Details

analyze458.0ms (1.2%)

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)

sample14.1s (35.5%)

Results

3.6s	1581×	body	1024	invalid
2.9s	2782×	body	1024	valid
2.1s	1799×	body	2048	valid
2.0s	2417×	body	256	valid
938.0ms	191×	body	1024	infinite
871.0ms	763×	body	512	invalid
863.0ms	1258×	body	512	valid
270.0ms	1287×	body	256	invalid
263.0ms	342×	body	256	unsamplable
208.0ms	232×	body	512	infinite
168.0ms	748×	body	256	infinite
2.0ms	2×	body	2048	invalid

Bogosity

preprocess4.1s (10.2%)

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)

simplify687.0ms (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

32.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.0b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.3b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	n	@	-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	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)))

rewrite187.0ms (0.5%)

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))))))))

simplify795.0ms (2%)

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)))

eval151.0ms (0.4%)

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

prune93.0ms (0.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	123	13	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	13	137

Error

0.3b

Counts

137 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.8b	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
	25.1b	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
▶	24.7b	(-.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)))))
	50.7b	(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
▶	44.9b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	25.2b	(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (+.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (/.f64 -1/6 (pow.f64 n 3)))) (.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))))))
	24.7b	(+.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)))))
	35.0b	(+.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)))))
▶	32.8b	(+.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)))))
	33.4b	(+.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))))))
▶	35.0b	(+.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 1 (pow.f64 n 2)) (/.f64 1 n)) (/.f64 1/2 (pow.f64 x 2))) (+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.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))))))
	27.0b	(+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4)))) (-.f64 (neg.f64 (+.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 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n) (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (/.f64 -1/6 (pow.f64 n 3))))))
	24.7b	(+.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)))))

Compiler

Compiled 1212 to 950 computations (21.6% 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)
✓	1.5b	(log.f64 (-.f64 x -1))
✓	3.1b	(-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))

Compiler

Compiled 30 to 18 computations (40% saved)

series47.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	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)

rewrite93.0ms (0.2%)

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

simplify187.0ms (0.5%)

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)))))
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(/.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)
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(+.f64 -1 (+.f64 (log.f64 (+.f64 x 1)) (-.f64 1 (log.f64 x))))
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(+.f64 0 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
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(*.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))) -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)
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(*.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))))
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(-.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))
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(.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)))))
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(*.f64 (/.f64 2 (-.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))))) 2))
(*.f64 (/.f64 -2 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1)))) (/.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))) (/.f64 n (-.f64 (log.f64 x) (log.f64 (-.f64 x -1))))) 2))
(*.f64 (/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 4) 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 1 (.f64 n 8)) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 8))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(.f64 (/.f64 1 (.f64 n -2)) (*.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(.f64 (/.f64 -1 (+.f64 n n)) (.f64 2 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))))
(/.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)
(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)))))))
(.f64 n (/.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (.f64 n (/.f64 n (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))))
(.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)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (log.f64 x) n)
✓	4.3b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series42.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
10.0ms	x	@	-inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
9.0ms	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	@	-inf	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))

rewrite84.0ms (0.2%)

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)))))))

simplify140.0ms (0.4%)

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

localize72.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(/.f64 1/2 (pow.f64 x 2))
✓	2.5b	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
✓	3.7b	(/.f64 (/.f64 1/2 (pow.f64 x 2)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
✓	12.1b	(*.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))))

Compiler

Compiled 159 to 110 computations (30.8% saved)

series32.0ms (0.1%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(*.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))))
5.0ms	x	@	-inf	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
4.0ms	x	@	inf	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
3.0ms	n	@	0	(/.f64 (/.f64 1/2 (pow.f64 x 2)) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n)))
2.0ms	x	@	0	(*.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))))

rewrite81.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`rational.json-1`
1694×	`rational.json-2`
1694×	`rational.json-3`
1684×	`exponential.json-3`
1684×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	158
1	192	158
2	510	158
3	1624	158
4	5101	158

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

Outputs
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simplify150.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1166×	`rational.json-simplify-46`
1094×	`rational.json-simplify-1`
1006×	`rational.json-simplify-53`
962×	`rational.json-simplify-49`
896×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	381	10910
1	1045	10318
2	2679	10286
3	5967	10228

Stop Event

1×	node limit

Counts

178 → 215

Calls

Call 1

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

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

localize752.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
✓	0.5b	(pow.f64 (log.f64 x) 2)
	1.5b	(log.f64 (-.f64 x -1))
✓	9.6b	(-.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)

series8.0ms (0%)

Counts

3 → 40

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	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	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)))))
1.0ms	n	@	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 (+.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)))))

rewrite132.0ms (0.3%)

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	141
1	160	141
2	362	141
3	911	141
4	2698	127
5	6550	127

Stop Event

1×	node limit

Counts

3 → 82

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)))))

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

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

Outputs

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

simplify330.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1784×	`rational.json-simplify-35`
1322×	`rational.json-simplify-51`
1124×	`rational.json-simplify-1`
1030×	`rational.json-simplify-61`
918×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	278	7970
1	598	7448
2	1335	7150
3	4298	7124

Stop Event

1×	node limit

Counts

122 → 156

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

localize1.3s (3.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	9.5b	(/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (*.f64 1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))))) (pow.f64 x 4))
✓	10.7b	(/.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))
✓	11.2b	(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (/.f64 1/2 (pow.f64 x 2)))
✓	12.8b	(+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.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)))

Compiler

Compiled 612 to 491 computations (19.8% saved)

series15.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.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)))
1.0ms	x	@	inf	(+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.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)))
1.0ms	x	@	0	(/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (*.f64 1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))))) (pow.f64 x 4))
1.0ms	n	@	0	(+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.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)))
1.0ms	x	@	0	(/.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))

rewrite296.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`exponential.json-3`
1456×	`rational.json-1`
1456×	`rational.json-2`
1456×	`rational.json-4`
1456×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	376
1	291	376
2	615	376
3	1488	364
4	4031	364

Stop Event

1×	node limit

Counts

4 → 100

Calls

Call 1

Inputs
(+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.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)))
(*.f64 (-.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 1 n)) (/.f64 1/2 (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))))) (pow.f64 x 3))
(/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (*.f64 1/4 (+.f64 (/.f64 1 n) (/.f64 1 (pow.f64 n 3))))) (pow.f64 x 4))

Outputs
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simplify430.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1562×	`rational.json-simplify-35`
1314×	`rational.json-simplify-51`
954×	`rational.json-simplify-44`
770×	`rational.json-simplify-47`
736×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	347	17032
1	906	16926
2	2132	16914
3	6112	16910

Stop Event

1×	node limit

Counts

196 → 219

Calls

Call 1

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

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

eval1.8s (4.7%)

Compiler: Compiled 51591 to 38169 computations (26% saved)

prune877.0ms (2.2%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1085	24	1109
Fresh	7	1	8
Picked	1	0	1
Done	2	2	4
Total	1095	27	1122

Error

0.1b

Counts

1122 → 27

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.4b	(/.f64 (/.f64 (/.f64 2 n) (/.f64 (/.f64 n (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))) (/.f64 (*.f64 2 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) n))
	42.9b	(/.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)))
	38.4b	(/.f64 (/.f64 1 x) n)
	39.1b	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
	38.9b	(/.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)
	37.5b	(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 x)) n)
✓	17.8b	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
	42.5b	(/.f64 (-.f64 x (log.f64 x)) n)
	39.0b	(/.f64 (+.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)))))) n)
	42.3b	(/.f64 (neg.f64 (log.f64 x)) n)
	25.1b	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
▶	38.5b	(/.f64 1 (*.f64 x n))
▶	39.2b	(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
✓	44.9b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	24.7b	(+.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))))))
	42.5b	(+.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))))))
	42.4b	(+.f64 (/.f64 (log.f64 x) (neg.f64 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)))))
▶	42.6b	(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
	36.5b	(+.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 1/2 (pow.f64 x 2))))
	32.8b	(+.f64 (.f64 (/.f64 (/.f64 2 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 1/2 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)))))
	32.8b	(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) x) (/.f64 1 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)))))
	42.4b	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
	50.4b	(.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)))))))
	17.9b	(*.f64 (/.f64 1 n) (/.f64 -1 (/.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))
▶	17.9b	(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
	42.9b	(.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)))))))
	50.8b	(.f64 n (/.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (.f64 n (/.f64 n (*.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))))

Compiler

Compiled 1170 to 861 computations (26.4% saved)

localize17.0ms (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)))
✓	1.5b	(log.f64 (+.f64 x 1))
✓	3.1b	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))

Compiler

Compiled 35 to 22 computations (37.1% saved)

series1.0ms (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	@	-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	@	0	(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
0.0ms	x	@	inf	(-.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))))))

simplify155.0ms (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
✓	0.3b	(/.f64 1 (*.f64 x n))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (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))))))

simplify68.0ms (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 (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (*.f64 x n))
✓	0.7b	(/.f64 1 (*.f64 (pow.f64 x 2) n))
✓	2.5b	(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
✓	9.1b	(*.f64 (pow.f64 x 2) n)

Compiler

Compiled 54 to 35 computations (35.2% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite97.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`rational.json-1`
1544×	`rational.json-2`
1544×	`rational.json-4`
1544×	`rational.json-3`
1542×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	107	75
2	257	75
3	680	69
4	2218	69
5	5448	69

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

Outputs

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

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simplify168.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1496×	`rational.json-simplify-35`
1318×	`rational.json-simplify-46`
992×	`rational.json-simplify-43`
800×	`rational.json-simplify-41`
642×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	266	4047
1	726	4031
2	1936	4031
3	5119	4031
4	7387	4031

Stop Event

1×	node limit

Counts

199 → 150

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (log.f64 x) (neg.f64 n))
✓	0.3b	(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
	0.4b	(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
	0.5b	(pow.f64 (log.f64 x) 2)

Compiler

Compiled 56 to 31 computations (44.6% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite75.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`rational.json-1`
1304×	`rational.json-2`
1304×	`rational.json-3`
1280×	`rational.json-4`
1258×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	104	64
2	248	64
3	640	64
4	1904	64
5	4654	64

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify160.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1548×	`rational.json-simplify-35`
1374×	`rational.json-simplify-51`
1012×	`rational.json-simplify-2`
816×	`rational.json-simplify-46`
684×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	149	3297
1	310	3257
2	610	3257
3	1330	3257
4	3177	3257
5	6408	3257
6	7797	3257

Stop Event

1×	node limit

Counts

109 → 84

Calls

Call 1

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

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

localize124.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 n (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))
	1.5b	(log.f64 (-.f64 x -1))
	3.1b	(-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))
✓	9.7b	(/.f64 (/.f64 (/.f64 2 n) (/.f64 (/.f64 n (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))) (/.f64 (*.f64 2 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) n))

Compiler

Compiled 125 to 78 computations (37.6% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`exponential.json-3`
1718×	`rational.json-1`
1718×	`rational.json-2`
1718×	`rational.json-4`
1718×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	156
1	151	156
2	596	144
3	3933	144

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs

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

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

Outputs

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

simplify170.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1590×	`rational.json-simplify-51`
1368×	`rational.json-simplify-35`
958×	`rational.json-simplify-43`
940×	`rational.json-simplify-41`
830×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	245	6070
1	585	5354
2	1811	4980
3	5641	4914

Stop Event

1×	node limit

Counts

112 → 153

Calls

Call 1

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

eval1.1s (2.7%)

Compiler: Compiled 32057 to 21392 computations (33.3% saved)

prune925.0ms (2.3%)

Pruning

50 alts after pruning (46 fresh and 4 done)

	Pruned	Kept	Total
New	1170	32	1202
Fresh	6	14	20
Picked	1	0	1
Done	2	4	6
Total	1179	50	1229

Error

0.1b

Counts

1229 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	42.9b	(/.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)))))
	51.0b	(/.f64 (/.f64 (/.f64 2 n) (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 (*.f64 2 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) n))
	60.8b	(/.f64 (/.f64 (/.f64 2 n) (.f64 n (+.f64 (+.f64 x (pow.f64 x 2)) 1/12))) (/.f64 (.f64 2 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) n))
	42.9b	(/.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)))
	17.9b	(/.f64 (/.f64 2 n) (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
	38.4b	(/.f64 (/.f64 1 x) n)
▶	38.4b	(/.f64 (/.f64 1 n) x)
	45.5b	(/.f64 (/.f64 -1/2 n) (pow.f64 x 2))
	39.1b	(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
	38.9b	(/.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)
	37.5b	(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 x)) n)
✓	17.8b	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
	42.5b	(/.f64 (-.f64 x (log.f64 x)) n)
	39.0b	(/.f64 (+.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)))))) n)
	42.3b	(/.f64 (neg.f64 (log.f64 x)) n)
	39.6b	(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
	25.1b	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
▶	17.8b	(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
✓	38.5b	(/.f64 1 (*.f64 x n))
	45.5b	(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
	39.1b	(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))
	39.9b	(-.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))))
	39.2b	(-.f64 (/.f64 1 (*.f64 n x)) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))
✓	44.9b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	42.5b	(+.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))))))
	42.4b	(+.f64 (/.f64 (log.f64 x) (neg.f64 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)))))
✓	42.6b	(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
	32.8b	(+.f64 (.f64 (/.f64 (/.f64 2 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 1/2 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)))))
	32.8b	(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) x) (/.f64 1 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)))))
	42.4b	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
	44.8b	(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
	45.1b	(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
	54.1b	(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
	58.2b	(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
	42.9b	(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) n))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
	45.1b	(.f64 (/.f64 2 (/.f64 2 n)) (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))))
	38.4b	(*.f64 (/.f64 2 x) (/.f64 1/2 n))
	39.3b	(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
▶	42.4b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
▶	32.0b	(.f64 (+.f64 n n) (/.f64 1/2 (/.f64 (.f64 n n) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))))
	43.0b	(.f64 (.f64 x (/.f64 (/.f64 2 n) (.f64 n (.f64 x x)))) (*.f64 n 1/2))
	58.4b	(.f64 (.f64 x (+.f64 n n)) (/.f64 1/2 (.f64 x (.f64 x (*.f64 n n)))))
▶	46.9b	(.f64 (neg.f64 x) (/.f64 n (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
	39.6b	(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
	44.4b	(.f64 (neg.f64 n) (/.f64 (/.f64 1 (.f64 n x)) (neg.f64 n)))
	47.3b	(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
	39.6b	(.f64 x (/.f64 2 (.f64 n (*.f64 x (+.f64 x x)))))
	46.6b	(.f64 x (.f64 1/2 (.f64 n (/.f64 (/.f64 2 n) (.f64 x (*.f64 n x))))))
	43.2b	(.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2)))
	58.4b	(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))

Compiler

Compiled 1659 to 1167 computations (29.7% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
✓	0.1b	(/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
	1.5b	(log.f64 (+.f64 x 1))
	3.1b	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))

Compiler

Compiled 41 to 25 computations (39% saved)

series466.0ms (1.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
462.0ms	n	@	0	(/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
2.0ms	x	@	0	(/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
0.0ms	n	@	-inf	(/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
0.0ms	n	@	inf	(/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
0.0ms	x	@	inf	(/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))

rewrite79.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`rational.json-1`
1466×	`rational.json-2`
1466×	`rational.json-3`
1460×	`rational.json-4`
1450×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	94	54
2	241	54
3	567	54
4	1582	54
5	4454	54

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

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

simplify93.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1404×	`rational.json-simplify-2`
1220×	`rational.json-simplify-53`
932×	`rational.json-simplify-41`
690×	`rational.json-simplify-51`
642×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	234	4539
1	507	4357
2	1142	4259
3	4256	4003

Stop Event

1×	node limit

Counts

121 → 160

Calls

Call 1

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

Outputs
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(+.f64 (.f64 -1 (/.f64 n (log.f64 x))) (.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2))))
(.f64 -1 (+.f64 (.f64 n (/.f64 x (pow.f64 (log.f64 x) 2))) (/.f64 n (log.f64 x))))
(.f64 -1 (+.f64 (/.f64 n (log.f64 x)) (.f64 n (/.f64 x (pow.f64 (log.f64 x) 2)))))
(neg.f64 (+.f64 (/.f64 n (log.f64 x)) (*.f64 n (/.f64 x (pow.f64 (log.f64 x) 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 n (log.f64 x))) (.f64 -1 (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2)))))
(+.f64 (+.f64 (.f64 -1 (/.f64 n (log.f64 x))) (.f64 -1 (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2)))) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))))
(+.f64 (neg.f64 (/.f64 n (log.f64 x))) (.f64 -1 (+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2)) (.f64 n (/.f64 x (pow.f64 (log.f64 x) 2))))))
(.f64 -1 (+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2)) (+.f64 (/.f64 n (log.f64 x)) (.f64 n (/.f64 x (pow.f64 (log.f64 x) 2))))))
(.f64 -1 (+.f64 (.f64 n (/.f64 x (pow.f64 (log.f64 x) 2))) (+.f64 (/.f64 n (log.f64 x)) (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2))) (+.f64 (.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 n (log.f64 x))) (.f64 -1 (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (+.f64 (.f64 -1 (/.f64 n (log.f64 x))) (.f64 -1 (/.f64 (.f64 n x) (pow.f64 (log.f64 x) 2)))) (.f64 -1 (.f64 (+.f64 (.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) 1/3) (+.f64 (.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 x 3)))))
(+.f64 (neg.f64 (/.f64 n (log.f64 x))) (+.f64 (.f64 -1 (+.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2)) (.f64 n (/.f64 x (pow.f64 (log.f64 x) 2))))) (.f64 (+.f64 (neg.f64 (/.f64 n (pow.f64 (log.f64 x) 3))) (+.f64 (.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 n (pow.f64 (log.f64 x) 4)))) (neg.f64 (pow.f64 x 3)))))
(+.f64 (neg.f64 (/.f64 n (log.f64 x))) (.f64 -1 (+.f64 (.f64 (+.f64 (.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) 1/3) (+.f64 (neg.f64 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 x 3)) (+.f64 (.f64 n (/.f64 x (pow.f64 (log.f64 x) 2))) (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))))))
(.f64 -1 (+.f64 (.f64 (+.f64 (neg.f64 (/.f64 n (pow.f64 (log.f64 x) 3))) (+.f64 (.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 x 3)) (+.f64 (.f64 n (/.f64 x (pow.f64 (log.f64 x) 2))) (+.f64 (/.f64 n (log.f64 x)) (.f64 (+.f64 (.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))))))
(*.f64 n x)
(+.f64 (.f64 n x) (.f64 1/2 n))
(*.f64 n (+.f64 1/2 x))
(*.f64 n (+.f64 x 1/2))
(+.f64 (.f64 n x) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 n) (.f64 1/3 n)) x)) (*.f64 1/2 n)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 n -1/4) (.f64 n 1/3)) x)) (.f64 n (+.f64 1/2 x)))
(+.f64 (.f64 n (+.f64 x 1/2)) (neg.f64 (/.f64 (.f64 n 1/12) x)))
(+.f64 (.f64 n (+.f64 x 1/2)) (neg.f64 (.f64 1/12 (/.f64 n x))))
(+.f64 (.f64 n (+.f64 x 1/2)) (neg.f64 (.f64 (/.f64 n x) 1/12)))
(+.f64 (.f64 n x) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 n) (.f64 1/3 n)) x)) (+.f64 (.f64 1/2 n) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1/4 n) (.f64 1/3 n))) (+.f64 (.f64 1/6 n) (*.f64 -1/4 n))) (pow.f64 x 2))))))
(+.f64 (.f64 n x) (+.f64 (.f64 n 1/2) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 n -1/4) (.f64 n 1/3))) (+.f64 (.f64 n -1/4) (.f64 n 1/6))) (pow.f64 x 2))) (.f64 -1 (/.f64 (+.f64 (.f64 n -1/4) (*.f64 n 1/3)) x)))))
(+.f64 (.f64 n x) (+.f64 (.f64 n 1/2) (.f64 -1 (+.f64 (/.f64 (.f64 n 1/12) x) (/.f64 (+.f64 (.f64 1/2 (.f64 n 1/12)) (*.f64 n -1/12)) (pow.f64 x 2))))))
(+.f64 (.f64 -1 (+.f64 (.f64 1/12 (/.f64 n x)) (/.f64 (+.f64 (.f64 n 1/24) (.f64 n -1/12)) (pow.f64 x 2)))) (*.f64 n (+.f64 x 1/2)))
(+.f64 (.f64 n (+.f64 x 1/2)) (neg.f64 (+.f64 (.f64 (/.f64 n x) 1/12) (/.f64 (*.f64 n -1/24) (pow.f64 x 2)))))
(*.f64 n x)
(+.f64 (.f64 n x) (.f64 1/2 n))
(*.f64 n (+.f64 1/2 x))
(*.f64 n (+.f64 x 1/2))
(+.f64 (.f64 n x) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 1/2 n) (.f64 -1/3 (/.f64 n x)))))
(+.f64 (.f64 n x) (+.f64 (.f64 n 1/2) (+.f64 (.f64 (/.f64 n x) -1/3) (.f64 1/4 (/.f64 n x)))))
(+.f64 (.f64 n x) (+.f64 (.f64 n 1/2) (*.f64 (/.f64 n x) -1/12)))
(+.f64 (.f64 (/.f64 n x) -1/12) (.f64 n (+.f64 x 1/2)))
(+.f64 (.f64 n (+.f64 x 1/2)) (.f64 (/.f64 n x) -1/12))
(+.f64 (.f64 n x) (+.f64 (.f64 1/4 (/.f64 n x)) (+.f64 (.f64 1/2 n) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 n) (+.f64 (.f64 -1/4 n) (.f64 -1/2 (+.f64 (.f64 1/4 n) (.f64 -1/3 n))))) (pow.f64 x 2))) (.f64 -1/3 (/.f64 n x))))))
(+.f64 (.f64 n x) (+.f64 (.f64 n 1/2) (+.f64 (+.f64 (.f64 (/.f64 n x) -1/3) (.f64 -1 (/.f64 (+.f64 (.f64 n -1/4) (+.f64 (.f64 -1/2 (+.f64 (.f64 n 1/4) (.f64 n -1/3))) (.f64 n 1/6))) (pow.f64 x 2)))) (.f64 1/4 (/.f64 n x)))))
(+.f64 (.f64 n x) (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 -1/2 (.f64 n -1/12)) (.f64 n -1/12)) (pow.f64 x 2))) (+.f64 (.f64 n 1/2) (.f64 (/.f64 n x) -1/12))))
(+.f64 (neg.f64 (/.f64 (+.f64 (.f64 n 1/24) (.f64 n -1/12)) (pow.f64 x 2))) (+.f64 (.f64 (/.f64 n x) -1/12) (.f64 n (+.f64 x 1/2))))
(+.f64 (+.f64 (.f64 n (+.f64 x 1/2)) (.f64 (/.f64 n x) -1/12)) (neg.f64 (/.f64 (*.f64 n -1/24) (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))
(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 (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)))
(+.f64 (/.f64 x n) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) 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 x n) (+.f64 (+.f64 (neg.f64 (/.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 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (.f64 -1/2 (/.f64 (pow.f64 x 2) 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 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(-.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 (/.f64 1 n) (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 n) x) (*.f64 1/2 (/.f64 (/.f64 1 n) (pow.f64 x 2))))
(-.f64 (/.f64 (/.f64 1 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 n x)) (-.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 2 (.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) (/.f64 1/2 n)))
(pow.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) n) 1)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))) n))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(neg.f64 (/.f64 (/.f64 1 (/.f64 1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (neg.f64 n)))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(neg.f64 (/.f64 (/.f64 1 (/.f64 -1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) n))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 n) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`rational.json-1`
1296×	`rational.json-2`
1296×	`rational.json-4`
1296×	`rational.json-3`
1278×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	64	13
2	197	13
3	561	13
4	1903	13
5	4842	13

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify169.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1270×	`rational.json-simplify-35`
1022×	`rational.json-simplify-2`
1012×	`rational.json-simplify-1`
796×	`rational.json-simplify-51`
656×	`rational.json-simplify-39`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	1143
1	182	1131
2	417	1131
3	1257	1131
4	3581	1131
5	5981	1131
6	7957	1131

Stop Event

1×	node limit

Counts

75 → 61

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

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

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 n (.f64 n x))
✓	2.9b	(.f64 (.f64 n (*.f64 n x)) (neg.f64 x))
✓	7.1b	(/.f64 n (.f64 (.f64 n (*.f64 n x)) (neg.f64 x)))
✓	15.5b	(.f64 (neg.f64 x) (/.f64 n (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))

Compiler

Compiled 45 to 8 computations (82.2% saved)

series8.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(.f64 (.f64 n (*.f64 n x)) (neg.f64 x))
0.0ms	x	@	0	(.f64 (.f64 n (*.f64 n x)) (neg.f64 x))
0.0ms	n	@	0	(/.f64 n (.f64 (.f64 n (*.f64 n x)) (neg.f64 x)))
0.0ms	n	@	inf	(.f64 (.f64 n (*.f64 n x)) (neg.f64 x))
0.0ms	n	@	0	(.f64 (.f64 n (*.f64 n x)) (neg.f64 x))

rewrite82.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`exponential.json-3`
1618×	`rational.json-1`
1618×	`rational.json-2`
1618×	`rational.json-4`
1618×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	104
1	81	104
2	232	104
3	937	74
4	4659	74

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

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

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

simplify176.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1616×	`rational.json-simplify-44`
1428×	`rational.json-simplify-47`
1094×	`rational.json-simplify-50`
1086×	`rational.json-simplify-49`
998×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	7920
1	1717	6932
2	6903	6474

Stop Event

1×	node limit

Counts

318 → 302

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

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`rational.json-1`
1074×	`rational.json-2`
1074×	`rational.json-3`
1058×	`rational.json-4`
1050×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	79	15
2	185	15
3	402	15
4	1080	15
5	4041	15

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1754×	`rational.json-simplify-35`
1286×	`rational.json-simplify-49`
866×	`rational.json-simplify-46`
746×	`rational.json-simplify-50`
620×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	1758
1	639	1742
2	1892	1740
3	5553	1736

Stop Event

1×	node limit

Counts

98 → 84

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(log.f64 (-.f64 x -1))
	3.1b	(-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))
✓	4.9b	(/.f64 (*.f64 n n) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))
✓	9.9b	(.f64 (+.f64 n n) (/.f64 1/2 (/.f64 (.f64 n n) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))))

Compiler

Compiled 69 to 36 computations (47.8% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite84.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1916×	`rational.json-1`
1916×	`rational.json-2`
1916×	`rational.json-3`
1912×	`rational.json-4`
788×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	117	84
2	314	72
3	954	72
4	5034	72

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

Inputs
(.f64 (+.f64 n n) (/.f64 1/2 (/.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)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)) (/.f64 (*.f64 n n) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 n n) (/.f64 n (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 n n) (*.f64 (/.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 n n) (*.f64 (/.f64 n (*.f64 (-.f64 (log.f64 (+.f64 x 1)) 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1)) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))) (*.f64 n (*.f64 n 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n n) (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (*.f64 n 1/2)) (/.f64 2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 n n) (fabs.f64 n)) (/.f64 (fabs.f64 n) (*.f64 (*.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (*.f64 n (+.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) (fabs.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 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simplify134.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1188×	`rational.json-simplify-2`
1054×	`rational.json-simplify-1`
1030×	`rational.json-simplify-35`
696×	`rational.json-simplify-51`
632×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	376	6369
1	1189	6133
2	3882	6117
3	6986	6115

Stop Event

1×	node limit

Counts

171 → 216

Calls

Call 1

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

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

eval518.0ms (1.3%)

Compiler: Compiled 19143 to 10912 computations (43% saved)

prune555.0ms (1.4%)

Pruning

61 alts after pruning (55 fresh and 6 done)

	Pruned	Kept	Total
New	1029	34	1063
Fresh	20	21	41
Picked	1	0	1
Done	2	6	8
Total	1052	61	1113

Error

0.1b

Counts

1113 → 61

Alt Table

Click to see full alt table

Status	Error	Program
	42.5b	(/.f64 (/.f64 (/.f64 (/.f64 -1 x) n) x) (/.f64 -1 x))
	42.9b	(/.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)))))
	60.8b	(/.f64 (/.f64 (/.f64 2 n) (.f64 n (+.f64 (+.f64 x (pow.f64 x 2)) 1/12))) (/.f64 (.f64 2 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) n))
	39.6b	(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 n x))
	32.0b	(/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (*.f64 n n)) (/.f64 1 n))
	42.9b	(/.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)))
	33.8b	(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n)
	56.3b	(/.f64 (/.f64 (.f64 x (neg.f64 n)) (.f64 (neg.f64 x) (*.f64 n n))) x)
	47.3b	(/.f64 (/.f64 (neg.f64 x) (.f64 x (.f64 (neg.f64 x) (*.f64 n n)))) (/.f64 1 n))
	38.5b	(/.f64 (/.f64 x (*.f64 x n)) x)
	42.4b	(/.f64 (/.f64 2 n) (/.f64 -2 (log.f64 x)))
	38.5b	(/.f64 (/.f64 1 x) (/.f64 (*.f64 x n) x))
	38.4b	(/.f64 (/.f64 1 x) n)
✓	38.4b	(/.f64 (/.f64 1 n) x)
	45.5b	(/.f64 (/.f64 -1/2 n) (pow.f64 x 2))
	45.5b	(/.f64 (/.f64 -2 (/.f64 x n)) (/.f64 (.f64 x (.f64 2 (*.f64 n n))) (neg.f64 x)))
	37.5b	(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 x)) n)
✓	17.8b	(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
	42.5b	(/.f64 (-.f64 x (log.f64 x)) n)
	43.3b	(/.f64 (+.f64 x x) (/.f64 -2 (/.f64 (/.f64 (/.f64 -1 x) n) x)))
	41.9b	(/.f64 (neg.f64 (log.f64 x)) (/.f64 (*.f64 n n) n))
	42.3b	(/.f64 (neg.f64 (log.f64 x)) n)
	39.6b	(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
	25.1b	(/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n))
	43.3b	(/.f64 x (.f64 x (.f64 x n)))
	32.0b	(/.f64 n (/.f64 (*.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))
	32.0b	(/.f64 1 (/.f64 (/.f64 (*.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) n))
	38.5b	(/.f64 1 (/.f64 x (/.f64 x (*.f64 x n))))
	38.5b	(/.f64 1 (/.f64 n (/.f64 1 x)))
	42.5b	(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))
	38.2b	(/.f64 1 (+.f64 (.f64 (/.f64 n x) -1/12) (.f64 n (+.f64 x 1/2))))
	38.5b	(/.f64 1 (+.f64 (.f64 n (+.f64 x 1/2)) (neg.f64 (+.f64 (.f64 (/.f64 n x) 1/12) (/.f64 (*.f64 n -1/24) (pow.f64 x 2))))))
	38.2b	(/.f64 1 (+.f64 (.f64 n x) (+.f64 (.f64 n 1/2) (*.f64 (/.f64 n x) -1/12))))
	36.1b	(/.f64 1 (+.f64 (.f64 n x) (.f64 1/2 n)))
✓	38.5b	(/.f64 1 (*.f64 x n))
	36.1b	(/.f64 1 (*.f64 n (+.f64 x 1/2)))
	45.5b	(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
	42.3b	(/.f64 -1 (/.f64 n (log.f64 x)))
	43.3b	(/.f64 -1 (.f64 (/.f64 -1 x) (.f64 x (*.f64 x n))))
✓	44.9b	(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
	42.5b	(+.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))))))
	42.4b	(+.f64 (/.f64 (log.f64 x) (neg.f64 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)))))
✓	42.6b	(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
	32.8b	(+.f64 (.f64 (/.f64 (/.f64 2 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 1/2 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)))))
	32.8b	(+.f64 (.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) x) (/.f64 1 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)))))
	42.4b	(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
	44.8b	(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
	42.9b	(*.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) n))) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
	42.1b	(.f64 (/.f64 n x) (/.f64 1 (.f64 n n)))
	38.4b	(*.f64 (/.f64 2 x) (/.f64 1/2 n))
	39.3b	(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
✓	42.4b	(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
	32.4b	(*.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) (/.f64 (/.f64 (/.f64 2 n) n) (/.f64 2 n)))
	42.0b	(.f64 (+.f64 n n) (/.f64 1/2 (/.f64 (.f64 n n) (neg.f64 (log.f64 x)))))
	43.6b	(.f64 (+.f64 n n) (/.f64 1/2 (.f64 (pow.f64 n 2) (+.f64 x 1/2))))
	32.4b	(.f64 (.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) (/.f64 (/.f64 2 n) n)) (/.f64 n 2))
	43.0b	(.f64 (.f64 x (/.f64 (/.f64 2 n) (.f64 n (.f64 x x)))) (*.f64 n 1/2))
	42.5b	(.f64 (neg.f64 x) (/.f64 (/.f64 -1 x) (.f64 n x)))
	41.7b	(*.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 x) x) n)) -1))
	44.4b	(*.f64 n (/.f64 (/.f64 (/.f64 1 x) n) n))
	50.6b	(log.f64 (pow.f64 x (/.f64 -1 n)))

Compiler

Compiled 919 to 645 computations (29.8% saved)

regimes1.0s (2.5%)

Counts

104 → 2

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 1 (/.f64 n (/.f64 1 x)))
(/.f64 x (.f64 x (.f64 x n)))
(/.f64 (/.f64 x (*.f64 x n)) x)
(*.f64 n (/.f64 (/.f64 (/.f64 1 x) n) n))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(.f64 (/.f64 n x) (/.f64 1 (.f64 n n)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 1 (+.f64 (.f64 n x) (.f64 1/2 n)))
(/.f64 1 (/.f64 x (/.f64 x (*.f64 x n))))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x n) x))
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 n x))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(.f64 (neg.f64 x) (/.f64 (/.f64 -1 x) (.f64 n x)))
(.f64 x (/.f64 2 (.f64 n (*.f64 x (+.f64 x x)))))
(.f64 (neg.f64 n) (/.f64 (/.f64 1 (.f64 n x)) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 -1 (.f64 (/.f64 -1 x) (.f64 x (*.f64 x n))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 x) n) x) (/.f64 -1 x))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(/.f64 1 (+.f64 (.f64 (/.f64 n x) -1/12) (.f64 n (+.f64 x 1/2))))
(/.f64 (+.f64 x x) (/.f64 -2 (/.f64 (/.f64 (/.f64 -1 x) n) x)))
(/.f64 (/.f64 (.f64 x (neg.f64 n)) (.f64 (neg.f64 x) (*.f64 n n))) x)
(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n)
(*.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 x) x) n)) -1))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2)))
(.f64 x (.f64 1/2 (.f64 n (/.f64 (/.f64 2 n) (.f64 x (*.f64 n x))))))
(.f64 (.f64 x (+.f64 n n)) (/.f64 1/2 (.f64 x (.f64 x (*.f64 n n)))))
(.f64 (.f64 x (/.f64 (/.f64 2 n) (.f64 n (.f64 x x)))) (*.f64 n 1/2))
(.f64 (/.f64 2 (/.f64 2 n)) (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))))
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(/.f64 1 (+.f64 (.f64 n x) (+.f64 (.f64 n 1/2) (*.f64 (/.f64 n x) -1/12))))
(/.f64 (/.f64 (neg.f64 x) (.f64 x (.f64 (neg.f64 x) (*.f64 n n)))) (/.f64 1 n))
(/.f64 (/.f64 -2 (/.f64 x n)) (/.f64 (.f64 x (.f64 2 (*.f64 n n))) (neg.f64 x)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 -1 (/.f64 n (log.f64 x)))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(/.f64 (/.f64 -1/2 n) (pow.f64 x 2))
(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (/.f64 2 n) (/.f64 -2 (log.f64 x)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (neg.f64 (log.f64 x)) (/.f64 (*.f64 n n) n))
(.f64 (+.f64 n n) (/.f64 1/2 (.f64 (pow.f64 n 2) (+.f64 x 1/2))))
(.f64 (+.f64 n n) (/.f64 1/2 (/.f64 (.f64 n n) (neg.f64 (log.f64 x)))))
(-.f64 (/.f64 1 (*.f64 n x)) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))))
(/.f64 1 (+.f64 (.f64 n (+.f64 x 1/2)) (neg.f64 (+.f64 (.f64 (/.f64 n x) 1/12) (/.f64 (*.f64 n -1/24) (pow.f64 x 2))))))
(log.f64 (pow.f64 x (/.f64 -1 n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 x)) n)
(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(-.f64 (+.f64 (/.f64 x n) 1) (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))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 n (/.f64 (*.f64 n 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 (/.f64 1 n) (/.f64 -1 (/.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))
(/.f64 1 (/.f64 (/.f64 (*.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) n))
(/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (*.f64 n n)) (/.f64 1 n))
(.f64 (.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) (/.f64 (/.f64 2 n) n)) (/.f64 n 2))
(.f64 (+.f64 n n) (/.f64 1/2 (/.f64 (.f64 n n) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))))
(*.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) (/.f64 (/.f64 (/.f64 2 n) n) (/.f64 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 2 n) (.f64 n (+.f64 (+.f64 x (pow.f64 x 2)) 1/12))) (/.f64 (.f64 2 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) n))
(/.f64 (+.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)))))) 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 (/.f64 2 n) (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 (*.f64 2 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) 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 1/2 (pow.f64 x 2))))
(/.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 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) n))) (-.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 n (/.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (.f64 n (/.f64 n (*.f64 (-.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 (/.f64 2 n) (/.f64 (/.f64 n (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))) (/.f64 (*.f64 2 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) 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 (log.f64 (/.f64 1 x)) (neg.f64 n))) x) (/.f64 1 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 (/.f64 2 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 1/2 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 x) (neg.f64 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 (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))))))
(+.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))))))
(+.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (+.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (/.f64 -1/6 (pow.f64 n 3)))) (.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 (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 1 (pow.f64 n 2)) (/.f64 1 n)) (/.f64 1/2 (pow.f64 x 2))) (+.f64 (/.f64 (-.f64 (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 n 4))) (.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (.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))))))
(+.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 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4)))) (-.f64 (neg.f64 (+.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 (/.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 x))) n) (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (/.f64 -1/6 (pow.f64 n 3))))))

Outputs

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

Calls

4 calls:

352.0ms	x
316.0ms	(/.f64 1 n)
259.0ms	n
11.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
5.7b	2	`x`
12.5b	3	`n`
13.1b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
11.3b	4	`(/.f64 1 n)`

Compiler

Compiled 1960 to 1218 computations (37.9% saved)

bsearch12.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	7.834612416474398	8.743922939669444

Results

6.0ms	15×	body	1024	valid
2.0ms	8×	body	512	valid
1.0ms	2×	body	2048	valid
1.0ms	7×	body	256	valid
1.0ms	4×	body	256	unsamplable

Compiler

Compiled 156 to 119 computations (23.7% saved)

regimes1.1s (2.7%)

Counts

100 → 2

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 1 (/.f64 n (/.f64 1 x)))
(/.f64 x (.f64 x (.f64 x n)))
(/.f64 (/.f64 x (*.f64 x n)) x)
(*.f64 n (/.f64 (/.f64 (/.f64 1 x) n) n))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(.f64 (/.f64 n x) (/.f64 1 (.f64 n n)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 1 (+.f64 (.f64 n x) (.f64 1/2 n)))
(/.f64 1 (/.f64 x (/.f64 x (*.f64 x n))))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x n) x))
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 n x))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(.f64 (neg.f64 x) (/.f64 (/.f64 -1 x) (.f64 n x)))
(.f64 x (/.f64 2 (.f64 n (*.f64 x (+.f64 x x)))))
(.f64 (neg.f64 n) (/.f64 (/.f64 1 (.f64 n x)) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 -1 (.f64 (/.f64 -1 x) (.f64 x (*.f64 x n))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 x) n) x) (/.f64 -1 x))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(/.f64 1 (+.f64 (.f64 (/.f64 n x) -1/12) (.f64 n (+.f64 x 1/2))))
(/.f64 (+.f64 x x) (/.f64 -2 (/.f64 (/.f64 (/.f64 -1 x) n) x)))
(/.f64 (/.f64 (.f64 x (neg.f64 n)) (.f64 (neg.f64 x) (*.f64 n n))) x)
(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n)
(*.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 x) x) n)) -1))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2)))
(.f64 x (.f64 1/2 (.f64 n (/.f64 (/.f64 2 n) (.f64 x (*.f64 n x))))))
(.f64 (.f64 x (+.f64 n n)) (/.f64 1/2 (.f64 x (.f64 x (*.f64 n n)))))
(.f64 (.f64 x (/.f64 (/.f64 2 n) (.f64 n (.f64 x x)))) (*.f64 n 1/2))
(.f64 (/.f64 2 (/.f64 2 n)) (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))))
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(/.f64 1 (+.f64 (.f64 n x) (+.f64 (.f64 n 1/2) (*.f64 (/.f64 n x) -1/12))))
(/.f64 (/.f64 (neg.f64 x) (.f64 x (.f64 (neg.f64 x) (*.f64 n n)))) (/.f64 1 n))
(/.f64 (/.f64 -2 (/.f64 x n)) (/.f64 (.f64 x (.f64 2 (*.f64 n n))) (neg.f64 x)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 -1 (/.f64 n (log.f64 x)))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(/.f64 (/.f64 -1/2 n) (pow.f64 x 2))
(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (/.f64 2 n) (/.f64 -2 (log.f64 x)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (neg.f64 (log.f64 x)) (/.f64 (*.f64 n n) n))
(.f64 (+.f64 n n) (/.f64 1/2 (.f64 (pow.f64 n 2) (+.f64 x 1/2))))
(.f64 (+.f64 n n) (/.f64 1/2 (/.f64 (.f64 n n) (neg.f64 (log.f64 x)))))
(-.f64 (/.f64 1 (*.f64 n x)) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))))
(/.f64 1 (+.f64 (.f64 n (+.f64 x 1/2)) (neg.f64 (+.f64 (.f64 (/.f64 n x) 1/12) (/.f64 (*.f64 n -1/24) (pow.f64 x 2))))))
(log.f64 (pow.f64 x (/.f64 -1 n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 x)) n)
(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(-.f64 (+.f64 (/.f64 x n) 1) (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))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 n (/.f64 (*.f64 n 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 (/.f64 1 n) (/.f64 -1 (/.f64 1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1))))))
(/.f64 1 (/.f64 (/.f64 (*.f64 n n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) n))
(/.f64 (/.f64 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (*.f64 n n)) (/.f64 1 n))
(.f64 (.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) (/.f64 (/.f64 2 n) n)) (/.f64 n 2))
(.f64 (+.f64 n n) (/.f64 1/2 (/.f64 (.f64 n n) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))))
(*.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) (/.f64 (/.f64 (/.f64 2 n) n) (/.f64 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 2 n) (.f64 n (+.f64 (+.f64 x (pow.f64 x 2)) 1/12))) (/.f64 (.f64 2 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) n))
(/.f64 (+.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)))))) 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 (/.f64 2 n) (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 (*.f64 2 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) 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 1/2 (pow.f64 x 2))))
(/.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 (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)) (/.f64 n (/.f64 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))) n))) (-.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 n (/.f64 (/.f64 -1 (-.f64 (log.f64 x) (log.f64 (+.f64 x 1)))) (.f64 n (/.f64 n (*.f64 (-.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 (/.f64 2 n) (/.f64 (/.f64 n (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)))) (/.f64 (*.f64 2 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x))) 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 (log.f64 (/.f64 1 x)) (neg.f64 n))) x) (/.f64 1 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 (/.f64 2 x) (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 1/2 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 x) (neg.f64 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 (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))))))
(+.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))))))

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

Calls

4 calls:

412.0ms	(/.f64 1 n)
382.0ms	n
226.0ms	x
11.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

Results

Error	Segments	Branch
5.8b	2	`x`
12.5b	3	`n`
13.1b	2	`(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))`
11.3b	4	`(/.f64 1 n)`

Compiler

Compiled 1618 to 951 computations (41.2% saved)

bsearch48.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
10.0ms	7.834612416474398	8.743922939669444

Results

5.0ms	13×	body	1024	valid
2.0ms	7×	body	512	valid
2.0ms	10×	body	256	valid
1.0ms	2×	body	2048	valid
0.0ms	2×	body	256	unsamplable

Compiler

Compiled 74 to 55 computations (25.7% saved)

regimes555.0ms (1.4%)

Counts

67 → 4

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 1 (/.f64 n (/.f64 1 x)))
(/.f64 x (.f64 x (.f64 x n)))
(/.f64 (/.f64 x (*.f64 x n)) x)
(*.f64 n (/.f64 (/.f64 (/.f64 1 x) n) n))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(.f64 (/.f64 n x) (/.f64 1 (.f64 n n)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 1 (+.f64 (.f64 n x) (.f64 1/2 n)))
(/.f64 1 (/.f64 x (/.f64 x (*.f64 x n))))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x n) x))
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 n x))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(.f64 (neg.f64 x) (/.f64 (/.f64 -1 x) (.f64 n x)))
(.f64 x (/.f64 2 (.f64 n (*.f64 x (+.f64 x x)))))
(.f64 (neg.f64 n) (/.f64 (/.f64 1 (.f64 n x)) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 -1 (.f64 (/.f64 -1 x) (.f64 x (*.f64 x n))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 x) n) x) (/.f64 -1 x))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(/.f64 1 (+.f64 (.f64 (/.f64 n x) -1/12) (.f64 n (+.f64 x 1/2))))
(/.f64 (+.f64 x x) (/.f64 -2 (/.f64 (/.f64 (/.f64 -1 x) n) x)))
(/.f64 (/.f64 (.f64 x (neg.f64 n)) (.f64 (neg.f64 x) (*.f64 n n))) x)
(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n)
(*.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 x) x) n)) -1))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2)))
(.f64 x (.f64 1/2 (.f64 n (/.f64 (/.f64 2 n) (.f64 x (*.f64 n x))))))
(.f64 (.f64 x (+.f64 n n)) (/.f64 1/2 (.f64 x (.f64 x (*.f64 n n)))))
(.f64 (.f64 x (/.f64 (/.f64 2 n) (.f64 n (.f64 x x)))) (*.f64 n 1/2))
(.f64 (/.f64 2 (/.f64 2 n)) (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))))
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(/.f64 1 (+.f64 (.f64 n x) (+.f64 (.f64 n 1/2) (*.f64 (/.f64 n x) -1/12))))
(/.f64 (/.f64 (neg.f64 x) (.f64 x (.f64 (neg.f64 x) (*.f64 n n)))) (/.f64 1 n))
(/.f64 (/.f64 -2 (/.f64 x n)) (/.f64 (.f64 x (.f64 2 (*.f64 n n))) (neg.f64 x)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 -1 (/.f64 n (log.f64 x)))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(/.f64 (/.f64 -1/2 n) (pow.f64 x 2))
(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (/.f64 2 n) (/.f64 -2 (log.f64 x)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (neg.f64 (log.f64 x)) (/.f64 (*.f64 n n) n))
(.f64 (+.f64 n n) (/.f64 1/2 (.f64 (pow.f64 n 2) (+.f64 x 1/2))))
(.f64 (+.f64 n n) (/.f64 1/2 (/.f64 (.f64 n n) (neg.f64 (log.f64 x)))))
(-.f64 (/.f64 1 (*.f64 n x)) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))))
(/.f64 1 (+.f64 (.f64 n (+.f64 x 1/2)) (neg.f64 (+.f64 (.f64 (/.f64 n x) 1/12) (/.f64 (*.f64 n -1/24) (pow.f64 x 2))))))
(log.f64 (pow.f64 x (/.f64 -1 n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n)
(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (log.f64 x)) n)
(*.f64 (/.f64 1 n) (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 1 (/.f64 n (-.f64 (log.f64 (+.f64 x 1)) (log.f64 x))))

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

Calls

3 calls:

222.0ms	n
200.0ms	(/.f64 1 n)
113.0ms	x

Results

Error	Segments	Branch
12.7b	4	`x`
13.1b	3	`n`
11.4b	4	`(/.f64 1 n)`

Compiler

Compiled 733 to 363 computations (50.5% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	9.082629547658981e-5	304499987902.70605
0.0ms	2.067613204827305e-50	2.9204729199753727e-47
0.0ms	2.6268391024862915e-93	1.3907146399920567e-91

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes1.0s (2.6%)

Counts

62 → 2

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 1 (/.f64 n (/.f64 1 x)))
(/.f64 x (.f64 x (.f64 x n)))
(/.f64 (/.f64 x (*.f64 x n)) x)
(*.f64 n (/.f64 (/.f64 (/.f64 1 x) n) n))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(.f64 (/.f64 n x) (/.f64 1 (.f64 n n)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 1 (+.f64 (.f64 n x) (.f64 1/2 n)))
(/.f64 1 (/.f64 x (/.f64 x (*.f64 x n))))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x n) x))
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 n x))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(.f64 (neg.f64 x) (/.f64 (/.f64 -1 x) (.f64 n x)))
(.f64 x (/.f64 2 (.f64 n (*.f64 x (+.f64 x x)))))
(.f64 (neg.f64 n) (/.f64 (/.f64 1 (.f64 n x)) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 -1 (.f64 (/.f64 -1 x) (.f64 x (*.f64 x n))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 x) n) x) (/.f64 -1 x))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(/.f64 1 (+.f64 (.f64 (/.f64 n x) -1/12) (.f64 n (+.f64 x 1/2))))
(/.f64 (+.f64 x x) (/.f64 -2 (/.f64 (/.f64 (/.f64 -1 x) n) x)))
(/.f64 (/.f64 (.f64 x (neg.f64 n)) (.f64 (neg.f64 x) (*.f64 n n))) x)
(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n)
(*.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 x) x) n)) -1))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2)))
(.f64 x (.f64 1/2 (.f64 n (/.f64 (/.f64 2 n) (.f64 x (*.f64 n x))))))
(.f64 (.f64 x (+.f64 n n)) (/.f64 1/2 (.f64 x (.f64 x (*.f64 n n)))))
(.f64 (.f64 x (/.f64 (/.f64 2 n) (.f64 n (.f64 x x)))) (*.f64 n 1/2))
(.f64 (/.f64 2 (/.f64 2 n)) (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))))
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(/.f64 1 (+.f64 (.f64 n x) (+.f64 (.f64 n 1/2) (*.f64 (/.f64 n x) -1/12))))
(/.f64 (/.f64 (neg.f64 x) (.f64 x (.f64 (neg.f64 x) (*.f64 n n)))) (/.f64 1 n))
(/.f64 (/.f64 -2 (/.f64 x n)) (/.f64 (.f64 x (.f64 2 (*.f64 n n))) (neg.f64 x)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 -1 (/.f64 n (log.f64 x)))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(/.f64 (/.f64 -1/2 n) (pow.f64 x 2))
(/.f64 1 (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (/.f64 2 n) (/.f64 -2 (log.f64 x)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (neg.f64 (log.f64 x)) (/.f64 (*.f64 n n) n))
(.f64 (+.f64 n n) (/.f64 1/2 (.f64 (pow.f64 n 2) (+.f64 x 1/2))))
(.f64 (+.f64 n n) (/.f64 1/2 (/.f64 (.f64 n n) (neg.f64 (log.f64 x)))))
(-.f64 (/.f64 1 (*.f64 n x)) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 (/.f64 1/2 n) (pow.f64 x 2)))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(-.f64 (/.f64 1 (.f64 x n)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) n))))
(-.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) n))))
(/.f64 1 (+.f64 (.f64 n (+.f64 x 1/2)) (neg.f64 (+.f64 (.f64 (/.f64 n x) 1/12) (/.f64 (*.f64 n -1/24) (pow.f64 x 2))))))
(log.f64 (pow.f64 x (/.f64 -1 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 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n)

Calls

3 calls:

532.0ms	n
365.0ms	(/.f64 1 n)
121.0ms	x

Results

Error	Segments	Branch
14.2b	2	`x`
17.5b	10	`n`
17.5b	9	`(/.f64 1 n)`

Compiler

Compiled 681 to 335 computations (50.8% saved)

bsearch100.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
99.0ms	1.8636256742688664e-8	7.834612416474398

Results

51.0ms	5×	body	2048	valid
25.0ms	65×	body	1024	valid
9.0ms	36×	body	512	valid
6.0ms	30×	body	256	infinite
6.0ms	38×	body	256	valid
1.0ms	4×	body	256	unsamplable

Compiler

Compiled 272 to 177 computations (34.9% saved)

regimes654.0ms (1.6%)

Counts

50 → 2

Calls

Call 1

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

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

Calls

3 calls:

380.0ms	(/.f64 1 n)
220.0ms	n
42.0ms	x

Results

Error	Segments	Branch
14.2b	2	`x`
21.3b	10	`n`
22.1b	8	`(/.f64 1 n)`

Compiler

Compiled 529 to 251 computations (52.6% saved)

bsearch52.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
51.0ms	1.8636256742688664e-8	7.834612416474398

Results

26.0ms	67×	body	1024	valid
8.0ms	32×	body	512	valid
6.0ms	39×	body	256	valid
5.0ms	28×	body	256	infinite
4.0ms	6×	body	2048	valid
1.0ms	6×	body	256	unsamplable

Compiler

Compiled 245 to 159 computations (35.1% saved)

regimes355.0ms (0.9%)

Counts

44 → 2

Calls

Call 1

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

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

Calls

3 calls:

189.0ms	n
118.0ms	(/.f64 1 n)
36.0ms	x

Results

Error	Segments	Branch
14.4b	2	`x`
20.9b	11	`n`
23.2b	7	`(/.f64 1 n)`

Compiler

Compiled 486 to 228 computations (53.1% saved)

bsearch58.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
57.0ms	1.8636256742688664e-8	7.834612416474398

Results

27.0ms	74×	body	1024	valid
13.0ms	71×	body	256	infinite
9.0ms	37×	body	512	valid
4.0ms	30×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 236 to 159 computations (32.6% saved)

regimes161.0ms (0.4%)

Counts

42 → 3

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 1 (/.f64 n (/.f64 1 x)))
(/.f64 x (.f64 x (.f64 x n)))
(/.f64 (/.f64 x (*.f64 x n)) x)
(*.f64 n (/.f64 (/.f64 (/.f64 1 x) n) n))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(.f64 (/.f64 n x) (/.f64 1 (.f64 n n)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 1 (+.f64 (.f64 n x) (.f64 1/2 n)))
(/.f64 1 (/.f64 x (/.f64 x (*.f64 x n))))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x n) x))
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 n x))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(.f64 (neg.f64 x) (/.f64 (/.f64 -1 x) (.f64 n x)))
(.f64 x (/.f64 2 (.f64 n (*.f64 x (+.f64 x x)))))
(.f64 (neg.f64 n) (/.f64 (/.f64 1 (.f64 n x)) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 -1 (.f64 (/.f64 -1 x) (.f64 x (*.f64 x n))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 x) n) x) (/.f64 -1 x))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(/.f64 1 (+.f64 (.f64 (/.f64 n x) -1/12) (.f64 n (+.f64 x 1/2))))
(/.f64 (+.f64 x x) (/.f64 -2 (/.f64 (/.f64 (/.f64 -1 x) n) x)))
(/.f64 (/.f64 (.f64 x (neg.f64 n)) (.f64 (neg.f64 x) (*.f64 n n))) x)
(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n)
(*.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 x) x) n)) -1))
(.f64 2 (/.f64 (.f64 x n) (.f64 x (.f64 (.f64 x (.f64 n n)) 2))))
(.f64 n (.f64 x (.f64 (/.f64 2 (.f64 n (.f64 n (.f64 x x)))) 1/2)))
(.f64 x (.f64 1/2 (.f64 n (/.f64 (/.f64 2 n) (.f64 x (*.f64 n x))))))
(.f64 (.f64 x (+.f64 n n)) (/.f64 1/2 (.f64 x (.f64 x (*.f64 n n)))))
(.f64 (.f64 x (/.f64 (/.f64 2 n) (.f64 n (.f64 x x)))) (*.f64 n 1/2))
(.f64 (/.f64 2 (/.f64 2 n)) (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))))
(.f64 (/.f64 (/.f64 2 n) (.f64 n (.f64 x x))) (.f64 x (*.f64 n 1/2)))
(/.f64 1 (+.f64 (.f64 n x) (+.f64 (.f64 n 1/2) (*.f64 (/.f64 n x) -1/12))))
(/.f64 (/.f64 (neg.f64 x) (.f64 x (.f64 (neg.f64 x) (*.f64 n n)))) (/.f64 1 n))
(/.f64 (/.f64 -2 (/.f64 x n)) (/.f64 (.f64 x (.f64 2 (*.f64 n n))) (neg.f64 x)))

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

Calls

3 calls:

67.0ms	n
50.0ms	(/.f64 1 n)
35.0ms	x

Results

Error	Segments	Branch
31.0b	2	`x`
25.5b	4	`n`
25.5b	3	`(/.f64 1 n)`

Compiler

Compiled 475 to 222 computations (53.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-33.02737857288173	-0.0002646934646404659
0.0ms	-7.165669547507922e+216	-1.759159214645734e+212

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes122.0ms (0.3%)

Counts

31 → 3

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 1 (/.f64 n (/.f64 1 x)))
(/.f64 x (.f64 x (.f64 x n)))
(/.f64 (/.f64 x (*.f64 x n)) x)
(*.f64 n (/.f64 (/.f64 (/.f64 1 x) n) n))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(.f64 (/.f64 n x) (/.f64 1 (.f64 n n)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 1 (+.f64 (.f64 n x) (.f64 1/2 n)))
(/.f64 1 (/.f64 x (/.f64 x (*.f64 x n))))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x n) x))
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 n x))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(.f64 (neg.f64 x) (/.f64 (/.f64 -1 x) (.f64 n x)))
(.f64 x (/.f64 2 (.f64 n (*.f64 x (+.f64 x x)))))
(.f64 (neg.f64 n) (/.f64 (/.f64 1 (.f64 n x)) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 -1 (.f64 (/.f64 -1 x) (.f64 x (*.f64 x n))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 x) n) x) (/.f64 -1 x))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(/.f64 1 (+.f64 (.f64 (/.f64 n x) -1/12) (.f64 n (+.f64 x 1/2))))
(/.f64 (+.f64 x x) (/.f64 -2 (/.f64 (/.f64 (/.f64 -1 x) n) x)))
(/.f64 (/.f64 (.f64 x (neg.f64 n)) (.f64 (neg.f64 x) (*.f64 n n))) x)
(/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n)

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

Calls

3 calls:

50.0ms	n
39.0ms	(/.f64 1 n)
27.0ms	x

Results

Error	Segments	Branch
31.0b	2	`x`
26.9b	4	`n`
26.9b	3	`(/.f64 1 n)`

Compiler

Compiled 310 to 147 computations (52.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-33.02737857288173	-0.0002646934646404659
0.0ms	-1.008138454366638e+140	-1.4559652091736068e+135

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes122.0ms (0.3%)

Counts

30 → 3

Calls

Call 1

Inputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 2 x) (/.f64 1/2 n))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 1 (/.f64 n (/.f64 1 x)))
(/.f64 x (.f64 x (.f64 x n)))
(/.f64 (/.f64 x (*.f64 x n)) x)
(*.f64 n (/.f64 (/.f64 (/.f64 1 x) n) n))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(.f64 (/.f64 n x) (/.f64 1 (.f64 n n)))
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n)))
(/.f64 1 (+.f64 (.f64 n x) (.f64 1/2 n)))
(/.f64 1 (/.f64 x (/.f64 x (*.f64 x n))))
(/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x))))
(/.f64 (/.f64 1 x) (/.f64 (*.f64 x n) x))
(/.f64 (/.f64 (/.f64 1 x) x) (/.f64 n x))
(.f64 (neg.f64 x) (/.f64 -1 (.f64 n (*.f64 x x))))
(.f64 (neg.f64 x) (/.f64 (/.f64 -1 x) (.f64 n x)))
(.f64 x (/.f64 2 (.f64 n (*.f64 x (+.f64 x x)))))
(.f64 (neg.f64 n) (/.f64 (/.f64 1 (.f64 n x)) (neg.f64 n)))
(.f64 (/.f64 (/.f64 x n) (.f64 n (*.f64 x x))) n)
(/.f64 -1 (.f64 (/.f64 -1 x) (.f64 x (*.f64 x n))))
(/.f64 (/.f64 (/.f64 (/.f64 -1 x) n) x) (/.f64 -1 x))
(.f64 (neg.f64 n) (/.f64 x (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (neg.f64 x) (/.f64 n (.f64 (.f64 n (.f64 n x)) (neg.f64 x))))
(.f64 (/.f64 (/.f64 1 x) (.f64 x (.f64 n n))) (.f64 x n))
(/.f64 1 (+.f64 (.f64 (/.f64 n x) -1/12) (.f64 n (+.f64 x 1/2))))
(/.f64 (+.f64 x x) (/.f64 -2 (/.f64 (/.f64 (/.f64 -1 x) n) x)))
(/.f64 (/.f64 (.f64 x (neg.f64 n)) (.f64 (neg.f64 x) (*.f64 n n))) x)

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

Calls

3 calls:

50.0ms	n
40.0ms	(/.f64 1 n)
25.0ms	x

Results

Error	Segments	Branch
32.9b	2	`x`
28.6b	4	`n`
28.6b	3	`(/.f64 1 n)`

Compiler

Compiled 297 to 143 computations (51.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-33.02737857288173	-0.0002646934646404659
0.0ms	-1.008138454366638e+140	-1.4559652091736068e+135

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes61.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	n
21.0ms	x
15.0ms	(/.f64 1 n)

Results

Error	Segments	Branch
34.4b	2	`x`
30.6b	3	`n`
30.6b	2	`(/.f64 1 n)`

Compiler

Compiled 117 to 69 computations (41% saved)

bsearch88.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	-5.684533791339539e-213	-1.3955430031626007e-217
42.0ms	-3777.9550067785153	-0.030277910122151943

Results

33.0ms	202×	body	256	valid
22.0ms	92×	body	256	infinite
21.0ms	42×	body	1024	valid
8.0ms	28×	body	512	valid

Compiler

Compiled 394 to 321 computations (18.5% saved)

regimes40.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

Outputs
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 x n))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))

Calls

3 calls:

18.0ms	n
12.0ms	(/.f64 1 n)
6.0ms	x

Results

Error	Segments	Branch
36.1b	1	`x`
33.7b	3	`n`
33.9b	2	`(/.f64 1 n)`

Compiler

Compiled 90 to 53 computations (41.1% saved)

bsearch88.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	-6.868295984679409e-136	-9.919272453784626e-141
43.0ms	-3777.9550067785153	-0.030277910122151943

Results

35.0ms	213×	body	256	valid
22.0ms	47×	body	1024	valid
18.0ms	81×	body	256	infinite
8.0ms	28×	body	512	valid

Compiler

Compiled 416 to 303 computations (27.2% saved)

regimes34.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

Outputs
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 x (.f64 x (.f64 x n)))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))

Calls

3 calls:

15.0ms	n
11.0ms	(/.f64 1 n)
5.0ms	x

Results

Error	Segments	Branch
36.1b	1	`x`
34.2b	3	`n`
34.2b	2	`(/.f64 1 n)`

Compiler

Compiled 72 to 43 computations (40.3% saved)

bsearch51.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	-5.684533791339539e-213	-1.3955430031626007e-217
41.0ms	-3777.9550067785153	-0.030277910122151943

Results

21.0ms	120×	body	256	valid
18.0ms	38×	body	1024	valid
5.0ms	18×	body	512	valid
4.0ms	17×	body	256	infinite

Compiler

Compiled 240 to 169 computations (29.6% saved)

regimes16.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 1 (*.f64 n (+.f64 x 1/2)))

Calls

3 calls:

5.0ms	(/.f64 1 n)
5.0ms	n
4.0ms	x

Results

Error	Segments	Branch
36.1b	1	`x`
36.1b	1	`n`
36.1b	1	`(/.f64 1 n)`

Compiler

Compiled 49 to 34 computations (30.6% saved)

regimes14.0ms (0%)

Accuracy

Total -0.2b remaining (-0.5%)

Threshold costs -0.2b (-0.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	(/.f64 1 n)
4.0ms	n

Results

Error	Segments	Branch
38.4b	1	`x`
38.4b	1	`n`
38.4b	1	`(/.f64 1 n)`

Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify14.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1241

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 17/2) (+.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (+.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (/.f64 -1/6 (pow.f64 n 3)))) (.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 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n)))
(if (<=.f64 x 17/2) (/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n)))
(if (<=.f64 (/.f64 1 n) 5871356456934583/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n) (if (<=.f64 (/.f64 1 n) 8424983333484575/210624583337114373395836055367340864637790190801098222508621955072) (/.f64 1 (*.f64 n (+.f64 x 1/2))) (if (<=.f64 (/.f64 1 n) 7378697629483821/73786976294838206464) (/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))
(if (<=.f64 x 1) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n))
(if (<=.f64 x 1) (/.f64 (-.f64 x (log.f64 x)) n) (/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n))
(if (<=.f64 x 2476979795053773/4503599627370496) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n))
(if (<=.f64 (/.f64 1 n) -4999999999999999800927527874125884903225023646122271188244059062844836125828179933504382251951246898414048346036516555219607894574104645734358989258735238802169125071413611270845861073660931792484870623193962544889856) (/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n) (if (<=.f64 (/.f64 1 n) -20) (.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 x) x) n)) -1)) (/.f64 1 (.f64 n (+.f64 x 1/2)))))
(if (<=.f64 (/.f64 1 n) -100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n) (if (<=.f64 (/.f64 1 n) -20) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n))) (/.f64 1 (*.f64 n (+.f64 x 1/2)))))
(if (<=.f64 (/.f64 1 n) -100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x)))) (if (<=.f64 (/.f64 1 n) -20) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n))) (/.f64 1 (*.f64 n (+.f64 x 1/2)))))
(if (<=.f64 n -15/2) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 n -869410131688397/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n))) (/.f64 1 (.f64 n (+.f64 x 1/2)))))
(if (<=.f64 n -19/2) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 n -4505023464460713/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (.f64 (/.f64 1 (.f64 x x)) (/.f64 x n)) (/.f64 1 (.f64 n (+.f64 x 1/2)))))
(if (<=.f64 n -9/2) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 n -7762590461503545/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464) (/.f64 x (.f64 x (.f64 x n))) (/.f64 1 (.f64 n (+.f64 x 1/2)))))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))

Outputs
(if (<=.f64 x 17/2) (+.f64 (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) (+.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 (log.f64 x) 3)) (/.f64 -1/6 (pow.f64 n 3)))) (.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 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n)))
(if (<=.f64 x 17/2) (/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 1 x)) (neg.f64 n))) (*.f64 x n)))
(if (<=.f64 (/.f64 1 n) 5871356456934583/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n) (if (<=.f64 (/.f64 1 n) 8424983333484575/210624583337114373395836055367340864637790190801098222508621955072) (/.f64 1 (*.f64 n (+.f64 x 1/2))) (if (<=.f64 (/.f64 1 n) 7378697629483821/73786976294838206464) (/.f64 (-.f64 (log.f64 (-.f64 x -1)) (log.f64 x)) n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))))
(if (<=.f64 x 1) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n))
(if (<=.f64 x 1) (/.f64 (-.f64 x (log.f64 x)) n) (/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n))
(if (<=.f64 x 2476979795053773/4503599627370496) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n))
(if (<=.f64 (/.f64 1 n) -4999999999999999800927527874125884903225023646122271188244059062844836125828179933504382251951246898414048346036516555219607894574104645734358989258735238802169125071413611270845861073660931792484870623193962544889856) (/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n) (if (<=.f64 (/.f64 1 n) -20) (.f64 (neg.f64 x) (+.f64 (-.f64 1 (/.f64 (/.f64 (/.f64 1 x) x) n)) -1)) (/.f64 1 (.f64 n (+.f64 x 1/2)))))
(if (<=.f64 (/.f64 1 n) -100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (/.f64 (/.f64 (.f64 (neg.f64 x) (/.f64 (neg.f64 n) x)) (.f64 x n)) n) (if (<=.f64 (/.f64 1 n) -20) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n))) (/.f64 1 (*.f64 n (+.f64 x 1/2)))))
(if (<=.f64 (/.f64 1 n) -100000000000000005928380124081487003706362488767045328864850074482999577828473980652023296508018124569151792237293382948229697163514582401024) (/.f64 (neg.f64 x) (neg.f64 (.f64 n (.f64 x x)))) (if (<=.f64 (/.f64 1 n) -20) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n))) (/.f64 1 (*.f64 n (+.f64 x 1/2)))))
(if (<=.f64 n -15/2) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 n -869410131688397/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -1 x) n))) (/.f64 1 (.f64 n (+.f64 x 1/2)))))
(if (<=.f64 n -19/2) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 n -4505023464460713/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (.f64 (/.f64 1 (.f64 x x)) (/.f64 x n)) (/.f64 1 (.f64 n (+.f64 x 1/2)))))
(if (<=.f64 n -9/2) (/.f64 1 (.f64 n (+.f64 x 1/2))) (if (<=.f64 n -7762590461503545/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464) (/.f64 x (.f64 x (.f64 x n))) (/.f64 1 (.f64 n (+.f64 x 1/2)))))
(/.f64 1 (*.f64 n (+.f64 x 1/2)))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))

Compiler

Compiled 474 to 333 computations (29.7% saved)

soundness315.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1794×	`rational.json-simplify-35`
1794×	`rational.json-simplify-35`
1140×	`rational.json-simplify-2`
1140×	`rational.json-simplify-2`
1044×	`rational.json-simplify-42`

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 397 to 299 computations (24.7% saved)

end167.0ms (0.4%)

Compiler: Compiled 446 to 262 computations (41.3% saved)