Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	50%	0%	0%	0%	50%	0%	2

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample5.1s (23.2%)

Results

3.9s	2221×	body	1024	valid
876.0ms	4970×	body	256	valid
327.0ms	1065×	body	512	valid

Bogosity

preprocess4.0s (18.2%)

Algorithm

2×	egg-herbie

Rules

24446×	`rational.json-simplify-41`
2306×	`rational.json-simplify-1`
1296×	`rational.json-simplify-35`
2×	`rational.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	18	33
2	26	33
3	36	33
4	54	33
5	100	33
6	230	33
7	622	33
8	789	33
9	795	33
10	801	33
11	807	33
12	813	33
13	819	33
14	825	33
15	831	33
16	837	33
17	843	33
18	849	33
19	855	33
20	861	33
21	867	33
22	873	33
23	2771	33
24	2777	33
25	2783	33
26	2789	33
27	2795	33
28	2801	33
29	3598	33
30	3604	33
31	3610	33
32	3616	33
33	3622	33
34	3628	33
35	3634	33
36	3640	33
37	3646	33
38	3652	33
39	3658	33
40	3664	33
41	3670	33
42	3676	33
43	3682	33
44	3688	33
45	3694	33
46	3700	33
47	3706	33
48	3712	33
49	3718	33
50	3724	33
51	3730	33
52	3736	33
53	3742	33
54	3748	33
55	3754	33
56	3760	33
57	3766	33
58	3772	33
59	3778	33
60	3784	33
61	3790	33
62	3796	33
63	3802	33
64	3808	33
65	3814	33
66	3820	33
67	3826	33
68	3832	33
69	3838	33
70	3844	33
71	3850	33
72	3856	33
73	3862	33
74	3868	33
75	3874	33
76	3880	33
77	3886	33
78	3892	33
79	3898	33
80	3904	33
81	3910	33
82	3916	33
83	3922	33
84	3928	33
85	3934	33
86	3940	33
87	3946	33
88	3952	33
89	3958	33
90	3964	33
91	3970	33
92	3976	33
93	3982	33
94	3988	33
95	3994	33
96	4000	33
97	4006	33
98	4012	33
99	4018	33
100	4024	33
101	4030	33
102	4036	33
103	4042	33
104	4048	33
105	4054	33
106	4060	33
107	4066	33
108	4072	33
109	4078	33
110	4084	33
111	4090	33
112	4096	33
113	4102	33
114	4108	33
115	4114	33
116	4120	33
117	4126	33
118	4132	33
119	4138	33
120	4144	33
121	4150	33
122	4156	33
123	4162	33
124	4168	33
125	4174	33
126	4180	33
127	4186	33
128	4192	33
129	4198	33
130	4204	33
131	4210	33
132	4216	33
133	4222	33
134	4228	33
135	4234	33
136	4240	33
137	4246	33
138	4252	33
139	4258	33
140	4264	33
141	4270	33
142	4276	33
143	4282	33
144	4288	33
145	4294	33
146	4300	33
147	4306	33
148	4312	33
149	4318	33
150	4324	33
151	4330	33
152	4336	33
153	4342	33
154	4348	33
155	4354	33
156	4360	33
157	4366	33
158	4372	33
159	4378	33
160	4384	33
161	4390	33
162	4396	33
163	4402	33
164	4408	33
165	4414	33
166	4420	33
167	4426	33
168	4432	33
169	4438	33
170	4444	33
171	4450	33
172	4456	33
173	4462	33
174	4468	33
175	4474	33
176	4480	33
177	4486	33
178	4492	33
179	4498	33
180	4504	33
181	4510	33
182	4516	33
183	4522	33
184	4528	33
185	4534	33
186	4540	33
187	4546	33
188	4552	33
189	4558	33
190	4564	33
191	4570	33
192	4576	33
193	4582	33
194	4588	33
195	4594	33
196	4600	33
197	4606	33
198	4612	33
199	4618	33
200	4624	33
201	4630	33
202	4636	33
203	4642	33
204	4648	33
205	4654	33
206	4660	33
207	4666	33
208	4672	33
209	4678	33
210	4684	33
211	4690	33
212	4696	33
213	4702	33
214	4708	33
215	4714	33
216	4720	33
217	4726	33
218	4732	33
219	4738	33
220	4744	33
221	4750	33
222	4756	33
223	4762	33
224	4768	33
225	4774	33
226	4780	33
227	4786	33
228	4792	33
229	4798	33
230	4804	33
231	4810	33
232	4816	33
233	4822	33
234	4828	33
235	4834	33
236	4840	33
237	4846	33
238	4852	33
239	4858	33
240	4864	33
241	4870	33
242	4876	33
243	4882	33
244	4888	33
245	4894	33
246	4900	33
247	4906	33
248	4912	33
249	4918	33
250	4924	33
251	4930	33
252	4936	33
253	4942	33
254	4948	33
255	4954	33
256	4960	33
257	4966	33
258	4972	33
259	4978	33
260	4984	33
261	4990	33
262	4996	33
263	5002	33
264	5008	33
265	5014	33
266	5020	33
267	5026	33
268	5032	33
269	5038	33
270	5044	33
271	5050	33
272	5056	33
273	5062	33
274	5068	33
275	5074	33
276	5080	33
277	5086	33
278	5092	33
279	5098	33
280	5104	33
281	5110	33
282	5116	33
283	5122	33
284	5128	33
285	5134	33
286	5140	33
287	5146	33
288	5152	33
289	5158	33
290	5164	33
291	5170	33
292	5176	33
293	5182	33
294	5188	33
295	5194	33
296	5200	33
297	5206	33
298	5212	33
299	5218	33
300	5224	33
301	5230	33
302	5236	33
303	5242	33
304	5248	33
305	5254	33
306	5260	33
307	5266	33
308	5272	33
309	5278	33
310	5284	33
311	5290	33
312	5296	33
313	5302	33
314	5308	33
315	5314	33
316	5320	33
317	5326	33
318	5332	33
319	5338	33
320	5344	33
321	5350	33
322	5356	33
323	5362	33
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify4.0s (18.1%)

Algorithm

1×	egg-herbie

Rules

24446×	`rational.json-simplify-41`
2306×	`rational.json-simplify-1`
1296×	`rational.json-simplify-35`
2×	`rational.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	18	33
2	26	33
3	36	33
4	54	33
5	100	33
6	230	33
7	622	33
8	789	33
9	795	33
10	801	33
11	807	33
12	813	33
13	819	33
14	825	33
15	831	33
16	837	33
17	843	33
18	849	33
19	855	33
20	861	33
21	867	33
22	873	33
23	2771	33
24	2777	33
25	2783	33
26	2789	33
27	2795	33
28	2801	33
29	3598	33
30	3604	33
31	3610	33
32	3616	33
33	3622	33
34	3628	33
35	3634	33
36	3640	33
37	3646	33
38	3652	33
39	3658	33
40	3664	33
41	3670	33
42	3676	33
43	3682	33
44	3688	33
45	3694	33
46	3700	33
47	3706	33
48	3712	33
49	3718	33
50	3724	33
51	3730	33
52	3736	33
53	3742	33
54	3748	33
55	3754	33
56	3760	33
57	3766	33
58	3772	33
59	3778	33
60	3784	33
61	3790	33
62	3796	33
63	3802	33
64	3808	33
65	3814	33
66	3820	33
67	3826	33
68	3832	33
69	3838	33
70	3844	33
71	3850	33
72	3856	33
73	3862	33
74	3868	33
75	3874	33
76	3880	33
77	3886	33
78	3892	33
79	3898	33
80	3904	33
81	3910	33
82	3916	33
83	3922	33
84	3928	33
85	3934	33
86	3940	33
87	3946	33
88	3952	33
89	3958	33
90	3964	33
91	3970	33
92	3976	33
93	3982	33
94	3988	33
95	3994	33
96	4000	33
97	4006	33
98	4012	33
99	4018	33
100	4024	33
101	4030	33
102	4036	33
103	4042	33
104	4048	33
105	4054	33
106	4060	33
107	4066	33
108	4072	33
109	4078	33
110	4084	33
111	4090	33
112	4096	33
113	4102	33
114	4108	33
115	4114	33
116	4120	33
117	4126	33
118	4132	33
119	4138	33
120	4144	33
121	4150	33
122	4156	33
123	4162	33
124	4168	33
125	4174	33
126	4180	33
127	4186	33
128	4192	33
129	4198	33
130	4204	33
131	4210	33
132	4216	33
133	4222	33
134	4228	33
135	4234	33
136	4240	33
137	4246	33
138	4252	33
139	4258	33
140	4264	33
141	4270	33
142	4276	33
143	4282	33
144	4288	33
145	4294	33
146	4300	33
147	4306	33
148	4312	33
149	4318	33
150	4324	33
151	4330	33
152	4336	33
153	4342	33
154	4348	33
155	4354	33
156	4360	33
157	4366	33
158	4372	33
159	4378	33
160	4384	33
161	4390	33
162	4396	33
163	4402	33
164	4408	33
165	4414	33
166	4420	33
167	4426	33
168	4432	33
169	4438	33
170	4444	33
171	4450	33
172	4456	33
173	4462	33
174	4468	33
175	4474	33
176	4480	33
177	4486	33
178	4492	33
179	4498	33
180	4504	33
181	4510	33
182	4516	33
183	4522	33
184	4528	33
185	4534	33
186	4540	33
187	4546	33
188	4552	33
189	4558	33
190	4564	33
191	4570	33
192	4576	33
193	4582	33
194	4588	33
195	4594	33
196	4600	33
197	4606	33
198	4612	33
199	4618	33
200	4624	33
201	4630	33
202	4636	33
203	4642	33
204	4648	33
205	4654	33
206	4660	33
207	4666	33
208	4672	33
209	4678	33
210	4684	33
211	4690	33
212	4696	33
213	4702	33
214	4708	33
215	4714	33
216	4720	33
217	4726	33
218	4732	33
219	4738	33
220	4744	33
221	4750	33
222	4756	33
223	4762	33
224	4768	33
225	4774	33
226	4780	33
227	4786	33
228	4792	33
229	4798	33
230	4804	33
231	4810	33
232	4816	33
233	4822	33
234	4828	33
235	4834	33
236	4840	33
237	4846	33
238	4852	33
239	4858	33
240	4864	33
241	4870	33
242	4876	33
243	4882	33
244	4888	33
245	4894	33
246	4900	33
247	4906	33
248	4912	33
249	4918	33
250	4924	33
251	4930	33
252	4936	33
253	4942	33
254	4948	33
255	4954	33
256	4960	33
257	4966	33
258	4972	33
259	4978	33
260	4984	33
261	4990	33
262	4996	33
263	5002	33
264	5008	33
265	5014	33
266	5020	33
267	5026	33
268	5032	33
269	5038	33
270	5044	33
271	5050	33
272	5056	33
273	5062	33
274	5068	33
275	5074	33
276	5080	33
277	5086	33
278	5092	33
279	5098	33
280	5104	33
281	5110	33
282	5116	33
283	5122	33
284	5128	33
285	5134	33
286	5140	33
287	5146	33
288	5152	33
289	5158	33
290	5164	33
291	5170	33
292	5176	33
293	5182	33
294	5188	33
295	5194	33
296	5200	33
297	5206	33
298	5212	33
299	5218	33
300	5224	33
301	5230	33
302	5236	33
303	5242	33
304	5248	33
305	5254	33
306	5260	33
307	5266	33
308	5272	33
309	5278	33
310	5284	33
311	5290	33
312	5296	33
313	5302	33
314	5308	33
315	5314	33
316	5320	33
317	5326	33
318	5332	33
319	5338	33
320	5344	33
321	5350	33
322	5356	33
323	5362	33

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 23 to 18 computations (21.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

21.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.1b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.2b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.3b	(/.f64 1 (sqrt.f64 x))
✓	2.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series5.0ms (0%)

Counts

4 → 8

Calls

12 calls:

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

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`rational.json-1`
1594×	`rational.json-2`
1594×	`rational.json-4`
1594×	`rational.json-3`
1074×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	72
1	83	72
2	192	72
3	406	72
4	881	72
5	2525	72
6	6764	72

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

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

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

simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1926×	`rational.json-simplify-35`
1066×	`rational.json-simplify-2`
872×	`rational.json-simplify-39`
826×	`rational.json-simplify-41`
786×	`rational.json-simplify-48`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	231	2808
1	495	2680
2	1780	2680
3	3635	2680
4	6179	2680

Stop Event

1×	node limit

Counts

132 → 155

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 0)
(+.f64 0 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 x)))
(+.f64 (+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))) -1)
(+.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2) (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2))
(*.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2))
(*.f64 2 (-.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 (+.f64 1 x)))))
(*.f64 -1 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1/2)
(*.f64 4 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4))
(*.f64 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))) -1)
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 1/2 (-.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 2 (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4))
(*.f64 1/4 (-.f64 (/.f64 4 (sqrt.f64 x)) (/.f64 4 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 2)
(/.f64 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))) -1)
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 8) 8)
(/.f64 (*.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))) -2)
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))) (neg.f64 (.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))))) 4)
(pow.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(neg.f64 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))
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(-.f64 (/.f64 1 (sqrt.f64 x)) 0)
(*.f64 1 (/.f64 1 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (.f64 x x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 2 (/.f64 1/2 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) 2) (/.f64 1/2 (sqrt.f64 (*.f64 x x))))
(*.f64 4 (/.f64 (/.f64 1/2 (sqrt.f64 x)) 2))
(*.f64 (/.f64 2 (sqrt.f64 x)) 1/2)
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(*.f64 1/2 (/.f64 2 (sqrt.f64 x)))
(*.f64 (/.f64 1/2 (sqrt.f64 x)) 2)
(.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x))
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(*.f64 1/4 (/.f64 4 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) 1/2) (/.f64 2 (sqrt.f64 (*.f64 x x))))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 2))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 x)) 2) 4)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 1)
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(*.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))
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(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
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(*.f64 4 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
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(*.f64 1/2 (/.f64 2 (sqrt.f64 (+.f64 1 x))))
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(*.f64 1/4 (/.f64 4 (sqrt.f64 (+.f64 1 x))))
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(.f64 (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) 2))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
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(*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 1 x)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) 1/4)
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -1)
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 8) 1/8)
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 x)) 2))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 1 x)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) 2)
(.f64 1/8 (.f64 (sqrt.f64 (+.f64 1 x)) 8))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 4) 4)
(/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 4) 4)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -1)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) -2) (.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 8 (/.f64 2 (/.f64 1 (/.f64 4 (sqrt.f64 (+.f64 1 x))))))
(/.f64 -2 (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) -2) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 8) 8)
(/.f64 1/2 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) -2) -2)
(/.f64 16 (/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) 4) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) 4) 16)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 4) -4)
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(/.f64 1/4 (/.f64 1/2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 1/2) 1/2)
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(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
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Outputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 1 (*.f64 -1/2 x))
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
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(+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 1 (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 1 (*.f64 x 1/2))
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(+.f64 (.f64 x 1/2) (+.f64 1 (.f64 (pow.f64 x 2) -1/8)))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/8) (.f64 x 1/2)))
(+.f64 1 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) -1/8)))
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(+.f64 1 (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) 1/16)) (*.f64 (pow.f64 x 2) -1/8)))
(+.f64 (.f64 x 1/2) (+.f64 1 (+.f64 (.f64 (pow.f64 x 3) 1/16) (*.f64 (pow.f64 x 2) -1/8))))
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(*.f64 2 (/.f64 1/2 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) 2) (/.f64 1/2 (sqrt.f64 (*.f64 x x))))
(.f64 (.f64 2 (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 (*.f64 x x))))
(.f64 2 (.f64 (/.f64 1/2 (sqrt.f64 (*.f64 x x))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (/.f64 1/2 (sqrt.f64 (*.f64 x x)))))
(*.f64 4 (/.f64 (/.f64 1/2 (sqrt.f64 x)) 2))
(*.f64 4 (/.f64 1/4 (sqrt.f64 x)))
(*.f64 (/.f64 2 (sqrt.f64 x)) 1/2)
(*.f64 1/2 (/.f64 2 (sqrt.f64 x)))
(*.f64 (/.f64 4 (sqrt.f64 x)) 1/4)
(*.f64 1/4 (/.f64 4 (sqrt.f64 x)))
(*.f64 1/2 (/.f64 2 (sqrt.f64 x)))
(*.f64 (/.f64 1/2 (sqrt.f64 x)) 2)
(*.f64 2 (/.f64 1/2 (sqrt.f64 x)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (.f64 x x))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 1/2))
(.f64 (sqrt.f64 x) (.f64 1/2 (/.f64 2 (sqrt.f64 (*.f64 x x)))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 x x))) (*.f64 1/2 (sqrt.f64 x)))
(.f64 1/2 (.f64 (sqrt.f64 x) (/.f64 2 (sqrt.f64 (*.f64 x x)))))
(*.f64 1/4 (/.f64 4 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) 1/2) (/.f64 2 (sqrt.f64 (*.f64 x x))))
(.f64 (sqrt.f64 x) (.f64 1/2 (/.f64 2 (sqrt.f64 (*.f64 x x)))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 x x))) (*.f64 1/2 (sqrt.f64 x)))
(.f64 1/2 (.f64 (sqrt.f64 x) (/.f64 2 (sqrt.f64 (*.f64 x x)))))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 2))
(.f64 (.f64 2 (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 (*.f64 x x))))
(.f64 2 (.f64 (/.f64 1/2 (sqrt.f64 (*.f64 x x))) (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (/.f64 1/2 (sqrt.f64 (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 x)) 2) 4)
(*.f64 4 (/.f64 1/4 (sqrt.f64 x)))
(pow.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 1 (sqrt.f64 x))
(neg.f64 (/.f64 -1 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(+.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 0)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 0 (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 0)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 2 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) (/.f64 1/2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 4 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(*.f64 4 (/.f64 1/4 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 1 x))) 1/2)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 4 (sqrt.f64 (+.f64 1 x))) 1/4)
(*.f64 1/4 (/.f64 4 (sqrt.f64 (+.f64 1 x))))
(*.f64 1/2 (/.f64 2 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) 1/2))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 1/4 (/.f64 4 (sqrt.f64 (+.f64 1 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) (/.f64 2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))) 2)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 4) 4)
(*.f64 4 (/.f64 1/4 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) 2))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(+.f64 0 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(+.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (+.f64 1 x))
(+.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) (.f64 (sqrt.f64 (+.f64 1 x)) 1/2))
(sqrt.f64 (+.f64 1 x))
(-.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 1 x))
(.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2))
(sqrt.f64 (+.f64 1 x))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) 1/2)
(sqrt.f64 (+.f64 1 x))
(*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 1 x)) 4))
(sqrt.f64 (+.f64 1 x))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) 1/4)
(sqrt.f64 (+.f64 1 x))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -1)
(sqrt.f64 (+.f64 1 x))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 8) 1/8)
(sqrt.f64 (+.f64 1 x))
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 x)) 2))
(sqrt.f64 (+.f64 1 x))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 1 x)) 4))
(sqrt.f64 (+.f64 1 x))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) 2)
(sqrt.f64 (+.f64 1 x))
(.f64 1/8 (.f64 (sqrt.f64 (+.f64 1 x)) 8))
(sqrt.f64 (+.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 4) 4)
(sqrt.f64 (+.f64 1 x))
(/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 1 x))
(/.f64 2 (/.f64 2 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 2) 2)
(sqrt.f64 (+.f64 1 x))
(/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (+.f64 1 x))
(/.f64 4 (/.f64 4 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 4) 4)
(sqrt.f64 (+.f64 1 x))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -1)
(sqrt.f64 (+.f64 1 x))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) -2) (.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(sqrt.f64 (+.f64 1 x))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(/.f64 8 (/.f64 2 (/.f64 1 (/.f64 4 (sqrt.f64 (+.f64 1 x))))))
(sqrt.f64 (+.f64 1 x))
(/.f64 -2 (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) -2) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (+.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 8) 8)
(sqrt.f64 (+.f64 1 x))
(/.f64 1/2 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) -2) -2)
(sqrt.f64 (+.f64 1 x))
(/.f64 16 (/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) 4) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (+.f64 1 x))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) 4) 16)
(sqrt.f64 (+.f64 1 x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) 4) -4)
(sqrt.f64 (+.f64 1 x))
(/.f64 (.f64 2 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) 2))
(sqrt.f64 (+.f64 1 x))
(/.f64 1/4 (/.f64 1/2 (*.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(sqrt.f64 (+.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 1/2) 1/2)
(sqrt.f64 (+.f64 1 x))
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) 4) 4)) 32)
(sqrt.f64 (+.f64 1 x))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 1 x))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 1 x))

eval132.0ms (0.6%)

Compiler: Compiled 2456 to 1886 computations (23.2% saved)

prune275.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	147	8	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	9	156

Error

20.8b

Counts

156 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	29.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
▶	29.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))))
▶	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	21.1b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	31.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
▶	29.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x))))
▶	32.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
	44.9b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	21.5b	(+.f64 (+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))) -1)

Compiler

Compiled 272 to 224 computations (17.6% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (sqrt.f64 (+.f64 1 x)))
	0.3b	(/.f64 1 (sqrt.f64 x))
✓	2.2b	(+.f64 (+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))) -1)
✓	2.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))

Compiler

Compiled 62 to 46 computations (25.8% saved)

series9.0ms (0%)

Counts

3 → 4

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(/.f64 1 (sqrt.f64 (+.f64 1 x)))
0.0ms	x	@	inf	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
0.0ms	x	@	inf	(+.f64 (+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))) -1)
0.0ms	x	@	-inf	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
0.0ms	x	@	-inf	(+.f64 (+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))) -1)

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`rational.json-1`
1762×	`rational.json-2`
1188×	`rational.json-simplify-35`
856×	`rational.json-simplify-61`
844×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	83
1	107	83
2	232	83
3	503	83
4	1173	83
5	3055	83
6	7194	83

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

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

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simplify200.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1148×	`rational.json-simplify-2`
956×	`rational.json-simplify-35`
904×	`rational.json-simplify-1`
804×	`rational.json-simplify-51`
680×	`rational.json-simplify-45`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	166	4642
1	325	3658
2	876	3658
3	2675	3658
4	4861	3658
5	7186	3658

Stop Event

1×	node limit

Counts

114 → 99

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
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(+.f64 -1 (+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
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(+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))) 1)
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(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 1/2 (-.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 2 (sqrt.f64 (+.f64 1 x)))))
(.f64 1/4 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4))
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(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 8) 8)
(/.f64 (*.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))) -2)
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(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) 16)
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(-.f64 (+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 2)
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) -1) (+.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) -1))
(-.f64 (+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) -2) -2)
(-.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2) (/.f64 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))) 2))
(*.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 -1 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))
(.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2))
(*.f64 2 (-.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 (+.f64 1 x)))))
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(*.f64 4 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4))
(*.f64 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))) -1)
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(*.f64 1/2 (-.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 2 (sqrt.f64 (+.f64 1 x)))))
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(*.f64 1/4 (-.f64 (/.f64 4 (sqrt.f64 x)) (/.f64 4 (sqrt.f64 (+.f64 1 x)))))
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(*.f64 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
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(/.f64 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))) -1)
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 8) 8)
(/.f64 (*.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))) -2)
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(/.f64 (neg.f64 (*.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))) 2)
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(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))) (neg.f64 (.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))))) 4)
(pow.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
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(+.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 0)
(*.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(*.f64 2 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) (/.f64 1/2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 4 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 1 x))) 1/2)
(*.f64 (/.f64 4 (sqrt.f64 (+.f64 1 x))) 1/4)
(*.f64 1/2 (/.f64 2 (sqrt.f64 (+.f64 1 x))))
(*.f64 1/4 (/.f64 4 (sqrt.f64 (+.f64 1 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) (/.f64 2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
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(*.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))) 2)
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(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 4) 4)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))

Outputs
1
(+.f64 (*.f64 -1/2 x) 1)
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(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 -5/16 (pow.f64 x 3))) (*.f64 -1/2 x)))
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(*.f64 2 (-.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1/2)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 4 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))) -1)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 1/4)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(.f64 1/2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 1/2 (-.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 2 (sqrt.f64 (+.f64 1 x)))))
(.f64 1/4 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 1/4 (-.f64 (/.f64 4 (sqrt.f64 x)) (/.f64 4 (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1/2) 2)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
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(/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 2)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))) -1)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4) 4)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 8) 8)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))) -2)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))) 4) -4)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) 16)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (neg.f64 (*.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))) 2)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 8)) (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 8))) 32)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))) (neg.f64 (.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))))) 4)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(neg.f64 (-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 0)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 0 (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(+.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 0)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 2 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) (/.f64 1/2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 (.f64 2 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1/2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1/2 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))))))
(*.f64 4 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 4))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 1 x))) 1/2)
(*.f64 1/2 (/.f64 2 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 4 (sqrt.f64 (+.f64 1 x))) 1/4)
(*.f64 1/4 (/.f64 4 (sqrt.f64 (+.f64 1 x))))
(*.f64 1/2 (/.f64 2 (sqrt.f64 (+.f64 1 x))))
(*.f64 1/4 (/.f64 4 (sqrt.f64 (+.f64 1 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) (/.f64 2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 1/2 (/.f64 2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 1/2 (/.f64 2 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (.f64 (-.f64 -1 x) (-.f64 -1 x)))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) 1/2))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) (/.f64 2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 1/2 (/.f64 2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 1/2 (/.f64 2 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))))))
(*.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))) 2)
(*.f64 2 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) 2))
(.f64 (.f64 2 (sqrt.f64 (+.f64 1 x))) (/.f64 1/2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1/2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1/2 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x))))))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 4) 4)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
	0.3b	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts

1 → 2

Calls

3 calls:

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

rewrite502.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`rational.json-1`
1278×	`rational.json-2`
1278×	`rational.json-4`
1278×	`rational.json-3`
1274×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	64	17
2	152	17
3	295	17
4	613	17
5	1632	17
6	4822	17

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)

Outputs

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

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1286×	`rational.json-simplify-53`
1222×	`rational.json-simplify-44`
1062×	`rational.json-simplify-47`
1018×	`rational.json-simplify-1`
952×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	930
1	298	866
2	802	866
3	3897	866
4	5848	866

Stop Event

1×	node limit

Counts

50 → 49

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 (*.f64 1/2 x) 1))
✓	0.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
	0.3b	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 37 to 27 computations (27% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1774×	`rational.json-1`
1774×	`rational.json-2`
1084×	`rational.json-simplify-35`
896×	`rational.json-simplify-61`
880×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	90	54
2	204	54
3	443	42
4	946	42
5	2807	42
6	7311	42

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify99.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1416×	`rational.json-simplify-57`
1316×	`rational.json-simplify-35`
1150×	`rational.json-simplify-2`
764×	`rational.json-simplify-61`
758×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	2143
1	273	2015
2	589	2015
3	1629	2015
4	3200	2015
5	5598	2015

Stop Event

1×	node limit

Counts

69 → 83

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
	0.3b	(/.f64 1 (sqrt.f64 x))
✓	15.2b	(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))
✓	16.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) (.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x))))

Compiler

Compiled 76 to 56 computations (26.3% saved)

series3.0ms (0%)

Counts

3 → 16

Calls

9 calls:

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

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`rational.json-1`
1584×	`rational.json-2`
1584×	`rational.json-4`
1584×	`rational.json-3`
1572×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	129
1	105	117
2	238	117
3	549	117
4	1823	117
5	5474	117

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs

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

(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) 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simplify119.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1904×	`rational.json-simplify-35`
1180×	`rational.json-simplify-51`
1156×	`rational.json-simplify-2`
762×	`rational.json-simplify-61`
748×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	3359
1	425	3359
2	1346	3359
3	3441	3359
4	6890	3359

Stop Event

1×	node limit

Counts

97 → 96

Calls

Call 1

Inputs
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))) 0)
(+.f64 0 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(+.f64 -1 (-.f64 1 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 1 (sqrt.f64 x)))))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))) (/.f64 1 (sqrt.f64 x)))
(+.f64 (-.f64 1 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 1 (sqrt.f64 x)))) -1)
(.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) 1)
(.f64 -1 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 1 (sqrt.f64 x))))
(.f64 2 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) 2))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))) 2) 1/2)
(.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 1 (sqrt.f64 x))) -1)
(.f64 1/2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))) 2))
(.f64 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) 2) 2)
(/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))) 1)
(/.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) 2) 2)
(/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 1 (sqrt.f64 x))) -1)
(/.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) 4) 4)
(/.f64 (.f64 2 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 1 (sqrt.f64 x)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) 4)) (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) 4))) 16)
(pow.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))) 1)
(neg.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 1 (sqrt.f64 x))))
(+.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 0)
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(-.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 1 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))
(.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(.f64 2 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 2) 1/2)
(.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 4) 1/4)
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 4))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 2) 2)
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 2) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 4) 4)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) -1)
(/.f64 (.f64 2 (neg.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) -2)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 4))) 16)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) 0)
(+.f64 0 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 2)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) 0)
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) 1)
(/.f64 -1 (-.f64 0 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
(/.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 2 (sqrt.f64 (+.f64 1 x)))))
(/.f64 4 (.f64 2 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 2 (sqrt.f64 (+.f64 1 x))))))
(/.f64 4 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 4) (sqrt.f64 (+.f64 1 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) 2)
(/.f64 -2 (-.f64 0 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 2 (sqrt.f64 (+.f64 1 x))))))
(/.f64 8 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 4) (sqrt.f64 (+.f64 1 x))) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 4) (sqrt.f64 (+.f64 1 x)))))
(/.f64 8 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 2 (sqrt.f64 (+.f64 1 x))))) (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 2 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 4))
(/.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) 4) 4)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 x)) 4)) (.f64 2 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 4)))
(/.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) 4)) 8)
(/.f64 (.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (.f64 2 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) 4)
(/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 2)) 1/2)
(/.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 2)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (+.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) (neg.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2))) (.f64 2 (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 2))))
(/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) 4)) (.f64 2 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (.f64 2 (.f64 2 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4)) (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2))) (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2))) (-.f64 0 (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 2))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (.f64 2 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) 1)

Outputs
1
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
x
(+.f64 1 x)
(+.f64 1 x)
(+.f64 1 x)
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 1 (*.f64 x -1/2))
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 x -1/2)))
(+.f64 (.f64 x -1/2) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 -5/16 (pow.f64 x 3))) (*.f64 x -1/2)))
(+.f64 1 (+.f64 (.f64 x -1/2) (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (.f64 x -1/2) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))) 0)
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 0 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
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(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
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(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 -1 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 1 (sqrt.f64 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
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(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))) 2) 1/2)
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
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(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 1/2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))) 2))
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(/.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) 2) 2)
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(/.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) 4) 4)
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(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))) 4)) 8)
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
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(.f64 1 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))
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(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 2) 2)
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(/.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 2)))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (+.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2)) (neg.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2))) (.f64 2 (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 2))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))))) 8)
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) 4)) (.f64 2 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) 4))) 16)
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (+.f64 (.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (.f64 2 (.f64 2 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 4)) (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 4)))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2))) (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2))) (-.f64 0 (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) 2))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (-.f64 0 (.f64 2 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) 1)
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))

localize156.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
	0.3b	(/.f64 1 (sqrt.f64 x))
✓	12.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))))
	15.2b	(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))

Compiler

Compiled 108 to 83 computations (23.1% saved)

series1.0ms (0%)

Counts

2 → 4

Calls

6 calls:

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

rewrite189.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`rational.json-simplify-35`
1140×	`exponential.json-3`
1140×	`rational.json-1`
1140×	`rational.json-2`
1140×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	114
1	135	94
2	353	94
3	973	94
4	3429	94

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs

(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))))

(/.f64 1 (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))

Outputs

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

simplify260.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1836×	`rational.json-simplify-35`
1048×	`rational.json-simplify-2`
800×	`rational.json-simplify-1`
576×	`rational.json-simplify-19`
498×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	4083
1	320	3627
2	697	2059
3	2003	2059
4	3983	2059
5	6904	2059

Stop Event

1×	node limit

Counts

77 → 98

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(+.f64 -1 (-.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) 1)))
(+.f64 -1 (+.f64 (-.f64 1 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) (/.f64 1 (sqrt.f64 x))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) (/.f64 1 (sqrt.f64 x)))
(+.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) (-.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 x)))))
(+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) 0)
(+.f64 0 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(+.f64 (-.f64 1 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) (-.f64 -1 (neg.f64 (/.f64 1 (sqrt.f64 x)))))
(+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) 1)) -1)
(+.f64 (-.f64 -1 (neg.f64 (/.f64 1 (sqrt.f64 x)))) (-.f64 1 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))))
(.f64 -1 (-.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (/.f64 1 (sqrt.f64 x))))
(.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) 1)
(.f64 2 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) 2))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) 2) 1/2)
(.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (/.f64 1 (sqrt.f64 x))) -1)
(.f64 1/2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) 2))
(.f64 1/2 (+.f64 (.f64 (/.f64 1 (sqrt.f64 x)) 2) (.f64 (sqrt.f64 (-.f64 x -1)) (/.f64 -2 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))))))
(.f64 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) 2) 2)
(/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) 1)
(/.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) 2) 2)
(/.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) (/.f64 1 (sqrt.f64 x))) -1)
(/.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) 4)) 8)
(/.f64 (.f64 2 (-.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (/.f64 1 (sqrt.f64 x)))) -2)
(/.f64 (+.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) (neg.f64 (sqrt.f64 (-.f64 x -1))))) (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))) (neg.f64 (sqrt.f64 (-.f64 x -1))))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) (neg.f64 (sqrt.f64 (-.f64 x -1)))) (sqrt.f64 x)) (.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))) (neg.f64 (sqrt.f64 (-.f64 x -1)))) (sqrt.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) 4)) (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) 4))) 16)
(pow.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) 1)
(neg.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) (/.f64 1 (sqrt.f64 x))))
(+.f64 -1 (-.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) -1))
(+.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) 0)
(+.f64 0 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))))
(+.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) -1) -1)
(-.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) 0)
(-.f64 0 (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) -1) 1)
(.f64 1 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))))
(.f64 -1 (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))))
(.f64 (sqrt.f64 (-.f64 x -1)) (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))))
(.f64 (neg.f64 (sqrt.f64 (-.f64 x -1))) (/.f64 -1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) -1)
(.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) 1)
(.f64 (.f64 (sqrt.f64 (-.f64 x -1)) -2) (neg.f64 (/.f64 1/2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(.f64 (.f64 (sqrt.f64 (-.f64 x -1)) -2) (.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) -1/2))
(.f64 2 (/.f64 (sqrt.f64 (-.f64 x -1)) (.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))) 2)))
(.f64 2 (/.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) -2))
(.f64 2 (/.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) 2))
(.f64 -2 (/.f64 (sqrt.f64 (-.f64 x -1)) (.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))) -2)))
(.f64 (.f64 (sqrt.f64 (-.f64 x -1)) (/.f64 -2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) -1/2)
(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) -4) -1/4)
(.f64 (.f64 (sqrt.f64 (-.f64 x -1)) -4) (/.f64 1 (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) -4)))
(.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 2) (/.f64 1/2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (sqrt.f64 (-.f64 x -1)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 x -1)))))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) (/.f64 (neg.f64 (sqrt.f64 (-.f64 x -1))) -2))
(.f64 (.f64 (sqrt.f64 (-.f64 x -1)) (/.f64 2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) 1/2)
(.f64 1/2 (.f64 (sqrt.f64 (-.f64 x -1)) (/.f64 2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (neg.f64 (sqrt.f64 (-.f64 x -1))))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (*.f64 (sqrt.f64 (-.f64 x -1)) 2))
(.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) (*.f64 (sqrt.f64 (-.f64 x -1)) -2))
(.f64 -1/2 (.f64 (sqrt.f64 (-.f64 x -1)) (/.f64 -2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) -1/2) (.f64 (sqrt.f64 (-.f64 x -1)) -2))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))) -2)) -2)
(.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))) 2)) 2)
(.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 x -1))) -2) (.f64 2 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) -2) 2)
(.f64 -1/4 (.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) -4))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) -4)) (.f64 (sqrt.f64 (-.f64 x -1)) -4))
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) 2) 2)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) 1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))

Outputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 1 (*.f64 -1/2 x))
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 -1/2 x)))
(+.f64 1 (+.f64 (.f64 -1/2 x) (.f64 3/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 -5/16 (pow.f64 x 3))) (*.f64 -1/2 x)))
(+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 (.f64 -5/16 (pow.f64 x 3)) (*.f64 -1/2 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) 1)))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (+.f64 (-.f64 1 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) (/.f64 1 (sqrt.f64 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) (/.f64 1 (sqrt.f64 x)))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) (-.f64 0 (neg.f64 (/.f64 1 (sqrt.f64 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) 0)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 0 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
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(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (sqrt.f64 (-.f64 x -1)))
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) (/.f64 (neg.f64 (sqrt.f64 (-.f64 x -1))) -2))
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (.f64 (sqrt.f64 (-.f64 x -1)) (/.f64 2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))) 1/2)
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (/.f64 2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) (/.f64 2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 1/2 (.f64 (sqrt.f64 (-.f64 x -1)) (/.f64 2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (/.f64 2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 1/2) (/.f64 2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (neg.f64 (sqrt.f64 (-.f64 x -1))))
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (*.f64 (sqrt.f64 (-.f64 x -1)) 2))
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (neg.f64 (/.f64 1/2 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) (*.f64 (sqrt.f64 (-.f64 x -1)) -2))
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 -1/2 (.f64 (sqrt.f64 (-.f64 x -1)) (/.f64 -2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(.f64 -1/2 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -2 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (/.f64 -2 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (*.f64 -1/2 (sqrt.f64 (+.f64 1 x))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) -1/2) (.f64 (sqrt.f64 (-.f64 x -1)) -2))
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))))
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))) -2)) -2)
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))) 2)) 2)
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 x -1))) -2) (.f64 2 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) -2) 2)
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 -1/4 (.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) -4))
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) -4)) (.f64 (sqrt.f64 (-.f64 x -1)) -4))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) -4) (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x))) -4)))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) -4) (/.f64 -1/4 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 -4 (/.f64 -1/4 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (/.f64 -1/4 (sqrt.f64 (.f64 (+.f64 1 x) (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) -4))
(.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) 2) 2)
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) 1)
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))

eval670.0ms (3.1%)

Compiler: Compiled 11507 to 8820 computations (23.4% saved)

prune146.0ms (0.7%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	585	15	600
Fresh	1	2	3
Picked	1	0	1
Done	3	2	5
Total	590	19	609

Error

20.8b

Counts

609 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	30.6b	(/.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) (neg.f64 (sqrt.f64 (-.f64 x -1)))) (sqrt.f64 x)) (.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))) (neg.f64 (sqrt.f64 (-.f64 x -1)))) (sqrt.f64 x)))
	29.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))))
	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 2 (+.f64 x 2)))
	61.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 2 x))
▶	29.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
▶	57.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) x))))
✓	21.1b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	30.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1))
	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (.f64 (/.f64 2 (.f64 (+.f64 x 2) (+.f64 x 2))) (+.f64 x 2)))
	29.8b	(-.f64 (/.f64 1 (sqrt.f64 x)) (.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))))
	26.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
	58.5b	(-.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))))
✓	32.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
	45.5b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
	44.9b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	47.0b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x)) 1)
▶	22.3b	(+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (/.f64 2 (+.f64 x 2)))) -1)
▶	32.2b	(+.f64 -2 (-.f64 1 (/.f64 -1 (sqrt.f64 x))))
	62.8b	-1

Compiler

Compiled 569 to 458 computations (19.5% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 x 2))
	0.3b	(/.f64 1 (sqrt.f64 x))
✓	2.3b	(-.f64 1 (/.f64 2 (+.f64 x 2)))
✓	5.2b	(+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (/.f64 2 (+.f64 x 2)))) -1)

Compiler

Compiled 52 to 39 computations (25% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite119.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`rational.json-1`
1768×	`rational.json-2`
1768×	`rational.json-3`
1230×	`rational.json-simplify-35`
930×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	106	73
2	234	67
3	529	65
4	1171	65
5	2996	65
6	7046	65

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

Outputs

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

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

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

simplify369.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational.json-simplify-35`
1116×	`rational.json-simplify-2`
1004×	`rational.json-simplify-51`
788×	`rational.json-simplify-53`
696×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2940
1	384	2940
2	968	2664
3	3028	2664
4	5566	2664

Stop Event

1×	node limit

Counts

106 → 128

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -2 (-.f64 1 (/.f64 -1 (sqrt.f64 x))))
✓	0.3b	(/.f64 -1 (sqrt.f64 x))

Compiler

Compiled 25 to 17 computations (32% saved)

series2.0ms (0%)

Counts

2 → 2

Calls

6 calls:

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

rewrite112.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`rational.json-1`
1666×	`rational.json-simplify-35`
1172×	`rational.json-simplify-2`
964×	`rational.json-2`
964×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	82	34
2	175	34
3	351	34
4	703	34
5	1796	34
6	4374	34
7	7839	34

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -2 (neg.f64 (+.f64 (/.f64 -1 (sqrt.f64 x)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1)))))

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

976×	`rational.json-simplify-2`
880×	`rational.json-simplify-59`
880×	`rational.json-simplify-1`
750×	`rational.json-simplify-35`
608×	`rational.json-simplify-19`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	109	1387
1	216	1171
2	508	1027
3	1323	1027
4	2539	1027
5	4466	969
6	5841	969
7	7196	939

Stop Event

1×	node limit

Counts

57 → 71

Calls

Call 1

Inputs
-1
-1
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 (/.f64 -1 (sqrt.f64 x)) 0)
(+.f64 0 (/.f64 -1 (sqrt.f64 x)))
(+.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 -1/2 (sqrt.f64 x)))
(+.f64 (-.f64 1 (/.f64 1 (sqrt.f64 x))) -1)
(-.f64 (/.f64 -1 (sqrt.f64 x)) 0)
(-.f64 0 (/.f64 1 (sqrt.f64 x)))
(*.f64 -1 (/.f64 1 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (/.f64 -1 (sqrt.f64 (.f64 x x))))
(*.f64 (/.f64 -1 (sqrt.f64 x)) 1)
(.f64 -2 (/.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (*.f64 x x)))))
(*.f64 1 (/.f64 -1 (sqrt.f64 x)))
(*.f64 2 (/.f64 -1/2 (sqrt.f64 x)))
(.f64 2 (.f64 (/.f64 -1 (sqrt.f64 (.f64 x x))) (.f64 (sqrt.f64 x) 1/2)))
(.f64 2 (.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (.f64 (sqrt.f64 x) -1/2)))
(.f64 4 (/.f64 -1 (.f64 (sqrt.f64 x) 4)))
(*.f64 (/.f64 -2 (sqrt.f64 x)) 1/2)
(.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (.f64 x x))))
(.f64 (.f64 (/.f64 -1 (sqrt.f64 x)) 4) 1/4)
(.f64 (.f64 (sqrt.f64 x) -2) (/.f64 1/2 (sqrt.f64 (*.f64 x x))))
(*.f64 1/2 (/.f64 -2 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) -1)
(*.f64 (/.f64 -1/2 (sqrt.f64 x)) 2)
(.f64 1/4 (.f64 (/.f64 -1 (sqrt.f64 x)) 4))
(.f64 (.f64 (sqrt.f64 x) -1/2) (/.f64 2 (sqrt.f64 (*.f64 x x))))
(.f64 -1/2 (.f64 2 (/.f64 1 (sqrt.f64 x))))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 x))) -1/2)
(.f64 (/.f64 -1 (.f64 (sqrt.f64 x) 4)) 4)
(.f64 (/.f64 -1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (neg.f64 (sqrt.f64 x)))
(.f64 (/.f64 2 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) -1/2))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) -2))
(.f64 (/.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (*.f64 x x)))) -2)
(pow.f64 (/.f64 -1 (sqrt.f64 x)) 1)
(neg.f64 (/.f64 1 (sqrt.f64 x)))
(-.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 0)
(-.f64 (+.f64 -2 (neg.f64 (+.f64 (/.f64 -1 (sqrt.f64 x)) -2))) 1)
(*.f64 1 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1)
(.f64 2 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1/2))
(.f64 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4))
(.f64 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 2))
(.f64 1/4 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4))
(.f64 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1/2) 2)
(*.f64 (/.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4) 4)
(/.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1)
(/.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 2) 2)
(/.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4) 4)
(/.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8)))) 64)
(pow.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1)

Outputs
-1
-1
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(+.f64 (/.f64 -1 (sqrt.f64 x)) 0)
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(+.f64 0 (/.f64 -1 (sqrt.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(+.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 -1/2 (sqrt.f64 x)))
(*.f64 (/.f64 -1/2 (sqrt.f64 x)) 2)
(+.f64 (-.f64 1 (/.f64 1 (sqrt.f64 x))) -1)
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(-.f64 (/.f64 -1 (sqrt.f64 x)) 0)
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(-.f64 0 (/.f64 1 (sqrt.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(*.f64 -1 (/.f64 1 (sqrt.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(.f64 (sqrt.f64 x) (/.f64 -1 (sqrt.f64 (.f64 x x))))
(*.f64 (/.f64 -1 (sqrt.f64 x)) 1)
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(.f64 -2 (/.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (*.f64 x x)))))
(.f64 -2 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x x)) 2)))
(.f64 -2 (/.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 (.f64 x x))))
(*.f64 -2 (/.f64 (/.f64 2 (sqrt.f64 x)) 4))
(*.f64 1 (/.f64 -1 (sqrt.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(*.f64 2 (/.f64 -1/2 (sqrt.f64 x)))
(+.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 -1/2 (sqrt.f64 x)))
(*.f64 (/.f64 -1/2 (sqrt.f64 x)) 2)
(.f64 2 (.f64 (/.f64 -1 (sqrt.f64 (.f64 x x))) (.f64 (sqrt.f64 x) 1/2)))
(.f64 (sqrt.f64 x) (/.f64 -1 (sqrt.f64 (.f64 x x))))
(.f64 2 (.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (.f64 (sqrt.f64 x) -1/2)))
(.f64 2 (.f64 (sqrt.f64 x) (.f64 -1/2 (/.f64 1 (sqrt.f64 (.f64 x x))))))
(.f64 (sqrt.f64 x) (.f64 (.f64 -1/2 (/.f64 1 (sqrt.f64 (.f64 x x)))) 2))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (neg.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (neg.f64 (/.f64 1 (sqrt.f64 (.f64 x x)))))
(neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x))))
(.f64 4 (/.f64 -1 (.f64 (sqrt.f64 x) 4)))
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(*.f64 (/.f64 -2 (sqrt.f64 x)) 1/2)
(*.f64 1/2 (/.f64 -2 (sqrt.f64 x)))
(.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (.f64 x x))))
(.f64 2 (.f64 (sqrt.f64 x) (.f64 -1/2 (/.f64 1 (sqrt.f64 (.f64 x x))))))
(.f64 (sqrt.f64 x) (.f64 (.f64 -1/2 (/.f64 1 (sqrt.f64 (.f64 x x)))) 2))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (neg.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (neg.f64 (/.f64 1 (sqrt.f64 (.f64 x x)))))
(neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x))))
(.f64 (.f64 (/.f64 -1 (sqrt.f64 x)) 4) 1/4)
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) -2) (/.f64 1/2 (sqrt.f64 (*.f64 x x))))
(.f64 -2 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x x)) 2)))
(.f64 -2 (/.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 (.f64 x x))))
(*.f64 -2 (/.f64 (/.f64 2 (sqrt.f64 x)) 4))
(*.f64 1/2 (/.f64 -2 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(*.f64 (/.f64 -1/2 (sqrt.f64 x)) 2)
(+.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 -1/2 (sqrt.f64 x)))
(.f64 1/4 (.f64 (/.f64 -1 (sqrt.f64 x)) 4))
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) -1/2) (/.f64 2 (sqrt.f64 (*.f64 x x))))
(.f64 -1/2 (.f64 (/.f64 2 (sqrt.f64 (*.f64 x x))) (sqrt.f64 x)))
(.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 2 (sqrt.f64 (*.f64 x x)))))
(.f64 -1/2 (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (.f64 x x)) 2)))
(.f64 -1/2 (.f64 2 (/.f64 1 (sqrt.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 x))) -1/2)
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(.f64 (/.f64 -1 (.f64 (sqrt.f64 x) 4)) 4)
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (/.f64 -1 (sqrt.f64 (.f64 x x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (neg.f64 (sqrt.f64 x)))
(.f64 2 (.f64 (sqrt.f64 x) (.f64 -1/2 (/.f64 1 (sqrt.f64 (.f64 x x))))))
(.f64 (sqrt.f64 x) (.f64 (.f64 -1/2 (/.f64 1 (sqrt.f64 (.f64 x x)))) 2))
(.f64 (sqrt.f64 x) (neg.f64 (/.f64 1 (sqrt.f64 (.f64 x x)))))
(neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) -1/2))
(.f64 (.f64 (sqrt.f64 x) -1/2) (/.f64 2 (sqrt.f64 (*.f64 x x))))
(.f64 -1/2 (.f64 (/.f64 2 (sqrt.f64 (*.f64 x x))) (sqrt.f64 x)))
(.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 2 (sqrt.f64 (*.f64 x x)))))
(.f64 -1/2 (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (.f64 x x)) 2)))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) -2))
(.f64 -2 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x x)) 2)))
(.f64 -2 (/.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 (.f64 x x))))
(*.f64 -2 (/.f64 (/.f64 2 (sqrt.f64 x)) 4))
(.f64 (/.f64 (sqrt.f64 x) (.f64 2 (sqrt.f64 (*.f64 x x)))) -2)
(.f64 -2 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (*.f64 x x)) 2)))
(.f64 -2 (/.f64 (/.f64 (sqrt.f64 x) 2) (sqrt.f64 (.f64 x x))))
(*.f64 -2 (/.f64 (/.f64 2 (sqrt.f64 x)) 4))
(pow.f64 (/.f64 -1 (sqrt.f64 x)) 1)
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(neg.f64 (/.f64 1 (sqrt.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (sqrt.f64 x))
(-.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 0)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(-.f64 (+.f64 -2 (neg.f64 (+.f64 (/.f64 -1 (sqrt.f64 x)) -2))) 1)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(*.f64 1 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)))
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(.f64 2 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1/2))
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(.f64 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 2) 1/2)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(*.f64 4 (/.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4))
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(.f64 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4) 1/4)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(.f64 1/2 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 2))
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(.f64 1/4 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4))
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(.f64 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1/2) 2)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4) 4)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(/.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 2) 2)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 4) 4)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8) 8)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8)) 16)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8))) 32)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 8)))) 64)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))
(pow.f64 (+.f64 -2 (-.f64 (/.f64 1 (sqrt.f64 x)) -1)) 1)
(+.f64 -2 (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 x)) -2))
(+.f64 (/.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (/.f64 1 (sqrt.f64 x)))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x)) 1)
✓	0.3b	(.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x))
✓	29.0b	(sqrt.f64 (*.f64 x x))

Compiler

Compiled 38 to 15 computations (60.5% saved)

series2.0ms (0%)

Counts

3 → 14

Calls

9 calls:

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

rewrite191.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`rational.json-1`
1364×	`rational.json-2`
1364×	`rational.json-4`
1364×	`rational.json-3`
1354×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	71
1	84	59
2	192	59
3	434	59
4	1507	59
5	4741	59

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 x x))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x))
(-.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x)) 1)

Outputs

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

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

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

simplify98.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1936×	`rational.json-simplify-35`
1202×	`rational.json-simplify-51`
1196×	`rational.json-simplify-1`
1128×	`rational.json-simplify-2`
872×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	144	1500
1	366	1492
2	1244	1492
3	3421	1492
4	6992	1492

Stop Event

1×	node limit

Counts

90 → 82

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) x)))
✓	0.3b	(/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) x))
	0.3b	(/.f64 1 (sqrt.f64 x))
✓	12.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) x))))

Compiler

Compiled 65 to 48 computations (26.2% saved)

series4.0ms (0%)

Counts

3 → 9

Calls

9 calls:

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

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1526×	`rational.json-1`
1526×	`rational.json-2`
1526×	`rational.json-4`
1526×	`rational.json-3`
1500×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	97
1	122	67
2	324	67
3	861	67
4	2655	67
5	5880	67

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

Inputs

(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) x))))

(/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) x))

(/.f64 1 (/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) x)))

Outputs

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

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

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

simplify475.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1690×	`rational.json-simplify-35`
1310×	`rational.json-simplify-39`
1110×	`rational.json-simplify-2`
934×	`rational.json-simplify-41`
884×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	233	3461
1	465	3449
2	1057	2841
3	3191	2725
4	7002	2725

Stop Event

1×	node limit

Counts

125 → 151

Calls

Call 1

Inputs
(/.f64 -1 x)
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -5/16 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)))
(+.f64 -1 (+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x))))
(+.f64 -1 (+.f64 (-.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x)) (/.f64 1 (sqrt.f64 x))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)) (/.f64 1 (sqrt.f64 x)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)) (neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 x)))))
(+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 0)
(+.f64 0 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)))
(+.f64 (+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x))) -1)
(+.f64 (-.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x)) (-.f64 -1 (neg.f64 (/.f64 1 (sqrt.f64 x)))))
(+.f64 (-.f64 -1 (neg.f64 (/.f64 1 (sqrt.f64 x)))) (-.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x)))
(*.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)))
(*.f64 -1 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 (sqrt.f64 x))))
(*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 1)
(*.f64 2 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 2))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 2) 1/2)
(*.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 (sqrt.f64 x))) -1)
(.f64 1/2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 2))
(.f64 1/2 (+.f64 (.f64 (/.f64 1 (sqrt.f64 x)) 2) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -2 x))))
(*.f64 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 2) 2)
(/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 1)
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 2) 2)
(/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 (sqrt.f64 x))) -1)
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 4)) 8)
(/.f64 (*.f64 2 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 (sqrt.f64 x)))) -2)
(/.f64 (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x)))) (*.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 4)) (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 4))) 16)
(pow.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 1)
(neg.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 (sqrt.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 0)
(+.f64 0 (/.f64 x (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 x))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 x))))
(+.f64 (/.f64 x (.f64 (sqrt.f64 (+.f64 1 x)) 2)) (/.f64 x (.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(-.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 0)
(-.f64 0 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x))))
(*.f64 x (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 -1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 1)
(.f64 2 (/.f64 x (.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(*.f64 2 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 2))
(.f64 2 (.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))) x))
(*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 1 x))) 1/2)
(*.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 (+.f64 1 x))))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) 4)))
(.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 4) 1/4)
(*.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(.f64 (.f64 x -2) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) -2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))) -1)
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x 2))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x))
(*.f64 1/2 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))) (+.f64 x x))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2) (+.f64 x x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1 x)) -2)) (*.f64 x -2))
(.f64 (/.f64 x (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 2)
(.f64 1/4 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 4))
(.f64 (/.f64 x 2) (.f64 2 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 2) 2)
(.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1 x)) 4)) (*.f64 x 4))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 1)
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 0)
(+.f64 0 (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(+.f64 -2 (-.f64 1 (-.f64 -1 (/.f64 (sqrt.f64 (+.f64 1 x)) x))))
(+.f64 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x)) -1)
(+.f64 (/.f64 1 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 x x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 x x)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 0)
(-.f64 0 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)))
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 1)
(*.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(*.f64 -1 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 x))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)) -1)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 1)
(*.f64 2 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 x x)))
(*.f64 2 (/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)) -2))
(*.f64 2 (/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 2))
(.f64 2 (.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(.f64 2 (.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1 x))))
(.f64 -2 (/.f64 (sqrt.f64 (+.f64 1 x)) (.f64 x -2)))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -2 x)) -1/2)
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) -2) (neg.f64 (/.f64 1/2 x)))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) -2) (*.f64 (/.f64 1 x) -1/2))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) -4) (/.f64 1 (*.f64 x -4)))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) (/.f64 1/2 x))
(.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) -4) -1/4)
(*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -2))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 x)) 1/2)
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 x)))
(*.f64 (/.f64 -1 x) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 1/2 x) (.f64 (sqrt.f64 (+.f64 1 x)) 2))
(.f64 -1/2 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -2 x)))
(.f64 (neg.f64 (/.f64 1/2 x)) (.f64 (sqrt.f64 (+.f64 1 x)) -2))
(.f64 (.f64 (/.f64 1 x) -1/2) (*.f64 (sqrt.f64 (+.f64 1 x)) -2))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 x x)) 2)
(.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (.f64 x -2)) -2)
(.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -2) (.f64 2 (/.f64 1 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)) -2) 2)
(.f64 (/.f64 1 (.f64 x -4)) (*.f64 (sqrt.f64 (+.f64 1 x)) -4))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 2) 2)
(.f64 -1/4 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) -4))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 1)
(neg.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)))

Outputs
(/.f64 -1 x)
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 3/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 3/8 (pow.f64 x 3))))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -5/16 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -5/16 (pow.f64 x 4)))))
(+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 -5/16 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 3/8 (pow.f64 x 3)) (+.f64 x (*.f64 -5/16 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 (*.f64 -1/8 x) (+.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x -1/8)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x -1/8) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x -1/8)))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/16 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 2) 1/16)) (.f64 x -1/8)))
(+.f64 1/2 (+.f64 (.f64 x -1/8) (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 2) 1/16))))
(+.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 (.f64 (pow.f64 x 2) 1/16) (.f64 x -1/8)))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x -1/8) (.f64 (pow.f64 x 2) 1/16)) 1/2))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x -1/8) (+.f64 1/2 (.f64 (pow.f64 x 2) 1/16))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(+.f64 -1 (+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(+.f64 -1 (+.f64 (-.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x)) (/.f64 1 (sqrt.f64 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)) (/.f64 1 (sqrt.f64 x)))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)) (neg.f64 (neg.f64 (/.f64 1 (sqrt.f64 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 0)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(+.f64 0 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(+.f64 (+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x))) -1)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(+.f64 (-.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x)) (-.f64 -1 (neg.f64 (/.f64 1 (sqrt.f64 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(+.f64 (-.f64 -1 (neg.f64 (/.f64 1 (sqrt.f64 x)))) (-.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x)))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(*.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(*.f64 -1 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 (sqrt.f64 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 1)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(*.f64 2 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 2))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 2) 1/2)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(*.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 (sqrt.f64 x))) -1)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(.f64 1/2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 2))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(.f64 1/2 (+.f64 (.f64 (/.f64 1 (sqrt.f64 x)) 2) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -2 x))))
(.f64 1/2 (+.f64 (.f64 2 (/.f64 1 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 -2 x))))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 -2 x)) (*.f64 2 (/.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 2) 2)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 1)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 2) 2)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 (sqrt.f64 x))) -1)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 4) 4)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 4)) 8)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(/.f64 (*.f64 2 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 (sqrt.f64 x)))) -2)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(/.f64 (+.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x)))) (*.f64 (sqrt.f64 x) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(/.f64 (+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 4)) (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 4))) 16)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(pow.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 1)
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(neg.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 1 (sqrt.f64 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(+.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 0)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(+.f64 0 (/.f64 x (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 x))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 x))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(+.f64 (/.f64 x (.f64 (sqrt.f64 (+.f64 1 x)) 2)) (/.f64 x (.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(-.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 0)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(-.f64 0 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 1 (/.f64 x (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 x (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 -1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 1)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 2 (/.f64 x (.f64 (sqrt.f64 (+.f64 1 x)) 2)))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 2 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 2))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 2 (.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))) x))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 1 x))) 1/2)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (+.f64 x x) (/.f64 1/2 (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (+.f64 x x) (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 x 4) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) 4)))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 4) 1/4)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 x -2) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) -2)))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) x)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (/.f64 1 x)))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))) -1)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 x 2))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 1/2 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 x))) (+.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) 1/2) (+.f64 x x))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1 x)) -2)) (*.f64 x -2))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (/.f64 x (.f64 (sqrt.f64 (+.f64 1 x)) 2)) 2)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 1/4 (.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 4))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (/.f64 x 2) (.f64 2 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 2) 2)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (+.f64 1 x)) 4)) (*.f64 x 4))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 x))) 1)
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (sqrt.f64 (+.f64 x 1)))
(+.f64 -1 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x)))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 0)
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(+.f64 0 (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(+.f64 -2 (-.f64 1 (-.f64 -1 (/.f64 (sqrt.f64 (+.f64 1 x)) x))))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(+.f64 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x)) -1)
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(+.f64 (/.f64 1 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 x x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 x x)))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 0)
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(-.f64 0 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x)) 1)
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) x))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 -1 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 x))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)) -1)
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 1)
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 2 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 x x)))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 2 (/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)) -2))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 2 (/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 2))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 2 (.f64 (neg.f64 (/.f64 1/2 x)) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 2 (.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 -2 (/.f64 (sqrt.f64 (+.f64 1 x)) (.f64 x -2)))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -2 x)) -1/2)
(.f64 -1/2 (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 -2 x)))
(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 -1/2 (/.f64 -2 x)))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) -2) (neg.f64 (/.f64 1/2 x)))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) -2) (*.f64 (/.f64 1 x) -1/2))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) -4) (/.f64 1 (*.f64 x -4)))
(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 -4 (/.f64 1 (*.f64 x -4))))
(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 -4 (/.f64 -1/4 x)))
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) 2) (/.f64 1/2 x))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) -4) -1/4)
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 (.f64 2 (/.f64 1 x)) (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -2))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 x)) 1/2)
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 (/.f64 -1 x) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 (/.f64 1/2 x) (.f64 (sqrt.f64 (+.f64 1 x)) 2))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 -1/2 (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -2 x)))
(.f64 -1/2 (.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 -2 x)))
(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 -1/2 (/.f64 -2 x)))
(.f64 (neg.f64 (/.f64 1/2 x)) (.f64 (sqrt.f64 (+.f64 1 x)) -2))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 (.f64 (/.f64 1 x) -1/2) (*.f64 (sqrt.f64 (+.f64 1 x)) -2))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 x x)) 2)
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (.f64 x -2)) -2)
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) -2) (.f64 2 (/.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)) -2) 2)
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 (/.f64 1 (.f64 x -4)) (*.f64 (sqrt.f64 (+.f64 1 x)) -4))
(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 -4 (/.f64 1 (*.f64 x -4))))
(.f64 (sqrt.f64 (+.f64 x 1)) (.f64 -4 (/.f64 -1/4 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 2) 2)
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(.f64 -1/4 (.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) -4))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) 1)
(/.f64 (sqrt.f64 (+.f64 x 1)) x)
(neg.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 x)))
(/.f64 (sqrt.f64 (+.f64 x 1)) x)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
	0.3b	(/.f64 1 (sqrt.f64 x))
✓	14.1b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
	15.2b	(sqrt.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)))

Compiler

Compiled 79 to 58 computations (26.6% saved)

series1.0ms (0%)

Counts

2 → 4

Calls

6 calls:

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

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2010×	`rational.json-1`
2010×	`rational.json-2`
1368×	`rational.json-simplify-35`
908×	`exponential.json-3`
908×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	94
1	108	94
2	267	94
3	672	94
4	2297	94
5	6905	94

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

simplify116.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational.json-simplify-53`
866×	`rational.json-simplify-41`
844×	`rational.json-simplify-2`
714×	`rational.json-simplify-35`
684×	`rational.json-simplify-61`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	131	2849
1	254	2849
2	528	2849
3	1386	2849
4	3361	2849
5	6061	2231

Stop Event

1×	node limit

Counts

65 → 82

Calls

Call 1

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

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

eval319.0ms (1.5%)

Compiler: Compiled 11155 to 8189 computations (26.6% saved)

prune372.0ms (1.7%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	618	11	629
Fresh	3	9	12
Picked	1	0	1
Done	4	2	6
Total	626	22	648

Error

20.7b

Counts

648 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	30.6b	(/.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) (neg.f64 (sqrt.f64 (-.f64 x -1)))) (sqrt.f64 x)) (.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))) (neg.f64 (sqrt.f64 (-.f64 x -1)))) (sqrt.f64 x)))
	57.3b	(/.f64 (+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
▶	62.3b	(/.f64 -1 x)
▶	47.0b	(-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x))) 1)
	58.3b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
▶	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 2 (+.f64 x 2)))
	61.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 2 x))
	57.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 x 1)))))
✓	21.1b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	61.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 x))
▶	30.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1))
	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (.f64 (/.f64 2 (.f64 (+.f64 x 2) (+.f64 x 2))) (+.f64 x 2)))
	58.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
	26.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
✓	32.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
	45.5b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
	44.9b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	32.2b	(-.f64 (*.f64 (/.f64 1 x) (sqrt.f64 x)) 1)
	31.0b	(+.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (-.f64 1 (/.f64 2 (+.f64 x 2))) 1))
	53.3b	(+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (/.f64 2 x))) -1)
▶	23.4b	(+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) 1) -1)
	62.8b	-1

Compiler

Compiled 575 to 452 computations (21.4% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (sqrt.f64 x))
✓	5.2b	(+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) 1) -1)

Compiler

Compiled 24 to 16 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`rational.json-1`
1418×	`rational.json-2`
1418×	`rational.json-4`
1418×	`rational.json-3`
1414×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	78	11
2	174	11
3	353	11
4	750	11
5	2090	11
6	5589	11

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 2) (/.f64 1/2 (sqrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 4 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 1/2) (/.f64 2 (sqrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (*.f64 x x))) (*.f64 (sqrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (*.f64 x x))) (*.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (sqrt.f64 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (*.f64 (sqrt.f64 x) 4)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 2 (sqrt.f64 (*.f64 x x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 2) (*.f64 2 (sqrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (sqrt.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 4) (*.f64 4 (sqrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x x)) (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 (sqrt.f64 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (*.f64 (sqrt.f64 x) 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) -2) (+.f64 (neg.f64 (sqrt.f64 (*.f64 x x))) (neg.f64 (sqrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) -2) (neg.f64 (*.f64 2 (sqrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 8) (*.f64 (sqrt.f64 (*.f64 x x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 8) (*.f64 4 (*.f64 2 (sqrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 8) (+.f64 (*.f64 4 (sqrt.f64 (*.f64 x x))) (*.f64 4 (sqrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (sqrt.f64 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (sqrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (*.f64 2 (*.f64 (sqrt.f64 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (/.f64 (*.f64 (sqrt.f64 x) 8) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 x) 8)) (+.f64 (*.f64 (sqrt.f64 (*.f64 x x)) 8) (*.f64 (sqrt.f64 (*.f64 x x)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 x) 8)) (+.f64 (*.f64 4 (*.f64 2 (sqrt.f64 (*.f64 x x)))) (*.f64 4 (*.f64 2 (sqrt.f64 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 (neg.f64 (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (neg.f64 (*.f64 (sqrt.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 4 (sqrt.f64 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (*.f64 1/2 (*.f64 (sqrt.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 (sqrt.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 1/2) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 x) 1/2) (/.f64 (sqrt.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (*.f64 x x))) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (sqrt.f64 (*.f64 x x))) (/.f64 2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 32 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (*.f64 2 (*.f64 (neg.f64 (sqrt.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (*.f64 2 (neg.f64 (*.f64 (sqrt.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (neg.f64 (*.f64 (sqrt.f64 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (/.f64 4 (sqrt.f64 x)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 8 (sqrt.f64 x)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (*.f64 (sqrt.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/4 (sqrt.f64 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 8 (sqrt.f64 x)) (/.f64 8 (sqrt.f64 x))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 x) 8))) (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 x) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (+.f64 (*.f64 2 (*.f64 (neg.f64 (sqrt.f64 x)) 4)) (*.f64 2 (*.f64 (neg.f64 (sqrt.f64 x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (+.f64 (*.f64 2 (neg.f64 (*.f64 (sqrt.f64 x) 4))) (*.f64 2 (neg.f64 (*.f64 (sqrt.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (+.f64 (neg.f64 (*.f64 (sqrt.f64 x) 8)) (neg.f64 (*.f64 (sqrt.f64 x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (neg.f64 (*.f64 2 (*.f64 (sqrt.f64 x) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (/.f64 4 (sqrt.f64 x)))) (*.f64 2 (*.f64 2 (/.f64 4 (sqrt.f64 x))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 4)) (*.f64 (sqrt.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (sqrt.f64 x) 8)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 x))) (fabs.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 x) (*.f64 2 (fabs.f64 (sqrt.f64 x)))) (*.f64 1/2 (fabs.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (*.f64 (sqrt.f64 x) 2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (*.f64 (sqrt.f64 x) 1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (sqrt.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (*.f64 (sqrt.f64 x) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (sqrt.f64 x)))))))

simplify349.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1556×	`rational.json-simplify-35`
1474×	`rational.json-simplify-2`
1212×	`rational.json-simplify-1`
904×	`rational.json-simplify-49`
850×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	979
1	545	979
2	1919	979
3	4972	979
4	7767	979

Stop Event

1×	node limit

Counts

89 → 89

Calls

Call 1

Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) 0)
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) 1)
(-.f64 0 (/.f64 -1 (sqrt.f64 x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) -1) -1)
(*.f64 1 (/.f64 1 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (.f64 x x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 2 (/.f64 1/2 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) 2) (/.f64 1/2 (sqrt.f64 (*.f64 x x))))
(*.f64 4 (/.f64 1/4 (sqrt.f64 x)))
(*.f64 (/.f64 2 (sqrt.f64 x)) 1/2)
(*.f64 (/.f64 4 (sqrt.f64 x)) 1/4)
(*.f64 1/2 (/.f64 2 (sqrt.f64 x)))
(*.f64 (/.f64 1/2 (sqrt.f64 x)) 2)
(*.f64 1/4 (/.f64 4 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) 1/2) (/.f64 2 (sqrt.f64 (*.f64 x x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x))
(.f64 (/.f64 2 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 1/2))
(*.f64 (/.f64 -1 (sqrt.f64 x)) -1)
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 2))
(*.f64 (/.f64 1/4 (sqrt.f64 x)) 4)
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (/.f64 (neg.f64 (*.f64 (sqrt.f64 x) 4)) -4))
(/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x)))
(/.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 2 (*.f64 (sqrt.f64 x) 2))
(/.f64 2 (/.f64 (.f64 2 (sqrt.f64 (.f64 x x))) (sqrt.f64 x)))
(/.f64 (.f64 (sqrt.f64 x) 2) (.f64 2 (sqrt.f64 (*.f64 x x))))
(/.f64 4 (*.f64 (sqrt.f64 x) 4))
(/.f64 4 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) 4))))
(/.f64 4 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) 4)))
(/.f64 (/.f64 2 (sqrt.f64 x)) 2)
(/.f64 (.f64 (sqrt.f64 x) 4) (.f64 4 (sqrt.f64 (*.f64 x x))))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (*.f64 x x))))
(/.f64 (sqrt.f64 (.f64 x x)) (/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) (sqrt.f64 x)))
(/.f64 8 (*.f64 (sqrt.f64 x) 8))
(/.f64 8 (/.f64 (*.f64 (sqrt.f64 x) 4) 1/2))
(/.f64 8 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) 8))))
(/.f64 -2 (*.f64 (sqrt.f64 x) -2))
(/.f64 (.f64 (sqrt.f64 x) -2) (+.f64 (neg.f64 (sqrt.f64 (.f64 x x))) (neg.f64 (sqrt.f64 (*.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 x) -2) (neg.f64 (.f64 2 (sqrt.f64 (*.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 x) 8) (.f64 (sqrt.f64 (*.f64 x x)) 8))
(/.f64 (.f64 (sqrt.f64 x) 8) (.f64 4 (.f64 2 (sqrt.f64 (.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 x) 8) (+.f64 (.f64 4 (sqrt.f64 (.f64 x x))) (.f64 4 (sqrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 4 (sqrt.f64 x)) 4)
(/.f64 1/2 (*.f64 (sqrt.f64 x) 1/2))
(/.f64 16 (.f64 2 (.f64 (sqrt.f64 x) 8)))
(/.f64 16 (/.f64 (*.f64 (sqrt.f64 x) 8) 1/2))
(/.f64 (.f64 2 (.f64 (sqrt.f64 x) 8)) (+.f64 (.f64 (sqrt.f64 (.f64 x x)) 8) (.f64 (sqrt.f64 (.f64 x x)) 8)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 x) 8)) (+.f64 (.f64 4 (.f64 2 (sqrt.f64 (.f64 x x)))) (.f64 4 (.f64 2 (sqrt.f64 (.f64 x x))))))
(/.f64 -4 (*.f64 (neg.f64 (sqrt.f64 x)) 4))
(/.f64 -4 (neg.f64 (*.f64 (sqrt.f64 x) 4)))
(/.f64 (*.f64 2 (/.f64 4 (sqrt.f64 x))) 8)
(/.f64 (/.f64 1/2 (sqrt.f64 x)) 1/2)
(/.f64 1/4 (.f64 1/2 (.f64 (sqrt.f64 x) 1/2)))
(/.f64 1/4 (/.f64 (sqrt.f64 x) 4))
(/.f64 (.f64 (sqrt.f64 x) 1/2) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2)))
(/.f64 (.f64 (sqrt.f64 x) 1/2) (/.f64 (sqrt.f64 (.f64 x x)) 2))
(/.f64 (/.f64 1 (sqrt.f64 (*.f64 x x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 x x))) (/.f64 2 (sqrt.f64 x)))
(/.f64 32 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 x) 8))))
(/.f64 -8 (.f64 2 (.f64 (neg.f64 (sqrt.f64 x)) 4)))
(/.f64 -8 (.f64 2 (neg.f64 (.f64 (sqrt.f64 x) 4))))
(/.f64 -8 (neg.f64 (*.f64 (sqrt.f64 x) 8)))
(/.f64 (.f64 2 (.f64 2 (/.f64 4 (sqrt.f64 x)))) 16)
(/.f64 (/.f64 8 (sqrt.f64 x)) 8)
(/.f64 -1/2 (neg.f64 (*.f64 (sqrt.f64 x) 1/2)))
(/.f64 (/.f64 -1 (sqrt.f64 x)) -1)
(/.f64 (/.f64 1/4 (sqrt.f64 x)) 1/4)
(/.f64 (+.f64 (/.f64 8 (sqrt.f64 x)) (/.f64 8 (sqrt.f64 x))) 16)
(/.f64 64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 x) 8))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 x) 8)))))
(/.f64 -16 (+.f64 (.f64 2 (.f64 (neg.f64 (sqrt.f64 x)) 4)) (.f64 2 (.f64 (neg.f64 (sqrt.f64 x)) 4))))
(/.f64 -16 (+.f64 (.f64 2 (neg.f64 (.f64 (sqrt.f64 x) 4))) (.f64 2 (neg.f64 (.f64 (sqrt.f64 x) 4)))))
(/.f64 -16 (+.f64 (neg.f64 (.f64 (sqrt.f64 x) 8)) (neg.f64 (.f64 (sqrt.f64 x) 8))))
(/.f64 -16 (neg.f64 (.f64 2 (.f64 (sqrt.f64 x) 8))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (/.f64 4 (sqrt.f64 x)))) (.f64 2 (.f64 2 (/.f64 4 (sqrt.f64 x))))) 32)
(/.f64 (+.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 x))) -2)
(/.f64 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 4)) (.f64 (sqrt.f64 x) 1/4))
(/.f64 (/.f64 1 (*.f64 (sqrt.f64 x) 8)) 1/8)
(/.f64 (/.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 x))) (fabs.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (.f64 2 (fabs.f64 (sqrt.f64 x)))) (.f64 1/2 (fabs.f64 (sqrt.f64 x))))
(/.f64 (/.f64 -1 (*.f64 (sqrt.f64 x) 2)) -1/2)
(/.f64 (/.f64 -1 (*.f64 (sqrt.f64 x) 1/2)) -2)
(/.f64 (/.f64 -2 (sqrt.f64 x)) -2)
(/.f64 (/.f64 1/2 (*.f64 (sqrt.f64 x) 4)) 1/8)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 1)
(neg.f64 (/.f64 -1 (sqrt.f64 x)))

Outputs
(-.f64 (/.f64 1 (sqrt.f64 x)) 0)
(/.f64 1 (sqrt.f64 x))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) 1)
(/.f64 1 (sqrt.f64 x))
(-.f64 0 (/.f64 -1 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) -1) -1)
(/.f64 1 (sqrt.f64 x))
(*.f64 1 (/.f64 1 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (.f64 x x))))
(/.f64 1 (sqrt.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 1 (sqrt.f64 x))
(*.f64 2 (/.f64 1/2 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) 2) (/.f64 1/2 (sqrt.f64 (*.f64 x x))))
(/.f64 1 (sqrt.f64 x))
(*.f64 4 (/.f64 1/4 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(*.f64 (/.f64 2 (sqrt.f64 x)) 1/2)
(/.f64 1 (sqrt.f64 x))
(*.f64 (/.f64 4 (sqrt.f64 x)) 1/4)
(/.f64 1 (sqrt.f64 x))
(*.f64 1/2 (/.f64 2 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(*.f64 (/.f64 1/2 (sqrt.f64 x)) 2)
(/.f64 1 (sqrt.f64 x))
(*.f64 1/4 (/.f64 4 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) 1/2) (/.f64 2 (sqrt.f64 (*.f64 x x))))
(/.f64 1 (sqrt.f64 x))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x))
(/.f64 1 (sqrt.f64 x))
(.f64 (/.f64 2 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 1/2))
(/.f64 1 (sqrt.f64 x))
(*.f64 (/.f64 -1 (sqrt.f64 x)) -1)
(/.f64 1 (sqrt.f64 x))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 x x))) (*.f64 (sqrt.f64 x) 2))
(/.f64 1 (sqrt.f64 x))
(*.f64 (/.f64 1/4 (sqrt.f64 x)) 4)
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (/.f64 (neg.f64 (*.f64 (sqrt.f64 x) 4)) -4))
(/.f64 1 (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x)))
(/.f64 1 (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x x)))))
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 1 (sqrt.f64 x))
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(/.f64 2 (*.f64 (sqrt.f64 x) 2))
(/.f64 1 (sqrt.f64 x))
(/.f64 2 (/.f64 (.f64 2 (sqrt.f64 (.f64 x x))) (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 x) 2) (.f64 2 (sqrt.f64 (*.f64 x x))))
(/.f64 1 (sqrt.f64 x))
(/.f64 4 (*.f64 (sqrt.f64 x) 4))
(/.f64 1 (sqrt.f64 x))
(/.f64 4 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) 4))))
(/.f64 1 (sqrt.f64 x))
(/.f64 4 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) 4)))
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 2 (sqrt.f64 x)) 2)
(/.f64 1 (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 x) 4) (.f64 4 (sqrt.f64 (*.f64 x x))))
(/.f64 1 (sqrt.f64 x))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (*.f64 x x))))
(/.f64 1 (sqrt.f64 x))
(/.f64 (sqrt.f64 (.f64 x x)) (/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(/.f64 8 (*.f64 (sqrt.f64 x) 8))
(/.f64 1 (sqrt.f64 x))
(/.f64 8 (/.f64 (*.f64 (sqrt.f64 x) 4) 1/2))
(/.f64 1 (sqrt.f64 x))
(/.f64 8 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) 8))))
(/.f64 1 (sqrt.f64 x))
(/.f64 -2 (*.f64 (sqrt.f64 x) -2))
(/.f64 1 (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 x) -2) (+.f64 (neg.f64 (sqrt.f64 (.f64 x x))) (neg.f64 (sqrt.f64 (*.f64 x x)))))
(/.f64 1 (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 x) -2) (neg.f64 (.f64 2 (sqrt.f64 (*.f64 x x)))))
(/.f64 1 (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 x) 8) (.f64 (sqrt.f64 (*.f64 x x)) 8))
(/.f64 1 (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 x) 8) (.f64 4 (.f64 2 (sqrt.f64 (.f64 x x)))))
(/.f64 1 (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 x) 8) (+.f64 (.f64 4 (sqrt.f64 (.f64 x x))) (.f64 4 (sqrt.f64 (*.f64 x x)))))
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 4 (sqrt.f64 x)) 4)
(/.f64 1 (sqrt.f64 x))
(/.f64 1/2 (*.f64 (sqrt.f64 x) 1/2))
(/.f64 1 (sqrt.f64 x))
(/.f64 16 (.f64 2 (.f64 (sqrt.f64 x) 8)))
(/.f64 1 (sqrt.f64 x))
(/.f64 16 (/.f64 (*.f64 (sqrt.f64 x) 8) 1/2))
(/.f64 1 (sqrt.f64 x))
(/.f64 (.f64 2 (.f64 (sqrt.f64 x) 8)) (+.f64 (.f64 (sqrt.f64 (.f64 x x)) 8) (.f64 (sqrt.f64 (.f64 x x)) 8)))
(/.f64 1 (sqrt.f64 x))
(/.f64 (.f64 2 (.f64 (sqrt.f64 x) 8)) (+.f64 (.f64 4 (.f64 2 (sqrt.f64 (.f64 x x)))) (.f64 4 (.f64 2 (sqrt.f64 (.f64 x x))))))
(/.f64 1 (sqrt.f64 x))
(/.f64 -4 (*.f64 (neg.f64 (sqrt.f64 x)) 4))
(/.f64 1 (sqrt.f64 x))
(/.f64 -4 (neg.f64 (*.f64 (sqrt.f64 x) 4)))
(/.f64 1 (sqrt.f64 x))
(/.f64 (*.f64 2 (/.f64 4 (sqrt.f64 x))) 8)
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 1/2 (sqrt.f64 x)) 1/2)
(/.f64 1 (sqrt.f64 x))
(/.f64 1/4 (.f64 1/2 (.f64 (sqrt.f64 x) 1/2)))
(/.f64 1 (sqrt.f64 x))
(/.f64 1/4 (/.f64 (sqrt.f64 x) 4))
(/.f64 1 (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 x) 1/2) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2)))
(/.f64 1 (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 x) 1/2) (/.f64 (sqrt.f64 (.f64 x x)) 2))
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 1 (sqrt.f64 (*.f64 x x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 x x))) (/.f64 2 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(/.f64 32 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 x) 8))))
(/.f64 1 (sqrt.f64 x))
(/.f64 -8 (.f64 2 (.f64 (neg.f64 (sqrt.f64 x)) 4)))
(/.f64 1 (sqrt.f64 x))
(/.f64 -8 (.f64 2 (neg.f64 (.f64 (sqrt.f64 x) 4))))
(/.f64 1 (sqrt.f64 x))
(/.f64 -8 (neg.f64 (*.f64 (sqrt.f64 x) 8)))
(/.f64 1 (sqrt.f64 x))
(/.f64 (.f64 2 (.f64 2 (/.f64 4 (sqrt.f64 x)))) 16)
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 8 (sqrt.f64 x)) 8)
(/.f64 1 (sqrt.f64 x))
(/.f64 -1/2 (neg.f64 (*.f64 (sqrt.f64 x) 1/2)))
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 -1 (sqrt.f64 x)) -1)
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 1/4 (sqrt.f64 x)) 1/4)
(/.f64 1 (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 8 (sqrt.f64 x)) (/.f64 8 (sqrt.f64 x))) 16)
(/.f64 1 (sqrt.f64 x))
(/.f64 64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 x) 8))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 x) 8)))))
(/.f64 1 (sqrt.f64 x))
(/.f64 -16 (+.f64 (.f64 2 (.f64 (neg.f64 (sqrt.f64 x)) 4)) (.f64 2 (.f64 (neg.f64 (sqrt.f64 x)) 4))))
(/.f64 1 (sqrt.f64 x))
(/.f64 -16 (+.f64 (.f64 2 (neg.f64 (.f64 (sqrt.f64 x) 4))) (.f64 2 (neg.f64 (.f64 (sqrt.f64 x) 4)))))
(/.f64 1 (sqrt.f64 x))
(/.f64 -16 (+.f64 (neg.f64 (.f64 (sqrt.f64 x) 8)) (neg.f64 (.f64 (sqrt.f64 x) 8))))
(/.f64 1 (sqrt.f64 x))
(/.f64 -16 (neg.f64 (.f64 2 (.f64 (sqrt.f64 x) 8))))
(/.f64 1 (sqrt.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (/.f64 4 (sqrt.f64 x)))) (.f64 2 (.f64 2 (/.f64 4 (sqrt.f64 x))))) 32)
(/.f64 1 (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 x))) -2)
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 4)) (.f64 (sqrt.f64 x) 1/4))
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 1 (*.f64 (sqrt.f64 x) 8)) 1/8)
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 x))) (fabs.f64 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 (sqrt.f64 x) (.f64 2 (fabs.f64 (sqrt.f64 x)))) (.f64 1/2 (fabs.f64 (sqrt.f64 x))))
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 -1 (*.f64 (sqrt.f64 x) 2)) -1/2)
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 -1 (*.f64 (sqrt.f64 x) 1/2)) -2)
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 -2 (sqrt.f64 x)) -2)
(/.f64 1 (sqrt.f64 x))
(/.f64 (/.f64 1/2 (*.f64 (sqrt.f64 x) 4)) 1/8)
(/.f64 1 (sqrt.f64 x))
(pow.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 1 (sqrt.f64 x))
(neg.f64 (/.f64 -1 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 2 (+.f64 x 2))
✓	0.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 2 (+.f64 x 2)))
	0.3b	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`rational.json-1`
1724×	`rational.json-2`
1114×	`rational.json-simplify-35`
994×	`rational.json-simplify-61`
884×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	84	29
2	196	29
3	437	29
4	944	29
5	2742	29
6	7222	29

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify308.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1878×	`rational.json-simplify-35`
1798×	`rational.json-simplify-1`
1088×	`rational.json-simplify-2`
1030×	`rational.json-simplify-41`
604×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	1055
1	156	1039
2	379	1039
3	973	1039
4	1899	1039
5	3154	1039
6	3401	1039
7	3579	1039
8	3771	1039
9	4029	1039
10	4367	1039
11	5275	1039
12	6115	1039
13	6725	1039
14	7466	1039

Stop Event

1×	node limit

Counts

35 → 37

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x))) 1)
✓	0.2b	(/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x)))
	29.0b	(sqrt.f64 (*.f64 x x))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series4.0ms (0%)

Counts

2 → 2

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x))) 1)
0.0ms	x	@	-inf	(/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x)))
0.0ms	x	@	-inf	(-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x))) 1)
0.0ms	x	@	0	(/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x)))

rewrite135.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`rational.json-1`
1470×	`rational.json-2`
1470×	`rational.json-4`
1470×	`rational.json-3`
1456×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	77	48
2	191	48
3	458	48
4	1641	48
5	5138	48

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x)))
(-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x))) 1)

Outputs

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

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

simplify376.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

988×	`rational.json-simplify-61`
986×	`rational.json-simplify-2`
964×	`rational.json-simplify-35`
852×	`rational.json-simplify-46`
648×	`rational.json-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1097
1	168	1097
2	371	1097
3	862	1097
4	2220	1097
5	5109	1097
6	6702	1097

Stop Event

1×	node limit

Counts

49 → 49

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (sqrt.f64 (+.f64 1 x)))
	0.3b	(/.f64 1 (sqrt.f64 x))
✓	3.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1))
✓	5.2b	(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)

Compiler

Compiled 55 to 43 computations (21.8% saved)

series1.0ms (0%)

Counts

2 → 4

Calls

6 calls:

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1430×	`rational.json-simplify-35`
1026×	`rational.json-1`
1026×	`rational.json-2`
1026×	`rational.json-4`
1026×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	106	50
2	250	50
3	559	50
4	1347	50
5	3691	50

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

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

Outputs

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

simplify268.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1470×	`rational.json-simplify-53`
1328×	`rational.json-simplify-35`
1154×	`rational.json-simplify-1`
922×	`rational.json-simplify-49`
748×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	3435
1	639	3435
2	2109	3003
3	5798	3003

Stop Event

1×	node limit

Counts

133 → 147

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) -1))
(+.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 0)
(+.f64 (+.f64 1 (/.f64 1 (sqrt.f64 (-.f64 x -1)))) -1)
(+.f64 0 (/.f64 1 (sqrt.f64 (-.f64 x -1))))
(+.f64 -1 (+.f64 1 (/.f64 1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 2 (+.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) -2))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) -1) 1)
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 2) -2)
(+.f64 -2 (+.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 2))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) -2) 2)
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 3) -3)
(+.f64 -3 (+.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 3))
(+.f64 (/.f64 1/2 (sqrt.f64 (-.f64 x -1))) (/.f64 1/2 (sqrt.f64 (-.f64 x -1))))
(*.f64 1 (/.f64 1 (sqrt.f64 (-.f64 x -1))))
(.f64 (sqrt.f64 (-.f64 x -1)) (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(*.f64 2 (/.f64 1/2 (sqrt.f64 (-.f64 x -1))))
(.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 2) (/.f64 1/2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 x -1))) 1/2)
(*.f64 4 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 4))
(*.f64 (/.f64 4 (sqrt.f64 (-.f64 x -1))) 1/4)
(*.f64 1/2 (/.f64 2 (sqrt.f64 (-.f64 x -1))))
(.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 1/2) (/.f64 2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))))
(*.f64 1/4 (/.f64 4 (sqrt.f64 (-.f64 x -1))))
(*.f64 (/.f64 1/2 (sqrt.f64 (-.f64 x -1))) 2)
(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (sqrt.f64 (-.f64 x -1)))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (*.f64 (sqrt.f64 (-.f64 x -1)) 1/2))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (*.f64 (sqrt.f64 (-.f64 x -1)) 2))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 4) 4)
(*.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (-.f64 -1 (sqrt.f64 (-.f64 x -1)))) 1) (+.f64 1 (/.f64 1 (sqrt.f64 (-.f64 x -1)))))
(/.f64 1 (sqrt.f64 (-.f64 x -1)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))) (sqrt.f64 (-.f64 x -1))))
(/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))
(/.f64 (sqrt.f64 (-.f64 x -1)) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) -1))
(/.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(/.f64 -1 (neg.f64 (sqrt.f64 (-.f64 x -1))))
(/.f64 2 (*.f64 (sqrt.f64 (-.f64 x -1)) 2))
(/.f64 2 (+.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) (sqrt.f64 (-.f64 x -1))) (/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) (sqrt.f64 (-.f64 x -1)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 2) (.f64 2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))))
(/.f64 (/.f64 2 (sqrt.f64 (-.f64 x -1))) 2)
(/.f64 4 (*.f64 (sqrt.f64 (-.f64 x -1)) 4))
(/.f64 4 (-.f64 0 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x -1))) 4)))
(/.f64 4 (-.f64 0 (neg.f64 (*.f64 (sqrt.f64 (-.f64 x -1)) 4))))
(/.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 4) (.f64 4 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 x -1))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))))
(/.f64 -2 (*.f64 (sqrt.f64 (-.f64 x -1)) -2))
(/.f64 8 (*.f64 (sqrt.f64 (-.f64 x -1)) 8))
(/.f64 (.f64 (sqrt.f64 (-.f64 x -1)) -2) (+.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 x -1)) -2) (-.f64 0 (.f64 2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(/.f64 (/.f64 4 (sqrt.f64 (-.f64 x -1))) 4)
(/.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 8) (.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))) 8))
(/.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 8) (.f64 4 (.f64 2 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 8) (+.f64 (.f64 4 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (.f64 4 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))))))
(/.f64 1/2 (*.f64 (sqrt.f64 (-.f64 x -1)) 1/2))
(/.f64 16 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 8)))
(/.f64 -4 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x -1))) 4))
(/.f64 -4 (neg.f64 (*.f64 (sqrt.f64 (-.f64 x -1)) 4)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 8)) (+.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) 8) (.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) 8)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 8)) (+.f64 (.f64 4 (.f64 2 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) (.f64 4 (.f64 2 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 8) 8)
(/.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 1/2) (/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) 2))
(/.f64 (/.f64 1/2 (sqrt.f64 (-.f64 x -1))) 1/2)
(/.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) (/.f64 1 (sqrt.f64 (-.f64 x -1))))
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) (/.f64 2 (sqrt.f64 (-.f64 x -1))))
(/.f64 32 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (-.f64 x -1)) 8))))
(/.f64 -8 (.f64 2 (.f64 (neg.f64 (sqrt.f64 (-.f64 x -1))) 4)))
(/.f64 -8 (.f64 2 (neg.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 4))))
(/.f64 -8 (neg.f64 (*.f64 (sqrt.f64 (-.f64 x -1)) 8)))
(/.f64 (.f64 2 (.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 8)) 16)
(/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 8) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) 8)
(/.f64 -1/2 (-.f64 0 (*.f64 (sqrt.f64 (-.f64 x -1)) 1/2)))
(/.f64 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 x -1)) 4)) 1/4)
(/.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1))) (sqrt.f64 (-.f64 x -1)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (.f64 (sqrt.f64 (-.f64 x -1)) 2)) (.f64 (sqrt.f64 (-.f64 x -1)) 1/2))
(/.f64 (/.f64 -1 (sqrt.f64 (-.f64 x -1))) -1)
(/.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (.f64 (sqrt.f64 (-.f64 x -1)) 2)) (/.f64 (sqrt.f64 (-.f64 x -1)) (.f64 (sqrt.f64 (-.f64 x -1)) 2))) (sqrt.f64 (-.f64 x -1)))
(/.f64 64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 8))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 8)))))
(/.f64 -16 (+.f64 (.f64 2 (.f64 (neg.f64 (sqrt.f64 (-.f64 x -1))) 4)) (.f64 2 (.f64 (neg.f64 (sqrt.f64 (-.f64 x -1))) 4))))
(/.f64 -16 (+.f64 (.f64 2 (neg.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 4))) (.f64 2 (neg.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 4)))))
(/.f64 -16 (+.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 8)) (neg.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 8))))
(/.f64 -16 (-.f64 0 (.f64 2 (.f64 (sqrt.f64 (-.f64 x -1)) 8))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 8)) (.f64 2 (.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 8))) 32)
(/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 8) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1)))) (/.f64 (.f64 (sqrt.f64 (-.f64 x -1)) 8) (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))))) 16)
(/.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 (-.f64 x -1)) 4)) (/.f64 1 (.f64 (sqrt.f64 (-.f64 x -1)) 4))) 1/2)
(/.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1))) (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1)))) (*.f64 (sqrt.f64 (-.f64 x -1)) 2))
(/.f64 (+.f64 (/.f64 -1 (sqrt.f64 (-.f64 x -1))) (/.f64 -1 (sqrt.f64 (-.f64 x -1)))) -2)
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (sqrt.f64 (-.f64 x -1)))) (neg.f64 (sqrt.f64 (-.f64 x -1))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 x -1)) (.f64 (sqrt.f64 (-.f64 x -1)) 2))) (-.f64 0 (.f64 (sqrt.f64 (-.f64 x -1)) 1/2)))
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) 1)
(neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (-.f64 x -1))))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (neg.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 0)
(+.f64 0 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 -1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) -1)))
(+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (-.f64 x -1))))) 1)
(+.f64 (-.f64 -1 (/.f64 1 (sqrt.f64 (-.f64 x -1)))) (+.f64 1 (/.f64 1 (sqrt.f64 x))))
(+.f64 (neg.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1)))) (/.f64 1 (sqrt.f64 x)))
(+.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (-.f64 -1 (/.f64 1 (sqrt.f64 (-.f64 x -1)))))
(+.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) -1)) -1)
(+.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2) (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2))
(*.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))))
(*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(*.f64 -1 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x))))
(.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2))
(*.f64 2 (-.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 (-.f64 x -1)))))
(*.f64 4 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 4))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 2) 1/2)
(*.f64 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x))) -1)
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 2))
(*.f64 1/2 (-.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 2 (sqrt.f64 (-.f64 x -1)))))
(.f64 1/4 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 4))
(*.f64 1/4 (-.f64 (/.f64 4 (sqrt.f64 x)) (/.f64 4 (sqrt.f64 (-.f64 x -1)))))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2) 2)
(*.f64 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) 4)
(/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 2) 2)
(/.f64 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x))) -1)
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) 4)
(/.f64 (*.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x)))) -2)
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 8) 8)
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x))) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 8)) 16)
(/.f64 (neg.f64 (*.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 8)) (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x))))) (neg.f64 (.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x)))))) 4)
(pow.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(neg.f64 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x))))

Outputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 1 (*.f64 -1/2 x))
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -1/2 x) (.f64 3/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 -5/16 (pow.f64 x 3))) (*.f64 -1/2 x)))
(+.f64 (+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 -5/16 (pow.f64 x 3))) (+.f64 1 (*.f64 -1/2 x)))
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(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2))
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(*.f64 2 (-.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 (-.f64 x -1)))))
(*.f64 2 (-.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 (+.f64 1 x)))))
(*.f64 4 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 4))
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 2) 1/2)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(*.f64 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x))) -1)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) 1/4)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(.f64 1/2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 2))
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(*.f64 1/2 (-.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 2 (sqrt.f64 (-.f64 x -1)))))
(*.f64 1/2 (-.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 2 (sqrt.f64 (+.f64 1 x)))))
(.f64 1/4 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 4))
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(*.f64 1/4 (-.f64 (/.f64 4 (sqrt.f64 x)) (/.f64 4 (sqrt.f64 (-.f64 x -1)))))
(*.f64 1/4 (-.f64 (/.f64 4 (sqrt.f64 x)) (/.f64 4 (sqrt.f64 (+.f64 1 x)))))
(.f64 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) 4)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 2) 2)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x))) -1)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 4) 4)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x)))) -2)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 8) 8)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x))) 4) -4)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 8)) 16)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x))))) 2)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 8)) (.f64 2 (.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 8))) 32)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x))))) (neg.f64 (.f64 2 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x)))))) 4)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(pow.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (-.f64 x -1)))) 1)
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))
(neg.f64 (-.f64 (/.f64 1 (sqrt.f64 (-.f64 x -1))) (/.f64 1 (sqrt.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x))) (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x)))

eval350.0ms (1.6%)

Compiler: Compiled 7915 to 5649 computations (28.6% saved)

prune301.0ms (1.4%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	521	11	532
Fresh	2	13	15
Picked	0	1	1
Done	1	5	6
Total	524	30	554

Error

20.7b

Counts

554 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	38.1b	(/.f64 (/.f64 2 (sqrt.f64 (*.f64 x x))) (/.f64 2 (sqrt.f64 x)))
	30.6b	(/.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 (-.f64 x -1) (-.f64 x -1))) (neg.f64 (sqrt.f64 (-.f64 x -1)))) (sqrt.f64 x)) (.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1))) (neg.f64 (sqrt.f64 (-.f64 x -1)))) (sqrt.f64 x)))
	57.3b	(/.f64 (+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)) (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
	56.2b	(/.f64 (sqrt.f64 (.f64 x x)) (/.f64 (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))) (sqrt.f64 x)))
	38.1b	(/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x x)))
	38.1b	(/.f64 2 (/.f64 (.f64 2 (sqrt.f64 (.f64 x x))) (sqrt.f64 x)))
	32.0b	(/.f64 1 (sqrt.f64 x))
✓	62.3b	(/.f64 -1 x)
	32.2b	(-.f64 (/.f64 (sqrt.f64 x) x) 1)
	29.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 2 (sqrt.f64 (*.f64 (-.f64 x -1) (-.f64 x -1)))) (/.f64 2 (sqrt.f64 (-.f64 x -1)))))
	58.3b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
✓	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 2 (+.f64 x 2)))
	61.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 2 x))
	57.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (/.f64 x (sqrt.f64 (+.f64 x 1)))))
✓	21.1b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	61.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 x))
	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (+.f64 (/.f64 2 (+.f64 x 2)) -1) -1))
	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (+.f64 1 (/.f64 2 (+.f64 x 2))) 1))
✓	30.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 (+.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 1))
	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (.f64 (/.f64 2 (.f64 (+.f64 x 2) (+.f64 x 2))) (+.f64 x 2)))
	58.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
	26.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
✓	32.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
	45.5b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x)) (/.f64 2 (+.f64 x 2)))
	44.9b	(-.f64 (.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	32.2b	(-.f64 (*.f64 (/.f64 1 x) (sqrt.f64 x)) 1)
	53.3b	(+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (/.f64 2 x))) -1)
✓	23.4b	(+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) 1) -1)
	38.1b	(.f64 (/.f64 1 (sqrt.f64 (.f64 x x))) (sqrt.f64 x))
	62.8b	-1

Compiler

Compiled 395 to 305 computations (22.8% saved)

regimes44.0ms (0.2%)

Counts

46 → 1

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	x
10.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Error	Segments	Branch
21.1b	1	`x`
21.1b	1	`(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 624 to 422 computations (32.4% saved)

regimes17.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (/.f64 2 (+.f64 x 2)))) -1)

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
22.3b	1	`x`

Compiler

Compiled 217 to 144 computations (33.6% saved)

regimes113.0ms (0.5%)

Counts

14 → 2

Calls

Call 1

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

Outputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 2 (+.f64 x 2)))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) 1) -1)

Calls

1 calls:

110.0ms

Results

Error	Segments	Branch
22.1b	2	`x`

Compiler

Compiled 107 to 74 computations (30.8% saved)

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	1.5684365240235095e+119	2.442584889539659e+123

Results

23.0ms

128×

body

512

valid

Compiler

Compiled 192 to 165 computations (14.1% saved)

regimes121.0ms (0.6%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

119.0ms

Results

Error	Segments	Branch
22.3b	2	`x`

Compiler

Compiled 73 to 49 computations (32.9% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	1.4188572950394818	7.9942752853283405

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 148 to 127 computations (14.2% saved)

regimes9.0ms (0%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
23.4b	1	`x`

Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes6.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
32.0b	1	`x`

Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes5.0ms (0%)

Accuracy

Total -0.6b remaining (-1%)

Threshold costs -0.6b (-1%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(/.f64 -1 x)

Outputs
(/.f64 -1 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
62.3b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	238

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (/.f64 2 (+.f64 x 2)))) -1)
(if (<=.f64 x 850000000000000003071060985198196731013167247855717972430294720278616385137216761280646185464735644404222003617515238850560) (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 2 (+.f64 x 2))) (+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) 1) -1))
(if (<=.f64 x 2) (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1)) (+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) 1) -1))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) 1) -1)
(/.f64 1 (sqrt.f64 x))
(/.f64 -1 x)
-1

Outputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (/.f64 2 (+.f64 x 2)))) -1)
(if (<=.f64 x 850000000000000003071060985198196731013167247855717972430294720278616385137216761280646185464735644404222003617515238850560) (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 2 (+.f64 x 2))) (+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) 1) -1))
(if (<=.f64 x 2) (-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1)) (+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) 1) -1))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) 1) -1)
(/.f64 1 (sqrt.f64 x))
(/.f64 -1 x)
-1

Compiler

Compiled 93 to 76 computations (18.3% saved)

soundness0.0ms (0%)

end61.0ms (0.3%)

Compiler: Compiled 86 to 64 computations (25.6% saved)