Details

analyze472.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
21.4%	18.7%	68.7%	0.1%	0%	12.5%	0%	5
26.9%	21.9%	59.3%	0.1%	0%	18.7%	0%	6
33.3%	25%	50%	0.1%	0%	18.7%	6.2%	7
37%	26.5%	45.3%	0.1%	0%	21.9%	6.2%	8
43.9%	28.1%	35.9%	0.1%	2.3%	21.9%	11.7%	9
47.1%	28.9%	32.4%	0.1%	2.7%	23.4%	12.5%	10
53.3%	30.3%	26.5%	0.1%	4.1%	23.4%	15.5%	11
55.2%	30.7%	25%	0.1%	4.4%	24.2%	15.6%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample15.3s (37.2%)

Results

4.3s	2711×	body	1024	valid
3.5s	1467×	body	1024	invalid
2.2s	1781×	body	2048	valid
1.5s	2465×	body	256	valid
1.2s	1339×	body	256	invalid
895.0ms	1299×	body	512	valid
659.0ms	759×	body	512	invalid
378.0ms	763×	body	256	infinite
347.0ms	169×	body	1024	infinite
173.0ms	341×	body	256	unsamplable
128.0ms	247×	body	512	infinite
9.0ms	8×	body	2048	invalid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess4.0s (9.6%)

Algorithm

2×	egg-herbie

Rules

20084×	`rational.json-simplify-41`
2324×	`rational.json-simplify-1`
1296×	`rational.json-simplify-35`
4×	`rational.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	23	74
2	32	74
3	42	74
4	60	74
5	108	74
6	237	74
7	627	74
8	789	74
9	795	74
10	801	74
11	807	74
12	813	74
13	819	74
14	825	74
15	831	74
16	837	74
17	843	74
18	849	74
19	855	74
20	861	74
21	867	74
22	873	74
23	2554	74
24	2560	74
25	2566	74
26	2572	74
27	2578	74
28	2584	74
29	3387	74
30	3393	74
31	3399	74
32	3405	74
33	3411	74
34	3417	74
35	3423	74
36	3429	74
37	3435	74
38	3441	74
39	3447	74
40	3453	74
41	3459	74
42	3465	74
43	3471	74
44	3477	74
45	3483	74
46	3489	74
47	3495	74
48	3501	74
49	3507	74
50	3513	74
51	3519	74
52	3525	74
53	3531	74
54	3537	74
55	3543	74
56	3549	74
57	3555	74
58	3561	74
59	3567	74
60	3573	74
61	3579	74
62	3585	74
63	3591	74
64	3597	74
65	3603	74
66	3609	74
67	3615	74
68	3621	74
69	3627	74
70	3633	74
71	3639	74
72	3645	74
73	3651	74
74	3657	74
75	3663	74
76	3669	74
77	3675	74
78	3681	74
79	3687	74
80	3693	74
81	3699	74
82	3705	74
83	3711	74
84	3717	74
85	3723	74
86	3729	74
87	3735	74
88	3741	74
89	3747	74
90	3753	74
91	3759	74
92	3765	74
93	3771	74
94	3777	74
95	3783	74
96	3789	74
97	3795	74
98	3801	74
99	3807	74
100	3813	74
101	3819	74
102	3825	74
103	3831	74
104	3837	74
105	3843	74
106	3849	74
107	3855	74
108	3861	74
109	3867	74
110	3873	74
111	3879	74
112	3885	74
113	3891	74
114	3897	74
115	3903	74
116	3909	74
117	3915	74
118	3921	74
119	3927	74
120	3933	74
121	3939	74
122	3945	74
123	3951	74
124	3957	74
125	3963	74
126	3969	74
127	3975	74
128	3981	74
129	3987	74
130	3993	74
131	3999	74
132	4005	74
133	4011	74
134	4017	74
135	4023	74
136	4029	74
137	4035	74
138	4041	74
139	4047	74
140	4053	74
141	4059	74
142	4065	74
143	4071	74
144	4077	74
145	4083	74
146	4089	74
147	4095	74
148	4101	74
149	4107	74
150	4113	74
151	4119	74
152	4125	74
153	4131	74
154	4137	74
155	4143	74
156	4149	74
157	4155	74
158	4161	74
159	4167	74
160	4173	74
161	4179	74
162	4185	74
163	4191	74
164	4197	74
165	4203	74
166	4209	74
167	4215	74
168	4221	74
169	4227	74
170	4233	74
171	4239	74
172	4245	74
173	4251	74
174	4257	74
175	4263	74
176	4269	74
177	4275	74
178	4281	74
179	4287	74
180	4293	74
181	4299	74
182	4305	74
183	4311	74
184	4317	74
185	4323	74
186	4329	74
187	4335	74
188	4341	74
189	4347	74
190	4353	74
191	4359	74
192	4365	74
193	4371	74
194	4377	74
195	4383	74
196	4389	74
197	4395	74
198	4401	74
199	4407	74
200	4413	74
201	4419	74
202	4425	74
203	4431	74
204	4437	74
205	4443	74
206	4449	74
207	4455	74
208	4461	74
209	4467	74
210	4473	74
211	4479	74
212	4485	74
213	4491	74
214	4497	74
215	4503	74
216	4509	74
217	4515	74
218	4521	74
219	4527	74
220	4533	74
221	4539	74
222	4545	74
223	4551	74
224	4557	74
225	4563	74
226	4569	74
227	4575	74
228	4581	74
229	4587	74
230	4593	74
231	4599	74
232	4605	74
233	4611	74
234	4617	74
235	4623	74
236	4629	74
237	4635	74
238	4641	74
239	4647	74
240	4653	74
241	4659	74
242	4665	74
243	4671	74
244	4677	74
245	4683	74
246	4689	74
247	4695	74
248	4701	74
249	4707	74
250	4713	74
251	4719	74
252	4725	74
253	4731	74
254	4737	74
255	4743	74
256	4749	74
257	4755	74
258	4761	74
259	4767	74
260	4773	74
261	4779	74
262	4785	74
263	4791	74
264	4797	74
265	4803	74
266	4809	74
267	4815	74
268	4821	74
269	4827	74
270	4833	74
271	4839	74
272	4845	74
273	4851	74
274	4857	74
275	4863	74
276	4869	74
277	4875	74
278	4881	74
279	4887	74
280	4893	74
281	4899	74
282	4905	74
283	4911	74
284	4917	74
285	4923	74
286	4929	74
287	4935	74
288	4941	74
289	4947	74
290	4953	74
291	4959	74
292	4965	74
293	4971	74
294	4977	74
295	4983	74
296	4989	74
297	4995	74
298	5001	74
299	5007	74
300	5013	74
301	5019	74
302	5025	74
303	5031	74
304	5037	74
305	5043	74
306	5049	74
307	5055	74
308	5061	74
309	5067	74
310	5073	74
311	5079	74
312	5085	74
313	5091	74
314	5097	74
315	5103	74
316	5109	74
317	5115	74
318	5121	74
319	5127	74
320	5133	74
321	5139	74
322	5145	74
323	5151	74
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 n 1) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))

Outputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 n 1) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))
(-.f64 (pow.f64 (+.f64 1 n) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify681.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

10734×	`rational.json-simplify-41`
1136×	`rational.json-simplify-1`
328×	`rational.json-simplify-35`
2×	`rational.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	15	37
2	21	37
3	27	37
4	37	37
5	61	37
6	125	37
7	316	37
8	404	37
9	408	37
10	412	37
11	416	37
12	420	37
13	1367	37
14	1750	37
15	1754	37
16	1758	37
17	1762	37
18	1766	37
19	1770	37
20	1774	37
21	1778	37
22	1782	37
23	1786	37
24	1790	37
25	1794	37
26	1798	37
27	1802	37
28	1806	37
29	1810	37
30	1814	37
31	1818	37
32	1822	37
33	1826	37
34	1830	37
35	1834	37
36	1838	37
37	1842	37
38	1846	37
39	1850	37
40	1854	37
41	1858	37
42	1862	37
43	1866	37
44	1870	37
45	1874	37
46	1878	37
47	1882	37
48	1886	37
49	1890	37
50	1894	37
51	1898	37
52	1902	37
53	1906	37
54	1910	37
55	1914	37
56	1918	37
57	1922	37
58	1926	37
59	1930	37
60	1934	37
61	1938	37
62	1942	37
63	1946	37
64	1950	37
65	1954	37
66	1958	37
67	1962	37
68	1966	37
69	1970	37
70	1974	37
71	1978	37
72	1982	37
73	1986	37
74	1990	37
75	1994	37
76	1998	37
77	2002	37
78	2006	37
79	2010	37
80	2014	37
81	2018	37
82	2022	37
83	2026	37
84	2030	37
85	2034	37
86	2038	37
87	2042	37
88	2046	37
89	2050	37
90	2054	37
91	2058	37
92	2062	37
93	2066	37
94	2070	37
95	2074	37
96	2078	37
97	2082	37
98	2086	37
99	2090	37
100	2094	37
101	2098	37
102	2102	37
103	2106	37
104	2110	37
105	2114	37
106	2118	37
107	2122	37
108	2126	37
109	2130	37
110	2134	37
111	2138	37
112	2142	37
113	2146	37
114	2150	37
115	2154	37
116	2158	37
117	2162	37
118	2166	37
119	2170	37
120	2174	37
121	2178	37
122	2182	37
123	2186	37
124	2190	37
125	2194	37
126	2198	37
127	2202	37
128	2206	37
129	2210	37
130	2214	37
131	2218	37
132	2222	37
133	2226	37
134	2230	37
135	2234	37
136	2238	37
137	2242	37
138	2246	37
139	2250	37
140	2254	37
141	2258	37
142	2262	37
143	2266	37
144	2270	37
145	2274	37
146	2278	37
147	2282	37
148	2286	37
149	2290	37
150	2294	37
151	2298	37
152	2302	37
153	2306	37
154	2310	37
155	2314	37
156	2318	37
157	2322	37
158	2326	37
159	2330	37
160	2334	37
161	2338	37
162	2342	37
163	2346	37

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Outputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

eval0.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

34.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.5b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize98.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.8b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`rational.json-1`
1366×	`rational.json-2`
1366×	`rational.json-4`
1366×	`rational.json-3`
1362×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	76	37
2	180	37
3	373	37
4	748	37
5	1932	37
6	5272	37

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

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

Outputs

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

simplify206.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1794×	`rational.json-simplify-35`
1140×	`rational.json-simplify-2`
1044×	`rational.json-simplify-42`
774×	`rational.json-simplify-1`
772×	`rational.json-simplify-41`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	225	4758
1	501	4598
2	956	4568
3	2013	4274
4	3890	4274
5	4909	4258
6	5984	4254
7	7291	4254
8	7978	4254

Stop Event

1×	node limit

Counts

60 → 136

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4)))))
(/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))
(+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n))))) (pow.f64 x 4)) (/.f64 (exp.f64 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (.f64 n x)))))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n)))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))
(+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 0)
(+.f64 0 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))
(+.f64 -1 (-.f64 (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 -2 (-.f64 1 (+.f64 -1 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (+.f64 x 1) (/.f64 1 n)))
(+.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) -1)
(+.f64 (/.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) -2) (/.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) -2))
(+.f64 (-.f64 -1 (/.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) 2)) (-.f64 1 (/.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) 2)))
(*.f64 1 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 1)
(*.f64 2 (/.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) -2))
(.f64 2 (-.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1/2) (*.f64 (pow.f64 x (/.f64 1 n)) 1/2)))
(*.f64 -1 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(*.f64 4 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 4))
(.f64 (.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 2) 1/2)
(*.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) -1)
(.f64 (.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 2))
(.f64 1/2 (-.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2) (*.f64 (pow.f64 x (/.f64 1 n)) 2)))
(.f64 1/4 (.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 4))
(*.f64 (/.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) -2) 2)
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 4) 4)
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 1)
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 2) 2)
(/.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) -1)
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 4) 4)
(/.f64 (*.f64 2 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n)))) -2)
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 8) 8)
(/.f64 (*.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 8)) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))))) 2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 8))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n)))))) 4)
(pow.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 1)
(neg.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))))

Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (+.f64 1 (.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (pow.f64 x 2))) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))))
(+.f64 1 (+.f64 (/.f64 x n) (-.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))) (exp.f64 (/.f64 (log.f64 x) n)))))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (+.f64 1 (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (/.f64 x n))) (-.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (-.f64 (.f64 (/.f64 1 n) 1/3) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (+.f64 (+.f64 1 (.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (pow.f64 x 2))) (.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (-.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3))) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (+.f64 1 (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (pow.f64 x 2))) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))) (.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)))
(+.f64 (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))) (exp.f64 (/.f64 (log.f64 x) n))))) (.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (-.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))) (exp.f64 (/.f64 (log.f64 x) n))))))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n))
(/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)))
(+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (.f64 (*.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (.f64 1/2 (*.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 1/2 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (/.f64 (/.f64 1/2 (pow.f64 x 2)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (-.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 3)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (+.f64 (.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))) (.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (-.f64 (.f64 (/.f64 1 n) 1/3) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2)))) (.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 3))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (/.f64 1/2 (pow.f64 x 2))))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (/.f64 1/2 (pow.f64 x 2))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x)) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 n 3))) (.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))) (+.f64 (/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (-.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (+.f64 (.f64 (/.f64 1 (pow.f64 n 3)) 1/4) (.f64 (/.f64 1 n) 1/4))))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (-.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 3))))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (+.f64 (+.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (-.f64 (.f64 (/.f64 1 n) 1/3) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 3))) (.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (-.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3)))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 4)))) (.f64 (*.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 x n)) (+.f64 (.f64 (.f64 1/2 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))) (.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 11/24) (-.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3)))))) (pow.f64 x 4)) (/.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3))))))
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(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(.f64 1/2 (-.f64 (.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 2) (*.f64 (pow.f64 x (/.f64 1 n)) 2)))
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(.f64 1/4 (.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 4))
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) -2) 2)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 4) 4)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 1)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 2) 2)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) -1)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 4) 4)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (*.f64 2 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n)))) -2)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 8) 8)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (*.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))) 4) -4)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (.f64 2 (.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 8)) 16)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (neg.f64 (*.f64 2 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))))) 2)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 8))) 32)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n)))))) 4)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) 1)
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(neg.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 1 n))))
(+.f64 (pow.f64 (-.f64 x -1) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

eval634.0ms (1.5%)

Compiler: Compiled 6048 to 4581 computations (24.3% saved)

prune32.0ms (0.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	127	9	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	9	137

Error

1.0b

Counts

137 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.4b	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
▶	29.9b	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
▶	21.2b	(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 x -1)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
▶	44.0b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
▶	21.2b	(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (*.f64 1/2 (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
	37.0b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (/.f64 (/.f64 1/2 (pow.f64 x 2)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))))
	37.5b	(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (/.f64 1/2 (pow.f64 x 2))))))
	21.3b	(+.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 -1 n))) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
	51.4b	(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))

Compiler

Compiled 512 to 390 computations (23.8% saved)

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
✓	1.7b	(log.f64 (-.f64 x -1))
✓	2.4b	(-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))

Compiler

Compiled 30 to 18 computations (40% saved)

series131.0ms (0.3%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
120.0ms	n	@	0	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
9.0ms	n	@	inf	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
0.0ms	x	@	-inf	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
0.0ms	n	@	-inf	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
0.0ms	x	@	inf	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)

rewrite109.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`rational.json-1`
1382×	`rational.json-2`
1382×	`rational.json-3`
1378×	`rational.json-4`
1370×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	75	59
2	176	59
3	401	59
4	967	59
5	3675	59

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

Inputs
(-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))
(log.f64 (-.f64 x -1))
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)

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

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

simplify250.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1366×	`rational.json-simplify-35`
1174×	`rational.json-simplify-2`
1132×	`rational.json-simplify-38`
740×	`rational.json-simplify-50`
724×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	305	7030
1	645	7006
2	1878	6550
3	3832	6526
4	5612	6436
5	6946	6436

Stop Event

1×	node limit

Counts

180 → 256

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(+.f64 -1 (+.f64 (log.f64 (+.f64 x 1)) (-.f64 1 (log.f64 x))))
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(+.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 0)
(+.f64 0 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 x 1)))
(+.f64 (+.f64 (log.f64 (+.f64 x 1)) (-.f64 1 (log.f64 x))) -1)
(+.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2))
(*.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1)
(*.f64 1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -2) 1/2)
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) 1/4)
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -1)
(*.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8) 1/8)
(.f64 1/2 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -2))
(.f64 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) -1/2)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))
(.f64 -1/2 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) 4)
(.f64 1/8 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1)
(/.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -2) 2)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) 4)
(/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8) 8)
(/.f64 (*.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8)) 16)
(/.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4) -4)
(/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4)) 4)
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1)
(neg.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))
(+.f64 (log.f64 (+.f64 x 1)) 0)
(+.f64 0 (log.f64 (+.f64 x 1)))
(+.f64 (.f64 (log.f64 (+.f64 x 1)) 1/2) (.f64 (log.f64 (+.f64 x 1)) 1/2))
(-.f64 (log.f64 (+.f64 x 1)) 0)
(*.f64 (log.f64 (+.f64 x 1)) 1)
(*.f64 1 (log.f64 (+.f64 x 1)))
(.f64 2 (.f64 (log.f64 (+.f64 x 1)) 1/2))
(.f64 (.f64 (log.f64 (+.f64 x 1)) 2) 1/2)
(*.f64 4 (/.f64 (log.f64 (+.f64 x 1)) 4))
(.f64 (.f64 (log.f64 (+.f64 x 1)) 4) 1/4)
(.f64 1/2 (.f64 (log.f64 (+.f64 x 1)) 2))
(.f64 (.f64 (log.f64 (+.f64 x 1)) 1/2) 2)
(.f64 1/4 (.f64 (log.f64 (+.f64 x 1)) 4))
(*.f64 (/.f64 (log.f64 (+.f64 x 1)) 4) 4)
(/.f64 (log.f64 (+.f64 x 1)) 1)
(/.f64 (*.f64 (log.f64 (+.f64 x 1)) 2) 2)
(/.f64 (*.f64 (log.f64 (+.f64 x 1)) 4) 4)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 x 1)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (+.f64 x 1)) 4))) 16)
(pow.f64 (log.f64 (+.f64 x 1)) 1)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n)))
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 0)
(+.f64 0 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(+.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (.f64 n -2)) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (.f64 n -2)))
(-.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 0)
(-.f64 0 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(-.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (*.f64 n -2)) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (+.f64 n n)))
(-.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (*.f64 n -2)) (/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) 2))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(.f64 -1 (/.f64 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (+.f64 n n)))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 1 n))
(.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (.f64 1/2 (*.f64 2 (/.f64 1 n))))
(.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (.f64 1/2 (/.f64 2 n)))
(.f64 n (/.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 1)
(*.f64 1 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -2) (/.f64 1/2 n))
(.f64 2 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (.f64 n -2)))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 2 n)) 1/2)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) (/.f64 1 (*.f64 n 4)))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) (*.f64 (/.f64 1 n) 1/4))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 n)))
(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(*.f64 (/.f64 1 n) (/.f64 -1 (/.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 -1 n))
(.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 1 (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
(.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 2 (.f64 2 (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))))
(.f64 (/.f64 (.f64 n -2) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (/.f64 1 (.f64 2 (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))))
(.f64 (/.f64 (.f64 n -2) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (/.f64 1/2 (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
(.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (.f64 n 4)))
(*.f64 4 (/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 4))
(.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) n) 1/4)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8) (/.f64 1 (*.f64 n 8)))
(.f64 1/2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 2 n)))
(.f64 (/.f64 1/2 n) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -2))
(.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (/.f64 n (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
(.f64 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (/.f64 -1/2 n))
(.f64 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (/.f64 1 (*.f64 n -2)))
(.f64 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 n n)))
(.f64 (.f64 2 (/.f64 1 n)) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2))
(*.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) -1)
(.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (.f64 n -2)) 2)
(.f64 (/.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (+.f64 n n) (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
(.f64 (/.f64 2 n) (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2))
(.f64 (/.f64 n (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -2)) (/.f64 2 (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
(.f64 (/.f64 1 (.f64 n 4)) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))
(*.f64 (/.f64 -1 n) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))
(.f64 (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 n (.f64 2 (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (*.f64 2 (/.f64 1 n)))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (/.f64 2 n))
(.f64 1/4 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) n))
(.f64 (/.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (/.f64 n (neg.f64 (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))))
(.f64 (.f64 (/.f64 1 n) 1/4) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 n))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 (.f64 1/2 (/.f64 2 n)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(*.f64 (/.f64 -1 (/.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))) (/.f64 1 n))
(.f64 (/.f64 n (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))) (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(.f64 (/.f64 1 (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))) (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(.f64 (/.f64 (+.f64 n n) (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))) (/.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(.f64 (/.f64 2 (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))) (/.f64 n (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -2)))
(.f64 (/.f64 n (neg.f64 (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))) (/.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(.f64 (/.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))) n)
(.f64 (/.f64 1 (.f64 2 (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))) (/.f64 (.f64 n -2) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(.f64 (/.f64 2 (.f64 2 (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))) (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(.f64 (/.f64 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (+.f64 n n)) -1)
(.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (.f64 n 4)) 4)
(.f64 (.f64 1/2 (/.f64 1/2 n)) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))
(.f64 (/.f64 -1/2 n) (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(.f64 (/.f64 1/2 (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))) (/.f64 (*.f64 n -2) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(.f64 (/.f64 n (.f64 2 (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))) (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 4) 4)
(.f64 (/.f64 1 (.f64 n 8)) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8))
(.f64 (/.f64 1 (.f64 n -2)) (*.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(.f64 (/.f64 -1 (+.f64 n n)) (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(pow.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 1)
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(neg.f64 (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
(neg.f64 (/.f64 (*.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (+.f64 n n)))

Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 x (neg.f64 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 x (+.f64 (neg.f64 (log.f64 x)) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 (log.f64 x))))
(+.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) (neg.f64 (log.f64 x)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(+.f64 (+.f64 x (+.f64 (neg.f64 (log.f64 x)) (.f64 -1/2 (pow.f64 x 2)))) (.f64 1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 (log.f64 x))) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))) (neg.f64 (log.f64 x))))
(+.f64 x (+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (neg.f64 (log.f64 x))) (.f64 -1/2 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x (*.f64 (pow.f64 x 4) -1/4))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (+.f64 x (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 4) -1/4)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (neg.f64 (log.f64 (/.f64 1 x)))))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1)))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 -1))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) n)) (/.f64 x n)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(+.f64 (/.f64 x n) (+.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))) (*.f64 1/3 (/.f64 (pow.f64 x 3) n))))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (+.f64 (/.f64 x n) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))) (.f64 1/3 (/.f64 (pow.f64 x 3) n))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) n)) (+.f64 (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (.f64 1/3 (/.f64 (pow.f64 x 3) n))))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) n)) (+.f64 (/.f64 x n) (.f64 1/3 (/.f64 (pow.f64 x 3) n)))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n))) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 4) n))))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 4) n))))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n))) (-.f64 (/.f64 1 (.f64 x n)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 4) n))))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 4) n))))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
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(.f64 n (/.f64 -1 (.f64 (/.f64 n (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))) (.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
(.f64 n (/.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))) (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))))))
(/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))))) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))
(neg.f64 (/.f64 (*.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (+.f64 n n)))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)

localize73.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 x) n)
✓	5.6b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series101.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
73.0ms	x	@	-inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
20.0ms	x	@	0	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
6.0ms	x	@	inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
0.0ms	n	@	inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
0.0ms	n	@	0	(/.f64 (log.f64 x) n)

rewrite154.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`rational.json-1`
1362×	`rational.json-2`
1362×	`rational.json-3`
1346×	`rational.json-4`
1338×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	74	32
2	178	32
3	402	32
4	959	32
5	3676	32

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (log.f64 x) n)

Outputs

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

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

simplify133.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1214×	`rational.json-simplify-2`
980×	`rational.json-simplify-1`
940×	`rational.json-simplify-51`
872×	`rational.json-simplify-55`
842×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	235	2777
1	476	2697
2	1178	2697
3	4152	2697
4	7472	2697

Stop Event

1×	node limit

Counts

131 → 141

Calls

Call 1

Inputs
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(+.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 0)
(+.f64 0 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 -1 (neg.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -2)))
(+.f64 (neg.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -2)) -1)
(+.f64 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1/2) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1/2))
(*.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(*.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1)
(.f64 2 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1/2))
(*.f64 4 (/.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4))
(.f64 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) 1/2)
(*.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -1) -1)
(*.f64 -1 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -1))
(.f64 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2))
(.f64 1/4 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4))
(.f64 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1/2) 2)
(*.f64 (/.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) 4)
(/.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1)
(/.f64 (*.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) 2)
(/.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -1) -1)
(/.f64 (*.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) 4)
(/.f64 (*.f64 2 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -1)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4))) 16)
(/.f64 (neg.f64 (*.f64 2 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -1))) 2)
(pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1)
(neg.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(+.f64 0 (/.f64 (log.f64 x) n))
(+.f64 -1 (-.f64 1 (/.f64 (log.f64 x) (neg.f64 n))))
(+.f64 (.f64 (log.f64 x) (/.f64 1/2 n)) (.f64 (log.f64 x) (/.f64 1/2 n)))
(-.f64 (/.f64 (log.f64 x) n) 0)
(-.f64 0 (/.f64 (log.f64 x) (neg.f64 n)))
(*.f64 1 (/.f64 (log.f64 x) n))
(*.f64 (log.f64 x) (/.f64 1 n))
(.f64 (log.f64 x) (.f64 1/2 (*.f64 2 (/.f64 1 n))))
(.f64 (log.f64 x) (.f64 1/2 (/.f64 2 n)))
(.f64 n (/.f64 (/.f64 1 (log.f64 x)) (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(*.f64 (/.f64 (log.f64 x) n) 1)
(.f64 (.f64 (log.f64 x) 2) (/.f64 1/2 n))
(.f64 2 (.f64 (log.f64 x) (/.f64 1/2 n)))
(*.f64 2 (log.f64 (pow.f64 x (/.f64 1/2 n))))
(.f64 (.f64 (log.f64 x) (/.f64 2 n)) 1/2)
(.f64 (.f64 (log.f64 x) 4) (/.f64 1 (*.f64 n 4)))
(.f64 (.f64 (log.f64 x) 4) (*.f64 (/.f64 1 n) 1/4))
(.f64 (.f64 (log.f64 x) 4) (*.f64 1/2 (/.f64 1/2 n)))
(.f64 4 (/.f64 (log.f64 x) (.f64 n 4)))
(*.f64 4 (/.f64 (/.f64 (log.f64 x) n) 4))
(*.f64 (/.f64 1 n) (log.f64 x))
(*.f64 (/.f64 1 n) (/.f64 1 (/.f64 1 (log.f64 x))))
(*.f64 (neg.f64 (log.f64 x)) (/.f64 -1 n))
(.f64 (/.f64 n (log.f64 x)) (/.f64 1 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(.f64 (/.f64 n (log.f64 x)) (/.f64 2 (.f64 (/.f64 n (log.f64 x)) (/.f64 n (*.f64 (log.f64 x) 1/2)))))
(*.f64 -1 (/.f64 (log.f64 x) (neg.f64 n)))
(.f64 -1 (/.f64 (.f64 (log.f64 x) -2) (+.f64 n n)))
(.f64 (/.f64 n (.f64 (log.f64 x) 1/2)) (/.f64 1 (.f64 (/.f64 n (log.f64 x)) (/.f64 n (.f64 (log.f64 x) 1/2)))))
(.f64 (/.f64 n (.f64 (log.f64 x) 1/2)) (/.f64 1/2 (*.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(.f64 (.f64 (/.f64 (log.f64 x) n) 4) 1/4)
(.f64 (.f64 (log.f64 x) 8) (/.f64 1 (*.f64 n 8)))
(.f64 1/2 (.f64 (log.f64 x) (/.f64 2 n)))
(.f64 (/.f64 1/2 n) (.f64 (log.f64 x) 2))
(.f64 (/.f64 1 (log.f64 x)) (/.f64 n (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(.f64 (.f64 (log.f64 x) -2) (/.f64 -1/2 n))
(.f64 (.f64 (log.f64 x) -2) (/.f64 1 (*.f64 n -2)))
(.f64 (.f64 (log.f64 x) -2) (/.f64 -1 (+.f64 n n)))
(.f64 (.f64 2 (/.f64 1 n)) (*.f64 (log.f64 x) 1/2))
(*.f64 (/.f64 (log.f64 x) (neg.f64 n)) -1)
(.f64 (.f64 (log.f64 x) (/.f64 1/2 n)) 2)
(.f64 (/.f64 2 n) (.f64 (log.f64 x) 1/2))
(.f64 (/.f64 1/2 (log.f64 x)) (/.f64 (+.f64 n n) (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(.f64 (/.f64 n (.f64 (log.f64 x) 2)) (/.f64 2 (*.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(.f64 1/4 (.f64 (/.f64 (log.f64 x) n) 4))
(.f64 (/.f64 1 (.f64 n 4)) (*.f64 (log.f64 x) 4))
(*.f64 (/.f64 -1 n) (neg.f64 (log.f64 x)))
(.f64 (/.f64 2 (log.f64 x)) (/.f64 n (.f64 (/.f64 n (log.f64 x)) (/.f64 n (*.f64 (log.f64 x) 1/2)))))
(.f64 (.f64 (log.f64 x) 1/2) (*.f64 2 (/.f64 1 n)))
(.f64 (.f64 (log.f64 x) 1/2) (/.f64 2 n))
(.f64 (/.f64 -1 (log.f64 x)) (/.f64 n (neg.f64 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x))))))
(.f64 (.f64 (/.f64 1 n) 1/4) (*.f64 (log.f64 x) 4))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 n))) (log.f64 x))
(.f64 (.f64 1/2 (/.f64 2 n)) (log.f64 x))
(.f64 (.f64 1/2 (/.f64 1/2 n)) (*.f64 (log.f64 x) 4))
(*.f64 (/.f64 1 (/.f64 1 (log.f64 x))) (/.f64 1 n))
(.f64 (/.f64 1 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))) (/.f64 n (log.f64 x)))
(.f64 (/.f64 n (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))) (/.f64 1 (log.f64 x)))
(.f64 (/.f64 (+.f64 n n) (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))) (/.f64 1/2 (log.f64 x)))
(.f64 (/.f64 2 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))) (/.f64 n (*.f64 (log.f64 x) 2)))
(.f64 (/.f64 n (neg.f64 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x))))) (/.f64 -1 (log.f64 x)))
(.f64 (/.f64 (/.f64 1 (log.f64 x)) (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))) n)
(.f64 (/.f64 1 (.f64 (/.f64 n (log.f64 x)) (/.f64 n (.f64 (log.f64 x) 1/2)))) (/.f64 n (.f64 (log.f64 x) 1/2)))
(.f64 (/.f64 2 (.f64 (/.f64 n (log.f64 x)) (/.f64 n (*.f64 (log.f64 x) 1/2)))) (/.f64 n (log.f64 x)))
(.f64 (/.f64 (.f64 (log.f64 x) -2) (+.f64 n n)) -1)
(.f64 (/.f64 (log.f64 x) (.f64 n 4)) 4)
(.f64 (/.f64 -1/2 n) (.f64 (log.f64 x) -2))
(.f64 (/.f64 1/2 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))) (/.f64 n (*.f64 (log.f64 x) 1/2)))
(.f64 (/.f64 n (.f64 (/.f64 n (log.f64 x)) (/.f64 n (*.f64 (log.f64 x) 1/2)))) (/.f64 2 (log.f64 x)))
(*.f64 (/.f64 (/.f64 (log.f64 x) n) 4) 4)
(.f64 (/.f64 1 (.f64 n 8)) (*.f64 (log.f64 x) 8))
(.f64 (/.f64 1 (.f64 n -2)) (*.f64 (log.f64 x) -2))
(.f64 (/.f64 -1 (+.f64 n n)) (.f64 (log.f64 x) -2))
(*.f64 (log.f64 (pow.f64 x (/.f64 1/2 n))) 2)
(pow.f64 (/.f64 (log.f64 x) n) 1)
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n)))
(neg.f64 (/.f64 (/.f64 n (neg.f64 (log.f64 x))) (*.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(neg.f64 (/.f64 (*.f64 (log.f64 x) -2) (+.f64 n n)))
(log.f64 (pow.f64 x (/.f64 1 n)))
(log.f64 (pow.f64 (pow.f64 x 2) (/.f64 1/2 n)))

Outputs
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(*.f64 -1 (/.f64 (log.f64 x) n))
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(/.f64 (log.f64 x) (neg.f64 n))
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(*.f64 -1 (/.f64 (log.f64 x) n))
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(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
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(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(+.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 0)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 0 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
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(-.f64 -1 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -2))
(+.f64 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1/2) (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1/2))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(.f64 2 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1/2))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 4 (/.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(.f64 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) 1/2)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -1) -1)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 -1 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -1))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(.f64 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) 1/4)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(.f64 1/2 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(.f64 1/4 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(.f64 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1/2) 2)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) 4)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (*.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) 2)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -1) -1)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (*.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) 4)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (*.f64 2 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -1)) -2)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4)) 8)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4))) 16)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (neg.f64 (*.f64 2 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -1))) 2)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(pow.f64 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 1)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) -1))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(+.f64 0 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(+.f64 -1 (-.f64 1 (/.f64 (log.f64 x) (neg.f64 n))))
(/.f64 (log.f64 x) n)
(+.f64 (.f64 (log.f64 x) (/.f64 1/2 n)) (.f64 (log.f64 x) (/.f64 1/2 n)))
(/.f64 (log.f64 x) n)
(-.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(-.f64 0 (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 (log.f64 x) n)
(*.f64 1 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(*.f64 (log.f64 x) (/.f64 1 n))
(/.f64 (log.f64 x) n)
(.f64 (log.f64 x) (.f64 1/2 (*.f64 2 (/.f64 1 n))))
(/.f64 (log.f64 x) n)
(.f64 (log.f64 x) (.f64 1/2 (/.f64 2 n)))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 x)))
(.f64 n (/.f64 (/.f64 1 (log.f64 x)) (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 (log.f64 x) n) 1)
(/.f64 (log.f64 x) n)
(.f64 (.f64 (log.f64 x) 2) (/.f64 1/2 n))
(/.f64 (log.f64 x) n)
(.f64 2 (.f64 (log.f64 x) (/.f64 1/2 n)))
(/.f64 (log.f64 x) n)
(*.f64 2 (log.f64 (pow.f64 x (/.f64 1/2 n))))
(*.f64 (/.f64 1/2 n) (log.f64 (pow.f64 x 2)))
(.f64 (.f64 (log.f64 x) (/.f64 2 n)) 1/2)
(.f64 (log.f64 x) (.f64 1/2 (/.f64 2 n)))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 x)))
(.f64 (.f64 (log.f64 x) 4) (/.f64 1 (*.f64 n 4)))
(/.f64 (log.f64 x) n)
(.f64 (.f64 (log.f64 x) 4) (*.f64 (/.f64 1 n) 1/4))
(/.f64 (log.f64 x) n)
(.f64 (.f64 (log.f64 x) 4) (*.f64 1/2 (/.f64 1/2 n)))
(/.f64 (log.f64 x) n)
(.f64 4 (/.f64 (log.f64 x) (.f64 n 4)))
(/.f64 (log.f64 x) n)
(*.f64 4 (/.f64 (/.f64 (log.f64 x) n) 4))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 1 n) (log.f64 x))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 1 n) (/.f64 1 (/.f64 1 (log.f64 x))))
(/.f64 (log.f64 x) n)
(*.f64 (neg.f64 (log.f64 x)) (/.f64 -1 n))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 n (log.f64 x)) (/.f64 1 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 n (log.f64 x)) (/.f64 2 (.f64 (/.f64 n (log.f64 x)) (/.f64 n (*.f64 (log.f64 x) 1/2)))))
(/.f64 (log.f64 x) n)
(*.f64 -1 (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 (log.f64 x) n)
(.f64 -1 (/.f64 (.f64 (log.f64 x) -2) (+.f64 n n)))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 n (.f64 (log.f64 x) 1/2)) (/.f64 1 (.f64 (/.f64 n (log.f64 x)) (/.f64 n (.f64 (log.f64 x) 1/2)))))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 n (.f64 (log.f64 x) 1/2)) (/.f64 1/2 (*.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(/.f64 (log.f64 x) n)
(.f64 (.f64 (/.f64 (log.f64 x) n) 4) 1/4)
(/.f64 (log.f64 x) n)
(.f64 (.f64 (log.f64 x) 8) (/.f64 1 (*.f64 n 8)))
(.f64 8 (.f64 (/.f64 1/8 n) (log.f64 x)))
(.f64 8 (.f64 (log.f64 x) (/.f64 1/8 n)))
(.f64 1/2 (.f64 (log.f64 x) (/.f64 2 n)))
(.f64 (log.f64 x) (.f64 1/2 (/.f64 2 n)))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 x)))
(.f64 (/.f64 1/2 n) (.f64 (log.f64 x) 2))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 1 (log.f64 x)) (/.f64 n (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(/.f64 (log.f64 x) n)
(.f64 (.f64 (log.f64 x) -2) (/.f64 -1/2 n))
(/.f64 (log.f64 x) n)
(.f64 (.f64 (log.f64 x) -2) (/.f64 1 (*.f64 n -2)))
(/.f64 (log.f64 x) n)
(.f64 (.f64 (log.f64 x) -2) (/.f64 -1 (+.f64 n n)))
(/.f64 (log.f64 x) n)
(.f64 (.f64 2 (/.f64 1 n)) (*.f64 (log.f64 x) 1/2))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 (log.f64 x) (neg.f64 n)) -1)
(/.f64 (log.f64 x) n)
(.f64 (.f64 (log.f64 x) (/.f64 1/2 n)) 2)
(/.f64 (log.f64 x) n)
(.f64 (/.f64 2 n) (.f64 (log.f64 x) 1/2))
(.f64 (log.f64 x) (.f64 1/2 (/.f64 2 n)))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 x)))
(.f64 (/.f64 1/2 (log.f64 x)) (/.f64 (+.f64 n n) (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 n (.f64 (log.f64 x) 2)) (/.f64 2 (*.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(*.f64 (/.f64 (/.f64 n (log.f64 x)) 2) (/.f64 (log.f64 x) (/.f64 (/.f64 n (log.f64 x)) (/.f64 2 n))))
(*.f64 (/.f64 (/.f64 2 n) (/.f64 (/.f64 n (log.f64 x)) (log.f64 x))) (/.f64 (/.f64 n (log.f64 x)) 2))
(/.f64 n (.f64 (.f64 (log.f64 x) 2) (/.f64 (/.f64 n (log.f64 x)) (*.f64 (log.f64 x) (/.f64 2 n)))))
(.f64 1/4 (.f64 (/.f64 (log.f64 x) n) 4))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 1 (.f64 n 4)) (*.f64 (log.f64 x) 4))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 -1 n) (neg.f64 (log.f64 x)))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 2 (log.f64 x)) (/.f64 n (.f64 (/.f64 n (log.f64 x)) (/.f64 n (*.f64 (log.f64 x) 1/2)))))
(/.f64 (log.f64 x) n)
(.f64 (.f64 (log.f64 x) 1/2) (*.f64 2 (/.f64 1 n)))
(/.f64 (log.f64 x) n)
(.f64 (.f64 (log.f64 x) 1/2) (/.f64 2 n))
(.f64 (log.f64 x) (.f64 1/2 (/.f64 2 n)))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 x)))
(.f64 (/.f64 -1 (log.f64 x)) (/.f64 n (neg.f64 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x))))))
(/.f64 (log.f64 x) n)
(.f64 (.f64 (/.f64 1 n) 1/4) (*.f64 (log.f64 x) 4))
(/.f64 (log.f64 x) n)
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 n))) (log.f64 x))
(/.f64 (log.f64 x) n)
(.f64 (.f64 1/2 (/.f64 2 n)) (log.f64 x))
(.f64 (log.f64 x) (.f64 1/2 (/.f64 2 n)))
(*.f64 (/.f64 2 n) (log.f64 (sqrt.f64 x)))
(.f64 (.f64 1/2 (/.f64 1/2 n)) (*.f64 (log.f64 x) 4))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 1 (/.f64 1 (log.f64 x))) (/.f64 1 n))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 1 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))) (/.f64 n (log.f64 x)))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 n (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))) (/.f64 1 (log.f64 x)))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 (+.f64 n n) (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))) (/.f64 1/2 (log.f64 x)))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 2 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))) (/.f64 n (*.f64 (log.f64 x) 2)))
(.f64 (/.f64 n (.f64 (log.f64 x) 2)) (/.f64 2 (*.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(*.f64 (/.f64 (/.f64 n (log.f64 x)) 2) (/.f64 (log.f64 x) (/.f64 (/.f64 n (log.f64 x)) (/.f64 2 n))))
(*.f64 (/.f64 (/.f64 2 n) (/.f64 (/.f64 n (log.f64 x)) (log.f64 x))) (/.f64 (/.f64 n (log.f64 x)) 2))
(/.f64 n (.f64 (.f64 (log.f64 x) 2) (/.f64 (/.f64 n (log.f64 x)) (*.f64 (log.f64 x) (/.f64 2 n)))))
(.f64 (/.f64 n (neg.f64 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x))))) (/.f64 -1 (log.f64 x)))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 (/.f64 1 (log.f64 x)) (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))) n)
(/.f64 (log.f64 x) n)
(.f64 (/.f64 1 (.f64 (/.f64 n (log.f64 x)) (/.f64 n (.f64 (log.f64 x) 1/2)))) (/.f64 n (.f64 (log.f64 x) 1/2)))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 2 (.f64 (/.f64 n (log.f64 x)) (/.f64 n (*.f64 (log.f64 x) 1/2)))) (/.f64 n (log.f64 x)))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 (.f64 (log.f64 x) -2) (+.f64 n n)) -1)
(/.f64 (log.f64 x) n)
(.f64 (/.f64 (log.f64 x) (.f64 n 4)) 4)
(/.f64 (log.f64 x) n)
(.f64 (/.f64 -1/2 n) (.f64 (log.f64 x) -2))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 1/2 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))) (/.f64 n (*.f64 (log.f64 x) 1/2)))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 n (.f64 (/.f64 n (log.f64 x)) (/.f64 n (*.f64 (log.f64 x) 1/2)))) (/.f64 2 (log.f64 x)))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 (/.f64 (log.f64 x) n) 4) 4)
(/.f64 (log.f64 x) n)
(.f64 (/.f64 1 (.f64 n 8)) (*.f64 (log.f64 x) 8))
(.f64 (.f64 (log.f64 x) 8) (/.f64 1 (*.f64 n 8)))
(.f64 8 (.f64 (/.f64 1/8 n) (log.f64 x)))
(.f64 8 (.f64 (log.f64 x) (/.f64 1/8 n)))
(.f64 (/.f64 1 (.f64 n -2)) (*.f64 (log.f64 x) -2))
(/.f64 (log.f64 x) n)
(.f64 (/.f64 -1 (+.f64 n n)) (.f64 (log.f64 x) -2))
(/.f64 (log.f64 x) n)
(*.f64 (log.f64 (pow.f64 x (/.f64 1/2 n))) 2)
(*.f64 (/.f64 1/2 n) (log.f64 (pow.f64 x 2)))
(*.f64 2 (log.f64 (pow.f64 x (/.f64 1/2 n))))
(pow.f64 (/.f64 (log.f64 x) n) 1)
(/.f64 (log.f64 x) n)
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 (log.f64 x) n)
(neg.f64 (/.f64 (/.f64 n (neg.f64 (log.f64 x))) (*.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))
(/.f64 (log.f64 x) n)
(neg.f64 (/.f64 (*.f64 (log.f64 x) -2) (+.f64 n n)))
(/.f64 (log.f64 x) n)
(log.f64 (pow.f64 x (/.f64 1 n)))
(log.f64 (pow.f64 (pow.f64 x 2) (/.f64 1/2 n)))
(log.f64 (pow.f64 x (*.f64 2 (/.f64 1/2 n))))

localize86.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 1 x))
✓	0.3b	(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
✓	2.7b	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))

Compiler

Compiled 44 to 25 computations (43.2% saved)

series197.0ms (0.5%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
176.0ms	x	@	-inf	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
11.0ms	n	@	0	(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
4.0ms	x	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
4.0ms	n	@	inf	(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
1.0ms	x	@	0	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))

rewrite145.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`rational.json-1`
1870×	`rational.json-2`
1870×	`rational.json-3`
1036×	`exponential.json-3`
1036×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	105	69
2	291	69
3	853	69
4	2973	69
5	6820	69

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs
(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(log.f64 (/.f64 1 x))

Outputs

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

simplify274.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1596×	`rational.json-simplify-51`
1200×	`rational.json-simplify-61`
954×	`rational.json-simplify-43`
884×	`rational.json-simplify-35`
838×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	4767
1	456	4729
2	1299	4705
3	4192	4705

Stop Event

1×	node limit

Counts

159 → 149

Calls

Call 1

Inputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 n x))
(/.f64 1 (*.f64 n x))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x)))
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(/.f64 1 (*.f64 n x))
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(/.f64 (log.f64 x) n)
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(/.f64 (log.f64 x) n)
(/.f64 (log.f64 x) n)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (log.f64 x))
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(.f64 -1 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 n (neg.f64 x))))
(.f64 (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) 2) (/.f64 1/2 (*.f64 x n)))
(.f64 (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) 2) (.f64 (/.f64 1 (.f64 x n)) 1/2))
(.f64 2 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x (+.f64 n n))))
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Outputs
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(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 1 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (log.f64 (/.f64 1 x)) (/.f64 -1 n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 1)
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(.f64 2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n -2)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 2 (/.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 2))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(.f64 2 (.f64 (/.f64 -1/2 n) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 2 (log.f64 (pow.f64 (/.f64 1 x) (/.f64 -1/2 n))))
(.f64 (.f64 (log.f64 (/.f64 1 x)) 2) (/.f64 -1/2 n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(.f64 (.f64 (log.f64 (/.f64 1 x)) 2) (*.f64 (/.f64 -1 n) 1/2))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(.f64 (.f64 (log.f64 (/.f64 1 x)) (/.f64 -2 n)) 1/2)
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(.f64 (.f64 (log.f64 (/.f64 1 x)) 4) (/.f64 1 (*.f64 n -4)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (/.f64 (log.f64 (/.f64 1 x)) n) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 1 x)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 1 n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(.f64 1/2 (.f64 (log.f64 (/.f64 1 x)) (/.f64 -2 n)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(.f64 (/.f64 -1/2 n) (.f64 (log.f64 (/.f64 1 x)) 2))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(.f64 (.f64 (/.f64 -1 n) 1/2) (*.f64 (log.f64 (/.f64 1 x)) 2))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 n -2)) 2)
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 2) 2)
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(.f64 (/.f64 1 (.f64 n -4)) (*.f64 (log.f64 (/.f64 1 x)) 4))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(*.f64 (+.f64 (/.f64 -1/2 n) (/.f64 -1/2 n)) (log.f64 (/.f64 1 x)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(pow.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n)) 1)
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))
(log.f64 (pow.f64 (/.f64 1 x) (/.f64 -1 n)))
(log.f64 (pow.f64 (pow.f64 (/.f64 1 x) 2) (/.f64 -1/2 n)))
(log.f64 (pow.f64 (/.f64 1 x) (*.f64 2 (/.f64 -1/2 n))))
(+.f64 (log.f64 (/.f64 1 x)) 0)
(log.f64 (/.f64 1 x))
(+.f64 0 (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 1 x))
(-.f64 (log.f64 (/.f64 1 x)) 0)
(log.f64 (/.f64 1 x))
(-.f64 0 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(*.f64 1 (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(*.f64 (log.f64 (/.f64 1 x)) 1)
(log.f64 (/.f64 1 x))
(*.f64 -1 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(*.f64 2 (/.f64 (log.f64 (/.f64 1 x)) 2))
(log.f64 (/.f64 1 x))
(*.f64 2 (log.f64 (pow.f64 (/.f64 1 x) 1/2)))
(log.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 2)))
(log.f64 (pow.f64 (sqrt.f64 (/.f64 1 x)) 2))
(.f64 (.f64 (log.f64 (/.f64 1 x)) 2) 1/2)
(log.f64 (/.f64 1 x))
(.f64 (.f64 (log.f64 (/.f64 1 x)) 4) 1/4)
(log.f64 (/.f64 1 x))
(*.f64 (neg.f64 (log.f64 (/.f64 1 x))) -1)
(log.f64 (/.f64 1 x))
(.f64 1/2 (.f64 (log.f64 (/.f64 1 x)) 2))
(log.f64 (/.f64 1 x))
(.f64 1/4 (.f64 (log.f64 (/.f64 1 x)) 4))
(log.f64 (/.f64 1 x))
(*.f64 (/.f64 (log.f64 (/.f64 1 x)) 2) 2)
(log.f64 (/.f64 1 x))
(/.f64 (log.f64 (/.f64 1 x)) 1)
(log.f64 (/.f64 1 x))
(/.f64 (*.f64 (log.f64 (/.f64 1 x)) 2) 2)
(log.f64 (/.f64 1 x))
(/.f64 (*.f64 (log.f64 (/.f64 1 x)) 4) 4)
(log.f64 (/.f64 1 x))
(/.f64 (neg.f64 (log.f64 (/.f64 1 x))) -1)
(log.f64 (/.f64 1 x))
(/.f64 (.f64 2 (.f64 (log.f64 (/.f64 1 x)) 4)) 8)
(log.f64 (/.f64 1 x))
(pow.f64 (log.f64 (/.f64 1 x)) 1)
(log.f64 (/.f64 1 x))
(neg.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))

localize891.0ms (2.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))
✓	1.7b	(log.f64 (+.f64 1 x))
✓	2.4b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
✓	7.2b	(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))

Compiler

Compiled 134 to 94 computations (29.9% saved)

series6.0ms (0%)

Counts

4 → 60

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))
1.0ms	n	@	0	(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))
1.0ms	x	@	inf	(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))
1.0ms	n	@	inf	(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))
1.0ms	x	@	0	(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))

rewrite88.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`rational.json-1`
1800×	`rational.json-2`
1800×	`rational.json-3`
1796×	`rational.json-4`
1782×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	118
1	120	118
2	265	118
3	601	112
4	1532	112
5	4920	112

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

Inputs
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))
(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))
(log.f64 (+.f64 1 x))
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))

Outputs
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simplify396.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1434×	`rational.json-simplify-35`
1146×	`rational.json-simplify-51`
950×	`rational.json-simplify-53`
916×	`rational.json-simplify-43`
668×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	335	7559
1	750	7363
2	1562	7349
3	3965	7345
4	6557	7345
5	7844	7345

Stop Event

1×	node limit

Counts

167 → 254

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 n 2))) (.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (.f64 11/12 (/.f64 (pow.f64 x 4) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 n 2))) (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))))
(.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x)))
(+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 2))) (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 2))) (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (.f64 11/12 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 4)))) (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 4))))))))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3))))
(.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) x)))
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(.f64 (.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 n 2))))
(*.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 (log.f64 (-.f64 x -1)) 2))
(*.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2)) (/.f64 -1 (pow.f64 n 2)))
(.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2)) (.f64 (/.f64 -1 (pow.f64 n 2)) 1))
(.f64 (/.f64 1/2 (pow.f64 n 2)) (.f64 2 (pow.f64 (log.f64 (-.f64 x -1)) 2)))
(.f64 1/2 (.f64 2 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2))))
(.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 1/2) (*.f64 2 (pow.f64 (log.f64 (-.f64 x -1)) 2)))
(*.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (neg.f64 (pow.f64 n 2))) -1)
(.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (.f64 2 (pow.f64 n 2))) 2)
(.f64 (/.f64 (/.f64 1 (pow.f64 n 2)) 4) (.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) 4))
(*.f64 (/.f64 -1 (pow.f64 n 2)) (neg.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2)))
(pow.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2)) 1)
(neg.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (neg.f64 (pow.f64 n 2))))

Outputs
(*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))
(/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (pow.f64 (log.f64 x) 2) (neg.f64 (pow.f64 n 2)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(+.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)) (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (neg.f64 (pow.f64 n 2))) (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 n 2))) (.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 n 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) (/.f64 (pow.f64 x 3) (pow.f64 n 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (neg.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) (/.f64 (pow.f64 x 3) (pow.f64 n 2)))))
(+.f64 (.f64 11/12 (/.f64 (pow.f64 x 4) (pow.f64 n 2))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 n 2))) (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (+.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 n 2)))) (*.f64 11/12 (/.f64 (pow.f64 x 4) (pow.f64 n 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (+.f64 (.f64 -1 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) (.f64 11/12 (/.f64 (pow.f64 x 4) (pow.f64 n 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (+.f64 (.f64 -1 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) (/.f64 (pow.f64 x 3) (pow.f64 n 2)))) (.f64 11/12 (/.f64 (pow.f64 x 4) (pow.f64 n 2)))))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (+.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) (/.f64 (pow.f64 x 3) (pow.f64 n 2)))) (*.f64 11/12 (/.f64 (pow.f64 x 4) (pow.f64 n 2)))))
(.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x)))
(.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 x (pow.f64 n 2))))
(+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 2))) (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 x (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 n x) 2)) (/.f64 1 (pow.f64 (.f64 n x) 2))))
(+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 x (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 x n) 2)) (/.f64 1 (pow.f64 (.f64 x n) 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 2))) (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2)))))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 n x) 2)) (+.f64 (/.f64 1 (pow.f64 (.f64 n x) 2)) (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))))) (-.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 x (pow.f64 n 2)))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3)))))
(+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 x (pow.f64 n 2)))) (-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 x n) 2)) (+.f64 (/.f64 1 (pow.f64 (.f64 x n) 2)) (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3)))))
(+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 x (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 x n) 2)) (-.f64 (+.f64 (/.f64 1 (pow.f64 (.f64 x n) 2)) (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3))))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3))))))
(+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 x (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 x n) 2)) (+.f64 (/.f64 1 (pow.f64 (.f64 x n) 2)) (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3)))))))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 x n) 2)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (.f64 x n) 2)) (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3))))) (-.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 x (pow.f64 n 2)))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3))))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (.f64 11/12 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 4)))) (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 4))))))))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 n x) 2)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (.f64 n x) 2)) (+.f64 (.f64 11/12 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 4)))) (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 4)))))) (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))))) (-.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 x (pow.f64 n 2)))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 4)))) (+.f64 (.f64 11/12 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 n 2))) (/.f64 1 (pow.f64 (.f64 x n) 2)))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 x n) 2)))) (-.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 x (pow.f64 n 2)))) (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 (.f64 11/12 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 4)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 4)))) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (.f64 x n) 2)))) (+.f64 (/.f64 1 (pow.f64 (.f64 x n) 2)) (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) (pow.f64 x 3)))))) (-.f64 (.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (.f64 x (pow.f64 n 2)))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3)))))
(.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) x)))
(.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 x (pow.f64 n 2))))
(.f64 2 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 x (pow.f64 n 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2))) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) x)))))
(+.f64 (/.f64 1 (pow.f64 (.f64 n x) 2)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 x (pow.f64 n 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 (*.f64 n x) 2)))))
(+.f64 (/.f64 1 (pow.f64 (.f64 x n) 2)) (+.f64 (.f64 2 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 x (pow.f64 n 2)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 (.f64 x n) 2)))))
(+.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 3))) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 n 2) x))))))
(+.f64 (/.f64 1 (pow.f64 (.f64 n x) 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 (.f64 n x) 2))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 x (pow.f64 n 2)))) (.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 3))))))
(+.f64 (/.f64 1 (pow.f64 (.f64 x n) 2)) (+.f64 (.f64 2 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 x (pow.f64 n 2)))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 3))) (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 (*.f64 x n) 2))))))
(+.f64 (/.f64 1 (pow.f64 (.f64 x n) 2)) (+.f64 (.f64 2 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 x (pow.f64 n 2)))) (.f64 -1 (+.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 (.f64 x n) 2)) (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 3))))))
(+.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 n 2) (pow.f64 x 4)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 3))) (+.f64 (.f64 11/12 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 4)))) (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) x))))))))
(+.f64 (/.f64 1 (pow.f64 (.f64 n x) 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 (.f64 n x) 2))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 n 2) (pow.f64 x 4)))) (+.f64 (.f64 11/12 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 x 4)))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 x (pow.f64 n 2)))) (.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 3))))))))
(+.f64 (/.f64 1 (pow.f64 (.f64 x n) 2)) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 (pow.f64 n 2) (pow.f64 x 4)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 (.f64 x n) 2))) (+.f64 (.f64 2 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 x (pow.f64 n 2)))) (+.f64 (.f64 11/12 (/.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 n 2))) (neg.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 3))))))))
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(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
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(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 2 (.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (/.f64 1/2 (pow.f64 n 2))))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 2 (.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2)) 1/2))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 2 (.f64 (/.f64 1/2 (pow.f64 n 2)) (pow.f64 (log.f64 (-.f64 x -1)) 2)))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(*.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (/.f64 1 (pow.f64 n 2)))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (.f64 2 (/.f64 1/2 (pow.f64 n 2))))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) 1/2))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (.f64 (/.f64 2 (pow.f64 n 2)) 1/2))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(*.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2)) 1)
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (neg.f64 (pow.f64 n 2))))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (.f64 2 (pow.f64 (log.f64 (-.f64 x -1)) 2)) (/.f64 1/2 (pow.f64 n 2)))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (.f64 2 (pow.f64 (log.f64 (-.f64 x -1)) 2)) (*.f64 (/.f64 1 (pow.f64 n 2)) 1/2))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (.f64 2 (pow.f64 (log.f64 (-.f64 x -1)) 2)) (.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 1/2) 1))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (.f64 2 (pow.f64 (log.f64 (-.f64 x -1)) 2)) (.f64 (.f64 2 (/.f64 1/2 (pow.f64 n 2))) 1/2))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2))) 1/2)
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) 4) (/.f64 (/.f64 1 (pow.f64 n 2)) 4))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) 4) (*.f64 (/.f64 (/.f64 1 (pow.f64 n 2)) 4) 1))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) 4) (*.f64 1/4 (/.f64 1 (pow.f64 n 2))))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) 4) (*.f64 1/2 (/.f64 1/2 (pow.f64 n 2))))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(*.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 (log.f64 (-.f64 x -1)) 2))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(*.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2)) (/.f64 -1 (pow.f64 n 2)))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2)) (.f64 (/.f64 -1 (pow.f64 n 2)) 1))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (/.f64 1/2 (pow.f64 n 2)) (.f64 2 (pow.f64 (log.f64 (-.f64 x -1)) 2)))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 1/2 (.f64 2 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2))))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (.f64 (/.f64 1 (pow.f64 n 2)) 1/2) (*.f64 2 (pow.f64 (log.f64 (-.f64 x -1)) 2)))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(*.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (neg.f64 (pow.f64 n 2))) -1)
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (.f64 2 (pow.f64 n 2))) 2)
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(.f64 (/.f64 (/.f64 1 (pow.f64 n 2)) 4) (.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) 4))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(*.f64 (/.f64 -1 (pow.f64 n 2)) (neg.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2)))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(pow.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2)) 1)
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))
(neg.f64 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (neg.f64 (pow.f64 n 2))))
(/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))

localize63.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
✓	1.5b	(/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2))
	1.7b	(log.f64 (-.f64 x -1))
✓	8.3b	(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 x -1)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))

Compiler

Compiled 148 to 102 computations (31.1% saved)

series7.0ms (0%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 x -1)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
1.0ms	x	@	inf	(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 x -1)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
1.0ms	x	@	0	(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
1.0ms	x	@	-inf	(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
1.0ms	n	@	0	(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 x -1)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))

rewrite100.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`rational.json-1`
1856×	`rational.json-2`
1856×	`rational.json-3`
1824×	`rational.json-4`
1452×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	159
1	160	159
2	362	159
3	911	159
4	2698	145
5	6550	145

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs

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

(/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2))

(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))

Outputs

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

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

simplify166.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational.json-simplify-51`
1214×	`rational.json-simplify-35`
1124×	`rational.json-simplify-2`
1096×	`rational.json-simplify-48`
826×	`rational.json-simplify-61`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	324	9859
1	715	9385
2	1383	9375
3	3043	9347
4	5320	9325

Stop Event

1×	node limit

Counts

143 → 226

Calls

Call 1

Inputs
(.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (/.f64 x n))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))
(+.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 n)) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))))
(/.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (.f64 n x)))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x)))))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 n 2))) (.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))) (/.f64 1 (.f64 n x))))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2)))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))))) (.f64 1/3 (/.f64 1 n))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 n 2))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))))) (.f64 1/3 (/.f64 1 n))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2)))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (log.f64 (+.f64 1 x))) (.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 n 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 n 2))))
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(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))
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(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))
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(+.f64 0 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2)))))))
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(.f64 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2)))))) 1)
(.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2)))))))
(.f64 (.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2))))))) 1/2)
(.f64 (neg.f64 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2))))))) -1)
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(/.f64 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2)))))) 1)
(/.f64 (.f64 2 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2))))))) 2)
(/.f64 (neg.f64 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2))))))) -1)
(/.f64 (.f64 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2)))))) 4) 4)
(/.f64 (.f64 2 (neg.f64 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2)))))))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2)))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2)))))) 4)) (.f64 2 (.f64 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2)))))) 4))) 16)
(pow.f64 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2)))))) 1)
(neg.f64 (neg.f64 (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (+.f64 x 1)) 2))))))))
(+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2)) 0)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))))
(+.f64 0 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2)))
(-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2)) 0)
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (neg.f64 (pow.f64 n 2))))
(.f64 1/2 (.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (/.f64 2 (pow.f64 n 2))))
(.f64 2 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))))
(*.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (/.f64 1 (pow.f64 n 2)))
(.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1/2 (pow.f64 n 2))))
(*.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2)) 1)
(.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2))) 2)
(*.f64 1 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2)))
(.f64 (.f64 2 (pow.f64 (log.f64 (+.f64 x 1)) 2)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(.f64 (.f64 2 (pow.f64 (log.f64 (+.f64 x 1)) 2)) (/.f64 1/2 (pow.f64 n 2)))
(.f64 (.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (/.f64 2 (pow.f64 n 2))) 1/2)
(.f64 (.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) 4) (/.f64 1 (*.f64 (pow.f64 n 2) 4)))
(*.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 (log.f64 (+.f64 x 1)) 2))
(*.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2)) (/.f64 -1 (pow.f64 n 2)))
(.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 2 (pow.f64 (log.f64 (+.f64 x 1)) 2)))
(.f64 (/.f64 1/2 (pow.f64 n 2)) (.f64 2 (pow.f64 (log.f64 (+.f64 x 1)) 2)))
(.f64 (.f64 2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (pow.f64 (log.f64 (+.f64 x 1)) 2)))
(.f64 (.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 (log.f64 (+.f64 x 1)) 2))
(*.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (neg.f64 (pow.f64 n 2))) -1)
(.f64 (/.f64 1 (.f64 (pow.f64 n 2) 4)) (*.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) 4))
(*.f64 (/.f64 -1 (pow.f64 n 2)) (neg.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2)))
(pow.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (pow.f64 n 2)) 1)
(neg.f64 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (neg.f64 (pow.f64 n 2))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) 0)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 0 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))
(-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) 0)
(*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (neg.f64 (pow.f64 n 2))))
(.f64 1/2 (.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(.f64 2 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(*.f64 (pow.f64 (log.f64 x) 2) (/.f64 1 (pow.f64 n 2)))
(.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(.f64 (pow.f64 (log.f64 x) 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1/2 (pow.f64 n 2))))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) 1)
(.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) 2)
(*.f64 1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))
(.f64 (.f64 2 (pow.f64 (log.f64 x) 2)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(.f64 (.f64 2 (pow.f64 (log.f64 x) 2)) (/.f64 1/2 (pow.f64 n 2)))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) 1/2)
(.f64 (.f64 (pow.f64 (log.f64 x) 2) 4) (/.f64 1 (*.f64 (pow.f64 n 2) 4)))
(*.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 (log.f64 x) 2))
(*.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (/.f64 -1 (pow.f64 n 2)))
(.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 2 (pow.f64 (log.f64 x) 2)))
(.f64 (/.f64 1/2 (pow.f64 n 2)) (.f64 2 (pow.f64 (log.f64 x) 2)))
(.f64 (.f64 2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (pow.f64 (log.f64 x) 2)))
(.f64 (.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 (log.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (neg.f64 (pow.f64 n 2))) -1)
(.f64 (/.f64 1 (.f64 (pow.f64 n 2) 4)) (*.f64 (pow.f64 (log.f64 x) 2) 4))
(*.f64 (/.f64 -1 (pow.f64 n 2)) (neg.f64 (pow.f64 (log.f64 x) 2)))
(pow.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) 1)
(neg.f64 (/.f64 (pow.f64 (log.f64 x) 2) (neg.f64 (pow.f64 n 2))))

Outputs
(.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
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(.f64 2 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(*.f64 (pow.f64 (log.f64 x) 2) (/.f64 1 (pow.f64 n 2)))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(.f64 (pow.f64 (log.f64 x) 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (.f64 1/2 (/.f64 1 (pow.f64 n 2)))))
(.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1/2 (pow.f64 n 2))))
(.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (/.f64 1/2 (pow.f64 n 2))))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) 1)
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) 2)
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(*.f64 1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(.f64 (.f64 2 (pow.f64 (log.f64 x) 2)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(.f64 (.f64 2 (pow.f64 (log.f64 x) 2)) (/.f64 1/2 (pow.f64 n 2)))
(.f64 2 (.f64 (pow.f64 (log.f64 x) 2) (/.f64 1/2 (pow.f64 n 2))))
(.f64 (pow.f64 (log.f64 x) 2) (.f64 (/.f64 1/2 (pow.f64 n 2)) 2))
(.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (/.f64 1/2 (pow.f64 n 2))))
(.f64 (.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) 1/2)
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(.f64 (.f64 (pow.f64 (log.f64 x) 2) 4) (/.f64 1 (*.f64 (pow.f64 n 2) 4)))
(.f64 (/.f64 1 (.f64 (pow.f64 n 2) 4)) (*.f64 (pow.f64 (log.f64 x) 2) 4))
(.f64 (pow.f64 (log.f64 x) 2) (.f64 4 (/.f64 1/4 (pow.f64 n 2))))
(*.f64 (/.f64 1 (pow.f64 n 2)) (pow.f64 (log.f64 x) 2))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(*.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (/.f64 -1 (pow.f64 n 2)))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(.f64 (.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 2 (pow.f64 (log.f64 x) 2)))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(.f64 (/.f64 1/2 (pow.f64 n 2)) (.f64 2 (pow.f64 (log.f64 x) 2)))
(.f64 2 (.f64 (pow.f64 (log.f64 x) 2) (/.f64 1/2 (pow.f64 n 2))))
(.f64 (pow.f64 (log.f64 x) 2) (.f64 (/.f64 1/2 (pow.f64 n 2)) 2))
(.f64 (pow.f64 (log.f64 x) 2) (.f64 2 (/.f64 1/2 (pow.f64 n 2))))
(.f64 (.f64 2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (pow.f64 (log.f64 x) 2)))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(.f64 (.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 (log.f64 x) 2))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (neg.f64 (pow.f64 n 2))) -1)
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(.f64 (/.f64 1 (.f64 (pow.f64 n 2) 4)) (*.f64 (pow.f64 (log.f64 x) 2) 4))
(.f64 (pow.f64 (log.f64 x) 2) (.f64 4 (/.f64 1/4 (pow.f64 n 2))))
(*.f64 (/.f64 -1 (pow.f64 n 2)) (neg.f64 (pow.f64 (log.f64 x) 2)))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(pow.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)) 1)
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(neg.f64 (/.f64 (pow.f64 (log.f64 x) 2) (neg.f64 (pow.f64 n 2))))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))

eval1.4s (3.5%)

Compiler: Compiled 39160 to 28068 computations (28.3% saved)

prune970.0ms (2.4%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1178	21	1199
Fresh	3	1	4
Picked	1	0	1
Done	2	2	4
Total	1184	24	1208

Error

0.3b

Counts

1208 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	38.0b	(/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))))) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))
	48.0b	(/.f64 (/.f64 n (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))))
	39.1b	(/.f64 (/.f64 1 x) n)
	39.1b	(/.f64 (/.f64 1 n) x)
	39.9b	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
	39.7b	(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
✓	15.4b	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
	37.9b	(/.f64 (-.f64 x (log.f64 x)) n)
	37.9b	(/.f64 (neg.f64 (log.f64 x)) n)
	29.9b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	39.7b	(/.f64 1 (*.f64 x n))
	40.6b	(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
	40.3b	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
✓	44.0b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	21.2b	(+.f64 (/.f64 (log.f64 (-.f64 x -1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (-.f64 x -1)) 2))))))
	38.1b	(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
▶	37.9b	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
	51.4b	(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
	48.0b	(.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (/.f64 1 n) (/.f64 n (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
	48.0b	(.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 1 (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
▶	15.4b	(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
▶	38.0b	(*.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))) (/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))))))
	38.1b	(.f64 (/.f64 -2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (/.f64 (/.f64 (/.f64 n 2) n) (/.f64 n (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
▶	29.2b	(neg.f64 (/.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) n))

Compiler

Compiled 860 to 611 computations (29% saved)

localize20.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
✓	1.7b	(log.f64 (+.f64 x 1))
✓	2.4b	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))

Compiler

Compiled 35 to 22 computations (37.1% saved)

series2.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite98.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`rational.json-1`
1518×	`rational.json-2`
1518×	`rational.json-3`
1498×	`rational.json-4`
1480×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	88	59
2	191	59
3	400	59
4	889	59
5	2702	59
6	6466	59

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))
(log.f64 (+.f64 x 1))
(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))

Outputs

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

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

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

simplify154.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

974×	`rational.json-simplify-2`
864×	`rational.json-simplify-1`
812×	`rational.json-simplify-39`
662×	`rational.json-simplify-35`
642×	`rational.json-simplify-19`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	322	5166
1	869	5006
2	3040	5006
3	5149	5006
4	7918	5006

Stop Event

1×	node limit

Counts

170 → 223

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(+.f64 (log.f64 (+.f64 x 1)) (neg.f64 (log.f64 x)))
(+.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 0)
(+.f64 0 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(+.f64 -1 (+.f64 1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (+.f64 x 1)))
(+.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) -1)
(+.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2))
(*.f64 1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1)
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2))
(*.f64 2 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))))
(*.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2) 1/2)
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -1)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2))
(.f64 1/2 (-.f64 (.f64 (log.f64 (+.f64 x 1)) 2) (*.f64 (log.f64 x) 2)))
(.f64 1/4 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 2)
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) 4)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2) 2)
(/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) 4)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -2) -2)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8) 8)
(/.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8)) 16)
(/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -2)) 2)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -2)) (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -2))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8)) (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8))) 32)
(pow.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1)
(neg.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))
(+.f64 (log.f64 (+.f64 x 1)) 0)
(+.f64 0 (log.f64 (+.f64 x 1)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 (log.f64 (+.f64 x 1)) 0)
(*.f64 1 (log.f64 (+.f64 x 1)))
(*.f64 (log.f64 (+.f64 x 1)) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 4 (/.f64 (log.f64 (+.f64 x 1)) 4))
(.f64 (.f64 (log.f64 (+.f64 x 1)) 2) 1/2)
(.f64 (.f64 (log.f64 (+.f64 x 1)) 4) 1/4)
(.f64 1/2 (.f64 (log.f64 (+.f64 x 1)) 2))
(.f64 1/4 (.f64 (log.f64 (+.f64 x 1)) 4))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) 2)
(*.f64 (/.f64 (log.f64 (+.f64 x 1)) 4) 4)
(/.f64 (log.f64 (+.f64 x 1)) 1)
(/.f64 (*.f64 (log.f64 (+.f64 x 1)) 2) 2)
(/.f64 (*.f64 (log.f64 (+.f64 x 1)) 4) 4)
(/.f64 (*.f64 (log.f64 (+.f64 x 1)) 8) 8)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 x 1)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 x 1)) 8)) (.f64 2 (.f64 (log.f64 (+.f64 x 1)) 8))) 32)
(pow.f64 (log.f64 (+.f64 x 1)) 1)
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 0)
(+.f64 0 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(+.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 1/2 n)) (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 1/2 n)))
(-.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 0)
(-.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 1/2 n)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (.f64 n -2)))
(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (*.f64 n n) n))
(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 1)
(/.f64 2 (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 -1 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(/.f64 -1 (neg.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (/.f64 2 n) (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 4 (/.f64 (*.f64 n 4) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 2 n)) 2)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2) (+.f64 n n))
(/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (neg.f64 n))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 4 n)) 4)
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) (.f64 n 4))
(/.f64 8 (.f64 2 (/.f64 (.f64 n 4) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 8 (/.f64 (*.f64 n 8) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 -2 (neg.f64 (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 -2 (+.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (neg.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(/.f64 (/.f64 4 n) (+.f64 (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 1/2 (*.f64 n (/.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (*.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -2) (.f64 n -2))
(/.f64 16 (+.f64 (.f64 2 (/.f64 (.f64 n 4) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (.f64 2 (/.f64 (.f64 n 4) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(/.f64 16 (+.f64 (/.f64 (.f64 n 8) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (.f64 n 8) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 -4 (+.f64 (neg.f64 (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (neg.f64 (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 n 4) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 8) 8)
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8) (.f64 n 8))
(/.f64 (/.f64 (.f64 n 4) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (.f64 (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (/.f64 (.f64 n 4) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (+.f64 (.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (*.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 1/2 n)) 1/2)
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (.f64 n 1/2))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (/.f64 (.f64 n n) (+.f64 n n)))
(/.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4) (.f64 (neg.f64 n) 4))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8)) (.f64 2 (.f64 n 8)))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 8)) 16)
(/.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8)) (neg.f64 (.f64 n 8)))
(/.f64 -1/2 (-.f64 0 (*.f64 n (/.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) -1)
(/.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8) n) 8)
(/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (*.f64 n 4)) 1/4)
(/.f64 (neg.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (-.f64 0 (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4)) (neg.f64 (.f64 n 4)))
(/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -2)) (+.f64 n n))
(/.f64 (+.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n)) -2)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8) n) (/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8) n)) 16)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4)) (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))) (.f64 2 (neg.f64 (.f64 n 4))))
(/.f64 (+.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4)) (.f64 2 (.f64 (neg.f64 n) 4)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 8)) (.f64 2 (.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -2)) (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -2))) (*.f64 n 4))
(/.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2)) (-.f64 0 (.f64 n 1/2)))
(/.f64 (neg.f64 (/.f64 1 n)) (-.f64 0 (/.f64 1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (neg.f64 (/.f64 2 n)) (-.f64 0 (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4)) (-.f64 0 (.f64 (neg.f64 n) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))) (.f64 n 4))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))) (-.f64 0 (neg.f64 (.f64 n 4))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -2))) (.f64 n -2))
(pow.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 1)
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))

Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 x (neg.f64 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1 (log.f64 x))))
(+.f64 (+.f64 x (neg.f64 (log.f64 x))) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (neg.f64 (log.f64 x))))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(+.f64 (+.f64 (+.f64 x (neg.f64 (log.f64 x))) (.f64 -1/2 (pow.f64 x 2))) (.f64 1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 (log.f64 x))) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3)))))
(+.f64 (+.f64 x (.f64 1/3 (pow.f64 x 3))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 (log.f64 x))))
(+.f64 x (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (neg.f64 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (.f64 1/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (.f64 1/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -1/4) (+.f64 x (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 (pow.f64 x 4) -1/4) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 4) -1/4)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 4) -1/4) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (+.f64 x (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 4) -1/4)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (neg.f64 (log.f64 (/.f64 1 x)))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (neg.f64 (log.f64 (/.f64 1 x)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1)))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 -1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
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(/.f64 (+.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n)) -2)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (+.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8) n) (/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8) n)) 16)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4)) (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))) (.f64 2 (neg.f64 (.f64 n 4))))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (+.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4)) (.f64 2 (.f64 (neg.f64 n) 4)))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 8)) (.f64 2 (.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 8))) 32)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -2)) (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -2))) (*.f64 n 4))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2)) (-.f64 0 (.f64 n 1/2)))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (neg.f64 (/.f64 1 n)) (-.f64 0 (/.f64 1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (neg.f64 (/.f64 2 n)) (-.f64 0 (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (neg.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4)) (-.f64 0 (.f64 (neg.f64 n) 4)))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))) (.f64 n 4))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))) (-.f64 0 (neg.f64 (.f64 n 4))))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -2))) (.f64 n -2))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(pow.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 1)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 1 (*.f64 x n))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 1 (*.f64 x n))
0.0ms	x	@	-inf	(/.f64 1 (*.f64 x n))
0.0ms	x	@	inf	(/.f64 1 (*.f64 x n))
0.0ms	n	@	-inf	(/.f64 1 (*.f64 x n))
0.0ms	n	@	inf	(/.f64 1 (*.f64 x n))

rewrite69.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`rational.json-1`
1372×	`rational.json-2`
1372×	`rational.json-4`
1372×	`rational.json-3`
1370×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	60	13
2	162	13
3	406	13
4	1227	13
5	4163	13

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))

Outputs

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

simplify71.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1308×	`rational.json-simplify-2`
1012×	`rational.json-simplify-44`
918×	`rational.json-simplify-47`
878×	`rational.json-simplify-53`
874×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	1451
1	376	1443
2	962	1427
3	4338	1425

Stop Event

1×	node limit

Counts

89 → 87

Calls

Call 1

Inputs
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(+.f64 (/.f64 1 (*.f64 x n)) 0)
(+.f64 0 (/.f64 1 (*.f64 x n)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(+.f64 (/.f64 (/.f64 1/2 n) x) (/.f64 (/.f64 1/2 n) x))
(-.f64 (/.f64 1 (*.f64 x n)) 0)
(-.f64 0 (/.f64 (/.f64 -1 x) n))
(.f64 1 (/.f64 1 (.f64 x n)))
(.f64 x (/.f64 (/.f64 n n) (.f64 n (*.f64 x x))))
(.f64 x (/.f64 2 (.f64 n (*.f64 x (+.f64 x x)))))
(.f64 n (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))))
(.f64 (.f64 x n) (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))))
(.f64 (/.f64 1 (.f64 x n)) 1)
(*.f64 2 (/.f64 (/.f64 1/2 n) x))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 2 (/.f64 x (.f64 n (*.f64 x (+.f64 x x)))))
(.f64 (.f64 x (+.f64 n n)) (/.f64 1 (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 (.f64 x (+.f64 n n)) (/.f64 1/2 (.f64 x (.f64 x (*.f64 n n)))))
(*.f64 (/.f64 1 x) (/.f64 1 n))
(.f64 (+.f64 x x) (/.f64 (.f64 n 1/2) (.f64 x (.f64 x (*.f64 n n)))))
(.f64 (+.f64 x x) (/.f64 1 (.f64 n (*.f64 x (+.f64 x x)))))
(.f64 4 (/.f64 (/.f64 1 (.f64 x n)) 4))
(.f64 (+.f64 n n) (/.f64 (.f64 x 1/2) (.f64 x (.f64 x (*.f64 n n)))))
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 1/2 n))
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 (/.f64 1/2 n) 1))
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 n)))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(*.f64 -1 (/.f64 (/.f64 -1 x) n))
(.f64 -1 (.f64 (/.f64 (/.f64 -1 x) n) 1))
(*.f64 -1 (/.f64 (/.f64 -1 n) x))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
(*.f64 (/.f64 -1 x) (/.f64 -1 n))
(.f64 (.f64 (/.f64 1 (*.f64 x n)) 4) 1/4)
(.f64 (.f64 (/.f64 1 x) 4) (/.f64 1 (*.f64 n 4)))
(.f64 (.f64 2 (/.f64 1 n)) (/.f64 1/2 x))
(*.f64 (/.f64 2 n) (/.f64 1/2 x))
(*.f64 (/.f64 -1 n) (/.f64 -1 x))
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(*.f64 1/2 (/.f64 (/.f64 2 n) x))
(.f64 (.f64 x 1/2) (.f64 n (/.f64 (/.f64 2 n) (.f64 n (*.f64 x x)))))
(.f64 (.f64 n 1/2) (.f64 x (/.f64 (/.f64 2 n) (.f64 n (*.f64 x x)))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(*.f64 (/.f64 (/.f64 -1 x) n) -1)
(.f64 (/.f64 1/2 n) (.f64 2 (/.f64 1 x)))
(*.f64 (/.f64 (/.f64 2 n) x) 1/2)
(.f64 (/.f64 x 1/2) (/.f64 (.f64 n 1/2) (.f64 x (.f64 x (*.f64 n n)))))
(.f64 1/4 (.f64 (/.f64 1 (*.f64 x n)) 4))
(.f64 (/.f64 1 (/.f64 1 n)) (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))))
(.f64 (/.f64 1 (/.f64 2 n)) (.f64 x (/.f64 (/.f64 2 n) (.f64 n (.f64 x x)))))
(.f64 (/.f64 2 (/.f64 2 n)) (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))))
(.f64 (/.f64 1 (/.f64 -1 n)) (/.f64 x (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(.f64 (/.f64 (/.f64 n n) (.f64 n (*.f64 x x))) x)
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(.f64 (.f64 x (/.f64 (/.f64 2 n) (.f64 n (.f64 x x)))) (*.f64 n 1/2))
(.f64 (.f64 n (/.f64 (/.f64 2 n) (.f64 n (.f64 x x)))) (*.f64 x 1/2))
(.f64 (/.f64 2 (/.f64 1 n)) (/.f64 (.f64 x 1/2) (.f64 x (.f64 x (*.f64 n n)))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(.f64 (/.f64 2 (.f64 x x)) (/.f64 x (+.f64 n n)))
(.f64 (.f64 x (.f64 n 1/2)) (/.f64 (/.f64 2 n) (.f64 n (*.f64 x x))))
(.f64 (.f64 2 (/.f64 -1 x)) (/.f64 -1/2 n))
(*.f64 (/.f64 (/.f64 1/2 n) x) 2)
(pow.f64 (/.f64 1 (*.f64 x n)) 1)
(neg.f64 (/.f64 (/.f64 -1 x) n))
(neg.f64 (/.f64 -1 (*.f64 x n)))
(neg.f64 (/.f64 (/.f64 -1 n) x))

Outputs
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(+.f64 (/.f64 1 (*.f64 x n)) 0)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(+.f64 0 (/.f64 1 (*.f64 x n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(+.f64 (/.f64 (/.f64 1/2 n) x) (/.f64 (/.f64 1/2 n) x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (*.f64 x n)) 0)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(-.f64 0 (/.f64 (/.f64 -1 x) n))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 1 (/.f64 1 (.f64 x n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 x (/.f64 (/.f64 n n) (.f64 n (*.f64 x x))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 x (/.f64 2 (.f64 n (*.f64 x (+.f64 x x)))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 n (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (.f64 x n) (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (/.f64 1 (.f64 x n)) 1)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 2 (/.f64 (/.f64 1/2 n) x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 2 (/.f64 x (.f64 n (*.f64 x (+.f64 x x)))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (.f64 x (+.f64 n n)) (/.f64 1 (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (.f64 x (+.f64 n n)) (/.f64 1/2 (.f64 x (.f64 x (*.f64 n n)))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (+.f64 x x) (/.f64 (.f64 n 1/2) (.f64 x (.f64 x (*.f64 n n)))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (+.f64 x x) (/.f64 1 (.f64 n (*.f64 x (+.f64 x x)))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 4 (/.f64 (/.f64 1 (.f64 x n)) 4))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (+.f64 n n) (/.f64 (.f64 x 1/2) (.f64 x (.f64 x (*.f64 n n)))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 1/2 n))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 (/.f64 1/2 n) 1))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (.f64 2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 n) (/.f64 1 x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 -1 (/.f64 (/.f64 -1 x) n))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 -1 (.f64 (/.f64 (/.f64 -1 x) n) 1))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 -1 (/.f64 (/.f64 -1 n) x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 n (.f64 n x))))))
(.f64 (neg.f64 x) (/.f64 n (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(*.f64 (/.f64 -1 x) (/.f64 -1 n))
(.f64 (.f64 (/.f64 1 (*.f64 x n)) 4) 1/4)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (.f64 (/.f64 1 x) 4) (/.f64 1 (*.f64 n 4)))
(.f64 (.f64 (/.f64 1 x) 4) (/.f64 (/.f64 1 n) 4))
(.f64 (.f64 (/.f64 1 x) 4) (/.f64 1/4 n))
(.f64 (/.f64 1 x) (.f64 4 (/.f64 1/4 n)))
(.f64 (.f64 2 (/.f64 1 n)) (/.f64 1/2 x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 n) (/.f64 1/2 x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 -1 n) (/.f64 -1 x))
(*.f64 (/.f64 -1 x) (/.f64 -1 n))
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(*.f64 (/.f64 1/2 n) (/.f64 2 x))
(*.f64 1/2 (/.f64 (/.f64 2 n) x))
(.f64 1/2 (/.f64 2 (.f64 n x)))
(.f64 (.f64 x 1/2) (.f64 n (/.f64 (/.f64 2 n) (.f64 n (*.f64 x x)))))
(.f64 x (.f64 1/2 (.f64 n (/.f64 (/.f64 2 n) (.f64 x (*.f64 n x))))))
(.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2)))
(.f64 x (.f64 (.f64 n 1/2) (/.f64 (/.f64 2 n) (.f64 n (*.f64 x x)))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 (.f64 n 1/2) (.f64 x (/.f64 (/.f64 2 n) (.f64 n (*.f64 x x)))))
(.f64 x (.f64 1/2 (.f64 n (/.f64 (/.f64 2 n) (.f64 x (*.f64 n x))))))
(.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2)))
(.f64 x (.f64 (.f64 n 1/2) (/.f64 (/.f64 2 n) (.f64 n (*.f64 x x)))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 (/.f64 -1 x) n) -1)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (/.f64 1/2 n) (.f64 2 (/.f64 1 x)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 (/.f64 2 n) x) 1/2)
(.f64 1/2 (/.f64 2 (.f64 n x)))
(*.f64 1/2 (/.f64 (/.f64 2 n) x))
(.f64 (/.f64 x 1/2) (/.f64 (.f64 n 1/2) (.f64 x (.f64 x (*.f64 n n)))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 1/4 (.f64 (/.f64 1 (*.f64 x n)) 4))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (/.f64 1 (/.f64 1 n)) (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (/.f64 1 (/.f64 2 n)) (.f64 x (/.f64 (/.f64 2 n) (.f64 n (.f64 x x)))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (/.f64 2 (/.f64 2 n)) (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (/.f64 1 (/.f64 -1 n)) (/.f64 x (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
(.f64 (/.f64 n -1) (/.f64 x (neg.f64 (.f64 x (.f64 n (.f64 n x))))))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 n) (/.f64 (/.f64 1 (.f64 n x)) (neg.f64 n)))
(*.f64 (neg.f64 n) (/.f64 (/.f64 (/.f64 1 x) n) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (/.f64 (/.f64 n n) (.f64 n (*.f64 x x))) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(.f64 x (.f64 1/2 (.f64 n (/.f64 (/.f64 2 n) (.f64 x (*.f64 n x))))))
(.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2)))
(.f64 x (.f64 (.f64 n 1/2) (/.f64 (/.f64 2 n) (.f64 n (*.f64 x x)))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 (.f64 x (/.f64 (/.f64 2 n) (.f64 n (.f64 x x)))) (*.f64 n 1/2))
(.f64 x (.f64 1/2 (.f64 n (/.f64 (/.f64 2 n) (.f64 x (*.f64 n x))))))
(.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2)))
(.f64 x (.f64 (.f64 n 1/2) (/.f64 (/.f64 2 n) (.f64 n (*.f64 x x)))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 (.f64 n (/.f64 (/.f64 2 n) (.f64 n (.f64 x x)))) (*.f64 x 1/2))
(.f64 x (.f64 1/2 (.f64 n (/.f64 (/.f64 2 n) (.f64 x (*.f64 n x))))))
(.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2)))
(.f64 x (.f64 (.f64 n 1/2) (/.f64 (/.f64 2 n) (.f64 n (*.f64 x x)))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 (/.f64 2 (/.f64 1 n)) (/.f64 (.f64 x 1/2) (.f64 x (.f64 x (*.f64 n n)))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (/.f64 2 (.f64 x x)) (/.f64 x (+.f64 n n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(.f64 (.f64 x (.f64 n 1/2)) (/.f64 (/.f64 2 n) (.f64 n (*.f64 x x))))
(.f64 x (.f64 1/2 (.f64 n (/.f64 (/.f64 2 n) (.f64 x (*.f64 n x))))))
(.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2)))
(.f64 x (.f64 (.f64 n 1/2) (/.f64 (/.f64 2 n) (.f64 n (*.f64 x x)))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 (.f64 2 (/.f64 -1 x)) (/.f64 -1/2 n))
(.f64 (.f64 (/.f64 -1 x) 2) (/.f64 -1/2 n))
(.f64 2 (.f64 (/.f64 -1 x) (/.f64 -1/2 n)))
(.f64 (/.f64 -1 x) (.f64 2 (/.f64 -1/2 n)))
(*.f64 (/.f64 (/.f64 1/2 n) x) 2)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(pow.f64 (/.f64 1 (*.f64 x n)) 1)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(neg.f64 (/.f64 (/.f64 -1 x) n))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(neg.f64 (/.f64 -1 (*.f64 x n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)
(neg.f64 (/.f64 (/.f64 -1 n) x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 x) n)

localize20.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
	0.3b	(/.f64 (log.f64 x) n)

Compiler

Compiled 27 to 7 computations (74.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	n	@	-inf	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
0.0ms	n	@	0	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
0.0ms	x	@	-inf	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
0.0ms	x	@	0	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
0.0ms	x	@	inf	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))

rewrite67.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`rational.json-simplify-35`
1236×	`rational.json-1`
1236×	`rational.json-2`
1236×	`rational.json-3`
1212×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	72	27
2	196	27
3	560	27
4	1821	27
5	4445	27

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))

Outputs

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

simplify127.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1490×	`rational.json-simplify-2`
1340×	`rational.json-simplify-35`
1288×	`rational.json-simplify-51`
944×	`rational.json-simplify-53`
900×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	1573
1	243	1523
2	521	1523
3	1621	1523
4	4549	1523
5	6651	1523
6	7957	1523

Stop Event

1×	node limit

Counts

53 → 49

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n))
(/.f64 x n)
(+.f64 (/.f64 x n) (.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(+.f64 (/.f64 x n) (.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(+.f64 (/.f64 x n) (.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(-.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 0)
(-.f64 (+.f64 (/.f64 x n) (-.f64 1 (/.f64 (log.f64 x) n))) 1)
(*.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 1)
(*.f64 1 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)))
(*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x (neg.f64 n))))
(*.f64 2 (/.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 2))
(.f64 (.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 2) 1/2)
(*.f64 (/.f64 1 n) (+.f64 x (neg.f64 (log.f64 x))))
(.f64 1/2 (.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 2))
(.f64 1/2 (+.f64 (.f64 (log.f64 x) (/.f64 -2 n)) (*.f64 x (/.f64 2 n))))
(.f64 (/.f64 1/2 n) (+.f64 (+.f64 x x) (.f64 (log.f64 x) -2)))
(*.f64 (/.f64 -1 n) (+.f64 (log.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 2) 2)
(*.f64 (+.f64 x (neg.f64 (log.f64 x))) (/.f64 1 n))
(.f64 (+.f64 (.f64 (log.f64 x) (/.f64 -2 n)) (*.f64 x (/.f64 2 n))) 1/2)
(*.f64 (+.f64 (log.f64 x) (neg.f64 x)) (/.f64 -1 n))
(*.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x (neg.f64 n))) -1)
(.f64 (+.f64 (+.f64 x x) (.f64 (log.f64 x) -2)) (/.f64 1/2 n))
(/.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 1)
(/.f64 (*.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 2) 2)
(/.f64 (*.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 4) 4)
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 x n))))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 4)) 8)
(/.f64 (.f64 2 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x))))) (.f64 2 (/.f64 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 x n)))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x))))) (.f64 2 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))))) (+.f64 (.f64 2 (/.f64 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 x n)))) (.f64 2 (/.f64 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 x n))))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 4)))) 32)
(/.f64 (neg.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x))))) (-.f64 0 (/.f64 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 x n)))))
(pow.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 1)

Outputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 x n)
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 (/.f64 1 x)) n))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 (/.f64 1 x)) n))
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 x n)
(+.f64 (/.f64 x n) (.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(+.f64 (/.f64 x n) (neg.f64 (+.f64 (/.f64 (log.f64 -1) n) (neg.f64 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(+.f64 (/.f64 x n) (.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(+.f64 (/.f64 x n) (neg.f64 (+.f64 (/.f64 (log.f64 -1) n) (neg.f64 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(+.f64 (/.f64 x n) (.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(+.f64 (/.f64 x n) (neg.f64 (+.f64 (/.f64 (log.f64 -1) n) (neg.f64 (/.f64 (log.f64 (/.f64 -1 x)) n)))))
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 0)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(-.f64 (+.f64 (/.f64 x n) (-.f64 1 (/.f64 (log.f64 x) n))) 1)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(*.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 1)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(*.f64 1 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x (neg.f64 n))))
(neg.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x (neg.f64 n))))
(*.f64 2 (/.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 2))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(.f64 (.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 2) 1/2)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(*.f64 (/.f64 1 n) (+.f64 x (neg.f64 (log.f64 x))))
(.f64 1/2 (.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 2))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(.f64 1/2 (+.f64 (.f64 (log.f64 x) (/.f64 -2 n)) (*.f64 x (/.f64 2 n))))
(.f64 (/.f64 1/2 n) (+.f64 (+.f64 x x) (.f64 (log.f64 x) -2)))
(.f64 (/.f64 1/2 n) (+.f64 x (+.f64 x (.f64 (log.f64 x) -2))))
(*.f64 (/.f64 -1 n) (+.f64 (log.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 2) 2)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(*.f64 (+.f64 x (neg.f64 (log.f64 x))) (/.f64 1 n))
(*.f64 (/.f64 1 n) (+.f64 x (neg.f64 (log.f64 x))))
(.f64 (+.f64 (.f64 (log.f64 x) (/.f64 -2 n)) (*.f64 x (/.f64 2 n))) 1/2)
(.f64 1/2 (+.f64 (.f64 (log.f64 x) (/.f64 -2 n)) (*.f64 x (/.f64 2 n))))
(*.f64 (+.f64 (log.f64 x) (neg.f64 x)) (/.f64 -1 n))
(*.f64 (/.f64 -1 n) (+.f64 (log.f64 x) (neg.f64 x)))
(*.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x (neg.f64 n))) -1)
(neg.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x (neg.f64 n))))
(.f64 (+.f64 (+.f64 x x) (.f64 (log.f64 x) -2)) (/.f64 1/2 n))
(.f64 (/.f64 1/2 n) (+.f64 (+.f64 x x) (.f64 (log.f64 x) -2)))
(.f64 (/.f64 1/2 n) (+.f64 x (+.f64 x (.f64 (log.f64 x) -2))))
(/.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 1)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 (*.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 2) 2)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 (*.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 4) 4)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 x n))))
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 n (*.f64 (/.f64 x n) (neg.f64 (log.f64 x)))))
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 (neg.f64 n) (/.f64 x (/.f64 n (log.f64 x)))))
(.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (.f64 (log.f64 x) (/.f64 (/.f64 x (neg.f64 n)) n)))
(.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (.f64 (log.f64 x) (/.f64 (/.f64 x n) (neg.f64 n))))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 4)) 8)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 (.f64 2 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x))))) (.f64 2 (/.f64 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 x n)))))
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 x n))))
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 n (*.f64 (/.f64 x n) (neg.f64 (log.f64 x)))))
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 (neg.f64 n) (/.f64 x (/.f64 n (log.f64 x)))))
(.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (.f64 (log.f64 x) (/.f64 (/.f64 x (neg.f64 n)) n)))
(.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (.f64 (log.f64 x) (/.f64 (/.f64 x n) (neg.f64 n))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 4))) 16)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 (+.f64 (.f64 2 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x))))) (.f64 2 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))))) (+.f64 (.f64 2 (/.f64 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 x n)))) (.f64 2 (/.f64 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 x n))))))
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 x n))))
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 n (*.f64 (/.f64 x n) (neg.f64 (log.f64 x)))))
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 (neg.f64 n) (/.f64 x (/.f64 n (log.f64 x)))))
(.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (.f64 (log.f64 x) (/.f64 (/.f64 x (neg.f64 n)) n)))
(.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (.f64 (log.f64 x) (/.f64 (/.f64 x n) (neg.f64 n))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 4)))) 32)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 (neg.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x))))) (-.f64 0 (/.f64 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 x n)))))
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 x n))))
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 n (*.f64 (/.f64 x n) (neg.f64 (log.f64 x)))))
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 (neg.f64 n) (/.f64 x (/.f64 n (log.f64 x)))))
(.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (.f64 (log.f64 x) (/.f64 (/.f64 x (neg.f64 n)) n)))
(.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (.f64 (log.f64 x) (/.f64 (/.f64 x n) (neg.f64 n))))
(pow.f64 (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 x n)) 1)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (/.f64 x n) (/.f64 (log.f64 x) (neg.f64 n)))

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (/.f64 1 x))
✓	0.0b	(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
✓	0.1b	(/.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)
✓	0.3b	(/.f64 (log.f64 (/.f64 1 x)) n)

Compiler

Compiled 73 to 51 computations (30.1% saved)

series14.0ms (0%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(/.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)
1.0ms	x	@	inf	(/.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)
1.0ms	n	@	0	(/.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)
1.0ms	x	@	-inf	(/.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)
1.0ms	n	@	inf	(/.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)

rewrite71.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`rational.json-1`
1454×	`rational.json-2`
1454×	`rational.json-3`
1450×	`exponential.json-3`
1450×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	89
1	115	89
2	331	89
3	1081	89
4	4583	89

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs
(/.f64 (log.f64 (/.f64 1 x)) n)
(/.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) n)
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))

Outputs

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

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

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

simplify151.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational.json-simplify-44`
1144×	`rational.json-simplify-51`
1068×	`rational.json-simplify-35`
930×	`rational.json-simplify-47`
900×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	279	6693
1	643	6487
2	1605	6215
3	5212	6205
4	7302	6205

Stop Event

1×	node limit

Counts

157 → 179

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)
(/.f64 -1 (.f64 n (.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 x) n))) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 x) n))) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 x) n))) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 x) n))) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) x)))
(/.f64 -1 (.f64 n (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) x)))
(/.f64 -1 (*.f64 n x))
(-.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x)) (/.f64 1 (.f64 n x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x)))) (/.f64 1 (.f64 n x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (.f64 (pow.f64 n 3) x))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 (/.f64 1 x)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))) (pow.f64 n 4))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 (pow.f64 n 4) x))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 (pow.f64 n 4) x))) (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x))))))) (/.f64 1 (.f64 n x)))
(/.f64 -1 (*.f64 n x))
(-.f64 (/.f64 (log.f64 (/.f64 1 x)) (.f64 (pow.f64 n 2) x)) (/.f64 1 (.f64 n x)))
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(neg.f64 (/.f64 (/.f64 1 n) (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))))
(/.f64 -1 (.f64 x (.f64 n (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))))
(/.f64 (/.f64 -1 (*.f64 x n)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(/.f64 (/.f64 -1 x) (*.f64 n (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) n)
(neg.f64 (/.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) x) n))
(/.f64 -1 (.f64 x (.f64 n (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))))
(/.f64 (/.f64 -1 (*.f64 x n)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(/.f64 (/.f64 -1 x) (*.f64 n (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) n)
(neg.f64 (/.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) n) x))
(/.f64 -1 (.f64 x (.f64 n (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))))
(/.f64 (/.f64 -1 (*.f64 x n)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(/.f64 (/.f64 -1 x) (*.f64 n (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) n)
(neg.f64 (/.f64 (neg.f64 (/.f64 (/.f64 -1 n) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) x))
(/.f64 -1 (.f64 x (.f64 n (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))))
(/.f64 (/.f64 -1 (*.f64 x n)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(/.f64 (/.f64 -1 x) (*.f64 n (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) n)
(+.f64 -1 (-.f64 1 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) x)))
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(+.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) 0)
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(+.f64 0 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))))
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(-.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) 0)
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(-.f64 0 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) x))
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(.f64 1 (/.f64 -1 (.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))))
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(*.f64 -1 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) x))
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(.f64 (/.f64 -1 (.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) 1)
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(.f64 (.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) 2) 1/2)
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(.f64 2 (/.f64 (/.f64 -1 (.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) 2))
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(*.f64 (/.f64 -1 x) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(.f64 (.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) 4) 1/4)
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(.f64 (.f64 2 (/.f64 -1 x)) (/.f64 1 (*.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) 2)))
(.f64 (.f64 (/.f64 -1 x) 2) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) 2))
(.f64 (/.f64 -1 x) (.f64 (/.f64 1/2 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) 2))
(.f64 (.f64 (/.f64 -1 x) 2) (/.f64 1/2 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(.f64 (/.f64 1/2 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 (/.f64 -1 x) 2))
(*.f64 (/.f64 -1 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 1 x))
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(*.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) x) -1)
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(*.f64 (/.f64 1 x) (/.f64 -1 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(*.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 -1 x))
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(.f64 1/2 (.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) 2))
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)) 2)) (*.f64 2 (/.f64 -1 x)))
(.f64 (.f64 (/.f64 -1 x) 2) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) 2))
(.f64 (/.f64 -1 x) (.f64 (/.f64 1/2 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) 2))
(.f64 (.f64 (/.f64 -1 x) 2) (/.f64 1/2 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(.f64 (/.f64 1/2 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (.f64 (/.f64 -1 x) 2))
(.f64 1/4 (.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) 4))
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(.f64 (/.f64 (/.f64 -1 (.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) 2) 2)
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(pow.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) 1)
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
(neg.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) x))
(/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 (/.f64 -1 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))))
✓	0.4b	(*.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))) (/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))))))
	1.7b	(log.f64 (-.f64 x -1))
✓	2.4b	(-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))

Compiler

Compiled 83 to 51 computations (38.6% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite93.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`rational.json-1`
1316×	`rational.json-2`
1316×	`rational.json-3`
1312×	`exponential.json-3`
1312×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	159
1	104	153
2	273	153
3	796	153
4	3518	125

Stop Event

1×	node limit

Counts

3 → 210

Calls

Call 1

Inputs

(-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))

(*.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))) (/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))))))

(/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (*.f64 (+.f64 n n) (*.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (*.f64 (+.f64 n n) (*.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (*.f64 (+.f64 n n) (*.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 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simplify322.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1546×	`rational.json-simplify-49`
1074×	`rational.json-simplify-50`
1034×	`rational.json-simplify-46`
654×	`rational.json-simplify-51`
552×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	525	11618
1	2005	11132
2	4910	10166
3	7434	10076

Stop Event

1×	node limit

Counts

270 → 318

Calls

Call 1

Inputs
(log.f64 x)
(+.f64 (*.f64 -1 x) (log.f64 x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (log.f64 x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (log.f64 x))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
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(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) n)) (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (+.f64 n n))) (-.f64 0 (/.f64 1/2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) n)) (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))) (neg.f64 n))
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 -2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) n)) (-.f64 0 (.f64 2 (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 -2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) n)) (-.f64 0 (/.f64 -2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 -2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (+.f64 n n))) (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)) -1/2))) (.f64 -2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)) -1/4))) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 -2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))) (.f64 -2 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))) (/.f64 (.f64 n 4) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(pow.f64 (/.f64 4 (.f64 (+.f64 n n) (.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) 2))) 1)
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(+.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)) 0)
(+.f64 0 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)))
(-.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)) 0)
(-.f64 0 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)) 1)
(.f64 1 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)))
(.f64 (.f64 -2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (+.f64 n n)))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(.f64 2 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (.f64 -2 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(.f64 2 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)) 2))
(.f64 2 (.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (+.f64 n n)) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4) (/.f64 1 (/.f64 (*.f64 n 4) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -2) (/.f64 -1 (*.f64 -2 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(*.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))
(*.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) (/.f64 1 (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(*.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) -1)
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 2 n))) 1/2)
(*.f64 (/.f64 1 n) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(.f64 1/2 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 2 n))))
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (+.f64 n n)) (.f64 -2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(*.f64 (/.f64 1 (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(*.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (/.f64 1 n))
(.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (.f64 -2 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))) 2)
(.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)) 2) 2)
(.f64 (/.f64 1 (/.f64 (.f64 n 4) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4))
(.f64 (/.f64 -1 (.f64 -2 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -2))
(pow.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)) 1)
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))

Outputs
(log.f64 x)
(+.f64 (*.f64 -1 x) (log.f64 x))
(+.f64 (log.f64 x) (*.f64 x -1))
(+.f64 (log.f64 x) (neg.f64 x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (log.f64 x)))
(+.f64 (+.f64 (log.f64 x) (.f64 x -1)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (+.f64 (log.f64 x) (neg.f64 x)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (log.f64 x))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 x -1) (+.f64 (log.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 (log.f64 x) (neg.f64 x)) (.f64 -1/3 (pow.f64 x 3))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 3))))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
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(+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)))
(+.f64 (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(+.f64 (/.f64 x n) (+.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))) (*.f64 1/3 (/.f64 (pow.f64 x 3) n))))
(+.f64 (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (.f64 -1/2 (/.f64 (pow.f64 x 2) n))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) n)) (/.f64 x n)))
(+.f64 (/.f64 x n) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) n)) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (.f64 1/3 (/.f64 (pow.f64 x 3) n)))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (/.f64 1 n) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (.f64 1/3 (/.f64 (/.f64 1 n) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (/.f64 1 n) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (.f64 1/3 (/.f64 (/.f64 1 n) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (/.f64 1 n) (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 4) n))))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (/.f64 1 n) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (.f64 1/3 (/.f64 (/.f64 1 n) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (/.f64 1 n) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 n (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 (.f64 x n)) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (.f64 1/3 (/.f64 (/.f64 1 n) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (/.f64 1 n) (pow.f64 x 2))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 x 4) n))))))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n))
(*.f64 -1 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
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(/.f64 (/.f64 2 n) (*.f64 2 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))
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(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
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(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
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(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
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(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
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(neg.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)))
(.f64 2 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)) 2))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 2)))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (*.f64 1/2 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))))
(.f64 2 (.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (+.f64 n n)) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4) (/.f64 1 (/.f64 (*.f64 n 4) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -2) (/.f64 -1 (*.f64 -2 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(*.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(*.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) (/.f64 1 (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(*.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) -1)
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(neg.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)))
(.f64 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 2 n))) 1/2)
(.f64 1/2 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 2 n))))
(*.f64 (/.f64 1 n) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(.f64 (/.f64 1 n) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (neg.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
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(.f64 1/2 (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 2 n))))
(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (+.f64 n n)) (.f64 -2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(*.f64 (/.f64 1 (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
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(*.f64 (/.f64 1 n) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(.f64 (/.f64 1 n) (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (neg.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(.f64 (/.f64 1 n) (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (.f64 -2 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))) 2)
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(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 2)))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (*.f64 1/2 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))))
(.f64 (/.f64 1 (/.f64 (.f64 n 4) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 4))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(.f64 (/.f64 -1 (.f64 -2 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))) (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -2))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(pow.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)) 1)
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(neg.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)))

eval1.1s (2.7%)

Compiler: Compiled 31268 to 20756 computations (33.6% saved)

prune358.0ms (0.9%)

Pruning

48 alts after pruning (45 fresh and 3 done)

	Pruned	Kept	Total
New	1214	32	1246
Fresh	4	13	17
Picked	1	0	1
Done	3	3	6
Total	1222	48	1270

Error

0.2b

Counts

1270 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	38.0b	(/.f64 (/.f64 (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
	38.0b	(/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))))) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))
	38.0b	(/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
	15.5b	(/.f64 (/.f64 2 n) (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
	39.1b	(/.f64 (/.f64 1 x) n)
	39.1b	(/.f64 (/.f64 1 n) x)
	39.9b	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
	39.7b	(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
✓	15.4b	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
	30.9b	(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (*.f64 n n) n))
	37.9b	(/.f64 (-.f64 x (log.f64 x)) n)
	52.4b	(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 n (*.f64 (/.f64 x n) (neg.f64 (log.f64 x)))))
	38.0b	(/.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 n (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
	37.9b	(/.f64 (neg.f64 (log.f64 x)) n)
	39.8b	(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
	29.9b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶	61.1b	(/.f64 x n)
	15.4b	(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
✓	39.7b	(/.f64 1 (*.f64 x n))
	15.5b	(/.f64 1/2 (*.f64 n (/.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
▶	40.6b	(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
▶	40.3b	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
✓	44.0b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	21.2b	(+.f64 (/.f64 (log.f64 (-.f64 x -1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (-.f64 x -1)) 2))))))
	38.1b	(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
	47.4b	(+.f64 (neg.f64 (.f64 (/.f64 n (log.f64 x)) (/.f64 1 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))) (/.f64 x n))
	51.4b	(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
	44.8b	(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
	45.3b	(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
	54.7b	(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
	59.2b	(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
	39.1b	(*.f64 (/.f64 2 x) (/.f64 1/2 n))
	42.1b	(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
	37.9b	(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
▶	15.4b	(.f64 (/.f64 1 n) (.f64 2 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x)))))
	37.9b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	39.2b	(*.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))) (/.f64 (pow.f64 (log.f64 x) 2) n))
	39.2b	(*.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))) (/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (log.f64 x))))
	38.1b	(.f64 (/.f64 -2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (/.f64 (/.f64 (/.f64 n 2) n) (/.f64 n (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
	52.7b	(.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (.f64 (log.f64 x) (/.f64 (/.f64 x (neg.f64 n)) n)))
▶	46.6b	(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
	39.8b	(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
	43.9b	(*.f64 (neg.f64 n) (/.f64 (/.f64 (/.f64 1 x) n) (neg.f64 n)))
	46.7b	(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
	46.6b	(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
	59.3b	(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
	29.2b	(neg.f64 (/.f64 (/.f64 (/.f64 -1 x) (exp.f64 (neg.f64 (/.f64 (log.f64 x) n)))) n))
	39.1b	(neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 x n)) (/.f64 1 x)) n))

Compiler

Compiled 1527 to 1054 computations (31% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (sqrt.f64 x))
✓	0.2b	(.f64 (/.f64 1 n) (.f64 2 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x)))))
✓	1.7b	(log.f64 (sqrt.f64 (+.f64 x 1)))
✓	2.4b	(-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x)))

Compiler

Compiled 61 to 39 computations (36.1% saved)

series80.0ms (0.2%)

Counts

4 → 16

Calls

15 calls:

Time	Variable		Point	Expression
57.0ms	n	@	0	(.f64 (/.f64 1 n) (.f64 2 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x)))))
12.0ms	n	@	inf	(.f64 (/.f64 1 n) (.f64 2 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x)))))
2.0ms	x	@	inf	(-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x)))
2.0ms	x	@	-inf	(-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x)))
2.0ms	x	@	inf	(.f64 (/.f64 1 n) (.f64 2 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x)))))

rewrite85.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`rational.json-simplify-2`
1236×	`rational.json-1`
1236×	`rational.json-2`
1236×	`rational.json-3`
1224×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	100
1	119	94
2	270	90
3	577	78
4	1290	78
5	3970	78

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

Inputs
(-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x)))
(log.f64 (sqrt.f64 (+.f64 x 1)))
(.f64 (/.f64 1 n) (.f64 2 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x)))))
(log.f64 (sqrt.f64 x))

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

simplify87.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational.json-simplify-54`
1100×	`rational.json-simplify-2`
954×	`rational.json-simplify-35`
776×	`rational.json-simplify-49`
770×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	5871
1	1005	4427
2	4147	4423

Stop Event

1×	node limit

Counts

171 → 177

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(+.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 0)
(+.f64 0 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2))
(+.f64 -1 (+.f64 1 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2)))
(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/4) (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/4))
(+.f64 (+.f64 1 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2)) -1)
(.f64 1 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 1)
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/4))
(.f64 2 (-.f64 (.f64 (log.f64 (+.f64 x 1)) 1/4) (*.f64 (log.f64 x) 1/4)))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2)
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 -1 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -1/2))
(.f64 (.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 1/4)
(.f64 4 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/8))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -1/2) -1)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) 1/8)
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/4) 2)
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -1/2)
(.f64 1/4 (.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/8) 4)
(.f64 1/8 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))
(*.f64 -1/2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 1)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(/.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 4)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -1/2) -1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) 8)
(/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4)) 16)
(pow.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 1)
(neg.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -1/2))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) 0)
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 (.f64 (log.f64 (+.f64 x 1)) 1/4) (.f64 (log.f64 (+.f64 x 1)) 1/4))
(-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) 0)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) 1)
(.f64 2 (.f64 (log.f64 (+.f64 x 1)) 1/4))
(*.f64 1/2 (log.f64 (+.f64 x 1)))
(*.f64 (log.f64 (+.f64 x 1)) 1/2)
(*.f64 4 (/.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) 4))
(*.f64 (log.f64 (pow.f64 (+.f64 x 1) 2)) 1/4)
(*.f64 1/4 (log.f64 (pow.f64 (+.f64 x 1) 2)))
(.f64 (.f64 (log.f64 (+.f64 x 1)) 1/4) 2)
(*.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) 4) 4)
(/.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) 1)
(/.f64 (log.f64 (+.f64 x 1)) 2)
(/.f64 (log.f64 (pow.f64 (+.f64 x 1) 2)) 4)
(/.f64 (*.f64 (log.f64 (+.f64 x 1)) 4) 8)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 x 1)) 4)) 16)
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 0)
(+.f64 0 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n))
(+.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 1/2 n)) (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 1/2 n)))
(-.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 0)
(-.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 1/2 n)) (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (.f64 n -2)))
(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (.f64 n 1/2))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (/.f64 (.f64 n n) (+.f64 n n)))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (/.f64 n (.f64 2 (/.f64 n n))))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (/.f64 (neg.f64 n) -2))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (/.f64 (/.f64 (+.f64 n n) (.f64 2 (/.f64 n n))) 2))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (/.f64 (.f64 1/2 (neg.f64 n)) -1))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (/.f64 (/.f64 n -2) -1))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (/.f64 (/.f64 (.f64 n 4) (*.f64 2 (/.f64 n n))) 4))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (/.f64 (/.f64 (.f64 n 8) (*.f64 2 (/.f64 n n))) 8))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (/.f64 (.f64 1/2 (.f64 2 (.f64 n 8))) 16))
(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 2 (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (*.f64 n n) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (neg.f64 (+.f64 n n)) -2))
(/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 1)
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 1/2 n)) 1/2)
(/.f64 1/2 (/.f64 (*.f64 n 1/2) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 -1 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(/.f64 -1 (neg.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (+.f64 n n))
(/.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 n 1/2))
(/.f64 (.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (neg.f64 (.f64 n -2)))
(/.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (/.f64 (+.f64 n n) 1/2) 2))
(/.f64 (.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (/.f64 (.f64 n 4) 1/2) 4))
(/.f64 4 (*.f64 4 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (*.f64 2 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)) 2)
(/.f64 (/.f64 2 n) (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -1/2) (.f64 1/2 (neg.f64 n)))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -1/2) (neg.f64 (.f64 n 1/2)))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) (.f64 n 4))
(/.f64 8 (/.f64 (*.f64 n 8) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 4) 4)
(/.f64 -2 (neg.f64 (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/4) (/.f64 (.f64 n n) (*.f64 n 4)))
(/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (neg.f64 n))
(/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (*.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (+.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4)) (*.f64 n 8))
(/.f64 (.f64 2 (.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 4)) 8)
(/.f64 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (.f64 n -2))
(/.f64 (*.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (neg.f64 (+.f64 n n)))
(/.f64 -4 (-.f64 0 (*.f64 4 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(/.f64 (.f64 4 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (.f64 (*.f64 n 4) (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (*.f64 n 4)) 1/4)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))) (.f64 2 (.f64 n -2)))
(/.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))) (*.f64 2 (neg.f64 (+.f64 n n))))
(/.f64 -8 (-.f64 0 (/.f64 (*.f64 n 8) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 -1/2 (-.f64 0 (/.f64 (*.f64 n 1/2) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (neg.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))) (neg.f64 (*.f64 n 8)))
(/.f64 (/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4)) n) 8)
(/.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 1/2) n)
(/.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 1/2) (/.f64 (.f64 n 1/2) 1/2))
(/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (+.f64 n n))
(/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (/.f64 n 1/2))
(/.f64 (/.f64 (.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 1/2) (.f64 n 4))
(/.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -1/2) 1/2) (neg.f64 n))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 4) 1/2) 8)
(/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 1/2) (*.f64 n -2))
(/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) -1)
(/.f64 (neg.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (-.f64 0 (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4)) (neg.f64 (.f64 n 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))) (.f64 n 4))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))) (-.f64 0 (neg.f64 (.f64 n 4))))
(/.f64 (neg.f64 (/.f64 1 n)) (-.f64 0 (/.f64 1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (neg.f64 (/.f64 2 n)) (-.f64 0 (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (neg.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))) (-.f64 0 (.f64 2 (.f64 n -2))))
(/.f64 (neg.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))) (-.f64 0 (*.f64 2 (neg.f64 (+.f64 n n)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 1/2)) (neg.f64 n))
(/.f64 (neg.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2)) (neg.f64 (+.f64 n n)))
(/.f64 (neg.f64 (/.f64 (.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 1/2)) (neg.f64 (.f64 n 4)))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -1/2) 1/2)) n)
(/.f64 (neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 1/2)) (neg.f64 (*.f64 n -2)))
(pow.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 1)
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(+.f64 (log.f64 (sqrt.f64 x)) 0)
(+.f64 0 (log.f64 (sqrt.f64 x)))
(+.f64 (.f64 (log.f64 x) 1/4) (.f64 (log.f64 x) 1/4))
(-.f64 (log.f64 (sqrt.f64 x)) 0)
(*.f64 1 (log.f64 (sqrt.f64 x)))
(*.f64 (log.f64 (sqrt.f64 x)) 1)
(.f64 2 (.f64 (log.f64 x) 1/4))
(*.f64 1/2 (log.f64 x))
(*.f64 (log.f64 x) 1/2)
(*.f64 4 (/.f64 (log.f64 (sqrt.f64 x)) 4))
(.f64 (.f64 2 (log.f64 x)) 1/4)
(.f64 1/4 (.f64 2 (log.f64 x)))
(.f64 (.f64 (log.f64 x) 1/4) 2)
(*.f64 (/.f64 (log.f64 (sqrt.f64 x)) 4) 4)
(/.f64 (log.f64 (sqrt.f64 x)) 1)
(/.f64 (log.f64 x) 2)
(/.f64 (*.f64 2 (log.f64 x)) 4)
(/.f64 (*.f64 (log.f64 x) 4) 8)
(/.f64 (.f64 2 (.f64 (log.f64 x) 4)) 16)
(pow.f64 (log.f64 (sqrt.f64 x)) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 1/2 x) (.f64 -1/4 (pow.f64 x 2))) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 x))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(+.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 0)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(+.f64 0 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(+.f64 -1 (+.f64 1 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(+.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/4) (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/4))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(+.f64 (+.f64 1 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2)) -1)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 1 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 1)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/4))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 2 (-.f64 (.f64 (log.f64 (+.f64 x 1)) 1/4) (*.f64 (log.f64 x) 1/4)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(.f64 -1 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -1/2))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 (.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 1/4)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 4 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/8))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -1/2) -1)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) 1/8)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/4) 2)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) -1/2)
(*.f64 -1/2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))
(.f64 1/4 (.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/8) 4)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(.f64 1/8 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(*.f64 -1/2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 1)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(/.f64 (*.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 4)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -1/2) -1)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 (sqrt.f64 x))))
(*.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4) 8)
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(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (*.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 1 n))))
(/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (*.f64 n 4)) 1/4)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 4))) 16)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))) (.f64 2 (.f64 n -2)))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))) (*.f64 2 (neg.f64 (+.f64 n n))))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 -8 (-.f64 0 (/.f64 (*.f64 n 8) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 -1/2 (-.f64 0 (/.f64 (*.f64 n 1/2) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (neg.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))) (neg.f64 (*.f64 n 8)))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4)) n) 8)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 1/2) n)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (/.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 1/2) (/.f64 (.f64 n 1/2) 1/2))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (+.f64 n n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) (/.f64 n 1/2))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (/.f64 (.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 1/2) (.f64 n 4))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -1/2) 1/2) (neg.f64 n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 4) 1/2) 8)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 1/2) (*.f64 n -2))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) -1)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (neg.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (-.f64 0 (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))
(/.f64 (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) n) (/.f64 n (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (/.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4)) (neg.f64 (.f64 n 4)))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))) (.f64 n 4))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 4))) (-.f64 0 (neg.f64 (.f64 n 4))))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (neg.f64 (/.f64 1 n)) (-.f64 0 (/.f64 1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (neg.f64 (/.f64 2 n)) (-.f64 0 (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (neg.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))) (-.f64 0 (.f64 2 (.f64 n -2))))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (neg.f64 (.f64 2 (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))) (-.f64 0 (*.f64 2 (neg.f64 (+.f64 n n)))))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2) 1/2)) (neg.f64 n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (neg.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 1/2)) (neg.f64 (+.f64 n n)))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (neg.f64 (/.f64 (.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 1/2)) (neg.f64 (.f64 n 4)))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) -1/2) 1/2)) n)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) 1/2)) (neg.f64 (*.f64 n -2)))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(pow.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 1)
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(*.f64 2 (/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x))) n))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(+.f64 (log.f64 (sqrt.f64 x)) 0)
(log.f64 (sqrt.f64 x))
(+.f64 0 (log.f64 (sqrt.f64 x)))
(log.f64 (sqrt.f64 x))
(+.f64 (.f64 (log.f64 x) 1/4) (.f64 (log.f64 x) 1/4))
(log.f64 (sqrt.f64 x))
(-.f64 (log.f64 (sqrt.f64 x)) 0)
(log.f64 (sqrt.f64 x))
(*.f64 1 (log.f64 (sqrt.f64 x)))
(log.f64 (sqrt.f64 x))
(*.f64 (log.f64 (sqrt.f64 x)) 1)
(log.f64 (sqrt.f64 x))
(.f64 2 (.f64 (log.f64 x) 1/4))
(log.f64 (sqrt.f64 x))
(*.f64 1/2 (log.f64 x))
(log.f64 (sqrt.f64 x))
(*.f64 (log.f64 x) 1/2)
(log.f64 (sqrt.f64 x))
(*.f64 4 (/.f64 (log.f64 (sqrt.f64 x)) 4))
(.f64 4 (.f64 (log.f64 x) 1/8))
(.f64 (.f64 2 (log.f64 x)) 1/4)
(log.f64 (sqrt.f64 x))
(.f64 1/4 (.f64 2 (log.f64 x)))
(log.f64 (sqrt.f64 x))
(.f64 (.f64 (log.f64 x) 1/4) 2)
(log.f64 (sqrt.f64 x))
(*.f64 (/.f64 (log.f64 (sqrt.f64 x)) 4) 4)
(*.f64 4 (/.f64 (log.f64 (sqrt.f64 x)) 4))
(.f64 4 (.f64 (log.f64 x) 1/8))
(/.f64 (log.f64 (sqrt.f64 x)) 1)
(log.f64 (sqrt.f64 x))
(/.f64 (log.f64 x) 2)
(/.f64 (*.f64 2 (log.f64 x)) 4)
(log.f64 (sqrt.f64 x))
(/.f64 (*.f64 (log.f64 x) 4) 8)
(log.f64 (sqrt.f64 x))
(/.f64 (.f64 2 (.f64 (log.f64 x) 4)) 16)
(log.f64 (sqrt.f64 x))
(pow.f64 (log.f64 (sqrt.f64 x)) 1)
(log.f64 (sqrt.f64 x))

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.0b	(.f64 x (.f64 x (*.f64 n n)))
✓	6.9b	(/.f64 n (neg.f64 (.f64 x (.f64 x (*.f64 n n)))))
✓	7.4b	(.f64 x (.f64 n n))
✓	17.6b	(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 x (.f64 n n))))))

Compiler

Compiled 52 to 9 computations (82.7% saved)

series5.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(/.f64 n (neg.f64 (.f64 x (.f64 x (*.f64 n n)))))
1.0ms	x	@	0	(/.f64 n (neg.f64 (.f64 x (.f64 x (*.f64 n n)))))
1.0ms	n	@	inf	(/.f64 n (neg.f64 (.f64 x (.f64 x (*.f64 n n)))))
0.0ms	x	@	inf	(/.f64 n (neg.f64 (.f64 x (.f64 x (*.f64 n n)))))
0.0ms	n	@	inf	(.f64 x (.f64 x (*.f64 n n)))

rewrite67.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`exponential.json-3`
1342×	`rational.json-1`
1342×	`rational.json-2`
1342×	`rational.json-4`
1342×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	100
1	90	100
2	235	100
3	729	92
4	3355	92

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

Inputs
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
(.f64 x (.f64 n n))
(/.f64 n (neg.f64 (.f64 x (.f64 x (*.f64 n n)))))
(.f64 x (.f64 x (*.f64 n n)))

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

simplify94.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1326×	`rational.json-simplify-38`
1104×	`rational.json-simplify-43`
836×	`rational.json-simplify-2`
746×	`rational.json-simplify-40`
680×	`rational.json-simplify-39`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	4050
1	668	4034
2	2446	3594
3	5167	3594

Stop Event

1×	node limit

Counts

194 → 141

Calls

Call 1

Inputs
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
(*.f64 (pow.f64 n 2) x)
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(/.f64 -1 (*.f64 n (pow.f64 x 2)))
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(/.f64 -1 (*.f64 n (pow.f64 x 2)))
(/.f64 -1 (*.f64 n (pow.f64 x 2)))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
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(*.f64 (pow.f64 n 2) (pow.f64 x 2))
(*.f64 (pow.f64 n 2) (pow.f64 x 2))
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(/.f64 x (.f64 x (/.f64 (.f64 x (*.f64 n n)) n)))
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(/.f64 (/.f64 x (.f64 x (/.f64 (.f64 x (*.f64 n n)) (neg.f64 n)))) -1)
(/.f64 (.f64 n -2) (/.f64 (.f64 x (.f64 (.f64 x (*.f64 n n)) -2)) x))
(/.f64 (.f64 2 (.f64 (.f64 x (/.f64 n (.f64 x (.f64 x (.f64 n n))))) 4)) 8)
(/.f64 (/.f64 (.f64 x -2) (.f64 x (/.f64 (.f64 x (.f64 n n)) n))) -2)
(/.f64 (/.f64 (.f64 x 4) (.f64 x (/.f64 (.f64 x (.f64 n n)) (neg.f64 n)))) -4)
(/.f64 (/.f64 (.f64 (neg.f64 x) 4) (.f64 x (/.f64 (.f64 x (.f64 n n)) (neg.f64 n)))) 4)
(/.f64 (/.f64 x x) (/.f64 (.f64 x (.f64 n n)) n))
(/.f64 (/.f64 (neg.f64 x) (.f64 x (.f64 x (*.f64 n n)))) (/.f64 -1 n))
(/.f64 (/.f64 x (.f64 x (.f64 n n))) (/.f64 x n))
(/.f64 (neg.f64 (.f64 x -2)) (-.f64 0 (.f64 (.f64 x (.f64 x (*.f64 n n))) (/.f64 -2 n))))
(/.f64 (neg.f64 (/.f64 x (.f64 x (.f64 x (*.f64 n n))))) (-.f64 0 (/.f64 1 n)))
(/.f64 (neg.f64 (/.f64 x x)) (-.f64 0 (/.f64 (.f64 x (.f64 n n)) n)))
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(/.f64 (neg.f64 (/.f64 x (.f64 x (.f64 n n)))) (-.f64 0 (/.f64 x n)))
(pow.f64 (.f64 x (/.f64 n (.f64 x (.f64 x (.f64 n n))))) 1)
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Outputs
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(/.f64 n (.f64 n (.f64 n x)))
(/.f64 (neg.f64 (.f64 x -2)) (-.f64 0 (.f64 (.f64 x (.f64 x (*.f64 n n))) (/.f64 -2 n))))
(.f64 x (/.f64 n (.f64 x (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n n) (*.f64 n x))
(/.f64 n (.f64 n (.f64 n x)))
(/.f64 (neg.f64 (/.f64 x (.f64 x (.f64 x (*.f64 n n))))) (-.f64 0 (/.f64 1 n)))
(.f64 x (/.f64 n (.f64 x (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n n) (*.f64 n x))
(/.f64 n (.f64 n (.f64 n x)))
(/.f64 (neg.f64 (/.f64 x x)) (-.f64 0 (/.f64 (.f64 x (.f64 n n)) n)))
(.f64 x (/.f64 n (.f64 x (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n n) (*.f64 n x))
(/.f64 n (.f64 n (.f64 n x)))
(/.f64 (neg.f64 (/.f64 (neg.f64 x) (.f64 x (.f64 x (*.f64 n n))))) (-.f64 0 (/.f64 -1 n)))
(.f64 x (/.f64 n (.f64 x (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n n) (*.f64 n x))
(/.f64 n (.f64 n (.f64 n x)))
(/.f64 (neg.f64 (/.f64 x (.f64 x (.f64 n n)))) (-.f64 0 (/.f64 x n)))
(.f64 x (/.f64 n (.f64 x (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n n) (*.f64 n x))
(/.f64 n (.f64 n (.f64 n x)))
(pow.f64 (.f64 x (/.f64 n (.f64 x (.f64 x (.f64 n n))))) 1)
(.f64 x (/.f64 n (.f64 x (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n n) (*.f64 n x))
(/.f64 n (.f64 n (.f64 n x)))
(neg.f64 (/.f64 x (.f64 x (/.f64 (.f64 x (*.f64 n n)) (neg.f64 n)))))
(.f64 x (/.f64 n (.f64 x (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n n) (*.f64 n x))
(/.f64 n (.f64 n (.f64 n x)))
(+.f64 (.f64 x (.f64 n n)) 0)
(.f64 n (.f64 n x))
(+.f64 0 (.f64 x (.f64 n n)))
(.f64 n (.f64 n x))
(-.f64 (.f64 x (.f64 n n)) 0)
(.f64 n (.f64 n x))
(-.f64 0 (.f64 x (neg.f64 (.f64 n n))))
(.f64 n (.f64 n x))
(/.f64 x (/.f64 1 (*.f64 n n)))
(/.f64 x (/.f64 (/.f64 1 n) n))
(*.f64 n (/.f64 n (/.f64 1 x)))
(/.f64 n (/.f64 1 (*.f64 n x)))
(/.f64 (neg.f64 x) (-.f64 0 (/.f64 1 (*.f64 n n))))
(/.f64 x (/.f64 (/.f64 1 n) n))
(*.f64 n (/.f64 n (/.f64 1 x)))
(/.f64 n (/.f64 1 (*.f64 n x)))
(/.f64 (.f64 x (.f64 n n)) 1)
(.f64 n (.f64 n x))
(/.f64 (.f64 (.f64 n n) (+.f64 x x)) 2)
(.f64 n (.f64 n x))
(/.f64 (.f64 (.f64 x (*.f64 n n)) 4) 4)
(.f64 n (.f64 n x))
(/.f64 (.f64 2 (.f64 (.f64 x (.f64 n n)) 4)) 8)
(.f64 n (.f64 n x))
(pow.f64 (.f64 x (.f64 n n)) 1)
(.f64 n (.f64 n x))
(neg.f64 (.f64 x (neg.f64 (.f64 n n))))
(.f64 n (.f64 n x))
(+.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n))))) 0)
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(+.f64 0 (/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n))))))
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(+.f64 -1 (-.f64 1 (/.f64 n (.f64 x (.f64 x (*.f64 n n))))))
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(+.f64 (-.f64 1 (/.f64 n (.f64 x (.f64 x (*.f64 n n))))) -1)
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(-.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n))))) 0)
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(-.f64 0 (/.f64 n (.f64 x (.f64 x (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(.f64 n (/.f64 -1 (.f64 x (.f64 x (.f64 n n)))))
(.f64 n (/.f64 -1 (.f64 x (.f64 n (.f64 n x)))))
(.f64 n (/.f64 (/.f64 -1 x) (.f64 n (*.f64 n x))))
(.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (.f64 n n))))) 1)
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(.f64 1 (/.f64 n (.f64 x (.f64 x (neg.f64 (.f64 n n))))))
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(.f64 -1 (/.f64 n (.f64 x (.f64 x (.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(.f64 (+.f64 n n) (/.f64 -1/2 (.f64 x (.f64 x (.f64 n n)))))
(.f64 (+.f64 n n) (/.f64 (/.f64 -1/2 x) (.f64 n (*.f64 n x))))
(.f64 (+.f64 n n) (/.f64 (/.f64 (/.f64 -1/2 x) n) (.f64 n x)))
(.f64 (+.f64 n n) (.f64 (/.f64 -1 (.f64 x (.f64 x (*.f64 n n)))) 1/2))
(.f64 n (/.f64 -1 (.f64 x (.f64 n (.f64 n x)))))
(.f64 n (/.f64 (/.f64 -1 x) (.f64 n (*.f64 n x))))
(.f64 2 (/.f64 n (.f64 x (.f64 (.f64 x (*.f64 n n)) -2))))
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(.f64 2 (/.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (.f64 n n))))) 2))
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(.f64 (/.f64 -2 (.f64 x (/.f64 (.f64 x (.f64 n n)) n))) 1/2)
(.f64 (/.f64 -2 (.f64 x (.f64 (.f64 n n) (/.f64 x n)))) 1/2)
(.f64 (/.f64 -2 (.f64 x (.f64 (.f64 n x) (/.f64 n n)))) 1/2)
(.f64 (/.f64 n (/.f64 (.f64 n (*.f64 n x)) (/.f64 -2 x))) 1/2)
(.f64 (.f64 n 4) (/.f64 1 (.f64 (.f64 x (.f64 x (.f64 n n))) -4)))
(.f64 n (.f64 4 (/.f64 1 (.f64 (.f64 x (.f64 n (.f64 n x))) -4))))
(.f64 n (.f64 4 (/.f64 -1/4 (.f64 x (.f64 n (*.f64 n x))))))
(.f64 n (.f64 4 (/.f64 -1/4 (.f64 n (.f64 x (*.f64 n x))))))
(.f64 (/.f64 n (.f64 x (.f64 x (.f64 n n)))) -1)
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(.f64 (/.f64 -1 (.f64 x (.f64 x (.f64 n n)))) n)
(.f64 n (/.f64 -1 (.f64 x (.f64 n (.f64 n x)))))
(.f64 n (/.f64 (/.f64 -1 x) (.f64 n (*.f64 n x))))
(.f64 (neg.f64 n) (/.f64 1 (.f64 x (.f64 x (.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(.f64 (/.f64 1 (.f64 x (.f64 x (.f64 n n)))) (neg.f64 n))
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(.f64 1/2 (/.f64 -2 (.f64 x (/.f64 (.f64 x (.f64 n n)) n))))
(.f64 (/.f64 -2 (.f64 x (.f64 (.f64 n n) (/.f64 x n)))) 1/2)
(.f64 (/.f64 -2 (.f64 x (.f64 (.f64 n x) (/.f64 n n)))) 1/2)
(.f64 (/.f64 n (/.f64 (.f64 n (*.f64 n x)) (/.f64 -2 x))) 1/2)
(.f64 (/.f64 -1/2 (.f64 x (.f64 x (.f64 n n)))) (+.f64 n n))
(.f64 (+.f64 n n) (/.f64 (/.f64 -1/2 x) (.f64 n (*.f64 n x))))
(.f64 (+.f64 n n) (/.f64 (/.f64 (/.f64 -1/2 x) n) (.f64 n x)))
(.f64 (.f64 (/.f64 -1 (.f64 x (.f64 x (*.f64 n n)))) 1/2) (+.f64 n n))
(.f64 n (/.f64 -1 (.f64 x (.f64 n (.f64 n x)))))
(.f64 n (/.f64 (/.f64 -1 x) (.f64 n (*.f64 n x))))
(.f64 (/.f64 n (.f64 x (.f64 (.f64 x (*.f64 n n)) -2))) 2)
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(.f64 (/.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (.f64 n n))))) 2) 2)
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(.f64 (/.f64 1 (.f64 (.f64 x (.f64 x (.f64 n n))) -4)) (.f64 n 4))
(.f64 n (.f64 4 (/.f64 1 (.f64 (.f64 x (.f64 n (.f64 n x))) -4))))
(.f64 n (.f64 4 (/.f64 -1/4 (.f64 x (.f64 n (*.f64 n x))))))
(.f64 n (.f64 4 (/.f64 -1/4 (.f64 n (.f64 x (*.f64 n x))))))
(pow.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n))))) 1)
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(neg.f64 (/.f64 n (.f64 x (.f64 x (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(/.f64 n (.f64 x (.f64 x (*.f64 n (neg.f64 n)))))
(/.f64 (/.f64 n x) (.f64 (.f64 n x) (neg.f64 n)))
(/.f64 (/.f64 n x) (.f64 n (neg.f64 (.f64 n x))))
(+.f64 (.f64 x (.f64 x (*.f64 n n))) 0)
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(+.f64 0 (.f64 x (.f64 x (*.f64 n n))))
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(+.f64 -1 (-.f64 (.f64 x (.f64 x (*.f64 n n))) -1))
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(+.f64 (-.f64 (.f64 x (.f64 x (*.f64 n n))) -1) -1)
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(-.f64 (.f64 x (.f64 x (*.f64 n n))) 0)
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(-.f64 0 (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(-.f64 1 (-.f64 1 (.f64 x (.f64 x (*.f64 n n)))))
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(/.f64 (.f64 x (.f64 x (*.f64 n n))) 1)
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(/.f64 (.f64 x (.f64 x (neg.f64 (*.f64 n n)))) -1)
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(/.f64 (.f64 (.f64 x (*.f64 n n)) (+.f64 x x)) 2)
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(/.f64 (.f64 x x) (/.f64 1 (.f64 n n)))
(*.f64 x (/.f64 x (/.f64 (/.f64 1 n) n)))
(.f64 n (/.f64 n (/.f64 1 (.f64 x x))))
(/.f64 (.f64 n n) (/.f64 1 (.f64 x x)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 n n))) 4) 4)
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(/.f64 (.f64 x (neg.f64 x)) (-.f64 0 (/.f64 1 (.f64 n n))))
(*.f64 x (/.f64 x (/.f64 (/.f64 1 n) n)))
(.f64 n (/.f64 n (/.f64 1 (.f64 x x))))
(/.f64 (.f64 n n) (/.f64 1 (.f64 x x)))
(/.f64 (.f64 2 (.f64 (.f64 x (.f64 x (*.f64 n n))) 4)) 8)
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 n n))) (.f64 x (.f64 x (.f64 n n)))) (.f64 x (.f64 x (.f64 n n))))
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(/.f64 (.f64 (.f64 x (.f64 x (neg.f64 (.f64 n n)))) (.f64 x (.f64 x (neg.f64 (.f64 n n))))) (.f64 x (.f64 x (.f64 n n))))
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(pow.f64 (.f64 x (.f64 x (*.f64 n n))) 1)
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(neg.f64 (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(fabs.f64 (.f64 x (.f64 x (*.f64 n n))))
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))
(fabs.f64 (.f64 x (.f64 x (neg.f64 (*.f64 n n)))))
(.f64 x (.f64 n (*.f64 n x)))
(.f64 n (.f64 x (*.f64 n x)))

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (pow.f64 x 2))
	0.8b	(/.f64 1 (*.f64 x n))
✓	2.3b	(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
✓	8.2b	(/.f64 (/.f64 1 (pow.f64 x 2)) n)

Compiler

Compiled 54 to 36 computations (33.3% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite105.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2098×	`rational.json-1`
1760×	`rational.json-simplify-35`
1068×	`exponential.json-3`
1068×	`rational.json-2`
1068×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	111	75
2	292	75
3	842	69
4	3000	69
5	7712	69

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs
(/.f64 (/.f64 1 (pow.f64 x 2)) n)
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
(/.f64 1 (pow.f64 x 2))

Outputs

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

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

simplify148.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

976×	`rational.json-simplify-53`
834×	`rational.json-simplify-2`
820×	`rational.json-simplify-1`
746×	`rational.json-simplify-46`
532×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	3837
1	335	3745
2	726	3553
3	2218	3553
4	4625	3553
5	6893	3553

Stop Event

1×	node limit

Counts

141 → 118

Calls

Call 1

Inputs
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(+.f64 (/.f64 1 (*.f64 (pow.f64 x 2) n)) 0)
(+.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))
(+.f64 0 (/.f64 1 (*.f64 (pow.f64 x 2) n)))
(-.f64 (/.f64 1 (*.f64 (pow.f64 x 2) n)) 0)
(.f64 1 (/.f64 1 (.f64 (pow.f64 x 2) n)))
(*.f64 2 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))
(.f64 (pow.f64 x 2) (/.f64 2 (.f64 (+.f64 n n) (pow.f64 (*.f64 x x) 2))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 n))
(.f64 (/.f64 1 (pow.f64 x 2)) (.f64 2 (*.f64 1/2 (/.f64 1 n))))
(*.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1/2 n) (/.f64 1/2 n)))
(.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 1/2 (/.f64 1 n)) (*.f64 1/2 (/.f64 1 n))))
(.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1/2 n) (.f64 1/2 (/.f64 1 n))))
(.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 1/2 (/.f64 1 n)) (/.f64 1/2 n)))
(.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) 1)
(*.f64 1/2 (/.f64 (/.f64 2 n) (pow.f64 x 2)))
(*.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)) 2)
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 1/2 (/.f64 1 n)))
(*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1/2 n))
(.f64 (.f64 2 (pow.f64 x 2)) (/.f64 1 (.f64 (+.f64 n n) (pow.f64 (.f64 x x) 2))))
(*.f64 (/.f64 1 n) (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 (/.f64 2 n) (pow.f64 x 2)) 1/2)
(.f64 (.f64 2 (/.f64 2 (pow.f64 x 2))) (/.f64 1 (*.f64 n 4)))
(.f64 (/.f64 2 n) (.f64 (/.f64 1 (pow.f64 x 2)) 1/2))
(.f64 (/.f64 2 n) (/.f64 1 (.f64 2 (pow.f64 x 2))))
(*.f64 -1 (/.f64 (/.f64 -1 (pow.f64 x 2)) n))
(*.f64 -1 (/.f64 (/.f64 -1 n) (pow.f64 x 2)))
(*.f64 (/.f64 -1 (pow.f64 x 2)) (/.f64 -1 n))
(*.f64 (/.f64 -1 n) (/.f64 -1 (pow.f64 x 2)))
(.f64 (.f64 1/2 (/.f64 1 n)) (/.f64 2 (pow.f64 x 2)))
(.f64 (/.f64 (pow.f64 x 2) n) (/.f64 1 (pow.f64 (.f64 x x) 2)))
(.f64 (/.f64 1 (pow.f64 (.f64 x x) 2)) (/.f64 (pow.f64 x 2) n))
(.f64 (/.f64 2 (pow.f64 (.f64 x x) 2)) (/.f64 (pow.f64 x 2) (+.f64 n n)))
(*.f64 (/.f64 1/2 n) (/.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 (*.f64 1/2 (/.f64 1 n))) (/.f64 1 (pow.f64 x 2)))
(.f64 (/.f64 1 (.f64 2 (pow.f64 x 2))) (/.f64 2 n))
(*.f64 (/.f64 (/.f64 -1 (pow.f64 x 2)) n) -1)
(*.f64 (/.f64 (/.f64 -1 n) (pow.f64 x 2)) -1)
(.f64 (/.f64 (pow.f64 x 2) (+.f64 n n)) (/.f64 2 (pow.f64 (.f64 x x) 2)))
(.f64 (/.f64 1 (.f64 (+.f64 n n) (pow.f64 (.f64 x x) 2))) (.f64 2 (pow.f64 x 2)))
(.f64 (/.f64 2 (.f64 (+.f64 n n) (pow.f64 (*.f64 x x) 2))) (pow.f64 x 2))
(.f64 (/.f64 1 (.f64 n 4)) (*.f64 2 (/.f64 2 (pow.f64 x 2))))
(*.f64 (+.f64 (/.f64 1/2 n) (/.f64 1/2 n)) (/.f64 1 (pow.f64 x 2)))
(pow.f64 (/.f64 1 (*.f64 (pow.f64 x 2) n)) 1)
(neg.f64 (/.f64 (/.f64 -1 (pow.f64 x 2)) n))
(neg.f64 (/.f64 (/.f64 -1 n) (pow.f64 x 2)))
(+.f64 (/.f64 (/.f64 1 n) x) (neg.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2))))
(+.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 0)
(+.f64 0 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))))
(+.f64 -1 (-.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) -1))
(+.f64 (neg.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) (/.f64 (/.f64 1 n) x))
(+.f64 (-.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) -1) -1)
(*.f64 1 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))))
(*.f64 2 (/.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 2))
(.f64 1/2 (.f64 2 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 1)
(.f64 (.f64 2 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))) 1/2)
(*.f64 (-.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)) (/.f64 (/.f64 1 n) x)) -1)
(*.f64 -1 (-.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)) (/.f64 (/.f64 1 n) x)))
(*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 2) 2)
(/.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 1)
(/.f64 (*.f64 2 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))) 2)
(/.f64 (-.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)) (/.f64 (/.f64 1 n) x)) -1)
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 4)) 8)
(/.f64 (*.f64 2 (-.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)) (/.f64 (/.f64 1 n) x))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 4)) (.f64 2 (.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 4))) 16)
(pow.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 1)
(neg.f64 (-.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)) (/.f64 (/.f64 1 n) x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) 0)
(+.f64 0 (/.f64 1 (pow.f64 x 2)))
(+.f64 -1 (-.f64 1 (/.f64 -1 (pow.f64 x 2))))
(-.f64 (/.f64 1 (pow.f64 x 2)) 0)
(-.f64 0 (/.f64 -1 (pow.f64 x 2)))
(*.f64 1 (/.f64 1 (pow.f64 x 2)))
(*.f64 2 (/.f64 (/.f64 1 (pow.f64 x 2)) 2))
(.f64 2 (/.f64 (pow.f64 x 2) (.f64 2 (pow.f64 (*.f64 x x) 2))))
(.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 (.f64 x x) 2)))
(*.f64 (/.f64 1 (pow.f64 x 2)) 1)
(*.f64 1/2 (/.f64 2 (pow.f64 x 2)))
(*.f64 (/.f64 2 (pow.f64 x 2)) 1/2)
(.f64 (.f64 2 (pow.f64 x 2)) (/.f64 2 (.f64 (pow.f64 (.f64 x x) 2) 4)))
(.f64 (.f64 2 (/.f64 2 (pow.f64 x 2))) 1/4)
(*.f64 -1 (/.f64 -1 (pow.f64 x 2)))
(*.f64 (/.f64 -1 (pow.f64 x 2)) -1)
(.f64 (/.f64 1 (pow.f64 (.f64 x x) 2)) (pow.f64 x 2))
(.f64 (/.f64 2 (pow.f64 (.f64 x x) 2)) (/.f64 (pow.f64 x 2) 2))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) 2) 2)
(.f64 1/4 (.f64 2 (/.f64 2 (pow.f64 x 2))))
(.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 2 (pow.f64 (.f64 x x) 2)))
(.f64 (/.f64 2 (.f64 (pow.f64 (.f64 x x) 2) 4)) (.f64 2 (pow.f64 x 2)))
(.f64 (/.f64 (pow.f64 x 2) (.f64 2 (pow.f64 (*.f64 x x) 2))) 2)
(pow.f64 (/.f64 1 (pow.f64 x 2)) 1)
(neg.f64 (/.f64 -1 (pow.f64 x 2)))

Outputs
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(/.f64 (/.f64 -1/2 n) (pow.f64 x 2))
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(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
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(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
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(/.f64 1 (*.f64 n (pow.f64 x 2)))
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(-.f64 (/.f64 1 (*.f64 (pow.f64 x 2) n)) 0)
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(*.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1/2 n) (/.f64 1/2 n)))
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(.f64 (/.f64 1 (.f64 (pow.f64 x 2) n)) 1)
(/.f64 1 (*.f64 n (pow.f64 x 2)))
(*.f64 1/2 (/.f64 (/.f64 2 n) (pow.f64 x 2)))
(.f64 1/2 (/.f64 2 (.f64 n (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)) 2)
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(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
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(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
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(.f64 (.f64 2 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))) 1/2)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
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(*.f64 (-.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)) (/.f64 (/.f64 1 n) x)) -1)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
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(+.f64 (/.f64 1 (.f64 n x)) (/.f64 -1/2 (.f64 n (pow.f64 x 2))))
(*.f64 -1 (-.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)) (/.f64 (/.f64 1 n) x)))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (*.f64 n (pow.f64 x 2))))
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(*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 2) 2)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 -1/2 (.f64 n (pow.f64 x 2))))
(/.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 1)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 -1/2 (.f64 n (pow.f64 x 2))))
(/.f64 (*.f64 2 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))) 2)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 -1/2 (.f64 n (pow.f64 x 2))))
(/.f64 (-.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)) (/.f64 (/.f64 1 n) x)) -1)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 -1/2 (.f64 n (pow.f64 x 2))))
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 4) 4)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 -1/2 (.f64 n (pow.f64 x 2))))
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 4)) 8)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
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(/.f64 (*.f64 2 (-.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)) (/.f64 (/.f64 1 n) x))) -2)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (*.f64 n (pow.f64 x 2))))
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(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 4)) (.f64 2 (.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 4))) 16)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 -1/2 (.f64 n (pow.f64 x 2))))
(pow.f64 (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2))) 1)
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 -1/2 (.f64 n (pow.f64 x 2))))
(neg.f64 (-.f64 (/.f64 (/.f64 1/2 n) (pow.f64 x 2)) (/.f64 (/.f64 1 n) x)))
(-.f64 (/.f64 1 (.f64 n x)) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 (/.f64 1 x) n) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 n x)) (/.f64 -1/2 (.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 2)) 0)
(/.f64 1 (pow.f64 x 2))
(+.f64 0 (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(+.f64 -1 (-.f64 1 (/.f64 -1 (pow.f64 x 2))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 0)
(/.f64 1 (pow.f64 x 2))
(-.f64 0 (/.f64 -1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(*.f64 1 (/.f64 1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(*.f64 2 (/.f64 (/.f64 1 (pow.f64 x 2)) 2))
(/.f64 1 (pow.f64 x 2))
(.f64 2 (/.f64 (pow.f64 x 2) (.f64 2 (pow.f64 (*.f64 x x) 2))))
(/.f64 1 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 (.f64 x x) 2)))
(*.f64 (/.f64 1 (pow.f64 x 2)) 1)
(/.f64 1 (pow.f64 x 2))
(*.f64 1/2 (/.f64 2 (pow.f64 x 2)))
(*.f64 (/.f64 2 (pow.f64 x 2)) 1/2)
(*.f64 1/2 (/.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 (pow.f64 x 2)) (/.f64 2 (.f64 (pow.f64 (.f64 x x) 2) 4)))
(.f64 2 (.f64 (pow.f64 x 2) (/.f64 2 (.f64 (pow.f64 (.f64 x x) 2) 4))))
(.f64 (pow.f64 x 2) (.f64 (/.f64 1/2 (pow.f64 (*.f64 x x) 2)) 2))
(.f64 (pow.f64 x 2) (.f64 2 (/.f64 1/2 (pow.f64 (*.f64 x x) 2))))
(.f64 (.f64 2 (/.f64 2 (pow.f64 x 2))) 1/4)
(*.f64 1/2 (/.f64 2 (pow.f64 x 2)))
(*.f64 -1 (/.f64 -1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 -1 (pow.f64 x 2)) -1)
(/.f64 1 (pow.f64 x 2))
(.f64 (/.f64 1 (pow.f64 (.f64 x x) 2)) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 (.f64 x x) 2)))
(.f64 (/.f64 2 (pow.f64 (.f64 x x) 2)) (/.f64 (pow.f64 x 2) 2))
(/.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) 2) 2)
(/.f64 1 (pow.f64 x 2))
(.f64 1/4 (.f64 2 (/.f64 2 (pow.f64 x 2))))
(*.f64 1/2 (/.f64 2 (pow.f64 x 2)))
(.f64 (/.f64 (pow.f64 x 2) 2) (/.f64 2 (pow.f64 (.f64 x x) 2)))
(/.f64 1 (pow.f64 x 2))
(.f64 (/.f64 2 (.f64 (pow.f64 (.f64 x x) 2) 4)) (.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 (pow.f64 x 2) (/.f64 2 (.f64 (pow.f64 (.f64 x x) 2) 4))))
(.f64 (pow.f64 x 2) (.f64 (/.f64 1/2 (pow.f64 (*.f64 x x) 2)) 2))
(.f64 (pow.f64 x 2) (.f64 2 (/.f64 1/2 (pow.f64 (*.f64 x x) 2))))
(.f64 (/.f64 (pow.f64 x 2) (.f64 2 (pow.f64 (*.f64 x x) 2))) 2)
(/.f64 1 (pow.f64 x 2))
(pow.f64 (/.f64 1 (pow.f64 x 2)) 1)
(/.f64 1 (pow.f64 x 2))
(neg.f64 (/.f64 -1 (pow.f64 x 2)))
(/.f64 1 (pow.f64 x 2))

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 1 (*.f64 n x))
✓	5.2b	(*.f64 n (pow.f64 x 3))
✓	8.1b	(*.f64 n (pow.f64 x 2))
✓	10.7b	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))

Compiler

Compiled 105 to 72 computations (31.4% saved)

series6.0ms (0%)

Counts

4 → 20

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
1.0ms	n	@	inf	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
0.0ms	n	@	-inf	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
0.0ms	x	@	0	(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
0.0ms	x	@	0	(*.f64 n (pow.f64 x 3))

rewrite113.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2088×	`rational.json-1`
1718×	`rational.json-simplify-35`
1144×	`exponential.json-3`
1144×	`rational.json-2`
1144×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	112
1	156	112
2	352	112
3	943	106
4	3142	106
5	7595	106

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

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

simplify151.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1052×	`rational.json-simplify-2`
1038×	`rational.json-simplify-35`
972×	`rational.json-simplify-1`
888×	`rational.json-simplify-53`
832×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	404	5215
1	1190	5205
2	3265	5205
3	5287	5205
4	7407	5193

Stop Event

1×	node limit

Counts

217 → 224

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) n))
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(/.f64 1/3 (*.f64 n (pow.f64 x 3)))
(-.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
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(/.f64 1 (*.f64 n x))
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(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))) 4)) (.f64 2 (.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))) 4))) 16)
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(/.f64 1/2 (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
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(/.f64 2 (/.f64 (*.f64 2 (/.f64 1 n)) (pow.f64 x 2)))
(/.f64 (pow.f64 x 2) (/.f64 1 n))
(/.f64 (*.f64 n (pow.f64 x 2)) 1)
(/.f64 (.f64 2 (.f64 n (pow.f64 x 2))) 2)
(/.f64 4 (.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) 4))
(/.f64 4 (+.f64 (/.f64 (.f64 2 (/.f64 1 n)) (pow.f64 x 2)) (/.f64 (.f64 2 (/.f64 1 n)) (pow.f64 x 2))))
(/.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (/.f64 1 n)))
(/.f64 (*.f64 2 (pow.f64 x 2)) (/.f64 2 n))
(/.f64 (+.f64 n n) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(/.f64 (+.f64 n n) (/.f64 2 (pow.f64 x 2)))
(/.f64 (.f64 n (.f64 (pow.f64 x 2) 4)) 4)
(/.f64 -1 (/.f64 (/.f64 -1 n) (pow.f64 x 2)))
(/.f64 -1 (neg.f64 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (neg.f64 (*.f64 n (pow.f64 x 2))) -1)
(/.f64 (neg.f64 (pow.f64 x 2)) (/.f64 -1 n))
(/.f64 (neg.f64 n) (/.f64 -1 (pow.f64 x 2)))
(/.f64 (neg.f64 n) (neg.f64 (/.f64 1 (pow.f64 x 2))))
(/.f64 (*.f64 n n) (/.f64 n (pow.f64 x 2)))
(/.f64 8 (.f64 2 (.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) 4)))
(/.f64 (.f64 (.f64 2 (*.f64 n (pow.f64 x 2))) 4) 8)
(/.f64 (.f64 (pow.f64 x 2) 4) (.f64 (/.f64 1 n) 4))
(/.f64 (.f64 (pow.f64 x 2) 4) (.f64 2 (/.f64 2 n)))
(/.f64 -2 (+.f64 (/.f64 (/.f64 -1 n) (pow.f64 x 2)) (/.f64 (/.f64 -1 n) (pow.f64 x 2))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 1 (.f64 n (pow.f64 x 2)))) (neg.f64 (/.f64 1 (.f64 n (pow.f64 x 2))))))
(/.f64 -2 (-.f64 0 (.f64 2 (/.f64 1 (.f64 n (pow.f64 x 2))))))
(/.f64 (.f64 2 (neg.f64 (.f64 n (pow.f64 x 2)))) -2)
(/.f64 (.f64 2 (neg.f64 (pow.f64 x 2))) (.f64 2 (/.f64 -1 n)))
(/.f64 (.f64 n 4) (.f64 2 (/.f64 2 (pow.f64 x 2))))
(/.f64 (.f64 n 4) (.f64 2 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 (*.f64 n 4) (/.f64 4 (pow.f64 x 2)))
(/.f64 (.f64 n 4) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(/.f64 (.f64 2 (neg.f64 n)) (.f64 2 (/.f64 -1 (pow.f64 x 2))))
(/.f64 (.f64 2 (neg.f64 n)) (.f64 2 (neg.f64 (/.f64 1 (pow.f64 x 2)))))
(/.f64 (*.f64 2 (neg.f64 n)) (/.f64 -2 (pow.f64 x 2)))
(/.f64 (*.f64 (pow.f64 x 2) (neg.f64 n)) -1)
(/.f64 (neg.f64 (.f64 2 (.f64 n (pow.f64 x 2)))) -2)
(/.f64 -4 (-.f64 0 (.f64 (/.f64 1 (.f64 n (pow.f64 x 2))) 4)))
(/.f64 (*.f64 n (+.f64 n n)) (+.f64 (/.f64 n (pow.f64 x 2)) (/.f64 n (pow.f64 x 2))))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 4)) (.f64 2 (.f64 (/.f64 1 n) 4)))
(/.f64 (.f64 2 (.f64 n 4)) (+.f64 (.f64 2 (/.f64 2 (pow.f64 x 2))) (.f64 2 (/.f64 2 (pow.f64 x 2)))))
(/.f64 (.f64 2 (.f64 n 4)) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 4 (pow.f64 x 2))))
(/.f64 (.f64 2 (.f64 n 4)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(/.f64 (.f64 2 (.f64 2 (neg.f64 n))) (+.f64 (.f64 2 (/.f64 -1 (pow.f64 x 2))) (.f64 2 (/.f64 -1 (pow.f64 x 2)))))
(/.f64 (.f64 2 (.f64 2 (neg.f64 n))) (+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 (pow.f64 x 2))))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) (neg.f64 n))) -2)
(/.f64 (.f64 2 (.f64 (.f64 2 (.f64 n (pow.f64 x 2))) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 n (pow.f64 x 2))))) -4)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 n (pow.f64 x 2))))) -4)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (pow.f64 x 2)))) (.f64 2 (.f64 2 (/.f64 -1 n))))
(/.f64 -1/2 (neg.f64 (/.f64 1/2 (*.f64 n (pow.f64 x 2)))))
(/.f64 (/.f64 (*.f64 n 4) (/.f64 1 (pow.f64 x 2))) 4)
(/.f64 (/.f64 (pow.f64 x 2) (/.f64 -1 n)) -1)
(/.f64 (neg.f64 (.f64 2 (pow.f64 x 2))) (neg.f64 (.f64 2 (/.f64 1 n))))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 2))) (neg.f64 (/.f64 2 n)))
(/.f64 (neg.f64 (+.f64 n n)) (neg.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 (neg.f64 (+.f64 n n)) (neg.f64 (/.f64 2 (pow.f64 x 2))))
(/.f64 (neg.f64 (.f64 (pow.f64 x 2) 4)) (-.f64 0 (.f64 (/.f64 1 n) 4)))
(/.f64 (+.f64 (neg.f64 (.f64 2 (pow.f64 x 2))) (neg.f64 (.f64 2 (pow.f64 x 2)))) (+.f64 (neg.f64 (.f64 2 (/.f64 1 n))) (neg.f64 (.f64 2 (/.f64 1 n)))))
(/.f64 (+.f64 (/.f64 (.f64 n 4) (/.f64 1 (pow.f64 x 2))) (/.f64 (.f64 n 4) (/.f64 1 (pow.f64 x 2)))) 8)
(/.f64 (+.f64 (/.f64 (pow.f64 x 2) (/.f64 -1 n)) (/.f64 (pow.f64 x 2) (/.f64 -1 n))) -2)
(/.f64 (neg.f64 (neg.f64 (.f64 2 (pow.f64 x 2)))) (.f64 2 (/.f64 1 n)))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (pow.f64 x 2)))) (-.f64 0 (.f64 2 (/.f64 -1 n))))
(pow.f64 (*.f64 n (pow.f64 x 2)) 1)
(neg.f64 (neg.f64 (*.f64 n (pow.f64 x 2))))
(neg.f64 (*.f64 (pow.f64 x 2) (neg.f64 n)))
(neg.f64 (/.f64 (pow.f64 x 2) (/.f64 -1 n)))
(+.f64 (*.f64 n (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 n (pow.f64 x 3)))
(-.f64 (*.f64 n (pow.f64 x 3)) 0)
(-.f64 0 (neg.f64 (*.f64 n (pow.f64 x 3))))
(/.f64 1 (/.f64 1 (*.f64 n (pow.f64 x 3))))
(/.f64 n (/.f64 1 (pow.f64 x 3)))
(/.f64 n (neg.f64 (/.f64 -1 (pow.f64 x 3))))
(/.f64 n (neg.f64 (neg.f64 (/.f64 1 (pow.f64 x 3)))))
(/.f64 (pow.f64 x 3) (/.f64 1 n))
(/.f64 (*.f64 n (pow.f64 x 3)) 1)
(/.f64 2 (.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) 2))
(/.f64 2 (/.f64 (*.f64 2 (/.f64 1 n)) (pow.f64 x 3)))
(/.f64 (.f64 n (.f64 (pow.f64 x 3) 2)) 2)
(/.f64 4 (.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) 4))
(/.f64 4 (+.f64 (/.f64 (.f64 2 (/.f64 1 n)) (pow.f64 x 3)) (/.f64 (.f64 2 (/.f64 1 n)) (pow.f64 x 3))))
(/.f64 (.f64 (pow.f64 x 3) 2) (.f64 2 (/.f64 1 n)))
(/.f64 (*.f64 (pow.f64 x 3) 2) (/.f64 2 n))
(/.f64 (+.f64 n n) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 n n) (/.f64 2 (pow.f64 x 3)))
(/.f64 (.f64 n (.f64 (pow.f64 x 3) 4)) 4)
(/.f64 -1 (/.f64 (/.f64 -1 n) (pow.f64 x 3)))
(/.f64 -1 (neg.f64 (/.f64 1 (*.f64 n (pow.f64 x 3)))))
(/.f64 (neg.f64 n) (/.f64 -1 (pow.f64 x 3)))
(/.f64 (neg.f64 n) (neg.f64 (/.f64 1 (pow.f64 x 3))))
(/.f64 (neg.f64 (*.f64 n (pow.f64 x 3))) -1)
(/.f64 (neg.f64 (pow.f64 x 3)) (/.f64 -1 n))
(/.f64 (*.f64 n n) (/.f64 n (pow.f64 x 3)))
(/.f64 8 (.f64 2 (.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) 4)))
(/.f64 -2 (+.f64 (/.f64 (/.f64 -1 n) (pow.f64 x 3)) (/.f64 (/.f64 -1 n) (pow.f64 x 3))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 1 (.f64 n (pow.f64 x 3)))) (neg.f64 (/.f64 1 (.f64 n (pow.f64 x 3))))))
(/.f64 -2 (-.f64 0 (.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) 2)))
(/.f64 (.f64 (pow.f64 x 3) 4) (.f64 (/.f64 1 n) 4))
(/.f64 (.f64 (pow.f64 x 3) 4) (.f64 2 (/.f64 2 n)))
(/.f64 (.f64 n 4) (.f64 2 (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 (.f64 n 4) (.f64 2 (/.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 n 4) (/.f64 4 (pow.f64 x 3)))
(/.f64 (.f64 n 4) (.f64 4 (/.f64 1 (pow.f64 x 3))))
(/.f64 (.f64 2 (neg.f64 n)) (.f64 2 (/.f64 -1 (pow.f64 x 3))))
(/.f64 (.f64 2 (neg.f64 n)) (.f64 2 (neg.f64 (/.f64 1 (pow.f64 x 3)))))
(/.f64 (*.f64 2 (neg.f64 n)) (/.f64 -2 (pow.f64 x 3)))
(/.f64 (.f64 (+.f64 n n) (.f64 (pow.f64 x 3) 4)) 8)
(/.f64 (.f64 2 (neg.f64 (.f64 n (pow.f64 x 3)))) -2)
(/.f64 (.f64 2 (neg.f64 (pow.f64 x 3))) (.f64 2 (/.f64 -1 n)))
(/.f64 (*.f64 (pow.f64 x 3) (neg.f64 n)) -1)
(/.f64 (neg.f64 (.f64 n (.f64 (pow.f64 x 3) 2))) -2)
(/.f64 -4 (-.f64 0 (.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) 4)))
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 4)) (.f64 2 (.f64 (/.f64 1 n) 4)))
(/.f64 (*.f64 n (+.f64 n n)) (+.f64 (/.f64 n (pow.f64 x 3)) (/.f64 n (pow.f64 x 3))))
(/.f64 (.f64 (pow.f64 x 3) (.f64 2 (neg.f64 n))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 n n) (*.f64 (pow.f64 x 3) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 n (pow.f64 x 3))))) -4)
(/.f64 (.f64 2 (neg.f64 (.f64 n (*.f64 (pow.f64 x 3) 2)))) -4)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (pow.f64 x 3)))) (.f64 2 (.f64 2 (/.f64 -1 n))))
(/.f64 (.f64 2 (.f64 n 4)) (+.f64 (.f64 2 (/.f64 2 (pow.f64 x 3))) (.f64 2 (/.f64 2 (pow.f64 x 3)))))
(/.f64 (.f64 2 (.f64 n 4)) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3))))
(/.f64 (.f64 2 (.f64 n 4)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (.f64 4 (/.f64 1 (pow.f64 x 3)))))
(/.f64 (.f64 2 (.f64 2 (neg.f64 n))) (+.f64 (.f64 2 (/.f64 -1 (pow.f64 x 3))) (.f64 2 (/.f64 -1 (pow.f64 x 3)))))
(/.f64 (.f64 2 (.f64 2 (neg.f64 n))) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (pow.f64 x 3))))
(/.f64 (/.f64 (*.f64 n 4) (/.f64 1 (pow.f64 x 3))) 4)
(/.f64 (/.f64 (pow.f64 x 3) (/.f64 -1 n)) -1)
(/.f64 (neg.f64 (+.f64 n n)) (neg.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 (neg.f64 (+.f64 n n)) (neg.f64 (/.f64 2 (pow.f64 x 3))))
(/.f64 (neg.f64 (.f64 (pow.f64 x 3) 2)) (neg.f64 (.f64 2 (/.f64 1 n))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2)) (neg.f64 (/.f64 2 n)))
(/.f64 (neg.f64 (.f64 (pow.f64 x 3) 4)) (-.f64 0 (.f64 (/.f64 1 n) 4)))
(/.f64 (+.f64 (/.f64 (.f64 n 4) (/.f64 1 (pow.f64 x 3))) (/.f64 (.f64 n 4) (/.f64 1 (pow.f64 x 3)))) 8)
(/.f64 (+.f64 (/.f64 (pow.f64 x 3) (/.f64 -1 n)) (/.f64 (pow.f64 x 3) (/.f64 -1 n))) -2)
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 x 3) 2)) (neg.f64 (.f64 (pow.f64 x 3) 2))) (+.f64 (neg.f64 (.f64 2 (/.f64 1 n))) (neg.f64 (.f64 2 (/.f64 1 n)))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (pow.f64 x 3)))) (-.f64 0 (.f64 2 (/.f64 -1 n))))
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 x 3) 2))) (.f64 2 (/.f64 1 n)))
(pow.f64 (*.f64 n (pow.f64 x 3)) 1)
(neg.f64 (neg.f64 (*.f64 n (pow.f64 x 3))))
(neg.f64 (*.f64 (pow.f64 x 3) (neg.f64 n)))
(neg.f64 (/.f64 (pow.f64 x 3) (/.f64 -1 n)))
(+.f64 (/.f64 1 (*.f64 n x)) 0)
(+.f64 0 (/.f64 1 (*.f64 n x)))
(-.f64 (/.f64 1 (*.f64 n x)) 0)
(.f64 1 (/.f64 1 (.f64 n x)))
(.f64 (/.f64 1 (.f64 n x)) 1)
(.f64 1/2 (.f64 (/.f64 1 (*.f64 n x)) 2))
(.f64 2 (/.f64 (/.f64 1 (.f64 n x)) 2))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(.f64 (.f64 2 (/.f64 1 n)) (/.f64 1 (+.f64 x x)))
(.f64 (.f64 (/.f64 1 (*.f64 n x)) 2) 1/2)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(*.f64 -1 (/.f64 (/.f64 -1 n) x))
(*.f64 (/.f64 -1 n) (/.f64 -1 x))
(*.f64 (/.f64 -1 x) (/.f64 -1 n))
(*.f64 (/.f64 (/.f64 -1 n) x) -1)
(.f64 (/.f64 1 (+.f64 x x)) (.f64 2 (/.f64 1 n)))
(.f64 (/.f64 (/.f64 1 (.f64 n x)) 2) 2)
(pow.f64 (/.f64 1 (*.f64 n x)) 1)
(neg.f64 (/.f64 (/.f64 -1 n) x))

Outputs
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) n)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) n))
(neg.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) n))
(neg.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) n))
(neg.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) n))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) n))
(neg.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) n))
(/.f64 1/3 (*.f64 n (pow.f64 x 3)))
(/.f64 (/.f64 1/3 n) (pow.f64 x 3))
(/.f64 1/3 (*.f64 (pow.f64 x 3) n))
(-.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 n (pow.f64 x 2)))))
(-.f64 (.f64 1/3 (/.f64 (/.f64 1 n) (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (/.f64 1 n) (pow.f64 x 3))) (/.f64 1 (.f64 x n))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n)))))
(+.f64 (-.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n)))) (/.f64 1 (*.f64 x n)))
(-.f64 (+.f64 (/.f64 1 (.f64 n x)) (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (/.f64 1 n) (pow.f64 x 3))) (/.f64 1 (.f64 x n))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 1 (.f64 x n)) (-.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n)))))
(+.f64 (-.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) n))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n)))) (/.f64 1 (*.f64 x n)))
(/.f64 1 (*.f64 n x))
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(/.f64 (*.f64 n (+.f64 n n)) (+.f64 (/.f64 n (pow.f64 x 2)) (/.f64 n (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) n)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 4)) (.f64 2 (.f64 (/.f64 1 n) 4)))
(*.f64 (pow.f64 x 2) n)
(/.f64 (.f64 2 (.f64 n 4)) (+.f64 (.f64 2 (/.f64 2 (pow.f64 x 2))) (.f64 2 (/.f64 2 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) n)
(/.f64 (.f64 2 (.f64 n 4)) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 4 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) n)
(/.f64 (.f64 2 (.f64 n 4)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) n)
(/.f64 (.f64 2 (.f64 2 (neg.f64 n))) (+.f64 (.f64 2 (/.f64 -1 (pow.f64 x 2))) (.f64 2 (/.f64 -1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) n)
(/.f64 (.f64 2 (.f64 2 (neg.f64 n))) (+.f64 (/.f64 -2 (pow.f64 x 2)) (/.f64 -2 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) n)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) (neg.f64 n))) -2)
(*.f64 (pow.f64 x 2) n)
(/.f64 (.f64 2 (.f64 (.f64 2 (.f64 n (pow.f64 x 2))) 4)) 16)
(*.f64 (pow.f64 x 2) n)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 n (pow.f64 x 2))))) -4)
(*.f64 (pow.f64 x 2) n)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 n (pow.f64 x 2))))) -4)
(*.f64 (pow.f64 x 2) n)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (pow.f64 x 2)))) (.f64 2 (.f64 2 (/.f64 -1 n))))
(*.f64 (pow.f64 x 2) n)
(/.f64 -1/2 (neg.f64 (/.f64 1/2 (*.f64 n (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) n)
(/.f64 (/.f64 (*.f64 n 4) (/.f64 1 (pow.f64 x 2))) 4)
(*.f64 (pow.f64 x 2) n)
(/.f64 (/.f64 (pow.f64 x 2) (/.f64 -1 n)) -1)
(*.f64 (pow.f64 x 2) n)
(/.f64 (neg.f64 (.f64 2 (pow.f64 x 2))) (neg.f64 (.f64 2 (/.f64 1 n))))
(*.f64 (pow.f64 x 2) n)
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 2))) (neg.f64 (/.f64 2 n)))
(*.f64 (pow.f64 x 2) n)
(/.f64 (neg.f64 (+.f64 n n)) (neg.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) n)
(/.f64 (neg.f64 (+.f64 n n)) (neg.f64 (/.f64 2 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) n)
(/.f64 (neg.f64 (.f64 (pow.f64 x 2) 4)) (-.f64 0 (.f64 (/.f64 1 n) 4)))
(*.f64 (pow.f64 x 2) n)
(/.f64 (+.f64 (neg.f64 (.f64 2 (pow.f64 x 2))) (neg.f64 (.f64 2 (pow.f64 x 2)))) (+.f64 (neg.f64 (.f64 2 (/.f64 1 n))) (neg.f64 (.f64 2 (/.f64 1 n)))))
(*.f64 (pow.f64 x 2) n)
(/.f64 (+.f64 (/.f64 (.f64 n 4) (/.f64 1 (pow.f64 x 2))) (/.f64 (.f64 n 4) (/.f64 1 (pow.f64 x 2)))) 8)
(*.f64 (pow.f64 x 2) n)
(/.f64 (+.f64 (/.f64 (pow.f64 x 2) (/.f64 -1 n)) (/.f64 (pow.f64 x 2) (/.f64 -1 n))) -2)
(*.f64 (pow.f64 x 2) n)
(/.f64 (neg.f64 (neg.f64 (.f64 2 (pow.f64 x 2)))) (.f64 2 (/.f64 1 n)))
(*.f64 (pow.f64 x 2) n)
(/.f64 (neg.f64 (.f64 2 (neg.f64 (pow.f64 x 2)))) (-.f64 0 (.f64 2 (/.f64 -1 n))))
(*.f64 (pow.f64 x 2) n)
(pow.f64 (*.f64 n (pow.f64 x 2)) 1)
(*.f64 (pow.f64 x 2) n)
(neg.f64 (neg.f64 (*.f64 n (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) n)
(neg.f64 (*.f64 (pow.f64 x 2) (neg.f64 n)))
(*.f64 (pow.f64 x 2) n)
(neg.f64 (/.f64 (pow.f64 x 2) (/.f64 -1 n)))
(*.f64 (pow.f64 x 2) n)
(+.f64 (*.f64 n (pow.f64 x 3)) 0)
(*.f64 (pow.f64 x 3) n)
(+.f64 0 (*.f64 n (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) n)
(-.f64 (*.f64 n (pow.f64 x 3)) 0)
(*.f64 (pow.f64 x 3) n)
(-.f64 0 (neg.f64 (*.f64 n (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 1 (/.f64 1 (*.f64 n (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 n (/.f64 1 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) n)
(/.f64 n (neg.f64 (/.f64 -1 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 n (neg.f64 (neg.f64 (/.f64 1 (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (pow.f64 x 3) (/.f64 1 n))
(*.f64 (pow.f64 x 3) n)
(/.f64 (*.f64 n (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3) n)
(/.f64 2 (.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) 2))
(*.f64 (pow.f64 x 3) n)
(/.f64 2 (/.f64 (*.f64 2 (/.f64 1 n)) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 n (.f64 (pow.f64 x 3) 2)) 2)
(*.f64 (pow.f64 x 3) n)
(/.f64 4 (.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) 4))
(*.f64 (pow.f64 x 3) n)
(/.f64 4 (+.f64 (/.f64 (.f64 2 (/.f64 1 n)) (pow.f64 x 3)) (/.f64 (.f64 2 (/.f64 1 n)) (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 (pow.f64 x 3) 2) (.f64 2 (/.f64 1 n)))
(*.f64 (pow.f64 x 3) n)
(/.f64 (*.f64 (pow.f64 x 3) 2) (/.f64 2 n))
(*.f64 (pow.f64 x 3) n)
(/.f64 (+.f64 n n) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (+.f64 n n) (/.f64 2 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 n (.f64 (pow.f64 x 3) 4)) 4)
(*.f64 (pow.f64 x 3) n)
(/.f64 -1 (/.f64 (/.f64 -1 n) (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) n)
(/.f64 -1 (neg.f64 (/.f64 1 (*.f64 n (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (neg.f64 n) (/.f64 -1 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) n)
(/.f64 (neg.f64 n) (neg.f64 (/.f64 1 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (neg.f64 (*.f64 n (pow.f64 x 3))) -1)
(*.f64 (pow.f64 x 3) n)
(/.f64 (neg.f64 (pow.f64 x 3)) (/.f64 -1 n))
(*.f64 (pow.f64 x 3) n)
(/.f64 (*.f64 n n) (/.f64 n (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) n)
(/.f64 8 (.f64 2 (.f64 (/.f64 1 (*.f64 n (pow.f64 x 3))) 4)))
(*.f64 (pow.f64 x 3) n)
(/.f64 -2 (+.f64 (/.f64 (/.f64 -1 n) (pow.f64 x 3)) (/.f64 (/.f64 -1 n) (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 -2 (+.f64 (neg.f64 (/.f64 1 (.f64 n (pow.f64 x 3)))) (neg.f64 (/.f64 1 (.f64 n (pow.f64 x 3))))))
(*.f64 (pow.f64 x 3) n)
(/.f64 -2 (-.f64 0 (.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) 2)))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 (pow.f64 x 3) 4) (.f64 (/.f64 1 n) 4))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 (pow.f64 x 3) 4) (.f64 2 (/.f64 2 n)))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 n 4) (.f64 2 (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 n 4) (.f64 2 (/.f64 2 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (*.f64 n 4) (/.f64 4 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 n 4) (.f64 4 (/.f64 1 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (neg.f64 n)) (.f64 2 (/.f64 -1 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (neg.f64 n)) (.f64 2 (neg.f64 (/.f64 1 (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (*.f64 2 (neg.f64 n)) (/.f64 -2 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 (+.f64 n n) (.f64 (pow.f64 x 3) 4)) 8)
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (neg.f64 (.f64 n (pow.f64 x 3)))) -2)
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (neg.f64 (pow.f64 x 3))) (.f64 2 (/.f64 -1 n)))
(*.f64 (pow.f64 x 3) n)
(/.f64 (*.f64 (pow.f64 x 3) (neg.f64 n)) -1)
(*.f64 (pow.f64 x 3) n)
(/.f64 (neg.f64 (.f64 n (.f64 (pow.f64 x 3) 2))) -2)
(*.f64 (pow.f64 x 3) n)
(/.f64 -4 (-.f64 0 (.f64 (/.f64 1 (.f64 n (pow.f64 x 3))) 4)))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 4)) (.f64 2 (.f64 (/.f64 1 n) 4)))
(*.f64 (pow.f64 x 3) n)
(/.f64 (*.f64 n (+.f64 n n)) (+.f64 (/.f64 n (pow.f64 x 3)) (/.f64 n (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 (pow.f64 x 3) (.f64 2 (neg.f64 n))) -2)
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (.f64 (+.f64 n n) (*.f64 (pow.f64 x 3) 4))) 16)
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 n (pow.f64 x 3))))) -4)
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (neg.f64 (.f64 n (*.f64 (pow.f64 x 3) 2)))) -4)
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (pow.f64 x 3)))) (.f64 2 (.f64 2 (/.f64 -1 n))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (.f64 n 4)) (+.f64 (.f64 2 (/.f64 2 (pow.f64 x 3))) (.f64 2 (/.f64 2 (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (.f64 n 4)) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (.f64 n 4)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 3))) (.f64 4 (/.f64 1 (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (.f64 2 (neg.f64 n))) (+.f64 (.f64 2 (/.f64 -1 (pow.f64 x 3))) (.f64 2 (/.f64 -1 (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (.f64 2 (.f64 2 (neg.f64 n))) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (/.f64 (*.f64 n 4) (/.f64 1 (pow.f64 x 3))) 4)
(*.f64 (pow.f64 x 3) n)
(/.f64 (/.f64 (pow.f64 x 3) (/.f64 -1 n)) -1)
(*.f64 (pow.f64 x 3) n)
(/.f64 (neg.f64 (+.f64 n n)) (neg.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (neg.f64 (+.f64 n n)) (neg.f64 (/.f64 2 (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (neg.f64 (.f64 (pow.f64 x 3) 2)) (neg.f64 (.f64 2 (/.f64 1 n))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (neg.f64 (*.f64 (pow.f64 x 3) 2)) (neg.f64 (/.f64 2 n)))
(*.f64 (pow.f64 x 3) n)
(/.f64 (neg.f64 (.f64 (pow.f64 x 3) 4)) (-.f64 0 (.f64 (/.f64 1 n) 4)))
(*.f64 (pow.f64 x 3) n)
(/.f64 (+.f64 (/.f64 (.f64 n 4) (/.f64 1 (pow.f64 x 3))) (/.f64 (.f64 n 4) (/.f64 1 (pow.f64 x 3)))) 8)
(*.f64 (pow.f64 x 3) n)
(/.f64 (+.f64 (/.f64 (pow.f64 x 3) (/.f64 -1 n)) (/.f64 (pow.f64 x 3) (/.f64 -1 n))) -2)
(*.f64 (pow.f64 x 3) n)
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 x 3) 2)) (neg.f64 (.f64 (pow.f64 x 3) 2))) (+.f64 (neg.f64 (.f64 2 (/.f64 1 n))) (neg.f64 (.f64 2 (/.f64 1 n)))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (neg.f64 (.f64 2 (neg.f64 (pow.f64 x 3)))) (-.f64 0 (.f64 2 (/.f64 -1 n))))
(*.f64 (pow.f64 x 3) n)
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 x 3) 2))) (.f64 2 (/.f64 1 n)))
(*.f64 (pow.f64 x 3) n)
(pow.f64 (*.f64 n (pow.f64 x 3)) 1)
(*.f64 (pow.f64 x 3) n)
(neg.f64 (neg.f64 (*.f64 n (pow.f64 x 3))))
(*.f64 (pow.f64 x 3) n)
(neg.f64 (*.f64 (pow.f64 x 3) (neg.f64 n)))
(*.f64 (pow.f64 x 3) n)
(neg.f64 (/.f64 (pow.f64 x 3) (/.f64 -1 n)))
(*.f64 (pow.f64 x 3) n)
(+.f64 (/.f64 1 (*.f64 n x)) 0)
(/.f64 1 (*.f64 x n))
(+.f64 0 (/.f64 1 (*.f64 n x)))
(/.f64 1 (*.f64 x n))
(-.f64 (/.f64 1 (*.f64 n x)) 0)
(/.f64 1 (*.f64 x n))
(.f64 1 (/.f64 1 (.f64 n x)))
(/.f64 1 (*.f64 x n))
(.f64 (/.f64 1 (.f64 n x)) 1)
(/.f64 1 (*.f64 x n))
(.f64 1/2 (.f64 (/.f64 1 (*.f64 n x)) 2))
(/.f64 1 (*.f64 x n))
(.f64 2 (/.f64 (/.f64 1 (.f64 n x)) 2))
(/.f64 1 (*.f64 x n))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(/.f64 1 (*.f64 x n))
(.f64 (.f64 2 (/.f64 1 n)) (/.f64 1 (+.f64 x x)))
(.f64 2 (.f64 (/.f64 1 n) (/.f64 1 (+.f64 x x))))
(*.f64 2 (/.f64 (/.f64 1 n) (+.f64 x x)))
(.f64 (.f64 (/.f64 1 (*.f64 n x)) 2) 1/2)
(/.f64 1 (*.f64 x n))
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x n))
(*.f64 -1 (/.f64 (/.f64 -1 n) x))
(/.f64 1 (*.f64 x n))
(*.f64 (/.f64 -1 n) (/.f64 -1 x))
(*.f64 (/.f64 -1 x) (/.f64 -1 n))
(*.f64 (/.f64 -1 n) (/.f64 -1 x))
(*.f64 (/.f64 (/.f64 -1 n) x) -1)
(/.f64 1 (*.f64 x n))
(.f64 (/.f64 1 (+.f64 x x)) (.f64 2 (/.f64 1 n)))
(.f64 2 (.f64 (/.f64 1 n) (/.f64 1 (+.f64 x x))))
(*.f64 2 (/.f64 (/.f64 1 n) (+.f64 x x)))
(.f64 (/.f64 (/.f64 1 (.f64 n x)) 2) 2)
(/.f64 1 (*.f64 x n))
(pow.f64 (/.f64 1 (*.f64 n x)) 1)
(/.f64 1 (*.f64 x n))
(neg.f64 (/.f64 (/.f64 -1 n) x))
(/.f64 1 (*.f64 x n))

eval244.0ms (0.6%)

Compiler: Compiled 15670 to 10460 computations (33.2% saved)

prune184.0ms (0.4%)

Pruning

70 alts after pruning (66 fresh and 4 done)

	Pruned	Kept	Total
New	718	29	747
Fresh	3	37	40
Picked	1	0	1
Done	3	4	7
Total	725	70	795

Error

0.2b

Counts

795 → 70

Alt Table

Click to see full alt table

Status	Error	Program
	38.0b	(/.f64 (/.f64 (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
	38.0b	(/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))))) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))
	38.0b	(/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
	44.7b	(/.f64 (/.f64 x (.f64 x (.f64 n n))) (/.f64 x n))
	44.7b	(/.f64 (/.f64 x x) (/.f64 (.f64 x (.f64 n n)) n))
	46.5b	(/.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n))))) (/.f64 -1 x))
	44.7b	(/.f64 (/.f64 2 (/.f64 -2 n)) (/.f64 -1 (/.f64 1 (.f64 n (.f64 n x)))))
	15.5b	(/.f64 (/.f64 2 n) (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
	39.1b	(/.f64 (/.f64 1 x) n)
	39.1b	(/.f64 (/.f64 1 n) x)
	42.7b	(/.f64 (/.f64 1/3 n) (pow.f64 x 3))
	44.6b	(/.f64 (/.f64 -2 (/.f64 -2 n)) (.f64 n (.f64 n x)))
	45.4b	(/.f64 (/.f64 -2 (.f64 x (/.f64 (.f64 x (*.f64 n n)) n))) (/.f64 -2 x))
	39.9b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
	39.7b	(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
✓	15.4b	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
	30.9b	(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (*.f64 n n) n))
	37.9b	(/.f64 (-.f64 x (log.f64 x)) n)
	52.4b	(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 n (*.f64 (/.f64 x n) (neg.f64 (log.f64 x)))))
	38.0b	(/.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 n (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
	37.9b	(/.f64 (neg.f64 (log.f64 x)) n)
	39.8b	(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
	29.9b	(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓	61.1b	(/.f64 x n)
	46.7b	(/.f64 n (/.f64 (.f64 x (.f64 x (*.f64 n n))) x))
	44.6b	(/.f64 n (.f64 n (.f64 n x)))
	44.6b	(/.f64 2 (.f64 (.f64 (*.f64 n x) (neg.f64 n)) (/.f64 -2 n)))
	15.4b	(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
✓	39.7b	(/.f64 1 (*.f64 x n))
	15.5b	(/.f64 1/2 (*.f64 n (/.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
	42.7b	(/.f64 1/3 (*.f64 (pow.f64 x 3) n))
	46.5b	(/.f64 -2 (/.f64 (.f64 (.f64 x (.f64 x (.f64 n n))) (/.f64 -2 n)) x))
	40.7b	(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (+.f64 -1 (-.f64 1 (/.f64 -1 (pow.f64 x 2)))) n)))
	40.6b	(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
	42.5b	(-.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
	42.7b	(-.f64 (.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2))) (*.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
✓	44.0b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	21.2b	(+.f64 (/.f64 (log.f64 (-.f64 x -1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (-.f64 x -1)) 2))))))
	38.1b	(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
	40.3b	(+.f64 (/.f64 1 (.f64 n x)) (-.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1/2 (.f64 n (pow.f64 x 2)))))
	47.4b	(+.f64 (neg.f64 (.f64 (/.f64 n (log.f64 x)) (/.f64 1 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))) (/.f64 x n))
	51.4b	(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
	44.8b	(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
	45.3b	(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
	54.7b	(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
	39.1b	(*.f64 (/.f64 2 x) (/.f64 1/2 n))
	42.1b	(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
	37.9b	(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
	15.4b	(.f64 (/.f64 1 n) (.f64 2 (-.f64 (/.f64 (log.f64 (+.f64 x 1)) 2) (log.f64 (sqrt.f64 x)))))
	37.9b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	39.2b	(*.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))) (/.f64 (pow.f64 (log.f64 x) 2) n))
	39.2b	(*.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))) (/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (log.f64 x))))
	38.1b	(.f64 (/.f64 -2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (/.f64 (/.f64 (/.f64 n 2) n) (/.f64 n (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
	52.7b	(.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (.f64 (log.f64 x) (/.f64 (/.f64 x (neg.f64 n)) n)))
	42.5b	(.f64 (neg.f64 x) (/.f64 (/.f64 n x) (.f64 (*.f64 n x) (neg.f64 n))))
	45.8b	(.f64 (neg.f64 x) (/.f64 n (neg.f64 (/.f64 (.f64 n n) (/.f64 1 (*.f64 x x))))))
	46.8b	(.f64 (neg.f64 x) (/.f64 n (neg.f64 (-.f64 1 (-.f64 1 (.f64 x (.f64 x (.f64 n n))))))))
	46.6b	(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 (/.f64 1 n) n))))))
	46.6b	(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 1 (*.f64 n n)))))))
	42.3b	(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 n (/.f64 n (/.f64 1 (*.f64 x x)))))))
	39.8b	(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
	46.1b	(.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 n (.f64 x (.f64 x (.f64 n n))))) -1))
	43.2b	(.f64 (neg.f64 x) (.f64 (/.f64 -2 (.f64 x (.f64 (*.f64 n x) (/.f64 n n)))) 1/2))
	45.7b	(.f64 (neg.f64 x) (.f64 n (/.f64 (/.f64 -1 x) (.f64 n (.f64 n x)))))
	43.9b	(*.f64 (neg.f64 n) (/.f64 (/.f64 (/.f64 1 x) n) (neg.f64 n)))
	46.7b	(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
	46.5b	(.f64 n (.f64 (/.f64 (/.f64 2 x) (.f64 n (.f64 n x))) (/.f64 x 2)))
	59.3b	(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
	29.2b	(neg.f64 (/.f64 (/.f64 (/.f64 -1 x) (exp.f64 (neg.f64 (/.f64 (log.f64 x) n)))) n))
	39.1b	(neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 x n)) (/.f64 1 x)) n))

Compiler

Compiled 1125 to 769 computations (31.6% saved)

regimes662.0ms (1.6%)

Counts

92 → 2

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 n (.f64 n (.f64 n x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(*.f64 (neg.f64 n) (/.f64 (/.f64 (/.f64 1 x) n) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 n (/.f64 (.f64 x (.f64 x (*.f64 n n))) x))
(/.f64 (/.f64 -2 (/.f64 -2 n)) (.f64 n (.f64 n x)))
(/.f64 (/.f64 x x) (/.f64 (.f64 x (.f64 n n)) n))
(/.f64 (/.f64 x (.f64 x (.f64 n n))) (/.f64 x n))
(/.f64 2 (.f64 (.f64 (*.f64 n x) (neg.f64 n)) (/.f64 -2 n)))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
(.f64 (neg.f64 x) (/.f64 (/.f64 n x) (.f64 (*.f64 n x) (neg.f64 n))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(.f64 (neg.f64 x) (.f64 n (/.f64 (/.f64 -1 x) (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n))))) (/.f64 -1 x))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 n (.f64 (/.f64 (/.f64 2 x) (.f64 n (.f64 n x))) (/.f64 x 2)))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 n (/.f64 n (/.f64 1 (*.f64 x x)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 1 (*.f64 n n)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 (/.f64 1 n) n))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (/.f64 (.f64 n n) (/.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(/.f64 -2 (/.f64 (.f64 (.f64 x (.f64 x (.f64 n n))) (/.f64 -2 n)) x))
(/.f64 (/.f64 -2 (.f64 x (/.f64 (.f64 x (*.f64 n n)) n))) (/.f64 -2 x))
(/.f64 (/.f64 2 (/.f64 -2 n)) (/.f64 -1 (/.f64 1 (.f64 n (.f64 n x)))))
(.f64 (neg.f64 x) (.f64 (/.f64 -2 (.f64 x (.f64 (*.f64 n x) (/.f64 n n)))) 1/2))
(.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 n (.f64 x (.f64 x (.f64 n n))))) -1))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (-.f64 1 (-.f64 1 (.f64 x (.f64 x (.f64 n n))))))))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 1/3 (*.f64 (pow.f64 x 3) n))
(/.f64 (/.f64 1/3 n) (pow.f64 x 3))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 x n)) (/.f64 1 x)) n))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
(-.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (+.f64 -1 (-.f64 1 (/.f64 -1 (pow.f64 x 2)))) n)))
(-.f64 (.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2))) (*.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
(neg.f64 (/.f64 (/.f64 (/.f64 -1 x) (exp.f64 (neg.f64 (/.f64 (log.f64 x) n)))) n))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 1/2 (*.f64 n (/.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 (*.f64 n n) n))
(/.f64 (/.f64 2 n) (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(neg.f64 (/.f64 (/.f64 -1 (*.f64 x (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))) n))
(.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (.f64 (log.f64 x) (/.f64 (/.f64 x (neg.f64 n)) n)))
(/.f64 (+.f64 (/.f64 n x) (/.f64 n (neg.f64 (log.f64 x)))) (/.f64 n (*.f64 (/.f64 x n) (neg.f64 (log.f64 x)))))
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(+.f64 (/.f64 1 (.f64 n x)) (-.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1/2 (.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 n (pow.f64 x 3)))) (/.f64 1 (.f64 n x))) (.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(.f64 (/.f64 1 n) (.f64 2 (-.f64 (/.f64 (log.f64 (+.f64 x 1)) 2) (log.f64 (sqrt.f64 x)))))
(+.f64 (neg.f64 (.f64 (/.f64 n (log.f64 x)) (/.f64 1 (.f64 n (/.f64 (/.f64 n (log.f64 x)) (log.f64 x)))))) (/.f64 x n))
(.f64 (/.f64 1 n) (.f64 2 (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))) (/.f64 (pow.f64 (log.f64 x) 2) n))
(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(*.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))) (/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (log.f64 x))))
(/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))))) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))
(*.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))) (/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))))))
(/.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 n (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))
(/.f64 (/.f64 n (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) (*.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))))
(/.f64 (/.f64 (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 1 (.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
(.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (/.f64 (/.f64 1 n) (/.f64 n (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
(.f64 (/.f64 -2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (/.f64 (/.f64 (/.f64 n 2) n) (/.f64 n (.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (/.f64 (/.f64 1/2 (pow.f64 x 2)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))))
(+.f64 (/.f64 (log.f64 (-.f64 x -1)) n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (/.f64 1/2 (pow.f64 n 2)) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (-.f64 x -1)) 2))))))
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (*.f64 1/2 (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (neg.f64 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 -1 n))) (.f64 1/2 (-.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 (-.f64 x -1)) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (-.f64 x -1)) 2) (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 x) n) (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (.f64 x n)) (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (+.f64 (/.f64 (+.f64 (.f64 (/.f64 1 n) 1/3) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (/.f64 1/2 (pow.f64 x 2))))))

Outputs
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(neg.f64 (/.f64 (/.f64 (/.f64 -1 x) (exp.f64 (neg.f64 (/.f64 (log.f64 x) n)))) n))

Calls

4 calls:

338.0ms	n
207.0ms	(/.f64 1 n)
75.0ms	x
9.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
5.5b	2	`x`
10.4b	3	`n`
11.4b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
10.4b	3	`(/.f64 1 n)`

Compiler

Compiled 1513 to 855 computations (43.5% saved)

bsearch32.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	336849.47869955533	3504316.602858068

Results

14.0ms	39×	body	1024	valid
6.0ms	36×	body	256	valid
5.0ms	8×	body	2048	valid
3.0ms	13×	body	512	valid
1.0ms	7×	body	256	unsamplable
0.0ms	2×	body	256	infinite

Compiler

Compiled 188 to 141 computations (25% saved)

regimes585.0ms (1.4%)

Counts

60 → 2

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 n (.f64 n (.f64 n x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(*.f64 (neg.f64 n) (/.f64 (/.f64 (/.f64 1 x) n) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 n (/.f64 (.f64 x (.f64 x (*.f64 n n))) x))
(/.f64 (/.f64 -2 (/.f64 -2 n)) (.f64 n (.f64 n x)))
(/.f64 (/.f64 x x) (/.f64 (.f64 x (.f64 n n)) n))
(/.f64 (/.f64 x (.f64 x (.f64 n n))) (/.f64 x n))
(/.f64 2 (.f64 (.f64 (*.f64 n x) (neg.f64 n)) (/.f64 -2 n)))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
(.f64 (neg.f64 x) (/.f64 (/.f64 n x) (.f64 (*.f64 n x) (neg.f64 n))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(.f64 (neg.f64 x) (.f64 n (/.f64 (/.f64 -1 x) (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n))))) (/.f64 -1 x))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 n (.f64 (/.f64 (/.f64 2 x) (.f64 n (.f64 n x))) (/.f64 x 2)))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 n (/.f64 n (/.f64 1 (*.f64 x x)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 1 (*.f64 n n)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 (/.f64 1 n) n))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (/.f64 (.f64 n n) (/.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(/.f64 -2 (/.f64 (.f64 (.f64 x (.f64 x (.f64 n n))) (/.f64 -2 n)) x))
(/.f64 (/.f64 -2 (.f64 x (/.f64 (.f64 x (*.f64 n n)) n))) (/.f64 -2 x))
(/.f64 (/.f64 2 (/.f64 -2 n)) (/.f64 -1 (/.f64 1 (.f64 n (.f64 n x)))))
(.f64 (neg.f64 x) (.f64 (/.f64 -2 (.f64 x (.f64 (*.f64 n x) (/.f64 n n)))) 1/2))
(.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 n (.f64 x (.f64 x (.f64 n n))))) -1))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (-.f64 1 (-.f64 1 (.f64 x (.f64 x (.f64 n n))))))))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 1/3 (*.f64 (pow.f64 x 3) n))
(/.f64 (/.f64 1/3 n) (pow.f64 x 3))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 x n)) (/.f64 1 x)) n))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
(-.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (+.f64 -1 (-.f64 1 (/.f64 -1 (pow.f64 x 2)))) n)))
(-.f64 (.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2))) (*.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))

Outputs
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Calls

3 calls:

230.0ms	(/.f64 1 n)
122.0ms	n
81.0ms	x

Results

Error	Segments	Branch
6.1b	2	`x`
11.4b	3	`n`
11.4b	2	`(/.f64 1 n)`

Compiler

Compiled 718 to 349 computations (51.4% saved)

bsearch30.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	336849.47869955533	3504316.602858068

Results

15.0ms	39×	body	1024	valid
6.0ms	39×	body	256	valid
3.0ms	14×	body	512	valid
3.0ms	4×	body	2048	valid
2.0ms	9×	body	256	unsamplable

Compiler

Compiled 164 to 117 computations (28.7% saved)

regimes648.0ms (1.6%)

Counts

55 → 2

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 n (.f64 n (.f64 n x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(*.f64 (neg.f64 n) (/.f64 (/.f64 (/.f64 1 x) n) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 n (/.f64 (.f64 x (.f64 x (*.f64 n n))) x))
(/.f64 (/.f64 -2 (/.f64 -2 n)) (.f64 n (.f64 n x)))
(/.f64 (/.f64 x x) (/.f64 (.f64 x (.f64 n n)) n))
(/.f64 (/.f64 x (.f64 x (.f64 n n))) (/.f64 x n))
(/.f64 2 (.f64 (.f64 (*.f64 n x) (neg.f64 n)) (/.f64 -2 n)))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
(.f64 (neg.f64 x) (/.f64 (/.f64 n x) (.f64 (*.f64 n x) (neg.f64 n))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(.f64 (neg.f64 x) (.f64 n (/.f64 (/.f64 -1 x) (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n))))) (/.f64 -1 x))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 n (.f64 (/.f64 (/.f64 2 x) (.f64 n (.f64 n x))) (/.f64 x 2)))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 n (/.f64 n (/.f64 1 (*.f64 x x)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 1 (*.f64 n n)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 (/.f64 1 n) n))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (/.f64 (.f64 n n) (/.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(/.f64 -2 (/.f64 (.f64 (.f64 x (.f64 x (.f64 n n))) (/.f64 -2 n)) x))
(/.f64 (/.f64 -2 (.f64 x (/.f64 (.f64 x (*.f64 n n)) n))) (/.f64 -2 x))
(/.f64 (/.f64 2 (/.f64 -2 n)) (/.f64 -1 (/.f64 1 (.f64 n (.f64 n x)))))
(.f64 (neg.f64 x) (.f64 (/.f64 -2 (.f64 x (.f64 (*.f64 n x) (/.f64 n n)))) 1/2))
(.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 n (.f64 x (.f64 x (.f64 n n))))) -1))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (-.f64 1 (-.f64 1 (.f64 x (.f64 x (.f64 n n))))))))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 1/3 (*.f64 (pow.f64 x 3) n))
(/.f64 (/.f64 1/3 n) (pow.f64 x 3))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 x n)) (/.f64 1 x)) n))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
(-.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (+.f64 -1 (-.f64 1 (/.f64 -1 (pow.f64 x 2)))) n)))
(-.f64 (.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2))) (*.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Outputs
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

Calls

3 calls:

332.0ms	(/.f64 1 n)
248.0ms	n
53.0ms	x

Results

Error	Segments	Branch
6.3b	2	`x`
18.9b	9	`n`
18.9b	8	`(/.f64 1 n)`

Compiler

Compiled 664 to 321 computations (51.7% saved)

bsearch49.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
49.0ms	9.611952816105524e-6	1.2458169685429434

Results

22.0ms	62×	body	1024	valid
10.0ms	37×	body	512	valid
7.0ms	30×	body	256	infinite
6.0ms	43×	body	256	valid
1.0ms	2×	body	2048	valid
0.0ms	2×	body	256	unsamplable

Compiler

Compiled 236 to 159 computations (32.6% saved)

regimes1.3s (3%)

Counts

54 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 n (.f64 n (.f64 n x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(*.f64 (neg.f64 n) (/.f64 (/.f64 (/.f64 1 x) n) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 n (/.f64 (.f64 x (.f64 x (*.f64 n n))) x))
(/.f64 (/.f64 -2 (/.f64 -2 n)) (.f64 n (.f64 n x)))
(/.f64 (/.f64 x x) (/.f64 (.f64 x (.f64 n n)) n))
(/.f64 (/.f64 x (.f64 x (.f64 n n))) (/.f64 x n))
(/.f64 2 (.f64 (.f64 (*.f64 n x) (neg.f64 n)) (/.f64 -2 n)))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
(.f64 (neg.f64 x) (/.f64 (/.f64 n x) (.f64 (*.f64 n x) (neg.f64 n))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(.f64 (neg.f64 x) (.f64 n (/.f64 (/.f64 -1 x) (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n))))) (/.f64 -1 x))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 n (.f64 (/.f64 (/.f64 2 x) (.f64 n (.f64 n x))) (/.f64 x 2)))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 n (/.f64 n (/.f64 1 (*.f64 x x)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 1 (*.f64 n n)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 (/.f64 1 n) n))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (/.f64 (.f64 n n) (/.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(/.f64 -2 (/.f64 (.f64 (.f64 x (.f64 x (.f64 n n))) (/.f64 -2 n)) x))
(/.f64 (/.f64 -2 (.f64 x (/.f64 (.f64 x (*.f64 n n)) n))) (/.f64 -2 x))
(/.f64 (/.f64 2 (/.f64 -2 n)) (/.f64 -1 (/.f64 1 (.f64 n (.f64 n x)))))
(.f64 (neg.f64 x) (.f64 (/.f64 -2 (.f64 x (.f64 (*.f64 n x) (/.f64 n n)))) 1/2))
(.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 n (.f64 x (.f64 x (.f64 n n))))) -1))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (-.f64 1 (-.f64 1 (.f64 x (.f64 x (.f64 n n))))))))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 1/3 (*.f64 (pow.f64 x 3) n))
(/.f64 (/.f64 1/3 n) (pow.f64 x 3))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
(-.f64 (/.f64 1 (.f64 n x)) (/.f64 1/2 (.f64 n (pow.f64 x 2))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 x n)) (/.f64 1 x)) n))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
(-.f64 (.f64 (/.f64 1 (.f64 x x)) (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 (+.f64 -1 (-.f64 1 (/.f64 -1 (pow.f64 x 2)))) n)))
(-.f64 (.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2))) (*.f64 1/2 (/.f64 (/.f64 1 (pow.f64 x 2)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

Outputs
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))

Calls

3 calls:

656.0ms	n
437.0ms	(/.f64 1 n)
146.0ms	x

Results

Error	Segments	Branch
12.3b	3	`x`
20.4b	11	`n`
21.6b	8	`(/.f64 1 n)`

Compiler

Compiled 655 to 320 computations (51.1% saved)

bsearch271.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
129.0ms	1.6332428713682718e+177	2.47128418810248e+177
141.0ms	9.611952816105524e-6	1.2458169685429434

Results

129.0ms	84×	body	1024	valid
23.0ms	37×	body	2048	valid
11.0ms	59×	body	256	valid
9.0ms	49×	body	256	infinite
7.0ms	28×	body	512	valid
1.0ms	6×	body	256	unsamplable

Compiler

Compiled 358 to 262 computations (26.8% saved)

regimes1.4s (3.4%)

Counts

44 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 n (.f64 n (.f64 n x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(*.f64 (neg.f64 n) (/.f64 (/.f64 (/.f64 1 x) n) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 n (/.f64 (.f64 x (.f64 x (*.f64 n n))) x))
(/.f64 (/.f64 -2 (/.f64 -2 n)) (.f64 n (.f64 n x)))
(/.f64 (/.f64 x x) (/.f64 (.f64 x (.f64 n n)) n))
(/.f64 (/.f64 x (.f64 x (.f64 n n))) (/.f64 x n))
(/.f64 2 (.f64 (.f64 (*.f64 n x) (neg.f64 n)) (/.f64 -2 n)))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
(.f64 (neg.f64 x) (/.f64 (/.f64 n x) (.f64 (*.f64 n x) (neg.f64 n))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(.f64 (neg.f64 x) (.f64 n (/.f64 (/.f64 -1 x) (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n))))) (/.f64 -1 x))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 n (.f64 (/.f64 (/.f64 2 x) (.f64 n (.f64 n x))) (/.f64 x 2)))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 n (/.f64 n (/.f64 1 (*.f64 x x)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 1 (*.f64 n n)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 (/.f64 1 n) n))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (/.f64 (.f64 n n) (/.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(/.f64 -2 (/.f64 (.f64 (.f64 x (.f64 x (.f64 n n))) (/.f64 -2 n)) x))
(/.f64 (/.f64 -2 (.f64 x (/.f64 (.f64 x (*.f64 n n)) n))) (/.f64 -2 x))
(/.f64 (/.f64 2 (/.f64 -2 n)) (/.f64 -1 (/.f64 1 (.f64 n (.f64 n x)))))
(.f64 (neg.f64 x) (.f64 (/.f64 -2 (.f64 x (.f64 (*.f64 n x) (/.f64 n n)))) 1/2))
(.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 n (.f64 x (.f64 x (.f64 n n))))) -1))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (-.f64 1 (-.f64 1 (.f64 x (.f64 x (.f64 n n))))))))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 1/3 (*.f64 (pow.f64 x 3) n))
(/.f64 (/.f64 1/3 n) (pow.f64 x 3))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))

Outputs
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (/.f64 1 x) n)
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))

Calls

3 calls:

780.0ms	n
343.0ms	(/.f64 1 n)
278.0ms	x

Results

Error	Segments	Branch
12.6b	3	`x`
25.4b	10	`n`
26.0b	7	`(/.f64 1 n)`

Compiler

Compiled 503 to 222 computations (55.9% saved)

bsearch162.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
111.0ms	1.6332428713682718e+177	2.47128418810248e+177
51.0ms	9.611952816105524e-6	1.2458169685429434

Results

104.0ms	44×	body	2048	valid
29.0ms	78×	body	1024	valid
12.0ms	40×	body	512	valid
7.0ms	46×	body	256	valid
6.0ms	33×	body	256	infinite
1.0ms	1×	body	1024	infinite
0.0ms	2×	body	256	unsamplable

Compiler

Compiled 280 to 197 computations (29.6% saved)

regimes789.0ms (1.9%)

Counts

43 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 n (.f64 n (.f64 n x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(*.f64 (neg.f64 n) (/.f64 (/.f64 (/.f64 1 x) n) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 n (/.f64 (.f64 x (.f64 x (*.f64 n n))) x))
(/.f64 (/.f64 -2 (/.f64 -2 n)) (.f64 n (.f64 n x)))
(/.f64 (/.f64 x x) (/.f64 (.f64 x (.f64 n n)) n))
(/.f64 (/.f64 x (.f64 x (.f64 n n))) (/.f64 x n))
(/.f64 2 (.f64 (.f64 (*.f64 n x) (neg.f64 n)) (/.f64 -2 n)))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
(.f64 (neg.f64 x) (/.f64 (/.f64 n x) (.f64 (*.f64 n x) (neg.f64 n))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(.f64 (neg.f64 x) (.f64 n (/.f64 (/.f64 -1 x) (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n))))) (/.f64 -1 x))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 n (.f64 (/.f64 (/.f64 2 x) (.f64 n (.f64 n x))) (/.f64 x 2)))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 n (/.f64 n (/.f64 1 (*.f64 x x)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 1 (*.f64 n n)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 (/.f64 1 n) n))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (/.f64 (.f64 n n) (/.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(/.f64 -2 (/.f64 (.f64 (.f64 x (.f64 x (.f64 n n))) (/.f64 -2 n)) x))
(/.f64 (/.f64 -2 (.f64 x (/.f64 (.f64 x (*.f64 n n)) n))) (/.f64 -2 x))
(/.f64 (/.f64 2 (/.f64 -2 n)) (/.f64 -1 (/.f64 1 (.f64 n (.f64 n x)))))
(.f64 (neg.f64 x) (.f64 (/.f64 -2 (.f64 x (.f64 (*.f64 n x) (/.f64 n n)))) 1/2))
(.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 n (.f64 x (.f64 x (.f64 n n))))) -1))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (-.f64 1 (-.f64 1 (.f64 x (.f64 x (.f64 n n))))))))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 1/3 (*.f64 (pow.f64 x 3) n))
(/.f64 (/.f64 1/3 n) (pow.f64 x 3))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))

Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))

Calls

3 calls:

315.0ms	(/.f64 1 n)
284.0ms	n
180.0ms	x

Results

Error	Segments	Branch
12.6b	3	`x`
25.4b	10	`n`
26.0b	7	`(/.f64 1 n)`

Compiler

Compiled 494 to 219 computations (55.7% saved)

bsearch198.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
143.0ms	1.6332428713682718e+177	2.47128418810248e+177
54.0ms	9.611952816105524e-6	1.2458169685429434

Results

81.0ms	38×	body	2048	valid
63.0ms	51×	body	256	valid
34.0ms	86×	body	1024	valid
8.0ms	33×	body	512	valid
5.0ms	29×	body	256	infinite
2.0ms	12×	body	256	unsamplable

Compiler

Compiled 253 to 179 computations (29.2% saved)

regimes631.0ms (1.5%)

Counts

38 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 n (.f64 n (.f64 n x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(*.f64 (neg.f64 n) (/.f64 (/.f64 (/.f64 1 x) n) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 n (/.f64 (.f64 x (.f64 x (*.f64 n n))) x))
(/.f64 (/.f64 -2 (/.f64 -2 n)) (.f64 n (.f64 n x)))
(/.f64 (/.f64 x x) (/.f64 (.f64 x (.f64 n n)) n))
(/.f64 (/.f64 x (.f64 x (.f64 n n))) (/.f64 x n))
(/.f64 2 (.f64 (.f64 (*.f64 n x) (neg.f64 n)) (/.f64 -2 n)))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
(.f64 (neg.f64 x) (/.f64 (/.f64 n x) (.f64 (*.f64 n x) (neg.f64 n))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(.f64 (neg.f64 x) (.f64 n (/.f64 (/.f64 -1 x) (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n))))) (/.f64 -1 x))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 n (.f64 (/.f64 (/.f64 2 x) (.f64 n (.f64 n x))) (/.f64 x 2)))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 n (/.f64 n (/.f64 1 (*.f64 x x)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 1 (*.f64 n n)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 (/.f64 1 n) n))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (/.f64 (.f64 n n) (/.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(/.f64 -2 (/.f64 (.f64 (.f64 x (.f64 x (.f64 n n))) (/.f64 -2 n)) x))
(/.f64 (/.f64 -2 (.f64 x (/.f64 (.f64 x (*.f64 n n)) n))) (/.f64 -2 x))
(/.f64 (/.f64 2 (/.f64 -2 n)) (/.f64 -1 (/.f64 1 (.f64 n (.f64 n x)))))
(.f64 (neg.f64 x) (.f64 (/.f64 -2 (.f64 x (.f64 (*.f64 n x) (/.f64 n n)))) 1/2))
(.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 n (.f64 x (.f64 x (.f64 n n))))) -1))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (-.f64 1 (-.f64 1 (.f64 x (.f64 x (.f64 n n))))))))
(/.f64 (neg.f64 (log.f64 x)) n)

Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))

Calls

3 calls:

357.0ms	(/.f64 1 n)
195.0ms	n
71.0ms	x

Results

Error	Segments	Branch
12.9b	3	`x`
26.3b	10	`n`
27.4b	7	`(/.f64 1 n)`

Compiler

Compiled 459 to 201 computations (56.2% saved)

bsearch68.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1.6332428713682718e+177	2.47128418810248e+177
33.0ms	1.2458169685429434	6.875649342560095

Results

27.0ms	42×	body	2048	valid
23.0ms	56×	body	1024	valid
7.0ms	28×	body	512	valid
6.0ms	34×	body	256	valid
2.0ms	12×	body	256	unsamplable
1.0ms	1×	body	1024	infinite
0.0ms	1×	body	256	infinite

Compiler

Compiled 196 to 143 computations (27% saved)

regimes248.0ms (0.6%)

Counts

37 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 n (.f64 n (.f64 n x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(*.f64 (neg.f64 n) (/.f64 (/.f64 (/.f64 1 x) n) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 n (/.f64 (.f64 x (.f64 x (*.f64 n n))) x))
(/.f64 (/.f64 -2 (/.f64 -2 n)) (.f64 n (.f64 n x)))
(/.f64 (/.f64 x x) (/.f64 (.f64 x (.f64 n n)) n))
(/.f64 (/.f64 x (.f64 x (.f64 n n))) (/.f64 x n))
(/.f64 2 (.f64 (.f64 (*.f64 n x) (neg.f64 n)) (/.f64 -2 n)))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (.f64 x (.f64 n n))))))
(.f64 (neg.f64 x) (/.f64 (/.f64 n x) (.f64 (*.f64 n x) (neg.f64 n))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(.f64 (neg.f64 x) (.f64 n (/.f64 (/.f64 -1 x) (.f64 n (.f64 n x)))))
(/.f64 (/.f64 n (.f64 x (.f64 x (neg.f64 (*.f64 n n))))) (/.f64 -1 x))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 n (.f64 x (.f64 1/2 (/.f64 (/.f64 (/.f64 2 n) x) (.f64 n x)))))
(.f64 n (.f64 (/.f64 (/.f64 2 x) (.f64 n (.f64 n x))) (/.f64 x 2)))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 n (/.f64 n (/.f64 1 (*.f64 x x)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 1 (*.f64 n n)))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (.f64 x (/.f64 x (/.f64 (/.f64 1 n) n))))))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (/.f64 (.f64 n n) (/.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(/.f64 -2 (/.f64 (.f64 (.f64 x (.f64 x (.f64 n n))) (/.f64 -2 n)) x))
(/.f64 (/.f64 -2 (.f64 x (/.f64 (.f64 x (*.f64 n n)) n))) (/.f64 -2 x))
(/.f64 (/.f64 2 (/.f64 -2 n)) (/.f64 -1 (/.f64 1 (.f64 n (.f64 n x)))))
(.f64 (neg.f64 x) (.f64 (/.f64 -2 (.f64 x (.f64 (*.f64 n x) (/.f64 n n)))) 1/2))
(.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 n (.f64 x (.f64 x (.f64 n n))))) -1))
(.f64 (neg.f64 x) (/.f64 n (neg.f64 (-.f64 1 (-.f64 1 (.f64 x (.f64 x (.f64 n n))))))))

Outputs
(/.f64 (/.f64 1 x) n)
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(/.f64 (/.f64 1 n) x)

Calls

3 calls:

109.0ms	x
98.0ms	n
31.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
36.2b	2	`x`
33.3b	3	`n`
33.3b	2	`(/.f64 1 n)`

Compiler

Compiled 454 to 198 computations (56.4% saved)

bsearch584.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
477.0ms	-3.0611828833923597e-305	2.4598608151347383e-278
107.0ms	-1868.6742419249667	-9.731430327544534e-26

Results

202.0ms	61×	body	512	infinite
161.0ms	87×	body	1024	infinite
82.0ms	186×	body	256	unsamplable
72.0ms	123×	body	256	valid
29.0ms	22×	body	2048	valid
17.0ms	35×	body	1024	valid
14.0ms	68×	body	256	infinite
3.0ms	12×	body	512	valid

Compiler

Compiled 260 to 183 computations (29.6% saved)

regimes552.0ms (1.3%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

470.0ms	x
70.0ms	n
10.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
37.7b	2	`x`
35.0b	3	`n`
35.0b	2	`(/.f64 1 n)`

Compiler

Compiled 63 to 39 computations (38.1% saved)

bsearch224.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
117.0ms	-2.6308964231533196e-258	-5.284793025966103e-274
106.0ms	-7.123588880432589e+25	-1.5465615121839285e+21

Results

93.0ms	93×	body	256	infinite
73.0ms	29×	body	1024	valid
33.0ms	187×	body	256	valid
15.0ms	19×	body	2048	valid
6.0ms	21×	body	512	valid

Compiler

Compiled 340 to 271 computations (20.3% saved)

regimes116.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 n (.f64 n (.f64 n x)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))

Outputs
(/.f64 (/.f64 1 x) n)
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(/.f64 (/.f64 1 n) x)

Calls

3 calls:

99.0ms	n
10.0ms	(/.f64 1 n)
5.0ms	x

Results

Error	Segments	Branch
39.1b	1	`x`
37.7b	3	`n`
37.9b	2	`(/.f64 1 n)`

Compiler

Compiled 54 to 32 computations (40.7% saved)

bsearch345.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
223.0ms	-1.4756024375960321e-108	-1.004217924290796e-122
122.0ms	-1868.6742419249667	-9.731430327544534e-26

Results

213.0ms	272×	body	256	valid
81.0ms	40×	body	1024	valid
36.0ms	157×	body	256	infinite
6.0ms	8×	body	2048	valid
5.0ms	16×	body	512	valid

Compiler

Compiled 440 to 309 computations (29.8% saved)

regimes18.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 n (.f64 n (.f64 n x)))

Outputs
(/.f64 (/.f64 1 x) n)

Calls

3 calls:

7.0ms	x
5.0ms	(/.f64 1 n)
5.0ms	n

Results

Error	Segments	Branch
39.1b	1	`x`
39.1b	1	`n`
39.1b	1	`(/.f64 1 n)`

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes15.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)

Outputs
(/.f64 (/.f64 1 n) x)

Calls

3 calls:

7.0ms	x
4.0ms	(/.f64 1 n)
3.0ms	n

Results

Error	Segments	Branch
39.1b	1	`x`
39.1b	1	`n`
39.1b	1	`(/.f64 1 n)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes7.0ms (0%)

Accuracy

Total -21.8b remaining (-55%)

Threshold costs -21.8b (-55%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))

Outputs
(/.f64 1 (*.f64 x n))

Calls

2 calls:

3.0ms	x
3.0ms	n

Results

Error	Segments	Branch
39.7b	1	`x`
39.7b	1	`n`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify62.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	794

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 600000) (/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n) (neg.f64 (/.f64 (/.f64 (/.f64 -1 x) (exp.f64 (neg.f64 (/.f64 (log.f64 x) n)))) n)))
(if (<=.f64 x 1950000) (/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 1) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (if (<=.f64 x 1920000000000000104280318454846621847779400435799292612324456045358601178753318479943093776067658958525067679075163663863171045629412666975699214052829172347395658300235320393728) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n) (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))))
(if (<=.f64 x 1) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (if (<=.f64 x 2400000000000000017877553204978367739460787852599569293663142099150335645922758784632927703297376940180317446246683151080941041198743455639417366178678973209031693353665054113792) (/.f64 (/.f64 1 x) n) (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))))
(if (<=.f64 x 1) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 2400000000000000017877553204978367739460787852599569293663142099150335645922758784632927703297376940180317446246683151080941041198743455639417366178678973209031693353665054113792) (/.f64 (/.f64 1 x) n) (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))))
(if (<=.f64 x 5/4) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 2100000000000000128115703917935981342291652063174169603697677294304459517701303251849751257172401580633794918063119185943846176886922901764696846793701593783115611206086018727936) (/.f64 (/.f64 1 x) n) (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))))
(if (<=.f64 n -63/2) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x)))) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -1600000000000000000000) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -5847188406839999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n))) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -25) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -7591685107522755/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (.f64 (/.f64 1 (.f64 x x)) (/.f64 x n)) (/.f64 (/.f64 1 n) x)))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 x n)

Outputs
(if (<=.f64 x 600000) (/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n) (neg.f64 (/.f64 (/.f64 (/.f64 -1 x) (exp.f64 (neg.f64 (/.f64 (log.f64 x) n)))) n)))
(if (<=.f64 x 1950000) (/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 1) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (if (<=.f64 x 1920000000000000104280318454846621847779400435799292612324456045358601178753318479943093776067658958525067679075163663863171045629412666975699214052829172347395658300235320393728) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n) (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))))
(if (<=.f64 x 1) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (if (<=.f64 x 2400000000000000017877553204978367739460787852599569293663142099150335645922758784632927703297376940180317446246683151080941041198743455639417366178678973209031693353665054113792) (/.f64 (/.f64 1 x) n) (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))))
(if (<=.f64 x 1) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 2400000000000000017877553204978367739460787852599569293663142099150335645922758784632927703297376940180317446246683151080941041198743455639417366178678973209031693353665054113792) (/.f64 (/.f64 1 x) n) (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))))
(if (<=.f64 x 5/4) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 2100000000000000128115703917935981342291652063174169603697677294304459517701303251849751257172401580633794918063119185943846176886922901764696846793701593783115611206086018727936) (/.f64 (/.f64 1 x) n) (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))))
(if (<=.f64 n -63/2) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x)))) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -1600000000000000000000) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -5847188406839999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n))) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -25) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -7591685107522755/744282853678701455922507579277316643178128753343813693728245963960974631028119473486019635930893891134220822124816566203939432067701407744) (.f64 (/.f64 1 (.f64 x x)) (/.f64 x n)) (/.f64 (/.f64 1 n) x)))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 x n)

Compiler

Compiled 320 to 209 computations (34.7% saved)

soundness462.0ms (1.1%)

Algorithm

3×	egg-herbie

Rules

1794×	`rational.json-simplify-35`
1794×	`rational.json-simplify-35`
1152×	`rational.json-simplify-44`
1144×	`rational.json-simplify-51`
1140×	`rational.json-simplify-2`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	225	4758
1	501	4598
2	956	4568
3	2013	4274
4	3890	4274
5	4909	4258
6	5984	4254
7	7291	4254
8	7978	4254
0	225	4758
1	501	4598
2	956	4568
3	2013	4274
4	3890	4274
5	4909	4258
6	5984	4254
7	7291	4254
8	7978	4254
0	279	6693
1	643	6487
2	1605	6215
3	5212	6205
4	7302	6205

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 181 to 112 computations (38.1% saved)

end232.0ms (0.6%)

Compiler: Compiled 294 to 139 computations (52.7% saved)