Details

analyze216.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	50%	0%	0%	0%	0%	12

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.6s (5.8%)

Results

673.0ms	1998×	body	1024	valid
659.0ms	5238×	body	256	valid
233.0ms	1015×	body	512	valid
3.0ms	5×	body	2048	valid

Bogosity

preprocess6.6s (24.3%)

Algorithm

2×	egg-herbie

Rules

13876×	`rational.json-simplify-41`
3686×	`rational.json-simplify-1`
674×	`trig.json-simplify-21`
4×	`rational.json-simplify-54`
4×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	18	47
2	23	47
3	30	47
4	41	47
5	51	47
6	63	47
7	79	47
8	97	47
9	118	47
10	146	47
11	173	47
12	203	47
13	236	47
14	280	47
15	296	47
16	299	47
17	302	47
18	305	47
19	308	47
20	370	47
21	449	47
22	472	47
23	475	47
24	478	47
25	481	47
26	484	47
27	487	47
28	490	47
29	493	47
30	496	47
31	499	47
32	639	47
33	930	47
34	1015	47
35	1018	47
36	1021	47
37	1024	47
38	1027	47
39	1030	47
40	1033	47
41	1036	47
42	1039	47
43	1042	47
44	1045	47
45	1048	47
46	1051	47
47	1054	47
48	1057	47
49	1060	47
50	1063	47
51	1066	47
52	1069	47
53	1072	47
54	1385	47
55	1387	47
56	1389	47
57	1391	47
58	1393	47
59	1395	47
60	1496	47
61	1499	47
62	1502	47
63	1505	47
64	1508	47
65	1511	47
66	1514	47
67	1517	47
68	1520	47
69	1523	47
70	1526	47
71	1529	47
72	1532	47
73	1535	47
74	1538	47
75	1541	47
76	1544	47
77	1547	47
78	1550	47
79	1553	47
80	1556	47
81	1559	47
82	1562	47
83	1565	47
84	1568	47
85	1571	47
86	1574	47
87	1577	47
88	1580	47
89	1583	47
90	1586	47
91	1589	47
92	1592	47
93	1595	47
94	1598	47
95	2251	47
96	2449	47
97	2452	47
98	2455	47
99	2458	47
100	2461	47
101	2464	47
102	2467	47
103	2470	47
104	2473	47
105	2476	47
106	2479	47
107	2482	47
108	2485	47
109	2488	47
110	2491	47
111	2494	47
112	2497	47
113	2500	47
114	2503	47
115	2506	47
116	2509	47
117	2512	47
118	2515	47
119	2518	47
120	2521	47
121	2524	47
122	2527	47
123	2530	47
124	2533	47
125	2536	47
126	2539	47
127	2542	47
128	2545	47
129	2548	47
130	2551	47
131	2554	47
132	2557	47
133	2560	47
134	2563	47
135	2566	47
136	2569	47
137	2572	47
138	2575	47
139	2578	47
140	2581	47
141	2584	47
142	2587	47
143	2590	47
144	2593	47
145	2596	47
146	2599	47
147	2602	47
148	2605	47
149	2608	47
150	2611	47
151	2614	47
152	2617	47
153	2620	47
154	2623	47
155	2626	47
156	2629	47
157	2632	47
158	2635	47
159	2638	47
160	2641	47
161	2644	47
162	2647	47
163	2650	47
164	2653	47
165	2656	47
166	2659	47
167	2662	47
168	2665	47
169	2668	47
170	2671	47
171	2674	47
172	2677	47
173	2680	47
174	2683	47
175	2686	47
176	3833	47
177	6238	47
178	6240	47
179	6242	47
180	6244	47
181	6246	47
182	6248	47
183	6250	47
184	6252	47
185	6254	47
186	6256	47
187	7116	47
188	7119	47
189	7122	47
190	7125	47
191	7128	47
192	7131	47
193	7134	47
194	7137	47
195	7140	47
196	7143	47
197	7146	47
198	7149	47
199	7152	47
200	7155	47
201	7158	47
202	7161	47
203	7164	47
204	7167	47
205	7170	47
206	7173	47
207	7176	47
208	7179	47
209	7182	47
210	7185	47
211	7188	47
212	7191	47
213	7194	47
214	7197	47
215	7200	47
216	7203	47
217	7206	47
218	7209	47
219	7212	47
220	7215	47
221	7218	47
222	7221	47
223	7224	47
224	7227	47
225	7230	47
226	7233	47
227	7236	47
228	7238	47
229	7240	47
230	7242	47
231	7244	47
232	7246	47
233	7248	47
234	7250	47
235	7252	47
236	7254	47
237	7256	47
238	7258	47
239	7260	47
240	7262	47
241	7264	47
242	7266	47
243	7268	47
244	7270	47
245	7272	47
246	7274	47
247	7276	47
248	7299	47
249	7302	47
250	7305	47
251	7308	47
252	7311	47
253	7314	47
254	7317	47
255	7320	47
256	7323	47
257	7326	47
258	7329	47
259	7332	47
260	7335	47
261	7338	47
262	7341	47
263	7344	47
264	7347	47
265	7350	47
266	7353	47
267	7356	47
268	7359	47
269	7362	47
270	7365	47
271	7368	47
272	7371	47
273	7374	47
274	7377	47
275	7380	47
276	7383	47
277	7386	47
278	7389	47
279	7392	47
280	7395	47
281	7398	47
282	7401	47
283	7404	47
284	7407	47
285	7410	47
286	7413	47
287	7416	47
288	7419	47
289	7422	47
290	7425	47
291	7428	47
292	7431	47
293	7434	47
294	7437	47
295	7440	47
296	7443	47
297	7446	47
298	7449	47
299	7452	47
300	7455	47
301	7458	47
302	7461	47
303	7464	47
304	7467	47
305	7470	47
306	7473	47
307	7476	47
308	7479	47
309	7482	47
310	7485	47
311	7488	47
312	7491	47
313	7494	47
314	7497	47
315	7500	47
316	7503	47
317	7506	47
318	7509	47
319	7512	47
320	7515	47
321	7518	47
322	7521	47
323	7524	47
324	7527	47
325	7530	47
326	7533	47
327	7536	47
328	7539	47
329	7542	47
330	7545	47
331	7548	47
332	7551	47
333	7554	47
334	7557	47
335	7560	47
336	7563	47
337	7566	47
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify6.8s (25%)

Algorithm

1×	egg-herbie

Rules

13876×	`rational.json-simplify-41`
3686×	`rational.json-simplify-1`
674×	`trig.json-simplify-21`
4×	`rational.json-simplify-54`
4×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	18	47
2	23	47
3	30	47
4	41	47
5	51	47
6	63	47
7	79	47
8	97	47
9	118	47
10	146	47
11	173	47
12	203	47
13	236	47
14	280	47
15	296	47
16	299	47
17	302	47
18	305	47
19	308	47
20	370	47
21	449	47
22	472	47
23	475	47
24	478	47
25	481	47
26	484	47
27	487	47
28	490	47
29	493	47
30	496	47
31	499	47
32	639	47
33	930	47
34	1015	47
35	1018	47
36	1021	47
37	1024	47
38	1027	47
39	1030	47
40	1033	47
41	1036	47
42	1039	47
43	1042	47
44	1045	47
45	1048	47
46	1051	47
47	1054	47
48	1057	47
49	1060	47
50	1063	47
51	1066	47
52	1069	47
53	1072	47
54	1385	47
55	1387	47
56	1389	47
57	1391	47
58	1393	47
59	1395	47
60	1496	47
61	1499	47
62	1502	47
63	1505	47
64	1508	47
65	1511	47
66	1514	47
67	1517	47
68	1520	47
69	1523	47
70	1526	47
71	1529	47
72	1532	47
73	1535	47
74	1538	47
75	1541	47
76	1544	47
77	1547	47
78	1550	47
79	1553	47
80	1556	47
81	1559	47
82	1562	47
83	1565	47
84	1568	47
85	1571	47
86	1574	47
87	1577	47
88	1580	47
89	1583	47
90	1586	47
91	1589	47
92	1592	47
93	1595	47
94	1598	47
95	2251	47
96	2449	47
97	2452	47
98	2455	47
99	2458	47
100	2461	47
101	2464	47
102	2467	47
103	2470	47
104	2473	47
105	2476	47
106	2479	47
107	2482	47
108	2485	47
109	2488	47
110	2491	47
111	2494	47
112	2497	47
113	2500	47
114	2503	47
115	2506	47
116	2509	47
117	2512	47
118	2515	47
119	2518	47
120	2521	47
121	2524	47
122	2527	47
123	2530	47
124	2533	47
125	2536	47
126	2539	47
127	2542	47
128	2545	47
129	2548	47
130	2551	47
131	2554	47
132	2557	47
133	2560	47
134	2563	47
135	2566	47
136	2569	47
137	2572	47
138	2575	47
139	2578	47
140	2581	47
141	2584	47
142	2587	47
143	2590	47
144	2593	47
145	2596	47
146	2599	47
147	2602	47
148	2605	47
149	2608	47
150	2611	47
151	2614	47
152	2617	47
153	2620	47
154	2623	47
155	2626	47
156	2629	47
157	2632	47
158	2635	47
159	2638	47
160	2641	47
161	2644	47
162	2647	47
163	2650	47
164	2653	47
165	2656	47
166	2659	47
167	2662	47
168	2665	47
169	2668	47
170	2671	47
171	2674	47
172	2677	47
173	2680	47
174	2683	47
175	2686	47
176	3833	47
177	6238	47
178	6240	47
179	6242	47
180	6244	47
181	6246	47
182	6248	47
183	6250	47
184	6252	47
185	6254	47
186	6256	47
187	7116	47
188	7119	47
189	7122	47
190	7125	47
191	7128	47
192	7131	47
193	7134	47
194	7137	47
195	7140	47
196	7143	47
197	7146	47
198	7149	47
199	7152	47
200	7155	47
201	7158	47
202	7161	47
203	7164	47
204	7167	47
205	7170	47
206	7173	47
207	7176	47
208	7179	47
209	7182	47
210	7185	47
211	7188	47
212	7191	47
213	7194	47
214	7197	47
215	7200	47
216	7203	47
217	7206	47
218	7209	47
219	7212	47
220	7215	47
221	7218	47
222	7221	47
223	7224	47
224	7227	47
225	7230	47
226	7233	47
227	7236	47
228	7238	47
229	7240	47
230	7242	47
231	7244	47
232	7246	47
233	7248	47
234	7250	47
235	7252	47
236	7254	47
237	7256	47
238	7258	47
239	7260	47
240	7262	47
241	7264	47
242	7266	47
243	7268	47
244	7270	47
245	7272	47
246	7274	47
247	7276	47
248	7299	47
249	7302	47
250	7305	47
251	7308	47
252	7311	47
253	7314	47
254	7317	47
255	7320	47
256	7323	47
257	7326	47
258	7329	47
259	7332	47
260	7335	47
261	7338	47
262	7341	47
263	7344	47
264	7347	47
265	7350	47
266	7353	47
267	7356	47
268	7359	47
269	7362	47
270	7365	47
271	7368	47
272	7371	47
273	7374	47
274	7377	47
275	7380	47
276	7383	47
277	7386	47
278	7389	47
279	7392	47
280	7395	47
281	7398	47
282	7401	47
283	7404	47
284	7407	47
285	7410	47
286	7413	47
287	7416	47
288	7419	47
289	7422	47
290	7425	47
291	7428	47
292	7431	47
293	7434	47
294	7437	47
295	7440	47
296	7443	47
297	7446	47
298	7449	47
299	7452	47
300	7455	47
301	7458	47
302	7461	47
303	7464	47
304	7467	47
305	7470	47
306	7473	47
307	7476	47
308	7479	47
309	7482	47
310	7485	47
311	7488	47
312	7491	47
313	7494	47
314	7497	47
315	7500	47
316	7503	47
317	7506	47
318	7509	47
319	7512	47
320	7515	47
321	7518	47
322	7521	47
323	7524	47
324	7527	47
325	7530	47
326	7533	47
327	7536	47
328	7539	47
329	7542	47
330	7545	47
331	7548	47
332	7551	47
333	7554	47
334	7557	47
335	7560	47
336	7563	47
337	7566	47

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% 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

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 16 to 8 computations (50% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.2b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	0.2b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series8.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(*.f64 (tan.f64 x) (tan.f64 x))
1.0ms	x	@	inf	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
1.0ms	x	@	inf	(*.f64 (tan.f64 x) (tan.f64 x))
1.0ms	x	@	-inf	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
1.0ms	x	@	0	(*.f64 (tan.f64 x) (tan.f64 x))

rewrite152.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`rational.json-simplify-2`
910×	`rational.json-simplify-79`
576×	`rational.json-simplify-47`
544×	`rational.json-simplify-76`
528×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	104
1	89	104
2	301	104
3	1069	104
4	4235	104

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

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

simplify146.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1148×	`rational.json-simplify-2`
1056×	`rational.json-simplify-111`
1034×	`rational.json-simplify-54`
1012×	`rational.json-simplify-49`
836×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	4013
1	518	4007
2	1121	4003
3	3104	3991

Stop Event

1×	node limit

Counts

139 → 148

Calls

Call 1

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

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

eval75.0ms (0.3%)

Compiler: Compiled 5144 to 2234 computations (56.6% saved)

prune69.0ms (0.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	174	19	193
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	20	194

Error

0.1b

Counts

194 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.2b	(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.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)) 1))
	0.5b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (-.f64 0 (-.f64 -2 (.f64 (tan.f64 x) (tan.f64 x)))) 1))
	31.3b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
▶	0.4b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
▶	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))))
	0.5b	(/.f64 (+.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	28.6b	(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1)
	32.4b	(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
▶	32.2b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
▶	0.4b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))
	0.5b	(.f64 (.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))))))

Compiler

Compiled 1888 to 884 computations (53.2% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 114 to 43 computations (62.3% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite151.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`rational.json-simplify-49`
950×	`rational.json-simplify-47`
890×	`rational.json-simplify-50`
640×	`rational.json-simplify-55`
566×	`rational.json-5`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	153
1	114	153
2	364	95
3	1290	95
4	5192	95

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

Inputs

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

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

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

Outputs
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Outputs

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

simplify145.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational.json-simplify-104`
1140×	`rational.json-simplify-47`
1108×	`rational.json-simplify-76`
1064×	`rational.json-simplify-55`
802×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	3771
1	426	3765
2	768	3765
3	3096	3753

Stop Event

1×	node limit

Counts

105 → 108

Calls

Call 1

Inputs
1
(+.f64 (*.f64 2 (pow.f64 x 2)) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 7/3 (pow.f64 x 4))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 94/45 (pow.f64 x 6)) (*.f64 7/3 (pow.f64 x 4)))))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 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 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 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 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 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(+.f64 0 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(-.f64 0 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))) 1)
(/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
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(pow.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(neg.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
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Outputs
1
(+.f64 (*.f64 2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 7/3 (pow.f64 x 4))))
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(+.f64 1 (+.f64 (+.f64 (.f64 7/3 (pow.f64 x 4)) (.f64 94/45 (pow.f64 x 6))) (*.f64 2 (pow.f64 x 2))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 7/3 (pow.f64 x 4)) (*.f64 94/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 7/3 (pow.f64 x 4)) (*.f64 94/45 (pow.f64 x 6)))))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
1
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1
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(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (fabs.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (/.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (.f64 (fabs.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 2 (fabs.f64 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 2 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 2 (fabs.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 2) (.f64 (fabs.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 0)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 0 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 0)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 0 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 2) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (-.f64 0 (-.f64 -2 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) -1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 1)
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 0)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 0 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 0)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 0 (neg.f64 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 1 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) 1))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))) (/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))) (/.f64 (.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) 1) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(neg.f64 (neg.f64 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

localize8.0ms (0%)

Compiler: Compiled 20 to 16 computations (20% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.1b	(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 39 to 20 computations (48.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

rewrite177.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`rational.json-simplify-2`
630×	`rational.json-simplify-47`
588×	`rational.json-simplify-76`
578×	`rational.json-simplify-58`
544×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	104	39
2	334	39
3	1168	39
4	4620	39

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify332.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1518×	`rational.json-simplify-111`
1030×	`rational.json-simplify-47`
836×	`rational.json-simplify-2`
706×	`rational.json-simplify-55`
626×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	1447
1	140	1431
2	268	1431
3	1061	1431
4	4827	1431

Stop Event

1×	node limit

Counts

29 → 31

Calls

Call 1

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

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

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 35 computations (49.3% saved)

series8.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite182.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`rational.json-simplify-2`
984×	`rational.json-simplify-44`
802×	`rational.json-5`
800×	`exponential.json-3`
800×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	90	49
2	330	49
3	1360	49
4	6281	49

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

Outputs

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

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

simplify153.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1308×	`rational.json-simplify-44`
1034×	`rational.json-simplify-1`
1000×	`rational.json-simplify-41`
828×	`rational.json-simplify-2`
742×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1282
1	265	1276
2	621	1276
3	1823	1240
4	5187	1240

Stop Event

1×	node limit

Counts

62 → 97

Calls

Call 1

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

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

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 136 to 50 computations (63.2% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite172.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1634×	`rational.json-simplify-47`
812×	`rational.json-simplify-55`
652×	`rational.json-5`
650×	`exponential.json-3`
650×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	256
1	115	146
2	383	146
3	1389	146
4	6167	146

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs

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

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

Outputs

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simplify294.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1288×	`rational.json-simplify-55`
1180×	`rational.json-simplify-79`
1078×	`rational.json-simplify-104`
1044×	`rational.json-simplify-2`
1032×	`rational.json-simplify-76`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	6381
1	345	6381
2	547	6381
3	2514	6381
4	5380	6381

Stop Event

1×	node limit

Counts

79 → 75

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 16/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 16/3 (pow.f64 x 4)) (*.f64 -128/45 (pow.f64 x 6)))))
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
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(-.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 0)
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(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(pow.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))

Outputs
1
(+.f64 1 (*.f64 -4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 16/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 16/3 (pow.f64 x 4)) (*.f64 -128/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 -128/45 (pow.f64 x 6)) (+.f64 (.f64 -4 (pow.f64 x 2)) (*.f64 16/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 16/3 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (*.f64 -128/45 (pow.f64 x 6)))))
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
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1
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(fabs.f64 (/.f64 (neg.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (fabs.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (fabs.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (fabs.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (fabs.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))
(.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 0 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 0 (neg.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) 1)
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))

eval1.2s (4.6%)

Compiler: Compiled 45140 to 20047 computations (55.6% saved)

prune471.0ms (1.7%)

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	991	18	1009
Fresh	2	12	14
Picked	0	1	1
Done	1	4	5
Total	994	35	1029

Error

0.1b

Counts

1029 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 1))
	0.4b	(/.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)) 1))
▶	0.5b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (-.f64 1 (-.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2) 1))
	31.3b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2) (pow.f64 (cos.f64 x) 2)) 1))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) 2) (pow.f64 (cos.f64 x) 2)) 1))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 (/.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x))) 2)) 1))
✓	0.4b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2))) 1))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) 1)))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
▶	0.8b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))))
	0.5b	(/.f64 (+.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	28.6b	(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1)
	32.4b	(+.f64 (+.f64 1 (.f64 (pow.f64 x 2) -2)) (.f64 (pow.f64 x 4) 2/3))
✓	32.2b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
	0.5b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
▶	0.7b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
	0.9b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) 1))
✓	0.4b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))
	0.5b	(.f64 (/.f64 1 (/.f64 (+.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))
	0.5b	(.f64 (.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))))))
	28.8b	1

Compiler

Compiled 3142 to 1598 computations (49.1% saved)

localize86.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 234 to 88 computations (62.4% saved)

series7.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite262.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`rational.json-simplify-49`
1072×	`rational.json-simplify-55`
1012×	`rational.json-simplify-47`
652×	`rational.json-5`
650×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	178
1	122	178
2	392	178
3	1386	178
4	6240	178

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

Inputs

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

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

Outputs

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simplify349.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1026×	`rational.json-simplify-2`
810×	`rational.json-simplify-47`
798×	`rational.json-simplify-111`
722×	`rational.json-simplify-54`
698×	`rational.json-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	9287
1	547	9287
2	1000	9279
3	2817	9279
4	6704	9279

Stop Event

1×	node limit

Counts

109 → 119

Calls

Call 1

Inputs
1
(+.f64 (*.f64 4 (pow.f64 x 2)) 1)
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 1 (.f64 26/3 (pow.f64 x 4))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 26/3 (pow.f64 x 4)) (*.f64 608/45 (pow.f64 x 6)))))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
1
(+.f64 1 (*.f64 -3 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 4 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 -47/15 (pow.f64 x 6)) (*.f64 4 (pow.f64 x 4)))))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
(/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 3))
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(-.f64 0 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))) 1)
(/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1)
(/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1)
(neg.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))))
(fabs.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
(fabs.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) (fabs.f64 (/.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
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Outputs
1
(+.f64 (*.f64 4 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 1 (.f64 26/3 (pow.f64 x 4))))
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(+.f64 1 (+.f64 (+.f64 (.f64 26/3 (pow.f64 x 4)) (.f64 608/45 (pow.f64 x 6))) (*.f64 4 (pow.f64 x 2))))
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(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
1
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(/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 1 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))))
(/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (.f64 (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))) (/.f64 (/.f64 1 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))))
(/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) 1)
(/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))
(neg.f64 (neg.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))))
(/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.2b	(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))

Compiler

Compiled 26 to 10 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite110.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1928×	`rational.json-5`
1926×	`rational.json-1`
1926×	`rational.json-2`
1926×	`rational.json-4`
1926×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	81	27
2	273	27
3	962	27
4	3832	27

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

Outputs

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

simplify221.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1370×	`rational.json-simplify-111`
1226×	`rational.json-simplify-54`
784×	`rational.json-simplify-55`
576×	`rational.json-simplify-104`
562×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	721
1	107	715
2	190	715
3	579	703
4	2860	703
5	6704	703

Stop Event

1×	node limit

Counts

23 → 27

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 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 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 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 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 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(+.f64 0 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(.f64 1 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (/.f64 1 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) 1))
(.f64 (/.f64 1 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)

Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.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 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) 1))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) (*.f64 -2/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) (.f64 -2/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 4))) (.f64 -2/45 (pow.f64 x 6))))
(+.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 4)) (.f64 -2/45 (pow.f64 x 6))))
(/.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 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 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 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 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 0 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 1 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (/.f64 1 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) 1))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (/.f64 1 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(pow.f64 (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 35 computations (49.3% saved)

localize85.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
	0.3b	(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
✓	0.6b	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1)

Compiler

Compiled 166 to 80 computations (51.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite195.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`rational.json-simplify-47`
698×	`rational.json-5`
696×	`exponential.json-3`
696×	`rational.json-1`
696×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	130
1	161	106
2	508	48
3	1633	48
4	6445	48

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify242.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1400×	`rational.json-simplify-47`
1176×	`rational.json-simplify-49`
1118×	`rational.json-simplify-2`
1100×	`rational.json-simplify-1`
888×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1691
1	193	1685
2	445	1685
3	1839	1673
4	6632	1673

Stop Event

1×	node limit

Counts

61 → 59

Calls

Call 1

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

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

localize120.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 198 to 110 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

-inf

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

0.0ms

inf

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

0.0ms

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

rewrite167.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`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	13	39
1	116	39
2	392	39
3	1568	39
4	7090	39

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify234.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1600×	`rational.json-simplify-49`
896×	`rational.json-simplify-2`
746×	`rational.json-simplify-41`
738×	`rational.json-simplify-111`
600×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	697
1	110	697
2	202	697
3	524	697
4	1760	697
5	5549	697

Stop Event

1×	node limit

Counts

19 → 26

Calls

Call 1

Inputs
1
(+.f64 (*.f64 2 (pow.f64 x 2)) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 7/3 (pow.f64 x 4))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 94/45 (pow.f64 x 6)) (*.f64 7/3 (pow.f64 x 4)))))
(+.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 0)
(+.f64 0 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(-.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(*.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 1)
(*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(.f64 (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(.f64 (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) 1))
(.f64 (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))
(.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2) (/.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (pow.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))
(/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 1)
(/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(neg.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))

Outputs
1
(+.f64 (*.f64 2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 7/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 7/3 (pow.f64 x 4)) (.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 7/3 (pow.f64 x 4))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 94/45 (pow.f64 x 6)) (*.f64 7/3 (pow.f64 x 4)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 7/3 (pow.f64 x 4)) (*.f64 94/45 (pow.f64 x 6)))))
(+.f64 (+.f64 1 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 7/3 (pow.f64 x 4)))) (*.f64 94/45 (pow.f64 x 6)))
(+.f64 1 (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 7/3 (pow.f64 x 4)) (*.f64 94/45 (pow.f64 x 6)))))
(+.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 0)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(+.f64 0 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(-.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 0)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(-.f64 0 (neg.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(*.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 1)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(.f64 (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(.f64 (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) 1))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(.f64 (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(.f64 (pow.f64 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2) (/.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (pow.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) 1)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(neg.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)

eval1.2s (4.4%)

Compiler: Compiled 80178 to 37310 computations (53.5% saved)

prune534.0ms (2%)

Pruning

47 alts after pruning (39 fresh and 8 done)

	Pruned	Kept	Total
New	1409	16	1425
Fresh	2	23	25
Picked	0	1	1
Done	2	7	9
Total	1413	47	1460

Error

0.0b

Counts

1460 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 1))
	0.6b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (.f64 (sin.f64 x) (sin.f64 x))) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.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)) 1))
✓	0.5b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 (.f64 (tan.f64 x) (tan.f64 x))))
	15.8b	(/.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (-.f64 1 (-.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 1)) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
	0.9b	(/.f64 (-.f64 1 (-.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 1)) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
	15.8b	(/.f64 (-.f64 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 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2) 1))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2) (pow.f64 (cos.f64 x) 2)) 1))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) 2) (pow.f64 (cos.f64 x) 2)) 1))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 (/.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x))) 2)) 1))
✓	0.4b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2))) 1))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
▶	0.7b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
▶	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) 1)))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
	0.9b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) 1)))
	0.8b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) -1) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))))
	0.5b	(/.f64 (+.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	28.6b	(/.f64 1 (-.f64 (-.f64 1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1))
	28.6b	(/.f64 1 (-.f64 (-.f64 0 (-.f64 -2 (*.f64 (tan.f64 x) (tan.f64 x)))) 1))
	31.8b	(/.f64 1 (+.f64 (pow.f64 x 2) 1))
	28.6b	(/.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
✓	28.6b	(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
▶	0.4b	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1)
▶	32.4b	(-.f64 1 (pow.f64 x 2))
	32.4b	(+.f64 (+.f64 1 (.f64 (pow.f64 x 2) -2)) (.f64 (pow.f64 x 4) 2/3))
✓	32.2b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
	0.5b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
✓	0.7b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
	0.8b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2))))
	0.7b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (.f64 (pow.f64 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 2) (/.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)) (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 2)))))
	0.9b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) 1))
✓	0.4b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))
	0.5b	(.f64 (/.f64 1 (/.f64 (+.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))
	0.5b	(.f64 (.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))))))
	28.8b	1

Compiler

Compiled 3678 to 2048 computations (44.3% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 106 to 40 computations (62.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite136.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1526×	`rational.json-simplify-47`
872×	`rational.json-simplify-58`
702×	`rational.json-simplify-55`
556×	`rational.json-5`
554×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	126
1	98	68
2	329	68
3	1190	68
4	5307	68

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify286.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1102×	`rational.json-simplify-2`
786×	`rational.json-simplify-104`
776×	`rational.json-simplify-111`
738×	`rational.json-simplify-47`
718×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	2889
1	306	2827
2	521	2827
3	1384	2815
4	3548	2815
5	7373	2815

Stop Event

1×	node limit

Counts

75 → 81

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 4)) 1))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 1 (*.f64 26/45 (pow.f64 x 6)))))
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (.f64 -1 (pow.f64 x 2))))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) 0)
(+.f64 0 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(-.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) 0)
(-.f64 0 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))) 1)
(/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) 1)
(/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(pow.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) 1)
(neg.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(fabs.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(fabs.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (fabs.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (neg.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
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(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
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(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
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Outputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
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(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 4)) 1))
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(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 26/45 (pow.f64 x 6)) (*.f64 -1/3 (pow.f64 x 4)))))
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(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
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(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
(pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)
1
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(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (fabs.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (fabs.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (fabs.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (fabs.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (fabs.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (.f64 (fabs.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 2))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1))) (fabs.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (fabs.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (fabs.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (neg.f64 (fabs.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)) (neg.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(.f64 (+.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 0 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 0 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) -1)
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (-.f64 2 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) -1)
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(pow.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(+.f64 1 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

localize9.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
✓	0.3b	(-.f64 -1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
✓	0.3b	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1)

Compiler

Compiled 98 to 42 computations (57.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite172.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`rational.json-simplify-47`
712×	`rational.json-simplify-54`
660×	`rational.json-simplify-1`
628×	`rational.json-simplify-50`
626×	`rational.json-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	112
1	141	100
2	429	100
3	1380	100
4	5397	100

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 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1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 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simplify345.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1538×	`rational.json-simplify-49`
1250×	`rational.json-simplify-2`
1136×	`rational.json-simplify-54`
652×	`rational.json-simplify-1`
526×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	5453
1	294	5453
2	753	5337
3	2296	5329
4	6401	5329

Stop Event

1×	node limit

Counts

83 → 89

Calls

Call 1

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

localize87.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
✓	0.2b	(.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))) 1))
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
	0.3b	(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 184 to 83 computations (54.9% saved)

series7.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

-inf

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

0.0ms

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

0.0ms

inf

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

rewrite158.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`rational.json-simplify-49`
1038×	`rational.json-simplify-47`
682×	`rational.json-simplify-1`
680×	`rational.json-5`
678×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	91
1	159	79
2	486	21
3	1578	21
4	6188	21

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))) 1))

Outputs

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

simplify235.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1062×	`rational.json-simplify-47`
1034×	`rational.json-simplify-43`
794×	`rational.json-simplify-1`
734×	`rational.json-simplify-54`
728×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	673
1	103	673
2	213	673
3	466	673
4	1189	673
5	3343	673
6	7392	673

Stop Event

1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

localize117.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (cos.f64 x) 2)
	0.3b	(*.f64 (tan.f64 x) (tan.f64 x))
	0.3b	(.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
✓	0.5b	(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)

Compiler

Compiled 214 to 102 computations (52.3% saved)

series2.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)

1.0ms

-inf

(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)

0.0ms

(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)

rewrite186.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`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	14	39
1	123	39
2	401	39
3	1576	39
4	7093	39

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)

Outputs

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

simplify231.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1600×	`rational.json-simplify-49`
896×	`rational.json-simplify-2`
738×	`rational.json-simplify-111`
738×	`rational.json-simplify-41`
614×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	697
1	111	697
2	202	697
3	517	697
4	1756	697
5	5560	697

Stop Event

1×	node limit

Counts

19 → 25

Calls

Call 1

Inputs
1
(+.f64 (*.f64 4 (pow.f64 x 2)) 1)
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 1 (.f64 26/3 (pow.f64 x 4))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 26/3 (pow.f64 x 4)) (*.f64 608/45 (pow.f64 x 6)))))
(+.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 0)
(+.f64 0 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))
(-.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 0)
(-.f64 0 (neg.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))
(*.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))
(*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 1)
(*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))
(.f64 (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4) (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))
(.f64 (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)) 1))
(.f64 (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4))
(.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)) (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 4) (/.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)) (pow.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4)))
(/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 1)
(/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))
(neg.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))

Outputs
1
(+.f64 (*.f64 4 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 1 (.f64 26/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 26/3 (pow.f64 x 4)) (.f64 4 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 26/3 (pow.f64 x 4))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 26/3 (pow.f64 x 4)) (*.f64 608/45 (pow.f64 x 6)))))
(+.f64 (.f64 608/45 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 4 (pow.f64 x 2)) (*.f64 26/3 (pow.f64 x 4)))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 26/3 (pow.f64 x 4)) (+.f64 1 (*.f64 608/45 (pow.f64 x 6)))))
(+.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 0)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(+.f64 0 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(-.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 0)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(-.f64 0 (neg.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(*.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 1)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(*.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(.f64 (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4) (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(.f64 (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)) 1))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(.f64 (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)) (pow.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(.f64 (pow.f64 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 4) (/.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)) (pow.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) 1)
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (/.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)
(neg.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))
(pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)

eval1.2s (4.3%)

Compiler: Compiled 53296 to 25816 computations (51.6% saved)

prune576.0ms (2.1%)

Pruning

44 alts after pruning (34 fresh and 10 done)

	Pruned	Kept	Total
New	1175	11	1186
Fresh	11	23	34
Picked	1	0	1
Done	2	10	12
Total	1189	44	1233

Error

0.0b

Counts

1233 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 1))
	0.5b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 (/.f64 1 (cos.f64 x)) (.f64 (cos.f64 x) (cos.f64 x))) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.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)) 1))
✓	0.5b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.7b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)))
	0.6b	(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.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 1 (.f64 (tan.f64 x) (tan.f64 x))))
	15.8b	(/.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 2) (pow.f64 (.f64 (sin.f64 x) (sin.f64 x)) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.9b	(/.f64 (-.f64 1 (-.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1) 1)) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
	15.8b	(/.f64 (-.f64 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 1 (*.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 2) 1))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2) (pow.f64 (cos.f64 x) 2)) 1))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) 2) (pow.f64 (cos.f64 x) 2)) 1))
✓	0.4b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) 2))) 1))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.8b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (pow.f64 (.f64 (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 4) (/.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 4)) (pow.f64 (*.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 4)))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
	0.5b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
✓	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) 1)))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
	0.9b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)))) 1) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) 1)))
	0.8b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (+.f64 (+.f64 1 (/.f64 1 (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) -1) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))
	0.4b	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (.f64 (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))))))))
	26.3b	(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
	0.5b	(/.f64 (+.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.6b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) -1)))) 1)) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
✓	0.4b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (.f64 (/.f64 1 (+.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2)) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.4b	(/.f64 (.f64 (/.f64 1 (.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	0.5b	(/.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) (.f64 (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
	31.8b	(/.f64 1 (+.f64 (pow.f64 x 2) 1))
	0.5b	(-.f64 (/.f64 1 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
	32.2b	(-.f64 (-.f64 0 (-.f64 (*.f64 2 (pow.f64 x 2)) 2)) 1)
✓	32.4b	(-.f64 1 (pow.f64 x 2))
	0.4b	(+.f64 (+.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) -1)
	32.4b	(+.f64 (+.f64 1 (.f64 (pow.f64 x 2) -2)) (.f64 (pow.f64 x 4) 2/3))
	0.5b	(+.f64 (+.f64 -1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))) 1)
✓	32.2b	(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
	0.5b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
✓	0.7b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2) (pow.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2)))
✓	0.4b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))
	0.5b	(.f64 (/.f64 1 (/.f64 (+.f64 (-.f64 -1 (.f64 (tan.f64 x) (tan.f64 x))) 2) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))) (.f64 (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (.f64 (tan.f64 x) (tan.f64 x)) 1))))
	28.8b	1

Compiler

Compiled 1620 to 928 computations (42.7% saved)

regimes247.0ms (0.9%)

Counts

65 → 1

Calls

Call 1

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

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

Calls

4 calls:

54.0ms	(tan.f64 x)
48.0ms	x
42.0ms	(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))
31.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(/.f64 (-.f64 1 (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (.f64 (tan.f64 x) (tan.f64 x))))`
0.3b	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
0.3b	1	`(tan.f64 x)`

Compiler

Compiled 2705 to 1334 computations (50.7% saved)

regimes47.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

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

Outputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) 1)

Calls

3 calls:

15.0ms	x
13.0ms	(tan.f64 x)
9.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Error	Segments	Branch
26.3b	1	`x`
26.3b	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
26.3b	1	`(tan.f64 x)`

Compiler

Compiled 163 to 116 computations (28.8% saved)

regimes25.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
1
(-.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
(-.f64 (-.f64 0 (-.f64 (*.f64 2 (pow.f64 x 2)) 2)) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

Outputs
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

Calls

3 calls:

8.0ms	x
8.0ms	(tan.f64 x)
6.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Error	Segments	Branch
28.6b	1	`x`
28.6b	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
28.6b	1	`(tan.f64 x)`

Compiler

Compiled 52 to 40 computations (23.1% saved)

regimes13.0ms (0%)

Accuracy

Total -3.9b remaining (-13.5%)

Threshold costs -3.9b (-13.5%)

Counts

5 → 1

Calls

Call 1

Inputs
1
(-.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
(-.f64 (-.f64 0 (-.f64 (*.f64 2 (pow.f64 x 2)) 2)) 1)

Outputs
1

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
28.8b	1	`x`

Compiler

Compiled 34 to 29 computations (14.7% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	102

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 38 to 24 computations (36.8% saved)

soundness0.0ms (0%)

end45.0ms (0.2%)

Compiler: Compiled 35 to 17 computations (51.4% saved)

Details

analyze216.0ms (0.8%)

sample1.6s (5.8%)

preprocess6.6s (24.3%)

simplify6.8s (25%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0%)

series8.0ms (0%)

rewrite152.0ms (0.6%)

simplify146.0ms (0.5%)

eval75.0ms (0.3%)

prune69.0ms (0.3%)

localize32.0ms (0.1%)

series4.0ms (0%)

rewrite151.0ms (0.6%)

simplify145.0ms (0.5%)

localize8.0ms (0%)

localize18.0ms (0.1%)

series2.0ms (0%)

rewrite177.0ms (0.7%)

simplify332.0ms (1.2%)

localize51.0ms (0.2%)

series8.0ms (0%)

rewrite182.0ms (0.7%)

simplify153.0ms (0.6%)

localize33.0ms (0.1%)

series4.0ms (0%)

rewrite172.0ms (0.6%)

simplify294.0ms (1.1%)

eval1.2s (4.6%)

prune471.0ms (1.7%)

localize86.0ms (0.3%)

series7.0ms (0%)

rewrite262.0ms (1%)

simplify349.0ms (1.3%)

localize16.0ms (0.1%)

series1.0ms (0%)

rewrite110.0ms (0.4%)

simplify221.0ms (0.8%)

localize51.0ms (0.2%)

localize85.0ms (0.3%)

series2.0ms (0%)

rewrite195.0ms (0.7%)

simplify242.0ms (0.9%)

localize120.0ms (0.4%)

series1.0ms (0%)

rewrite167.0ms (0.6%)

simplify234.0ms (0.9%)

eval1.2s (4.4%)

prune534.0ms (2%)

localize26.0ms (0.1%)

series1.0ms (0%)

rewrite136.0ms (0.5%)

simplify286.0ms (1.1%)

localize9.0ms (0%)

localize27.0ms (0.1%)

series3.0ms (0%)

rewrite172.0ms (0.6%)

simplify345.0ms (1.3%)

localize87.0ms (0.3%)

series7.0ms (0%)

rewrite158.0ms (0.6%)

simplify235.0ms (0.9%)

localize117.0ms (0.4%)

series2.0ms (0%)

rewrite186.0ms (0.7%)

simplify231.0ms (0.9%)

eval1.2s (4.3%)

prune576.0ms (2.1%)

regimes247.0ms (0.9%)

regimes47.0ms (0.2%)

regimes25.0ms (0.1%)

regimes13.0ms (0%)

simplify5.0ms (0%)

soundness0.0ms (0%)

end45.0ms (0.2%)

Profiling