Details

analyze8.0s (20.7%)

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)

sample7.0s (17.9%)

Results

3.3s	3500×	body	1024	valid
2.0s	1320×	body	2048	valid
1.1s	1450×	body	512	valid
467.0ms	1984×	body	256	valid
2.0ms	2×	body	4096	valid

Bogosity

preprocess1.6s (4%)

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)

simplify1.3s (3.5%)

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

39.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.0b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.8b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	4.7b	(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	x	@	inf	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps	@	inf	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps	@	0	(tan.f64 (+.f64 x eps))

rewrite89.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`bool.json-1`
1888×	`bool.json-2`
1234×	`bool.json-3`
938×	`rational.json-1`
938×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	93	32
2	282	32
3	613	32
4	1303	32
5	3032	32
6	6662	32

Stop Event

1×	node limit

Counts

2 → 54

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

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

simplify181.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1646×	`rational.json-simplify-35`
928×	`rational.json-simplify-41`
852×	`rational.json-simplify-2`
786×	`rational.json-simplify-26`
760×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	5164
1	524	4868
2	1131	4532
3	2401	4244
4	4634	4244
5	5423	4244
6	6800	4244
7	7661	4244

Stop Event

1×	node limit

Counts

102 → 137

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

eval71.0ms (0.2%)

Compiler: Compiled 5248 to 3040 computations (42.1% saved)

prune42.0ms (0.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	123	14	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	123	15	138

Error

15.6b

Counts

138 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	39.1b	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
	61.3b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
	39.0b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
	55.5b	(-.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 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (.f64 (pow.f64 eps 3) (neg.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.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))))))))))) (tan.f64 x))
	55.4b	(-.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 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))) (tan.f64 x))
	54.8b	(-.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))
	40.8b	(-.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 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))))) (tan.f64 x))
✓	39.0b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	30.9b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
▶	32.8b	(+.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 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (*.f64 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps))))))
▶	45.2b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
	33.9b	(+.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 (pow.f64 eps 3) (neg.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.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))))))))))
	34.0b	(+.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 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.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 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.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 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) -1/3)) (pow.f64 eps 4)))))
▶	33.8b	(.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))))
▶	33.3b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))

Compiler

Compiled 1063 to 700 computations (34.1% 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))
✓	0.3b	(pow.f64 (sin.f64 eps) 2)
✓	0.3b	(pow.f64 (cos.f64 eps) 2)
✓	4.7b	(*.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))
0.0ms	x	@	inf	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))

rewrite92.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1902×	`bool.json-1`
1902×	`bool.json-2`
1386×	`bool.json-3`
1144×	`rational.json-simplify-35`
862×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	72
1	125	72
2	384	72
3	952	72
4	2660	72
5	6519	72

Stop Event

1×	node limit

Counts

4 → 103

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 1 (.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) 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 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 (pow.f64 (sin.f64 eps) 2) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x x) (.f64 (pow.f64 (sin.f64 eps) 2) 4)) 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 (+.f64 x x) (.f64 (pow.f64 (sin.f64 eps) 2) 4))) 16)))) (#(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 not (not (.f64 (pow.f64 (sin.f64 eps) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (pow.f64 (sin.f64 eps) 2) x) (.f64 (pow.f64 (sin.f64 eps) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (pow.f64 (sin.f64 eps) 2) x) (.f64 (pow.f64 (sin.f64 eps) 2) 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 (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 1/2 (.f64 2 (pow.f64 (cos.f64 eps) 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 (/.f64 (pow.f64 (cos.f64 eps) 2) 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 (.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 2 (.f64 (pow.f64 (cos.f64 eps) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (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 not (not (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (cos.f64 eps) 2) (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 1 (neg.f64 (pow.f64 (sin.f64 eps) 2))))))) (#(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 (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 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) 1/2) 2)))) (#(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 (.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) 4)) (.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 not (not (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (sin.f64 eps) 2) (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 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (.f64 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 (/.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 eps) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/2 (pow.f64 (cos.f64 eps) 2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 x (/.f64 1/2 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 x 1/2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 1 (pow.f64 (cos.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.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 2 (.f64 (pow.f64 (sin.f64 eps) 2) x)) (.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .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 x 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 (+.f64 x x) (.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 x x) (pow.f64 (cos.f64 eps) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 x 4)) (/.f64 1 (.f64 (pow.f64 (cos.f64 eps) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (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 (.f64 2 (pow.f64 (sin.f64 eps) 2)) (.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (cos.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) (.f64 (pow.f64 (sin.f64 eps) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 x)) (/.f64 -1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x x) (pow.f64 (cos.f64 eps) 2)) (.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) (pow.f64 (cos.f64 eps) 2))) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 x x) (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/2 (pow.f64 (cos.f64 eps) 2))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (/.f64 1/2 (pow.f64 (cos.f64 eps) 2))) (.f64 2 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (.f64 2 (.f64 (pow.f64 (sin.f64 eps) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2) (/.f64 (+.f64 x x) (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 1/2) (.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/2) (.f64 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)) (.f64 (pow.f64 (sin.f64 eps) 2) 1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) (.f64 x 1/2)) (.f64 2 (pow.f64 (sin.f64 eps) 2)))))) (#(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 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 (/.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (/.f64 1/2 (pow.f64 (cos.f64 eps) 2))) (.f64 (pow.f64 (sin.f64 eps) 2) x))))) (#(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))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2))))))))

simplify145.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational.json-simplify-53`
952×	`rational.json-simplify-46`
930×	`rational.json-simplify-44`
924×	`rational.json-simplify-1`
840×	`rational.json-simplify-61`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	236	3867
1	518	3783
2	1498	3765
3	4925	3753
4	7360	3749

Stop Event

1×	node limit

Counts

147 → 153

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

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 1 (tan.f64 x))
✓	0.2b	(+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x)))
✓	3.1b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
	4.7b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 39 to 17 computations (56.4% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x)))
0.0ms	eps	@	0	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
0.0ms	x	@	0	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
0.0ms	eps	@	0	(+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x)))
0.0ms	x	@	-inf	(+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x)))

rewrite100.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1972×	`bool.json-1`
1972×	`bool.json-2`
1308×	`bool.json-3`
1094×	`rational.json-simplify-35`
1046×	`rational.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	138	71
2	383	65
3	820	63
4	1745	63
5	3755	63
6	7079	63

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

simplify337.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1522×	`rational.json-simplify-35`
972×	`rational.json-simplify-51`
896×	`rational.json-simplify-1`
802×	`rational.json-simplify-26`
800×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	265	6178
1	630	6012
2	1419	5616
3	2673	5514
4	3957	5514
5	4490	5514
6	5576	5514
7	6541	5514
8	7422	5514

Stop Event

1×	node limit

Counts

128 → 175

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
✓	0.2b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
✓	0.3b	(pow.f64 (cos.f64 x) 2)
✓	0.3b	(pow.f64 (sin.f64 x) 2)

Compiler

Compiled 51 to 30 computations (41.2% saved)

series8.0ms (0%)

Counts

4 → 36

Calls

15 calls:

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

rewrite181.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`rational.json-simplify-35`
714×	`bool.json-1`
714×	`bool.json-2`
688×	`rational.json-1`
688×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	143	88
2	398	88
3	882	88
4	2162	88
5	6415	88

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

Inputs
(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 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))

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

simplify118.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1216×	`rational.json-simplify-35`
1038×	`rational.json-simplify-1`
1014×	`rational.json-simplify-2`
758×	`rational.json-simplify-39`
646×	`rational.json-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	3597
1	562	3577
2	2258	3571
3	4214	3559
4	6343	3559

Stop Event

1×	node limit

Counts

149 → 169

Calls

Call 1

Inputs
(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))))
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)))))
(*.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))))
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))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(+.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) -1))
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) (/.f64 (pow.f64 (sin.f64 x) 2) 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 2 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) 1))
(.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(*.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 1/2 (.f64 2 (pow.f64 (sin.f64 x) 2)))
(.f64 1/4 (.f64 (pow.f64 (sin.f64 x) 2) 4))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) 2)
(/.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 (pow.f64 (sin.f64 x) 2) 8) 8)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) -4)
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4))) 4)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 2) (/.f64 (pow.f64 (cos.f64 x) 2) 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 2 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 2) 1))
(.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 1/2))
(*.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 1/2 (.f64 2 (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 2) 2)
(.f64 1/4 (.f64 (pow.f64 (cos.f64 x) 2) 4))
(/.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 -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 (pow.f64 (cos.f64 x) 2) 8) 8)
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -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 (pow.f64 (cos.f64 x) 2) 8)) 16)
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -2)) 2)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0)
(+.f64 0 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (/.f64 (+.f64 eps (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (/.f64 (+.f64 eps (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))
(-.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0)
(/.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)
(/.f64 (.f64 2 (+.f64 eps (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
(/.f64 (.f64 eps (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4)) 4)
(/.f64 (.f64 2 (.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 eps (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4)))) 16)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 0)
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 2 (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 0)
(-.f64 0 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 2))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (.f64 2 (pow.f64 (cos.f64 x) 2))))
(.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 2 (pow.f64 (cos.f64 x) 2))))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2))) 1))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))))
(.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/2))
(.f64 2 (.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) 1/2))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(.f64 -1 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1))
(*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/2))
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (.f64 (.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/2) 1))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) 2)) 1/2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (.f64 (/.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 8)) 1))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 (cos.f64 x) 2))))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))
(.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) 1))
(.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (.f64 2 (pow.f64 (sin.f64 x) 2)))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) 2)))
(.f64 (.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/2) (*.f64 2 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) -1)
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 2 (pow.f64 (cos.f64 x) 2))) 2)
(.f64 (/.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 8)) (*.f64 (pow.f64 (sin.f64 x) 2) 4))
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(neg.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(neg.f64 (/.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (neg.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)))))

Outputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4)))
(+.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 (pow.f64 x 2) (.f64 2/45 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 2/45 (pow.f64 x 6)) (.f64 -1/3 (pow.f64 x 4))))
(+.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 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 -1/315 (pow.f64 x 8)))))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 2/45 (pow.f64 x 6))) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (*.f64 -1/315 (pow.f64 x 8))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (.f64 2/45 (pow.f64 x 6)) (.f64 -1/315 (pow.f64 x 8))) (*.f64 -1/3 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8)))))
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 (neg.f64 (pow.f64 x 2)) (+.f64 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 (.f64 (pow.f64 x 6) -2/45) (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (.f64 (pow.f64 x 4) 1/3))))
(+.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)))
(*.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))))
eps
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
(+.f64 eps (*.f64 (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 (pow.f64 x 2) eps) (+.f64 eps (.f64 eps (*.f64 (pow.f64 x 4) 2/3))))
(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 4) 2/3))))
(+.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 (+.f64 (.f64 eps (.f64 (pow.f64 x 4) 2/3)) (.f64 eps (.f64 (pow.f64 x 6) 17/45))) (*.f64 (pow.f64 x 2) eps)))
(+.f64 eps (+.f64 (.f64 (pow.f64 x 2) eps) (+.f64 (.f64 (pow.f64 x 4) (.f64 2/3 eps)) (.f64 eps (*.f64 (pow.f64 x 6) 17/45)))))
(+.f64 eps (+.f64 (.f64 (pow.f64 x 2) eps) (.f64 eps (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)))))
(*.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))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 6) 17/45)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 8) 62/315))))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 6) 17/45)) (+.f64 (.f64 (pow.f64 x 8) 62/315) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (.f64 (pow.f64 x 6) 17/45) (.f64 (pow.f64 x 8) 62/315)) (*.f64 (pow.f64 x 4) 2/3)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 8) 62/315))))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(+.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) -1))
(pow.f64 (sin.f64 x) 2)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) (/.f64 (pow.f64 (sin.f64 x) 2) 2))
(pow.f64 (sin.f64 x) 2)
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(*.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) 2))
(pow.f64 (sin.f64 x) 2)
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) 1))
(pow.f64 (sin.f64 x) 2)
(.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 1/2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)
(pow.f64 (sin.f64 x) 2)
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)
(pow.f64 (sin.f64 x) 2)
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (sin.f64 x) 2)
(.f64 1/2 (.f64 2 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(.f64 1/4 (.f64 (pow.f64 (sin.f64 x) 2) 4))
(pow.f64 (sin.f64 x) 2)
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) 2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)
(pow.f64 (sin.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)
(pow.f64 (sin.f64 x) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) -4)
(pow.f64 (sin.f64 x) 2)
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4))) 4)
(pow.f64 (sin.f64 x) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(pow.f64 (cos.f64 x) 2)
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(+.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 2) (/.f64 (pow.f64 (cos.f64 x) 2) 2))
(pow.f64 (cos.f64 x) 2)
(-.f64 (pow.f64 (cos.f64 x) 2) 0)
(pow.f64 (cos.f64 x) 2)
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 2) 2))
(pow.f64 (cos.f64 x) 2)
(.f64 2 (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 2) 1))
(pow.f64 (cos.f64 x) 2)
(.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 1/2))
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(*.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2)
(pow.f64 (cos.f64 x) 2)
(.f64 (.f64 (pow.f64 (cos.f64 x) 2) 4) 1/4)
(pow.f64 (cos.f64 x) 2)
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(pow.f64 (cos.f64 x) 2)
(.f64 1/2 (.f64 2 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) 2) 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 2 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))))
(pow.f64 (cos.f64 x) 2)
(/.f64 2 (/.f64 2 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (cos.f64 x) 2)
(/.f64 -1 (/.f64 -1 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(/.f64 1 (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) 2)
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 4) 4)
(pow.f64 (cos.f64 x) 2)
(/.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) -1)
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 8) 8)
(pow.f64 (cos.f64 x) 2)
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -2) -2)
(pow.f64 (cos.f64 x) 2)
(/.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2))) -2)
(pow.f64 (cos.f64 x) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 8)) 16)
(pow.f64 (cos.f64 x) 2)
(/.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -2)) 2)
(pow.f64 (cos.f64 x) 2)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)))
(pow.f64 (cos.f64 x) 2)
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0)
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 0 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (+.f64 eps (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (/.f64 (+.f64 eps (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0)
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 1)
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (.f64 2 (+.f64 eps (.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2)
(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (.f64 eps (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4)) 4)
(.f64 (.f64 4 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 eps 4))
(/.f64 (.f64 2 (.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4))) 8)
(.f64 (.f64 eps (*.f64 4 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 1/4)
(.f64 1/4 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 4 eps)))
(.f64 1/4 (.f64 4 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (.f64 2 (.f64 2 (.f64 eps (.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1) 4)))) 16)
(.f64 (.f64 eps (*.f64 4 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 1/4)
(.f64 1/4 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 4 eps)))
(.f64 1/4 (.f64 4 (*.f64 eps (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 0)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 2 (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 0)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 0 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 2 (pow.f64 (cos.f64 x) 2))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (.f64 2 (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 2 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 2 (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (cos.f64 x) 2))) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 2 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 2 (.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 2 (/.f64 1 (pow.f64 (cos.f64 x) 2))) 1/2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (pow.f64 (sin.f64 x) 2) (.f64 (/.f64 2 (pow.f64 (cos.f64 x) 2)) 1/2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 -1 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (/.f64 1/2 (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (.f64 (.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/2) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) 2)) 1/2)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (/.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) 8)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (.f64 (/.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 8)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 (pow.f64 (sin.f64 x) 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (/.f64 1/2 (pow.f64 (cos.f64 x) 2)) (.f64 2 (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/2) (*.f64 2 (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))) -1)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 2 (pow.f64 (cos.f64 x) 2))) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(.f64 (/.f64 2 (.f64 (pow.f64 (cos.f64 x) 2) 8)) (*.f64 (pow.f64 (sin.f64 x) 2) 4))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(neg.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(neg.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(neg.f64 (/.f64 (.f64 2 (pow.f64 (sin.f64 x) 2)) (neg.f64 (.f64 2 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
	0.3b	(pow.f64 (cos.f64 x) 2)
	0.3b	(pow.f64 (sin.f64 x) 2)
✓	4.6b	(*.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))
1.0ms	x	@	inf	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))
1.0ms	eps	@	0	(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))
1.0ms	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))

rewrite78.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2066×	`bool.json-1`
2066×	`bool.json-2`
1654×	`bool.json-3`
746×	`rational.json-simplify-35`
636×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	114	27
2	342	27
3	798	27
4	2015	27
5	5672	27

Stop Event

1×	node limit

Counts

1 → 65

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

simplify131.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational.json-simplify-49`
1144×	`rational.json-simplify-46`
954×	`rational.json-simplify-1`
798×	`rational.json-simplify-35`
596×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	2875
1	741	2749
2	2411	2719
3	5528	2713
4	7218	2713

Stop Event

1×	node limit

Counts

89 → 85

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 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 1 (pow.f64 eps 2)))
(/.f64 2 (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))
(/.f64 2 (+.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 eps 2)) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 eps 2))))
(/.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 x) 4) (sin.f64 x)) (.f64 2 (pow.f64 eps 2))))
(/.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 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 eps 2)))
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) 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 -1 (/.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 eps 2)))
(/.f64 (*.f64 (pow.f64 eps 2) (/.f64 2 (/.f64 (cos.f64 x) (sin.f64 x)))) 2)
(/.f64 (.f64 2 (pow.f64 eps 2)) (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x))))
(/.f64 (/.f64 2 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 2 (pow.f64 eps 2)))
(/.f64 (/.f64 2 (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 (sin.f64 x) 4) (+.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) 2)) (/.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) 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 (pow.f64 eps 2) (cos.f64 x))))
(/.f64 (/.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (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 (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 4 (+.f64 (/.f64 2 (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (/.f64 2 (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))))
(/.f64 4 (/.f64 (.f64 2 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))) (pow.f64 eps 2)))
(/.f64 4 (/.f64 (/.f64 (*.f64 (cos.f64 x) 4) (sin.f64 x)) (pow.f64 eps 2)))
(/.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 (sin.f64 x) 8) (/.f64 (.f64 (cos.f64 x) 8) (pow.f64 eps 2)))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (pow.f64 eps 2) 4)) 4)
(/.f64 (.f64 (pow.f64 eps 2) 4) (.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))))
(/.f64 (.f64 (pow.f64 eps 2) 4) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4))
(/.f64 (/.f64 (pow.f64 eps 2) (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 1/2 (cos.f64 x)) (/.f64 (/.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 (/.f64 (cos.f64 x) (sin.f64 x)) 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 (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 (.f64 (cos.f64 x) -2) (pow.f64 eps 2)))
(/.f64 (.f64 (sin.f64 x) -2) (/.f64 (neg.f64 (.f64 (cos.f64 x) 2)) (pow.f64 eps 2)))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (/.f64 2 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 2 (pow.f64 eps 2))))
(/.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 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (pow.f64 eps 2) 4))) 8)
(/.f64 (*.f64 (pow.f64 eps 2) (/.f64 1/2 (cos.f64 x))) (/.f64 1/2 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (cos.f64 x)) (/.f64 4 (pow.f64 eps 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 eps 2) 4) (/.f64 (cos.f64 x) (sin.f64 x))) 4)
(/.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (/.f64 -1 (pow.f64 eps 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) (/.f64 1 (*.f64 2 (pow.f64 eps 2))))
(/.f64 (/.f64 (pow.f64 eps 2) 2) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 2))
(/.f64 (neg.f64 (pow.f64 eps 2)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(/.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 (/.f64 (.f64 (pow.f64 eps 2) 4) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (.f64 (pow.f64 eps 2) 4) (/.f64 (cos.f64 x) (sin.f64 x)))) 8)
(/.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 (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 (/.f64 (pow.f64 eps 2) (/.f64 1 (sin.f64 x))) (cos.f64 x))
(/.f64 (/.f64 (*.f64 2 (pow.f64 eps 2)) (cos.f64 x)) (/.f64 2 (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)))

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 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 2) (*.f64 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 (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 (.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 (pow.f64 eps 2) (.f64 1/3 (pow.f64 x 3))) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 1/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (*.f64 (pow.f64 eps 2) -1/6))) (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) 1/120) (+.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 (.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) -1/5040) (+.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 (pow.f64 eps 2) 1/3) (pow.f64 x 3)) (+.f64 (+.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 (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) x) (+.f64 (+.f64 (.f64 (pow.f64 eps 2) (.f64 1/3 (pow.f64 x 3))) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 1/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (.f64 (pow.f64 eps 2) -1/6))) (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 (pow.f64 eps 2) -1/6)))) (+.f64 (.f64 (pow.f64 eps 2) 1/72) (*.f64 (pow.f64 eps 2) -1/720)))) (pow.f64 x 7))))
(+.f64 (.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 (pow.f64 eps 2) -1/6)))) (+.f64 (.f64 (pow.f64 eps 2) 1/72) (.f64 (pow.f64 eps 2) -1/720)))) (pow.f64 x 7)) (+.f64 (.f64 (pow.f64 eps 2) (.f64 1/3 (pow.f64 x 3))) (.f64 (-.f64 (.f64 (pow.f64 eps 2) 1/120) (+.f64 (.f64 (pow.f64 eps 2) 1/24) (*.f64 (pow.f64 eps 2) -1/6))) (pow.f64 x 5)))))
(/.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 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (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 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (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 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (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 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (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 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (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 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (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 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (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 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (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 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (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 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (cos.f64 x))
(*.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 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.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 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 1 (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 2 (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 2 (+.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 eps 2)) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 eps 2))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 x) 4) (sin.f64 x)) (.f64 2 (pow.f64 eps 2))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.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 (*.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 1 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) 2) (/.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) 2) (+.f64 (/.f64 (cos.f64 x) (pow.f64 eps 2)) (/.f64 (cos.f64 x) (pow.f64 eps 2))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 -1 (/.f64 (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (/.f64 2 (/.f64 (cos.f64 x) (sin.f64 x)))) 2)
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (.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 (/.f64 2 (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 2 (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (/.f64 2 (/.f64 (cos.f64 x) (sin.f64 x))) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) 2)) (+.f64 (/.f64 1 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 2))))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (-.f64 (pow.f64 eps 2) 0))))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (/.f64 (*.f64 (pow.f64 eps 2) (pow.f64 eps 2)) (pow.f64 eps 2))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) 2)) (*.f64 2 (/.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 (sin.f64 x) 4) (+.f64 (/.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) 2)) (/.f64 (cos.f64 x) (/.f64 (pow.f64 eps 2) 2))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (.f64 (sin.f64 x) 4) (/.f64 (.f64 (cos.f64 x) 4) (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) 4) (/.f64 4 (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (sin.f64 x) (/.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 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (pow.f64 eps 2))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 (.f64 (cos.f64 x) 2)) (.f64 2 (pow.f64 eps 2))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 4 (+.f64 (/.f64 2 (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))) (/.f64 2 (.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x))))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 4 (/.f64 (.f64 2 (.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))) (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 4 (/.f64 (/.f64 (*.f64 (cos.f64 x) 4) (sin.f64 x)) (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) (+.f64 (/.f64 2 (pow.f64 eps 2)) (/.f64 2 (pow.f64 eps 2))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 4) (/.f64 4 (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (.f64 (sin.f64 x) 8) (/.f64 (.f64 (cos.f64 x) 8) (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (pow.f64 eps 2) 4)) 4)
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) 4) (.f64 2 (*.f64 (cos.f64 x) (/.f64 2 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (.f64 (pow.f64 eps 2) 4) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 eps 2) (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (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 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 1/2 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 2 (pow.f64 eps 2))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 1/2 (/.f64 (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 2) (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.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 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (.f64 (sin.f64 x) -2) (/.f64 (.f64 (cos.f64 x) -2) (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (.f64 (sin.f64 x) -2) (/.f64 (neg.f64 (.f64 (cos.f64 x) 2)) (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (/.f64 2 (/.f64 (cos.f64 x) (sin.f64 x))) (.f64 2 (pow.f64 eps 2))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.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 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (.f64 2 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (pow.f64 eps 2) 4))) 8)
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 eps 2) (/.f64 1/2 (cos.f64 x))) (/.f64 1/2 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (cos.f64 x)) (/.f64 4 (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 eps 2) 4) (/.f64 (cos.f64 x) (sin.f64 x))) 4)
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (neg.f64 (cos.f64 x))) (/.f64 -1 (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 2) (/.f64 1 (*.f64 2 (pow.f64 eps 2))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 eps 2) 2) (/.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 2))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (neg.f64 (pow.f64 eps 2)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 -1 (pow.f64 eps 2)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.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 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.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 (sin.f64 x) (/.f64 (pow.f64 eps 2) (cos.f64 x)))
(/.f64 (+.f64 (/.f64 (.f64 (pow.f64 eps 2) 4) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (.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 (+.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 (sin.f64 x) (/.f64 (pow.f64 eps 2) (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 (/.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 (/.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 (/.f64 (*.f64 2 (pow.f64 eps 2)) (cos.f64 x)) (/.f64 2 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 eps 2) (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 (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 (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)))

localize56.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (sin.f64 eps) 2)
	0.3b	(pow.f64 (cos.f64 eps) 2)
✓	3.1b	(*.f64 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))
✓	4.8b	(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 (cos.f64 eps) 2)))

Compiler

Compiled 171 to 92 computations (46.2% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite98.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`rational.json-simplify-35`
996×	`bool.json-1`
996×	`bool.json-2`
970×	`rational.json-1`
970×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	154	60
2	450	60
3	1076	60
4	2866	60
5	7687	60

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

simplify123.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1112×	`rational.json-simplify-49`
962×	`rational.json-simplify-41`
960×	`rational.json-simplify-53`
790×	`rational.json-simplify-35`
760×	`rational.json-simplify-50`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	298	4675
1	881	4463
2	2366	4421
3	4790	4419
4	6631	4415

Stop Event

1×	node limit

Counts

131 → 121

Calls

Call 1

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

Outputs
(*.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 2) x) (.f64 (pow.f64 eps 4) (-.f64 (*.f64 x -1/3) (neg.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 4) (*.f64 x 2/3)))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 x (*.f64 2/3 (pow.f64 eps 4))))
(+.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 4) (-.f64 (.f64 x -1/3) (neg.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (+.f64 (.f64 -1 (-.f64 (.f64 x -1/3) (neg.f64 x))) (.f64 x 1/3))))))
(+.f64 (.f64 (pow.f64 eps 4) (.f64 x 2/3)) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (+.f64 (neg.f64 (.f64 x 2/3)) (*.f64 x 1/3))))))
(+.f64 (.f64 x (.f64 2/3 (pow.f64 eps 4))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (+.f64 (.f64 x -2/3) (*.f64 x 1/3))))))
(+.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 (-.f64 (.f64 x -1/315) (+.f64 (.f64 -1 (-.f64 (.f64 x 2/45) (+.f64 (.f64 -1 (-.f64 (.f64 x -1/3) (neg.f64 x))) (.f64 x 1/3)))) (+.f64 (.f64 x -2/45) (.f64 (-.f64 (.f64 x -1/3) (neg.f64 x)) 1/3)))) (pow.f64 eps 8)) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 x -1/3) (neg.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (+.f64 (.f64 -1 (-.f64 (.f64 x -1/3) (neg.f64 x))) (.f64 x 1/3)))))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 4) (.f64 x 2/3))) (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (+.f64 (neg.f64 (.f64 x 2/3)) (.f64 x 1/3)))) (.f64 (-.f64 (.f64 x -1/315) (+.f64 (neg.f64 (-.f64 (.f64 x 2/45) (+.f64 (neg.f64 (.f64 x 2/3)) (.f64 x 1/3)))) (+.f64 (.f64 (.f64 x 2/3) 1/3) (*.f64 x -2/45)))) (pow.f64 eps 8))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 x (.f64 2/3 (pow.f64 eps 4)))) (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (+.f64 (.f64 x -2/3) (.f64 x 1/3)))) (.f64 (-.f64 (.f64 x -1/315) (+.f64 (neg.f64 (-.f64 (.f64 x 2/45) (+.f64 (.f64 x -2/3) (.f64 x 1/3)))) (+.f64 (.f64 x 2/9) (.f64 x -2/45)))) (pow.f64 eps 8))))
(+.f64 (+.f64 (.f64 x (.f64 2/3 (pow.f64 eps 4))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (+.f64 (.f64 x -2/3) (.f64 x 1/3)))))) (.f64 (-.f64 (.f64 x -1/315) (+.f64 (+.f64 (.f64 x -2/3) (-.f64 (.f64 x 1/3) (.f64 x 2/45))) (+.f64 (.f64 x 2/9) (.f64 x -2/45)))) (pow.f64 eps 8)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 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 x (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(*.f64 eps (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 -1/2 (pow.f64 x 2)))) (.f64 eps (pow.f64 x 2)))
(+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (pow.f64 eps 3) (-.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 (pow.f64 x 2) -1/2))))
(+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 2) 1/3)))
(+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (pow.f64 x 2) (*.f64 1/3 (pow.f64 eps 3))))
(+.f64 (.f64 (pow.f64 eps 3) (-.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 -1/2 (pow.f64 x 2)))) (+.f64 (.f64 eps (pow.f64 x 2)) (.f64 (pow.f64 eps 5) (-.f64 (.f64 1/120 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 -1/2 (-.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 -1/2 (pow.f64 x 2)))))))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 eps 5) (-.f64 (.f64 (pow.f64 x 2) 1/120) (+.f64 (.f64 (pow.f64 x 2) 1/24) (.f64 -1/2 (-.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 (pow.f64 x 2) -1/2)))))) (.f64 (pow.f64 eps 3) (-.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 (pow.f64 x 2) -1/2)))))
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(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (+.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (sin.f64 eps))) (+.f64 (neg.f64 (/.f64 (cos.f64 eps) (pow.f64 x 2))) (neg.f64 (/.f64 (cos.f64 eps) (pow.f64 x 2)))))
(*.f64 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 -1 (pow.f64 x 2)))
(*.f64 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (/.f64 (sin.f64 eps) 1/2) (*.f64 2 (/.f64 (cos.f64 eps) (pow.f64 x 2))))
(*.f64 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (/.f64 (sin.f64 eps) (/.f64 1 (pow.f64 x 2))) (cos.f64 eps))
(*.f64 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) 2) (cos.f64 eps)) (/.f64 2 (pow.f64 x 2)))
(*.f64 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) 2)) (-.f64 0 (.f64 2 (/.f64 (cos.f64 eps) (pow.f64 x 2)))))
(*.f64 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 0 (/.f64 1 (pow.f64 x 2))))
(*.f64 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))
(*.f64 (pow.f64 x 2) (/.f64 (sin.f64 eps) (cos.f64 eps)))

eval8.3s (21.5%)

Compiler: Compiled 34931 to 21144 computations (39.5% saved)

prune377.0ms (1%)

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	1017	22	1039
Fresh	2	7	9
Picked	1	0	1
Done	0	5	5
Total	1020	34	1054

Error

15.1b

Counts

1054 → 34

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.0b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	61.3b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
	39.0b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
	55.5b	(-.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 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2)))) (.f64 (pow.f64 eps 3) (neg.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.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))))))))))) (tan.f64 x))
	55.4b	(-.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 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))) (tan.f64 x))
	40.8b	(-.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 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))))) (tan.f64 x))
✓	39.0b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	30.9b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
▶	29.5b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (-.f64 1 (pow.f64 eps 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	31.0b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	44.3b	(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (tan.f64 x))) -1)
	43.9b	(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) -1)
	47.0b	(+.f64 (+.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 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))))) (-.f64 1 (tan.f64 x))) -1)
	45.2b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) -1)
✓	45.2b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
	46.7b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 x)) -1)
▶	45.2b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1)) -1)
	33.9b	(+.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 (pow.f64 eps 3) (neg.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.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))))))))))
	34.0b	(+.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 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.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 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.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 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) -1/3)) (pow.f64 eps 4)))))
	48.1b	(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
	33.3b	(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	48.3b	(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 4) 2/3))))
▶	61.3b	(+.f64 1 -1)
✓	33.8b	(.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))))
	33.9b	(.f64 (-.f64 (/.f64 (+.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) -1)) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
✓	33.3b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
	44.9b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1))
	33.6b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))))) -1))
	44.6b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1))
	33.4b	(*.f64 eps (-.f64 (/.f64 (+.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) -1)) (pow.f64 (cos.f64 x) 2)) -1))
▶	48.3b	(.f64 eps (-.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))) -1))
	33.3b	(.f64 eps (-.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) -1))
	41.8b	(.f64 eps (-.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) -1))
	45.1b	eps

Compiler

Compiled 1560 to 1101 computations (29.4% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 5 computations (58.3% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite87.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1928×	`bool.json-1`
1928×	`bool.json-2`
1890×	`rational.json-1`
1610×	`bool.json-3`
614×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	77	15
2	270	15
3	674	15
4	1717	15
5	5408	15

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

Inputs
(/.f64 (sin.f64 eps) (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) (cos.f64 eps)) 0)))) (#(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 (*.f64 2 (/.f64 1 (cos.f64 eps))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (*.f64 (/.f64 2 (cos.f64 eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.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 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 2) (/.f64 1/2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 4) (/.f64 (/.f64 1 (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 4) (*.f64 (/.f64 (/.f64 1 (cos.f64 eps)) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 4) (*.f64 1/4 (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 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 (neg.f64 (sin.f64 eps)) (*.f64 (/.f64 -1 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 eps)) (*.f64 -1 (/.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.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 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.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 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.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 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 8) (/.f64 1 (*.f64 (cos.f64 eps) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (*.f64 (cos.f64 eps) 2) (*.f64 2 (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cos.f64 eps)) (*.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) -2) (/.f64 1/2 (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) -2) (/.f64 1 (*.f64 (cos.f64 eps) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) -2) (/.f64 1 (neg.f64 (*.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (cos.f64 eps))) (*.f64 (sin.f64 eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 eps)) (/.f64 (*.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (/.f64 1/2 (sin.f64 eps))) (/.f64 2 (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cos.f64 eps)) (*.f64 (sin.f64 eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (*.f64 2 (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) 1/2) (/.f64 2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 eps)) (/.f64 (neg.f64 (cos.f64 eps)) (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cos.f64 eps)) 4) (*.f64 (sin.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 1/2 (cos.f64 eps))) (sin.f64 eps))))) (#(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 not (not (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1320×	`rational.json-simplify-54`
1218×	`rational.json-simplify-55`
1040×	`rational.json-simplify-2`
580×	`rational.json-simplify-35`
528×	`rational.json-simplify-57`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1491
1	340	1485
2	827	1293
3	2943	1239
4	5042	1239

Stop Event

1×	node limit

Counts

57 → 74

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 (/.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 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(.f64 (sin.f64 eps) (.f64 (*.f64 2 (/.f64 1 (cos.f64 eps))) 1/2))
(.f64 (sin.f64 eps) (.f64 (/.f64 2 (cos.f64 eps)) 1/2))
(.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(*.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (.f64 (sin.f64 eps) 2) (/.f64 1/2 (cos.f64 eps)))
(*.f64 -1 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))))
(.f64 -1 (.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) 1))
(.f64 -1 (/.f64 (.f64 (sin.f64 eps) 2) (neg.f64 (*.f64 (cos.f64 eps) 2))))
(.f64 2 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2))
(.f64 (.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 1/2)
(.f64 (.f64 (sin.f64 eps) 4) (/.f64 (/.f64 1 (cos.f64 eps)) 4))
(.f64 (.f64 (sin.f64 eps) 4) (*.f64 (/.f64 (/.f64 1 (cos.f64 eps)) 4) 1))
(.f64 (.f64 (sin.f64 eps) 4) (*.f64 1/4 (/.f64 1 (cos.f64 eps))))
(.f64 (.f64 (sin.f64 eps) 4) (*.f64 1/2 (/.f64 1/2 (cos.f64 eps))))
(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
(*.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (/.f64 1 (sin.f64 eps))))
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 -1 (cos.f64 eps)))
(.f64 (neg.f64 (sin.f64 eps)) (.f64 (/.f64 -1 (cos.f64 eps)) 1))
(.f64 (neg.f64 (sin.f64 eps)) (.f64 -1 (/.f64 1 (cos.f64 eps))))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 2 (.f64 2 (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps))))))
(.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1 (.f64 2 (.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps))))))
(.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1/2 (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))
(.f64 4 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 4)))
(*.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 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))
(.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (.f64 (cos.f64 eps) 2) (.f64 2 (.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.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))))
(.f64 (.f64 (sin.f64 eps) -2) (/.f64 1 (*.f64 (cos.f64 eps) -2)))
(.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 1/2 (sin.f64 eps)) (/.f64 (.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))
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(.f64 (/.f64 2 (cos.f64 eps)) (.f64 (sin.f64 eps) 1/2))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1/2) 2)
(.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 2 (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps))))))
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(.f64 1/4 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4))
(.f64 (/.f64 -1 (sin.f64 eps)) (/.f64 (neg.f64 (cos.f64 eps)) (.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.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 1/2 (cos.f64 eps)) (/.f64 1/2 (cos.f64 eps))) (sin.f64 eps))
(neg.f64 (/.f64 (sin.f64 eps) (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))))
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(+.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 17/315 (pow.f64 eps 7)) (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 eps (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 17/315 (pow.f64 eps 7)) (+.f64 eps (*.f64 2/15 (pow.f64 eps 5)))))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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(*.f64 (sin.f64 eps) (/.f64 1 (cos.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
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(*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (/.f64 1 (cos.f64 eps)))))
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(*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (/.f64 1 (cos.f64 eps)))))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 2 (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps))))))
(.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps))))))
(.f64 (cos.f64 eps) (/.f64 1 (.f64 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))) (.f64 (cos.f64 eps) (sin.f64 eps)))))
(*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (/.f64 1 (cos.f64 eps)))))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (.f64 (sin.f64 eps) 1/2) (/.f64 2 (cos.f64 eps)))
(.f64 (sin.f64 eps) (.f64 1/2 (/.f64 2 (cos.f64 eps))))
(.f64 1/4 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(.f64 (/.f64 -1 (sin.f64 eps)) (/.f64 (neg.f64 (cos.f64 eps)) (.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))
(.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps))))))
(.f64 (cos.f64 eps) (/.f64 1 (.f64 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))) (.f64 (cos.f64 eps) (sin.f64 eps)))))
(*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (/.f64 1 (cos.f64 eps)))))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps))
(/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (/.f64 (/.f64 1 (cos.f64 eps)) 4) (.f64 (sin.f64 eps) 4))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (/.f64 -1 (cos.f64 eps)) (neg.f64 (sin.f64 eps)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(*.f64 (+.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 1/2 (cos.f64 eps))) (sin.f64 eps))
(/.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))

localize3.0ms (0%)

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1))
✓	0.3b	(+.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1)
	4.7b	(tan.f64 (+.f64 x eps))
✓	6.0b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1)) -1)

Compiler

Compiled 57 to 31 computations (45.6% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1))
0.0ms	eps	@	0	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1)) -1)
0.0ms	x	@	0	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1)) -1)
0.0ms	eps	@	0	(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1))
0.0ms	x	@	-inf	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1)) -1)

rewrite85.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`bool.json-1`
1372×	`bool.json-2`
1360×	`rational.json-simplify-35`
1334×	`rational.json-1`
1334×	`rational.json-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	101
1	159	89
2	435	83
3	963	79
4	2339	71
5	5067	71

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

Inputs

(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1)) -1)

(+.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1)

(+.f64 (tan.f64 (+.f64 x eps)) (+.f64 (neg.f64 (+.f64 (tan.f64 x) -2)) -1))

Outputs

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

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

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

simplify219.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1592×	`rational.json-simplify-35`
1010×	`rational.json-simplify-2`
848×	`rational.json-simplify-1`
832×	`rational.json-simplify-51`
770×	`rational.json-simplify-26`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	247	6517
1	599	6193
2	1405	5641
3	2881	5349
4	4239	5199
5	4771	5199
6	5892	5199
7	6891	5199
8	7762	5199

Stop Event

1×	node limit

Counts

121 → 173

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

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) (/.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) x) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (/.f64 (-.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) x) (pow.f64 (cos.f64 eps) 2))))
(+.f64 (.f64 (sin.f64 eps) (.f64 (pow.f64 x 2) (/.f64 (-.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 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
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localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))
✓	0.1b	(*.f64 (pow.f64 x 6) 17/45)
✓	0.1b	(*.f64 (pow.f64 x 4) 2/3)
✓	1.0b	(.f64 eps (-.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))) -1))

Compiler

Compiled 91 to 72 computations (20.9% saved)

series10.0ms (0%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(.f64 eps (-.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))) -1))
0.0ms	x	@	0	(*.f64 (pow.f64 x 6) 17/45)
0.0ms	x	@	inf	(.f64 eps (-.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))) -1))
0.0ms	eps	@	inf	(.f64 eps (-.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))) -1))
0.0ms	x	@	0	(*.f64 (pow.f64 x 4) 2/3)

rewrite117.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`bool.json-1`
1372×	`bool.json-2`
1328×	`rational.json-1`
1328×	`rational.json-2`
1328×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	112
1	190	112
2	471	112
3	950	112
4	2238	112
5	5064	112
6	7906	112

Stop Event

1×	node limit

Counts

4 → 45

Calls

Call 1

Inputs
(.f64 eps (-.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))) -1))
(*.f64 (pow.f64 x 4) 2/3)
(*.f64 (pow.f64 x 6) 17/45)
(+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))) 1/2)) (.f64 eps (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))) (+.f64 eps eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))))))) (.f64 2 (.f64 2 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1)))))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1)))) (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1)))) (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 4) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 4) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 4) 1/3) (.f64 (pow.f64 x 4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 4) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 4) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 4) 4/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 4) 8/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 4) 8/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 8/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 8/3))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 8/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (pow.f64 x 4) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 4) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 4) 2/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 6) 17/45) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 6) 17/45))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 6) 17/90) (.f64 (pow.f64 x 6) 17/90))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 6) 17/45) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 6) 17/45) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 6) 34/45) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 6) 68/45) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 6) 68/45)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 6) 68/45))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 6) 68/45))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 6) 68/45)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (pow.f64 x 6) 17/45)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (pow.f64 x 6) 17/45) (.f64 (pow.f64 x 6) 17/45))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (pow.f64 x 6) 17/45) (.f64 (pow.f64 x 6) 17/45))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))))) (.f64 2 (.f64 2 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)))))))

simplify452.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

3558×	`rational.json-simplify-41`
2766×	`rational.json-simplify-35`
2536×	`rational.json-simplify-2`
1594×	`rational.json-simplify-53`
904×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	3075
1	286	3039
2	630	2997
3	1481	2997
4	2653	2997
5	3332	2997
6	3730	2997
7	4513	2997
8	4706	2997
9	4858	2997
10	5003	2997
11	5605	2997
12	5605	2997
13	6102	2997
14	6112	2997
15	6255	2997
16	6398	2997
17	6541	2997

Stop Event

1×	node limit

Counts

105 → 78

Calls

Call 1

Inputs
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
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 17/45 (.f64 eps (pow.f64 x 6)))
(+.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 (.f64 2/3 (.f64 eps (pow.f64 x 4))) (.f64 17/45 (*.f64 eps (pow.f64 x 6)))))
(+.f64 eps (+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 2/3 (.f64 eps (pow.f64 x 4))) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(.f64 17/45 (.f64 eps (pow.f64 x 6)))
(+.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 (.f64 2/3 (.f64 eps (pow.f64 x 4))) (.f64 17/45 (*.f64 eps (pow.f64 x 6)))))
(+.f64 eps (+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 2/3 (.f64 eps (pow.f64 x 4))) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 2/3 (pow.f64 x 4))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(*.f64 17/45 (pow.f64 x 6))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(*.f64 17/45 (pow.f64 x 6))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) 1)))) 0)
(+.f64 0 (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) 1)))))
(+.f64 (.f64 eps (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))) 1/2)) (.f64 eps (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))) 1/2)))
(-.f64 (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) 1)))) 0)
(/.f64 (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) 1)))) 1)
(/.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) 1))) (+.f64 eps eps)) 2)
(/.f64 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))))) 4)
(/.f64 (.f64 2 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) 1)))))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))))))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))))))) (.f64 2 (.f64 2 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1)))))))) 32)
(+.f64 (*.f64 (pow.f64 x 4) 2/3) 0)
(+.f64 0 (*.f64 (pow.f64 x 4) 2/3))
(+.f64 (.f64 (pow.f64 x 4) 1/3) (.f64 (pow.f64 x 4) 1/3))
(-.f64 (*.f64 (pow.f64 x 4) 2/3) 0)
(/.f64 (*.f64 (pow.f64 x 4) 2/3) 1)
(/.f64 (*.f64 (pow.f64 x 4) 4/3) 2)
(/.f64 (*.f64 (pow.f64 x 4) 8/3) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) 8/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 4) 8/3))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 8/3))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 8/3)))) 32)
(+.f64 (*.f64 (pow.f64 x 6) 17/45) 0)
(+.f64 0 (*.f64 (pow.f64 x 6) 17/45))
(+.f64 (.f64 (pow.f64 x 6) 17/90) (.f64 (pow.f64 x 6) 17/90))
(-.f64 (*.f64 (pow.f64 x 6) 17/45) 0)
(/.f64 (*.f64 (pow.f64 x 6) 17/45) 1)
(/.f64 (*.f64 (pow.f64 x 6) 34/45) 2)
(/.f64 (*.f64 (pow.f64 x 6) 68/45) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 6) 68/45)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 6) 68/45))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 6) 68/45))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 6) 68/45)))) 32)
(-.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 0)
(.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 1/2))
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45)) 4))
(.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45)) 1)
(.f64 1 (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45)))
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))) 1/2)
(.f64 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 1/2) 2)
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))) 2)
(/.f64 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))) 4)
(/.f64 (.f64 2 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))))) (.f64 2 (.f64 2 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)))))) 32)

Outputs
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
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 2/3 (pow.f64 x 4))) (*.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 eps (+.f64 (.f64 eps (.f64 2/3 (pow.f64 x 4))) (+.f64 (.f64 eps (.f64 17/45 (pow.f64 x 6))) (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (+.f64 (.f64 (pow.f64 x 4) (.f64 2/3 eps)) (.f64 eps (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))))))
(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(+.f64 eps (.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 17/45 (.f64 eps (pow.f64 x 6)))
(.f64 eps (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (.f64 eps (pow.f64 x 4))) (.f64 17/45 (.f64 eps (pow.f64 x 6))))
(+.f64 (.f64 eps (.f64 2/3 (pow.f64 x 4))) (.f64 eps (.f64 17/45 (pow.f64 x 6))))
(+.f64 (.f64 (pow.f64 x 4) (.f64 2/3 eps)) (.f64 eps (.f64 17/45 (pow.f64 x 6))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 2/3 (.f64 eps (pow.f64 x 4))) (.f64 17/45 (*.f64 eps (pow.f64 x 6)))))
(+.f64 (.f64 eps (.f64 2/3 (pow.f64 x 4))) (+.f64 (.f64 eps (.f64 17/45 (pow.f64 x 6))) (*.f64 eps (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 4) (.f64 2/3 eps)) (.f64 eps (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6)))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 eps (+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 2/3 (.f64 eps (pow.f64 x 4))) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(+.f64 eps (+.f64 (.f64 eps (.f64 2/3 (pow.f64 x 4))) (+.f64 (.f64 eps (.f64 17/45 (pow.f64 x 6))) (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (+.f64 (.f64 (pow.f64 x 4) (.f64 2/3 eps)) (.f64 eps (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))))))
(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(+.f64 eps (.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 17/45 (.f64 eps (pow.f64 x 6)))
(.f64 eps (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (.f64 eps (pow.f64 x 4))) (.f64 17/45 (.f64 eps (pow.f64 x 6))))
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(+.f64 (.f64 (pow.f64 x 4) (.f64 2/3 eps)) (.f64 eps (.f64 17/45 (pow.f64 x 6))))
(.f64 eps (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))
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(+.f64 (.f64 eps (.f64 2/3 (pow.f64 x 4))) (+.f64 (.f64 eps (.f64 17/45 (pow.f64 x 6))) (*.f64 eps (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 4) (.f64 2/3 eps)) (.f64 eps (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6)))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4))))
(+.f64 eps (+.f64 (.f64 eps (pow.f64 x 2)) (+.f64 (.f64 2/3 (.f64 eps (pow.f64 x 4))) (.f64 17/45 (*.f64 eps (pow.f64 x 6))))))
(+.f64 eps (+.f64 (.f64 eps (.f64 2/3 (pow.f64 x 4))) (+.f64 (.f64 eps (.f64 17/45 (pow.f64 x 6))) (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (+.f64 (.f64 (pow.f64 x 4) (.f64 2/3 eps)) (.f64 eps (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))))))
(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(+.f64 eps (.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 2/3 (pow.f64 x 4))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 17/45 (pow.f64 x 6))
(*.f64 2/3 (pow.f64 x 4))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(*.f64 17/45 (pow.f64 x 6))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(*.f64 17/45 (pow.f64 x 6))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(+.f64 (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) 1)))) 0)
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(+.f64 0 (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) 1)))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(+.f64 (.f64 eps (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))) 1/2)) (.f64 eps (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))) 1/2)))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(-.f64 (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) 1)))) 0)
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(/.f64 (.f64 eps (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) 1)))) 1)
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) 1))) (+.f64 eps eps)) 2)
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(/.f64 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))))) 4)
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(/.f64 (.f64 2 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) 1)))))) 8)
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(/.f64 (.f64 2 (.f64 2 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))))))) 16)
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1))))))) (.f64 2 (.f64 2 (.f64 eps (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (+.f64 (.f64 (pow.f64 x 6) 17/45) 1)))))))) 32)
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) 1)) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 (+.f64 (.f64 17/45 (pow.f64 x 6)) (+.f64 1 (pow.f64 x 2))) (*.f64 2/3 (pow.f64 x 4))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))) (pow.f64 x 2))))
(.f64 eps (+.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))))
(.f64 eps (+.f64 1 (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (*.f64 2/3 (pow.f64 x 4)))))
(.f64 eps (+.f64 (+.f64 (pow.f64 x 2) (.f64 17/45 (pow.f64 x 6))) (+.f64 1 (*.f64 2/3 (pow.f64 x 4)))))
(+.f64 (*.f64 (pow.f64 x 4) 2/3) 0)
(*.f64 2/3 (pow.f64 x 4))
(+.f64 0 (*.f64 (pow.f64 x 4) 2/3))
(*.f64 2/3 (pow.f64 x 4))
(+.f64 (.f64 (pow.f64 x 4) 1/3) (.f64 (pow.f64 x 4) 1/3))
(*.f64 2/3 (pow.f64 x 4))
(-.f64 (*.f64 (pow.f64 x 4) 2/3) 0)
(*.f64 2/3 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 2/3) 1)
(*.f64 2/3 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 4/3) 2)
(*.f64 2/3 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 8/3) 4)
(*.f64 2/3 (pow.f64 x 4))
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) 8/3)) 8)
(*.f64 2/3 (pow.f64 x 4))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 4) 8/3))) 16)
(*.f64 2/3 (pow.f64 x 4))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 8/3))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 4) 8/3)))) 32)
(*.f64 2/3 (pow.f64 x 4))
(+.f64 (*.f64 (pow.f64 x 6) 17/45) 0)
(*.f64 17/45 (pow.f64 x 6))
(+.f64 0 (*.f64 (pow.f64 x 6) 17/45))
(*.f64 17/45 (pow.f64 x 6))
(+.f64 (.f64 (pow.f64 x 6) 17/90) (.f64 (pow.f64 x 6) 17/90))
(*.f64 17/45 (pow.f64 x 6))
(-.f64 (*.f64 (pow.f64 x 6) 17/45) 0)
(*.f64 17/45 (pow.f64 x 6))
(/.f64 (*.f64 (pow.f64 x 6) 17/45) 1)
(*.f64 17/45 (pow.f64 x 6))
(/.f64 (*.f64 (pow.f64 x 6) 34/45) 2)
(*.f64 17/45 (pow.f64 x 6))
(/.f64 (*.f64 (pow.f64 x 6) 68/45) 4)
(*.f64 17/45 (pow.f64 x 6))
(/.f64 (.f64 2 (.f64 (pow.f64 x 6) 68/45)) 8)
(*.f64 17/45 (pow.f64 x 6))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 6) 68/45))) 16)
(*.f64 17/45 (pow.f64 x 6))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 6) 68/45))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 6) 68/45)))) 32)
(*.f64 17/45 (pow.f64 x 6))
(-.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 0)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 1/2))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45)) 4))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45)) 1)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(.f64 1 (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))) 1/2)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(.f64 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))) 1/4)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 1/2) 2)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)) 1)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(/.f64 (.f64 2 (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))) 2)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(/.f64 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))) 4)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(/.f64 (.f64 2 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)))) 8)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))))) 16)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45))))) (.f64 2 (.f64 2 (.f64 4 (+.f64 (.f64 (pow.f64 x 4) 2/3) (.f64 (pow.f64 x 6) 17/45)))))) 32)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (.f64 17/45 (pow.f64 x 6)))

localize82.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	0.3b	(pow.f64 (sin.f64 eps) 2)
	4.7b	(*.f64 (pow.f64 (sin.f64 eps) 2) x)
✓	6.7b	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (-.f64 1 (pow.f64 eps 2)))

Compiler

Compiled 63 to 35 computations (44.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2092×	`bool.json-1`
2092×	`bool.json-2`
1236×	`rational.json-simplify-35`
950×	`rational.json-1`
950×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	139	35
2	428	35
3	1059	35
4	2969	35
5	7178	35

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (+.f64 (pow.f64 eps 2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (+.f64 (pow.f64 eps 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (*.f64 2 (-.f64 1 (pow.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x 1/2) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (-.f64 1 (pow.f64 eps 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 1 (-.f64 1 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x x)) (/.f64 1/2 (-.f64 1 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x x)) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 x)) (/.f64 1 (+.f64 (pow.f64 eps 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (+.f64 (pow.f64 eps 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 2)) (*.f64 x (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 eps) 2)) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 eps 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x 4)) (/.f64 1 (*.f64 (-.f64 1 (pow.f64 eps 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 eps 2))) (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 x (+.f64 (pow.f64 eps 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 eps 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 (+.f64 (pow.f64 eps 2) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1/2) (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (pow.f64 eps 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))) (*.f64 2 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 1 (pow.f64 eps 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 eps 2) -1)) (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (pow.f64 (sin.f64 eps) 2) -2)) (/.f64 2 (*.f64 (+.f64 (pow.f64 eps 2) -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.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 1 (-.f64 1 (pow.f64 eps 2))) (*.f64 x 1/2)) (*.f64 2 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) 1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (pow.f64 eps 2) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (*.f64 2 (-.f64 1 (pow.f64 eps 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 eps 2) -1)) (neg.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 (pow.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 (+.f64 (pow.f64 eps 2) -1) 4)) (*.f64 x (*.f64 (pow.f64 (sin.f64 eps) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (-.f64 1 (pow.f64 eps 2))) (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (+.f64 (pow.f64 eps 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))))))))

simplify187.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1212×	`rational.json-simplify-49`
1110×	`rational.json-simplify-61`
1106×	`rational.json-simplify-2`
874×	`rational.json-simplify-46`
848×	`rational.json-simplify-41`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	153	3398
1	346	3278
2	753	3154
3	1764	3092
4	4692	3052
5	6255	3048

Stop Event

1×	node limit

Counts

78 → 95

Calls

Call 1

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

Outputs
(*.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 2) x) (.f64 (pow.f64 eps 4) (-.f64 (*.f64 x -1/3) (neg.f64 x))))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 4) (*.f64 x 2/3)))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 x (*.f64 2/3 (pow.f64 eps 4))))
(.f64 x (+.f64 (pow.f64 eps 2) (.f64 (pow.f64 eps 4) 2/3)))
(+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 2/45 x) (.f64 -1 (-.f64 (.f64 -1/3 x) (.f64 -1 x))))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (.f64 -1 (-.f64 (.f64 x -1/3) (neg.f64 x))))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 4) (-.f64 (*.f64 x -1/3) (neg.f64 x)))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (neg.f64 (.f64 x 2/3)))) (.f64 (pow.f64 eps 4) (.f64 x 2/3))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 x (.f64 2/3 (pow.f64 eps 4))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (.f64 x -2/3)))))
(+.f64 (.f64 x (+.f64 (pow.f64 eps 2) (.f64 (pow.f64 eps 4) 2/3))) (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (*.f64 x -2/3))))
(+.f64 (.f64 x (+.f64 (pow.f64 eps 2) (.f64 (pow.f64 eps 4) 2/3))) (.f64 (pow.f64 eps 6) (.f64 x 32/45)))
(+.f64 (.f64 (pow.f64 eps 8) (-.f64 (.f64 -1/315 x) (.f64 -1 (-.f64 (.f64 2/45 x) (.f64 -1 (-.f64 (.f64 -1/3 x) (.f64 -1 x))))))) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 -1/3 x) (.f64 -1 x))) (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 2/45 x) (.f64 -1 (-.f64 (.f64 -1/3 x) (.f64 -1 x))))) (.f64 (pow.f64 eps 2) x))))
(+.f64 (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (.f64 -1 (-.f64 (.f64 x -1/3) (neg.f64 x))))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 4) (-.f64 (.f64 x -1/3) (neg.f64 x))))) (.f64 (pow.f64 eps 8) (-.f64 (.f64 x -1/315) (.f64 -1 (-.f64 (.f64 x 2/45) (.f64 -1 (-.f64 (*.f64 x -1/3) (neg.f64 x))))))))
(+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (neg.f64 (.f64 x 2/3)))) (+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 4) (.f64 x 2/3))) (.f64 (pow.f64 eps 8) (-.f64 (.f64 x -1/315) (neg.f64 (-.f64 (.f64 x 2/45) (neg.f64 (.f64 x 2/3))))))))
(+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (.f64 x -2/3))) (+.f64 (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 x (.f64 2/3 (pow.f64 eps 4)))) (.f64 (pow.f64 eps 8) (-.f64 (.f64 x -1/315) (neg.f64 (-.f64 (.f64 x 2/45) (.f64 x -2/3)))))))
(+.f64 (.f64 x (+.f64 (pow.f64 eps 2) (.f64 (pow.f64 eps 4) 2/3))) (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (.f64 x 2/45) (.f64 x -2/3))) (.f64 (pow.f64 eps 8) (-.f64 (.f64 x -1/315) (neg.f64 (-.f64 (.f64 x 2/45) (*.f64 x -2/3)))))))
(+.f64 (.f64 x (+.f64 (pow.f64 eps 2) (.f64 (pow.f64 eps 4) 2/3))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 x 32/45)) (.f64 (pow.f64 eps 8) (-.f64 (.f64 x -1/315) (neg.f64 (*.f64 x 32/45))))))
(+.f64 (.f64 x (+.f64 (pow.f64 eps 2) (.f64 (pow.f64 eps 4) 2/3))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 x 32/45)) (.f64 (pow.f64 eps 8) (-.f64 (.f64 x 2/45) (*.f64 x -209/315)))))
(.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 eps 2)))
(.f64 -1 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2))))
(neg.f64 (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2))))
(*.f64 x (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 eps 2))) (.f64 -1 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 eps 4))))
(+.f64 (.f64 -1 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))) (.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 4)))))
(.f64 -1 (+.f64 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 4))) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))))
(.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 4)) (/.f64 x (pow.f64 eps 2)))))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 4)) (/.f64 x (pow.f64 eps 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 eps 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 eps 2))) (.f64 -1 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 eps 4)))))
(+.f64 (.f64 -1 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))) (+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 4)))) (.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 6))))))
(+.f64 (neg.f64 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))) (.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 6))) (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 4))))))
(.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 6))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 4)) (/.f64 x (pow.f64 eps 2))))))
(.f64 -1 (+.f64 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 4))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 2)) (/.f64 x (pow.f64 eps 6))))))
(neg.f64 (+.f64 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 4))) (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 6)) (/.f64 x (pow.f64 eps 2))))))
(+.f64 (.f64 -1 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 eps 6))) (+.f64 (.f64 -1 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 eps 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 eps 2))) (.f64 -1 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 eps 4))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 6)))) (+.f64 (.f64 -1 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))) (+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 4)))) (.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 8)))))))
(+.f64 (neg.f64 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))) (+.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 6))) (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 4))))) (neg.f64 (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 8))))))
(+.f64 (.f64 x (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))) (.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 6))) (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 4)) (/.f64 x (pow.f64 eps 8)))))))
(.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 4)) (/.f64 x (pow.f64 eps 2)))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 6)) (/.f64 x (pow.f64 eps 8))))))
(.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 8)) (/.f64 x (pow.f64 eps 4)))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 6)) (/.f64 x (pow.f64 eps 2))))))
(.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 eps 2)))
(.f64 -1 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2))))
(neg.f64 (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2))))
(*.f64 x (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 eps 2))) (.f64 -1 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 eps 4))))
(+.f64 (.f64 -1 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))) (.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 4)))))
(.f64 -1 (+.f64 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 4))) (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))))
(.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 4)) (/.f64 x (pow.f64 eps 2)))))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 4)) (/.f64 x (pow.f64 eps 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 eps 6))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 eps 2))) (.f64 -1 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 eps 4)))))
(+.f64 (.f64 -1 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))) (+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 4)))) (.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 6))))))
(+.f64 (neg.f64 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))) (.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 6))) (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 4))))))
(.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 6))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 4)) (/.f64 x (pow.f64 eps 2))))))
(.f64 -1 (+.f64 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 4))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 2)) (/.f64 x (pow.f64 eps 6))))))
(neg.f64 (+.f64 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 4))) (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 6)) (/.f64 x (pow.f64 eps 2))))))
(+.f64 (.f64 -1 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 eps 6))) (+.f64 (.f64 -1 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 eps 8))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 eps 2))) (.f64 -1 (/.f64 (.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 eps 4))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 6)))) (+.f64 (.f64 -1 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))) (+.f64 (.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 4)))) (.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 8)))))))
(+.f64 (neg.f64 (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))) (+.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 6))) (.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 4))))) (neg.f64 (*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 8))))))
(+.f64 (.f64 x (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))) (.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (pow.f64 eps 6))) (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 4)) (/.f64 x (pow.f64 eps 8)))))))
(.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 4)) (/.f64 x (pow.f64 eps 2)))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 6)) (/.f64 x (pow.f64 eps 8))))))
(.f64 -1 (+.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 8)) (/.f64 x (pow.f64 eps 4)))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (/.f64 x (pow.f64 eps 6)) (/.f64 x (pow.f64 eps 2))))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (pow.f64 eps 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (pow.f64 eps 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (pow.f64 eps 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (pow.f64 eps 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (pow.f64 eps 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (pow.f64 eps 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (pow.f64 eps 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (pow.f64 eps 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (pow.f64 eps 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (pow.f64 eps 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (pow.f64 eps 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (pow.f64 eps 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))) 0)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(+.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (+.f64 (pow.f64 eps 2) -1)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))) 0)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(-.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (+.f64 (pow.f64 eps 2) -1))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (*.f64 2 (-.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 2 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 2 (.f64 (*.f64 x (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 2 (.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))) x))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 2 (.f64 (*.f64 x 1/2) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 2 (.f64 (/.f64 1/2 (-.f64 1 (pow.f64 eps 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 1 (-.f64 1 (pow.f64 eps 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))) 1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x x)) (/.f64 1/2 (-.f64 1 (pow.f64 eps 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x x)) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) 1/2))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))) x)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 x)) (/.f64 1 (+.f64 (pow.f64 eps 2) -1)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 -1 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (+.f64 (pow.f64 eps 2) -1))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 2 (pow.f64 (sin.f64 eps) 2)) (*.f64 x (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 2 (pow.f64 (sin.f64 eps) 2)) (.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) (.f64 x 1/2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (+.f64 x x) (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 eps 2)))) 1/2)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 x 4)) (/.f64 1 (.f64 (-.f64 1 (pow.f64 eps 2)) 4)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) (.f64 (pow.f64 (sin.f64 eps) 2) x))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 eps 2))) (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 x (+.f64 (pow.f64 eps 2) -1)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2)))) (*.f64 x 1/2))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 eps 2))) (.f64 (pow.f64 (sin.f64 eps) 2) 1/2))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (+.f64 (pow.f64 eps 2) -1))) -1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 1/2 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) 1/2) (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 eps 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(*.f64 (neg.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (pow.f64 eps 2) -1)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))) (+.f64 x x))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 x (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))) (*.f64 2 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (/.f64 1/2 (-.f64 1 (pow.f64 eps 2))) (.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (/.f64 1 (+.f64 (pow.f64 eps 2) -1)) (.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 x (.f64 (pow.f64 (sin.f64 eps) 2) -2)) (/.f64 2 (.f64 (+.f64 (pow.f64 eps 2) -1) 4)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) 1/2) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) (.f64 x 1/2)) (.f64 2 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (.f64 (/.f64 1 (-.f64 1 (pow.f64 eps 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) 1/2)) (+.f64 x x))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (pow.f64 eps 2) -1)) (neg.f64 x))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (*.f64 2 (-.f64 1 (pow.f64 eps 2)))) 2)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(*.f64 (/.f64 x (+.f64 (pow.f64 eps 2) -1)) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2)))) 2) 2)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (/.f64 1 (.f64 (-.f64 1 (pow.f64 eps 2)) 4)) (.f64 (pow.f64 (sin.f64 eps) 2) (.f64 x 4)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (/.f64 2 (.f64 (+.f64 (pow.f64 eps 2) -1) 4)) (.f64 x (.f64 (pow.f64 (sin.f64 eps) 2) -2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(.f64 (+.f64 (/.f64 1/2 (-.f64 1 (pow.f64 eps 2))) (/.f64 1/2 (-.f64 1 (pow.f64 eps 2)))) (.f64 (pow.f64 (sin.f64 eps) 2) x))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (+.f64 (pow.f64 eps 2) -1))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 x (-.f64 1 (pow.f64 eps 2))))
(*.f64 x (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 eps 2))))

eval491.0ms (1.3%)

Compiler: Compiled 17316 to 10601 computations (38.8% saved)

prune241.0ms (0.6%)

Pruning

50 alts after pruning (41 fresh and 9 done)

	Pruned	Kept	Total
New	589	20	609
Fresh	3	21	24
Picked	0	1	1
Done	1	8	9
Total	593	50	643

Error

15.1b

Counts

643 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	36.6b	(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps)) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	36.6b	(/.f64 (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps))
	36.6b	(/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 eps)))
✓	28.0b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	61.3b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
	39.0b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
	40.8b	(-.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 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))))) (tan.f64 x))
✓	39.0b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	30.9b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
✓	29.5b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (-.f64 1 (pow.f64 eps 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
▶	31.0b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	44.3b	(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (tan.f64 x))) -1)
	43.9b	(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) -1)
	47.0b	(+.f64 (+.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 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))))) (-.f64 1 (tan.f64 x))) -1)
	61.5b	(+.f64 (+.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 1 (.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)))))))) -1)
	45.2b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) -1)
✓	45.2b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
	46.7b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 x)) -1)
▶	45.2b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (+.f64 (tan.f64 x) -2))) -1)
	45.2b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) -1)
	61.4b	(+.f64 (+.f64 1 (.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))))) -1)
	33.9b	(+.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 (pow.f64 eps 3) (neg.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.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))))))))))
	34.0b	(+.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 (-.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)))))
	42.2b	(+.f64 (*.f64 x (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 eps 2)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	48.1b	(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
	33.3b	(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	48.3b	(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 4) 2/3))))
	45.8b	(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
✓	61.3b	(+.f64 1 -1)
	36.5b	(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
	36.8b	(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps))))))
	36.7b	(.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))
	28.0b	(*.f64 (/.f64 1 (cos.f64 eps)) (/.f64 1 (/.f64 1 (sin.f64 eps))))
▶	28.0b	(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
✓	33.8b	(.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))))
	33.9b	(.f64 (-.f64 (/.f64 (+.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) -1)) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
▶	36.7b	(.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1/2 (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))
	36.7b	(.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))
	28.0b	(*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (/.f64 1 (cos.f64 eps)))))
✓	33.3b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
	44.9b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1))
	33.6b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))))) -1))
	44.6b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1))
	33.4b	(*.f64 eps (-.f64 (/.f64 (+.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) -1)) (pow.f64 (cos.f64 x) 2)) -1))
✓	48.3b	(.f64 eps (-.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))) -1))
	33.3b	(.f64 eps (-.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) -1))
	41.8b	(.f64 eps (-.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) -1))
	62.5b	(.f64 eps (.f64 17/45 (pow.f64 x 6)))
▶	62.5b	(.f64 17/45 (.f64 eps (pow.f64 x 6)))
	45.1b	eps

Compiler

Compiled 1969 to 1356 computations (31.1% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
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	@	inf	(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))

rewrite71.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`bool.json-1`
1396×	`bool.json-2`
1356×	`rational.json-1`
1356×	`rational.json-2`
1356×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	101	26
2	312	26
3	692	26
4	1613	26
5	4403	26

Stop Event

1×	node limit

Counts

2 → 65

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

simplify103.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1158×	`rational.json-simplify-2`
966×	`rational.json-simplify-51`
942×	`rational.json-simplify-61`
920×	`rational.json-simplify-35`
900×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	1255
1	493	1255
2	1272	1255
3	4005	1255
4	7643	1255

Stop Event

1×	node limit

Counts

81 → 83

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 (.f64 (sin.f64 eps) 1/2) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) 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 (/.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 (-.f64 0 (/.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 4 (*.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps)))
(/.f64 -2 (-.f64 0 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))))
(/.f64 8 (+.f64 (.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))) (.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))))
(/.f64 8 (/.f64 (*.f64 (cos.f64 eps) 8) (sin.f64 eps)))
(/.f64 (/.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))) 4)
(/.f64 (.f64 (sin.f64 eps) 4) (.f64 (cos.f64 eps) 4))
(/.f64 1/2 (/.f64 (*.f64 (cos.f64 eps) 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 (.f64 2 (.f64 (sin.f64 eps) 4)) (*.f64 (cos.f64 eps) 8))
(/.f64 (*.f64 2 (/.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))) 8)
(/.f64 (.f64 2 (neg.f64 (sin.f64 eps))) (.f64 (cos.f64 eps) -2))
(/.f64 (/.f64 (*.f64 (sin.f64 eps) 1/2) (cos.f64 eps)) 1/2)
(/.f64 (.f64 (sin.f64 eps) 1/2) (.f64 (cos.f64 eps) 1/2))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) 2)) (.f64 (cos.f64 eps) -2))
(/.f64 (neg.f64 (.f64 (sin.f64 eps) 2)) (neg.f64 (.f64 (cos.f64 eps) 2)))
(/.f64 (+.f64 (neg.f64 (.f64 (sin.f64 eps) 2)) (neg.f64 (.f64 (sin.f64 eps) 2))) (.f64 2 (neg.f64 (.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 (.f64 2 (/.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps)))) (.f64 2 (/.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))))) 16)
(/.f64 (+.f64 (.f64 2 (neg.f64 (sin.f64 eps))) (.f64 2 (neg.f64 (sin.f64 eps)))) (.f64 2 (.f64 (cos.f64 eps) -2)))
(/.f64 (/.f64 (sin.f64 eps) 1/2) (*.f64 (cos.f64 eps) 2))
(/.f64 (/.f64 (.f64 2 (.f64 (sin.f64 eps) 4)) (cos.f64 eps)) 8)
(/.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) -1)
(/.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) 4)) 1/4)
(/.f64 (/.f64 (neg.f64 (sin.f64 eps)) (cos.f64 eps)) -1)
(/.f64 (neg.f64 (.f64 (sin.f64 eps) 4)) (neg.f64 (.f64 (cos.f64 eps) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 eps) 2))) (.f64 (cos.f64 eps) 2))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 eps) 2))) (-.f64 0 (neg.f64 (.f64 (cos.f64 eps) 2))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (sin.f64 eps)))) (-.f64 0 (.f64 (cos.f64 eps) -2)))
(+.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 (.f64 (cos.f64 eps) 2) (/.f64 1 (.f64 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 (/.f64 1 (cos.f64 eps)) 4) 1/4)
(*.f64 1/2 (/.f64 2 (cos.f64 eps)))
(*.f64 (/.f64 1/2 (cos.f64 eps)) 2)
(.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 1/4 (.f64 (/.f64 1 (cos.f64 eps)) 4))
(.f64 (.f64 (cos.f64 eps) 1/2) (/.f64 2 (*.f64 (cos.f64 eps) (cos.f64 eps))))
(.f64 (/.f64 1/2 (.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 eps) 2))
(.f64 (/.f64 1 (.f64 2 (.f64 (cos.f64 eps) (cos.f64 eps)))) (.f64 (cos.f64 eps) 2))
(*.f64 (/.f64 (/.f64 1 (cos.f64 eps)) 4) 4)

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 17/45 (.f64 eps (pow.f64 x 6)))
✓	2.0b	(*.f64 eps (pow.f64 x 6))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series8.0ms (0%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(*.f64 eps (pow.f64 x 6))
0.0ms	eps	@	inf	(*.f64 eps (pow.f64 x 6))
0.0ms	x	@	inf	(*.f64 eps (pow.f64 x 6))
0.0ms	eps	@	0	(.f64 17/45 (.f64 eps (pow.f64 x 6)))
0.0ms	eps	@	-inf	(.f64 17/45 (.f64 eps (pow.f64 x 6)))

rewrite194.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1286×	`bool.json-1`
1286×	`bool.json-2`
1242×	`rational.json-1`
1242×	`rational.json-2`
1242×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	90	32
2	245	32
3	513	32
4	1024	32
5	2235	32
6	4760	32

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f64 eps (pow.f64 x 6))
(.f64 17/45 (.f64 eps (pow.f64 x 6)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 (pow.f64 x 6) 17/45)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (*.f64 (pow.f64 x 6) 17/45)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 (pow.f64 x 6) 17/90)) (*.f64 eps (*.f64 (pow.f64 x 6) 17/90)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 eps (*.f64 (pow.f64 x 6) 17/45)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (*.f64 (pow.f64 x 6) 17/45)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (*.f64 (pow.f64 x 6) 34/45)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (*.f64 (pow.f64 x 6) 68/45)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps (*.f64 (pow.f64 x 6) 17/45)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 eps (*.f64 (pow.f64 x 6) 17/45)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (*.f64 (pow.f64 x 6) 17/45)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (*.f64 (pow.f64 x 6) 17/45)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 eps (*.f64 (pow.f64 x 6) 17/45)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 eps (*.f64 (pow.f64 x 6) 17/45))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 eps (*.f64 (pow.f64 x 6) 17/45)) (*.f64 eps (*.f64 (pow.f64 x 6) 17/45)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 eps (*.f64 (pow.f64 x 6) 17/45)) (*.f64 eps (*.f64 (pow.f64 x 6) 17/45)))))))

simplify1.1s (2.7%)

Algorithm

1×	egg-herbie

Rules

4736×	`rational.json-simplify-35`
2586×	`rational.json-simplify-2`
1442×	`rational.json-simplify-1`
1258×	`rational.json-simplify-53`
950×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	352
1	154	352
2	332	352
3	828	352
4	1984	352
5	3367	352
6	3826	352
7	4143	352
8	4330	352
9	4483	352
10	4614	352
11	5695	352
12	5838	352
13	5840	352
14	5842	352
15	5842	352
16	6047	352
17	6223	352
18	6359	352
19	6480	352
20	6601	352
21	6872	352
22	7012	352
23	7217	352
24	7405	352
25	7541	352
26	7541	352
27	7662	352
28	7783	352
29	7904	352

Stop Event

1×	node limit

Counts

22 → 24

Calls

Call 1

Inputs
(+.f64 (*.f64 eps (pow.f64 x 6)) 0)
(+.f64 0 (*.f64 eps (pow.f64 x 6)))
(+.f64 (.f64 (pow.f64 x 6) (.f64 eps 1/2)) (.f64 (pow.f64 x 6) (.f64 eps 1/2)))
(-.f64 (*.f64 eps (pow.f64 x 6)) 0)
(/.f64 (*.f64 eps (pow.f64 x 6)) 1)
(/.f64 (*.f64 (pow.f64 x 6) (+.f64 eps eps)) 2)
(/.f64 (.f64 (pow.f64 x 6) (.f64 eps 4)) 4)
(/.f64 (.f64 (.f64 eps (pow.f64 x 6)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 eps (pow.f64 x 6)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 eps (pow.f64 x 6)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 eps (pow.f64 x 6)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 eps (pow.f64 x 6)) 8)))) 64)
(+.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/45)) 0)
(+.f64 0 (.f64 eps (.f64 (pow.f64 x 6) 17/45)))
(+.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/90)) (.f64 eps (.f64 (pow.f64 x 6) 17/90)))
(-.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/45)) 0)
(/.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/45)) 1)
(/.f64 (.f64 eps (.f64 (pow.f64 x 6) 34/45)) 2)
(/.f64 (.f64 eps (.f64 (pow.f64 x 6) 68/45)) 4)
(/.f64 (.f64 (.f64 eps (*.f64 (pow.f64 x 6) 17/45)) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/45)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 eps (*.f64 (pow.f64 x 6) 17/45)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/45)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/45)) 8)))) 64)

Outputs
(+.f64 (*.f64 eps (pow.f64 x 6)) 0)
(*.f64 eps (pow.f64 x 6))
(+.f64 0 (*.f64 eps (pow.f64 x 6)))
(*.f64 eps (pow.f64 x 6))
(+.f64 (.f64 (pow.f64 x 6) (.f64 eps 1/2)) (.f64 (pow.f64 x 6) (.f64 eps 1/2)))
(*.f64 eps (pow.f64 x 6))
(-.f64 (*.f64 eps (pow.f64 x 6)) 0)
(*.f64 eps (pow.f64 x 6))
(/.f64 (*.f64 eps (pow.f64 x 6)) 1)
(*.f64 eps (pow.f64 x 6))
(/.f64 (*.f64 (pow.f64 x 6) (+.f64 eps eps)) 2)
(*.f64 eps (pow.f64 x 6))
(/.f64 (.f64 (pow.f64 x 6) (.f64 eps 4)) 4)
(*.f64 eps (pow.f64 x 6))
(/.f64 (.f64 (.f64 eps (pow.f64 x 6)) 8) 8)
(*.f64 eps (pow.f64 x 6))
(/.f64 (.f64 2 (.f64 (*.f64 eps (pow.f64 x 6)) 8)) 16)
(*.f64 eps (pow.f64 x 6))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 eps (pow.f64 x 6)) 8))) 32)
(*.f64 eps (pow.f64 x 6))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 eps (pow.f64 x 6)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 eps (pow.f64 x 6)) 8)))) 64)
(*.f64 eps (pow.f64 x 6))
(+.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/45)) 0)
(.f64 eps (.f64 (pow.f64 x 6) 17/45))
(+.f64 0 (.f64 eps (.f64 (pow.f64 x 6) 17/45)))
(.f64 eps (.f64 (pow.f64 x 6) 17/45))
(+.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/90)) (.f64 eps (.f64 (pow.f64 x 6) 17/90)))
(.f64 eps (.f64 (pow.f64 x 6) 17/45))
(-.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/45)) 0)
(.f64 eps (.f64 (pow.f64 x 6) 17/45))
(/.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/45)) 1)
(.f64 eps (.f64 (pow.f64 x 6) 17/45))
(/.f64 (.f64 eps (.f64 (pow.f64 x 6) 34/45)) 2)
(.f64 eps (.f64 (pow.f64 x 6) 17/45))
(/.f64 (.f64 eps (.f64 (pow.f64 x 6) 68/45)) 4)
(.f64 eps (.f64 (pow.f64 x 6) 17/45))
(/.f64 (.f64 (.f64 eps (*.f64 (pow.f64 x 6) 17/45)) 8) 8)
(.f64 eps (.f64 (pow.f64 x 6) 17/45))
(/.f64 (.f64 2 (.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/45)) 8)) 16)
(.f64 eps (.f64 (pow.f64 x 6) 17/45))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 eps (*.f64 (pow.f64 x 6) 17/45)) 8))) 32)
(.f64 eps (.f64 (pow.f64 x 6) 17/45))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/45)) 8))) (.f64 2 (.f64 2 (.f64 (.f64 eps (.f64 (pow.f64 x 6) 17/45)) 8)))) 64)
(.f64 eps (.f64 (pow.f64 x 6) 17/45))

localize127.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (+.f64 (tan.f64 x) -2)))
✓	0.3b	(-.f64 -1 (+.f64 (tan.f64 x) -2))
	4.7b	(tan.f64 (+.f64 x eps))
✓	6.0b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (+.f64 (tan.f64 x) -2))) -1)

Compiler

Compiled 49 to 25 computations (49% saved)

series2.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite109.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2002×	`bool.json-1`
2002×	`bool.json-2`
1140×	`rational.json-simplify-35`
1076×	`rational.json-1`
1076×	`rational.json-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	89
1	143	89
2	384	79
3	836	79
4	1835	63
5	3906	63
6	7268	63

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (+.f64 (tan.f64 x) -2))) -1)
(-.f64 -1 (+.f64 (tan.f64 x) -2))
(+.f64 (tan.f64 (+.f64 x eps)) (-.f64 -1 (+.f64 (tan.f64 x) -2)))

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

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

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

simplify285.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1588×	`rational.json-simplify-35`
1054×	`rational.json-simplify-2`
854×	`rational.json-simplify-51`
854×	`rational.json-simplify-1`
734×	`rational.json-simplify-26`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	264	6592
1	628	6256
2	1372	5848
3	2948	5556
4	4305	5388
5	4823	5388
6	5881	5388
7	6856	5388
8	7718	5388

Stop Event

1×	node limit

Counts

128 → 172

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

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	0.3b	(pow.f64 (sin.f64 eps) 2)
	4.7b	(*.f64 (pow.f64 (sin.f64 eps) 2) x)

Compiler

Compiled 47 to 23 computations (51.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cos.f64 eps) (sin.f64 eps))
✓	0.2b	(/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps))
✓	0.5b	(/.f64 1/2 (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps))))
✓	14.8b	(.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1/2 (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))

Compiler

Compiled 78 to 22 computations (71.8% saved)

series4.0ms (0%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(/.f64 1/2 (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps))))
1.0ms	eps	@	-inf	(/.f64 1/2 (*.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps))))
0.0ms	eps	@	inf	(/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps))
0.0ms	eps	@	-inf	(/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps))
0.0ms	eps	@	inf	(/.f64 (cos.f64 eps) (sin.f64 eps))

rewrite274.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`bool.json-1`
1844×	`bool.json-2`
1810×	`rational.json-1`
1506×	`bool.json-3`
858×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	148
1	164	148
2	533	136
3	1714	96
4	5597	96

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

Outputs
((#(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) (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)))) (#(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 2 (+.f64 (.f64 (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 eps) (/.f64 (/.f64 1/2 (cos.f64 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((x /.f64 (.f64 (cos.f64 eps) (/.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))))) (/.f64 1 (/.f64 1/2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (sin.f64 eps))) (neg.f64 (.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))) (neg.f64 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (cos.f64 eps)))) (.f64 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (cos.f64 eps) (/.f64 (/.f64 2 (sin.f64 eps)) (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 eps) (/.f64 1 (sin.f64 eps)))))) (#(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 2 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sin.f64 eps)) (.f64 (cos.f64 eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1)))) (#(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 (cos.f64 eps) 2) (/.f64 1/2 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 eps) 2) (.f64 (/.f64 1/2 (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 eps) 2) (.f64 1/2 (/.f64 1 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) 1/2)))) (#(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 (.f64 (cos.f64 eps) 4) (/.f64 1 (.f64 (sin.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 eps)) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 eps)) (/.f64 1 (neg.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sin.f64 eps)) (.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (cos.f64 eps) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))))

simplify848.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1388×	`rational.json-simplify-2`
938×	`rational.json-simplify-35`
726×	`rational.json-simplify-41`
632×	`rational.json-simplify-1`
584×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	5185
1	1097	5115
2	3715	5041
3	6832	5041

Stop Event

1×	node limit

Counts

187 → 248

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))
(*.f64 1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 1/3 (pow.f64 eps 4)))
(+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (*.f64 17/90 (pow.f64 eps 6))))
(+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (+.f64 (.f64 31/315 (pow.f64 eps 8)) (.f64 17/90 (pow.f64 eps 6)))))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(/.f64 1 (pow.f64 eps 2))
(-.f64 (/.f64 1 (pow.f64 eps 2)) 1/6)
(-.f64 (+.f64 (*.f64 -7/120 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 2))) 1/6)
(-.f64 (+.f64 (.f64 -31/3024 (pow.f64 eps 4)) (+.f64 (.f64 -7/120 (pow.f64 eps 2)) (/.f64 1 (pow.f64 eps 2)))) 1/6)
(/.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))
(/.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))
(/.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))
(/.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))
(/.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))
(/.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))
(/.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))
(/.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -1/3 eps))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 -1/3 eps) (.f64 -1/45 (pow.f64 eps 3))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 -1/3 eps) (+.f64 (.f64 -1/45 (pow.f64 eps 3)) (*.f64 -2/945 (pow.f64 eps 5)))))
(+.f64 0 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(/.f64 2 (+.f64 (.f64 (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (.f64 (sin.f64 eps) (/.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))))
(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 1 (.f64 (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (.f64 2 (sin.f64 eps)) (.f64 (cos.f64 eps) 2))
(/.f64 4 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 4))
(/.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps)))))
(/.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 1/2 (sin.f64 eps)))
(/.f64 -1 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))))
(/.f64 (.f64 (sin.f64 eps) 4) (.f64 (cos.f64 eps) 4))
(/.f64 (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 4) (.f64 (cos.f64 eps) (.f64 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))) 4)))
(/.f64 (/.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))))) (.f64 (sin.f64 eps) 1/2))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))
(/.f64 -2 (neg.f64 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps)))))
(/.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (neg.f64 (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(/.f64 (*.f64 (sin.f64 eps) (/.f64 2 (cos.f64 eps))) 2)
(/.f64 (.f64 2 (neg.f64 (sin.f64 eps))) (.f64 2 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 4) 4)
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(*.f64 2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (/.f64 1/4 (/.f64 (cos.f64 eps) (sin.f64 eps))))))
(*.f64 (sin.f64 eps) (/.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (/.f64 1/2 (cos.f64 eps)))))
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(.f64 1/2 (.f64 2 (*.f64 (sin.f64 eps) (/.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))))
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(.f64 1 (.f64 (sin.f64 eps) (/.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))))
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(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 1 (/.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 1/2 (cos.f64 eps)))))
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(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 1 (/.f64 1/2 (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 1/2 (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 1 (/.f64 1 (/.f64 1/2 (cos.f64 eps)))))
(*.f64 (fabs.f64 (sin.f64 eps)) (/.f64 (fabs.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (/.f64 1/2 (cos.f64 eps)))))
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(*.f64 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (/.f64 1/2 (cos.f64 eps)))) (sin.f64 eps))
(.f64 (/.f64 1 (/.f64 (cos.f64 eps) (/.f64 1/2 (cos.f64 eps)))) (.f64 (sin.f64 eps) (sin.f64 eps)))
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(-.f64 (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps))) 0)
(.f64 (cos.f64 eps) (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps))))
(.f64 2 (.f64 (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps))) 1/2))
(.f64 2 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 2 (sin.f64 eps))))
(.f64 2 (/.f64 (cos.f64 eps) (.f64 2 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(.f64 2 (/.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (*.f64 (sin.f64 eps) 4)))
(.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 2 (sin.f64 eps))))
(.f64 1/2 (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))
(.f64 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))) 1)
(.f64 1 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))))
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(*.f64 -1 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (neg.f64 (sin.f64 eps))))
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(*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))
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(-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 0)
(*.f64 (cos.f64 eps) (/.f64 1 (sin.f64 eps)))
(.f64 2 (/.f64 (cos.f64 eps) (.f64 2 (sin.f64 eps))))
(*.f64 2 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 2))
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(.f64 1/2 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1)
(*.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
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(*.f64 -1 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))))
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(.f64 (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 4) 1/4)
(*.f64 (/.f64 1 (sin.f64 eps)) (cos.f64 eps))
(*.f64 (neg.f64 (cos.f64 eps)) (/.f64 1 (neg.f64 (sin.f64 eps))))
(.f64 (/.f64 1/2 (sin.f64 eps)) (.f64 (cos.f64 eps) 2))

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 (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 1/2 (pow.f64 eps 2))
(+.f64 (.f64 1/2 (pow.f64 eps 2)) (.f64 1/3 (pow.f64 eps 4)))
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(+.f64 (.f64 1/3 (pow.f64 eps 4)) (+.f64 (.f64 1/2 (pow.f64 eps 2)) (*.f64 17/90 (pow.f64 eps 6))))
(+.f64 (.f64 1/2 (pow.f64 eps 2)) (+.f64 (.f64 1/3 (pow.f64 eps 4)) (+.f64 (.f64 31/315 (pow.f64 eps 8)) (.f64 17/90 (pow.f64 eps 6)))))
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(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
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(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
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(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 1/2 (/.f64 2 (sin.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1/2 (/.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(.f64 1/2 (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))
(.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 1/2 (/.f64 2 (sin.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1/2 (/.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps)))
(/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps)))
(.f64 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))) 1)
(/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps)))
(.f64 1 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))))
(/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps)))
(.f64 (.f64 (cos.f64 eps) 2) (/.f64 1/2 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(.f64 2 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) 2)))
(.f64 2 (/.f64 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))) 2))
(.f64 2 (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1/2 (sin.f64 eps))))
(.f64 (cos.f64 eps) (.f64 2 (/.f64 1/2 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(.f64 (.f64 (cos.f64 eps) 2) (.f64 (/.f64 1/2 (.f64 (sin.f64 eps) (sin.f64 eps))) 1))
(.f64 2 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) 2)))
(.f64 2 (/.f64 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))) 2))
(.f64 2 (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1/2 (sin.f64 eps))))
(.f64 (cos.f64 eps) (.f64 2 (/.f64 1/2 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(.f64 (.f64 (cos.f64 eps) 2) (*.f64 (/.f64 1/2 (sin.f64 eps)) (/.f64 1 (sin.f64 eps))))
(/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps)))
(.f64 (.f64 (cos.f64 eps) 2) (.f64 1/2 (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps)))))
(/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps)))
(.f64 (.f64 (cos.f64 eps) 2) (/.f64 (/.f64 2 (sin.f64 eps)) (*.f64 (sin.f64 eps) 4)))
(.f64 2 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) 2)))
(.f64 2 (/.f64 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))) 2))
(.f64 2 (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1/2 (sin.f64 eps))))
(.f64 (cos.f64 eps) (.f64 2 (/.f64 1/2 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1/2 (sin.f64 eps)))
(.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 1/2 (/.f64 2 (sin.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1/2 (/.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (*.f64 (/.f64 1/2 (sin.f64 eps)) 1))
(.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 1/2 (/.f64 2 (sin.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1/2 (/.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (*.f64 1/2 (/.f64 1 (sin.f64 eps))))
(.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 1/2 (/.f64 2 (sin.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1/2 (/.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(.f64 -1 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))))
(neg.f64 (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))))
(neg.f64 (/.f64 (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(.f64 -1 (/.f64 (cos.f64 eps) (neg.f64 (.f64 (sin.f64 eps) (sin.f64 eps)))))
(.f64 -1 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))))
(neg.f64 (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))))
(neg.f64 (/.f64 (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(*.f64 -1 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (neg.f64 (sin.f64 eps))))
(.f64 -1 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))))
(neg.f64 (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))))
(neg.f64 (/.f64 (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(.f64 (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))) 1/2)
(.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 1/2 (/.f64 2 (sin.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1/2 (/.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(.f64 (.f64 (cos.f64 eps) 4) (/.f64 1 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) 4))))
(.f64 (/.f64 (/.f64 1/4 (sin.f64 eps)) (sin.f64 eps)) (.f64 (cos.f64 eps) 4))
(.f64 (cos.f64 eps) (.f64 4 (/.f64 (/.f64 1/4 (sin.f64 eps)) (sin.f64 eps))))
(.f64 (.f64 2 (/.f64 2 (sin.f64 eps))) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) 4)))
(.f64 2 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) 2)))
(.f64 2 (/.f64 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))) 2))
(.f64 2 (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1/2 (sin.f64 eps))))
(.f64 (cos.f64 eps) (.f64 2 (/.f64 1/2 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(.f64 (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 4) (/.f64 1 (*.f64 (sin.f64 eps) 4)))
(.f64 (.f64 4 (/.f64 (cos.f64 eps) (sin.f64 eps))) (/.f64 1 (*.f64 (sin.f64 eps) 4)))
(.f64 4 (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1/4 (sin.f64 eps))))
(*.f64 (/.f64 1 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps)))
(.f64 (/.f64 1 (.f64 (sin.f64 eps) (sin.f64 eps))) (cos.f64 eps))
(/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps)))
(.f64 (neg.f64 (cos.f64 eps)) (/.f64 1 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))))
(*.f64 (neg.f64 (cos.f64 eps)) (/.f64 (/.f64 -1 (sin.f64 eps)) (sin.f64 eps)))
(/.f64 (neg.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))))
(/.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(.f64 (neg.f64 (cos.f64 eps)) (/.f64 1 (neg.f64 (.f64 (sin.f64 eps) (sin.f64 eps)))))
(.f64 (neg.f64 (cos.f64 eps)) (/.f64 1 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))))
(*.f64 (neg.f64 (cos.f64 eps)) (/.f64 (/.f64 -1 (sin.f64 eps)) (sin.f64 eps)))
(/.f64 (neg.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))))
(/.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 1 (neg.f64 (sin.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (/.f64 -1 (sin.f64 eps)))
(/.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))) (neg.f64 (sin.f64 eps)))
(/.f64 (/.f64 (neg.f64 (cos.f64 eps)) (sin.f64 eps)) (neg.f64 (sin.f64 eps)))
(.f64 (/.f64 1/2 (.f64 (sin.f64 eps) (sin.f64 eps))) (*.f64 (cos.f64 eps) 2))
(.f64 2 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) 2)))
(.f64 2 (/.f64 (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps))) 2))
(.f64 2 (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1/2 (sin.f64 eps))))
(.f64 (cos.f64 eps) (.f64 2 (/.f64 1/2 (*.f64 (sin.f64 eps) (sin.f64 eps)))))
(.f64 (/.f64 1/2 (sin.f64 eps)) (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 1/2 (/.f64 2 (sin.f64 eps))))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 1/2 (/.f64 (sin.f64 eps) 2)))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 1/2 (/.f64 (cos.f64 eps) (sin.f64 eps))))
(+.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 0)
(/.f64 (cos.f64 eps) (sin.f64 eps))
(+.f64 0 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(-.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 0)
(/.f64 (cos.f64 eps) (sin.f64 eps))
(*.f64 (cos.f64 eps) (/.f64 1 (sin.f64 eps)))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(.f64 2 (/.f64 (cos.f64 eps) (.f64 2 (sin.f64 eps))))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(*.f64 2 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 2))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(.f64 (/.f64 2 (sin.f64 eps)) (.f64 (cos.f64 eps) 1/2))
(.f64 (cos.f64 eps) (.f64 1/2 (/.f64 2 (sin.f64 eps))))
(*.f64 (cos.f64 eps) (/.f64 1/2 (/.f64 (sin.f64 eps) 2)))
(.f64 1/2 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
(.f64 (cos.f64 eps) (.f64 1/2 (/.f64 2 (sin.f64 eps))))
(*.f64 (cos.f64 eps) (/.f64 1/2 (/.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 1)
(/.f64 (cos.f64 eps) (sin.f64 eps))
(*.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(.f64 (.f64 (cos.f64 eps) 2) (/.f64 1/2 (sin.f64 eps)))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(.f64 (.f64 (cos.f64 eps) 2) (*.f64 (/.f64 1/2 (sin.f64 eps)) 1))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(.f64 (.f64 (cos.f64 eps) 2) (*.f64 1/2 (/.f64 1 (sin.f64 eps))))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) 1/2)
(.f64 (cos.f64 eps) (.f64 1/2 (/.f64 2 (sin.f64 eps))))
(*.f64 (cos.f64 eps) (/.f64 1/2 (/.f64 (sin.f64 eps) 2)))
(*.f64 -1 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))))
(neg.f64 (/.f64 (cos.f64 eps) (neg.f64 (sin.f64 eps))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 eps)) (sin.f64 eps)))
(.f64 (.f64 (cos.f64 eps) 4) (/.f64 1 (*.f64 (sin.f64 eps) 4)))
(.f64 (/.f64 1/4 (sin.f64 eps)) (.f64 (cos.f64 eps) 4))
(.f64 (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) 4) 1/4)
(/.f64 (cos.f64 eps) (sin.f64 eps))
(*.f64 (/.f64 1 (sin.f64 eps)) (cos.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(*.f64 (neg.f64 (cos.f64 eps)) (/.f64 1 (neg.f64 (sin.f64 eps))))
(*.f64 (neg.f64 (cos.f64 eps)) (/.f64 -1 (sin.f64 eps)))
(/.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 eps)))
(.f64 (/.f64 1/2 (sin.f64 eps)) (.f64 (cos.f64 eps) 2))
(/.f64 (cos.f64 eps) (sin.f64 eps))

eval819.0ms (2.1%)

Compiler: Compiled 17933 to 10039 computations (44% saved)

prune387.0ms (1%)

Pruning

62 alts after pruning (52 fresh and 10 done)

	Pruned	Kept	Total
New	691	25	716
Fresh	9	27	36
Picked	1	0	1
Done	3	10	13
Total	704	62	766

Error

14.8b

Counts

766 → 62

Alt Table

Click to see full alt table

Status	Error	Program
	36.8b	(/.f64 (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps))))
	36.7b	(/.f64 (/.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))))) (.f64 (sin.f64 eps) 1/2))
	36.7b	(/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps)))))
	28.0b	(/.f64 (/.f64 2 (/.f64 2 (sin.f64 eps))) (cos.f64 eps))
	28.1b	(/.f64 (/.f64 2 (cos.f64 eps)) (/.f64 2 (sin.f64 eps)))
	36.7b	(/.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps))) (+.f64 (/.f64 2 (sin.f64 eps)) (/.f64 0 (cos.f64 eps)))))
	36.7b	(/.f64 (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (cos.f64 eps))) (.f64 (/.f64 2 (sin.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps))))
	36.6b	(/.f64 (.f64 (/.f64 2 (sin.f64 eps)) (.f64 (sin.f64 eps) (sin.f64 eps))) (neg.f64 (*.f64 (cos.f64 eps) -2)))
	36.6b	(/.f64 (.f64 (sin.f64 eps) (/.f64 (/.f64 1/2 (cos.f64 eps)) (/.f64 (cos.f64 eps) (sin.f64 eps)))) (.f64 (sin.f64 eps) (/.f64 1/2 (cos.f64 eps))))
	36.6b	(/.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (.f64 (sin.f64 eps) (cos.f64 eps)))
✓	28.0b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	36.7b	(/.f64 (cos.f64 eps) (.f64 (sin.f64 eps) (.f64 (cos.f64 eps) (.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 1/2 (/.f64 2 (sin.f64 eps)))))))
	28.1b	(/.f64 2 (*.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))))
	28.0b	(/.f64 1 (/.f64 (cos.f64 eps) (sin.f64 eps)))
	36.7b	(/.f64 1 (.f64 (.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (sin.f64 eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
	36.6b	(/.f64 1/2 (.f64 (cos.f64 eps) (/.f64 (/.f64 (sin.f64 eps) (.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) (cos.f64 eps)))))
	61.3b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
	39.0b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
	40.8b	(-.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 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))))) (tan.f64 x))
✓	39.0b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	30.9b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
✓	31.0b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	46.1b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) eps)
	44.3b	(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 1 (tan.f64 x))) -1)
	43.9b	(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) -1)
	47.0b	(+.f64 (+.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 (sin.f64 eps) (/.f64 (pow.f64 x 2) (cos.f64 eps)))))) (-.f64 1 (tan.f64 x))) -1)
	61.5b	(+.f64 (+.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 1 (.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)))))))) -1)
	45.2b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) -1)
✓	45.2b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 (tan.f64 x))) -1)
	46.7b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) (-.f64 1 x)) -1)
	45.2b	(+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) -1)
	61.4b	(+.f64 (+.f64 1 (.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))))) -1)
	33.9b	(+.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 (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))))))))
	34.0b	(+.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 (-.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)))))
	48.1b	(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
	33.3b	(+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
	48.3b	(+.f64 eps (.f64 eps (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 4) 2/3))))
	45.8b	(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
✓	61.3b	(+.f64 1 -1)
	36.5b	(*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
✓	28.0b	(*.f64 (/.f64 1 (cos.f64 eps)) (sin.f64 eps))
✓	33.8b	(.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))))
	33.9b	(.f64 (-.f64 (/.f64 (+.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) -1)) (pow.f64 (cos.f64 x) 2)) -1) (+.f64 eps (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 eps 2))))
	28.0b	(.f64 (.f64 (/.f64 1 (*.f64 (cos.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (sin.f64 eps))
	51.3b	(.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1/2 (*.f64 (cos.f64 eps) (-.f64 (/.f64 1 (pow.f64 eps 2)) 1/6))))
	36.8b	(.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1/2 (.f64 (cos.f64 eps) (.f64 (/.f64 1 (*.f64 (sin.f64 eps) (sin.f64 eps))) (cos.f64 eps)))))
	36.7b	(.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (/.f64 1/2 (.f64 (cos.f64 eps) (.f64 (neg.f64 (cos.f64 eps)) (/.f64 (/.f64 -1 (sin.f64 eps)) (sin.f64 eps))))))
	36.6b	(.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (.f64 (.f64 (sin.f64 eps) 4) (/.f64 1/2 (/.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) 1/4))))))
	36.6b	(.f64 (.f64 (cos.f64 eps) (/.f64 2 (sin.f64 eps))) (*.f64 2 (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (/.f64 1/4 (/.f64 (cos.f64 eps) (sin.f64 eps)))))))
	36.7b	(.f64 (cos.f64 eps) (/.f64 (/.f64 1 (sin.f64 eps)) (.f64 (cos.f64 eps) (/.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (sin.f64 eps)))))
	28.0b	(*.f64 (cos.f64 eps) (/.f64 (sin.f64 eps) (/.f64 (cos.f64 eps) (/.f64 1 (cos.f64 eps)))))
✓	33.3b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
	44.9b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (pow.f64 x 2))) -1))
	33.6b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 2))))) -1))
	44.6b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1))
	33.4b	(*.f64 eps (-.f64 (/.f64 (+.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) -1)) (pow.f64 (cos.f64 x) 2)) -1))
✓	48.3b	(.f64 eps (-.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45))) -1))
	33.3b	(.f64 eps (-.f64 (.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))) -1))
	41.8b	(.f64 eps (-.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) -1))
	62.5b	(.f64 eps (.f64 (pow.f64 x 6) 17/45))
	43.1b	(*.f64 1 (sin.f64 eps))
	45.1b	eps

Compiler

Compiled 1296 to 878 computations (32.3% saved)

regimes685.0ms (1.8%)

Counts

82 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

392.0ms	x
201.0ms	eps
53.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
18.2b	3	`x`
16.0b	3	`eps`
17.2b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 1886 to 998 computations (47.1% saved)

bsearch87.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	1.2979210444023877e-8	231497727754.21027
8.0ms	-0.00752677733849312	-0.006843025532970062

Results

56.0ms	51×	body	1024	valid
15.0ms	111×	body	256	valid
5.0ms	22×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 1808 to 1206 computations (33.3% saved)

regimes869.0ms (2.2%)

Counts

79 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

440.0ms	eps
121.0ms	x
119.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
18.2b	3	`x`
16.0b	3	`eps`
17.2b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 1478 to 739 computations (50% saved)

bsearch51.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	1.2979210444023877e-8	231497727754.21027
9.0ms	-0.00752677733849312	-0.006843025532970062

Results

19.0ms	110×	body	256	valid
18.0ms	52×	body	1024	valid
6.0ms	25×	body	512	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 980 to 690 computations (29.6% saved)

regimes888.0ms (2.3%)

Counts

75 → 3

Calls

Call 1

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

Outputs

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

(*.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 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

Calls

3 calls:

499.0ms	x
232.0ms	eps
135.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
18.2b	3	`x`
16.1b	3	`eps`
17.2b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 1198 to 562 computations (53.1% saved)

bsearch51.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	1.2979210444023877e-8	231497727754.21027
7.0ms	-0.00752677733849312	-0.006843025532970062

Results

19.0ms	51×	body	1024	valid
13.0ms	101×	body	256	valid
8.0ms	11×	body	2048	valid
7.0ms	29×	body	512	valid

Compiler

Compiled 452 to 318 computations (29.6% saved)

regimes397.0ms (1%)

Counts

67 → 3

Calls

Call 1

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

Calls

3 calls:

222.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
79.0ms	x
77.0ms	eps

Results

Error	Segments	Branch
18.2b	3	`x`
16.1b	3	`eps`
17.2b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 947 to 428 computations (54.8% saved)

bsearch51.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	1.2979210444023877e-8	231497727754.21027
6.0ms	-0.00752677733849312	-0.006843025532970062

Results

21.0ms	52×	body	1024	valid
15.0ms	111×	body	256	valid
6.0ms	10×	body	2048	valid
5.0ms	19×	body	512	valid

Compiler

Compiled 332 to 246 computations (25.9% saved)

regimes118.0ms (0.3%)

Counts

36 → 3

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	eps
40.0ms	x
27.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
18.3b	3	`x`
16.2b	3	`eps`
17.2b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 358 to 194 computations (45.8% saved)

bsearch46.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	1.2979210444023877e-8	231497727754.21027
9.0ms	-0.00752677733849312	-0.006843025532970062

Results

19.0ms	56×	body	1024	valid
14.0ms	110×	body	256	valid
5.0ms	19×	body	512	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 332 to 258 computations (22.3% saved)

regimes45.0ms (0.1%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	eps
13.0ms	x
10.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
28.0b	1	`x`
28.0b	1	`eps`
28.0b	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 319 to 176 computations (44.8% saved)

regimes59.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	x
15.0ms	eps

Results

Error	Segments	Branch
36.3b	9	`x`
29.0b	3	`eps`

Compiler

Compiled 69 to 47 computations (31.9% saved)

bsearch44.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	231497727754.21027	1.2693786728771479e+26
8.0ms	-0.00752677733849312	-0.006843025532970062

Results

22.0ms	60×	body	1024	valid
15.0ms	113×	body	256	valid
4.0ms	16×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 194 to 154 computations (20.6% saved)

regimes12.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
eps
(+.f64 1 -1)
(*.f64 1 (sin.f64 eps))
(.f64 17/45 (.f64 eps (pow.f64 x 6)))
(.f64 eps (.f64 17/45 (pow.f64 x 6)))
(.f64 eps (.f64 (pow.f64 x 6) 17/45))
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 (*.f64 eps (pow.f64 x 2)) eps)

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

Calls

2 calls:

5.0ms	x
5.0ms	eps

Results

Error	Segments	Branch
43.1b	1	`x`
43.1b	1	`eps`

Compiler

Compiled 51 to 36 computations (29.4% saved)

regimes6.0ms (0%)

Accuracy

Total -16.5b remaining (-36.7%)

Threshold costs -16.5b (-36.7%)

Counts

2 → 1

Calls

Call 1

Inputs
eps
(+.f64 1 -1)

Outputs
eps

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

Error	Segments	Branch
45.1b	1	`x`
45.1b	1	`eps`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	1173

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -1080863910568919/144115188075855872) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 5188146770730811/288230376151711744) (+.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 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.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 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.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 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) -1/3)) (pow.f64 eps 4))))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -8070450532247929/1152921504606846976) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 3804640965202595/1152921504606846976) (+.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 (pow.f64 eps 3) (neg.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.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 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -8070450532247929/1152921504606846976) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 5764607523034235/576460752303423488) (.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 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -8070450532247929/1152921504606846976) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 3246626956972881/147573952589676412928) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -8070450532247929/1152921504606846976) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 7673845534663173/590295810358705651712) (*.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 -8070450532247929/1152921504606846976) (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) -1) (if (<=.f64 eps 235000000000) eps (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) -1)))
(*.f64 1 (sin.f64 eps))
eps

Outputs
(if (<=.f64 eps -1080863910568919/144115188075855872) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 5188146770730811/288230376151711744) (+.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 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.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 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.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 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) -1/3)) (pow.f64 eps 4))))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -8070450532247929/1152921504606846976) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 3804640965202595/1152921504606846976) (+.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 (pow.f64 eps 3) (neg.f64 (+.f64 1/6 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.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 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -8070450532247929/1152921504606846976) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 5764607523034235/576460752303423488) (.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 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -8070450532247929/1152921504606846976) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 3246626956972881/147573952589676412928) (+.f64 eps (*.f64 eps (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(if (<=.f64 eps -8070450532247929/1152921504606846976) (/.f64 (sin.f64 eps) (cos.f64 eps)) (if (<=.f64 eps 7673845534663173/590295810358705651712) (*.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 -8070450532247929/1152921504606846976) (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) -1) (if (<=.f64 eps 235000000000) eps (+.f64 (+.f64 (tan.f64 (+.f64 x eps)) 1) -1)))
(*.f64 1 (sin.f64 eps))
eps

Compiler

Compiled 410 to 264 computations (35.6% saved)

soundness148.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1646×	`rational.json-simplify-35`
928×	`rational.json-simplify-41`
852×	`rational.json-simplify-2`
786×	`rational.json-simplify-26`
760×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	5164
1	524	4868
2	1131	4532
3	2401	4244
4	4634	4244
5	5423	4244
6	6800	4244
7	7661	4244

Stop Event

1×	node limit

Compiler

Compiled 215 to 149 computations (30.7% saved)

end139.0ms (0.4%)

Compiler: Compiled 394 to 214 computations (45.7% saved)