/2 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2)))))) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (.f64 (pow.f64 eps 2) x)))
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(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(.f64 1 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(.f64 2 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 2))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 1)
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 2 (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))) 1/2)
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(.f64 (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (+.f64 eps (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 eps (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x))))))
(.f64 1/2 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 2 (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (+.f64 eps (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 eps (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x))))))
(.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 2) 2)
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 1)
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 2 (+.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))) 2)
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 4) 4)
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 (.f64 2 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 4)) 8)
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 4)) (.f64 2 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 4))) 16)
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) 1)
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (*.f64 (sin.f64 x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))

eval5.5s (13.8%)

Compiler: Compiled 31578 to 17639 computations (44.1% saved)

prune610.0ms (1.5%)

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	1033	23	1056
Fresh	6	7	13
Picked	1	0	1
Done	3	2	5
Total	1043	32	1075

Error

10.2b

Counts

1075 → 32

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.5b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	50.5b	(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (tan.f64 x))
	49.7b	(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
	51.8b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) 1)) (pow.f64 eps 2))))) (tan.f64 x))
	51.8b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (tan.f64 x))
	37.4b	(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (+.f64 (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2))) (pow.f64 (neg.f64 x) 3)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) (tan.f64 x))
	37.3b	(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) (tan.f64 x))
✓	35.7b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	27.0b	(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
✓	27.3b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
▶	27.5b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	29.6b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (.f64 (sin.f64 eps) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1)) (cos.f64 eps)))))
	32.2b	(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
	28.3b	(+.f64 (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (.f64 (pow.f64 eps 3) (neg.f64 (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
	28.5b	(+.f64 (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (.f64 (+.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))) -1/3)) (pow.f64 eps 4)))))
▶	44.7b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x)))
	29.7b	(+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))))
	45.2b	(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 eps (.f64 (pow.f64 x 4) 2/3)) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
	45.1b	(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
	44.9b	(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
▶	28.4b	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))
	42.9b	(+.f64 eps (*.f64 (pow.f64 eps 2) x))
	45.1b	(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4)))))
	45.2b	(+.f64 eps (.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6)))))
	44.4b	(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
	45.4b	(+.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 1)))
	46.2b	(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))
▶	61.1b	(+.f64 1 -1)
	28.4b	(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
	28.0b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
	59.6b	(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
	41.4b	eps

Compiler

Compiled 1801 to 1222 computations (32.1% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 eps)
	0.1b	(/.f64 (sin.f64 eps) (cos.f64 eps))

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f64 -1 (tan.f64 x))
✓	0.2b	(+.f64 (tan.f64 (+.f64 x eps)) 1)
✓	1.3b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x)))
	2.0b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 36 to 16 computations (55.6% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite303.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`exponential.json-3`
1516×	`rational.json-1`
1516×	`rational.json-2`
1516×	`rational.json-4`
1516×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	97	50
2	213	50
3	444	44
4	919	42
5	1911	42
6	3409	42
7	5244	42
8	6203	42
9	6899	42
10	7698	42

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x)))
(+.f64 (tan.f64 (+.f64 x eps)) 1)

Outputs

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

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

simplify265.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1766×	`rational.json-simplify-35`
1060×	`rational.json-simplify-41`
884×	`rational.json-simplify-2`
808×	`rational.json-simplify-1`
736×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	206	5254
1	517	5030
2	1190	4778
3	2752	4398
4	4869	4398
5	5596	4398
6	6879	4398

Stop Event

1×	node limit

Counts

90 → 140

Calls

Call 1

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

Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 eps))) (cos.f64 eps)) (+.f64 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (.f64 (.f64 (sin.f64 eps) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (pow.f64 x 2) (cos.f64 eps))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (.f64 (sin.f64 eps) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (.f64 (sin.f64 eps) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 x 2) (cos.f64 eps))))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (.f64 (sin.f64 eps) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (pow.f64 x 2) (cos.f64 eps))))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (.f64 (sin.f64 eps) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 x 2) (cos.f64 eps))))))
(+.f64 (/.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2))) (cos.f64 eps)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (+.f64 1/2 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (.f64 (.f64 (pow.f64 x 2) (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (.f64 -1 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (.f64 (pow.f64 x 3) -1))))
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) -1/2) (+.f64 (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) 1/2))) (neg.f64 (pow.f64 x 3))) (.f64 (sin.f64 eps) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (cos.f64 eps)))))
(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))) (+.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (pow.f64 x 2) (cos.f64 eps)))) (.f64 (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (neg.f64 (pow.f64 x 3)))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 eps) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (pow.f64 x 2) (cos.f64 eps)))) (.f64 (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)) (+.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6))) (neg.f64 (pow.f64 x 3))))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 eps) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 x 2) (cos.f64 eps)))) (.f64 (+.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) -1/2)) (+.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6))) (neg.f64 (pow.f64 x 3))))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 eps) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 (pow.f64 x 2) (cos.f64 eps)))) (.f64 (+.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) -1/2)) (+.f64 1/2 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6))) (pow.f64 (neg.f64 x) 3)))))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (-.f64 eps (.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 x -1))) (cos.f64 (-.f64 eps (.f64 x -1)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (-.f64 eps (.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 x -1))) (cos.f64 (-.f64 eps (.f64 x -1)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (-.f64 eps (.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 x -1))) (cos.f64 (-.f64 eps (.f64 x -1)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 -1 x))) (cos.f64 (-.f64 eps (.f64 -1 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 x -1))) (cos.f64 (-.f64 eps (.f64 x -1)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (cos.f64 (-.f64 eps (neg.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (cos.f64 (-.f64 x (neg.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (.f64 (pow.f64 eps 2) (.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (cos.f64 x)))
(+.f64 (.f64 eps (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (.f64 (.f64 (sin.f64 x) (-.f64 1 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (cos.f64 x)))))
(+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (.f64 (sin.f64 x) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))
(.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
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(.f64 1/2 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 2))
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(.f64 1/2 (+.f64 (.f64 (+.f64 1 (tan.f64 x)) -2) (+.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2))))
(.f64 1/2 (+.f64 (.f64 (+.f64 1 (tan.f64 x)) -2) (+.f64 2 (*.f64 2 (tan.f64 (+.f64 eps x))))))
(.f64 1/2 (+.f64 (.f64 2 (tan.f64 (+.f64 eps x))) (+.f64 (*.f64 (+.f64 1 (tan.f64 x)) -2) 2)))
(.f64 1/2 (+.f64 (.f64 2 (tan.f64 (+.f64 eps x))) (+.f64 2 (*.f64 (+.f64 1 (tan.f64 x)) -2))))
(.f64 1/2 (+.f64 2 (+.f64 (.f64 (+.f64 1 (tan.f64 x)) -2) (*.f64 2 (tan.f64 (+.f64 eps x))))))
(.f64 1/4 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 4))
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 1/2) 2)
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 4) 4)
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(/.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 1)
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 2) 2)
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 4) 4)
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 8) 8)
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 8)) 16)
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 8))) 32)
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 8)))) 64)
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) 1)
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) -1)
(+.f64 1 (tan.f64 (+.f64 eps x)))
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 0)
(+.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) 1))
(+.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 1)
(+.f64 1 (tan.f64 (+.f64 eps x)))
(.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 1/2))
(+.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 4 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 4))
(+.f64 1 (tan.f64 (+.f64 eps x)))
(.f64 (+.f64 2 (.f64 (tan.f64 (+.f64 x eps)) 2)) 1/2)
(.f64 1/2 (+.f64 2 (.f64 2 (tan.f64 (+.f64 eps x)))))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 4) 1/4)
(+.f64 1 (tan.f64 (+.f64 eps x)))
(.f64 1/2 (+.f64 2 (.f64 (tan.f64 (+.f64 x eps)) 2)))
(.f64 1/2 (+.f64 2 (.f64 2 (tan.f64 (+.f64 eps x)))))
(.f64 1/4 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 4))
(+.f64 1 (tan.f64 (+.f64 eps x)))
(.f64 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 1/2) 2)
(+.f64 1 (tan.f64 (+.f64 eps x)))
(*.f64 (/.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 4) 4)
(+.f64 1 (tan.f64 (+.f64 eps x)))
(/.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 1)
(+.f64 1 (tan.f64 (+.f64 eps x)))
(/.f64 (+.f64 2 (*.f64 (tan.f64 (+.f64 x eps)) 2)) 2)
(/.f64 (+.f64 2 (*.f64 2 (tan.f64 (+.f64 eps x)))) 2)
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 4) 4)
(+.f64 1 (tan.f64 (+.f64 eps x)))
(/.f64 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 8) 8)
(+.f64 1 (tan.f64 (+.f64 eps x)))
(/.f64 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 8)) 16)
(+.f64 1 (tan.f64 (+.f64 eps x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 8))) 32)
(+.f64 1 (tan.f64 (+.f64 eps x)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 8)))) 64)
(+.f64 1 (tan.f64 (+.f64 eps x)))
(pow.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) 1)
(+.f64 1 (tan.f64 (+.f64 eps x)))

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	0.1b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	0.2b	(pow.f64 (sin.f64 eps) 2)
	4.1b	(*.f64 (pow.f64 (sin.f64 eps) 2) x)

Compiler

Compiled 47 to 23 computations (51.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite173.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`rational.json-1`
1632×	`rational.json-2`
1632×	`rational.json-4`
1632×	`rational.json-3`
1622×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	104	37
2	236	37
3	540	37
4	1354	37
5	4610	37

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Outputs

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

simplify191.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2262×	`rational.json-simplify-1`
1314×	`rational.json-simplify-41`
1062×	`rational.json-simplify-2`
1062×	`rational.json-simplify-35`
694×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	1388
1	123	1388
2	274	1382
3	613	1382
4	1325	1382
5	3048	1382
6	3445	1382
7	3723	1382
8	4514	1382
9	5100	1382
10	6169	1382
11	7784	1382

Stop Event

1×	node limit

Counts

40 → 31

Calls

Call 1

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

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

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (sin.f64 x) 2)
	0.2b	(pow.f64 (cos.f64 x) 2)
✓	0.2b	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))
✓	2.9b	(.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))

Compiler

Compiled 130 to 74 computations (43.1% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))
0.0ms	x	@	0	(.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))
0.0ms	eps	@	inf	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))
0.0ms	x	@	-inf	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))
0.0ms	x	@	inf	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`rational.json-1`
1676×	`rational.json-2`
1676×	`rational.json-4`
1676×	`rational.json-3`
1660×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	174
1	136	136
2	320	136
3	783	136
4	2176	136
5	5564	136

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs

(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))

(+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))

Outputs

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

simplify122.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational.json-simplify-35`
1134×	`rational.json-simplify-49`
1058×	`rational.json-simplify-61`
858×	`rational.json-simplify-41`
768×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	8653
1	590	8463
2	1631	7213
3	6234	7213

Stop Event

1×	node limit

Counts

107 → 97

Calls

Call 1

Inputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (-.f64 (.f64 61/120 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (.f64 -1/2 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2)))))) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 (-.f64 (.f64 61/120 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (.f64 -1/2 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2)))))) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (.f64 277/1008 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 -1/2 (-.f64 (.f64 61/120 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (.f64 -1/2 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))))))) (.f64 -1/720 (pow.f64 eps 2))))) (pow.f64 x 7)) (.f64 (pow.f64 eps 2) x))))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
eps
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (pow.f64 eps 2) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (sin.f64 x))) (cos.f64 x)))
(+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) 0)
(+.f64 0 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))
(-.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) 0)
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 1 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))))
(/.f64 2 (/.f64 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))))
(/.f64 2 (+.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2)))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 eps 2)))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (/.f64 (/.f64 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))) (pow.f64 eps 2)) 2))
(/.f64 (pow.f64 eps 2) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(/.f64 (pow.f64 eps 2) (/.f64 (/.f64 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 2))
(/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2)) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) 1)
(/.f64 1 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) 2) (/.f64 (.f64 (cos.f64 x) 2) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) 2) (+.f64 (/.f64 (cos.f64 x) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (/.f64 (cos.f64 x) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2)))))
(/.f64 (.f64 (sin.f64 x) (.f64 2 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 2)
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 2 (pow.f64 eps 2))) (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 (.f64 (sin.f64 x) (/.f64 2 (cos.f64 x))) (/.f64 2 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) (/.f64 2 (cos.f64 x))) (+.f64 (/.f64 1 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (/.f64 1 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2)))))
(/.f64 (.f64 (sin.f64 x) 4) (+.f64 (/.f64 (.f64 (cos.f64 x) 2) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (/.f64 (.f64 (cos.f64 x) 2) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2)))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))))
(/.f64 4 (+.f64 (/.f64 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (/.f64 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2)))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (*.f64 (pow.f64 eps 2) 4))) 4)
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (pow.f64 eps 2) 4)) (.f64 2 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))))
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (pow.f64 eps 2) 4)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) (+.f64 (/.f64 2 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (/.f64 2 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2)))))
(/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (/.f64 (pow.f64 eps 2) (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(/.f64 (.f64 (sin.f64 x) -2) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2)))))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (pow.f64 eps 2) 4))) (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4)))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (pow.f64 eps 2) 4)))) 8)
(/.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (pow.f64 eps 2) 4)) (/.f64 (cos.f64 x) (sin.f64 x))) 4)
(/.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2)) 2) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 2))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (+.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (/.f64 (pow.f64 eps 2) (cos.f64 x))) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (pow.f64 eps 2) 4)))) (.f64 2 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (pow.f64 eps 2) 4))))) 16)
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (pow.f64 eps 2) 4)) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (pow.f64 eps 2) 4)) (/.f64 (cos.f64 x) (sin.f64 x)))) 8)
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2))) (neg.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2)))) (+.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 2 (pow.f64 eps 2)))) (neg.f64 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (neg.f64 (/.f64 1 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (pow.f64 eps 2)))) (/.f64 (cos.f64 x) (sin.f64 x)))
(pow.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) 1)
(-.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 0)
(.f64 2 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 2))
(.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))
(.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 1)
(.f64 1 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))))
(.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 2 (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))) 1/2)
(.f64 (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))))
(.f64 1/2 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 2 (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))))
(.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 2) 2)
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 1)
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (.f64 2 (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))) 2)
(/.f64 (.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 4)) (.f64 2 (.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 4))) 16)
(pow.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 1)

Outputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 5/6) (.f64 (pow.f64 eps 2) -1/2)) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (*.f64 (pow.f64 eps 2) 4/3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 2) (*.f64 4/3 (pow.f64 x 3))))
(+.f64 (.f64 (-.f64 (.f64 61/120 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (.f64 -1/2 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2)))))) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (.f64 (pow.f64 eps 2) x)))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 5/6) (.f64 (pow.f64 eps 2) -1/2)) (pow.f64 x 3))) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 61/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (.f64 -1/2 (-.f64 (.f64 (pow.f64 eps 2) 5/6) (.f64 (pow.f64 eps 2) -1/2))))) (pow.f64 x 5)))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 (-.f64 (.f64 (pow.f64 eps 2) 61/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (.f64 -1/2 (.f64 (pow.f64 eps 2) 4/3)))) (pow.f64 x 5)) (.f64 (.f64 (pow.f64 eps 2) 4/3) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 (pow.f64 eps 2) (.f64 4/3 (pow.f64 x 3))) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 61/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (*.f64 (pow.f64 eps 2) -2/3))) (pow.f64 x 5))))
(+.f64 (.f64 (-.f64 (.f64 61/120 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (.f64 -1/2 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2)))))) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 (.f64 277/1008 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 -1/2 (-.f64 (.f64 61/120 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (.f64 -1/2 (-.f64 (.f64 5/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))))))) (.f64 -1/720 (pow.f64 eps 2))))) (pow.f64 x 7)) (.f64 (pow.f64 eps 2) x))))
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(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (sin.f64 x) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 4)) (.f64 2 (.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 4))) 16)
(+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (sin.f64 x) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))
(pow.f64 (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))) 1)
(+.f64 (/.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (sin.f64 x) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))

eval1.3s (3.3%)

Compiler: Compiled 25762 to 15277 computations (40.7% saved)

prune685.0ms (1.7%)

Pruning

48 alts after pruning (43 fresh and 5 done)

	Pruned	Kept	Total
New	847	24	871
Fresh	6	19	25
Picked	1	0	1
Done	1	5	6
Total	855	48	903

Error

10.1b

Counts

903 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	35.8b	(/.f64 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))
	41.2b	(/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
✓	25.5b	(/.f64 (sin.f64 eps) (cos.f64 eps))
▶	39.4b	(/.f64 (sin.f64 eps) 1)
	50.5b	(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (tan.f64 x))
	49.7b	(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
	37.4b	(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (+.f64 (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2))) (pow.f64 (neg.f64 x) 3)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) (tan.f64 x))
	37.3b	(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) (tan.f64 x))
✓	35.7b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	27.0b	(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
▶	27.2b	(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
✓	27.3b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	29.6b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (.f64 (sin.f64 eps) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (pow.f64 x 2) (cos.f64 eps))))))
	32.2b	(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
✓	44.7b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x)))
	46.2b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 x))
	27.5b	(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	28.3b	(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3))))
	28.5b	(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (cos.f64 x))) (.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))) -1/3)) (pow.f64 eps 4)))))
	29.7b	(+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))))
	45.2b	(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 eps (.f64 (pow.f64 x 4) 2/3)) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
	45.1b	(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
	44.9b	(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
	28.5b	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1) (pow.f64 eps 2))))
	28.4b	(+.f64 (.f64 eps (-.f64 (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))
	42.9b	(+.f64 eps (*.f64 (pow.f64 eps 2) x))
	45.1b	(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4)))))
	45.2b	(+.f64 eps (.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6)))))
	41.9b	(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
	44.4b	(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
	45.4b	(+.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 1)))
	46.2b	(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))
✓	61.1b	(+.f64 1 -1)
	39.4b	(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
	35.9b	(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)))
	35.9b	(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
	35.9b	(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
▶	25.6b	(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
▶	25.5b	(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
▶	28.4b	(.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
	43.4b	(.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))))
	35.9b	(.f64 (cos.f64 eps) (/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (sin.f64 eps)))
	36.0b	(.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)))))
	35.9b	(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) 2)))
	35.9b	(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1/2))))
	28.0b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
	59.6b	(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
	41.4b	eps

Compiler

Compiled 2262 to 1518 computations (32.9% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 eps)
✓	0.1b	(/.f64 1 (cos.f64 eps))
✓	0.2b	(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	-inf	(/.f64 1 (cos.f64 eps))
0.0ms	eps	@	inf	(/.f64 1 (cos.f64 eps))
0.0ms	eps	@	0	(/.f64 1 (cos.f64 eps))
0.0ms	eps	@	0	(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
0.0ms	eps	@	inf	(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))

rewrite97.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`rational.json-1`
1676×	`rational.json-2`
1676×	`rational.json-3`
1214×	`rational.json-simplify-35`
846×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	73	26
2	179	26
3	391	26
4	924	26
5	2802	26
6	7065	26

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(/.f64 1 (cos.f64 eps))

Outputs

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

simplify94.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1396×	`rational.json-simplify-35`
1354×	`rational.json-simplify-61`
1336×	`rational.json-simplify-49`
908×	`rational.json-simplify-46`
836×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	1752
1	670	1752
2	1803	1746
3	6291	1746

Stop Event

1×	node limit

Counts

106 → 110

Calls

Call 1

Inputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
1
(+.f64 1 (*.f64 1/2 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 5/24 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 eps 6)) (+.f64 (.f64 1/2 (pow.f64 eps 2)) (*.f64 5/24 (pow.f64 eps 4)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(+.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))) (.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (cos.f64 eps)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(/.f64 -1 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))))
(/.f64 -1 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 4 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) 2) (.f64 (cos.f64 eps) 2))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 2)
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps)))
(/.f64 (/.f64 2 (cos.f64 eps)) (+.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))
(/.f64 8 (.f64 2 (.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 8 (/.f64 (*.f64 (cos.f64 eps) 8) (sin.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 4 (cos.f64 eps))) 4)
(/.f64 (.f64 (sin.f64 eps) 4) (.f64 (cos.f64 eps) 4))
(/.f64 -2 (neg.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))))
(/.f64 -2 (+.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps)))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 (/.f64 4 (cos.f64 eps)) (+.f64 (/.f64 2 (sin.f64 eps)) (/.f64 2 (sin.f64 eps))))
(/.f64 1/2 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 16 (+.f64 (/.f64 (.f64 (cos.f64 eps) 8) (sin.f64 eps)) (/.f64 (.f64 (cos.f64 eps) 8) (sin.f64 eps))))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (.f64 2 (.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))))))
(/.f64 (.f64 (sin.f64 eps) 8) (.f64 (cos.f64 eps) 8))
(/.f64 -4 (+.f64 (neg.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) (neg.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8) 8)
(/.f64 (.f64 (sin.f64 eps) -2) (.f64 (cos.f64 eps) -2))
(/.f64 (.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))) (.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))))
(/.f64 (.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (.f64 2 (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))) 1/2)
(/.f64 (.f64 (sin.f64 eps) 1/2) (.f64 (cos.f64 eps) 1/2))
(/.f64 (.f64 (sin.f64 eps) 1/2) (/.f64 (.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 eps) 2)))
(/.f64 -1/2 (-.f64 0 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))))
(/.f64 (.f64 2 (.f64 (sin.f64 eps) 8)) (.f64 2 (.f64 (cos.f64 eps) 8)))
(/.f64 (.f64 2 (.f64 (sin.f64 eps) -2)) (*.f64 (neg.f64 (cos.f64 eps)) 4))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) 8)) (neg.f64 (.f64 (cos.f64 eps) 8)))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) 8) (cos.f64 eps)) 8)
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) -1)
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8)) 16)
(/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) 1/4)
(/.f64 (neg.f64 (.f64 (sin.f64 eps) 4)) (neg.f64 (.f64 (cos.f64 eps) 4)))
(/.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (-.f64 0 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) -2)) (.f64 (cos.f64 eps) 2))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 4)) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 4))) 1/2)
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 eps) 4)) (neg.f64 (.f64 (sin.f64 eps) 4))) (.f64 2 (neg.f64 (.f64 (cos.f64 eps) 4))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8)) (.f64 2 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 eps) -2)) (.f64 2 (.f64 (sin.f64 eps) -2))) (.f64 2 (.f64 (neg.f64 (cos.f64 eps)) 4)))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) 8) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) 8) (cos.f64 eps))) 16)
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps)))) -2)
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 eps) -2)) (neg.f64 (.f64 (sin.f64 eps) -2))) (*.f64 (cos.f64 eps) 4))
(/.f64 (neg.f64 (/.f64 1 (cos.f64 eps))) (-.f64 0 (/.f64 1 (sin.f64 eps))))
(/.f64 (neg.f64 (/.f64 2 (cos.f64 eps))) (-.f64 0 (/.f64 2 (sin.f64 eps))))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) 1/2)) (-.f64 0 (.f64 (cos.f64 eps) 1/2)))
(/.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 eps) -2))) (-.f64 0 (*.f64 (neg.f64 (cos.f64 eps)) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 eps) 4))) (.f64 (cos.f64 eps) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 eps) 4))) (-.f64 0 (neg.f64 (.f64 (cos.f64 eps) 4))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 eps) -2))) (.f64 (cos.f64 eps) -2))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(+.f64 (/.f64 1 (cos.f64 eps)) 0)
(+.f64 0 (/.f64 1 (cos.f64 eps)))
(+.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 1/2 (cos.f64 eps)))
(-.f64 (/.f64 1 (cos.f64 eps)) 0)
(*.f64 1 (/.f64 1 (cos.f64 eps)))
(.f64 (cos.f64 eps) (/.f64 1 (.f64 (cos.f64 eps) (cos.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) 1)
(*.f64 2 (/.f64 1/2 (cos.f64 eps)))
(.f64 (.f64 (cos.f64 eps) 2) (/.f64 1/2 (*.f64 (cos.f64 eps) (cos.f64 eps))))
(*.f64 4 (/.f64 (/.f64 1 (cos.f64 eps)) 4))
(*.f64 (/.f64 2 (cos.f64 eps)) 1/2)
(*.f64 (/.f64 4 (cos.f64 eps)) 1/4)
(*.f64 1/2 (/.f64 2 (cos.f64 eps)))
(*.f64 (/.f64 1/2 (cos.f64 eps)) 2)
(*.f64 1/4 (/.f64 4 (cos.f64 eps)))
(.f64 (.f64 (cos.f64 eps) 1/2) (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps))))
(.f64 (/.f64 1 (.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps))
(.f64 (/.f64 2 (.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) 1/2))
(*.f64 (/.f64 (/.f64 1 (cos.f64 eps)) 4) 4)
(.f64 (/.f64 1/2 (.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) 2))
(pow.f64 (/.f64 1 (cos.f64 eps)) 1)
(neg.f64 (/.f64 -1 (cos.f64 eps)))

Outputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5))))
(+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 eps (.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 2/15 (pow.f64 eps 5)) (*.f64 17/315 (pow.f64 eps 7)))))
(+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 eps (+.f64 (.f64 2/15 (pow.f64 eps 5)) (*.f64 17/315 (pow.f64 eps 7)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
1
(+.f64 1 (*.f64 1/2 (pow.f64 eps 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 5/24 (pow.f64 eps 4))))
(+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 1 (.f64 5/24 (pow.f64 eps 4))))
(+.f64 1 (+.f64 (.f64 61/720 (pow.f64 eps 6)) (+.f64 (.f64 1/2 (pow.f64 eps 2)) (*.f64 5/24 (pow.f64 eps 4)))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 5/24 (pow.f64 eps 4)) (*.f64 61/720 (pow.f64 eps 6)))))
(+.f64 1 (+.f64 (.f64 5/24 (pow.f64 eps 4)) (+.f64 (.f64 1/2 (pow.f64 eps 2)) (*.f64 61/720 (pow.f64 eps 6)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))) (.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 -1 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 -1 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 4 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (sin.f64 eps) 2) (.f64 (cos.f64 eps) 2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 2 (cos.f64 eps)) (+.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 8 (.f64 2 (.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 8 (/.f64 (*.f64 (cos.f64 eps) 8) (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 4 (cos.f64 eps))) 4)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (sin.f64 eps) 4) (.f64 (cos.f64 eps) 4))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 -2 (neg.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 -2 (+.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 4 (cos.f64 eps)) (+.f64 (/.f64 2 (sin.f64 eps)) (/.f64 2 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 1/2 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 16 (+.f64 (/.f64 (.f64 (cos.f64 eps) 8) (sin.f64 eps)) (/.f64 (.f64 (cos.f64 eps) 8) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (.f64 2 (.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (sin.f64 eps) 8) (.f64 (cos.f64 eps) 8))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 -4 (+.f64 (neg.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) (neg.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8) 8)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (sin.f64 eps) -2) (.f64 (cos.f64 eps) -2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))) (.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 4 (.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (/.f64 4 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (.f64 (sin.f64 eps) 2) (.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))
(/.f64 (.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (.f64 2 (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))) 1/2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (sin.f64 eps) 1/2) (.f64 (cos.f64 eps) 1/2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 (sin.f64 eps) 1/2) (/.f64 (.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 -1/2 (-.f64 0 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 2 (.f64 (sin.f64 eps) 8)) (.f64 2 (.f64 (cos.f64 eps) 8)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 2 (.f64 (sin.f64 eps) -2)) (*.f64 (neg.f64 (cos.f64 eps)) 4))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) 8)) (neg.f64 (.f64 (cos.f64 eps) 8)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) 8) (cos.f64 eps)) 8)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) -1)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8)) 16)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) 1/4)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) 4)) (neg.f64 (.f64 (cos.f64 eps) 4)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 (cos.f64 eps) (sin.f64 eps))) (-.f64 0 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) -2)) (.f64 (cos.f64 eps) 2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 4)) (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 4))) 1/2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 eps) 4)) (neg.f64 (.f64 (sin.f64 eps) 4))) (.f64 2 (neg.f64 (.f64 (cos.f64 eps) 4))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8)) (.f64 2 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 8))) 32)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (.f64 2 (.f64 (sin.f64 eps) -2)) (.f64 2 (.f64 (sin.f64 eps) -2))) (.f64 2 (.f64 (neg.f64 (cos.f64 eps)) 4)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (.f64 (sin.f64 eps) 8) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) 8) (cos.f64 eps))) 16)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps)))) -2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 eps) -2)) (neg.f64 (.f64 (sin.f64 eps) -2))) (*.f64 (cos.f64 eps) 4))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 1 (cos.f64 eps))) (-.f64 0 (/.f64 1 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 2 (cos.f64 eps))) (-.f64 0 (/.f64 2 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) 1/2)) (-.f64 0 (.f64 (cos.f64 eps) 1/2)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 eps) -2))) (-.f64 0 (*.f64 (neg.f64 (cos.f64 eps)) 4)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 eps) 4))) (.f64 (cos.f64 eps) 4))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 eps) 4))) (-.f64 0 (neg.f64 (.f64 (cos.f64 eps) 4))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 eps) -2))) (.f64 (cos.f64 eps) -2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 1 (cos.f64 eps)) 0)
(/.f64 1 (cos.f64 eps))
(+.f64 0 (/.f64 1 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))
(+.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 1/2 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))
(-.f64 (/.f64 1 (cos.f64 eps)) 0)
(/.f64 1 (cos.f64 eps))
(*.f64 1 (/.f64 1 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))
(.f64 (cos.f64 eps) (/.f64 1 (.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 1 (cos.f64 eps))
(*.f64 (/.f64 1 (cos.f64 eps)) 1)
(/.f64 1 (cos.f64 eps))
(*.f64 2 (/.f64 1/2 (cos.f64 eps)))
(.f64 (.f64 (cos.f64 eps) 2) (/.f64 1/2 (*.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 1 (cos.f64 eps))
(*.f64 4 (/.f64 (/.f64 1 (cos.f64 eps)) 4))
(/.f64 1 (cos.f64 eps))
(*.f64 (/.f64 2 (cos.f64 eps)) 1/2)
(*.f64 1/2 (/.f64 2 (cos.f64 eps)))
(*.f64 (/.f64 4 (cos.f64 eps)) 1/4)
(*.f64 1/2 (/.f64 2 (cos.f64 eps)))
(*.f64 (/.f64 1/2 (cos.f64 eps)) 2)
(*.f64 2 (/.f64 1/2 (cos.f64 eps)))
(*.f64 1/4 (/.f64 4 (cos.f64 eps)))
(*.f64 (/.f64 4 (cos.f64 eps)) 1/4)
(.f64 (.f64 (cos.f64 eps) 1/2) (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps))))
(.f64 (cos.f64 eps) (.f64 1/2 (/.f64 (/.f64 2 (cos.f64 eps)) (cos.f64 eps))))
(.f64 (cos.f64 eps) (.f64 1/2 (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps)))))
(.f64 (/.f64 1 (.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps))
(/.f64 1 (cos.f64 eps))
(.f64 (/.f64 2 (.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) 1/2))
(.f64 (.f64 (cos.f64 eps) 1/2) (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps))))
(.f64 (cos.f64 eps) (.f64 1/2 (/.f64 (/.f64 2 (cos.f64 eps)) (cos.f64 eps))))
(.f64 (cos.f64 eps) (.f64 1/2 (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 eps)) 4) 4)
(/.f64 1 (cos.f64 eps))
(.f64 (/.f64 1/2 (.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) 2))
(/.f64 1 (cos.f64 eps))
(pow.f64 (/.f64 1 (cos.f64 eps)) 1)
(/.f64 1 (cos.f64 eps))
(neg.f64 (/.f64 -1 (cos.f64 eps)))
(/.f64 1 (cos.f64 eps))

localize5.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 eps))
	0.1b	(/.f64 1 (cos.f64 eps))
✓	0.2b	(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
✓	0.2b	(/.f64 1 (/.f64 1 (sin.f64 eps)))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series1.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(/.f64 1 (sin.f64 eps))
0.0ms	eps	@	-inf	(/.f64 1 (sin.f64 eps))
0.0ms	eps	@	0	(/.f64 1 (sin.f64 eps))
0.0ms	eps	@	0	(/.f64 1 (/.f64 1 (sin.f64 eps)))
0.0ms	eps	@	0	(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))

rewrite81.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`exponential.json-3`
1046×	`rational.json-1`
1046×	`rational.json-2`
1046×	`rational.json-4`
1046×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	91	31
2	228	31
3	595	31
4	2795	31

Stop Event

1×	node limit

Counts

3 → 207

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (sin.f64 eps)))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(/.f64 1 (sin.f64 eps))

Outputs

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

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

simplify113.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1502×	`rational.json-simplify-35`
1230×	`rational.json-simplify-50`
1182×	`rational.json-simplify-49`
938×	`rational.json-simplify-46`
880×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	436	3829
1	1530	3695
2	6747	3695

Stop Event

1×	node limit

Counts

235 → 253

Calls

Call 1

Inputs
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 1/6 eps))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 1/6 eps) (.f64 7/360 (pow.f64 eps 3))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 1/6 eps) (+.f64 (.f64 7/360 (pow.f64 eps 3)) (*.f64 31/15120 (pow.f64 eps 5)))))
(+.f64 (sin.f64 eps) 0)
(+.f64 (sin.f64 eps) (/.f64 0 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (/.f64 0 (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(+.f64 0 (sin.f64 eps))
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 eps))))
(-.f64 (sin.f64 eps) 0)
(-.f64 0 (neg.f64 (sin.f64 eps)))
(*.f64 1 (sin.f64 eps))
(*.f64 (sin.f64 eps) 1)
(.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (/.f64 1 (sin.f64 eps))))
(*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (sin.f64 eps)))
(.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 eps)))
(*.f64 2 (/.f64 (sin.f64 eps) 2))
(.f64 2 (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 2 (sin.f64 eps)))))
(.f64 (.f64 (sin.f64 eps) 2) 1/2)
(.f64 (/.f64 2 (sin.f64 eps)) (/.f64 1 (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 2 (sin.f64 eps)))))
(*.f64 -1 (neg.f64 (sin.f64 eps)))
(.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))
(.f64 (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 (sin.f64 eps) (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(.f64 (.f64 (sin.f64 eps) 4) 1/4)
(*.f64 (neg.f64 (sin.f64 eps)) -1)
(.f64 (.f64 (sin.f64 eps) (/.f64 1 (sin.f64 eps))) (sin.f64 eps))
(.f64 1/2 (.f64 (sin.f64 eps) 2))
(*.f64 (/.f64 (sin.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) 2)) (/.f64 (/.f64 1 (sin.f64 eps)) 2))
(.f64 (/.f64 2 (.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 2 (sin.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (sin.f64 eps)) (sin.f64 eps))
(.f64 (/.f64 (sin.f64 eps) (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps)))) (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(.f64 1/4 (.f64 (sin.f64 eps) 4))
(*.f64 (/.f64 (sin.f64 eps) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 2 (sin.f64 eps)))) (/.f64 2 (sin.f64 eps)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 eps)) 2) (/.f64 (sin.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) 2)))
(.f64 (/.f64 (sin.f64 eps) (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 2 (sin.f64 eps)))) (/.f64 2 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 2 (sin.f64 eps)))) 2)
(pow.f64 (sin.f64 eps) 1)
(neg.f64 (neg.f64 (sin.f64 eps)))
(sin.f64 eps)
(sin.f64 (-.f64 (PI.f64) eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(+.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 1 (-.f64 0 (*.f64 (cos.f64 eps) (neg.f64 (/.f64 1 (sin.f64 eps))))))
(/.f64 1 (-.f64 0 (*.f64 (/.f64 1 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (/.f64 1 (cos.f64 eps)) 2)))
(/.f64 (sin.f64 eps) (/.f64 (*.f64 (sin.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 2 (cos.f64 eps))))
(/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 1 (cos.f64 eps))))
(/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (cos.f64 eps) (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (sin.f64 eps)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (sin.f64 eps) (/.f64 1 (sin.f64 eps))))
(/.f64 2 (/.f64 (*.f64 (cos.f64 eps) 2) (sin.f64 eps)))
(/.f64 (.f64 (cos.f64 eps) 2) (.f64 (/.f64 2 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) 2) (.f64 (cos.f64 eps) 2))
(/.f64 (.f64 (sin.f64 eps) 2) (+.f64 (.f64 (cos.f64 eps) 2) (/.f64 0 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (.f64 (sin.f64 eps) 2) (-.f64 0 (.f64 2 (neg.f64 (cos.f64 eps)))))
(/.f64 (.f64 (sin.f64 eps) 2) (-.f64 0 (neg.f64 (.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 2 (sin.f64 eps)) (.f64 (cos.f64 eps) (.f64 (/.f64 1 (sin.f64 eps)) (/.f64 2 (sin.f64 eps)))))
(/.f64 -1 (*.f64 (cos.f64 eps) (neg.f64 (/.f64 1 (sin.f64 eps)))))
(/.f64 -1 (*.f64 (/.f64 1 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(/.f64 -1 (/.f64 (/.f64 1 (sin.f64 eps)) (neg.f64 (/.f64 1 (cos.f64 eps)))))
(/.f64 -1 (-.f64 0 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (/.f64 (.f64 (sin.f64 eps) 2) (/.f64 2 (cos.f64 eps))))
(/.f64 (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 (/.f64 (/.f64 2 (sin.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 eps))) (*.f64 (/.f64 1 (cos.f64 eps)) 2)))
(/.f64 (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 (/.f64 (/.f64 2 (sin.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 2 (cos.f64 eps))))
(/.f64 4 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 4 (/.f64 (*.f64 (cos.f64 eps) 4) (sin.f64 eps)))
(/.f64 4 (/.f64 (*.f64 (/.f64 1 (sin.f64 eps)) 4) (/.f64 1 (cos.f64 eps))))
(/.f64 (.f64 (/.f64 1 (sin.f64 eps)) 4) (.f64 (.f64 (cos.f64 eps) 4) (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 2) (/.f64 2 (sin.f64 eps)))
(/.f64 (.f64 (sin.f64 eps) 4) (.f64 (cos.f64 eps) 4))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 8 (.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) 4)))
(/.f64 -2 (*.f64 (/.f64 2 (sin.f64 eps)) (neg.f64 (cos.f64 eps))))
(/.f64 -2 (.f64 2 (.f64 (cos.f64 eps) (neg.f64 (/.f64 1 (sin.f64 eps))))))
(/.f64 -2 (*.f64 (cos.f64 eps) (neg.f64 (/.f64 2 (sin.f64 eps)))))
(/.f64 -2 (.f64 (/.f64 1 (sin.f64 eps)) (neg.f64 (.f64 (cos.f64 eps) 2))))
(/.f64 -2 (-.f64 0 (/.f64 (*.f64 (cos.f64 eps) 2) (sin.f64 eps))))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) 4)
(/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) 2) (/.f64 1 (cos.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) 4) (/.f64 2 (cos.f64 eps))))
(/.f64 (.f64 (/.f64 1 (cos.f64 eps)) 4) (.f64 (/.f64 1 (sin.f64 eps)) 4))
(/.f64 (.f64 2 (neg.f64 (sin.f64 eps))) (.f64 2 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 2 (neg.f64 (sin.f64 eps))) (/.f64 -2 (/.f64 1 (cos.f64 eps))))
(/.f64 (.f64 2 (.f64 (sin.f64 eps) 4)) (.f64 (.f64 (cos.f64 eps) 2) 4))
(/.f64 (.f64 2 (.f64 (sin.f64 eps) 4)) (/.f64 8 (/.f64 1 (cos.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2))) (.f64 (.f64 (cos.f64 eps) 2) (.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 2)
(/.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (/.f64 1 (sin.f64 eps))))
(/.f64 (/.f64 4 (cos.f64 eps)) (*.f64 (/.f64 1 (sin.f64 eps)) 4))
(/.f64 (.f64 (sin.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 (.f64 (cos.f64 eps) 2) (sin.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 1 (sin.f64 eps))) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (neg.f64 (/.f64 1 (cos.f64 eps))) (neg.f64 (/.f64 1 (sin.f64 eps))))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) 2)) (neg.f64 (.f64 (cos.f64 eps) 2)))
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) 2)) (/.f64 -2 (/.f64 1 (cos.f64 eps))))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4)) 8)
(/.f64 (.f64 2 (/.f64 2 (cos.f64 eps))) (.f64 (/.f64 1 (sin.f64 eps)) 4))
(/.f64 (.f64 2 (/.f64 -1 (cos.f64 eps))) (.f64 2 (neg.f64 (/.f64 1 (sin.f64 eps)))))
(/.f64 (.f64 2 (/.f64 4 (cos.f64 eps))) (.f64 (/.f64 2 (sin.f64 eps)) 4))
(/.f64 (.f64 2 (neg.f64 (/.f64 1 (cos.f64 eps)))) (.f64 2 (neg.f64 (/.f64 1 (sin.f64 eps)))))
(/.f64 (/.f64 (/.f64 2 (sin.f64 eps)) (cos.f64 eps)) (*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 2 (sin.f64 eps))))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) 4) (cos.f64 eps)) 4)
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) -1)
(/.f64 (/.f64 8 (cos.f64 eps)) (*.f64 (/.f64 2 (sin.f64 eps)) 4))
(/.f64 (/.f64 -2 (cos.f64 eps)) (*.f64 2 (neg.f64 (/.f64 1 (sin.f64 eps)))))
(/.f64 (/.f64 -2 (cos.f64 eps)) (neg.f64 (/.f64 2 (sin.f64 eps))))
(/.f64 (/.f64 8 (/.f64 1 (sin.f64 eps))) (.f64 (.f64 (cos.f64 eps) 2) 4))
(/.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps))) (*.f64 2 (neg.f64 (cos.f64 eps))))
(/.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps))) (neg.f64 (*.f64 (cos.f64 eps) 2)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 4) (/.f64 1 (sin.f64 eps))) 4)
(/.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (cos.f64 eps)) (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2))) (.f64 (cos.f64 eps) 2)) (*.f64 (sin.f64 eps) (sin.f64 eps)))
(/.f64 (/.f64 (.f64 (sin.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (cos.f64 eps) 2)) (/.f64 1 (sin.f64 eps)))
(/.f64 (/.f64 (cos.f64 eps) (/.f64 1 (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 eps)))
(/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 2)) 1/2)
(/.f64 (/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 2 (sin.f64 eps))) 1/2)
(/.f64 (/.f64 (.f64 (/.f64 1 (cos.f64 eps)) 2) (sin.f64 eps)) (/.f64 2 (.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (/.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (/.f64 (/.f64 2 (cos.f64 eps)) (sin.f64 eps)) (/.f64 2 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 1 (sin.f64 eps))) 2)
(/.f64 (/.f64 (/.f64 2 (cos.f64 eps)) (.f64 (sin.f64 eps) 2)) (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (/.f64 (/.f64 4 (cos.f64 eps)) 2) (/.f64 2 (sin.f64 eps)))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) (/.f64 2 (sin.f64 eps)))) (-.f64 0 (/.f64 (.f64 (cos.f64 eps) 2) (sin.f64 eps))))
(/.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 2)) (neg.f64 (/.f64 2 (sin.f64 eps))))
(/.f64 (neg.f64 (/.f64 2 (cos.f64 eps))) (neg.f64 (/.f64 2 (sin.f64 eps))))
(/.f64 (neg.f64 (/.f64 -1 (cos.f64 eps))) (/.f64 1 (sin.f64 eps)))
(/.f64 (neg.f64 (/.f64 4 (cos.f64 eps))) (neg.f64 (*.f64 (/.f64 1 (sin.f64 eps)) 4)))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) 4)) (neg.f64 (.f64 (cos.f64 eps) 4)))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (cos.f64 eps)))) (/.f64 1 (sin.f64 eps)))
(/.f64 (neg.f64 (.f64 (/.f64 1 (cos.f64 eps)) 4)) (neg.f64 (.f64 (/.f64 1 (sin.f64 eps)) 4)))
(/.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 eps) 4))) (-.f64 0 (.f64 (.f64 (cos.f64 eps) 2) 4)))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (sin.f64 eps)) (cos.f64 eps))) (-.f64 0 (*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 2 (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 2))) (/.f64 2 (sin.f64 eps)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 2))) (-.f64 0 (neg.f64 (/.f64 2 (sin.f64 eps)))))
(/.f64 (neg.f64 (/.f64 8 (/.f64 1 (sin.f64 eps)))) (-.f64 0 (.f64 (.f64 (cos.f64 eps) 2) 4)))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps)))) (*.f64 (cos.f64 eps) 2))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps)))) (-.f64 0 (*.f64 2 (neg.f64 (cos.f64 eps)))))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps)))) (-.f64 0 (neg.f64 (*.f64 (cos.f64 eps) 2))))
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) (/.f64 1 (sin.f64 eps)))) (-.f64 0 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 0 (*.f64 (sin.f64 eps) (/.f64 1 (sin.f64 eps)))))
(/.f64 (neg.f64 (.f64 2 (/.f64 2 (cos.f64 eps)))) (neg.f64 (.f64 (/.f64 1 (sin.f64 eps)) 4)))
(/.f64 (neg.f64 (.f64 2 (/.f64 -1 (cos.f64 eps)))) (-.f64 0 (.f64 2 (neg.f64 (/.f64 1 (sin.f64 eps))))))
(/.f64 (neg.f64 (.f64 2 (/.f64 4 (cos.f64 eps)))) (-.f64 0 (.f64 (/.f64 2 (sin.f64 eps)) 4)))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (/.f64 1 (cos.f64 eps))))) (-.f64 0 (.f64 2 (neg.f64 (/.f64 1 (sin.f64 eps))))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (cos.f64 eps))) (neg.f64 (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps))) (neg.f64 (sin.f64 eps)))
(/.f64 (neg.f64 (/.f64 8 (cos.f64 eps))) (-.f64 0 (*.f64 (/.f64 2 (sin.f64 eps)) 4)))
(/.f64 (neg.f64 (/.f64 -2 (cos.f64 eps))) (/.f64 2 (sin.f64 eps)))
(/.f64 (neg.f64 (/.f64 -2 (cos.f64 eps))) (-.f64 0 (*.f64 2 (neg.f64 (/.f64 1 (sin.f64 eps))))))
(/.f64 (neg.f64 (/.f64 -2 (cos.f64 eps))) (-.f64 0 (neg.f64 (/.f64 2 (sin.f64 eps)))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2))) (.f64 (cos.f64 eps) 2))) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (cos.f64 eps) 2))) (neg.f64 (/.f64 1 (sin.f64 eps))))
(/.f64 (neg.f64 (/.f64 (cos.f64 eps) (/.f64 1 (sin.f64 eps)))) (-.f64 0 (*.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 1 (cos.f64 eps)) 2) (sin.f64 eps))) (-.f64 0 (/.f64 2 (.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))) (neg.f64 (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (cos.f64 eps)) (sin.f64 eps))) (-.f64 0 (/.f64 2 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (cos.f64 eps)) (.f64 (sin.f64 eps) 2))) (neg.f64 (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (neg.f64 (/.f64 (/.f64 4 (cos.f64 eps)) 2)) (neg.f64 (/.f64 2 (sin.f64 eps))))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (cos.f64 eps)))) (/.f64 2 (sin.f64 eps)))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (cos.f64 eps)))) (-.f64 0 (neg.f64 (/.f64 2 (sin.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 -1 (cos.f64 eps)))) (neg.f64 (/.f64 1 (sin.f64 eps))))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (cos.f64 eps)))) (*.f64 (/.f64 1 (sin.f64 eps)) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 eps) 4))) (.f64 (cos.f64 eps) 4))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 1 (cos.f64 eps))))) (neg.f64 (/.f64 1 (sin.f64 eps))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(+.f64 (/.f64 1 (sin.f64 eps)) 0)
(+.f64 (/.f64 1 (sin.f64 eps)) (/.f64 0 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(+.f64 (/.f64 1 (sin.f64 eps)) (/.f64 0 (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(+.f64 0 (/.f64 1 (sin.f64 eps)))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (sin.f64 eps)))))
(-.f64 (/.f64 1 (sin.f64 eps)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (sin.f64 eps))))
(*.f64 1 (/.f64 1 (sin.f64 eps)))
(.f64 (sin.f64 eps) (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps))))
(*.f64 (/.f64 1 (sin.f64 eps)) 1)
(.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (/.f64 1 (sin.f64 eps))))
(*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 eps)) 2))
(.f64 2 (/.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) 2))))
(.f64 (.f64 (sin.f64 eps) 2) (/.f64 1 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2))))
(*.f64 (/.f64 2 (sin.f64 eps)) 1/2)
(*.f64 -1 (neg.f64 (/.f64 1 (sin.f64 eps))))
(.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (/.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 eps))))
(.f64 (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps))) (sin.f64 eps))
(.f64 (.f64 (/.f64 1 (sin.f64 eps)) 4) 1/4)
(*.f64 (neg.f64 (/.f64 1 (sin.f64 eps))) -1)
(.f64 (.f64 (sin.f64 eps) (/.f64 1 (sin.f64 eps))) (/.f64 1 (sin.f64 eps)))
(*.f64 1/2 (/.f64 2 (sin.f64 eps)))
(.f64 (/.f64 (sin.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) 2)) (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) 2))))
(.f64 (/.f64 2 (.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 (sin.f64 eps) 2))
(*.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (/.f64 1 (sin.f64 eps)))
(.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 eps)))
(.f64 (/.f64 1 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2))) (.f64 (sin.f64 eps) 2))
(.f64 1/4 (.f64 (/.f64 1 (sin.f64 eps)) 4))
(.f64 (/.f64 (sin.f64 eps) 2) (/.f64 2 (.f64 (sin.f64 eps) (sin.f64 eps))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 eps)) 2) 2)
(.f64 (/.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) 2))) 2)
(.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) 2))) (/.f64 (sin.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) 2)))
(pow.f64 (/.f64 1 (sin.f64 eps)) 1)
(neg.f64 (neg.f64 (/.f64 1 (sin.f64 eps))))
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)))))

Outputs
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (.f64 1/120 (pow.f64 eps 5))))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/120 (pow.f64 eps 5)) eps))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 eps (.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7))) eps))
(+.f64 (.f64 -1/6 (pow.f64 eps 3)) (+.f64 eps (+.f64 (.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 3) 1/3))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 (pow.f64 eps 3) 1/3) (.f64 (pow.f64 eps 5) 2/15)))
(+.f64 (.f64 (pow.f64 eps 3) 1/3) (+.f64 eps (.f64 (pow.f64 eps 5) 2/15)))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (+.f64 (.f64 (pow.f64 eps 3) 1/3) (+.f64 (.f64 (pow.f64 eps 5) 2/15) (*.f64 (pow.f64 eps 7) 17/315))))
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(/.f64 (/.f64 -2 (cos.f64 eps)) (*.f64 2 (neg.f64 (/.f64 1 (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 -2 (cos.f64 eps)) (neg.f64 (/.f64 2 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 8 (/.f64 1 (sin.f64 eps))) (.f64 (.f64 (cos.f64 eps) 2) 4))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps))) (*.f64 2 (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps))) (neg.f64 (*.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 4) (/.f64 1 (sin.f64 eps))) 4)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (cos.f64 eps)) (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2))) (.f64 (cos.f64 eps) 2)) (*.f64 (sin.f64 eps) (sin.f64 eps)))
(/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2))))
(/.f64 (.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2)) (/.f64 1 (sin.f64 eps))) (.f64 (cos.f64 eps) 2))
(/.f64 (/.f64 (.f64 (sin.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (cos.f64 eps) 2)) (/.f64 1 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (cos.f64 eps) (/.f64 1 (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 2)) 1/2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 1 (cos.f64 eps)) (/.f64 2 (sin.f64 eps))) 1/2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (.f64 (/.f64 1 (cos.f64 eps)) 2) (sin.f64 eps)) (/.f64 2 (.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps)) (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 2 (cos.f64 eps)) (sin.f64 eps)) (/.f64 2 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 1 (sin.f64 eps))) 2)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 2 (cos.f64 eps)) (.f64 (sin.f64 eps) 2)) (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (/.f64 4 (cos.f64 eps)) 2) (/.f64 2 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) (/.f64 2 (sin.f64 eps)))) (-.f64 0 (/.f64 (.f64 (cos.f64 eps) 2) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 2)) (neg.f64 (/.f64 2 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 2 (cos.f64 eps))) (neg.f64 (/.f64 2 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 -1 (cos.f64 eps))) (/.f64 1 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 4 (cos.f64 eps))) (neg.f64 (*.f64 (/.f64 1 (sin.f64 eps)) 4)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) 4)) (neg.f64 (.f64 (cos.f64 eps) 4)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (cos.f64 eps)))) (/.f64 1 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (.f64 (/.f64 1 (cos.f64 eps)) 4)) (neg.f64 (.f64 (/.f64 1 (sin.f64 eps)) 4)))
(/.f64 (neg.f64 (.f64 4 (/.f64 1 (cos.f64 eps)))) (neg.f64 (.f64 (/.f64 1 (sin.f64 eps)) 4)))
(/.f64 (.f64 4 (/.f64 -1 (cos.f64 eps))) (.f64 (/.f64 1 (sin.f64 eps)) -4))
(/.f64 (.f64 2 (/.f64 -2 (cos.f64 eps))) (.f64 (/.f64 1 (sin.f64 eps)) -4))
(/.f64 (neg.f64 (.f64 2 (.f64 (sin.f64 eps) 4))) (-.f64 0 (.f64 (.f64 (cos.f64 eps) 2) 4)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (sin.f64 eps)) (cos.f64 eps))) (-.f64 0 (*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 2 (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 2))) (/.f64 2 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 1 (cos.f64 eps)) 2))) (-.f64 0 (neg.f64 (/.f64 2 (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 8 (/.f64 1 (sin.f64 eps)))) (-.f64 0 (.f64 (.f64 (cos.f64 eps) 2) 4)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps)))) (*.f64 (cos.f64 eps) 2))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps)))) (-.f64 0 (*.f64 2 (neg.f64 (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps)))) (-.f64 0 (neg.f64 (*.f64 (cos.f64 eps) 2))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) (/.f64 1 (sin.f64 eps)))) (-.f64 0 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 0 (*.f64 (sin.f64 eps) (/.f64 1 (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (.f64 2 (/.f64 2 (cos.f64 eps)))) (neg.f64 (.f64 (/.f64 1 (sin.f64 eps)) 4)))
(/.f64 (neg.f64 (.f64 4 (/.f64 1 (cos.f64 eps)))) (neg.f64 (.f64 (/.f64 1 (sin.f64 eps)) 4)))
(/.f64 (.f64 4 (/.f64 -1 (cos.f64 eps))) (.f64 (/.f64 1 (sin.f64 eps)) -4))
(/.f64 (.f64 2 (/.f64 -2 (cos.f64 eps))) (.f64 (/.f64 1 (sin.f64 eps)) -4))
(/.f64 (neg.f64 (.f64 2 (/.f64 -1 (cos.f64 eps)))) (-.f64 0 (.f64 2 (neg.f64 (/.f64 1 (sin.f64 eps))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (.f64 2 (/.f64 4 (cos.f64 eps)))) (-.f64 0 (.f64 (/.f64 2 (sin.f64 eps)) 4)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (/.f64 1 (cos.f64 eps))))) (-.f64 0 (.f64 2 (neg.f64 (/.f64 1 (sin.f64 eps))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (cos.f64 eps))) (neg.f64 (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps))) (neg.f64 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 8 (cos.f64 eps))) (-.f64 0 (*.f64 (/.f64 2 (sin.f64 eps)) 4)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 -2 (cos.f64 eps))) (/.f64 2 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 -2 (cos.f64 eps))) (-.f64 0 (*.f64 2 (neg.f64 (/.f64 1 (sin.f64 eps))))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 -2 (cos.f64 eps))) (-.f64 0 (neg.f64 (/.f64 2 (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2))) (.f64 (cos.f64 eps) 2))) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2))) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2))))
(/.f64 (.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2)) (/.f64 1 (sin.f64 eps))) (.f64 (cos.f64 eps) 2))
(/.f64 (neg.f64 (/.f64 (.f64 (sin.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (cos.f64 eps) 2))) (neg.f64 (/.f64 1 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 (cos.f64 eps) (/.f64 1 (sin.f64 eps)))) (-.f64 0 (*.f64 (cos.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 (.f64 (/.f64 1 (cos.f64 eps)) 2) (sin.f64 eps))) (-.f64 0 (/.f64 2 (.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))) (neg.f64 (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (cos.f64 eps)) (sin.f64 eps))) (-.f64 0 (/.f64 2 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 (/.f64 2 (cos.f64 eps)) (.f64 (sin.f64 eps) 2))) (neg.f64 (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (/.f64 (/.f64 4 (cos.f64 eps)) 2)) (neg.f64 (/.f64 2 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (cos.f64 eps)))) (/.f64 2 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (neg.f64 (/.f64 2 (cos.f64 eps)))) (-.f64 0 (neg.f64 (/.f64 2 (sin.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (neg.f64 (/.f64 -1 (cos.f64 eps)))) (neg.f64 (/.f64 1 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (neg.f64 (/.f64 4 (cos.f64 eps)))) (*.f64 (/.f64 1 (sin.f64 eps)) 4))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 eps) 4))) (.f64 (cos.f64 eps) 4))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 1 (cos.f64 eps))))) (neg.f64 (/.f64 1 (sin.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (/.f64 1 (sin.f64 eps)) 0)
(/.f64 1 (sin.f64 eps))
(+.f64 (/.f64 1 (sin.f64 eps)) (/.f64 0 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 1 (sin.f64 eps))
(+.f64 (/.f64 1 (sin.f64 eps)) (/.f64 0 (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 1 (sin.f64 eps))
(+.f64 0 (/.f64 1 (sin.f64 eps)))
(/.f64 1 (sin.f64 eps))
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (sin.f64 eps)))))
(/.f64 1 (sin.f64 eps))
(-.f64 (/.f64 1 (sin.f64 eps)) 0)
(/.f64 1 (sin.f64 eps))
(-.f64 0 (neg.f64 (/.f64 1 (sin.f64 eps))))
(/.f64 1 (sin.f64 eps))
(*.f64 1 (/.f64 1 (sin.f64 eps)))
(/.f64 1 (sin.f64 eps))
(.f64 (sin.f64 eps) (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 1 (sin.f64 eps))
(*.f64 (/.f64 1 (sin.f64 eps)) 1)
(/.f64 1 (sin.f64 eps))
(.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (/.f64 1 (sin.f64 eps))))
(/.f64 1 (sin.f64 eps))
(*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))
(/.f64 1 (sin.f64 eps))
(*.f64 2 (/.f64 (/.f64 1 (sin.f64 eps)) 2))
(/.f64 1 (sin.f64 eps))
(.f64 2 (/.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) 2))))
(/.f64 1 (sin.f64 eps))
(.f64 (.f64 (sin.f64 eps) 2) (/.f64 1 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2))))
(/.f64 1 (sin.f64 eps))
(*.f64 (/.f64 2 (sin.f64 eps)) 1/2)
(*.f64 -1 (neg.f64 (/.f64 1 (sin.f64 eps))))
(/.f64 1 (sin.f64 eps))
(.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (/.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 1 (sin.f64 eps))
(.f64 (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps))) (sin.f64 eps))
(/.f64 1 (sin.f64 eps))
(.f64 (.f64 (/.f64 1 (sin.f64 eps)) 4) 1/4)
(/.f64 1 (sin.f64 eps))
(*.f64 (neg.f64 (/.f64 1 (sin.f64 eps))) -1)
(/.f64 1 (sin.f64 eps))
(.f64 (.f64 (sin.f64 eps) (/.f64 1 (sin.f64 eps))) (/.f64 1 (sin.f64 eps)))
(/.f64 1 (sin.f64 eps))
(*.f64 1/2 (/.f64 2 (sin.f64 eps)))
(*.f64 (/.f64 2 (sin.f64 eps)) 1/2)
(.f64 (/.f64 (sin.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) 2)) (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) 2))))
(/.f64 1 (sin.f64 eps))
(.f64 (/.f64 2 (.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 (sin.f64 eps) 2))
(.f64 (/.f64 (sin.f64 eps) 2) (/.f64 2 (.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) 1/2) (.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) 1/2)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) (/.f64 1 (sin.f64 eps)))
(/.f64 1 (sin.f64 eps))
(.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 eps))) (*.f64 (sin.f64 eps) (sin.f64 eps)))
(/.f64 1 (sin.f64 eps))
(.f64 (/.f64 1 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 2))) (.f64 (sin.f64 eps) 2))
(/.f64 1 (sin.f64 eps))
(.f64 1/4 (.f64 (/.f64 1 (sin.f64 eps)) 4))
(/.f64 1 (sin.f64 eps))
(.f64 (/.f64 (sin.f64 eps) 2) (/.f64 2 (.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) 1/2) (.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) 1/2)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 eps)) 2) 2)
(/.f64 1 (sin.f64 eps))
(.f64 (/.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) 2))) 2)
(/.f64 1 (sin.f64 eps))
(.f64 (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) 2))) (/.f64 (sin.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) 2)))
(/.f64 1 (sin.f64 eps))
(pow.f64 (/.f64 1 (sin.f64 eps)) 1)
(/.f64 1 (sin.f64 eps))
(neg.f64 (neg.f64 (/.f64 1 (sin.f64 eps))))
(/.f64 1 (sin.f64 eps))
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 1 (sin.f64 eps))

localize191.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	0.2b	(pow.f64 (sin.f64 eps) 2)
✓	3.2b	(+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1)
	4.1b	(*.f64 (pow.f64 (sin.f64 eps) 2) x)

Compiler

Compiled 74 to 44 computations (40.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite106.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`rational.json-simplify-35`
1228×	`exponential.json-3`
1228×	`rational.json-1`
1228×	`rational.json-2`
1228×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	83	17
2	176	17
3	360	17
4	743	17
5	1785	17
6	3786	17
7	5844	17

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1)

Outputs

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

simplify348.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2078×	`rational.json-simplify-2`
1880×	`rational.json-simplify-35`
1806×	`rational.json-simplify-1`
808×	`rational.json-simplify-48`
792×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	1280
1	310	1280
2	710	1262
3	1782	1262
4	2955	1262
5	3842	1262
6	4493	1262
7	4915	1262
8	5728	1262
9	6115	1262
10	6741	1262
11	7167	1262
12	7865	1262

Stop Event

1×	node limit

Counts

66 → 62

Calls

Call 1

Inputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) x)) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/315 (.f64 (pow.f64 eps 8) x)) (*.f64 (pow.f64 eps 2) x))))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 0)
(-.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1)
(.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 1/2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 1)
(.f64 1 (.f64 (pow.f64 (sin.f64 eps) 2) x))
(.f64 (+.f64 x x) (.f64 (pow.f64 (sin.f64 eps) 2) 1/2))
(.f64 (.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) x)) 1/2)
(.f64 (.f64 2 (pow.f64 (sin.f64 eps) 2)) (*.f64 x 1/2))
(.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 4))
(.f64 4 (.f64 (.f64 x 1/2) (.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))
(.f64 4 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2) (.f64 x 1/2)))
(.f64 (.f64 x 4) (.f64 1/2 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 4)) 1/4)
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 4) (.f64 1/2 (.f64 x 1/2)))
(.f64 1/2 (.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(.f64 8 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/4) (.f64 x 1/2)))
(.f64 8 (.f64 (/.f64 x 4) (*.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))
(.f64 8 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 4) (*.f64 x 1/2)))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 8) (.f64 1/4 (.f64 x 1/2)))
(.f64 (.f64 x 8) (.f64 1/4 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2) (+.f64 x x))
(.f64 (.f64 x 1/2) (*.f64 2 (pow.f64 (sin.f64 eps) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 1/2)) 2)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 4)))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 4) 4)
(.f64 32 (.f64 (pow.f64 (/.f64 (sin.f64 eps) 4) 2) (*.f64 x 1/2)))
(.f64 (.f64 2 (/.f64 x 4)) (*.f64 2 (pow.f64 (sin.f64 eps) 2)))
(.f64 (.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) 1/4)) (+.f64 x x))
(.f64 (.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) 4)) (+.f64 x x))
(.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) 16)) (.f64 1/16 (*.f64 x 1/2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) x)) 2)
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 x 4)) 4)
(/.f64 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 8))))) 128)
(pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1)

Outputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 -1/3 (*.f64 x (pow.f64 eps 4))))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 x (*.f64 (pow.f64 eps 4) -1/3)))
(.f64 x (+.f64 (pow.f64 eps 2) (.f64 -1/3 (pow.f64 eps 4))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) x)) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/3 (.f64 x (pow.f64 eps 4))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 2/45 (*.f64 x (pow.f64 eps 6)))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 x (.f64 (pow.f64 eps 4) -1/3)) (.f64 x (*.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (.f64 x (.f64 -1/3 (pow.f64 eps 4))) (.f64 x (+.f64 (pow.f64 eps 2) (.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/315 (.f64 (pow.f64 eps 8) x)) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 2/45 (.f64 x (pow.f64 eps 6))) (+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 -1/315 (.f64 x (pow.f64 eps 8)))) (.f64 -1/3 (*.f64 x (pow.f64 eps 4)))))
(+.f64 (.f64 x (.f64 (pow.f64 eps 4) -1/3)) (+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 x (.f64 (pow.f64 eps 8) -1/315)) (.f64 x (*.f64 2/45 (pow.f64 eps 6))))))
(+.f64 (.f64 (pow.f64 eps 6) (.f64 x 2/45)) (+.f64 (.f64 x (.f64 -1/3 (pow.f64 eps 4))) (.f64 x (+.f64 (pow.f64 eps 2) (.f64 -1/315 (pow.f64 eps 8))))))
(+.f64 (.f64 x (.f64 -1/3 (pow.f64 eps 4))) (+.f64 (.f64 2/45 (.f64 x (pow.f64 eps 6))) (.f64 x (+.f64 (pow.f64 eps 2) (.f64 -1/315 (pow.f64 eps 8))))))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 0)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(-.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) 1)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(-.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 1/2)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 1)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 1 (.f64 (pow.f64 (sin.f64 eps) 2) x))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (+.f64 x x) (.f64 (pow.f64 (sin.f64 eps) 2) 1/2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) x)) 1/2)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 eps) 2)) (*.f64 x 1/2))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 4 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 4))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 4 (.f64 (.f64 x 1/2) (.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 4 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2) (.f64 x 1/2)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 x 4) (.f64 1/2 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 4)) 1/4)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 4) (.f64 1/2 (.f64 x 1/2)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 1/2 (.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 8 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/4) (.f64 x 1/2)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 8 (.f64 (/.f64 x 4) (*.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 8 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 4) (*.f64 x 1/2)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 8) (.f64 1/4 (.f64 x 1/2)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 x 8) (.f64 1/4 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2) (+.f64 x x))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 x 1/2) (*.f64 2 (pow.f64 (sin.f64 eps) 2)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 1/2)) 2)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 1/4 (.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 4)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 4) 4)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 32 (.f64 (pow.f64 (/.f64 (sin.f64 eps) 4) 2) (*.f64 x 1/2)))
(.f64 32 (.f64 (*.f64 x 1/2) (pow.f64 (/.f64 (sin.f64 eps) 4) 2)))
(.f64 (.f64 x 1/2) (*.f64 (pow.f64 (/.f64 (sin.f64 eps) 4) 2) 32))
(.f64 (pow.f64 (/.f64 (sin.f64 eps) 4) 2) (.f64 (*.f64 x 1/2) 32))
(.f64 x (.f64 32 (*.f64 1/2 (pow.f64 (/.f64 (sin.f64 eps) 4) 2))))
(.f64 (.f64 2 (/.f64 x 4)) (*.f64 2 (pow.f64 (sin.f64 eps) 2)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 2 (*.f64 (pow.f64 (sin.f64 eps) 2) 1/4)) (+.f64 x x))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) 4)) (+.f64 x x))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) 16)) (.f64 1/16 (*.f64 x 1/2)))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 32) (*.f64 x 1/32))
(.f64 (pow.f64 (sin.f64 eps) 2) (.f64 32 (*.f64 x 1/32)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) x)) 2)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 x 4)) 4)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(/.f64 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 8) 8)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(/.f64 (.f64 2 (.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 8)) 16)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 8))) 32)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 8)))) 64)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) 8))))) 128)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1)
(*.f64 x (pow.f64 (sin.f64 eps) 2))

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (sin.f64 x) (cos.f64 x))
	0.2b	(pow.f64 (sin.f64 x) 2)
	0.2b	(pow.f64 (cos.f64 x) 2)
✓	2.9b	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))

Compiler

Compiled 89 to 44 computations (50.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))
0.0ms	eps	@	0	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))
0.0ms	x	@	inf	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))
0.0ms	x	@	-inf	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))
0.0ms	eps	@	inf	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))

rewrite94.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1914×	`rational.json-1`
1914×	`rational.json-2`
1914×	`rational.json-4`
1914×	`rational.json-3`
708×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	78	27
2	196	27
3	466	27
4	1209	27
5	4983	27

Stop Event

1×	node limit

Counts

1 → 143

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))

Outputs

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

simplify325.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1598×	`rational.json-simplify-35`
1430×	`rational.json-simplify-2`
910×	`rational.json-simplify-51`
748×	`rational.json-simplify-44`
744×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	380	5379
1	1455	5217
2	5285	5217

Stop Event

1×	node limit

Counts

167 → 169

Calls

Call 1

Inputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (.f64 -1/2 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2)))))) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (.f64 -1/2 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2)))))) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (.f64 -1/2 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))))))) (.f64 -1/720 (pow.f64 eps 2))))) (pow.f64 x 7)) (+.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (.f64 (pow.f64 eps 2) x))))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))) 0)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(-.f64 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))) 0)
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps 2)))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (cos.f64 x) (pow.f64 eps 2)) 1))
(/.f64 (sin.f64 x) (*.f64 -1 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 1 (pow.f64 eps 2)))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (/.f64 1 (pow.f64 eps 2)) 1))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/2 (/.f64 2 (pow.f64 eps 2))))
(/.f64 2 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 2 (pow.f64 eps 2))))
(/.f64 2 (+.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (pow.f64 eps 2))) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (pow.f64 eps 2)))))
(/.f64 2 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 2 (pow.f64 eps 2))) 1))
(/.f64 (pow.f64 eps 2) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))) 1)
(/.f64 1 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (pow.f64 eps 2))))
(/.f64 1 (.f64 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (pow.f64 eps 2))) 1))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (/.f64 2 (pow.f64 eps 2))))
(/.f64 (*.f64 (sin.f64 x) 2) (+.f64 (/.f64 (cos.f64 x) (pow.f64 eps 2)) (/.f64 (cos.f64 x) (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 (*.f64 (cos.f64 x) (/.f64 2 (pow.f64 eps 2))) 1))
(/.f64 (.f64 (sin.f64 x) 2) (.f64 -2 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 eps 2)))
(/.f64 -1 (*.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) (.f64 2 (/.f64 (pow.f64 eps 2) (cos.f64 x)))) 2)
(/.f64 (.f64 2 (pow.f64 eps 2)) (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) (/.f64 2 (pow.f64 eps 2)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) (.f64 2 (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) (.f64 (/.f64 2 (pow.f64 eps 2)) 1))
(/.f64 (.f64 (sin.f64 x) 4) (+.f64 (.f64 (cos.f64 x) (/.f64 2 (pow.f64 eps 2))) (*.f64 (cos.f64 x) (/.f64 2 (pow.f64 eps 2)))))
(/.f64 (.f64 (sin.f64 x) 4) (/.f64 (.f64 (cos.f64 x) 4) (pow.f64 eps 2)))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 4 (/.f64 (cos.f64 x) (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 (*.f64 (cos.f64 x) 4) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (pow.f64 eps 2)))))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 (*.f64 (cos.f64 x) 2) (/.f64 2 (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) 4) (.f64 -4 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))))
(/.f64 (*.f64 (sin.f64 x) 4) (/.f64 4 (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (pow.f64 eps 2)))
(/.f64 (/.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2))))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2))) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (.f64 (cos.f64 x) 2)) (.f64 2 (pow.f64 eps 2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 (.f64 (cos.f64 x) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (sin.f64 x))) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))) (.f64 (.f64 2 (.f64 (cos.f64 x) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (sin.f64 x)))) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))) (.f64 (*.f64 (cos.f64 x) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (sin.f64 x))) (/.f64 2 (pow.f64 eps 2))))
(/.f64 4 (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 2 (pow.f64 eps 2))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 2 (pow.f64 eps 2)))))
(/.f64 4 (/.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4) (pow.f64 eps 2)))
(/.f64 4 (.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4) (/.f64 1 (pow.f64 eps 2))))
(/.f64 4 (.f64 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))) (/.f64 2 (pow.f64 eps 2))))
(/.f64 (.f64 (pow.f64 eps 2) 4) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4))
(/.f64 (.f64 (pow.f64 eps 2) 4) (.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4) 1))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (pow.f64 eps 2) 4)) 4)
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) (+.f64 (/.f64 2 (pow.f64 eps 2)) (/.f64 2 (pow.f64 eps 2))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) (/.f64 4 (pow.f64 eps 2)))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) (.f64 4 (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) (.f64 2 (/.f64 2 (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) 8) (/.f64 (.f64 (cos.f64 x) 8) (pow.f64 eps 2)))
(/.f64 (.f64 (sin.f64 x) 8) (.f64 8 (/.f64 (cos.f64 x) (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) 8) (.f64 (*.f64 (cos.f64 x) 8) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) 8) (.f64 4 (*.f64 (cos.f64 x) (/.f64 2 (pow.f64 eps 2)))))
(/.f64 (/.f64 (pow.f64 eps 2) (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (/.f64 1/2 (sin.f64 x))) (pow.f64 eps 2)))
(/.f64 1/2 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 2 (pow.f64 eps 2))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (/.f64 1/2 (sin.f64 x)) (pow.f64 eps 2)))
(/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2))) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))))
(/.f64 (.f64 (sin.f64 x) -2) (/.f64 (neg.f64 (.f64 (cos.f64 x) 2)) (pow.f64 eps 2)))
(/.f64 (.f64 (sin.f64 x) -2) (/.f64 (.f64 (cos.f64 x) -2) (pow.f64 eps 2)))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 (*.f64 (cos.f64 x) -2) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 (neg.f64 (*.f64 (cos.f64 x) 2)) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 (neg.f64 (cos.f64 x)) (/.f64 2 (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) -2) (.f64 2 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) (*.f64 2 (pow.f64 eps 2))))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (*.f64 8 (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 2 (.f64 (sin.f64 x) 8)) (.f64 (.f64 2 (*.f64 (cos.f64 x) 8)) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (pow.f64 eps 2) 4))) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 eps 2) 4)) (+.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4)))
(/.f64 (.f64 2 (.f64 (pow.f64 eps 2) 4)) (*.f64 8 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 eps 2) (/.f64 1/2 (cos.f64 x))) (/.f64 1/2 (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (/.f64 -1 (pow.f64 eps 2)))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (*.f64 -1 (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4) (.f64 (.f64 2 (.f64 (cos.f64 x) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (sin.f64 x)))) (/.f64 2 (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) (/.f64 1/2 (cos.f64 x))) (/.f64 1 (.f64 2 (pow.f64 eps 2))))
(/.f64 (.f64 (sin.f64 x) (/.f64 1/2 (cos.f64 x))) (.f64 1/2 (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 2 (pow.f64 eps 2))))
(/.f64 (.f64 (pow.f64 eps 2) 1/2) (.f64 (cos.f64 x) (/.f64 1/2 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (pow.f64 eps 2) (cos.f64 x)) 2)) 1/2)
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 (.f64 2 (.f64 (cos.f64 x) -2)) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 (.f64 2 (neg.f64 (.f64 (cos.f64 x) 2))) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 (neg.f64 (*.f64 (cos.f64 x) 4)) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (.f64 4 (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))))
(/.f64 (neg.f64 (.f64 (sin.f64 x) -2)) (.f64 (cos.f64 x) (/.f64 2 (pow.f64 eps 2))))
(/.f64 (neg.f64 (pow.f64 eps 2)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (pow.f64 eps 2)) (*.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) 1))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 -1 (pow.f64 eps 2)))
(/.f64 (+.f64 (/.f64 (pow.f64 eps 2) (cos.f64 x)) (/.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (pow.f64 eps 2) 4))) (.f64 2 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (pow.f64 eps 2) 4)))) 16)
(/.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (neg.f64 (pow.f64 eps 2))) (+.f64 (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 2 (pow.f64 eps 2)) (cos.f64 x)) (/.f64 2 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps 2))) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 8) (/.f64 (cos.f64 x) (pow.f64 eps 2))) 8)
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 eps 2))) (cos.f64 x))
(/.f64 (/.f64 2 (/.f64 1 (pow.f64 eps 2))) (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 1 (/.f64 1 (pow.f64 eps 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 eps 2))) (.f64 (cos.f64 x) 2))
(/.f64 (/.f64 -1 (/.f64 1 (pow.f64 eps 2))) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (/.f64 (.f64 (sin.f64 x) 4) (/.f64 1 (pow.f64 eps 2))) (.f64 (cos.f64 x) 4))
(/.f64 (/.f64 (/.f64 1 (cos.f64 x)) (/.f64 1 (pow.f64 eps 2))) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (pow.f64 eps 2))) (neg.f64 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 1 (pow.f64 eps 2))) (*.f64 (cos.f64 x) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))) (/.f64 1 (pow.f64 eps 2))) (.f64 2 (*.f64 (cos.f64 x) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (sin.f64 x)))))
(/.f64 (/.f64 4 (/.f64 1 (pow.f64 eps 2))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4))
(/.f64 (/.f64 (.f64 (sin.f64 x) 8) (/.f64 1 (pow.f64 eps 2))) (.f64 (cos.f64 x) 8))
(/.f64 (/.f64 (.f64 (sin.f64 x) -2) (/.f64 1 (pow.f64 eps 2))) (.f64 (cos.f64 x) -2))
(/.f64 (/.f64 (.f64 (sin.f64 x) -2) (/.f64 1 (pow.f64 eps 2))) (neg.f64 (.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4)) (/.f64 1 (pow.f64 eps 2))) 8)
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 x) 8)) (/.f64 1 (pow.f64 eps 2))) (.f64 2 (.f64 (cos.f64 x) 8)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (/.f64 1 (pow.f64 eps 2))) -1)
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (/.f64 1 (pow.f64 eps 2))) (.f64 2 (*.f64 (cos.f64 x) -2)))
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (/.f64 1 (pow.f64 eps 2))) (.f64 2 (neg.f64 (*.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (.f64 4 (neg.f64 (sin.f64 x))) (/.f64 1 (pow.f64 eps 2))) (neg.f64 (.f64 (cos.f64 x) 4)))
(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 x) -2)) (/.f64 1 (pow.f64 eps 2))) (.f64 (cos.f64 x) 2))
(/.f64 (/.f64 (.f64 2 (.f64 (pow.f64 eps 2) 4)) (/.f64 (cos.f64 x) (sin.f64 x))) 8)
(/.f64 (/.f64 2 (/.f64 2 (pow.f64 eps 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (/.f64 1 (/.f64 2 (pow.f64 eps 2))) (*.f64 (cos.f64 x) (/.f64 1/2 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 eps 2))) (cos.f64 x))
(/.f64 (/.f64 (.f64 (sin.f64 x) 4) (/.f64 2 (pow.f64 eps 2))) (.f64 (cos.f64 x) 2))
(/.f64 (/.f64 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))) (/.f64 2 (pow.f64 eps 2))) (.f64 (cos.f64 x) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (sin.f64 x))))
(/.f64 (/.f64 4 (/.f64 2 (pow.f64 eps 2))) (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 2 (pow.f64 eps 2))) (neg.f64 (cos.f64 x)))
(/.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4) (/.f64 2 (pow.f64 eps 2))) (.f64 2 (*.f64 (cos.f64 x) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (sin.f64 x)))))
(/.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 2 (pow.f64 eps 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))) -1)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))) -2)
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))) -4)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))) 4)
(/.f64 (/.f64 (pow.f64 eps 2) (/.f64 1 (sin.f64 x))) (cos.f64 x))
(/.f64 (/.f64 (pow.f64 eps 2) 1/2) (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 (pow.f64 eps 2) (neg.f64 (cos.f64 x))) (/.f64 -1 (sin.f64 x)))
(/.f64 (neg.f64 (.f64 2 (pow.f64 eps 2))) (-.f64 0 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))))
(/.f64 (neg.f64 (/.f64 (pow.f64 eps 2) (cos.f64 x))) (-.f64 0 (/.f64 1 (sin.f64 x))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 eps 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))) 1)

Outputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/6) (.f64 (pow.f64 eps 2) -1/2)) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (*.f64 (pow.f64 eps 2) 1/3) (pow.f64 x 3)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (.f64 -1/2 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2)))))) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/6) (.f64 (pow.f64 eps 2) -1/2)) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 1/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (.f64 -1/2 (-.f64 (.f64 (pow.f64 eps 2) -1/6) (.f64 (pow.f64 eps 2) -1/2))))) (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 (-.f64 (.f64 (pow.f64 eps 2) 1/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (.f64 -1/2 (.f64 (pow.f64 eps 2) 1/3)))) (pow.f64 x 5)) (.f64 (.f64 (pow.f64 eps 2) 1/3) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 (.f64 (pow.f64 eps 2) 1/3) (pow.f64 x 3)) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 1/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (.f64 -1/2 (.f64 (pow.f64 eps 2) 1/3)))) (pow.f64 x 5))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (.f64 -1/2 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2)))))) (pow.f64 x 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2)))) (+.f64 (.f64 -1/2 (-.f64 (.f64 1/120 (pow.f64 eps 2)) (+.f64 (.f64 1/24 (pow.f64 eps 2)) (.f64 -1/2 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))))))) (.f64 -1/720 (pow.f64 eps 2))))) (pow.f64 x 7)) (+.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 eps 2)) (.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3)) (.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 (pow.f64 eps 2) 1/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (.f64 -1/2 (-.f64 (.f64 (pow.f64 eps 2) -1/6) (.f64 (pow.f64 eps 2) -1/2)))))) (+.f64 (.f64 (pow.f64 eps 2) -1/720) (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/6) (.f64 (pow.f64 eps 2) -1/2)) 1/24)))) (pow.f64 x 7)) (+.f64 (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/6) (.f64 (pow.f64 eps 2) -1/2)) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 1/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (.f64 -1/2 (-.f64 (.f64 (pow.f64 eps 2) -1/6) (.f64 (pow.f64 eps 2) -1/2))))) (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 (-.f64 (.f64 (pow.f64 eps 2) 1/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (.f64 -1/2 (.f64 (pow.f64 eps 2) 1/3)))) (pow.f64 x 5)) (.f64 (.f64 (pow.f64 eps 2) 1/3) (pow.f64 x 3)))) (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 (pow.f64 eps 2) 1/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (.f64 -1/2 (.f64 (pow.f64 eps 2) 1/3))))) (+.f64 (.f64 (.f64 (pow.f64 eps 2) 1/3) 1/24) (.f64 (pow.f64 eps 2) -1/720)))) (pow.f64 x 7)))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 (.f64 (pow.f64 eps 2) 1/3) (pow.f64 x 3)) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 1/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (.f64 -1/2 (.f64 (pow.f64 eps 2) 1/3)))) (pow.f64 x 5)))) (.f64 (-.f64 (.f64 (pow.f64 eps 2) -1/5040) (+.f64 (.f64 -1/2 (-.f64 (.f64 (pow.f64 eps 2) 1/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (.f64 -1/2 (.f64 (pow.f64 eps 2) 1/3))))) (+.f64 (.f64 (.f64 (pow.f64 eps 2) 1/3) 1/24) (.f64 (pow.f64 eps 2) -1/720)))) (pow.f64 x 7)))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
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(/.f64 (/.f64 (neg.f64 (.f64 (sin.f64 x) -2)) (/.f64 1 (pow.f64 eps 2))) (.f64 (cos.f64 x) 2))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (.f64 2 (.f64 (pow.f64 eps 2) 4)) (/.f64 (cos.f64 x) (sin.f64 x))) 8)
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 2 (/.f64 2 (pow.f64 eps 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 1 (/.f64 2 (pow.f64 eps 2))) (*.f64 (cos.f64 x) (/.f64 1/2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 eps 2))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (.f64 (sin.f64 x) 4) (/.f64 2 (pow.f64 eps 2))) (.f64 (cos.f64 x) 2))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))) (/.f64 2 (pow.f64 eps 2))) (.f64 (cos.f64 x) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (sin.f64 x))))
(/.f64 (.f64 (/.f64 2 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 2 (pow.f64 eps 2)))) (.f64 (cos.f64 x) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (pow.f64 eps 2) (.f64 (/.f64 2 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))) (.f64 (cos.f64 x) (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))))
(.f64 (/.f64 2 (sin.f64 x)) (/.f64 (cos.f64 x) (.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) 2)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 x))))))
(/.f64 (/.f64 4 (/.f64 2 (pow.f64 eps 2))) (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) -2) (/.f64 2 (pow.f64 eps 2))) (neg.f64 (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4) (/.f64 2 (pow.f64 eps 2))) (.f64 2 (*.f64 (cos.f64 x) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4) (/.f64 2 (pow.f64 eps 2))) 2) (.f64 (cos.f64 x) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (pow.f64 eps 2) 1/2)) (.f64 (cos.f64 x) (.f64 2 (/.f64 (cos.f64 x) (.f64 (sin.f64 x) (sin.f64 x))))))
(/.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 2 (pow.f64 eps 2))) (.f64 (cos.f64 x) (.f64 2 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 x))))))
(/.f64 (/.f64 (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2)) (/.f64 2 (pow.f64 eps 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))) -1)
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))) -2)
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))) -4)
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2)))) 4)
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 eps 2) (/.f64 1 (sin.f64 x))) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 eps 2) 1/2) (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 eps 2) (neg.f64 (cos.f64 x))) (/.f64 -1 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (neg.f64 (.f64 2 (pow.f64 eps 2))) (-.f64 0 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 eps 2) (cos.f64 x))) (-.f64 0 (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 eps 2))) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))) 1)
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))

eval1.2s (3.1%)

Compiler: Compiled 20811 to 12533 computations (39.8% saved)

prune649.0ms (1.6%)

Pruning

58 alts after pruning (49 fresh and 9 done)

	Pruned	Kept	Total
New	944	21	965
Fresh	10	28	38
Picked	0	1	1
Done	1	8	9
Total	955	58	1013

Error

10.1b

Counts

1013 → 58

Alt Table

Click to see full alt table

Status	Error	Program
	35.8b	(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps))
	25.6b	(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps)))
	25.6b	(/.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps))) (*.f64 2 (neg.f64 (cos.f64 eps))))
	35.8b	(/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 eps)))
	36.0b	(/.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
✓	25.5b	(/.f64 (sin.f64 eps) (cos.f64 eps))
✓	39.4b	(/.f64 (sin.f64 eps) 1)
	25.5b	(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
	25.5b	(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
	50.5b	(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (tan.f64 x))
	49.7b	(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
	37.4b	(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (+.f64 (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2))) (pow.f64 (neg.f64 x) 3)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) (tan.f64 x))
	37.3b	(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) (tan.f64 x))
✓	35.7b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	27.0b	(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
✓	27.2b	(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
✓	27.3b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	29.6b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (.f64 (sin.f64 eps) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (pow.f64 x 2) (cos.f64 eps))))))
	32.2b	(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
✓	44.7b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x)))
	46.2b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 x))
	27.5b	(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	28.3b	(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3))))
	28.5b	(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (cos.f64 x))) (.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))) -1/3)) (pow.f64 eps 4)))))
	29.7b	(+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))))
	45.2b	(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 eps (.f64 (pow.f64 x 4) 2/3)) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
	45.1b	(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
	44.9b	(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
	28.5b	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1) (pow.f64 eps 2))))
	41.9b	(+.f64 eps (*.f64 (pow.f64 eps 3) 1/3))
	45.1b	(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4)))))
	45.2b	(+.f64 eps (.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6)))))
	44.4b	(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
	45.4b	(+.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 1)))
	46.2b	(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))
✓	61.1b	(+.f64 1 -1)
	39.4b	(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
	36.0b	(*.f64 (/.f64 (/.f64 1/2 (sin.f64 eps)) (/.f64 (/.f64 1/2 (sin.f64 eps)) (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
	36.0b	(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 4 (.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))
	35.9b	(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
	39.5b	(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) 1)
	41.4b	(*.f64 (/.f64 1 (/.f64 1 eps)) (/.f64 1 (cos.f64 eps)))
	41.1b	(.f64 (/.f64 1 (+.f64 (/.f64 1 eps) (.f64 eps 1/6))) (/.f64 1 (cos.f64 eps)))
	25.6b	(*.f64 (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (sin.f64 eps)))))) (/.f64 1 (cos.f64 eps)))
✓	25.5b	(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
✓	28.4b	(.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
	28.4b	(.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
	28.4b	(.f64 (-.f64 (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
	43.4b	(.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))))
	44.4b	(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 eps)))) (/.f64 1 (cos.f64 eps)))
	25.5b	(.f64 (.f64 (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps))
	35.9b	(.f64 (.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
	58.9b	(*.f64 (sin.f64 (-.f64 (PI.f64) eps)) (/.f64 1 (cos.f64 eps)))
	35.9b	(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1/2))))
	41.3b	(*.f64 eps (/.f64 1 (cos.f64 eps)))
	28.0b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
	59.6b	(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
	41.4b	eps

Compiler

Compiled 1287 to 889 computations (30.9% saved)

regimes322.0ms (0.8%)

Counts

87 → 3

Calls

Call 1

Inputs
eps
(+.f64 1 -1)
(/.f64 (sin.f64 eps) 1)
(*.f64 eps (/.f64 1 (cos.f64 eps)))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 (pow.f64 eps 3) 1/3))
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) 1)
(*.f64 (/.f64 1 (/.f64 1 eps)) (/.f64 1 (cos.f64 eps)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 x))
(.f64 (/.f64 1 (+.f64 (/.f64 1 eps) (.f64 eps 1/6))) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x)))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2)
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 eps)))) (/.f64 1 (cos.f64 eps)))
(/.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps))) (*.f64 2 (neg.f64 (cos.f64 eps))))
(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(*.f64 (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (sin.f64 eps)))))) (/.f64 1 (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (sin.f64 (-.f64 (PI.f64) eps)) (/.f64 1 (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (tan.f64 x))
(+.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)))
(+.f64 eps (.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 eps (.f64 (pow.f64 x 4) 2/3)) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(.f64 (.f64 (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 eps)) (/.f64 (/.f64 1/2 (sin.f64 eps)) (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (cos.f64 eps) (/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (sin.f64 eps)))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1/2))))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) 2)))
(+.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 1)))
(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 4 (.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))
(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(.f64 (-.f64 (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1) (pow.f64 eps 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) (tan.f64 x))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (tan.f64 x))
(.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))
(+.f64 (.f64 eps (-.f64 (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) 1)) (pow.f64 eps 2))))) (tan.f64 x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (.f64 (sin.f64 eps) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1)) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (.f64 (sin.f64 eps) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (pow.f64 x 2) (cos.f64 eps))))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))))) (tan.f64 x))
(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (+.f64 (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2))) (pow.f64 (neg.f64 x) 3)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) (tan.f64 x))
(+.f64 (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (.f64 (pow.f64 eps 3) (neg.f64 (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))))
(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (cos.f64 x))) (.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))) -1/3)) (pow.f64 eps 4)))))
(+.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (cos.f64 x))) (.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))) -1/3)) (pow.f64 eps 4))))))
(+.f64 (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (.f64 (+.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (.f64 (.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))) -1/3)) (pow.f64 eps 4)))))

Outputs

(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))

(+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (neg.f64 (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (*.f64 (+.f64 (*.f64 (sin.f64 x) (/.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))) -1/3)) (pow.f64 eps 4)))))

(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

Calls

3 calls:

106.0ms	eps
105.0ms	x
64.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
12.8b	3	`x`
11.7b	3	`eps`
12.1b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 2094 to 1150 computations (45.1% saved)

bsearch74.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	5.363004077809557e-8	0.043877422713226685
36.0ms	-4249.500118707813	-0.22468220776136855

Results

27.0ms	58×	body	1024	valid
26.0ms	179×	body	256	valid
7.0ms	30×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 2572 to 1743 computations (32.2% saved)

regimes787.0ms (2%)

Counts

84 → 3

Calls

Call 1

Inputs
eps
(+.f64 1 -1)
(/.f64 (sin.f64 eps) 1)
(*.f64 eps (/.f64 1 (cos.f64 eps)))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 (pow.f64 eps 3) 1/3))
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) 1)
(*.f64 (/.f64 1 (/.f64 1 eps)) (/.f64 1 (cos.f64 eps)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 x))
(.f64 (/.f64 1 (+.f64 (/.f64 1 eps) (.f64 eps 1/6))) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x)))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2)
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 eps)))) (/.f64 1 (cos.f64 eps)))
(/.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps))) (*.f64 2 (neg.f64 (cos.f64 eps))))
(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(*.f64 (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (sin.f64 eps)))))) (/.f64 1 (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (sin.f64 (-.f64 (PI.f64) eps)) (/.f64 1 (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (tan.f64 x))
(+.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)))
(+.f64 eps (.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 eps (.f64 (pow.f64 x 4) 2/3)) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(.f64 (.f64 (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 eps)) (/.f64 (/.f64 1/2 (sin.f64 eps)) (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (cos.f64 eps) (/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (sin.f64 eps)))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1/2))))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) 2)))
(+.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 1)))
(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 4 (.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))
(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(.f64 (-.f64 (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1) (pow.f64 eps 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) (tan.f64 x))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (tan.f64 x))
(.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))
(+.f64 (.f64 eps (-.f64 (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) 1)) (pow.f64 eps 2))))) (tan.f64 x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (.f64 (sin.f64 eps) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1)) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (.f64 (sin.f64 eps) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (pow.f64 x 2) (cos.f64 eps))))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))))) (tan.f64 x))
(+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (+.f64 (+.f64 1/6 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2))) (pow.f64 (neg.f64 x) 3)) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 x (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps)))))) (tan.f64 x))
(+.f64 (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (.f64 (pow.f64 eps 3) (neg.f64 (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (.f64 (+.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) -1/2)))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))))

Outputs

(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))

(+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (*.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3))))

(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

Calls

3 calls:

377.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
245.0ms	x
132.0ms	eps

Results

Error	Segments	Branch
12.8b	3	`x`
11.7b	3	`eps`
12.1b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 1662 to 874 computations (47.4% saved)

bsearch64.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	5.363004077809557e-8	0.043877422713226685
30.0ms	-4249.500118707813	-0.22468220776136855

Results

25.0ms	72×	body	1024	valid
22.0ms	164×	body	256	valid
8.0ms	32×	body	512	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 1399 to 995 computations (28.9% saved)

regimes485.0ms (1.2%)

Counts

80 → 3

Calls

Call 1

Inputs
eps
(+.f64 1 -1)
(/.f64 (sin.f64 eps) 1)
(*.f64 eps (/.f64 1 (cos.f64 eps)))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 (pow.f64 eps 3) 1/3))
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) 1)
(*.f64 (/.f64 1 (/.f64 1 eps)) (/.f64 1 (cos.f64 eps)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 x))
(.f64 (/.f64 1 (+.f64 (/.f64 1 eps) (.f64 eps 1/6))) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x)))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2)
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 eps)))) (/.f64 1 (cos.f64 eps)))
(/.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps))) (*.f64 2 (neg.f64 (cos.f64 eps))))
(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(*.f64 (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (sin.f64 eps)))))) (/.f64 1 (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (sin.f64 (-.f64 (PI.f64) eps)) (/.f64 1 (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (tan.f64 x))
(+.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)))
(+.f64 eps (.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 eps (.f64 (pow.f64 x 4) 2/3)) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(.f64 (.f64 (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 eps)) (/.f64 (/.f64 1/2 (sin.f64 eps)) (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (cos.f64 eps) (/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (sin.f64 eps)))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1/2))))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) 2)))
(+.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 1)))
(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 4 (.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))
(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(.f64 (-.f64 (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1) (pow.f64 eps 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) (tan.f64 x))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (tan.f64 x))
(.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))
(+.f64 (.f64 eps (-.f64 (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) 1)) (pow.f64 eps 2))))) (tan.f64 x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (.f64 (sin.f64 eps) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1)) (cos.f64 eps)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (.f64 (sin.f64 eps) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (/.f64 (pow.f64 x 2) (cos.f64 eps))))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 2))))) (tan.f64 x))

Outputs

(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

(+.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))))

(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

Calls

3 calls:

278.0ms	eps
85.0ms	x
52.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
12.8b	3	`x`
11.7b	3	`eps`
12.1b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 1357 to 683 computations (49.7% saved)

bsearch68.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	5.363004077809557e-8	0.043877422713226685
32.0ms	-1.930888024086417e-8	-5.320497363445079e-12

Results

29.0ms	73×	body	1024	valid
25.0ms	168×	body	256	valid
6.0ms	27×	body	512	valid
2.0ms	4×	body	2048	valid

Compiler

Compiled 847 to 588 computations (30.6% saved)

regimes242.0ms (0.6%)

Counts

73 → 3

Calls

Call 1

Inputs
eps
(+.f64 1 -1)
(/.f64 (sin.f64 eps) 1)
(*.f64 eps (/.f64 1 (cos.f64 eps)))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 (pow.f64 eps 3) 1/3))
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) 1)
(*.f64 (/.f64 1 (/.f64 1 eps)) (/.f64 1 (cos.f64 eps)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 x))
(.f64 (/.f64 1 (+.f64 (/.f64 1 eps) (.f64 eps 1/6))) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x)))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2)
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 eps)))) (/.f64 1 (cos.f64 eps)))
(/.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps))) (*.f64 2 (neg.f64 (cos.f64 eps))))
(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(*.f64 (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (sin.f64 eps)))))) (/.f64 1 (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (sin.f64 (-.f64 (PI.f64) eps)) (/.f64 1 (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (tan.f64 x))
(+.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)))
(+.f64 eps (.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 eps (.f64 (pow.f64 x 4) 2/3)) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(.f64 (.f64 (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 eps)) (/.f64 (/.f64 1/2 (sin.f64 eps)) (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (cos.f64 eps) (/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (sin.f64 eps)))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1/2))))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) 2)))
(+.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 1)))
(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 4 (.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))
(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))
(.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))
(.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(.f64 (-.f64 (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1) (pow.f64 eps 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (+.f64 x (/.f64 (.f64 (sin.f64 eps) (pow.f64 x 2)) (cos.f64 eps))))) (tan.f64 x))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (tan.f64 x))
(.f64 (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 (+.f64 eps (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (+.f64 1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))

Outputs

(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

(*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (*.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x)))))

(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

Calls

3 calls:

87.0ms	eps
80.0ms	x
52.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
12.9b	3	`x`
11.7b	3	`eps`
12.1b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 1080 to 535 computations (50.5% saved)

bsearch63.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	5.363004077809557e-8	0.043877422713226685
30.0ms	-1.930888024086417e-8	-5.320497363445079e-12

Results

23.0ms	170×	body	256	valid
23.0ms	64×	body	1024	valid
8.0ms	30×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 643 to 452 computations (29.7% saved)

regimes635.0ms (1.6%)

Counts

64 → 3

Calls

Call 1

Inputs
eps
(+.f64 1 -1)
(/.f64 (sin.f64 eps) 1)
(*.f64 eps (/.f64 1 (cos.f64 eps)))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 (pow.f64 eps 3) 1/3))
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) 1)
(*.f64 (/.f64 1 (/.f64 1 eps)) (/.f64 1 (cos.f64 eps)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 x))
(.f64 (/.f64 1 (+.f64 (/.f64 1 eps) (.f64 eps 1/6))) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x)))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2)
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 eps)))) (/.f64 1 (cos.f64 eps)))
(/.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps))) (*.f64 2 (neg.f64 (cos.f64 eps))))
(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(*.f64 (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (sin.f64 eps)))))) (/.f64 1 (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (sin.f64 (-.f64 (PI.f64) eps)) (/.f64 1 (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (tan.f64 x))
(+.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)))
(+.f64 eps (.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 eps (.f64 (pow.f64 x 4) 2/3)) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(.f64 (.f64 (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 eps)) (/.f64 (/.f64 1/2 (sin.f64 eps)) (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (cos.f64 eps) (/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (sin.f64 eps)))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1/2))))
(.f64 (cos.f64 eps) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps)))) 2)))
(+.f64 1 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 1)))
(+.f64 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) -1) -1) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 4 (.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))
(+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))

Outputs
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

Calls

3 calls:

305.0ms	eps
272.0ms	x
42.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
12.9b	3	`x`
11.8b	3	`eps`
12.1b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 817 to 392 computations (52% saved)

bsearch63.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	5.363004077809557e-8	0.043877422713226685
31.0ms	-1.930888024086417e-8	-5.320497363445079e-12

Results

26.0ms	74×	body	1024	valid
23.0ms	167×	body	256	valid
6.0ms	24×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 473 to 367 computations (22.4% saved)

regimes105.0ms (0.3%)

Counts

44 → 1

Calls

Call 1

Inputs
eps
(+.f64 1 -1)
(/.f64 (sin.f64 eps) 1)
(*.f64 eps (/.f64 1 (cos.f64 eps)))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 (pow.f64 eps 3) 1/3))
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) 1)
(*.f64 (/.f64 1 (/.f64 1 eps)) (/.f64 1 (cos.f64 eps)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 x))
(.f64 (/.f64 1 (+.f64 (/.f64 1 eps) (.f64 eps 1/6))) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 eps) 1) (tan.f64 x))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1))
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) (/.f64 1 (cos.f64 eps)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (tan.f64 x))))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 (tan.f64 x)))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
(+.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 2) -2)
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 eps)))) (/.f64 1 (cos.f64 eps)))
(/.f64 (/.f64 -2 (/.f64 1 (sin.f64 eps))) (*.f64 2 (neg.f64 (cos.f64 eps))))
(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (.f64 2/3 (*.f64 eps (pow.f64 x 4)))))
(*.f64 (/.f64 1 (+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1 (sin.f64 eps)))))) (/.f64 1 (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
(*.f64 (sin.f64 (-.f64 (PI.f64) eps)) (/.f64 1 (cos.f64 eps)))
(-.f64 (/.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (tan.f64 x))
(+.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (-.f64 (.f64 (tan.f64 (+.f64 x eps)) 1/2) (tan.f64 x)))
(+.f64 eps (.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 2/3 (pow.f64 x 4))) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 eps (+.f64 (.f64 eps (.f64 (pow.f64 x 4) 2/3)) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (sin.f64 eps))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))

Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))

Calls

3 calls:

60.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
18.0ms	eps
17.0ms	x

Results

Error	Segments	Branch
25.5b	1	`x`
25.5b	1	`eps`
25.5b	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 451 to 248 computations (45% saved)

regimes156.0ms (0.4%)

Counts

13 → 3

Calls

Call 1

Inputs
eps
(+.f64 1 -1)
(/.f64 (sin.f64 eps) 1)
(*.f64 eps (/.f64 1 (cos.f64 eps)))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 (pow.f64 eps 3) 1/3))
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) 1)
(*.f64 (/.f64 1 (/.f64 1 eps)) (/.f64 1 (cos.f64 eps)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) (-.f64 -1 x))
(.f64 (/.f64 1 (+.f64 (/.f64 1 eps) (.f64 eps 1/6))) (/.f64 1 (cos.f64 eps)))

Outputs
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))

Calls

2 calls:

132.0ms	eps
20.0ms	x

Results

Error	Segments	Branch
37.5b	3	`x`
26.6b	3	`eps`

Compiler

Compiled 102 to 69 computations (32.4% saved)

bsearch59.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	5.363004077809557e-8	0.043877422713226685
28.0ms	-4249.500118707813	-0.22468220776136855

Results

24.0ms	175×	body	256	valid
23.0ms	64×	body	1024	valid
8.0ms	31×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 405 to 316 computations (22% saved)

regimes66.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
eps
(+.f64 1 -1)
(/.f64 (sin.f64 eps) 1)
(*.f64 eps (/.f64 1 (cos.f64 eps)))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 (pow.f64 eps 3) 1/3))
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(*.f64 (/.f64 1 (/.f64 1 (sin.f64 eps))) 1)
(*.f64 (/.f64 1 (/.f64 1 eps)) (/.f64 1 (cos.f64 eps)))

Outputs
(/.f64 (sin.f64 eps) 1)

Calls

2 calls:

6.0ms	x
6.0ms	eps

Results

Error	Segments	Branch
39.4b	1	`x`
39.4b	1	`eps`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes8.0ms (0%)

Accuracy

Total -20.0b remaining (-48.2%)

Threshold costs -20.0b (-48.2%)

Counts

2 → 1

Calls

Call 1

Inputs
eps
(+.f64 1 -1)

Outputs
eps

Calls

2 calls:

4.0ms	x
4.0ms	eps

Results

Error	Segments	Branch
41.4b	1	`x`
41.4b	1	`eps`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	1327

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -8286623314361713/36028797018963968) (+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (if (<=.f64 eps 6052837899185947/288230376151711744) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (cos.f64 x))) (.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))) -1/3)) (pow.f64 eps 4))))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -8286623314361713/36028797018963968) (+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (if (<=.f64 eps 1224979098644775/144115188075855872) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -5742397643169489/302231454903657293676544) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3246626956972881/73786976294838206464) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -5742397643169489/302231454903657293676544) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 6788401819125115/73786976294838206464) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -5742397643169489/302231454903657293676544) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 8854437155380585/147573952589676412928) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(if (<=.f64 eps -8286623314361713/36028797018963968) (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x))) (if (<=.f64 eps 48999163945791/36028797018963968) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))))
(/.f64 (sin.f64 eps) 1)
eps

Outputs
(if (<=.f64 eps -8286623314361713/36028797018963968) (+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (if (<=.f64 eps 6052837899185947/288230376151711744) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (neg.f64 (+.f64 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))) (.f64 (+.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (cos.f64 x))) (.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (cos.f64 x))) -1/3)) (pow.f64 eps 4))))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -8286623314361713/36028797018963968) (+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (if (<=.f64 eps 1224979098644775/144115188075855872) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 -1/2 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (neg.f64 (pow.f64 eps 3)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -5742397643169489/302231454903657293676544) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3246626956972881/73786976294838206464) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -5742397643169489/302231454903657293676544) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 6788401819125115/73786976294838206464) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 eps (.f64 (pow.f64 eps 2) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -5742397643169489/302231454903657293676544) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 8854437155380585/147573952589676412928) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(if (<=.f64 eps -8286623314361713/36028797018963968) (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x))) (if (<=.f64 eps 48999163945791/36028797018963968) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) (+.f64 1 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 x)))))
(/.f64 (sin.f64 eps) 1)
eps

Compiler

Compiled 459 to 294 computations (35.9% saved)

soundness139.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1766×	`rational.json-simplify-35`
1060×	`rational.json-simplify-41`
884×	`rational.json-simplify-2`
808×	`rational.json-simplify-1`
736×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	206	5254
1	517	5030
2	1190	4778
3	2752	4398
4	4869	4398
5	5596	4398
6	6879	4398

Stop Event

1×	node limit

Compiler

Compiled 215 to 149 computations (30.7% saved)

end166.0ms (0.4%)

Compiler: Compiled 443 to 243 computations (45.1% saved)