Details

analyze637.0ms (1.4%)

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)

sample4.6s (10.3%)

Results

1.8s	3570×	body	1024	valid
1.6s	1303×	body	2048	valid
687.0ms	1406×	body	512	valid
535.0ms	1976×	body	256	valid
1.0ms	1×	body	4096	valid

Bogosity

preprocess2.5s (5.5%)

Algorithm

2×	egg-herbie

Rules

8600×	`rational.json-simplify-41`
5414×	`rational.json-simplify-1`
1134×	`trig.json-simplify-21`

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)

simplify2.4s (5.3%)

Algorithm

1×	egg-herbie

Rules

9558×	`rational.json-simplify-41`
4590×	`rational.json-simplify-1`
760×	`trig.json-simplify-21`

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))

eval1.0ms (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

34.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.5b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize17.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	3.6b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 20 to 6 computations (70% saved)

series19.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(tan.f64 (+.f64 x eps))
2.0ms	x	@	inf	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	x	@	0	(tan.f64 (+.f64 x eps))
2.0ms	eps	@	0	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
2.0ms	eps	@	inf	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

rewrite136.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1026×	`rational.json-simplify-80`
1026×	`rational.json-simplify-79`
916×	`rational.json-simplify-2`
568×	`rational.json-simplify-47`
544×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	81	32
2	300	32
3	1086	32
4	4150	32

Stop Event

1×	node limit

Counts

2 → 42

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

Outputs

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

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

simplify397.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational.json-simplify-54`
1164×	`rational.json-simplify-50`
974×	`rational.json-simplify-1`
612×	`rational.json-simplify-47`
602×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	4658
1	449	4498
2	1159	4498
3	3481	4360

Stop Event

1×	node limit

Counts

90 → 109

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))
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(+.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)))
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(-.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)))))
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(+.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 (tan.f64 (+.f64 x eps)) 0)
(-.f64 0 (tan.f64 (-.f64 (neg.f64 eps) x)))
(-.f64 (-.f64 0 (-.f64 -1 (tan.f64 (+.f64 x eps)))) 1)
(*.f64 (tan.f64 (+.f64 x eps)) 1)
(*.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))
(*.f64 1 (tan.f64 (+.f64 x eps)))
(*.f64 (/.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps)))
(.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (/.f64 1 (tan.f64 (+.f64 x eps))))
(.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (/.f64 (/.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps))))
(.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))
(.f64 (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (/.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))))
(.f64 (/.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))))
(.f64 (.f64 (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))) (/.f64 (/.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))))
(/.f64 (tan.f64 (+.f64 x eps)) 1)
(/.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(neg.f64 (tan.f64 (-.f64 (neg.f64 eps) x)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0)
(+.f64 0 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) -1)))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) -1)) 1)
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1)
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (/.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (/.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(*.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (-.f64 -1 (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) -1))))
(.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(*.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(.f64 (.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(/.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -1)
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))

Outputs
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (-.f64 1 (.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) x))
(+.f64 (/.f64 (.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))))
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(-.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 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 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 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 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (tan.f64 (+.f64 x eps)) 0)
(tan.f64 (+.f64 eps x))
(+.f64 0 (tan.f64 (+.f64 x eps)))
(tan.f64 (+.f64 eps x))
(-.f64 (tan.f64 (+.f64 x eps)) 0)
(tan.f64 (+.f64 eps x))
(-.f64 0 (tan.f64 (-.f64 (neg.f64 eps) x)))
(tan.f64 (+.f64 eps x))
(-.f64 (-.f64 0 (-.f64 -1 (tan.f64 (+.f64 x eps)))) 1)
(tan.f64 (+.f64 eps x))
(*.f64 (tan.f64 (+.f64 x eps)) 1)
(tan.f64 (+.f64 eps x))
(*.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(*.f64 1 (tan.f64 (+.f64 x eps)))
(tan.f64 (+.f64 eps x))
(*.f64 (/.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps)))
(tan.f64 (+.f64 eps x))
(.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (/.f64 1 (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (/.f64 (/.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(.f64 (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (/.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))))
(tan.f64 (+.f64 eps x))
(.f64 (/.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))))
(tan.f64 (+.f64 eps x))
(.f64 (.f64 (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))) (/.f64 (/.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))))
(tan.f64 (+.f64 eps x))
(/.f64 (tan.f64 (+.f64 x eps)) 1)
(tan.f64 (+.f64 eps x))
(/.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))
(tan.f64 (+.f64 eps x))
(pow.f64 (tan.f64 (+.f64 x eps)) 1)
(tan.f64 (+.f64 eps x))
(neg.f64 (tan.f64 (-.f64 (neg.f64 eps) x)))
(tan.f64 (+.f64 eps x))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 0)
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(+.f64 0 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(+.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) -1)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) -1)) 1)
(-.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)) (tan.f64 x))
(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(*.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(*.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (tan.f64 (+.f64 x eps)) (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)) (tan.f64 x))
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (/.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (/.f64 -1 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(*.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (-.f64 -1 (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) -1))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (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)) (tan.f64 x))
(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(.f64 (.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (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)) (tan.f64 x))
(/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (/.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (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)) (tan.f64 x))
(pow.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) 1)
(-.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)) (tan.f64 x))

eval343.0ms (0.8%)

Compiler: Compiled 5136 to 2760 computations (46.3% saved)

prune90.0ms (0.2%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	89	20	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	21	110

Error

13.2b

Counts

110 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	34.6b	(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))
	61.2b	(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x))
	35.3b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
	43.4b	(-.f64 (-.f64 (-.f64 0 (-.f64 -1 (tan.f64 (+.f64 x eps)))) 1) (tan.f64 x))
	52.2b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.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 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))))))))) (tan.f64 x))
▶	51.9b	(-.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))
	39.7b	(-.f64 (.f64 (/.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (*.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))) (tan.f64 x))
	37.1b	(-.f64 (.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
	41.5b	(-.f64 (.f64 (.f64 (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))) (/.f64 (/.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))))) (tan.f64 x))
✓	34.5b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	28.8b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	32.7b	(+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.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 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))))))))
	30.7b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps))))
▶	43.3b	(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) -1)) 1)
	30.9b	(+.f64 (+.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 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps)) (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1)) (pow.f64 (cos.f64 eps) 2))) (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) -1/2) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) 1/2))) (neg.f64 (pow.f64 x 3)))))
	32.7b	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))
	32.7b	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.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 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))))) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))))) (cos.f64 x)) (.f64 (/.f64 (.f64 (sin.f64 x) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x)) -1/3)) (neg.f64 (pow.f64 eps 4))))))
▶	40.9b	(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
	38.6b	(.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	42.8b	(.f64 (.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))))
▶	32.3b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))

Compiler

Compiled 2043 to 1042 computations (49% saved)

localize38.0ms (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)
✓	3.9b	(*.f64 (pow.f64 (sin.f64 eps) 2) x)

Compiler

Compiled 56 to 26 computations (53.6% saved)

series15.0ms (0%)

Counts

4 → 44

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	-inf	(*.f64 (pow.f64 (sin.f64 eps) 2) x)
2.0ms	x	@	0	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))
2.0ms	x	@	0	(*.f64 (pow.f64 (sin.f64 eps) 2) x)
1.0ms	eps	@	0	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))
1.0ms	x	@	inf	(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))

rewrite192.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`rational.json-simplify-44`
898×	`rational.json-5`
896×	`exponential.json-3`
896×	`rational.json-1`
896×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	72
1	107	72
2	381	72
3	1559	72
4	7163	72

Stop Event

1×	node limit

Counts

4 → 53

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

simplify204.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1182×	`rational.json-simplify-2`
1136×	`rational.json-simplify-47`
650×	`rational.json-simplify-54`
638×	`rational.json-simplify-50`
562×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	169	2647
1	374	2549
2	821	2477
3	2365	2411
4	7002	2363

Stop Event

1×	node limit

Counts

97 → 116

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 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 0)
(-.f64 0 (neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1)
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1)
(neg.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 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 (pow.f64 (cos.f64 eps) 2) 1)
(*.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 0) 2))
(*.f64 1 (pow.f64 (cos.f64 eps) 2))
(.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 eps)) 2) (/.f64 1 (pow.f64 (cos.f64 eps) 2)))
(.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 eps)) 2) (*.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1))
(.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 eps)) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 2))
(.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 eps)) 2))
(.f64 (pow.f64 (.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (cos.f64 eps)))) 2) (/.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) 2)))
(*.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (cos.f64 eps) 2) 1)
(/.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(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 (pow.f64 (sin.f64 eps) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) 1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(*.f64 1 (pow.f64 (sin.f64 eps) 2))
(.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) 2) (/.f64 1 (pow.f64 (sin.f64 eps) 2)))
(.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) 2) (*.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1))
(.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 2))
(.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) 2))
(.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps)))) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) 2)))
(/.f64 (pow.f64 (sin.f64 eps) 2) 1)
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) 0)
(+.f64 0 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) 1)
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(.f64 1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (/.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) 1))
(.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(.f64 (.f64 (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))))
(pow.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) 1)
(neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))

Outputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (*.f64 (pow.f64 eps 2) x))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 -1/3 (*.f64 x (pow.f64 eps 4))))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 x (*.f64 -1/3 (pow.f64 eps 4))))
(.f64 x (+.f64 (pow.f64 eps 2) (.f64 -1/3 (pow.f64 eps 4))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) x)) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (.f64 -1/3 (.f64 x (pow.f64 eps 4))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 2/45 (*.f64 x (pow.f64 eps 6)))))
(+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 x (.f64 2/45 (pow.f64 eps 6))) (.f64 x (*.f64 -1/3 (pow.f64 eps 4)))))
(+.f64 (.f64 x (.f64 -1/3 (pow.f64 eps 4))) (.f64 x (+.f64 (pow.f64 eps 2) (.f64 2/45 (pow.f64 eps 6)))))
(.f64 x (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (+.f64 (pow.f64 eps 2) (*.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 eps 4) x)) (+.f64 (.f64 2/45 (.f64 (pow.f64 eps 6) x)) (+.f64 (.f64 -1/315 (.f64 (pow.f64 eps 8) x)) (*.f64 (pow.f64 eps 2) x))))
(+.f64 (.f64 -1/3 (.f64 x (pow.f64 eps 4))) (+.f64 (.f64 2/45 (.f64 x (pow.f64 eps 6))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 -1/315 (*.f64 x (pow.f64 eps 8))))))
(+.f64 (.f64 x (.f64 -1/3 (pow.f64 eps 4))) (+.f64 (.f64 (pow.f64 eps 2) x) (+.f64 (.f64 x (.f64 -1/315 (pow.f64 eps 8))) (.f64 x (*.f64 2/45 (pow.f64 eps 6))))))
(+.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 (.f64 x (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (+.f64 (pow.f64 eps 2) (.f64 2/45 (pow.f64 eps 6))))) (.f64 (pow.f64 eps 8) (*.f64 x -1/315)))
(*.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 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 1 (+.f64 (neg.f64 (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 4) 1/3) (.f64 (pow.f64 eps 6) -2/45))))
(+.f64 (neg.f64 (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 4) 1/3) (+.f64 (.f64 (pow.f64 eps 6) -2/45) 1)))
(+.f64 (-.f64 1 (pow.f64 eps 2)) (+.f64 (.f64 (pow.f64 eps 4) 1/3) (.f64 (pow.f64 eps 6) -2/45)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/3 (pow.f64 eps 4)) (.f64 2/45 (pow.f64 eps 6))))
(+.f64 (.f64 -1/3 (pow.f64 eps 4)) (+.f64 (.f64 2/45 (pow.f64 eps 6)) (pow.f64 eps 2)))
(+.f64 (.f64 -1/3 (pow.f64 eps 4)) (+.f64 (pow.f64 eps 2) (.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) (+.f64 (.f64 2/45 (pow.f64 eps 6)) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (*.f64 -1/3 (pow.f64 eps 4)))))
(+.f64 (.f64 -1/3 (pow.f64 eps 4)) (+.f64 (.f64 -1/315 (pow.f64 eps 8)) (+.f64 (pow.f64 eps 2) (*.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 2) x) (.f64 (pow.f64 eps 4) (-.f64 (.f64 x -1/3) (.f64 x -1))))
(+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 4) (*.f64 x 2/3)))
(.f64 x (+.f64 (pow.f64 eps 2) (.f64 (pow.f64 eps 4) 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 (pow.f64 eps 4) (-.f64 (.f64 x -1/3) (.f64 x -1))) (+.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) (.f64 x -1))) (.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 (pow.f64 eps 4) (.f64 x 2/3)) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 6) (-.f64 (.f64 x -13/45) (.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 -1/3))))
(+.f64 (.f64 x (+.f64 (pow.f64 eps 2) (.f64 (pow.f64 eps 4) 2/3))) (.f64 (pow.f64 eps 6) (.f64 x 17/45)))
(+.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 8) (-.f64 (-.f64 (.f64 x -1/315) (.f64 1/3 (-.f64 (.f64 x -1/3) (.f64 x -1)))) (+.f64 (.f64 -1 (-.f64 (.f64 x 2/45) (+.f64 (.f64 -1 (-.f64 (.f64 x -1/3) (.f64 x -1))) (.f64 x 1/3)))) (.f64 x -2/45)))) (+.f64 (.f64 (pow.f64 eps 4) (-.f64 (.f64 x -1/3) (.f64 x -1))) (+.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) (.f64 x -1))) (.f64 x 1/3)))))))
(+.f64 (.f64 (pow.f64 eps 4) (.f64 x 2/3)) (+.f64 (+.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 (pow.f64 eps 8) (-.f64 (-.f64 (-.f64 (.f64 x -1/315) (.f64 1/3 (.f64 x 2/3))) (.f64 x -2/45)) (neg.f64 (-.f64 (.f64 x 2/45) (+.f64 (neg.f64 (.f64 x 2/3)) (*.f64 x 1/3))))))))
(+.f64 (.f64 (pow.f64 eps 4) (.f64 x 2/3)) (+.f64 (.f64 (pow.f64 eps 8) (-.f64 (-.f64 (.f64 x -1/315) (neg.f64 (-.f64 (.f64 x -13/45) (.f64 x -2/3)))) (+.f64 (.f64 x 2/9) (.f64 x -2/45)))) (+.f64 (.f64 (pow.f64 eps 2) x) (.f64 (pow.f64 eps 6) (-.f64 (.f64 x -13/45) (.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 -1/3))) (.f64 (pow.f64 eps 8) (-.f64 (-.f64 (.f64 x -1/315) (neg.f64 (-.f64 (.f64 x 2/45) (.f64 x -1/3)))) (.f64 x 8/45)))))
(+.f64 (.f64 x (+.f64 (pow.f64 eps 2) (.f64 (pow.f64 eps 4) 2/3))) (+.f64 (.f64 (pow.f64 eps 6) (.f64 x 17/45)) (.f64 (pow.f64 eps 8) (-.f64 (.f64 x 17/45) (neg.f64 (*.f64 x -19/105))))))
(/.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 x (pow.f64 (sin.f64 eps) 2))
(+.f64 0 (*.f64 (pow.f64 (sin.f64 eps) 2) x))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 0)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(-.f64 0 (neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1)
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(neg.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(*.f64 x (pow.f64 (sin.f64 eps) 2))
(+.f64 (pow.f64 (cos.f64 eps) 2) 0)
(pow.f64 (cos.f64 eps) 2)
(+.f64 0 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (cos.f64 eps) 2)
(-.f64 (pow.f64 (cos.f64 eps) 2) 0)
(pow.f64 (cos.f64 eps) 2)
(-.f64 0 (neg.f64 (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (cos.f64 eps) 2)
(*.f64 (pow.f64 (cos.f64 eps) 2) 1)
(pow.f64 (cos.f64 eps) 2)
(*.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (cos.f64 eps) 2)
(*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 0) 2))
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 0)) 2)
(*.f64 1 (pow.f64 (cos.f64 eps) 2))
(pow.f64 (cos.f64 eps) 2)
(.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 eps)) 2) (/.f64 1 (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (cos.f64 eps) 2)
(.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 eps)) 2) (*.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1))
(pow.f64 (cos.f64 eps) 2)
(.f64 (pow.f64 (.f64 (cos.f64 eps) (cos.f64 eps)) 2) (pow.f64 (/.f64 1 (cos.f64 eps)) 2))
(pow.f64 (.f64 (.f64 (cos.f64 eps) (cos.f64 eps)) (/.f64 1 (cos.f64 eps))) 2)
(pow.f64 (*.f64 (cos.f64 eps) (/.f64 (cos.f64 eps) (cos.f64 eps))) 2)
(.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) (pow.f64 (.f64 (cos.f64 eps) (cos.f64 eps)) 2))
(pow.f64 (cos.f64 eps) 2)
(.f64 (pow.f64 (.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (.f64 (cos.f64 eps) (cos.f64 eps)))) 2) (/.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) 2)))
(pow.f64 (cos.f64 eps) 2)
(*.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (cos.f64 eps) 2))
(pow.f64 (*.f64 (cos.f64 eps) (cos.f64 0)) 2)
(/.f64 (pow.f64 (cos.f64 eps) 2) 1)
(pow.f64 (cos.f64 eps) 2)
(/.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (cos.f64 eps) 2)
(neg.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)))
(pow.f64 (cos.f64 eps) 2)
(+.f64 (pow.f64 (sin.f64 eps) 2) 0)
(pow.f64 (sin.f64 eps) 2)
(+.f64 0 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(-.f64 (pow.f64 (sin.f64 eps) 2) 0)
(pow.f64 (sin.f64 eps) 2)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(pow.f64 (sin.f64 eps) 2)
(*.f64 (pow.f64 (sin.f64 eps) 2) 1)
(pow.f64 (sin.f64 eps) 2)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(pow.f64 (sin.f64 eps) 2)
(*.f64 1 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (sin.f64 eps) 2)
(.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) 2) (/.f64 1 (pow.f64 (sin.f64 eps) 2)))
(pow.f64 (sin.f64 eps) 2)
(.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) 2) (*.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1))
(pow.f64 (sin.f64 eps) 2)
(.f64 (pow.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 2))
(pow.f64 (.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) (/.f64 1 (sin.f64 eps))) 2)
(pow.f64 (*.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (sin.f64 eps))) 2)
(.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (.f64 (sin.f64 eps) (sin.f64 eps)) 2))
(pow.f64 (sin.f64 eps) 2)
(.f64 (pow.f64 (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (.f64 (sin.f64 eps) (sin.f64 eps)))) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 eps)) 2)))
(pow.f64 (sin.f64 eps) 2)
(/.f64 (pow.f64 (sin.f64 eps) 2) 1)
(pow.f64 (sin.f64 eps) 2)
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))
(pow.f64 (sin.f64 eps) 2)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) 0)
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(+.f64 0 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) 0)
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(-.f64 0 (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) 1)
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(.f64 1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (/.f64 1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) 1))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(.f64 (.f64 (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))) (/.f64 (/.f64 1 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))) (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(pow.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) 1)
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))
(neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (tan.f64 x) -1)
✓	0.3b	(-.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) -1))
	3.6b	(tan.f64 (+.f64 x eps))
✓	4.2b	(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (-.f64 (tan.f64 x) -1)) 1)

Compiler

Compiled 39 to 17 computations (56.4% saved)

series4.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite161.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`rational.json-simplify-47`
714×	`rational.json-simplify-1`
686×	`rational.json-simplify-54`
636×	`rational.json-5`
634×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	115	71
2	380	59
3	1388	59
4	5224	59

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

Outputs

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

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

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

simplify183.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1434×	`rational.json-simplify-54`
1404×	`rational.json-simplify-49`
1054×	`rational.json-simplify-1`
940×	`rational.json-simplify-50`
930×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	270	6401
1	610	6183
2	1417	6183
3	4174	6109

Stop Event

1×	node limit

Counts

141 → 169

Calls

Call 1

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

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 (*.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))))
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(.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))))
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(pow.f64 (+.f64 (tan.f64 x) 1) 1)
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(neg.f64 (-.f64 -1 (tan.f64 x)))
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localize21.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 30 computations (41.2% saved)

series10.0ms (0%)

Counts

4 → 36

Calls

15 calls:

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

rewrite137.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`rational.json-5`
946×	`exponential.json-3`
946×	`rational.json-1`
946×	`rational.json-2`
946×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	123	88
2	418	88
3	1672	88
4	7580	88

Stop Event

1×	node limit

Counts

4 → 45

Calls

Call 1

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

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

simplify232.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1218×	`rational.json-simplify-44`
1024×	`rational.json-simplify-1`
916×	`rational.json-simplify-50`
712×	`rational.json-simplify-2`
624×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2153
1	308	2141
2	720	2135
3	1923	2117
4	4933	2117

Stop Event

1×	node limit

Counts

81 → 100

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)))))
(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 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))))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1))
(.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 2))
(.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2))
(.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(+.f64 (pow.f64 (cos.f64 x) 2) 0)
(+.f64 0 (pow.f64 (cos.f64 x) 2))
(-.f64 (pow.f64 (cos.f64 x) 2) 0)
(*.f64 (pow.f64 (cos.f64 x) 2) 1)
(*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 0) 2))
(*.f64 1 (pow.f64 (cos.f64 x) 2))
(.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))
(.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2) (*.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1))
(.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2) (pow.f64 (/.f64 1 (cos.f64 x)) 2))
(.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (.f64 (cos.f64 x) (cos.f64 x)) 2))
(.f64 (pow.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x)))) 2) (/.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2)))
(*.f64 (pow.f64 (cos.f64 0) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (cos.f64 x) 2) 1)
(/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (cos.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 0 (/.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 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(*.f64 (/.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)) (/.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 (.f64 (/.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 1 (/.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)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))
(.f64 (/.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)) (/.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)) (.f64 (/.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)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (/.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)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(+.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 0)
(+.f64 0 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))
(-.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 0)
(/.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 1)
(/.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (/.f64 (.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))))
(pow.f64 (*.f64 eps (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) 1)

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

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sin.f64 x) (cos.f64 x))
	0.2b	(pow.f64 (cos.f64 x) 2)
	0.2b	(pow.f64 (sin.f64 x) 2)
✓	5.7b	(-.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (tan.f64 x))

Compiler

Compiled 99 to 51 computations (48.5% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite220.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`rational.json-5`
1164×	`exponential.json-3`
1164×	`rational.json-1`
1164×	`rational.json-2`
1164×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	84
1	158	84
2	536	84
3	2124	84

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

Outputs

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

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

simplify171.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1606×	`rational.json-simplify-111`
968×	`rational.json-simplify-55`
840×	`rational.json-simplify-47`
724×	`rational.json-simplify-104`
582×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	2291
1	196	2285
2	365	2279
3	1075	2273
4	4413	2273

Stop Event

1×	node limit

Counts

55 → 57

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
	0.9b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	3.6b	(tan.f64 (+.f64 x eps))
✓	5.7b	(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))

Compiler

Compiled 158 to 18 computations (88.6% saved)

series12.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
2.0ms	x	@	0	(.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
1.0ms	x	@	inf	(.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
1.0ms	x	@	-inf	(.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))
1.0ms	eps	@	-inf	(.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))

rewrite219.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`rational.json-simplify-55`
798×	`rational.json-5`
796×	`exponential.json-3`
796×	`rational.json-1`
796×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	282
1	135	230
2	466	120
3	1768	120
4	7936	120

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs

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

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

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

simplify655.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1068×	`rational.json-simplify-111`
1026×	`rational.json-simplify-1`
1002×	`rational.json-simplify-2`
990×	`rational.json-simplify-42`
942×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	355	13520
1	749	13082
2	1374	13082
3	3357	12840
4	6988	12840

Stop Event

1×	node limit

Counts

120 → 161

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

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 (*.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 (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 (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) (cos.f64 eps)) (+.f64 (/.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps))))
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(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (-.f64 0 (fabs.f64 (/.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))))
(.f64 (.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))
(.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (*.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (*.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))

eval4.2s (9.4%)

Compiler: Compiled 107768 to 40082 computations (62.8% saved)

prune1.6s (3.4%)

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	1442	33	1475
Fresh	9	6	15
Picked	1	0	1
Done	2	3	5
Total	1454	42	1496

Error

12.7b

Counts

1496 → 42

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.3b	(/.f64 (sin.f64 eps) (cos.f64 eps))
▶	35.3b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
	43.3b	(-.f64 (-.f64 (tan.f64 (+.f64 x eps)) 2) (-.f64 (+.f64 (tan.f64 x) -1) 1))
	37.1b	(-.f64 (.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
	41.5b	(-.f64 (.f64 (.f64 (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))) (/.f64 (/.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))))) (tan.f64 x))
✓	34.5b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	43.3b	(-.f64 2 (-.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))) -2))
	43.2b	(-.f64 -1 (-.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) 1)))
✓	28.8b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	27.4b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (-.f64 1 (pow.f64 eps 2))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	36.9b	(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 (-.f64 1 (pow.f64 eps 2)) (.f64 (pow.f64 eps 4) 1/3))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	28.9b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	32.7b	(+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.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 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))))))))
	30.7b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps))))
	30.9b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) -1/2) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (+.f64 1/2 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1)) (pow.f64 (cos.f64 eps) 2)))))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1))) (cos.f64 eps)))))
	42.8b	(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (tan.f64 x) -1)) 1)
	42.4b	(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 1)
	44.9b	(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 x 1)) 1)
	43.2b	(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) 1)
	43.5b	(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) 1) 1)
	44.2b	(+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)) 1)
	44.7b	(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (+.f64 -1 (/.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)))) 1)
	60.7b	(+.f64 (+.f64 (.f64 (pow.f64 eps 3) (-.f64 -1/6 (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 -1 (/.f64 (.f64 (sin.f64 x) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2))) (cos.f64 x))))) 1)
	60.3b	(+.f64 (+.f64 -1 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 1)
▶	43.4b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	47.5b	(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
	32.7b	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))
	32.7b	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))) (cos.f64 x)) (.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 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))))))) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (+.f64 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (cos.f64 x)) (.f64 (/.f64 (.f64 (sin.f64 x) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x)) -1/3)) (neg.f64 (pow.f64 eps 4)))))
▶	61.3b	(+.f64 -1 1)
	40.9b	(.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
	42.8b	(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 (.f64 (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))))) (/.f64 (/.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (.f64 (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))))) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
	40.9b	(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
	41.0b	(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) 4))
	41.4b	(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))
	58.7b	(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))))))
✓	32.3b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
	32.3b	(.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2) (pow.f64 (/.f64 1 (cos.f64 x)) 2))) -1))
	32.3b	(.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))) -1))
	43.9b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1))
	45.8b	(.f64 eps (-.f64 (/.f64 (.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2))) (pow.f64 (cos.f64 x) 2)) -1))
▶	41.1b	(.f64 eps (-.f64 (/.f64 (.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 2)) (pow.f64 (cos.f64 x) 2)) -1))
	44.5b	eps

Compiler

Compiled 3160 to 1742 computations (44.9% saved)

localize9.0ms (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))

rewrite112.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`rational.json-simplify-44`
954×	`rational.json-simplify-2`
710×	`rational.json-5`
708×	`exponential.json-3`
708×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	68	15
2	278	15
3	1166	15
4	5509	15

Stop Event

1×	node limit

Counts

1 → 17

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

simplify137.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1502×	`rational.json-simplify-111`
1030×	`rational.json-simplify-47`
798×	`rational.json-simplify-2`
702×	`rational.json-simplify-55`
616×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	367
1	117	367
2	237	367
3	1031	367
4	4766	367

Stop Event

1×	node limit

Counts

21 → 26

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 0 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(.f64 (.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(neg.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))

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

localize4.0ms (0%)

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

localize15.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
	0.2b	(/.f64 (sin.f64 eps) (cos.f64 eps))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite125.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`rational.json-simplify-44`
872×	`rational.json-5`
870×	`exponential.json-3`
870×	`rational.json-1`
870×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	94	25
2	370	25
3	1511	25
4	6828	25

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify176.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1290×	`rational.json-simplify-47`
1092×	`rational.json-simplify-49`
904×	`rational.json-simplify-2`
902×	`exponential.json-simplify-26`
784×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	1291
1	141	1277
2	331	1277
3	1336	1277
4	5254	1277

Stop Event

1×	node limit

Counts

41 → 44

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 0)
(+.f64 0 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (tan.f64 x) -1)))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (tan.f64 x) -1)) 1)
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(*.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 1))
(.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(.f64 (.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))) (/.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))))
(/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(neg.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))

Outputs
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 eps (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) eps)
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 eps (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 1/3 (pow.f64 eps 3))))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 1/3 (pow.f64 eps 3)) eps))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5))) eps))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+.f64 (*.f64 -1 x) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (.f64 -1 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 -1/3 (pow.f64 x 3))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (neg.f64 x) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 -2/15 (pow.f64 x 5)))))
(+.f64 (neg.f64 x) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 -2/15 (pow.f64 x 5)) (.f64 -1/3 (pow.f64 x 3)))))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5))) (neg.f64 x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (neg.f64 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -2/15 (pow.f64 x 5)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 0)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 0 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (tan.f64 x) -1)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (tan.f64 x) -1)) 1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(*.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) 1))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(.f64 (.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))) (/.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (*.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(/.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))) -1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) 1)
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 x) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 x) (sin.f64 x))
✓	0.3b	(pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)
✓	0.3b	(pow.f64 (/.f64 1 (sin.f64 x)) 2)
✓	24.7b	(.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 2))

Compiler

Compiled 114 to 60 computations (47.4% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite152.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`rational.json-simplify-1`
688×	`rational.json-5`
686×	`exponential.json-3`
686×	`rational.json-1`
686×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	90
1	110	64
2	387	64
3	1397	64
4	6528	64

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (sin.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 1 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (/.f64 1 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) 2) (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) 2) (.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 x)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) 2) (pow.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 x)) 2)) (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))) 2) (/.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 x)) 2)) (pow.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2)))))))
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simplify237.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1510×	`rational.json-simplify-47`
1136×	`rational.json-simplify-111`
930×	`rational.json-simplify-2`
916×	`rational.json-simplify-1`
656×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	283	3117
1	585	3117
2	1187	3117
3	2482	3107
4	7424	3107

Stop Event

1×	node limit

Counts

163 → 160

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))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(/.f64 1 (pow.f64 x 2))
(+.f64 1/3 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/15 (pow.f64 x 2))))
(+.f64 1/3 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 2/189 (pow.f64 x 4)) (.f64 1/15 (pow.f64 x 2)))))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(/.f64 1 (pow.f64 (sin.f64 x) 2))
(pow.f64 x 4)
(+.f64 (*.f64 -2/3 (pow.f64 x 6)) (pow.f64 x 4))
(+.f64 (.f64 -2/3 (pow.f64 x 6)) (+.f64 (.f64 1/5 (pow.f64 x 8)) (pow.f64 x 4)))
(+.f64 (.f64 -2/3 (pow.f64 x 6)) (+.f64 (.f64 -34/945 (pow.f64 x 10)) (+.f64 (*.f64 1/5 (pow.f64 x 8)) (pow.f64 x 4))))
(pow.f64 (sin.f64 x) 4)
(pow.f64 (sin.f64 x) 4)
(pow.f64 (sin.f64 x) 4)
(pow.f64 (sin.f64 x) 4)
(pow.f64 (sin.f64 x) 4)
(pow.f64 (sin.f64 x) 4)
(pow.f64 (sin.f64 x) 4)
(pow.f64 (sin.f64 x) 4)
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1)
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) 0)
(+.f64 0 (pow.f64 (/.f64 1 (sin.f64 x)) 2))
(-.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2)))
(*.f64 1 (pow.f64 (/.f64 1 (sin.f64 x)) 2))
(*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) 1)
(*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 2)))
(.f64 (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) 2) (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 x)) 2)))
(.f64 (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) 2) (*.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 x)) 2)) 1))
(.f64 (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) 2) (pow.f64 (/.f64 1 (/.f64 1 (sin.f64 x))) 2))
(.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 x)) 2)) (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) 2))
(.f64 (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))))) 2) (/.f64 (/.f64 1 (pow.f64 (/.f64 1 (sin.f64 x)) 2)) (pow.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sin.f64 x))) 2)))
(/.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) 1)
(/.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 2)))
(neg.f64 (neg.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2)))
(+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) 0)
(+.f64 0 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2))
(-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))
(.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) 1)
(.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) 2))
(.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (fabs.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) 2)))
(.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (fabs.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 x)) 2))
(.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2) (.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(.f64 1 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2))
(.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) (pow.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x))) 2))
(.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) (.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x))) 2) 1))
(*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))
(.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2))
(.f64 (pow.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (fabs.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2)) (.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (fabs.f64 (pow.f64 (sin.f64 x) 2))))
(.f64 (fabs.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2)) (fabs.f64 (pow.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x))) 2)))
(*.f64 (fabs.f64 (pow.f64 (sin.f64 x) 2)) (fabs.f64 (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2) (/.f64 1 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))
(.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2) (.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2)) 1))
(.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2) (.f64 (/.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (sin.f64 x) 2)))
(.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))
(.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2) (/.f64 (pow.f64 (.f64 (sin.f64 x) (/.f64 1 (sin.f64 x))) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2)))
(.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2) (fabs.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2))))
(.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2) (pow.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 2))
(.f64 (pow.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x))) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 2))
(.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 x)))) 2))
(.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))))) 2) (/.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2)))
(*.f64 (pow.f64 (fabs.f64 (sin.f64 x)) 2) (pow.f64 (fabs.f64 (sin.f64 x)) 2))
(*.f64 (fabs.f64 (pow.f64 (fabs.f64 (sin.f64 x)) 2)) (fabs.f64 (pow.f64 (fabs.f64 (sin.f64 x)) 2)))
(/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) 1)
(/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(neg.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))
(fabs.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)))
(fabs.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (fabs.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(fabs.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(fabs.f64 (*.f64 (fabs.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(fabs.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(fabs.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (pow.f64 (sin.f64 x) 2))))
(fabs.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (fabs.f64 (pow.f64 (sin.f64 x) 2))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(fabs.f64 (*.f64 (fabs.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(fabs.f64 (*.f64 (fabs.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (sin.f64 x) 2)))
(fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (fabs.f64 (pow.f64 (sin.f64 x) 2))))
(fabs.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (fabs.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(fabs.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 2)) (fabs.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(+.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)
(-.f64 0 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2)
(pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)
(neg.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(fabs.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 x)))))
(fabs.f64 (*.f64 (sin.f64 x) (fabs.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x)))
(fabs.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(fabs.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))) (sin.f64 x)))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))) (fabs.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (sin.f64 x))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (sin.f64 x) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))
(fabs.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))))))
(fabs.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))))))
(fabs.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (fabs.f64 (sin.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (fabs.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x)))))))
(fabs.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (fabs.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))))
(fabs.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (.f64 (sin.f64 x) 2) (*.f64 (fabs.f64 (sin.f64 x)) 2))))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))) (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x)))))
(fabs.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (neg.f64 (fabs.f64 (/.f64 (sin.f64 x) (sin.f64 x))))))

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

localize304.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
✓	0.3b	(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))
✓	3.2b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	3.6b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 300 to 122 computations (59.3% saved)

series8.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite241.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`rational.json-simplify-55`
902×	`rational.json-5`
900×	`exponential.json-3`
900×	`rational.json-1`
900×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	317
1	160	317
2	535	119
3	2024	107

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs

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

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

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

Outputs

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

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(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (fabs.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (/.f64 (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (fabs.f64 (/.f64 (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (/.f64 (-.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (fabs.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (/.f64 (*.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1))) (*.f64 (-.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) 2) (*.f64 (fabs.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1))) (fabs.f64 (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (/.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (fabs.f64 (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)))) (fabs.f64 (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)))))))))

simplify634.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1348×	`rational.json-simplify-2`
1218×	`rational.json-simplify-1`
936×	`rational.json-simplify-47`
856×	`rational.json-simplify-41`
796×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	396	12350
1	916	11692
2	2300	11680
3	6107	11480

Stop Event

1×	node limit

Counts

180 → 235

Calls

Call 1

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

eval4.2s (9.3%)

Compiler: Compiled 148983 to 67475 computations (54.7% saved)

prune1.7s (3.8%)

Pruning

46 alts after pruning (41 fresh and 5 done)

	Pruned	Kept	Total
New	1518	19	1537
Fresh	12	22	34
Picked	1	0	1
Done	2	5	7
Total	1533	46	1579

Error

12.2b

Counts

1579 → 46

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.3b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	42.5b	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)
	37.1b	(-.f64 (.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
✓	34.5b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
✓	28.8b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
▶	28.9b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	32.7b	(+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.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 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))))))))
	30.7b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps))))
	30.9b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) -1/2) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (+.f64 1/2 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1)) (pow.f64 (cos.f64 eps) 2)))))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1))) (cos.f64 eps)))))
	42.4b	(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 1)
	44.9b	(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 x 1)) 1)
	43.5b	(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) 1) 1)
	44.2b	(+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)) 1)
	44.7b	(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (+.f64 -1 (/.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)))) 1)
	60.7b	(+.f64 (+.f64 (.f64 (pow.f64 eps 3) (-.f64 -1/6 (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 -1 (/.f64 (.f64 (sin.f64 x) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2))) (cos.f64 x))))) 1)
	60.3b	(+.f64 (+.f64 -1 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 1)
	42.6b	(+.f64 (.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	42.6b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	42.9b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	43.4b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	43.8b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	43.6b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2))) 1)
	58.2b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (+.f64 1 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 eps -2))))) 1)
▶	58.2b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
▶	58.2b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) -1))) 1)
	57.7b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) 1)) 1)
	60.8b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 -1 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	60.2b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) 1)) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	47.5b	(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
	32.7b	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))
	32.7b	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))) (cos.f64 x)) (.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 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))))))) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (+.f64 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (cos.f64 x)) (.f64 (/.f64 (.f64 (sin.f64 x) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x)) -1/3)) (neg.f64 (pow.f64 eps 4)))))
▶	45.1b	(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
✓	61.3b	(+.f64 -1 1)
	40.9b	(.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
	41.4b	(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))
	58.7b	(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))))))
▶	34.8b	(.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
✓	32.3b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
	32.3b	(.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2) (pow.f64 (/.f64 1 (cos.f64 x)) 2))) -1))
	43.9b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1))
	41.1b	(.f64 eps (-.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 2)) (pow.f64 (cos.f64 x) 2)) -1))
	45.8b	(.f64 eps (-.f64 (/.f64 (.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2))) (pow.f64 (cos.f64 x) 2)) -1))
	41.1b	(.f64 eps (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (/.f64 1 (sin.f64 x)) 2)) (pow.f64 (cos.f64 x) 2)) -1))
	47.6b	(.f64 eps (-.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))))) 2) (/.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2))) (pow.f64 (/.f64 1 (sin.f64 x)) 2)) (pow.f64 (cos.f64 x) 2)) -1))
	59.5b	(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
	44.5b	eps

Compiler

Compiled 4048 to 2368 computations (41.5% saved)

localize34.0ms (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)
	3.9b	(*.f64 (pow.f64 (sin.f64 eps) 2) x)

Compiler

Compiled 47 to 23 computations (51.1% saved)

localize18.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/3 (pow.f64 eps 3))

Compiler

Compiled 20 to 15 computations (25% saved)

series14.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	eps	@	inf	(*.f64 1/3 (pow.f64 eps 3))
1.0ms	eps	@	0	(*.f64 1/3 (pow.f64 eps 3))
1.0ms	eps	@	-inf	(*.f64 1/3 (pow.f64 eps 3))

rewrite110.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`rational.json-5`
1162×	`exponential.json-3`
1162×	`rational.json-1`
1162×	`rational.json-2`
1162×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	57	13
2	175	13
3	611	13
4	2305	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 eps 3))

Outputs

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

simplify170.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1768×	`rational.json-simplify-47`
944×	`rational.json-simplify-54`
712×	`rational.json-simplify-1`
702×	`rational.json-simplify-111`
696×	`rational.json-simplify-104`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	117
1	47	117
2	117	117
3	345	117
4	1334	117
5	3335	117
6	6445	117

Stop Event

1×	node limit

Counts

9 → 10

Calls

Call 1

Inputs
(+.f64 (*.f64 1/3 (pow.f64 eps 3)) 0)
(+.f64 0 (*.f64 1/3 (pow.f64 eps 3)))
(-.f64 (*.f64 1/3 (pow.f64 eps 3)) 0)
(-.f64 0 (neg.f64 (*.f64 1/3 (pow.f64 eps 3))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/3 (pow.f64 eps 3)))) 1)
(/.f64 (*.f64 1/3 (pow.f64 eps 3)) 1)
(/.f64 (.f64 1/3 (pow.f64 eps 3)) (/.f64 (.f64 1/3 (pow.f64 eps 3)) (*.f64 1/3 (pow.f64 eps 3))))
(pow.f64 (*.f64 1/3 (pow.f64 eps 3)) 1)
(neg.f64 (neg.f64 (*.f64 1/3 (pow.f64 eps 3))))

Outputs
(+.f64 (*.f64 1/3 (pow.f64 eps 3)) 0)
(*.f64 1/3 (pow.f64 eps 3))
(+.f64 0 (*.f64 1/3 (pow.f64 eps 3)))
(*.f64 1/3 (pow.f64 eps 3))
(-.f64 (*.f64 1/3 (pow.f64 eps 3)) 0)
(*.f64 1/3 (pow.f64 eps 3))
(-.f64 0 (neg.f64 (*.f64 1/3 (pow.f64 eps 3))))
(*.f64 1/3 (pow.f64 eps 3))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/3 (pow.f64 eps 3)))) 1)
(*.f64 1/3 (pow.f64 eps 3))
(/.f64 (*.f64 1/3 (pow.f64 eps 3)) 1)
(*.f64 1/3 (pow.f64 eps 3))
(/.f64 (.f64 1/3 (pow.f64 eps 3)) (/.f64 (.f64 1/3 (pow.f64 eps 3)) (*.f64 1/3 (pow.f64 eps 3))))
(*.f64 1/3 (pow.f64 eps 3))
(pow.f64 (*.f64 1/3 (pow.f64 eps 3)) 1)
(*.f64 1/3 (pow.f64 eps 3))
(neg.f64 (neg.f64 (*.f64 1/3 (pow.f64 eps 3))))
(*.f64 1/3 (pow.f64 eps 3))

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
	0.2b	(/.f64 (sin.f64 eps) (cos.f64 eps))
✓	0.3b	(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
✓	15.0b	(.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))

Compiler

Compiled 50 to 12 computations (76% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite293.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`rational.json-simplify-44`
866×	`rational.json-5`
864×	`exponential.json-3`
864×	`rational.json-1`
864×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	117
1	103	71
2	370	71
3	1494	71
4	7440	71

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs

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

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

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

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

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

simplify434.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1544×	`rational.json-simplify-104`
1482×	`rational.json-simplify-76`
1320×	`rational.json-simplify-55`
894×	`rational.json-simplify-47`
816×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	2770
1	393	2770
2	620	2770
3	2903	2770
4	7267	2770

Stop Event

1×	node limit

Counts

102 → 95

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

Outputs
eps
(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (.f64 2/15 (pow.f64 eps 5))))
(+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 eps (.f64 2/15 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 17/315 (pow.f64 eps 7)) (*.f64 2/15 (pow.f64 eps 5)))))
(+.f64 eps (+.f64 (.f64 1/3 (pow.f64 eps 3)) (+.f64 (.f64 2/15 (pow.f64 eps 5)) (*.f64 17/315 (pow.f64 eps 7)))))
(+.f64 (.f64 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 eps (+.f64 (.f64 2/15 (pow.f64 eps 5)) (*.f64 17/315 (pow.f64 eps 7)))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2/3 (pow.f64 eps 4)) (.f64 17/45 (pow.f64 eps 6))))
(+.f64 (.f64 2/3 (pow.f64 eps 4)) (+.f64 (.f64 17/45 (pow.f64 eps 6)) (pow.f64 eps 2)))
(+.f64 (.f64 2/3 (pow.f64 eps 4)) (+.f64 (pow.f64 eps 2) (.f64 17/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2/3 (pow.f64 eps 4)) (+.f64 (.f64 17/45 (pow.f64 eps 6)) (*.f64 62/315 (pow.f64 eps 8)))))
(/.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 (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 (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 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))
(/.f64 1 eps)
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(+.f64 (/.f64 1 eps) (+.f64 (.f64 -1/3 eps) (.f64 -1/45 (pow.f64 eps 3))))
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(+.f64 (/.f64 1 eps) (+.f64 (.f64 eps -1/3) (+.f64 (.f64 (pow.f64 eps 3) -1/45) (*.f64 (pow.f64 eps 5) -2/945))))
(+.f64 (.f64 (pow.f64 eps 3) -1/45) (+.f64 (/.f64 1 eps) (+.f64 (.f64 eps -1/3) (*.f64 (pow.f64 eps 5) -2/945))))
(+.f64 (+.f64 (/.f64 1 eps) (.f64 eps -1/3)) (+.f64 (.f64 (pow.f64 eps 3) -1/45) (*.f64 (pow.f64 eps 5) -2/945)))
(/.f64 (cos.f64 eps) (sin.f64 eps))
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(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(/.f64 (cos.f64 eps) (sin.f64 eps))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 0)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(-.f64 0 (neg.f64 (/.f64 (sin.f64 eps) (cos.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 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)
(/.f64 (sin.f64 eps) (cos.f64 eps))
(neg.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
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(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 0)
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 0 (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(pow.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(neg.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
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(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(fabs.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
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(fabs.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps))) (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps))) (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (fabs.f64 (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (*.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (/.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (/.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fabs.f64 (/.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (fabs.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (/.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2) (fabs.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 2)))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))) (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 (fabs.f64 (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))))))
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 0)
(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+.f64 0 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 0)
(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1))
(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(.f64 (.f64 (.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (*.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))))))
(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(pow.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 1)
(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))))
(/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps)))

localize169.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
	0.3b	(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))
✓	3.0b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) -1))) 1)
	3.6b	(tan.f64 (+.f64 x eps))

Compiler

Compiled 288 to 122 computations (57.6% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) -1))) 1)
1.0ms	x	@	0	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) -1))) 1)
1.0ms	eps	@	-inf	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) -1))) 1)
1.0ms	x	@	-inf	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) -1))) 1)
1.0ms	x	@	inf	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) -1))) 1)

rewrite211.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`rational.json-simplify-55`
982×	`rational.json-5`
980×	`exponential.json-3`
980×	`rational.json-1`
980×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	203
1	177	203
2	574	199
3	2099	199

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs

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

Outputs

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

simplify314.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1348×	`rational.json-simplify-1`
1312×	`rational.json-simplify-2`
940×	`rational.json-simplify-45`
866×	`rational.json-simplify-42`
844×	`rational.json-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	188	6478
1	416	6276
2	849	6268
3	1908	6068
4	4819	6056

Stop Event

1×	node limit

Counts

36 → 66

Calls

Call 1

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

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

localize105.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)))
	0.3b	(-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))
	3.6b	(tan.f64 (+.f64 x eps))
✓	6.4b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)

Compiler

Compiled 342 to 135 computations (60.5% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite97.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`rational.json-5`
1538×	`exponential.json-3`
1538×	`rational.json-1`
1538×	`rational.json-2`
1538×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	235
1	211	235
2	741	235
3	2946	235

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (/.f64 (/.f64 1 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (/.f64 (/.f64 1 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) -1)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (*.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (/.f64 (/.f64 1 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (/.f64 (/.f64 1 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) -1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (/.f64 (/.f64 1 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) -1)))))) (/.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (/.f64 (/.f64 1 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 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simplify397.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1052×	`rational.json-simplify-45`
924×	`rational.json-simplify-42`
908×	`rational.json-simplify-47`
872×	`rational.json-simplify-44`
840×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	183	6440
1	396	6238
2	897	6230
3	2267	6030
4	6166	6018

Stop Event

1×	node limit

Counts

34 → 63

Calls

Call 1

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

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

eval6.0s (13.2%)

Compiler: Compiled 241580 to 109854 computations (54.5% saved)

prune5.5s (12.2%)

Pruning

59 alts after pruning (52 fresh and 7 done)

	Pruned	Kept	Total
New	2359	18	2377
Fresh	2	34	36
Picked	1	0	1
Done	2	7	9
Total	2364	59	2423

Error

12.2b

Counts

2423 → 59

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.3b	(/.f64 (sin.f64 eps) (cos.f64 eps))
	42.5b	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)
	37.1b	(-.f64 (.f64 (/.f64 1 (tan.f64 (+.f64 x eps))) (.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
	58.3b	(-.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (-.f64 (+.f64 (tan.f64 x) 1) (tan.f64 (+.f64 x eps))))))) -1)
	58.2b	(-.f64 (.f64 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (.f64 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (/.f64 (/.f64 1 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (tan.f64 x)) -1))))) -1)
✓	34.5b	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	57.2b	(-.f64 1 (pow.f64 (+.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps))) 2))
	58.2b	(-.f64 1 (pow.f64 (+.f64 -1 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) 2))
✓	28.8b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
✓	28.9b	(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) 1) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	32.7b	(+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.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 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))))))))
	30.7b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (*.f64 (sin.f64 eps) (pow.f64 x 2))) (cos.f64 eps))))
	30.9b	(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) -1/2) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) 1/6) (+.f64 1/2 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1)) (pow.f64 (cos.f64 eps) 2)))))) (neg.f64 (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (/.f64 (.f64 (sin.f64 eps) (*.f64 (pow.f64 x 2) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1))) (cos.f64 eps)))))
	42.4b	(+.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 1)
	44.9b	(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 x 1)) 1)
	43.5b	(+.f64 (-.f64 (tan.f64 (+.f64 x eps)) 1) 1)
	44.2b	(+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (pow.f64 (cos.f64 eps) 2)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) -1)) 1)
	44.7b	(+.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (+.f64 -1 (/.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 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (cos.f64 eps)))) 1)
	60.7b	(+.f64 (+.f64 (.f64 (pow.f64 eps 3) (-.f64 -1/6 (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (cos.f64 x) 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 -1/2 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (+.f64 -1 (/.f64 (.f64 (sin.f64 x) (*.f64 (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (pow.f64 eps 2))) (cos.f64 x))))) 1)
	60.3b	(+.f64 (+.f64 -1 (*.f64 eps (-.f64 1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) 1)
	57.7b	(+.f64 (.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) -1))) 1)
	42.6b	(+.f64 (.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	57.2b	(+.f64 (.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) -1))) 1)
	42.6b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	58.2b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (+.f64 1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	42.9b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	43.8b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1)) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	43.6b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (pow.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 1) 2))) 1)
	58.2b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (+.f64 1 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 eps -2))))) 1)
	58.2b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (tan.f64 x) 1)) (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (.f64 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)))) (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (/.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (*.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1))))))))) 1)
	57.7b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) 1)) 1)
	61.3b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 -1 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	58.3b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (/.f64 1 (/.f64 1 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 1 (tan.f64 x))))) (.f64 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 1 (tan.f64 x))) (/.f64 1 (-.f64 (tan.f64 (+.f64 eps x)) (+.f64 1 (tan.f64 x))))))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) -1))) 1)
	58.2b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (/.f64 (/.f64 1 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)) (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1)))) (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (.f64 (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) -1))))))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) -1))) 1)
	43.4b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) -1))) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) -1))) 1)
	60.2b	(+.f64 (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) 1)) (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1)) (-.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 x) 1))))) 1)
	47.5b	(+.f64 (*.f64 eps (pow.f64 x 2)) eps)
	32.7b	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)))
	32.7b	(+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (pow.f64 eps 2))) (cos.f64 x)) (.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 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))))))) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (+.f64 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.f64 1/6 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))) (cos.f64 x)) (.f64 (/.f64 (.f64 (sin.f64 x) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x)) -1/3)) (neg.f64 (pow.f64 eps 4)))))
	45.1b	(+.f64 eps (-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/3 (pow.f64 eps 3)))) 1))
✓	45.1b	(+.f64 eps (*.f64 1/3 (pow.f64 eps 3)))
✓	61.3b	(+.f64 -1 1)
	40.9b	(.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (*.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
	41.4b	(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (/.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (cos.f64 eps) 4)))
	58.7b	(.f64 (/.f64 (/.f64 1 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) (.f64 (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (.f64 (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))))))
	34.8b	(.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
	34.8b	(*.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))
	44.1b	(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 (sin.f64 eps) (cos.f64 eps)))) 1)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
	39.2b	(.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
	52.7b	(.f64 (/.f64 1 eps) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
✓	32.3b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))
	32.3b	(.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2) (pow.f64 (/.f64 1 (cos.f64 x)) 2))) -1))
	43.9b	(*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) -1))
	41.1b	(.f64 eps (-.f64 (/.f64 (.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 2)) (pow.f64 (cos.f64 x) 2)) -1))
	45.8b	(.f64 eps (-.f64 (/.f64 (.f64 (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2) (/.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2))) (pow.f64 (cos.f64 x) 2)) -1))
	41.1b	(.f64 eps (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (/.f64 1 (sin.f64 x)) 2)) (pow.f64 (cos.f64 x) 2)) -1))
	47.6b	(.f64 eps (-.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (.f64 (sin.f64 x) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))))) 2) (/.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (.f64 (sin.f64 x) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (sin.f64 x)))) 2))) (pow.f64 (/.f64 1 (sin.f64 x)) 2)) (pow.f64 (cos.f64 x) 2)) -1))
	59.5b	(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
	44.5b	eps

Compiler

Compiled 2793 to 1564 computations (44% saved)

regimes994.0ms (2.2%)

Counts

91 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

383.0ms	x
285.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
128.0ms	eps

Results

Error	Segments	Branch
15.6b	3	`x`
13.7b	3	`eps`
14.6b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 4248 to 1812 computations (57.3% saved)

bsearch84.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	2.9067426486687608e-5	0.22996220244893437
46.0ms	-50495177122.47239	-0.1810845308230814

Results

28.0ms	67×	body	1024	valid
27.0ms	180×	body	256	valid
9.0ms	34×	body	512	valid
5.0ms	7×	body	2048	valid

Compiler

Compiled 3338 to 2244 computations (32.8% saved)

regimes836.0ms (1.8%)

Counts

89 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

348.0ms	eps
168.0ms	x
128.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
15.6b	3	`x`
13.8b	3	`eps`
14.6b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 3904 to 1588 computations (59.3% saved)

bsearch80.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	2.9067426486687608e-5	0.22996220244893437
35.0ms	-13940016818459.52	-50495177122.47239

Results

29.0ms	157×	body	256	valid
26.0ms	63×	body	1024	valid
8.0ms	27×	body	512	valid
6.0ms	9×	body	2048	valid

Compiler

Compiled 1654 to 1146 computations (30.7% saved)

regimes391.0ms (0.9%)

Counts

81 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

133.0ms	x
124.0ms	eps
72.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
15.7b	3	`x`
14.0b	3	`eps`
14.7b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 3023 to 1213 computations (59.9% saved)

bsearch86.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	2.9067426486687608e-5	0.22996220244893437
44.0ms	-50495177122.47239	-0.1810845308230814

Results

34.0ms	76×	body	1024	valid
27.0ms	167×	body	256	valid
10.0ms	37×	body	512	valid
5.0ms	8×	body	2048	valid

Compiler

Compiled 872 to 606 computations (30.5% saved)

regimes237.0ms (0.5%)

Counts

50 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

92.0ms	eps
73.0ms	x
48.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
15.8b	3	`x`
14.1b	3	`eps`
14.7b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 902 to 408 computations (54.8% saved)

bsearch70.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	2.9067426486687608e-5	0.22996220244893437
34.0ms	-13940016818459.52	-50495177122.47239

Results

25.0ms	160×	body	256	valid
22.0ms	53×	body	1024	valid
9.0ms	33×	body	512	valid
7.0ms	10×	body	2048	valid

Compiler

Compiled 582 to 426 computations (26.8% saved)

regimes186.0ms (0.4%)

Counts

43 → 3

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	x
64.0ms	eps
39.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Error	Segments	Branch
15.8b	3	`x`
14.1b	3	`eps`
14.7b	3	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 615 to 289 computations (53% saved)

bsearch80.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
44.0ms	2.9067426486687608e-5	0.22996220244893437
35.0ms	-13940016818459.52	-50495177122.47239

Results

32.0ms	68×	body	1024	valid
25.0ms	149×	body	256	valid
11.0ms	31×	body	512	valid
6.0ms	8×	body	2048	valid

Compiler

Compiled 422 to 330 computations (21.8% saved)

regimes58.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	eps
15.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms	x

Results

Error	Segments	Branch
26.3b	1	`x`
26.3b	1	`eps`
26.3b	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 226 to 119 computations (47.3% saved)

regimes48.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

Inputs
eps
(+.f64 -1 1)
(+.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 x 1)) 1)
(+.f64 eps (-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/3 (pow.f64 eps 3)))) 1))

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

Calls

2 calls:

30.0ms	x
16.0ms	eps

Results

Error	Segments	Branch
37.6b	6	`x`
27.0b	3	`eps`

Compiler

Compiled 57 to 40 computations (29.8% saved)

bsearch69.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	2.9067426486687608e-5	0.22996220244893437
36.0ms	-13940016818459.52	-50495177122.47239

Results

31.0ms	75×	body	1024	valid
22.0ms	147×	body	256	valid
8.0ms	30×	body	512	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 350 to 282 computations (19.4% saved)

regimes12.0ms (0%)

Accuracy

Total -18.2b remaining (-41%)

Threshold costs -18.2b (-41%)

Counts

4 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

6.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
44.5b	1	`x`
44.5b	1	`eps`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify16.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1436

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 eps -2386907802506363/9007199254740992) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 5534023222112865/1152921504606846976) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.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 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))))) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))))) (cos.f64 x)) (.f64 (/.f64 (.f64 (sin.f64 x) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x)) -1/3)) (neg.f64 (pow.f64 eps 4)))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -51000000000) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 7349874591868649/288230376151711744) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.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 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -3332663724254167/18014398509481984) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 2176715800697727/36893488147419103232) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -51000000000) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3910709743626425/73786976294838206464) (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))) -1)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -51000000000) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 6640827866535439/147573952589676412928) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(if (<=.f64 eps -51000000000) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) 1) 1) (if (<=.f64 eps 6456360425798343/2305843009213693952) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) 1) 1)))
eps

Outputs
(if (<=.f64 eps -2386907802506363/9007199254740992) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 5534023222112865/1152921504606846976) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (+.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 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))))) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (.f64 (+.f64 (/.f64 (.f64 (sin.f64 x) (+.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1/6 (.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))))) (cos.f64 x)) (.f64 (/.f64 (.f64 (sin.f64 x) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (cos.f64 x)) -1/3)) (neg.f64 (pow.f64 eps 4)))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -51000000000) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 7349874591868649/288230376151711744) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x)) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (.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 (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -3332663724254167/18014398509481984) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 2176715800697727/36893488147419103232) (+.f64 (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (*.f64 (sin.f64 x) (pow.f64 eps 2))) (cos.f64 x))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -51000000000) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 3910709743626425/73786976294838206464) (.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2)))) -1)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(if (<=.f64 eps -51000000000) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (tan.f64 x)) (if (<=.f64 eps 6640827866535439/147573952589676412928) (*.f64 eps (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(if (<=.f64 eps -51000000000) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) 1) 1) (if (<=.f64 eps 6456360425798343/2305843009213693952) (+.f64 eps (*.f64 1/3 (pow.f64 eps 3))) (+.f64 (-.f64 (tan.f64 (+.f64 x eps)) 1) 1)))
eps

Compiler

Compiled 491 to 319 computations (35% saved)

soundness258.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational.json-simplify-54`
1164×	`rational.json-simplify-50`
974×	`rational.json-simplify-1`
612×	`rational.json-simplify-47`
602×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	202	4658
1	449	4498
2	1159	4498
3	3481	4360

Stop Event

1×	node limit

Compiler

Compiled 215 to 149 computations (30.7% saved)

end206.0ms (0.5%)

Compiler: Compiled 477 to 274 computations (42.6% saved)