Details

analyze81.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	50%	0.1%	0%	50%	0%	2
0%	0%	50%	0.1%	0%	50%	0%	3
0%	0%	50%	0.1%	0%	50%	0%	4
0%	0%	50%	0.1%	0%	50%	0%	5
16.7%	6.2%	31.2%	0.1%	0%	62.4%	0%	6
25%	9.4%	28.1%	0.1%	0%	62.4%	0%	7
45%	14%	17.2%	0.1%	0%	68.7%	0%	8
47.5%	14.8%	16.4%	0.1%	0%	68.7%	0%	9
63.4%	17.6%	10.1%	0.1%	0.4%	71.8%	0%	10
66.4%	18.1%	9.2%	0.1%	0.8%	71.8%	0%	11
78.2%	19.6%	5.5%	0.1%	1.5%	73.4%	0%	12

Compiler

Compiled 23 to 20 computations (13% saved)

sample3.9s (19.1%)

Results

2.8s	8256×	body	256	valid
836.0ms	586×	body	256	invalid
163.0ms	616×	body	256	infinite

Bogosity

preprocess4.0s (19.7%)

Algorithm

2×	egg-herbie

Rules

19420×	`rational.json-simplify-41`
2378×	`rational.json-simplify-1`
1296×	`rational.json-simplify-35`
12×	`rational.json-simplify-2`
4×	`rational.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	94
1	41	94
2	47	94
3	57	94
4	75	94
5	123	94
6	252	94
7	635	94
8	799	94
9	805	94
10	811	94
11	817	94
12	823	94
13	829	94
14	835	94
15	841	94
16	847	94
17	853	94
18	859	94
19	865	94
20	871	94
21	877	94
22	883	94
23	2803	94
24	2809	94
25	2815	94
26	2821	94
27	2827	94
28	2833	94
29	3656	94
30	3662	94
31	3668	94
32	3674	94
33	3680	94
34	3686	94
35	3692	94
36	3698	94
37	3704	94
38	3710	94
39	3716	94
40	3722	94
41	3728	94
42	3734	94
43	3740	94
44	3746	94
45	3752	94
46	3758	94
47	3764	94
48	3770	94
49	3776	94
50	3782	94
51	3788	94
52	3794	94
53	3800	94
54	3806	94
55	3812	94
56	3818	94
57	3824	94
58	3830	94
59	3836	94
60	3842	94
61	3848	94
62	3854	94
63	3860	94
64	3866	94
65	3872	94
66	3878	94
67	3884	94
68	3890	94
69	3896	94
70	3902	94
71	3908	94
72	3914	94
73	3920	94
74	3926	94
75	3932	94
76	3938	94
77	3944	94
78	3950	94
79	3956	94
80	3962	94
81	3968	94
82	3974	94
83	3980	94
84	3986	94
85	3992	94
86	3998	94
87	4004	94
88	4010	94
89	4016	94
90	4022	94
91	4028	94
92	4034	94
93	4040	94
94	4046	94
95	4052	94
96	4058	94
97	4064	94
98	4070	94
99	4076	94
100	4082	94
101	4088	94
102	4094	94
103	4100	94
104	4106	94
105	4112	94
106	4118	94
107	4124	94
108	4130	94
109	4136	94
110	4142	94
111	4148	94
112	4154	94
113	4160	94
114	4166	94
115	4172	94
116	4178	94
117	4184	94
118	4190	94
119	4196	94
120	4202	94
121	4208	94
122	4214	94
123	4220	94
124	4226	94
125	4232	94
126	4238	94
127	4244	94
128	4250	94
129	4256	94
130	4262	94
131	4268	94
132	4274	94
133	4280	94
134	4286	94
135	4292	94
136	4298	94
137	4304	94
138	4310	94
139	4316	94
140	4322	94
141	4328	94
142	4334	94
143	4340	94
144	4346	94
145	4352	94
146	4358	94
147	4364	94
148	4370	94
149	4376	94
150	4382	94
151	4388	94
152	4394	94
153	4400	94
154	4406	94
155	4412	94
156	4418	94
157	4424	94
158	4430	94
159	4436	94
160	4442	94
161	4448	94
162	4454	94
163	4460	94
164	4466	94
165	4472	94
166	4478	94
167	4484	94
168	4490	94
169	4496	94
170	4502	94
171	4508	94
172	4514	94
173	4520	94
174	4526	94
175	4532	94
176	4538	94
177	4544	94
178	4550	94
179	4556	94
180	4562	94
181	4568	94
182	4574	94
183	4580	94
184	4586	94
185	4592	94
186	4598	94
187	4604	94
188	4610	94
189	4616	94
190	4622	94
191	4628	94
192	4634	94
193	4640	94
194	4646	94
195	4652	94
196	4658	94
197	4664	94
198	4670	94
199	4676	94
200	4682	94
201	4688	94
202	4694	94
203	4700	94
204	4706	94
205	4712	94
206	4718	94
207	4724	94
208	4730	94
209	4736	94
210	4742	94
211	4748	94
212	4754	94
213	4760	94
214	4766	94
215	4772	94
216	4778	94
217	4784	94
218	4790	94
219	4796	94
220	4802	94
221	4808	94
222	4814	94
223	4820	94
224	4826	94
225	4832	94
226	4838	94
227	4844	94
228	4850	94
229	4856	94
230	4862	94
231	4868	94
232	4874	94
233	4880	94
234	4886	94
235	4892	94
236	4898	94
237	4904	94
238	4910	94
239	4916	94
240	4922	94
241	4928	94
242	4934	94
243	4940	94
244	4946	94
245	4952	94
246	4958	94
247	4964	94
248	4970	94
249	4976	94
250	4982	94
251	4988	94
252	4994	94
253	5000	94
254	5006	94
255	5012	94
256	5018	94
257	5024	94
258	5030	94
259	5036	94
260	5042	94
261	5048	94
262	5054	94
263	5060	94
264	5066	94
265	5072	94
266	5078	94
267	5084	94
268	5090	94
269	5096	94
270	5102	94
271	5108	94
272	5114	94
273	5120	94
274	5126	94
275	5132	94
276	5138	94
277	5144	94
278	5150	94
279	5156	94
280	5162	94
281	5168	94
282	5174	94
283	5180	94
284	5186	94
285	5192	94
286	5198	94
287	5204	94
288	5210	94
289	5216	94
290	5222	94
291	5228	94
292	5234	94
293	5240	94
294	5246	94
295	5252	94
296	5258	94
297	5264	94
298	5270	94
299	5276	94
300	5282	94
301	5288	94
302	5294	94
303	5300	94
304	5306	94
305	5312	94
306	5318	94
307	5324	94
308	5330	94
309	5336	94
310	5342	94
311	5348	94
312	5354	94
313	5360	94
314	5366	94
315	5372	94
316	5378	94
317	5384	94
318	5390	94
319	5396	94
320	5402	94
321	5408	94
322	5414	94
323	5420	94
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))

(*.f64 (-.f64 rand (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand (/.f64 1 3))))) a)))

Outputs
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
(.f64 (-.f64 rand (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand (/.f64 1 3))))) a)))
(.f64 (-.f64 rand 1/3) (+.f64 1 (.f64 a (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand 1/3)))))))

Compiler

Compiled 24 to 21 computations (12.5% saved)

simplify1.1s (5.3%)

Algorithm

1×	egg-herbie

Rules

10478×	`rational.json-simplify-41`
1144×	`rational.json-simplify-1`
374×	`rational.json-simplify-35`
6×	`rational.json-simplify-2`
2×	`rational.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	27	47
2	31	47
3	37	47
4	47	47
5	72	47
6	138	47
7	349	47
8	432	47
9	436	47
10	440	47
11	444	47
12	448	47
13	1300	47
14	1691	47
15	1695	47
16	1699	47
17	1703	47
18	1707	47
19	1711	47
20	1715	47
21	1719	47
22	1723	47
23	1727	47
24	1731	47
25	1735	47
26	1739	47
27	1743	47
28	1747	47
29	1751	47
30	1755	47
31	1759	47
32	1763	47
33	1767	47
34	1771	47
35	1775	47
36	1779	47
37	1783	47
38	1787	47
39	1791	47
40	1795	47
41	1799	47
42	1803	47
43	1807	47
44	1811	47
45	1815	47
46	1819	47
47	1823	47
48	1827	47
49	1831	47
50	1835	47
51	1839	47
52	1843	47
53	1847	47
54	1851	47
55	1855	47
56	1859	47
57	1863	47
58	1867	47
59	1871	47
60	1875	47
61	1879	47
62	1883	47
63	1887	47
64	1891	47
65	1895	47
66	1899	47
67	1903	47
68	1907	47
69	1911	47
70	1915	47
71	1919	47
72	1923	47
73	1927	47
74	1931	47
75	1935	47
76	1939	47
77	1943	47
78	1947	47
79	1951	47
80	1955	47
81	1959	47
82	1963	47
83	1967	47
84	1971	47
85	1975	47
86	1979	47
87	1983	47
88	1987	47
89	1991	47
90	1995	47
91	1999	47
92	2003	47
93	2007	47
94	2011	47
95	2015	47
96	2019	47
97	2023	47
98	2027	47
99	2031	47
100	2035	47
101	2039	47
102	2043	47
103	2047	47
104	2051	47
105	2055	47
106	2059	47
107	2063	47
108	2067	47
109	2071	47
110	2075	47
111	2079	47
112	2083	47
113	2087	47
114	2091	47
115	2095	47
116	2099	47
117	2103	47
118	2107	47
119	2111	47
120	2115	47
121	2119	47
122	2123	47
123	2127	47
124	2131	47
125	2135	47
126	2139	47
127	2143	47
128	2147	47
129	2151	47
130	2155	47
131	2159	47
132	2163	47
133	2167	47
134	2171	47
135	2175	47
136	2179	47
137	2183	47
138	2187	47
139	2191	47
140	2195	47
141	2199	47
142	2203	47
143	2207	47
144	2211	47
145	2215	47
146	2219	47
147	2223	47
148	2227	47
149	2231	47
150	2235	47
151	2239	47
152	2243	47
153	2247	47
154	2251	47
155	2255	47
156	2259	47
157	2263	47
158	2267	47
159	2271	47
160	2275	47
161	2279	47
162	2283	47
163	2287	47
164	7912	47
165	7916	47
166	7920	47
167	7924	47
168	7928	47
169	7932	47
170	7936	47
171	7940	47
172	7944	47
173	7948	47
174	7952	47
175	7956	47
176	7960	47
177	7964	47
178	7968	47
179	7972	47
180	7976	47
181	7980	47
182	7984	47
183	7988	47
184	7992	47
185	7996	47
186	8000	47

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))

Outputs
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))

eval1.0ms (0%)

Compiler: Compiled 38 to 32 computations (15.8% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))

Compiler

Compiled 18 to 15 computations (16.7% saved)

localize88.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
✓	0.2b	(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) rand)
✓	0.3b	(/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
✓	0.4b	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

Compiler

Compiled 67 to 54 computations (19.4% saved)

series12.0ms (0.1%)

Counts

4 → 42

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
1.0ms	rand	@	0	(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) rand)
1.0ms	a	@	0	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
1.0ms	a	@	0	(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) rand)
1.0ms	a	@	-inf	(/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`rational.json-1`
1542×	`rational.json-2`
1542×	`rational.json-4`
1542×	`rational.json-3`
1274×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	116
1	110	104
2	220	104
3	430	104
4	939	104
5	2841	104
6	6749	104

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))
(/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) rand)
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))))
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/.f64 (neg.f64 (/.f64 rand 2)) (-.f64 0 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (-.f64 0 (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (-.f64 0 (/.f64 2 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (.f64 rand -2))) (-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 rand 4))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 rand 4))) (-.f64 0 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 rand -2))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (+.f64 a -1/3) 1/2)) (.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (+.f64 a -1/3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (/.f64 2 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 8)) (.f64 2 (.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 1)))))

simplify199.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational.json-simplify-2`
936×	`rational.json-simplify-39`
922×	`rational.json-simplify-41`
880×	`rational.json-simplify-50`
718×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	359	5590
1	960	5514
2	3565	5400
3	5699	5368

Stop Event

1×	node limit

Counts

172 → 221

Calls

Call 1

Inputs
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))))
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 0)
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(+.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2))
(-.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1)
(.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 2 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 1/2))
(.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2) 1/2)
(.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4))
(.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4) 1/4)
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1)
(.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 8) 1/8)
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2))
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4))
(.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 1/2) 2)
(.f64 1/8 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 8))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4) 4)
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4) 4)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) -1)
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8) 8)
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) -2) -2)
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4) -4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8))) 32)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(+.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 0)
(+.f64 0 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(+.f64 (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(-.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 0)
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 1 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) 9) (*.f64 (+.f64 a -1/3) 9)))))
(.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)
(.f64 2 (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2) (/.f64 1/2 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9)))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1/2)
(.f64 4 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4))
(.f64 (/.f64 4 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1/4)
(.f64 1/2 (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 2)
(.f64 (/.f64 1 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9)))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2))
(.f64 1/4 (/.f64 4 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2) (/.f64 2 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9)))))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9)))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4) 4)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1)
(neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 0)
(+.f64 0 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(+.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1/2) (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1/2))
(-.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 0)
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand))
(/.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 1 rand))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 rand (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(/.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1)
(/.f64 -1 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (neg.f64 rand)))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand)))
(/.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)))
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 2 rand))
(/.f64 4 (.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))
(/.f64 (+.f64 rand rand) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand)) 2)
(/.f64 (.f64 rand 4) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4))
(/.f64 -2 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand))))
(/.f64 -2 (+.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (neg.f64 rand)) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (neg.f64 rand))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)) (neg.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(/.f64 (/.f64 4 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (+.f64 (/.f64 2 rand) (/.f64 2 rand)))
(/.f64 8 (.f64 2 (.f64 4 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand))))
(/.f64 8 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8) rand))
(/.f64 (.f64 rand (/.f64 4 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 4)
(/.f64 1/2 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 1/2 rand)))
(/.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(/.f64 -4 (+.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand))) (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)))))
(/.f64 -4 (-.f64 0 (.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(/.f64 16 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8) rand) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8) rand)))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))) (.f64 2 (.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))))
(/.f64 (.f64 rand 8) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 8))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 8) 8)
(/.f64 (.f64 rand -2) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) -2))
(/.f64 (.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)) (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand))))
(/.f64 (.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)) (+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1/2) 1/2)
(/.f64 (/.f64 rand 2) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2))
(/.f64 (/.f64 rand 2) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9))) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2)))
(/.f64 (.f64 2 (.f64 rand 8)) (.f64 2 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 8)))
(/.f64 (.f64 2 (.f64 rand -2)) (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4))
(/.f64 (.f64 2 (.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 8)) 16)
(/.f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 1/2 rand))))
(/.f64 (neg.f64 (.f64 rand 8)) (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 8)))
(/.f64 (/.f64 (.f64 rand 8) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 8)
(/.f64 (/.f64 rand (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) -1)
(/.f64 (/.f64 rand (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4)) 1/4)
(/.f64 (neg.f64 (.f64 rand 4)) (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)) (-.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(/.f64 (neg.f64 (.f64 rand -2)) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2))
(/.f64 (+.f64 (/.f64 rand (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 rand (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) -2)
(/.f64 (+.f64 (/.f64 (.f64 rand 8) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 (.f64 rand 8) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 rand -2)) (.f64 2 (.f64 rand -2))) (.f64 2 (.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 4)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 8)) (.f64 2 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 rand 4)) (neg.f64 (.f64 rand 4))) (.f64 2 (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4))))
(/.f64 (+.f64 (neg.f64 (.f64 rand -2)) (neg.f64 (.f64 rand -2))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4))
(/.f64 (neg.f64 (/.f64 rand 2)) (-.f64 0 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2)))
(/.f64 (neg.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (-.f64 0 (/.f64 1 rand)))
(/.f64 (neg.f64 (/.f64 2 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (-.f64 0 (/.f64 2 rand)))
(/.f64 (neg.f64 (.f64 2 (.f64 rand -2))) (-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 rand 4))) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 rand 4))) (-.f64 0 (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4))))
(/.f64 (neg.f64 (neg.f64 (.f64 rand -2))) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) -2))
(pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1)
(neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(+.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 0)
(+.f64 0 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))
(+.f64 (.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (+.f64 a -1/3) 1/2)) (.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (+.f64 a -1/3) 1/2)))
(-.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 0)
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 1)
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (/.f64 2 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))) 2)
(/.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 4)) 4)
(/.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 8)) (.f64 2 (.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 8))) 32)
(pow.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 1)

Outputs
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))
(+.f64 (.f64 3 (sqrt.f64 -1/3)) (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (+.f64 (.f64 3 (sqrt.f64 -1/3)) (.f64 3/2 (/.f64 a (sqrt.f64 -1/3)))) (*.f64 -3/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))
(+.f64 (.f64 3 (sqrt.f64 -1/3)) (+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 3 (sqrt.f64 -1/3)) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -3/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 3 (sqrt.f64 -1/3)) (.f64 3/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(+.f64 (+.f64 (.f64 3 (sqrt.f64 -1/3)) (.f64 3/2 (/.f64 a (sqrt.f64 -1/3)))) (+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (.f64 3/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))))
(+.f64 (.f64 3 (sqrt.f64 -1/3)) (+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (sqrt.f64 -3))))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 1/3 (sqrt.f64 -3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 a 2) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))) (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (sqrt.f64 -3)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 a 2) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))) (.f64 -3/2 (/.f64 a (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (sqrt.f64 -3)) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 -1/6 (.f64 (pow.f64 a 2) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))))
(+.f64 (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (sqrt.f64 -3)))) (.f64 -1/6 (.f64 (pow.f64 a 2) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -1/6 (.f64 (pow.f64 a 2) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))) (.f64 -1/6 (.f64 (pow.f64 a 3) (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (sqrt.f64 -3))))))
(+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -1/6 (.f64 (pow.f64 a 2) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))) (.f64 -1/6 (.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (/.f64 (pow.f64 a 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/3 (sqrt.f64 -3)) (+.f64 (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 -1/6 (.f64 (pow.f64 a 2) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))) (.f64 -1/6 (.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (/.f64 (pow.f64 a 3) (sqrt.f64 -3))))))
(+.f64 (.f64 1/3 (sqrt.f64 -3)) (+.f64 (.f64 -1/6 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (/.f64 (pow.f64 a 3) (sqrt.f64 -3)))) (+.f64 (.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (.f64 -1/6 (*.f64 (pow.f64 a 2) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(.f64 1/3 (.f64 (sqrt.f64 -3) rand))
(.f64 (sqrt.f64 -3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 a (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (.f64 (*.f64 (pow.f64 a 2) rand) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -3))))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (sqrt.f64 -3))))) (.f64 -1/6 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 a 3) rand) (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (sqrt.f64 -3)))) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (.f64 (*.f64 (pow.f64 a 2) rand) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -3) rand)) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (+.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (/.f64 (.f64 (pow.f64 a 3) rand) (sqrt.f64 -3))) (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -3)))))))
(+.f64 (.f64 -1/6 (+.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -3))) (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (/.f64 (.f64 (pow.f64 a 3) rand) (sqrt.f64 -3))))) (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (sqrt.f64 -3))))) (.f64 -1/6 (+.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -3))) (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -3))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 1 (-.f64 a 1/3)))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 -3) rand)) 1))
(.f64 -1/3 (+.f64 (.f64 (sqrt.f64 -3) (*.f64 1/3 rand)) 1))
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a
a
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(.f64 (/.f64 2 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9)))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2))
(.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)) (.f64 1/2 (/.f64 2 (sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 9 (.f64 (+.f64 -1/3 a) 9)))))))
(.f64 1/2 (.f64 (/.f64 2 (sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) 81)))) (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(.f64 1/2 (.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)) (/.f64 2 (sqrt.f64 (.f64 (+.f64 -1/3 a) (*.f64 81 (+.f64 -1/3 a)))))))
(.f64 1/4 (/.f64 4 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 1/4 (/.f64 4 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2) (/.f64 2 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9)))))
(.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)) (.f64 1/2 (/.f64 2 (sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 9 (.f64 (+.f64 -1/3 a) 9)))))))
(.f64 1/2 (.f64 (/.f64 2 (sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) 81)))) (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(.f64 1/2 (.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)) (/.f64 2 (sqrt.f64 (.f64 (+.f64 -1/3 a) (*.f64 81 (+.f64 -1/3 a)))))))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9)))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))
(.f64 (.f64 2 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))) (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 9 (.f64 (+.f64 -1/3 a) 9))))))
(.f64 2 (.f64 (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) 81)))) (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)) (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 -1/3 a) (*.f64 81 (+.f64 -1/3 a)))))))
(.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4) 4)
(.f64 4 (/.f64 1/4 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1)
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 0)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(+.f64 0 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(+.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1/2) (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1/2))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(-.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 0)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 1 rand))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 rand (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 -1 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (neg.f64 rand)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (/.f64 2 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 2 rand))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 4 (.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (+.f64 rand rand) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand)) 2)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (.f64 rand 4) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 -2 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 -2 (+.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (neg.f64 rand)) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (neg.f64 rand))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)) (neg.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (/.f64 4 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (+.f64 (/.f64 2 rand) (/.f64 2 rand)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 8 (.f64 2 (.f64 4 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 8 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8) rand))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (.f64 rand (/.f64 4 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 4)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 1/2 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 1/2 rand)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 -4 (+.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand))) (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 -4 (-.f64 0 (.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 16 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8) rand) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8) rand)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 16 (+.f64 (.f64 2 (.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))) (.f64 2 (.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (.f64 rand 8) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 8))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 8) 8)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (.f64 rand -2) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) -2))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)) (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)) (+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1/2) 1/2)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (/.f64 rand 2) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (/.f64 rand 2) (/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9))) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (.f64 2 (.f64 rand 8)) (.f64 2 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 8)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (.f64 2 (.f64 rand -2)) (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (.f64 2 (.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 8)) 16)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 -1/2 (-.f64 0 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 1/2 rand))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (neg.f64 (.f64 rand 8)) (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 8)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (/.f64 (.f64 rand 8) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 8)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (/.f64 rand (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) -1)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (/.f64 rand (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4)) 1/4)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (neg.f64 (.f64 rand 4)) (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)) (-.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (neg.f64 (.f64 rand -2)) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (+.f64 (/.f64 rand (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 rand (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) -2)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (+.f64 (/.f64 (.f64 rand 8) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 (.f64 rand 8) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 16)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (+.f64 (.f64 2 (.f64 rand -2)) (.f64 2 (.f64 rand -2))) (.f64 2 (.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 4)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 8)) (.f64 2 (.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 8))) 32)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (+.f64 (neg.f64 (.f64 rand 4)) (neg.f64 (.f64 rand 4))) (.f64 2 (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (+.f64 (neg.f64 (.f64 rand -2)) (neg.f64 (.f64 rand -2))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (neg.f64 (/.f64 rand 2)) (-.f64 0 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (neg.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (-.f64 0 (/.f64 1 rand)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (neg.f64 (/.f64 2 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (-.f64 0 (/.f64 2 rand)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (neg.f64 (.f64 2 (.f64 rand -2))) (-.f64 0 (.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4)))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (neg.f64 (neg.f64 (.f64 rand 4))) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (neg.f64 (neg.f64 (.f64 rand 4))) (-.f64 0 (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (neg.f64 (neg.f64 (.f64 rand -2))) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) -2))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(+.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 0)
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 0 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 (.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (+.f64 a -1/3) 1/2)) (.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (+.f64 a -1/3) 1/2)))
(+.f64 (.f64 (+.f64 -1/3 a) (.f64 1/2 (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))) (.f64 (+.f64 -1/3 a) (.f64 1/2 (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))))
(.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))) (+.f64 (.f64 1/2 (+.f64 -1/3 a)) (.f64 1/2 (+.f64 -1/3 a))))
(.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))) (*.f64 (+.f64 -1/3 a) 1))
(-.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 0)
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 1)
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (/.f64 2 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))) 2)
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(/.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 4)) 4)
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(/.f64 (.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) 8) 8)
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(/.f64 (.f64 2 (.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 8)) 16)
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 8)) (.f64 2 (.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 8))) 32)
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(pow.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 1)
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))

eval292.0ms (1.4%)

Compiler: Compiled 5750 to 4885 computations (15% saved)

prune113.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	211	10	221
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	212	10	222

Error

0.0b

Counts

222 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.5b	(-.f64 a 1/3)
▶	0.1b	(+.f64 a (-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3)) 1/3))
▶	0.1b	(+.f64 a (-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 1/3))
	14.8b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand)))))
	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
▶	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
	44.7b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
▶	44.7b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
	44.7b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	19.5b	a

Compiler

Compiled 265 to 212 computations (20% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 1/3))
✓	0.0b	(-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 1/3)
✓	0.3b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
✓	0.4b	(*.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))

Compiler

Compiled 48 to 36 computations (25% saved)

series7.0ms (0%)

Counts

4 → 54

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
1.0ms	rand	@	0	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
1.0ms	a	@	inf	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
1.0ms	a	@	-inf	(*.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))
1.0ms	rand	@	inf	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))

rewrite203.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

2656×	`rational.json-simplify-2`
1550×	`rational.json-simplify-53`
1352×	`rational.json-simplify-35`
1208×	`rational.json-1`
1208×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	104
1	79	104
2	164	104
3	342	104
4	651	104
5	1556	104
6	3135	104
7	4569	104
8	5934	104
9	6617	104
10	6617	104
11	7653	104

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

Inputs
(*.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 1/3)
(+.f64 a (-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 1/3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/6) (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 4/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 8/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 8/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 8/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 8/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 8/3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2) (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)) (+.f64 -1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (+.f64 a -1/3) 1/2) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (+.f64 a (+.f64 a -2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (+.f64 a -1/3) 1/2) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 a (+.f64 a -2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) (+.f64 a a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))))

simplify528.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2400×	`rational.json-simplify-2`
2280×	`rational.json-simplify-35`
1728×	`rational.json-simplify-53`
1512×	`rational.json-simplify-1`
1046×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	4138
1	492	4138
2	1105	4090
3	2588	4090
4	4113	4090
5	4523	4090
6	5104	4090
7	5496	4090
8	5821	4090
9	6025	4090
10	7211	4090
11	7237	4090
12	7592	4090
13	7592	4090
14	7592	4090
15	7858	4090

Stop Event

1×	node limit

Counts

130 → 163

Calls

Call 1

Inputs
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 1/3 (sqrt.f64 -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
-1/3
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) 1/3)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) 1/3)
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)
(+.f64 0 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/6) (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/6))
(-.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 0)
(/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2/3) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 4/3) 4)
(/.f64 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 8))))) 128)
(pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(+.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 4/3)) 4)
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 8/3)) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 8/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 8/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 8/3))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 8/3)))))) 128)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3)
(+.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 0)
(+.f64 0 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))
(+.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2) (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2))
(+.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)) (+.f64 -1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))))
(+.f64 (+.f64 -1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)))
(.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1)
(.f64 1 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))
(.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2))
(.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4))
(.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2))
(.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4))
(.f64 (/.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4) 4)
(/.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1)
(/.f64 (.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8))))) 128)
(pow.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1)
(-.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 0)
(.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(.f64 1 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 2 (+.f64 (.f64 (+.f64 a -1/3) 1/2) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))))
(.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4))
(.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2))
(.f64 1/2 (+.f64 (+.f64 a (+.f64 a -2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3))))
(.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) (+.f64 a a)))
(.f64 (+.f64 (.f64 (+.f64 a -1/3) 1/2) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))) 2)
(.f64 1/4 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4))
(.f64 (/.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4) 4)
(.f64 (+.f64 (+.f64 a (+.f64 a -2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3))) 1/2)
(.f64 (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) (+.f64 a a)) 1/2)
(/.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(/.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2) 2)
(/.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4) 4)
(/.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8))))) 128)
(pow.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)

Outputs
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))) (*.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))
(+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 1/3 (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))) (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (+.f64 (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))) (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))
(.f64 (sqrt.f64 -1/3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)) (.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)) (.f64 1/6 (.f64 a (/.f64 rand (sqrt.f64 -1/3)))))
(.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))
(.f64 (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))) rand)
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)) (+.f64 (.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)) (+.f64 (.f64 1/6 (.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/27)))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) (.f64 -1/24 (*.f64 (pow.f64 a 2) (/.f64 rand (sqrt.f64 -1/27)))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))) rand) (.f64 -1/24 (*.f64 (pow.f64 a 2) (/.f64 rand (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)) (+.f64 (.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/27))) (.f64 1/48 (.f64 rand (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 -1/3) rand)) (+.f64 (.f64 1/6 (.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/27))) (.f64 1/48 (.f64 (pow.f64 a 3) (/.f64 rand (sqrt.f64 -1/243)))))))
(+.f64 (.f64 1/6 (.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) (/.f64 rand (sqrt.f64 -1/243)))) (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))))
(+.f64 (.f64 1/6 (.f64 (/.f64 a (sqrt.f64 -1/3)) rand)) (+.f64 (.f64 1/48 (.f64 (pow.f64 a 3) (/.f64 rand (sqrt.f64 -1/243)))) (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))))
-1/3
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) 1/3)
(+.f64 -1/3 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) 1/3)
(+.f64 -1/3 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) 1/3)
(+.f64 -1/3 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand)) 1/3)
(+.f64 -1/3 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
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a
a
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(+.f64 -1/3 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8))) 32)
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3))
(+.f64 -1/3 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))))
(+.f64 -1/3 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8)))) 64)
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3))
(+.f64 -1/3 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))))
(+.f64 -1/3 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8))))) 128)
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3))
(+.f64 -1/3 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))))
(+.f64 -1/3 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(pow.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3))
(+.f64 -1/3 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))))
(+.f64 -1/3 (+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 a 1/3)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(-.f64 a 1/3)
0.0ms	a	@	0	(-.f64 a 1/3)
0.0ms	a	@	-inf	(-.f64 a 1/3)

rewrite271.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3666×	`rational.json-simplify-35`
1902×	`rational.json-simplify-2`
1186×	`rational.json-simplify-1`
1166×	`exponential.json-3`
1166×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	32	7
2	76	7
3	155	7
4	269	7
5	561	7
6	1288	7
7	2574	7
8	3724	7
9	4337	7
10	5104	7
11	5535	7
12	5535	7
13	5996	7
14	5996	7
15	6571	7
16	7441	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(-.f64 a 1/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a -1/3) 1/2) (*.f64 (+.f64 a -1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 1/2) (+.f64 -1/3 (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/3 (*.f64 a 1/2)) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 a -1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a (+.f64 a -2/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 a (+.f64 a -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 a -1/3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 a -1/3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a (+.f64 a -2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 a -1/3) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 a -1/3) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 a -1/3) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 a -1/3) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 a -1/3) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 a -1/3) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 a -1/3) 8)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 a -1/3) 8))))))))) 2048)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 a -1/3) 8))))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 a -1/3) 8)))))))))) 4096)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))))

simplify280.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

4790×	`rational.json-simplify-41`
2548×	`rational.json-simplify-51`
1530×	`rational.json-simplify-35`
1080×	`rational.json-simplify-2`
586×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	234
1	161	234
2	442	234
3	1505	234
4	2967	234
5	3707	234
6	3778	234
7	3821	234
8	3857	234
9	3893	234
10	3929	234
11	3965	234
12	4001	234
13	4037	234
14	4073	234
15	4109	234
16	4145	234
17	4181	234
18	4217	234
19	4253	234

Stop Event

1×	node limit

Counts

36 → 35

Calls

Call 1

Inputs
-1/3
a
a
(+.f64 a -1/3)
(+.f64 (+.f64 a -1/3) 0)
(+.f64 0 (+.f64 a -1/3))
(+.f64 -1/3 a)
(+.f64 (.f64 (+.f64 a -1/3) 1/2) (.f64 (+.f64 a -1/3) 1/2))
(+.f64 (.f64 a 1/2) (+.f64 -1/3 (.f64 a 1/2)))
(+.f64 (+.f64 -1/3 (.f64 a 1/2)) (.f64 a 1/2))
(*.f64 (+.f64 a -1/3) 1)
(*.f64 1 (+.f64 a -1/3))
(.f64 2 (.f64 (+.f64 a -1/3) 1/2))
(*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)
(.f64 4 (.f64 (+.f64 a -1/3) 1/4))
(.f64 (.f64 (+.f64 a -1/3) 4) 1/4)
(.f64 (.f64 (+.f64 a -1/3) 8) 1/8)
(*.f64 1/2 (+.f64 a (+.f64 a -2/3)))
(.f64 (.f64 (+.f64 a -1/3) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 a -1/3) 4))
(.f64 (.f64 (+.f64 a -1/3) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 a -1/3) 8))
(/.f64 (+.f64 a -1/3) 1)
(/.f64 (+.f64 a (+.f64 a -2/3)) 2)
(/.f64 (*.f64 (+.f64 a -1/3) 4) 4)
(/.f64 (*.f64 (+.f64 a -1/3) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 a -1/3) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 a -1/3) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 a -1/3) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 a -1/3) 8))))))) 512)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8)))))))) 1024)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 a -1/3) 8))))))))) 2048)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8))))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8)))))))))) 4096)
(pow.f64 (+.f64 a -1/3) 1)

Outputs
-1/3
a
a
(+.f64 a -1/3)
(+.f64 -1/3 a)
(+.f64 (+.f64 a -1/3) 0)
(+.f64 -1/3 a)
(+.f64 0 (+.f64 a -1/3))
(+.f64 -1/3 a)
(+.f64 -1/3 a)
(+.f64 (.f64 (+.f64 a -1/3) 1/2) (.f64 (+.f64 a -1/3) 1/2))
(+.f64 -1/3 a)
(+.f64 (.f64 a 1/2) (+.f64 -1/3 (.f64 a 1/2)))
(+.f64 -1/3 a)
(+.f64 (+.f64 -1/3 (.f64 a 1/2)) (.f64 a 1/2))
(+.f64 -1/3 a)
(*.f64 (+.f64 a -1/3) 1)
(+.f64 -1/3 a)
(*.f64 1 (+.f64 a -1/3))
(+.f64 -1/3 a)
(.f64 2 (.f64 (+.f64 a -1/3) 1/2))
(+.f64 -1/3 a)
(*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)
(+.f64 -1/3 a)
(.f64 4 (.f64 (+.f64 a -1/3) 1/4))
(+.f64 -1/3 a)
(.f64 (.f64 (+.f64 a -1/3) 4) 1/4)
(+.f64 -1/3 a)
(.f64 (.f64 (+.f64 a -1/3) 8) 1/8)
(+.f64 -1/3 a)
(*.f64 1/2 (+.f64 a (+.f64 a -2/3)))
(+.f64 -1/3 a)
(.f64 (.f64 (+.f64 a -1/3) 1/2) 2)
(+.f64 -1/3 a)
(.f64 1/4 (.f64 (+.f64 a -1/3) 4))
(+.f64 -1/3 a)
(.f64 (.f64 (+.f64 a -1/3) 1/4) 4)
(+.f64 -1/3 a)
(.f64 1/8 (.f64 (+.f64 a -1/3) 8))
(+.f64 -1/3 a)
(/.f64 (+.f64 a -1/3) 1)
(+.f64 -1/3 a)
(/.f64 (+.f64 a (+.f64 a -2/3)) 2)
(+.f64 -1/3 a)
(/.f64 (*.f64 (+.f64 a -1/3) 4) 4)
(+.f64 -1/3 a)
(/.f64 (*.f64 (+.f64 a -1/3) 8) 8)
(+.f64 -1/3 a)
(/.f64 (.f64 2 (.f64 (+.f64 a -1/3) 8)) 16)
(+.f64 -1/3 a)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 a -1/3) 8))) 32)
(+.f64 -1/3 a)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8)))) 64)
(+.f64 -1/3 a)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 a -1/3) 8))))) 128)
(+.f64 -1/3 a)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8)))))) 256)
(+.f64 -1/3 a)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 a -1/3) 8))))))) 512)
(+.f64 -1/3 a)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8)))))))) 1024)
(+.f64 -1/3 a)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 a -1/3) 8))))))))) 2048)
(+.f64 -1/3 a)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8))))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8)))))))))) 4096)
(+.f64 -1/3 a)
(pow.f64 (+.f64 a -1/3) 1)
(+.f64 -1/3 a)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 a 1/3))
	0.0b	(-.f64 a 1/3)
	0.3b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
	0.4b	(*.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(sqrt.f64 (-.f64 a 1/3))
0.0ms	a	@	0	(sqrt.f64 (-.f64 a 1/3))
0.0ms	a	@	inf	(sqrt.f64 (-.f64 a 1/3))

rewrite270.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3204×	`rational.json-simplify-35`
1836×	`rational.json-simplify-2`
1194×	`exponential.json-3`
1194×	`rational.json-1`
1194×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	44	11
2	95	11
3	189	11
4	333	11
5	713	11
6	1675	11
7	2816	11
8	3424	11
9	4217	11
10	5078	11
11	5533	11
12	5533	11
13	5533	11
14	6610	11
15	7552	11

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 a 1/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 a -1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/2) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 a -1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8)))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8))))))))) 2048)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))))

simplify816.0ms (4%)

Algorithm

1×	egg-herbie

Rules

6158×	`rational.json-simplify-51`
2636×	`rational.json-simplify-35`
1926×	`rational.json-simplify-49`
1334×	`rational.json-simplify-1`
1006×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	489
1	189	489
2	522	489
3	1465	489
4	2489	489
5	3604	489
6	3701	489
7	3777	489
8	3829	489
9	3878	489
10	3925	489
11	4415	489
12	4475	489
13	4532	489
14	4576	489
15	4620	489
16	4664	489
17	4708	489
18	4752	489
19	4796	489
20	4840	489
21	4884	489
22	4928	489
23	4972	489
24	5016	489
25	5060	489
26	5104	489
27	5148	489
28	5148	489
29	5192	489
30	5236	489
31	5280	489
32	5324	489
33	5368	489
34	6694	489

Stop Event

1×	node limit

Counts

33 → 42

Calls

Call 1

Inputs
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(+.f64 0 (sqrt.f64 (+.f64 a -1/3)))
(+.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/2) (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/2))
(-.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(*.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/2))
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 1/2)
(.f64 4 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/4))
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 4) 1/4)
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8) 1/8)
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 2))
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 a -1/3)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/4) 4)
(.f64 1/8 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8))))))) 512)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8)))))))) 1024)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8)))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8))))))))) 2048)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)

Outputs
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (sqrt.f64 -1/3) (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))) (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))))
(+.f64 (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))) (*.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))
(+.f64 (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (sqrt.f64 -1/3) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 -1/3 a))
(+.f64 0 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(+.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/2) (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/2))
(sqrt.f64 (+.f64 -1/3 a))
(-.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/2))
(sqrt.f64 (+.f64 -1/3 a))
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 1/2)
(sqrt.f64 (+.f64 -1/3 a))
(.f64 4 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/4))
(sqrt.f64 (+.f64 -1/3 a))
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 4) 1/4)
(sqrt.f64 (+.f64 -1/3 a))
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8) 1/8)
(sqrt.f64 (+.f64 -1/3 a))
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 2))
(sqrt.f64 (+.f64 -1/3 a))
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/2) 2)
(sqrt.f64 (+.f64 -1/3 a))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 a -1/3)) 4))
(sqrt.f64 (+.f64 -1/3 a))
(.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) 1/4) 4)
(sqrt.f64 (+.f64 -1/3 a))
(.f64 1/8 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8))
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 2) 2)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 4) 4)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8) 8)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8)) 16)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8))) 32)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8)))) 64)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8))))) 128)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8)))))) 256)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8))))))) 512)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8)))))))) 1024)
(sqrt.f64 (+.f64 -1/3 a))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8)))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 a -1/3)) 8))))))))) 2048)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3)) 1/3))
✓	0.0b	(-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3)) 1/3)
✓	0.3b	(*.f64 rand 1/3)
✓	0.4b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))

Compiler

Compiled 45 to 33 computations (26.7% saved)

series3.0ms (0%)

Counts

4 → 62

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
0.0ms	rand	@	-inf	(*.f64 rand 1/3)
0.0ms	rand	@	inf	(*.f64 rand 1/3)
0.0ms	a	@	-inf	(-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3)) 1/3)
0.0ms	rand	@	0	(*.f64 rand 1/3)

rewrite249.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2710×	`rational.json-simplify-2`
1632×	`rational.json-simplify-53`
1332×	`rational.json-simplify-35`
1216×	`rational.json-1`
1216×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	94
1	79	94
2	164	94
3	342	94
4	651	94
5	1562	94
6	3145	94
7	4589	94
8	5995	94
9	6657	94
10	6657	94
11	7719	94

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(*.f64 rand 1/3)
(-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3)) 1/3)
(+.f64 a (-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3)) 1/3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 4/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (.f64 (sqrt.f64 (+.f64 a -1/3)) 8/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 rand (.f64 (sqrt.f64 (+.f64 a -1/3)) 8/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 rand (.f64 (sqrt.f64 (+.f64 a -1/3)) 8/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 rand (.f64 (sqrt.f64 (+.f64 a -1/3)) 8/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 rand (.f64 (sqrt.f64 (+.f64 a -1/3)) 8/3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 rand 1/6) (.f64 rand 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/3 rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 rand 4) 2/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 rand 4) 2/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 rand 4) 2/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 rand 4) 2/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 rand 4) 2/3))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 rand) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2) (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)) (+.f64 -1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (+.f64 a -1/3) 1/2) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (+.f64 a (+.f64 a -2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (+.f64 a -1/3) 1/2) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) (+.f64 a a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 a (+.f64 a -2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))))

simplify439.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2544×	`rational.json-simplify-51`
2380×	`rational.json-simplify-35`
1592×	`rational.json-simplify-53`
1084×	`rational.json-simplify-1`
1026×	`rational.json-simplify-2`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	200	3898
1	466	3898
2	1060	3850
3	2517	3850
4	3437	3850
5	3967	3850
6	4390	3850
7	4613	3850
8	4765	3820
9	6685	3820
10	7370	3820
11	7640	3820
12	7674	3820
13	7674	3820
14	7886	3820

Stop Event

1×	node limit

Counts

138 → 148

Calls

Call 1

Inputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) 1/3)
-1/3
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) 1/3)
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(+.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 4/3)) 4)
(/.f64 (.f64 rand (.f64 (sqrt.f64 (+.f64 a -1/3)) 8/3)) 8)
(/.f64 (.f64 2 (.f64 rand (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 rand (.f64 (sqrt.f64 (+.f64 a -1/3)) 8/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 rand (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8/3))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 rand (.f64 (sqrt.f64 (+.f64 a -1/3)) 8/3)))))) 128)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(+.f64 (*.f64 1/3 rand) 0)
(+.f64 0 (*.f64 1/3 rand))
(+.f64 (.f64 rand 1/6) (.f64 rand 1/6))
(-.f64 (*.f64 1/3 rand) 0)
(/.f64 (*.f64 1/3 rand) 1)
(/.f64 (*.f64 rand 2/3) 2)
(/.f64 (*.f64 rand 4/3) 4)
(/.f64 (.f64 (.f64 rand 4) 2/3) 8)
(/.f64 (.f64 2 (.f64 (*.f64 rand 4) 2/3)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 rand 4) 2/3))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 rand 4) 2/3)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 rand 4) 2/3))))) 128)
(pow.f64 (*.f64 1/3 rand) 1)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3)
(+.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 0)
(+.f64 0 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))
(+.f64 -1/3 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2) (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2))
(+.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)) (+.f64 -1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))))
(+.f64 (+.f64 -1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)))
(.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1)
(.f64 1 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3))
(.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2))
(.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4))
(.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2))
(.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4))
(.f64 (/.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4) 4)
(/.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1)
(/.f64 (.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 8))))) 128)
(pow.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 1)
(-.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 0)
(.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(.f64 1 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(.f64 2 (+.f64 (.f64 (+.f64 a -1/3) 1/2) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))))
(.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4))
(.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2))
(.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) (+.f64 a a)))
(.f64 1/2 (+.f64 (+.f64 a (+.f64 a -2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3))))
(.f64 (+.f64 (.f64 (+.f64 a -1/3) 1/2) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6))) 2)
(.f64 1/4 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4))
(.f64 (/.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4) 4)
(.f64 (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1/3) 2) (+.f64 a a)) 1/2)
(.f64 (+.f64 (+.f64 a (+.f64 a -2/3)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3))) 1/2)
(/.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(/.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2) 2)
(/.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4) 4)
(/.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8))))) 128)
(pow.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)))
(.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))) (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)) (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) (.f64 rand (*.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(.f64 rand (+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))) (+.f64 (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))) (.f64 1/48 (.f64 rand (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)) (+.f64 (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))) (.f64 rand (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)) 1/48)))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) (+.f64 (.f64 rand (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))) (.f64 rand (*.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(+.f64 (.f64 rand (+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))) (.f64 rand (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3)))) 1/3)
(+.f64 (.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))) (-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3))
(+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)) (-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3))
(-.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))) 1/3)
(+.f64 (+.f64 (.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))) (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))) (-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3))
(+.f64 (+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)) (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))) (-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3))
(+.f64 (.f64 rand (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))) (-.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) 1/3))
(-.f64 (.f64 rand (+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) 1/3)
(+.f64 (+.f64 (.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))) (+.f64 (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))) (.f64 1/48 (.f64 rand (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))))) (-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (-.f64 (+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)) (+.f64 (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))) (.f64 rand (.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)) 1/48)))) 1/3))
(+.f64 (+.f64 (.f64 rand (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))) (.f64 rand (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))) (-.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) 1/3))
(+.f64 (+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) (.f64 rand (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))) (-.f64 (.f64 rand (*.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))) 1/3))
(+.f64 (.f64 rand (+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))) (-.f64 (.f64 rand (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))) 1/3))
-1/3
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3)
(-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) 1/3)
(-.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(+.f64 -1/3 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 -1/3 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3)
(-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) 1/3)
(-.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(+.f64 -1/3 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 -1/3 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3)
(-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) 1/3)
(-.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(+.f64 -1/3 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 -1/3 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3)
(-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) 1/3)
(-.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(+.f64 -1/3 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 -1/3 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3)
(-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) 1/3)
(-.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(+.f64 -1/3 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 -1/3 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3)
(-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) 1/3)
(-.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(+.f64 -1/3 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 -1/3 (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) 1/3)
(-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3)
(-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) 1/3)
(-.f64 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(+.f64 -1/3 (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
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a
a
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(+.f64 (+.f64 -1/3 a) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8) 8)
(+.f64 a (-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 (+.f64 -1/3 a) (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 (+.f64 -1/3 a) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8)) 16)
(+.f64 a (-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 (+.f64 -1/3 a) (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 (+.f64 -1/3 a) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8))) 32)
(+.f64 a (-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 (+.f64 -1/3 a) (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 (+.f64 -1/3 a) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8)))) 64)
(+.f64 a (-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 (+.f64 -1/3 a) (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 (+.f64 -1/3 a) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8))))) 128)
(+.f64 a (-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 (+.f64 -1/3 a) (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 (+.f64 -1/3 a) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(pow.f64 (+.f64 (+.f64 a -1/3) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(+.f64 a (-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)))
(+.f64 (+.f64 -1/3 a) (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 (+.f64 -1/3 a) (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
✓	0.1b	(sqrt.f64 (/.f64 1 (-.f64 a 1/3)))
✓	0.3b	(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
✓	0.4b	(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))

Compiler

Compiled 66 to 52 computations (21.2% saved)

series6.0ms (0%)

Counts

4 → 30

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
1.0ms	rand	@	-inf	(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
1.0ms	a	@	-inf	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
1.0ms	a	@	-inf	(sqrt.f64 (/.f64 1 (-.f64 a 1/3)))
0.0ms	a	@	-inf	(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)

rewrite169.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`rational.json-1`
1326×	`rational.json-2`
1326×	`rational.json-3`
1324×	`rational.json-4`
1320×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	116
1	109	116
2	241	116
3	481	116
4	976	116
5	2518	116
6	5996	116

Stop Event

1×	node limit

Counts

4 → 56

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(sqrt.f64 (/.f64 1 (-.f64 a 1/3)))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 1/6)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 4/3))) (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 4/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 1/2)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (+.f64 rand rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 4)))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1/2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4))) (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (.f64 (+.f64 a -1/3) 1/2)) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (.f64 (+.f64 a -1/3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))) 1)))))

simplify266.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2210×	`rational.json-simplify-2`
1832×	`rational.json-simplify-35`
1462×	`rational.json-simplify-53`
1154×	`rational.json-simplify-1`
682×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	3404
1	473	3392
2	1147	3356
3	2370	3356
4	4321	3356
5	4991	3356
6	5416	3356
7	5760	3356
8	5928	3356
9	6334	3356
10	7920	3356

Stop Event

1×	node limit

Counts

86 → 125

Calls

Call 1

Inputs
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(*.f64 rand (sqrt.f64 -3))
(+.f64 (.f64 rand (sqrt.f64 -3)) (.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 rand (sqrt.f64 -3)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (.f64 -9/2 (/.f64 (.f64 a rand) (sqrt.f64 -3)))))
(+.f64 (.f64 rand (sqrt.f64 -3)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -9/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))))))
(sqrt.f64 -3)
(+.f64 (*.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (*.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (sqrt.f64 -3))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) 0)
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 1/6)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 1/6)))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) 0)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) 1)
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 4/3) 4)
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 4/3)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 4/3))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 4/3))) (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 4/3)))) 32)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) 1)
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 0)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)))
(+.f64 0 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 1/2)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 1/2)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 0)
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1)
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (+.f64 rand rand)) 2)
(/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 4)) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 rand 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 4)))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 4))))) 32)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1)
(+.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 0)
(+.f64 0 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1/2) (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1/2))
(-.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 0)
(*.f64 1 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1)
(.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1/2))
(*.f64 4 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 2) 1/2)
(.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4) 1/4)
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 2))
(.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4))
(.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1/2) 2)
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4) 4)
(/.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1)
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 4)))) 32)
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1)
(+.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))) 0)
(+.f64 0 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))))
(+.f64 (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (.f64 (+.f64 a -1/3) 1/2)) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (.f64 (+.f64 a -1/3) 1/2)))
(-.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))) 0)
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))) 1)
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 rand 2/3)))) 2)
(/.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4))))) 32)
(pow.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))) 1)

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(.f64 (sqrt.f64 -3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (.f64 rand (/.f64 a (sqrt.f64 -3)))))
(.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 a (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (.f64 rand (/.f64 a (sqrt.f64 -3)))) (.f64 -1/6 (.f64 (*.f64 rand (pow.f64 a 2)) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (.f64 rand (/.f64 a (sqrt.f64 -3)))) (.f64 -1/6 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (*.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (sqrt.f64 -3))))) (.f64 -1/6 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -3))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (.f64 rand (/.f64 a (sqrt.f64 -3)))) (+.f64 (.f64 -1/6 (.f64 (.f64 rand (pow.f64 a 2)) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))) (.f64 -1/6 (.f64 (.f64 rand (pow.f64 a 3)) (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (sqrt.f64 -3)))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (.f64 rand (/.f64 a (sqrt.f64 -3)))) (.f64 -1/6 (+.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (/.f64 (.f64 rand (pow.f64 a 3)) (sqrt.f64 -3))) (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -3)))))))
(+.f64 (.f64 -1/6 (+.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -3)))) (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (.f64 rand (/.f64 (pow.f64 a 3) (sqrt.f64 -3)))))) (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (sqrt.f64 -3))))) (.f64 -1/6 (+.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -3)))) (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (*.f64 rand (/.f64 (pow.f64 a 3) (sqrt.f64 -3)))))))
(*.f64 rand (sqrt.f64 -3))
(+.f64 (.f64 rand (sqrt.f64 -3)) (.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 rand (sqrt.f64 -3)) (.f64 (*.f64 rand (/.f64 a (sqrt.f64 -3))) -9/2))
(.f64 rand (+.f64 (sqrt.f64 -3) (.f64 -9/2 (/.f64 a (sqrt.f64 -3)))))
(+.f64 (.f64 rand (sqrt.f64 -3)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (.f64 -9/2 (/.f64 (.f64 a rand) (sqrt.f64 -3)))))
(+.f64 (.f64 rand (sqrt.f64 -3)) (+.f64 (.f64 (.f64 rand (/.f64 a (sqrt.f64 -3))) -9/2) (.f64 (.f64 (.f64 rand (pow.f64 a 2)) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))) -1/2)))
(+.f64 (.f64 rand (sqrt.f64 -3)) (+.f64 (.f64 (.f64 rand (/.f64 a (sqrt.f64 -3))) -9/2) (.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))) -1/2)))
(+.f64 (.f64 rand (+.f64 (sqrt.f64 -3) (.f64 -9/2 (/.f64 a (sqrt.f64 -3))))) (.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -3)))) -1/2))
(+.f64 (.f64 rand (sqrt.f64 -3)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -9/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))))))
(+.f64 (.f64 rand (sqrt.f64 -3)) (+.f64 (.f64 (.f64 rand (/.f64 a (sqrt.f64 -3))) -9/2) (+.f64 (.f64 (.f64 (.f64 rand (pow.f64 a 3)) (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (sqrt.f64 -3))) -1/2) (.f64 (.f64 (.f64 rand (pow.f64 a 2)) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))) -1/2))))
(+.f64 (.f64 rand (sqrt.f64 -3)) (+.f64 (.f64 (.f64 rand (/.f64 a (sqrt.f64 -3))) -9/2) (.f64 -1/2 (+.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (.f64 rand (pow.f64 a 2)) (sqrt.f64 -3))) (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (/.f64 (*.f64 rand (pow.f64 a 3)) (sqrt.f64 -3)))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -3)))) (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (.f64 rand (/.f64 (pow.f64 a 3) (sqrt.f64 -3)))))) (.f64 rand (+.f64 (sqrt.f64 -3) (.f64 -9/2 (/.f64 a (sqrt.f64 -3))))))
(+.f64 (.f64 rand (+.f64 (sqrt.f64 -3) (.f64 -9/2 (/.f64 a (sqrt.f64 -3))))) (.f64 -1/2 (+.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -3)))) (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (.f64 rand (/.f64 (pow.f64 a 3) (sqrt.f64 -3)))))))
(sqrt.f64 -3)
(+.f64 (*.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (sqrt.f64 -3) (*.f64 -9/2 (/.f64 a (sqrt.f64 -3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (*.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(+.f64 (+.f64 (sqrt.f64 -3) (.f64 -9/2 (/.f64 a (sqrt.f64 -3)))) (.f64 -1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))))
(+.f64 (+.f64 (sqrt.f64 -3) (.f64 -9/2 (/.f64 a (sqrt.f64 -3)))) (.f64 -1/2 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (pow.f64 a 2) (sqrt.f64 -3)))))
(+.f64 (.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (.f64 -1/2 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (pow.f64 a 2) (sqrt.f64 -3))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (sqrt.f64 -3))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (+.f64 (.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (.f64 -1/2 (.f64 (pow.f64 a 3) (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (sqrt.f64 -3)))))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (pow.f64 a 2) (sqrt.f64 -3)))) (+.f64 (sqrt.f64 -3) (+.f64 (.f64 (pow.f64 a 3) (.f64 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (sqrt.f64 -3)) -1/2)) (.f64 -9/2 (/.f64 a (sqrt.f64 -3))))))
(+.f64 (sqrt.f64 -3) (+.f64 (+.f64 (.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (.f64 -1/2 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (pow.f64 a 2) (sqrt.f64 -3))))) (.f64 (pow.f64 a 3) (.f64 -1/2 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (sqrt.f64 -3))))))
(+.f64 (sqrt.f64 -3) (+.f64 (.f64 (pow.f64 a 3) (.f64 -1/2 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (sqrt.f64 -3)))) (+.f64 (.f64 -9/2 (/.f64 a (sqrt.f64 -3))) (.f64 -1/2 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (pow.f64 a 2) (sqrt.f64 -3)))))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(.f64 -1/3 (+.f64 (.f64 (sqrt.f64 -3) (*.f64 1/3 rand)) 1))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))))
(+.f64 (.f64 -1/3 (+.f64 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)) 1)) (.f64 a (+.f64 1 (+.f64 (.f64 (sqrt.f64 -3) (.f64 1/3 rand)) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (.f64 rand (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))) (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3))))))))
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a
a
(-.f64 a 1/3)
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(sqrt.f64 (/.f64 1 (+.f64 a -1/3)))
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(sqrt.f64 (/.f64 1 (+.f64 a -1/3)))
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(sqrt.f64 (/.f64 1 (+.f64 a -1/3)))
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(-.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))) 0)
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(/.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))) 1)
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 rand 2/3)))) 2)
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))
(/.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4)) 4)
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))
(/.f64 (.f64 2 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4))) 8)
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4)))) 16)
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) 4))))) 32)
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))
(pow.f64 (.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))) 1)
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))
(.f64 (+.f64 a -1/3) (+.f64 1 (.f64 rand (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))

eval294.0ms (1.4%)

Compiler: Compiled 12728 to 10616 computations (16.6% saved)

prune229.0ms (1.1%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	603	3	606
Fresh	0	5	5
Picked	0	1	1
Done	0	4	4
Total	603	13	616

Error

0.0b

Counts

616 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.5b	(-.f64 a 1/3)
✓	0.1b	(+.f64 a (-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3)) 1/3))
✓	0.1b	(+.f64 a (-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 1/3))
	14.8b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand)))))
▶	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
▶	44.7b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
▶	44.7b	(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2))))
✓	44.7b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
▶	45.1b	(.f64 rand (.f64 1/3 (sqrt.f64 a)))
▶	44.7b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	19.5b	a
	63.1b	-1/3

Compiler

Compiled 251 to 200 computations (20.3% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 a -1/3) 9)
✓	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
✓	0.3b	(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
✓	0.4b	(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))

Compiler

Compiled 57 to 44 computations (22.8% saved)

series5.0ms (0%)

Counts

4 → 50

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
0.0ms	a	@	-inf	(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
0.0ms	a	@	inf	(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
0.0ms	a	@	0	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
0.0ms	a	@	-inf	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`rational.json-1`
1492×	`rational.json-2`
1492×	`rational.json-4`
1492×	`rational.json-3`
1484×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	94
1	116	94
2	237	94
3	495	94
4	1144	94
5	4186	94

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(*.f64 (+.f64 a -1/3) 9)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 (neg.f64 rand) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (/.f64 1 rand) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 rand (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 rand (.f64 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 rand (.f64 (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (+.f64 rand rand) (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 rand rand) (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand 4) (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand 4) (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand 4) (.f64 1/4 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand 4) (.f64 1/2 (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 rand (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 rand) (/.f64 -1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 rand) (.f64 (/.f64 -1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 1 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 2 (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)) (/.f64 1 (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)) (/.f64 1/2 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 rand 4) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand 8) (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 rand (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (+.f64 rand rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand -2) (/.f64 1/2 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand -2) (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand -2) (/.f64 1 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 rand 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 1/2 rand)) (/.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 rand) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 rand 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 rand) (/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4)) (.f64 rand 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 (.f64 rand 4) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand 1/2) (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (neg.f64 rand)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 rand rand) (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 a -1/3) (+.f64 1/2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (.f64 (+.f64 a -1/3) (+.f64 1/2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1) (+.f64 a (+.f64 a -2/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a -1/3) (+.f64 4 (/.f64 (.f64 rand 4) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 a -1/3) (+.f64 4 (/.f64 (.f64 rand 4) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) (+.f64 4 (/.f64 (.f64 rand 4) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 a -1/3) 9) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 a -1/3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 a -1/3) 9/2) (.f64 (+.f64 a -1/3) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 a -1/3) 9) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a -1/3) 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a -1/3) 18) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a -1/3) 36) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 a -1/3) 36)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 36))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 a -1/3) 9) 1)))))

simplify197.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational.json-simplify-51`
1186×	`rational.json-simplify-2`
1022×	`rational.json-simplify-1`
916×	`rational.json-simplify-55`
528×	`rational.json-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	314	5337
1	728	5295
2	2577	4907
3	4317	4853
4	7470	4853

Stop Event

1×	node limit

Counts

163 → 197

Calls

Call 1

Inputs
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
-3
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(+.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 0)
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(+.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2))
(-.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1)
(.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2) 1/2)
(.f64 2 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 1/2))
(.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4) 1/4)
(.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1)
(.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 8) 1/8)
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2))
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4))
(.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 1/2) 2)
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 1)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 -1 (/.f64 -1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2) 2)
(/.f64 2 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(/.f64 2 (/.f64 2 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4) 4)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) -1)
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8) 8)
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) -2) -2)
(/.f64 1/2 (/.f64 1/2 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2)) -2)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 8)) 16)
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) -2)) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 0)
(+.f64 0 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(+.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(-.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 0)
(-.f64 0 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(-.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 (neg.f64 rand) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2)))
(-.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 2))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (/.f64 1 rand) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand))))
(.f64 rand (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 rand (.f64 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 1/2))
(.f64 rand (.f64 (/.f64 2 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1/2))
(.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)
(.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 -1 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 -1 (.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1))
(.f64 -1 (/.f64 (+.f64 rand rand) (neg.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2))))
(.f64 (+.f64 rand rand) (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(.f64 (.f64 rand (/.f64 2 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 1/2)
(.f64 (.f64 rand 4) (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4)))
(.f64 (.f64 rand 4) (.f64 (/.f64 1 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4)) 1))
(.f64 (.f64 rand 4) (.f64 1/4 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(.f64 (.f64 rand 4) (.f64 1/2 (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(.f64 4 (/.f64 rand (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4)))
(.f64 4 (/.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) rand)
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (/.f64 1 rand)))
(.f64 (neg.f64 rand) (/.f64 -1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 (neg.f64 rand) (.f64 (/.f64 -1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 1 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 2 (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))))
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)) (/.f64 1 (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand)))))
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)) (/.f64 1/2 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(.f64 (/.f64 (.f64 rand 4) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1/4)
(.f64 (.f64 rand 8) (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 8)))
(.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand))))
(.f64 1/2 (.f64 rand (/.f64 2 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (+.f64 rand rand))
(.f64 (.f64 rand -2) (/.f64 1/2 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(.f64 (.f64 rand -2) (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) -2)))
(.f64 (.f64 rand -2) (/.f64 1 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 rand 1/2))
(.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1)
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 1/2 rand)) (/.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(.f64 (/.f64 1/2 rand) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 2)
(.f64 (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (*.f64 rand 1/2))
(.f64 (/.f64 -1 rand) (/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4)) (.f64 rand 4))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (neg.f64 rand))
(.f64 1/4 (/.f64 (.f64 rand 4) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(.f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))))
(.f64 (.f64 rand 1/2) (/.f64 2 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1)
(neg.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (neg.f64 rand)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(neg.f64 (/.f64 (+.f64 rand rand) (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))))
(+.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(+.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) 0)
(+.f64 0 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)))
(+.f64 (.f64 (+.f64 a -1/3) (+.f64 1/2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (.f64 (+.f64 a -1/3) (+.f64 1/2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))
(-.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) 0)
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) 1)
(/.f64 (.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1) (+.f64 a (+.f64 a -2/3))) 2)
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 4 (/.f64 (.f64 rand 4) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) 4)
(/.f64 (.f64 2 (.f64 (+.f64 a -1/3) (+.f64 4 (/.f64 (.f64 rand 4) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) (+.f64 4 (/.f64 (.f64 rand 4) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))) 16)
(pow.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) 1)
(+.f64 (*.f64 (+.f64 a -1/3) 9) 0)
(+.f64 0 (*.f64 (+.f64 a -1/3) 9))
(+.f64 (.f64 (+.f64 a -1/3) 9/2) (.f64 (+.f64 a -1/3) 9/2))
(-.f64 (*.f64 (+.f64 a -1/3) 9) 0)
(/.f64 (*.f64 (+.f64 a -1/3) 9) 1)
(/.f64 (*.f64 (+.f64 a -1/3) 18) 2)
(/.f64 (*.f64 (+.f64 a -1/3) 36) 4)
(/.f64 (.f64 2 (.f64 (+.f64 a -1/3) 36)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 a -1/3) 36))) 16)
(pow.f64 (*.f64 (+.f64 a -1/3) 9) 1)

Outputs
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))
(+.f64 (.f64 3 (sqrt.f64 -1/3)) (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (+.f64 (.f64 3 (sqrt.f64 -1/3)) (.f64 3/2 (/.f64 a (sqrt.f64 -1/3)))) (*.f64 -3/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))
(+.f64 (.f64 3 (sqrt.f64 -1/3)) (+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 3 (sqrt.f64 -1/3)) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -3/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (.f64 3 (sqrt.f64 -1/3)) (.f64 3/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (+.f64 (.f64 3 (sqrt.f64 -1/3)) (.f64 3/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))) (.f64 -3/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 3 (sqrt.f64 -1/3)) (+.f64 (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))) (.f64 -3/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(+.f64 (.f64 3 (sqrt.f64 -1/3)) (+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (.f64 rand (/.f64 a (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (.f64 a (/.f64 rand (sqrt.f64 -3)))))
(.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 a (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (.f64 rand (/.f64 a (sqrt.f64 -3)))) (.f64 -1/6 (.f64 (*.f64 (pow.f64 a 2) rand) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (.f64 a (/.f64 rand (sqrt.f64 -3)))) (.f64 -1/6 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -3))))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (sqrt.f64 -3))))) (.f64 -1/6 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (+.f64 (.f64 -3/2 (.f64 rand (/.f64 a (sqrt.f64 -3)))) (.f64 -1/6 (.f64 (.f64 (pow.f64 a 2) rand) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))) (.f64 -1/6 (/.f64 (.f64 (pow.f64 a 3) (.f64 rand (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))))) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (.f64 a (/.f64 rand (sqrt.f64 -3)))) (.f64 -1/6 (+.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (/.f64 (.f64 (pow.f64 a 3) rand) (sqrt.f64 -3))) (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -3)))))))
(+.f64 (.f64 -1/6 (+.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -3))) (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (/.f64 (.f64 (pow.f64 a 3) rand) (sqrt.f64 -3))))) (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (.f64 -3/2 (/.f64 a (sqrt.f64 -3))))) (.f64 -1/6 (+.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (.f64 (pow.f64 a 2) rand) (sqrt.f64 -3))) (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -3))))))
(.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(.f64 -1/3 (+.f64 1 (.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 -1/3 (+.f64 (.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 rand (sqrt.f64 -3))))) (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))))
(+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 rand (sqrt.f64 -3))))) (.f64 a (+.f64 1 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 rand (sqrt.f64 -3))))) (.f64 (pow.f64 a 2) (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (*.f64 rand (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))))))
(+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 rand (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 (pow.f64 a 2) (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 rand (sqrt.f64 -3))))))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) 1)) (.f64 (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(+.f64 (.f64 a (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 1 (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 rand (sqrt.f64 -3))))) (.f64 (pow.f64 a 2) (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (.f64 rand (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))))) (.f64 (pow.f64 a 3) (+.f64 (.f64 1/18 (/.f64 (.f64 rand (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3)))) (sqrt.f64 -3))) (.f64 -1/6 (*.f64 rand (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))))))
(+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 rand (sqrt.f64 -3))))) (+.f64 (+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 (pow.f64 a 2) (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 rand (sqrt.f64 -3))))))) (.f64 (pow.f64 a 3) (+.f64 (.f64 rand (.f64 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (sqrt.f64 -3)) 1/18)) (.f64 rand (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) -1/6))))))
(+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 rand (sqrt.f64 -3))))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 rand (.f64 1/18 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (sqrt.f64 -3)))) (.f64 rand (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))) (+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 (pow.f64 a 2) (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 rand (sqrt.f64 -3)))))))))
(+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 rand (sqrt.f64 -3))))) (+.f64 (.f64 (pow.f64 a 3) (.f64 rand (+.f64 (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))) (.f64 1/18 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (sqrt.f64 -3)))))) (+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 (pow.f64 a 2) (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 rand (sqrt.f64 -3)))))))))
(+.f64 (.f64 -1/3 (+.f64 1 (.f64 1/3 (.f64 rand (sqrt.f64 -3))))) (+.f64 (.f64 (pow.f64 a 3) (.f64 rand (+.f64 (.f64 1/18 (/.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 3))) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))) (+.f64 (.f64 a (+.f64 1 (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (.f64 (pow.f64 a 2) (+.f64 (.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (.f64 1/18 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 rand (sqrt.f64 -3)))))))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) (-.f64 a 1/3))
(+.f64 a (-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3)))) 1/3))
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(.f64 (.f64 rand -2) (/.f64 1 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))))
(.f64 (.f64 rand -2) (/.f64 1/2 (neg.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))))
(.f64 (.f64 rand -2) (/.f64 -1/2 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))
(.f64 (/.f64 -1/2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (*.f64 rand -2))
(.f64 -2 (/.f64 (/.f64 rand -2) (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 rand 1/2))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))
(.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) -1)
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 1/2 rand)) (/.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(.f64 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (/.f64 1/2 rand)) (/.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand))))
(.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 (/.f64 1/2 rand) (/.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand)))))
(.f64 2 (.f64 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)) (/.f64 1/2 rand)))
(.f64 (.f64 2 (/.f64 1/2 rand)) (/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)))
(.f64 (/.f64 1/2 rand) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(.f64 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (/.f64 1/2 rand)) (/.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand))))
(.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 (/.f64 1/2 rand) (/.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand)))))
(.f64 2 (.f64 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)) (/.f64 1/2 rand)))
(.f64 (.f64 2 (/.f64 1/2 rand)) (/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)))
(.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 2)
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (*.f64 rand 1/2))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))
(.f64 (/.f64 -1 rand) (/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand))))
(.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))))
(.f64 (/.f64 1 rand) (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (/.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))))))
(/.f64 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)) rand)
(.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4)) (.f64 rand 4))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (neg.f64 rand))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))
(.f64 1/4 (/.f64 (.f64 rand 4) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))
(.f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand)))))
(.f64 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (/.f64 2 rand)) (/.f64 1/2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand))))
(.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 (/.f64 2 rand) (/.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (/.f64 2 rand)))))
(.f64 (/.f64 2 rand) (.f64 1/2 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))))
(.f64 (.f64 rand 1/2) (/.f64 2 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))
(pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1)
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))
(neg.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (neg.f64 rand)) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand))))
(.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))))
(.f64 (/.f64 1 rand) (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (/.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))))))
(/.f64 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)) rand)
(neg.f64 (/.f64 (+.f64 rand rand) (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))
(+.f64 (+.f64 a -1/3) (.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(+.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(+.f64 a (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(+.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) 0)
(+.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(+.f64 a (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(+.f64 0 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)))
(+.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(+.f64 a (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(+.f64 (.f64 (+.f64 a -1/3) (+.f64 1/2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (.f64 (+.f64 a -1/3) (+.f64 1/2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))
(+.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(+.f64 a (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(-.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) 0)
(+.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(+.f64 a (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) 1)
(+.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(+.f64 a (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(/.f64 (.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1) (+.f64 a (+.f64 a -2/3))) 2)
(+.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(+.f64 a (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 4 (/.f64 (.f64 rand 4) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) 4)
(.f64 (+.f64 4 (.f64 4 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))) (/.f64 (+.f64 -1/3 a) 4))
(.f64 (+.f64 -1/3 a) (/.f64 (+.f64 4 (.f64 rand (/.f64 4 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))) 4))
(/.f64 (.f64 2 (.f64 (+.f64 a -1/3) (+.f64 4 (/.f64 (.f64 rand 4) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))) 8)
(.f64 (+.f64 4 (.f64 4 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))) (/.f64 (+.f64 -1/3 a) 4))
(.f64 (+.f64 -1/3 a) (/.f64 (+.f64 4 (.f64 rand (/.f64 4 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))) 4))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) (+.f64 4 (/.f64 (.f64 rand 4) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))) 16)
(.f64 (+.f64 4 (.f64 4 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))) (/.f64 (+.f64 -1/3 a) 4))
(.f64 (+.f64 -1/3 a) (/.f64 (+.f64 4 (.f64 rand (/.f64 4 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))) 4))
(pow.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) 1)
(+.f64 (+.f64 -1/3 a) (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(+.f64 a (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(+.f64 (*.f64 (+.f64 a -1/3) 9) 0)
(*.f64 9 (+.f64 -1/3 a))
(+.f64 0 (*.f64 (+.f64 a -1/3) 9))
(*.f64 9 (+.f64 -1/3 a))
(+.f64 (.f64 (+.f64 a -1/3) 9/2) (.f64 (+.f64 a -1/3) 9/2))
(*.f64 9 (+.f64 -1/3 a))
(-.f64 (*.f64 (+.f64 a -1/3) 9) 0)
(*.f64 9 (+.f64 -1/3 a))
(/.f64 (*.f64 (+.f64 a -1/3) 9) 1)
(*.f64 9 (+.f64 -1/3 a))
(/.f64 (*.f64 (+.f64 a -1/3) 18) 2)
(*.f64 9 (+.f64 -1/3 a))
(/.f64 (*.f64 (+.f64 a -1/3) 36) 4)
(*.f64 9 (+.f64 -1/3 a))
(/.f64 (.f64 2 (.f64 (+.f64 a -1/3) 36)) 8)
(*.f64 9 (+.f64 -1/3 a))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 a -1/3) 36))) 16)
(*.f64 9 (+.f64 -1/3 a))
(pow.f64 (*.f64 (+.f64 a -1/3) 9) 1)
(*.f64 9 (+.f64 -1/3 a))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 rand (.f64 1/3 (sqrt.f64 a)))
✓	0.4b	(*.f64 1/3 (sqrt.f64 a))

Compiler

Compiled 17 to 9 computations (47.1% saved)

series65.0ms (0.3%)

Counts

2 → 12

Calls

9 calls:

Time	Variable		Point	Expression
62.0ms	rand	@	inf	(.f64 rand (.f64 1/3 (sqrt.f64 a)))
1.0ms	rand	@	0	(.f64 rand (.f64 1/3 (sqrt.f64 a)))
0.0ms	a	@	-inf	(.f64 rand (.f64 1/3 (sqrt.f64 a)))
0.0ms	a	@	0	(*.f64 1/3 (sqrt.f64 a))
0.0ms	a	@	0	(.f64 rand (.f64 1/3 (sqrt.f64 a)))

rewrite171.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2772×	`rational.json-simplify-2`
1540×	`rational.json-simplify-35`
1214×	`exponential.json-3`
1214×	`rational.json-1`
1214×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	60	28
2	133	28
3	273	28
4	498	28
5	1141	28
6	2334	28
7	3839	28
8	4827	28
9	5901	28
10	6791	28
11	6791	28

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(*.f64 1/3 (sqrt.f64 a))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (sqrt.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 a) 1/6) (*.f64 (sqrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (sqrt.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 (sqrt.f64 a)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 1/3 (sqrt.f64 a)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/3 (sqrt.f64 a)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/3 (sqrt.f64 a)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/3 (sqrt.f64 a)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/3 (sqrt.f64 a)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (sqrt.f64 a)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/6)) (*.f64 (sqrt.f64 a) (*.f64 rand 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 4/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 8/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 a) (*.f64 rand 8/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 a) (*.f64 rand 8/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 a) (*.f64 rand 8/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 a) (*.f64 rand 8/3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 a) (*.f64 rand 8/3))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1)))))

simplify414.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2488×	`rational.json-simplify-35`
2474×	`rational.json-simplify-2`
1472×	`rational.json-simplify-1`
1050×	`exponential.json-simplify-26`
1050×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	596
1	190	596
2	405	596
3	1250	596
4	2791	596
5	4324	596
6	5342	596
7	5569	596
8	5678	596
9	5788	596
10	6794	596
11	7395	596
12	7870	596
13	7875	596
14	7881	596
15	7881	596
16	7990	596

Stop Event

1×	node limit

Counts

40 → 30

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(+.f64 (*.f64 1/3 (sqrt.f64 a)) 0)
(+.f64 0 (*.f64 1/3 (sqrt.f64 a)))
(+.f64 (.f64 (sqrt.f64 a) 1/6) (.f64 (sqrt.f64 a) 1/6))
(-.f64 (*.f64 1/3 (sqrt.f64 a)) 0)
(/.f64 (*.f64 1/3 (sqrt.f64 a)) 1)
(/.f64 (*.f64 (sqrt.f64 a) 2/3) 2)
(/.f64 (*.f64 (sqrt.f64 a) 4/3) 4)
(/.f64 (.f64 (.f64 1/3 (sqrt.f64 a)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 1/3 (sqrt.f64 a)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/3 (sqrt.f64 a)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 1/3 (sqrt.f64 a)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 1/3 (sqrt.f64 a)) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 1/3 (sqrt.f64 a)) 8)))))) 256)
(pow.f64 (*.f64 1/3 (sqrt.f64 a)) 1)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 0)
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 a) rand)))
(+.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/6)) (.f64 (sqrt.f64 a) (.f64 rand 1/6)))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 0)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 1)
(/.f64 (.f64 (.f64 (sqrt.f64 a) rand) 2/3) 2)
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 4/3)) 4)
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 8/3)) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 a) (*.f64 rand 8/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 a) (.f64 rand 8/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 a) (*.f64 rand 8/3))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 a) (.f64 rand 8/3)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 a) (*.f64 rand 8/3))))))) 256)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 1)

Outputs
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(+.f64 (*.f64 1/3 (sqrt.f64 a)) 0)
(*.f64 1/3 (sqrt.f64 a))
(+.f64 0 (*.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (sqrt.f64 a))
(+.f64 (.f64 (sqrt.f64 a) 1/6) (.f64 (sqrt.f64 a) 1/6))
(*.f64 1/3 (sqrt.f64 a))
(-.f64 (*.f64 1/3 (sqrt.f64 a)) 0)
(*.f64 1/3 (sqrt.f64 a))
(/.f64 (*.f64 1/3 (sqrt.f64 a)) 1)
(*.f64 1/3 (sqrt.f64 a))
(/.f64 (*.f64 (sqrt.f64 a) 2/3) 2)
(*.f64 1/3 (sqrt.f64 a))
(/.f64 (*.f64 (sqrt.f64 a) 4/3) 4)
(*.f64 1/3 (sqrt.f64 a))
(/.f64 (.f64 (.f64 1/3 (sqrt.f64 a)) 8) 8)
(*.f64 1/3 (sqrt.f64 a))
(/.f64 (.f64 2 (.f64 (*.f64 1/3 (sqrt.f64 a)) 8)) 16)
(*.f64 1/3 (sqrt.f64 a))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/3 (sqrt.f64 a)) 8))) 32)
(*.f64 1/3 (sqrt.f64 a))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 1/3 (sqrt.f64 a)) 8)))) 64)
(*.f64 1/3 (sqrt.f64 a))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 1/3 (sqrt.f64 a)) 8))))) 128)
(*.f64 1/3 (sqrt.f64 a))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 1/3 (sqrt.f64 a)) 8)))))) 256)
(*.f64 1/3 (sqrt.f64 a))
(pow.f64 (*.f64 1/3 (sqrt.f64 a)) 1)
(*.f64 1/3 (sqrt.f64 a))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 0)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 a) rand)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(+.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/6)) (.f64 (sqrt.f64 a) (.f64 rand 1/6)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 0)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 1)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 (.f64 (sqrt.f64 a) rand) 2/3) 2)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 4/3)) 4)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 8/3)) 8)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 2 (.f64 (sqrt.f64 a) (*.f64 rand 8/3))) 16)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 a) (.f64 rand 8/3)))) 32)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 a) (*.f64 rand 8/3))))) 64)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 a) (.f64 rand 8/3)))))) 128)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 a) (*.f64 rand 8/3))))))) 256)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 1)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 a 1/3))
	0.0b	(-.f64 a 1/3)
✓	0.2b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
✓	0.4b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.0ms	a	@	inf	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.0ms	a	@	0	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.0ms	rand	@	-inf	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.0ms	a	@	-inf	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

rewrite187.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1760×	`rational.json-simplify-35`
1394×	`exponential.json-3`
1394×	`rational.json-1`
1394×	`rational.json-2`
1394×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	66	40
2	143	40
3	296	40
4	545	40
5	1251	40
6	2615	40
7	4335	40
8	5414	40
9	6701	40
10	7696	40
11	7696	40

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/6)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 4/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/2)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 rand rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)))))

simplify396.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3500×	`rational.json-simplify-35`
2200×	`rational.json-simplify-2`
1484×	`rational.json-simplify-53`
1214×	`exponential.json-simplify-26`
748×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1078
1	297	1078
2	594	1042
3	1321	1018
4	2952	1018
5	3850	1018
6	4388	1018
7	4706	1018
8	5007	1018
9	5081	1018
10	5713	1018
11	6078	1018
12	6087	1018
13	6087	1018
14	6321	1018
15	6924	1018
16	7436	1018
17	7811	1018

Stop Event

1×	node limit

Counts

38 → 65

Calls

Call 1

Inputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(+.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 4/3)) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) 4) 8)
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) 4))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 4)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) 4))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 4)))))) 256)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(+.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 0)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)))
(+.f64 0 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(+.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(+.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/2)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/2)))
(-.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 0)
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 rand rand)) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 4)) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8)))))) 256)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)))
(.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))) (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)) (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) (.f64 -1/24 (*.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))))
(.f64 rand (+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (.f64 1/48 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))) (+.f64 (.f64 1/48 (.f64 rand (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))) (.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))) (+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)) (.f64 1/48 (.f64 (pow.f64 a 3) (/.f64 rand (sqrt.f64 -1/243)))))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) (+.f64 (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27)))) (.f64 1/48 (*.f64 (pow.f64 a 3) (/.f64 rand (sqrt.f64 -1/243))))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) (.f64 rand (+.f64 (.f64 1/48 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))) (.f64 -1/24 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) 1/2))
(+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2)))
(.f64 rand (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) -1/8) (.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) 1/2)))
(+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2)) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (.f64 (*.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) -1/8)))
(+.f64 (.f64 rand (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))))) (.f64 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) -1/8))
(.f64 rand (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (sqrt.f64 -1/3) (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (+.f64 (.f64 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) -1/8) (.f64 (.f64 rand (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))) 1/16)) (.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) 1/2)))
(+.f64 (.f64 rand (sqrt.f64 -1/3)) (+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2)) (+.f64 (.f64 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) -1/8) (.f64 rand (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)) 1/16)))))
(+.f64 (.f64 rand (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3))))) (+.f64 (.f64 (.f64 rand (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) -1/8) (.f64 rand (.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243))))))
(+.f64 (.f64 rand (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))) (.f64 rand (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (sqrt.f64 -1/3) (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))))))
(+.f64 (.f64 rand (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (sqrt.f64 -1/27))) (+.f64 (sqrt.f64 -1/3) (.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))))) (.f64 rand (*.f64 1/16 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/243)))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(+.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/6)))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 0)
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 2)
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 4/3)) 4)
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) 4) 8)
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 4)) 16)
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) 4))) 32)
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 4)))) 64)
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) 4))))) 128)
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) 4)))))) 256)
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 1/3 rand))
(+.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 0)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 0 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 2/3)) (.f64 1/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/2)) (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 1/2)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(-.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 0)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 rand rand)) 2)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) (.f64 rand 4)) 4)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8) 8)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8)) 16)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8))) 32)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8)))) 64)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8))))) 128)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8)))))) 256)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 a 1/3))
	0.0b	(-.f64 a 1/3)
	0.3b	(*.f64 rand 1/3)
	0.4b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))

Compiler

Compiled 23 to 16 computations (30.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (+.f64 a -2/3))
✓	0.2b	(/.f64 (+.f64 a (+.f64 a -2/3)) 2)
✓	0.3b	(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2))))
✓	0.4b	(*.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2)))

Compiler

Compiled 52 to 38 computations (26.9% saved)

series7.0ms (0%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	rand	@	0	(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2))))
1.0ms	a	@	-inf	(*.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2)))
1.0ms	a	@	inf	(*.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2)))
1.0ms	rand	@	inf	(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2))))
1.0ms	a	@	inf	(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2))))

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`exponential.json-3`
1552×	`rational.json-1`
1552×	`rational.json-2`
1552×	`rational.json-4`
1552×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	96
1	96	96
2	205	96
3	426	96
4	849	96
5	2167	96
6	3834	96
7	4960	96
8	6869	96

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

Inputs
(*.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2)))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2))))
(/.f64 (+.f64 a (+.f64 a -2/3)) 2)
(+.f64 a (+.f64 a -2/3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 1/6) (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 rand (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 1/6)) (.f64 rand (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) (.f64 rand 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4) (.f64 (+.f64 a (+.f64 a -2/3)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a (+.f64 a -2/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a (+.f64 (.f64 a 3) -4/3)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 a (+.f64 a -2/3)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a (+.f64 a -2/3)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 a (+.f64 a -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a (+.f64 a -2/3)) 8) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (+.f64 a (+.f64 (.f64 a 3) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (+.f64 a (+.f64 a -2/3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/16 (.f64 (+.f64 a (+.f64 a -2/3)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 a (+.f64 a -2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a (+.f64 a -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 a (+.f64 a -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a (+.f64 (.f64 a 3) -4/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a (+.f64 a -2/3)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 a (+.f64 (.f64 a 3) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a (+.f64 a -2/3)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 a (+.f64 a -2/3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (+.f64 a (+.f64 a -2/3)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a (+.f64 a -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a (+.f64 (.f64 a 3) -4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 a (+.f64 a -2/3)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 a (+.f64 a -2/3)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a (+.f64 a -2/3)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 a (+.f64 a -2/3)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a (+.f64 a -2/3)) 1)))))

simplify257.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1942×	`rational.json-simplify-35`
1690×	`rational.json-simplify-53`
1356×	`rational.json-simplify-51`
1330×	`rational.json-simplify-1`
1168×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2801
1	415	2725
2	1004	2659
3	2658	2659
4	4809	2659
5	5851	2659
6	6542	2659
7	6785	2659
8	6956	2659
9	7127	2659

Stop Event

1×	node limit

Counts

111 → 122

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) a) (sqrt.f64 -2/3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a 2)) (pow.f64 (sqrt.f64 -2/3) 3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) a) (sqrt.f64 -2/3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a 2)) (pow.f64 (sqrt.f64 -2/3) 3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) a) (sqrt.f64 -2/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -2/3) 5))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -2/3) rand)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 a rand)) (sqrt.f64 -2/3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 a rand)) (sqrt.f64 -2/3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a 2) rand)) (pow.f64 (sqrt.f64 -2/3) 3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -2/3) rand)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 a rand)) (sqrt.f64 -2/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a 3) rand)) (pow.f64 (sqrt.f64 -2/3) 5))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a 2) rand)) (pow.f64 (sqrt.f64 -2/3) 3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand))))))
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
-2/3
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 2 a) 2/3)
(*.f64 2 a)
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 2 a) 2/3)
(*.f64 2 a)
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 2 a) 2/3)
(+.f64 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))) 0)
(+.f64 0 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))))
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 1/6) (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 1/6))
(-.f64 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))) 0)
(/.f64 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3)))))) 128)
(pow.f64 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))) 1)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)) 0)
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)))
(+.f64 (.f64 rand (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 1/6)) (.f64 rand (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 1/6)))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)) 0)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) (*.f64 rand 2/3)) 2)
(/.f64 (.f64 rand (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3)) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4)) 8)
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (*.f64 rand 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (*.f64 rand 4))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4)))))) 128)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)) 1)
(+.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 0)
(+.f64 0 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2))
(+.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4) (.f64 (+.f64 a (+.f64 a -2/3)) 1/4))
(-.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 0)
(*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)
(.f64 2 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 1)
(.f64 1 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))
(.f64 (+.f64 a (+.f64 (.f64 a 3) -4/3)) 1/4)
(*.f64 4 (/.f64 (+.f64 a (+.f64 a -2/3)) 8))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 4) 1/8)
(*.f64 1/2 (+.f64 a (+.f64 a -2/3)))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 8) 1/16)
(.f64 1/4 (+.f64 a (+.f64 (.f64 a 3) -4/3)))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4) 2)
(.f64 1/8 (.f64 (+.f64 a (+.f64 a -2/3)) 4))
(*.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 8) 4)
(.f64 1/16 (.f64 (+.f64 a (+.f64 a -2/3)) 8))
(pow.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 1)
(-.f64 (+.f64 a (+.f64 a -2/3)) 0)
(*.f64 (+.f64 a (+.f64 a -2/3)) 1)
(.f64 2 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 2)
(*.f64 1 (+.f64 a (+.f64 a -2/3)))
(.f64 (+.f64 a (+.f64 (.f64 a 3) -4/3)) 1/2)
(.f64 4 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 4) 1/4)
(.f64 1/2 (+.f64 a (+.f64 (.f64 a 3) -4/3)))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 8) 1/8)
(.f64 1/4 (.f64 (+.f64 a (+.f64 a -2/3)) 4))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 a (+.f64 a -2/3)) 8))
(/.f64 (+.f64 a (+.f64 a -2/3)) 1)
(/.f64 (+.f64 a (+.f64 (*.f64 a 3) -4/3)) 2)
(/.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 4) 4)
(/.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 a (+.f64 a -2/3)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 a (+.f64 a -2/3)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a (+.f64 a -2/3)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 a (+.f64 a -2/3)) 8))))) 128)
(pow.f64 (+.f64 a (+.f64 a -2/3)) 1)

Outputs
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3)))
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) a) (sqrt.f64 -2/3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3))))
(+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/3 (*.f64 a (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3)))))
(.f64 1/3 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 a (sqrt.f64 -2/3))) (sqrt.f64 -1/3)))
(.f64 1/3 (+.f64 (sqrt.f64 -1/3) (.f64 a (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a 2)) (pow.f64 (sqrt.f64 -2/3) 3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) a) (sqrt.f64 -2/3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3)))))
(+.f64 (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/3 (.f64 a (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3))))) (.f64 -1/6 (*.f64 (pow.f64 a 2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -8/27)))))
(+.f64 (.f64 1/3 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 a (sqrt.f64 -2/3))) (sqrt.f64 -1/3))) (.f64 -1/6 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a 2) (sqrt.f64 -8/27)))))
(+.f64 (.f64 1/3 (+.f64 (sqrt.f64 -1/3) (.f64 a (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3))))) (.f64 -1/6 (.f64 (pow.f64 a 2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -8/27)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a 2)) (pow.f64 (sqrt.f64 -2/3) 3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) a) (sqrt.f64 -2/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -2/3) 5))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3))))))
(+.f64 (.f64 1/3 (.f64 a (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3)))) (+.f64 (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -32/243))))) (.f64 -1/6 (*.f64 (pow.f64 a 2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -8/27))))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a 2) (sqrt.f64 -8/27)))) (+.f64 (.f64 1/3 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 a (sqrt.f64 -2/3))) (sqrt.f64 -1/3))) (.f64 1/6 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a 3) (sqrt.f64 -32/243))))))
(+.f64 (.f64 1/3 (+.f64 (sqrt.f64 -1/3) (.f64 a (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3))))) (+.f64 (.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 -32/243)) (.f64 (pow.f64 a 3) 1/6)) (.f64 -1/6 (.f64 (pow.f64 a 2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -8/27))))))
(+.f64 (.f64 1/3 (+.f64 (sqrt.f64 -1/3) (.f64 a (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 a 2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -8/27)))) (.f64 1/6 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a 3) (sqrt.f64 -32/243))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 (.f64 (sqrt.f64 1/2) rand) 1/3))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (.f64 (-.f64 (.f64 a 2) 2/3) 1/2))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 (.f64 (sqrt.f64 1/2) rand) 1/3))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (.f64 (-.f64 (.f64 a 2) 2/3) 1/2))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 (.f64 (sqrt.f64 1/2) rand) 1/3))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (.f64 (-.f64 (.f64 a 2) 2/3) 1/2))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 (.f64 (sqrt.f64 1/2) rand) 1/3))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (.f64 (-.f64 (.f64 a 2) 2/3) 1/2))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 (.f64 (sqrt.f64 1/2) rand) 1/3))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (.f64 (-.f64 (.f64 a 2) 2/3) 1/2))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 (.f64 (sqrt.f64 1/2) rand) 1/3))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (.f64 (-.f64 (.f64 a 2) 2/3) 1/2))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 (.f64 (sqrt.f64 1/2) rand) 1/3))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (.f64 (-.f64 (.f64 a 2) 2/3) 1/2))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 (.f64 (sqrt.f64 1/2) rand) 1/3))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (.f64 (-.f64 (.f64 a 2) 2/3) 1/2))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 (.f64 (sqrt.f64 1/2) rand) 1/3))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (.f64 (-.f64 (.f64 a 2) 2/3) 1/2))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 (.f64 (sqrt.f64 1/2) rand) 1/3))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (.f64 (-.f64 (.f64 a 2) 2/3) 1/2))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 (.f64 (sqrt.f64 1/2) rand) 1/3))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (.f64 (-.f64 (.f64 a 2) 2/3) 1/2))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 (.f64 (sqrt.f64 1/2) rand) 1/3))
(.f64 (sqrt.f64 (-.f64 (.f64 a 2) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 1/2) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 (.f64 (-.f64 (.f64 a 2) 2/3) 1/2))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -2/3) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 1/3 (.f64 (sqrt.f64 -1/3) rand))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 a rand)) (sqrt.f64 -2/3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand))) (.f64 1/3 (.f64 (.f64 a rand) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3)))))
(.f64 1/3 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 (.f64 a rand) (sqrt.f64 -2/3))) (.f64 rand (sqrt.f64 -1/3))))
(.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) rand) (+.f64 (sqrt.f64 -2/3) (/.f64 a (sqrt.f64 -2/3)))))
(.f64 1/3 (.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 a (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 a rand)) (sqrt.f64 -2/3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a 2) rand)) (pow.f64 (sqrt.f64 -2/3) 3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -2/3) rand)))))
(+.f64 (.f64 1/3 (.f64 (.f64 a rand) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3)))) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand))) (.f64 -1/6 (.f64 (*.f64 (pow.f64 a 2) rand) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -8/27))))))
(+.f64 (.f64 1/3 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 (.f64 a rand) (sqrt.f64 -2/3))) (.f64 rand (sqrt.f64 -1/3)))) (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -8/27))))
(+.f64 (.f64 1/3 (.f64 (.f64 (sqrt.f64 1/2) rand) (+.f64 (sqrt.f64 -2/3) (/.f64 a (sqrt.f64 -2/3))))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 (pow.f64 a 2) (/.f64 rand (sqrt.f64 -8/27))) -1/6)))
(+.f64 (.f64 1/3 (.f64 rand (+.f64 (sqrt.f64 -1/3) (.f64 a (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3)))))) (.f64 -1/6 (.f64 rand (.f64 (pow.f64 a 2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -8/27))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 a rand)) (sqrt.f64 -2/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a 3) rand)) (pow.f64 (sqrt.f64 -2/3) 5))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a 2) rand)) (pow.f64 (sqrt.f64 -2/3) 3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand))))))
(+.f64 (.f64 1/3 (.f64 (.f64 a rand) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3)))) (+.f64 (.f64 -1/6 (.f64 (.f64 (pow.f64 a 2) rand) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -8/27)))) (+.f64 (.f64 1/3 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand))) (.f64 1/6 (.f64 (.f64 (pow.f64 a 3) rand) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -32/243)))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a 2) rand)) (sqrt.f64 -8/27))) (+.f64 (.f64 1/3 (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 (.f64 a rand) (sqrt.f64 -2/3))) (.f64 rand (sqrt.f64 -1/3)))) (.f64 1/6 (.f64 (sqrt.f64 1/2) (/.f64 (.f64 (pow.f64 a 3) rand) (sqrt.f64 -32/243))))))
(+.f64 (.f64 1/3 (.f64 (.f64 (sqrt.f64 1/2) rand) (+.f64 (sqrt.f64 -2/3) (/.f64 a (sqrt.f64 -2/3))))) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 (pow.f64 a 2) (/.f64 rand (sqrt.f64 -8/27))) -1/6)) (.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 -32/243)) (.f64 (*.f64 (pow.f64 a 3) rand) 1/6))))
(+.f64 (.f64 1/3 (.f64 rand (+.f64 (sqrt.f64 -1/3) (.f64 a (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3)))))) (+.f64 (.f64 -1/6 (.f64 rand (.f64 (pow.f64 a 2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -8/27))))) (.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 -32/243)) (.f64 (*.f64 (pow.f64 a 3) rand) 1/6))))
-1/3
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
-2/3
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 a 2) 2/3)
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 a 2) 2/3)
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 a 2) 2/3)
(*.f64 2 a)
(*.f64 a 2)
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 a 2) 2/3)
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 a 2) 2/3)
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 a 2) 2/3)
(*.f64 2 a)
(*.f64 a 2)
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 a 2) 2/3)
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 a 2) 2/3)
(-.f64 (*.f64 2 a) 2/3)
(-.f64 (*.f64 a 2) 2/3)
(+.f64 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))) 0)
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(+.f64 0 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 1/6) (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 1/6))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(-.f64 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))) 0)
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(/.f64 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))) 1)
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) 2)
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3) 4)
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3)) 8)
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3))) 16)
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3)))) 32)
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3))))) 64)
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3)))))) 128)
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(pow.f64 (.f64 1/3 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))) 1)
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)) 0)
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))) (*.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 -2/3 (+.f64 a a))))))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))) (*.f64 1/3 rand))
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))) (*.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 -2/3 (+.f64 a a))))))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))) (*.f64 1/3 rand))
(+.f64 (.f64 rand (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 1/6)) (.f64 rand (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 1/6)))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))) (*.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 -2/3 (+.f64 a a))))))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))) (*.f64 1/3 rand))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)) 0)
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))) (*.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 -2/3 (+.f64 a a))))))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))) (*.f64 1/3 rand))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)) 1)
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))) (*.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 -2/3 (+.f64 a a))))))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))) (*.f64 1/3 rand))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) (*.f64 rand 2/3)) 2)
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))) (*.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 -2/3 (+.f64 a a))))))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))) (*.f64 1/3 rand))
(/.f64 (.f64 rand (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 4/3)) 4)
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))) (*.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 -2/3 (+.f64 a a))))))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))) (*.f64 1/3 rand))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4)) 8)
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))) (*.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 -2/3 (+.f64 a a))))))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))) (*.f64 1/3 rand))
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (*.f64 rand 4))) 16)
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))) (*.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 -2/3 (+.f64 a a))))))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))) (*.f64 1/3 rand))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4)))) 32)
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))) (*.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 -2/3 (+.f64 a a))))))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))) (*.f64 1/3 rand))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (*.f64 rand 4))))) 64)
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))) (*.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 -2/3 (+.f64 a a))))))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))) (*.f64 1/3 rand))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) 2/3) (.f64 rand 4)))))) 128)
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))) (*.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 -2/3 (+.f64 a a))))))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))) (*.f64 1/3 rand))
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)) rand)) 1)
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))) (*.f64 rand 1/3))
(.f64 1/3 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 -2/3 (+.f64 a a))))))
(.f64 (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))) (*.f64 1/3 rand))
(+.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 0)
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(+.f64 0 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2))
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(+.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4) (.f64 (+.f64 a (+.f64 a -2/3)) 1/4))
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(-.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 0)
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(*.f64 (+.f64 a (+.f64 a -2/3)) 1/2)
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(.f64 2 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4))
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 1)
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(.f64 1 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(.f64 (+.f64 a (+.f64 (.f64 a 3) -4/3)) 1/4)
(.f64 1/4 (+.f64 a (+.f64 (.f64 a 3) -4/3)))
(*.f64 4 (/.f64 (+.f64 a (+.f64 a -2/3)) 8))
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 4) 1/8)
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(*.f64 1/2 (+.f64 a (+.f64 a -2/3)))
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 8) 1/16)
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(.f64 1/4 (+.f64 a (+.f64 (.f64 a 3) -4/3)))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4) 2)
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(.f64 1/8 (.f64 (+.f64 a (+.f64 a -2/3)) 4))
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(*.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 8) 4)
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(.f64 1/16 (.f64 (+.f64 a (+.f64 a -2/3)) 8))
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(pow.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 1)
(*.f64 1/2 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1/2 (+.f64 -2/3 (+.f64 a a)))
(-.f64 (+.f64 a (+.f64 a -2/3)) 0)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(*.f64 (+.f64 a (+.f64 a -2/3)) 1)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(.f64 2 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2))
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/2) 2)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(*.f64 1 (+.f64 a (+.f64 a -2/3)))
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(.f64 (+.f64 a (+.f64 (.f64 a 3) -4/3)) 1/2)
(.f64 1/2 (+.f64 a (+.f64 (.f64 a 3) -4/3)))
(.f64 4 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4))
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 4) 1/4)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(.f64 1/2 (+.f64 a (+.f64 (.f64 a 3) -4/3)))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 8) 1/8)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(.f64 1/4 (.f64 (+.f64 a (+.f64 a -2/3)) 4))
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(.f64 (.f64 (+.f64 a (+.f64 a -2/3)) 1/4) 4)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(.f64 1/8 (.f64 (+.f64 a (+.f64 a -2/3)) 8))
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(/.f64 (+.f64 a (+.f64 a -2/3)) 1)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(/.f64 (+.f64 a (+.f64 (*.f64 a 3) -4/3)) 2)
(/.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 4) 4)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(/.f64 (*.f64 (+.f64 a (+.f64 a -2/3)) 8) 8)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(/.f64 (.f64 2 (.f64 (+.f64 a (+.f64 a -2/3)) 8)) 16)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 a (+.f64 a -2/3)) 8))) 32)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a (+.f64 a -2/3)) 8)))) 64)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 a (+.f64 a -2/3)) 8))))) 128)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))
(pow.f64 (+.f64 a (+.f64 a -2/3)) 1)
(+.f64 a (+.f64 -2/3 a))
(+.f64 -2/3 (+.f64 a a))

eval316.0ms (1.5%)

Compiler: Compiled 11881 to 9864 computations (17% saved)

prune113.0ms (0.6%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	610	5	615
Fresh	1	2	3
Picked	0	1	1
Done	4	5	9
Total	615	13	628

Error

0.0b

Counts

628 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.5b	(-.f64 a 1/3)
✓	0.1b	(+.f64 a (-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3)) 1/3))
▶	0.6b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
▶	6.4b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 2 rand) (.f64 1/2 (/.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand))))))
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
▶	45.1b	(.f64 (sqrt.f64 a) (.f64 rand 1/3))
✓	44.7b	(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2))))
✓	44.7b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
✓	45.1b	(.f64 rand (.f64 1/3 (sqrt.f64 a)))
▶	44.7b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
▶	45.1b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
	19.5b	a
	63.1b	-1/3

Compiler

Compiled 213 to 170 computations (20.2% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 a 1/3)
✓	0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
✓	0.2b	(/.f64 rand (sqrt.f64 (*.f64 a 9)))
✓	0.4b	(sqrt.f64 (*.f64 a 9))

Compiler

Compiled 43 to 31 computations (27.9% saved)

series7.0ms (0%)

Counts

3 → 26

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(sqrt.f64 (*.f64 a 9))
1.0ms	rand	@	0	(/.f64 rand (sqrt.f64 (*.f64 a 9)))
0.0ms	a	@	0	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
0.0ms	a	@	-inf	(/.f64 rand (sqrt.f64 (*.f64 a 9)))
0.0ms	a	@	-inf	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`rational.json-1`
1462×	`rational.json-2`
1462×	`rational.json-4`
1462×	`rational.json-3`
1454×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	103	63
2	219	63
3	456	63
4	1087	63
5	4100	63

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 a 9))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 a 9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) 1/2) (*.f64 (sqrt.f64 (*.f64 a 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 a 9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (*.f64 a 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 (*.f64 a 9)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 a 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (*.f64 a 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (*.f64 a 9)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 a 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 1 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 a 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 a 9)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (*.f64 a 9))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 rand 1/2) (sqrt.f64 (*.f64 a 9))) (/.f64 (*.f64 rand 1/2) (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 rand 1/2) (sqrt.f64 (*.f64 a 9))) (/.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 rand 1/2) (sqrt.f64 (*.f64 a 9))) (/.f64 (neg.f64 rand) (*.f64 (sqrt.f64 (*.f64 a 9)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 (/.f64 1 rand) (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 (*.f64 2 (/.f64 1 (sqrt.f64 (*.f64 a 9)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 (/.f64 2 (sqrt.f64 (*.f64 a 9))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 rand rand) (neg.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 rand rand) (/.f64 1/2 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 rand 1/2) (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (/.f64 2 (sqrt.f64 (*.f64 a 9)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 4) (/.f64 1 (*.f64 (sqrt.f64 (*.f64 a 9)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 4) (*.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 a 9)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 4) (*.f64 1/4 (/.f64 1 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 4) (*.f64 1/2 (/.f64 1/2 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 rand (*.f64 (sqrt.f64 (*.f64 a 9)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 a 9))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 a 9))) (/.f64 1 (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 -1 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (*.f64 (/.f64 -1 (sqrt.f64 (*.f64 a 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) (/.f64 1 (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) (/.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 2 rand)) (/.f64 1 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 2 rand)) (/.f64 1/2 (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 8) (/.f64 1 (*.f64 (sqrt.f64 (*.f64 a 9)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (*.f64 a 9)) (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (*.f64 a 9))) (+.f64 rand rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 rand (/.f64 2 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand -2) (/.f64 1/2 (neg.f64 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand -2) (/.f64 1 (*.f64 (sqrt.f64 (*.f64 a 9)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand -2) (/.f64 1 (neg.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (sqrt.f64 (*.f64 a 9)))) (*.f64 rand 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (*.f64 a 9))) (*.f64 rand 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 rand) (/.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) 2) (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 1/2 rand)) (/.f64 2 (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 rand 1/2) (sqrt.f64 (*.f64 a 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 1/2) (/.f64 2 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 rand) (/.f64 (neg.f64 (sqrt.f64 (*.f64 a 9))) (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 a 9)) 4)) (*.f64 rand 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (*.f64 a 9))) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (*.f64 a 9)) (*.f64 2 (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) (neg.f64 rand)) (*.f64 (sqrt.f64 (*.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 rand rand) (neg.f64 (*.f64 (sqrt.f64 (*.f64 a 9)) 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a -1/3) (+.f64 1/2 (/.f64 (*.f64 rand 1/2) (sqrt.f64 (*.f64 a 9))))) (*.f64 (+.f64 a -1/3) (+.f64 1/2 (/.f64 (*.f64 rand 1/2) (sqrt.f64 (*.f64 a 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (+.f64 2 (*.f64 rand (/.f64 2 (sqrt.f64 (*.f64 a 9)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 1) (*.f64 (+.f64 a -1/3) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 1) (*.f64 (+.f64 a -1/3) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 1) (*.f64 (+.f64 a -1/3) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 1)) 1)))))

simplify121.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational.json-simplify-51`
1102×	`rational.json-simplify-2`
1084×	`rational.json-simplify-55`
838×	`rational.json-simplify-50`
648×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	3235
1	488	3217
2	2355	2913
3	4284	2847
4	6611	2847

Stop Event

1×	node limit

Counts

129 → 139

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (sqrt.f64 (*.f64 a 9)) 0)
(+.f64 0 (sqrt.f64 (*.f64 a 9)))
(+.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 (*.f64 a 9)))))
(+.f64 (.f64 (sqrt.f64 (.f64 a 9)) 1/2) (.f64 (sqrt.f64 (.f64 a 9)) 1/2))
(-.f64 (sqrt.f64 (*.f64 a 9)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 a 9))))
(.f64 (sqrt.f64 (.f64 a 9)) 1)
(.f64 1 (sqrt.f64 (.f64 a 9)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 a 9))))
(.f64 (.f64 (sqrt.f64 (*.f64 a 9)) 2) 1/2)
(.f64 2 (.f64 (sqrt.f64 (*.f64 a 9)) 1/2))
(.f64 (.f64 (sqrt.f64 (*.f64 a 9)) 4) 1/4)
(.f64 4 (/.f64 (sqrt.f64 (.f64 a 9)) 4))
(.f64 (neg.f64 (sqrt.f64 (.f64 a 9))) -1)
(.f64 (.f64 (sqrt.f64 (*.f64 a 9)) 8) 1/8)
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 a 9)) 2))
(.f64 (.f64 (sqrt.f64 (*.f64 a 9)) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 a 9)) 4))
(/.f64 (sqrt.f64 (*.f64 a 9)) 1)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 a 9))))
(/.f64 -1 (/.f64 -1 (sqrt.f64 (*.f64 a 9))))
(/.f64 (.f64 (sqrt.f64 (.f64 a 9)) 2) 2)
(/.f64 2 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 a 9)))))
(/.f64 2 (/.f64 2 (sqrt.f64 (*.f64 a 9))))
(/.f64 (.f64 (sqrt.f64 (.f64 a 9)) 4) 4)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a 9))) -1)
(/.f64 (.f64 (sqrt.f64 (.f64 a 9)) 8) 8)
(/.f64 (.f64 (sqrt.f64 (.f64 a 9)) -2) -2)
(/.f64 1/2 (/.f64 1/2 (sqrt.f64 (*.f64 a 9))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 a 9)) 2)) -2)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 a 9)) 8)) 16)
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 a 9)) -2)) 2)
(pow.f64 (sqrt.f64 (*.f64 a 9)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 a 9))))
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 0)
(+.f64 0 (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9)))))
(+.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 a 9))) (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 a 9))))
(-.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 0)
(-.f64 0 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))))
(-.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 a 9))) (/.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))) 2))
(-.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 a 9))) (/.f64 (neg.f64 rand) (.f64 (sqrt.f64 (.f64 a 9)) 2)))
(.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 1 rand) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))
(.f64 rand (/.f64 1 (sqrt.f64 (.f64 a 9))))
(.f64 rand (.f64 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 a 9)))) 1/2))
(.f64 rand (.f64 (/.f64 2 (sqrt.f64 (*.f64 a 9))) 1/2))
(.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1)
(.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9))))
(.f64 -1 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 a 9))))
(.f64 -1 (.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))) 1))
(.f64 -1 (/.f64 (+.f64 rand rand) (neg.f64 (.f64 (sqrt.f64 (*.f64 a 9)) 2))))
(.f64 (+.f64 rand rand) (/.f64 1/2 (sqrt.f64 (.f64 a 9))))
(.f64 2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (*.f64 a 9))))
(.f64 (.f64 rand (/.f64 2 (sqrt.f64 (*.f64 a 9)))) 1/2)
(.f64 (.f64 rand 4) (/.f64 1 (.f64 (sqrt.f64 (.f64 a 9)) 4)))
(.f64 (.f64 rand 4) (.f64 (/.f64 1 (.f64 (sqrt.f64 (*.f64 a 9)) 4)) 1))
(.f64 (.f64 rand 4) (.f64 1/4 (/.f64 1 (sqrt.f64 (.f64 a 9)))))
(.f64 (.f64 rand 4) (.f64 1/2 (/.f64 1/2 (sqrt.f64 (.f64 a 9)))))
(.f64 4 (/.f64 rand (.f64 (sqrt.f64 (*.f64 a 9)) 4)))
(.f64 4 (/.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 4))
(.f64 (/.f64 1 (sqrt.f64 (.f64 a 9))) rand)
(.f64 (/.f64 1 (sqrt.f64 (.f64 a 9))) (/.f64 1 (/.f64 1 rand)))
(.f64 (neg.f64 rand) (/.f64 -1 (sqrt.f64 (.f64 a 9))))
(.f64 (neg.f64 rand) (.f64 (/.f64 -1 (sqrt.f64 (*.f64 a 9))) 1))
(.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 1 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))
(.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) rand)))))
(.f64 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 2 rand)) (/.f64 1 (.f64 2 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand)))))
(.f64 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 2 rand)) (/.f64 1/2 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) rand))))
(.f64 (.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 4) 1/4)
(.f64 (.f64 rand 8) (/.f64 1 (.f64 (sqrt.f64 (.f64 a 9)) 8)))
(.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 a 9))) (+.f64 rand rand))
(.f64 1/2 (.f64 rand (/.f64 2 (sqrt.f64 (*.f64 a 9)))))
(.f64 (.f64 rand -2) (/.f64 1/2 (neg.f64 (sqrt.f64 (*.f64 a 9)))))
(.f64 (.f64 rand -2) (/.f64 1 (.f64 (sqrt.f64 (.f64 a 9)) -2)))
(.f64 (.f64 rand -2) (/.f64 1 (neg.f64 (.f64 (sqrt.f64 (.f64 a 9)) 2))))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 a 9)))) (.f64 rand 1/2))
(.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 a 9))) -1)
(.f64 (/.f64 2 (sqrt.f64 (.f64 a 9))) (*.f64 rand 1/2))
(.f64 (/.f64 1/2 rand) (/.f64 (.f64 (sqrt.f64 (.f64 a 9)) 2) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) rand))))
(.f64 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 1/2 rand)) (/.f64 2 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) rand))))
(.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (*.f64 a 9))) 2)
(.f64 1/4 (.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 4))
(.f64 (.f64 rand 1/2) (/.f64 2 (sqrt.f64 (*.f64 a 9))))
(.f64 (/.f64 -1 rand) (/.f64 (neg.f64 (sqrt.f64 (.f64 a 9))) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 a 9)) 4)) (.f64 rand 4))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 a 9))) (neg.f64 rand))
(.f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 2 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) rand)))))
(pow.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 1)
(neg.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) (neg.f64 rand)) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) rand))))
(neg.f64 (/.f64 (+.f64 rand rand) (neg.f64 (.f64 (sqrt.f64 (.f64 a 9)) 2))))
(+.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3)))
(+.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1)) 0)
(+.f64 0 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1)))
(+.f64 (.f64 (+.f64 a -1/3) (+.f64 1/2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 a 9))))) (.f64 (+.f64 a -1/3) (+.f64 1/2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 a 9))))))
(-.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1)) 0)
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1)) 1)
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (.f64 rand (/.f64 2 (sqrt.f64 (*.f64 a 9)))))) 2)
(/.f64 (.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1) (*.f64 (+.f64 a -1/3) 4)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1) (.f64 (+.f64 a -1/3) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1) (*.f64 (+.f64 a -1/3) 4)))) 16)
(pow.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1)) 1)

Outputs
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) (-.f64 a 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (.f64 rand (-.f64 a 1/3)) (*.f64 1/3 (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) 1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) (-.f64 a 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (.f64 rand (-.f64 a 1/3)) (*.f64 1/3 (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) 1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) (-.f64 a 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (.f64 rand (-.f64 a 1/3)) (*.f64 1/3 (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) 1/3))
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3))))
(.f64 (.f64 rand (-.f64 a 1/3)) (*.f64 1/3 (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) (-.f64 a 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (.f64 rand (-.f64 a 1/3)) (*.f64 1/3 (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) 1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) (-.f64 a 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (.f64 rand (-.f64 a 1/3)) (*.f64 1/3 (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) 1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) (-.f64 a 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (.f64 rand (-.f64 a 1/3)) (*.f64 1/3 (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) 1/3))
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3))))
(.f64 (.f64 rand (-.f64 a 1/3)) (*.f64 1/3 (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) (-.f64 a 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (.f64 rand (-.f64 a 1/3)) (*.f64 1/3 (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) 1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) (-.f64 a 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (.f64 rand (-.f64 a 1/3)) (*.f64 1/3 (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) 1/3))
(-.f64 (+.f64 a (.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) (-.f64 a 1/3))
(+.f64 (-.f64 a 1/3) (.f64 (.f64 rand (-.f64 a 1/3)) (*.f64 1/3 (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (-.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (-.f64 a 1/3)))) 1/3))
(+.f64 (sqrt.f64 (*.f64 a 9)) 0)
(sqrt.f64 (*.f64 a 9))
(+.f64 0 (sqrt.f64 (*.f64 a 9)))
(sqrt.f64 (*.f64 a 9))
(+.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 (*.f64 a 9)))))
(sqrt.f64 (*.f64 a 9))
(+.f64 (.f64 (sqrt.f64 (.f64 a 9)) 1/2) (.f64 (sqrt.f64 (.f64 a 9)) 1/2))
(sqrt.f64 (*.f64 a 9))
(-.f64 (sqrt.f64 (*.f64 a 9)) 0)
(sqrt.f64 (*.f64 a 9))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (*.f64 a 9))
(.f64 (sqrt.f64 (.f64 a 9)) 1)
(sqrt.f64 (*.f64 a 9))
(.f64 1 (sqrt.f64 (.f64 a 9)))
(sqrt.f64 (*.f64 a 9))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 a 9))))
(sqrt.f64 (*.f64 a 9))
(.f64 (.f64 (sqrt.f64 (*.f64 a 9)) 2) 1/2)
(sqrt.f64 (*.f64 a 9))
(.f64 2 (.f64 (sqrt.f64 (*.f64 a 9)) 1/2))
(sqrt.f64 (*.f64 a 9))
(.f64 (.f64 (sqrt.f64 (*.f64 a 9)) 4) 1/4)
(sqrt.f64 (*.f64 a 9))
(.f64 4 (/.f64 (sqrt.f64 (.f64 a 9)) 4))
(sqrt.f64 (*.f64 a 9))
(.f64 (neg.f64 (sqrt.f64 (.f64 a 9))) -1)
(sqrt.f64 (*.f64 a 9))
(.f64 (.f64 (sqrt.f64 (*.f64 a 9)) 8) 1/8)
(sqrt.f64 (*.f64 a 9))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 a 9)) 2))
(sqrt.f64 (*.f64 a 9))
(.f64 (.f64 (sqrt.f64 (*.f64 a 9)) 1/2) 2)
(sqrt.f64 (*.f64 a 9))
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 a 9)) 4))
(sqrt.f64 (*.f64 a 9))
(/.f64 (sqrt.f64 (*.f64 a 9)) 1)
(sqrt.f64 (*.f64 a 9))
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (*.f64 a 9))
(/.f64 -1 (/.f64 -1 (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (*.f64 a 9))
(/.f64 (.f64 (sqrt.f64 (.f64 a 9)) 2) 2)
(sqrt.f64 (*.f64 a 9))
(/.f64 2 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 a 9)))))
(sqrt.f64 (*.f64 a 9))
(/.f64 2 (/.f64 2 (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (*.f64 a 9))
(/.f64 (.f64 (sqrt.f64 (.f64 a 9)) 4) 4)
(sqrt.f64 (*.f64 a 9))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 a 9))) -1)
(sqrt.f64 (*.f64 a 9))
(/.f64 (.f64 (sqrt.f64 (.f64 a 9)) 8) 8)
(sqrt.f64 (*.f64 a 9))
(/.f64 (.f64 (sqrt.f64 (.f64 a 9)) -2) -2)
(sqrt.f64 (*.f64 a 9))
(/.f64 1/2 (/.f64 1/2 (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (*.f64 a 9))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 a 9)) 2)) -2)
(sqrt.f64 (*.f64 a 9))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 a 9)) 8)) 16)
(sqrt.f64 (*.f64 a 9))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 a 9)) -2)) 2)
(sqrt.f64 (*.f64 a 9))
(pow.f64 (sqrt.f64 (*.f64 a 9)) 1)
(sqrt.f64 (*.f64 a 9))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (*.f64 a 9))
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 0)
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(+.f64 0 (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9)))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(+.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 a 9))) (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 a 9))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(-.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 0)
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(-.f64 0 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(-.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 a 9))) (/.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))) 2))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(-.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 a 9))) (/.f64 (neg.f64 rand) (.f64 (sqrt.f64 (.f64 a 9)) 2)))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 1 rand) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))
(.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 1 rand) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 rand rand)))))
(.f64 (sqrt.f64 (.f64 a 9)) (/.f64 1 (.f64 (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 rand rand)) (.f64 (sqrt.f64 (*.f64 a 9)) rand))))
(.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (.f64 rand rand) (sqrt.f64 (.f64 (.f64 a 9) (.f64 a 9)))) rand))
(.f64 rand (/.f64 1 (sqrt.f64 (.f64 a 9))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 rand (.f64 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 a 9)))) 1/2))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 rand (.f64 (/.f64 2 (sqrt.f64 (*.f64 a 9))) 1/2))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1)
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 -1 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 a 9))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 -1 (.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))) 1))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 -1 (/.f64 (+.f64 rand rand) (neg.f64 (.f64 (sqrt.f64 (*.f64 a 9)) 2))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (+.f64 rand rand) (/.f64 1/2 (sqrt.f64 (.f64 a 9))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (*.f64 a 9))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (.f64 rand (/.f64 2 (sqrt.f64 (*.f64 a 9)))) 1/2)
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (.f64 rand 4) (/.f64 1 (.f64 (sqrt.f64 (.f64 a 9)) 4)))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (.f64 rand 4) (.f64 (/.f64 1 (.f64 (sqrt.f64 (*.f64 a 9)) 4)) 1))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (.f64 rand 4) (.f64 1/4 (/.f64 1 (sqrt.f64 (.f64 a 9)))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (.f64 rand 4) (.f64 1/2 (/.f64 1/2 (sqrt.f64 (.f64 a 9)))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 4 (/.f64 rand (.f64 (sqrt.f64 (*.f64 a 9)) 4)))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 4 (/.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 4))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 a 9))) rand)
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 a 9))) (/.f64 1 (/.f64 1 rand)))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (neg.f64 rand) (/.f64 -1 (sqrt.f64 (.f64 a 9))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (neg.f64 rand) (.f64 (/.f64 -1 (sqrt.f64 (*.f64 a 9))) 1))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 1 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))
(.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 1 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 rand rand)))))
(.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 (.f64 rand rand) (sqrt.f64 (.f64 (.f64 a 9) (.f64 a 9)))))
(.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) rand)))))
(.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 1 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 rand rand)))))
(.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 (.f64 rand rand) (sqrt.f64 (.f64 (.f64 a 9) (.f64 a 9)))))
(.f64 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 2 rand)) (/.f64 1 (.f64 2 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand)))))
(.f64 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 2 rand)) (/.f64 1/2 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (sqrt.f64 (.f64 a 9)) (*.f64 rand rand)))))
(.f64 (sqrt.f64 (.f64 a 9)) (.f64 (/.f64 2 rand) (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 1/2 (sqrt.f64 (*.f64 a 9)))))))
(.f64 (/.f64 2 rand) (.f64 1/2 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 a 9)) rand))))
(.f64 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 2 rand)) (/.f64 1/2 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) rand))))
(.f64 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 2 rand)) (/.f64 1/2 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (sqrt.f64 (.f64 a 9)) (*.f64 rand rand)))))
(.f64 (sqrt.f64 (.f64 a 9)) (.f64 (/.f64 2 rand) (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 1/2 (sqrt.f64 (*.f64 a 9)))))))
(.f64 (/.f64 2 rand) (.f64 1/2 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 a 9)) rand))))
(.f64 (.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 4) 1/4)
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (.f64 rand 8) (/.f64 1 (.f64 (sqrt.f64 (.f64 a 9)) 8)))
(.f64 rand (.f64 8 (/.f64 1/8 (sqrt.f64 (*.f64 a 9)))))
(.f64 (.f64 rand 8) (/.f64 1/8 (sqrt.f64 (*.f64 a 9))))
(.f64 (/.f64 1/8 (sqrt.f64 (.f64 a 9))) (*.f64 rand 8))
(.f64 8 (/.f64 rand (.f64 (sqrt.f64 (*.f64 a 9)) 8)))
(.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))
(.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 rand rand)))))
(.f64 (/.f64 1 rand) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) (sqrt.f64 (.f64 a 9))) (/.f64 (sqrt.f64 (.f64 a 9)) (*.f64 rand rand))))
(/.f64 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 a 9)) rand)) rand)
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 a 9))) (+.f64 rand rand))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 1/2 (.f64 rand (/.f64 2 (sqrt.f64 (*.f64 a 9)))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (.f64 rand -2) (/.f64 1/2 (neg.f64 (sqrt.f64 (*.f64 a 9)))))
(.f64 (.f64 rand -2) (/.f64 -1/2 (sqrt.f64 (*.f64 a 9))))
(.f64 (/.f64 -1/2 (sqrt.f64 (.f64 a 9))) (*.f64 rand -2))
(.f64 -2 (.f64 rand (/.f64 -1/2 (sqrt.f64 (*.f64 a 9)))))
(.f64 (.f64 rand -2) (/.f64 1 (.f64 (sqrt.f64 (.f64 a 9)) -2)))
(.f64 (.f64 rand -2) (/.f64 1/2 (neg.f64 (sqrt.f64 (*.f64 a 9)))))
(.f64 (.f64 rand -2) (/.f64 -1/2 (sqrt.f64 (*.f64 a 9))))
(.f64 (/.f64 -1/2 (sqrt.f64 (.f64 a 9))) (*.f64 rand -2))
(.f64 -2 (.f64 rand (/.f64 -1/2 (sqrt.f64 (*.f64 a 9)))))
(.f64 (.f64 rand -2) (/.f64 1 (neg.f64 (.f64 (sqrt.f64 (.f64 a 9)) 2))))
(.f64 (.f64 rand -2) (/.f64 1/2 (neg.f64 (sqrt.f64 (*.f64 a 9)))))
(.f64 (.f64 rand -2) (/.f64 -1/2 (sqrt.f64 (*.f64 a 9))))
(.f64 (/.f64 -1/2 (sqrt.f64 (.f64 a 9))) (*.f64 rand -2))
(.f64 -2 (.f64 rand (/.f64 -1/2 (sqrt.f64 (*.f64 a 9)))))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 a 9)))) (.f64 rand 1/2))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 a 9))) -1)
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (/.f64 2 (sqrt.f64 (.f64 a 9))) (*.f64 rand 1/2))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (/.f64 1/2 rand) (/.f64 (.f64 (sqrt.f64 (.f64 a 9)) 2) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) rand))))
(.f64 (/.f64 1/2 rand) (.f64 2 (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (sqrt.f64 (.f64 a 9)) (*.f64 rand rand))))))
(.f64 (sqrt.f64 (.f64 a 9)) (.f64 (/.f64 1/2 rand) (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 2 (sqrt.f64 (*.f64 a 9)))))))
(.f64 2 (.f64 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 a 9)) rand)) (/.f64 1/2 rand)))
(.f64 (/.f64 1/2 rand) (/.f64 (+.f64 rand rand) (/.f64 (sqrt.f64 (.f64 a 9)) rand)))
(.f64 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 1/2 rand)) (/.f64 2 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) rand))))
(.f64 (/.f64 1/2 rand) (.f64 2 (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (sqrt.f64 (.f64 a 9)) (*.f64 rand rand))))))
(.f64 (sqrt.f64 (.f64 a 9)) (.f64 (/.f64 1/2 rand) (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 2 (sqrt.f64 (*.f64 a 9)))))))
(.f64 2 (.f64 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 a 9)) rand)) (/.f64 1/2 rand)))
(.f64 (/.f64 1/2 rand) (/.f64 (+.f64 rand rand) (/.f64 (sqrt.f64 (.f64 a 9)) rand)))
(.f64 (/.f64 (.f64 rand 1/2) (sqrt.f64 (*.f64 a 9))) 2)
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 1/4 (.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 4))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (.f64 rand 1/2) (/.f64 2 (sqrt.f64 (*.f64 a 9))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (/.f64 -1 rand) (/.f64 (neg.f64 (sqrt.f64 (.f64 a 9))) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (*.f64 a 9)) rand) rand))))
(.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 rand rand)))))
(.f64 (/.f64 1 rand) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) (sqrt.f64 (.f64 a 9))) (/.f64 (sqrt.f64 (.f64 a 9)) (*.f64 rand rand))))
(/.f64 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 a 9)) rand)) rand)
(.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 a 9)) 4)) (.f64 rand 4))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 a 9))) (neg.f64 rand))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(.f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 2 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) rand)))))
(.f64 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 2 rand)) (/.f64 1/2 (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (sqrt.f64 (.f64 a 9)) (*.f64 rand rand)))))
(.f64 (sqrt.f64 (.f64 a 9)) (.f64 (/.f64 2 rand) (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 1/2 (sqrt.f64 (*.f64 a 9)))))))
(.f64 (/.f64 2 rand) (.f64 1/2 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 a 9)) rand))))
(pow.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) 1)
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(neg.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 a 9))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) (neg.f64 rand)) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) rand))))
(.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 (sqrt.f64 (.f64 a 9)) (/.f64 (sqrt.f64 (.f64 a 9)) (.f64 rand rand)))))
(.f64 (/.f64 1 rand) (/.f64 (/.f64 (sqrt.f64 (.f64 a 9)) (sqrt.f64 (.f64 a 9))) (/.f64 (sqrt.f64 (.f64 a 9)) (*.f64 rand rand))))
(/.f64 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 a 9)) rand)) rand)
(neg.f64 (/.f64 (+.f64 rand rand) (neg.f64 (.f64 (sqrt.f64 (.f64 a 9)) 2))))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(+.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3)))
(+.f64 a (+.f64 -1/3 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(+.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1)) 0)
(+.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3)))
(+.f64 a (+.f64 -1/3 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(+.f64 0 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1)))
(+.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3)))
(+.f64 a (+.f64 -1/3 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(+.f64 (.f64 (+.f64 a -1/3) (+.f64 1/2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 a 9))))) (.f64 (+.f64 a -1/3) (+.f64 1/2 (/.f64 (.f64 rand 1/2) (sqrt.f64 (.f64 a 9))))))
(+.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3)))
(+.f64 a (+.f64 -1/3 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(-.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1)) 0)
(+.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3)))
(+.f64 a (+.f64 -1/3 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1)) 1)
(+.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3)))
(+.f64 a (+.f64 -1/3 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(/.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (.f64 rand (/.f64 2 (sqrt.f64 (*.f64 a 9)))))) 2)
(+.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3)))
(+.f64 a (+.f64 -1/3 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(/.f64 (.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1) (*.f64 (+.f64 a -1/3) 4)) 4)
(+.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3)))
(+.f64 a (+.f64 -1/3 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1) (.f64 (+.f64 a -1/3) 4))) 8)
(+.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3)))
(+.f64 a (+.f64 -1/3 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1) (*.f64 (+.f64 a -1/3) 4)))) 16)
(+.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3)))
(+.f64 a (+.f64 -1/3 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(pow.f64 (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1)) 1)
(+.f64 (+.f64 a -1/3) (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3)))
(+.f64 a (+.f64 -1/3 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (+.f64 a -1/3))))
(.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 a) rand)
✓	0.4b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))

Compiler

Compiled 17 to 7 computations (58.8% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 (sqrt.f64 a) rand)
0.0ms	a	@	-inf	(*.f64 (sqrt.f64 a) rand)
0.0ms	rand	@	-inf	(*.f64 (sqrt.f64 a) rand)
0.0ms	a	@	inf	(*.f64 (sqrt.f64 a) rand)
0.0ms	a	@	-inf	(.f64 1/3 (.f64 (sqrt.f64 a) rand))

rewrite206.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

2718×	`rational.json-simplify-2`
1542×	`rational.json-simplify-35`
1470×	`rational.json-1`
1200×	`exponential.json-3`
1200×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	60	28
2	133	28
3	274	28
4	499	28
5	1136	28
6	2322	28
7	3813	28
8	4766	28
9	5855	28
10	6712	28
11	6712	28
12	7985	28

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) rand)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) 1/6) (*.f64 (*.f64 (sqrt.f64 a) rand) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (*.f64 (sqrt.f64 a) 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 4/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (*.f64 (sqrt.f64 a) rand)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 8/3 (*.f64 (sqrt.f64 a) rand))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 8/3 (*.f64 (sqrt.f64 a) rand)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 8/3 (*.f64 (sqrt.f64 a) rand))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 8/3 (*.f64 (sqrt.f64 a) rand)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 8/3 (*.f64 (sqrt.f64 a) rand))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 a) rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 rand (*.f64 (sqrt.f64 a) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 a) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (*.f64 (sqrt.f64 a) 2/3)) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/2)) (*.f64 (sqrt.f64 a) (*.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 a) rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) (+.f64 rand rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 a) rand) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 a) rand) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 a) rand) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 a) rand) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 a) rand) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) rand) 1)))))

simplify207.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2870×	`rational.json-simplify-41`
1892×	`rational.json-simplify-35`
1682×	`rational.json-simplify-2`
1198×	`exponential.json-simplify-26`
924×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	414
1	200	414
2	440	414
3	1118	414
4	2754	414
5	3513	414
6	3815	414
7	3981	414
8	4116	414
9	4234	414
10	6993	414
11	7737	414

Stop Event

1×	node limit

Counts

30 → 32

Calls

Call 1

Inputs
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 0)
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 a) rand)))
(+.f64 (.f64 (.f64 (sqrt.f64 a) rand) 1/6) (.f64 (.f64 (sqrt.f64 a) rand) 1/6))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 0)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 1)
(/.f64 (.f64 rand (.f64 (sqrt.f64 a) 2/3)) 2)
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 4/3)) 4)
(/.f64 (.f64 8/3 (.f64 (sqrt.f64 a) rand)) 8)
(/.f64 (.f64 2 (.f64 8/3 (*.f64 (sqrt.f64 a) rand))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 8/3 (.f64 (sqrt.f64 a) rand)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 8/3 (*.f64 (sqrt.f64 a) rand))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 8/3 (.f64 (sqrt.f64 a) rand)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 8/3 (*.f64 (sqrt.f64 a) rand))))))) 256)
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 1)
(+.f64 (*.f64 (sqrt.f64 a) rand) 0)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (.f64 rand (.f64 (sqrt.f64 a) 2/3)))
(+.f64 0 (*.f64 (sqrt.f64 a) rand))
(+.f64 (.f64 rand (.f64 (sqrt.f64 a) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 a) rand)))
(+.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/2)) (.f64 (sqrt.f64 a) (.f64 rand 1/2)))
(-.f64 (*.f64 (sqrt.f64 a) rand) 0)
(/.f64 (*.f64 (sqrt.f64 a) rand) 1)
(/.f64 (*.f64 (sqrt.f64 a) (+.f64 rand rand)) 2)
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 4)) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 a) rand) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 a) rand) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 a) rand) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (sqrt.f64 a) rand) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 a) rand) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (sqrt.f64 a) rand) 8)))))) 256)
(pow.f64 (*.f64 (sqrt.f64 a) rand) 1)

Outputs
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 0)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(+.f64 0 (.f64 1/3 (.f64 (sqrt.f64 a) rand)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(+.f64 (.f64 (.f64 (sqrt.f64 a) rand) 1/6) (.f64 (.f64 (sqrt.f64 a) rand) 1/6))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(-.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 0)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 1)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 rand (.f64 (sqrt.f64 a) 2/3)) 2)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 4/3)) 4)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 8/3 (.f64 (sqrt.f64 a) rand)) 8)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 2 (.f64 8/3 (*.f64 (sqrt.f64 a) rand))) 16)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 2 (.f64 2 (.f64 8/3 (.f64 (sqrt.f64 a) rand)))) 32)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 8/3 (*.f64 (sqrt.f64 a) rand))))) 64)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 8/3 (.f64 (sqrt.f64 a) rand)))))) 128)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 8/3 (*.f64 (sqrt.f64 a) rand))))))) 256)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(pow.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) 1)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(+.f64 (*.f64 (sqrt.f64 a) rand) 0)
(*.f64 (sqrt.f64 a) rand)
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (.f64 rand (.f64 (sqrt.f64 a) 2/3)))
(*.f64 (sqrt.f64 a) rand)
(+.f64 0 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) rand)
(+.f64 (.f64 rand (.f64 (sqrt.f64 a) 2/3)) (.f64 1/3 (.f64 (sqrt.f64 a) rand)))
(*.f64 (sqrt.f64 a) rand)
(+.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/2)) (.f64 (sqrt.f64 a) (.f64 rand 1/2)))
(*.f64 (sqrt.f64 a) rand)
(-.f64 (*.f64 (sqrt.f64 a) rand) 0)
(*.f64 (sqrt.f64 a) rand)
(/.f64 (*.f64 (sqrt.f64 a) rand) 1)
(*.f64 (sqrt.f64 a) rand)
(/.f64 (*.f64 (sqrt.f64 a) (+.f64 rand rand)) 2)
(*.f64 (sqrt.f64 a) rand)
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 4)) 4)
(*.f64 (sqrt.f64 a) rand)
(/.f64 (.f64 (.f64 (sqrt.f64 a) rand) 8) 8)
(*.f64 (sqrt.f64 a) rand)
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 a) rand) 8)) 16)
(*.f64 (sqrt.f64 a) rand)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 a) rand) 8))) 32)
(*.f64 (sqrt.f64 a) rand)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (sqrt.f64 a) rand) 8)))) 64)
(*.f64 (sqrt.f64 a) rand)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 a) rand) 8))))) 128)
(*.f64 (sqrt.f64 a) rand)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (sqrt.f64 a) rand) 8)))))) 256)
(*.f64 (sqrt.f64 a) rand)
(pow.f64 (*.f64 (sqrt.f64 a) rand) 1)
(*.f64 (sqrt.f64 a) rand)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(*.f64 rand 1/3)
✓	0.4b	(.f64 (sqrt.f64 a) (.f64 rand 1/3))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 (sqrt.f64 a) (.f64 rand 1/3))
0.0ms	a	@	-inf	(.f64 (sqrt.f64 a) (.f64 rand 1/3))
0.0ms	a	@	inf	(.f64 (sqrt.f64 a) (.f64 rand 1/3))
0.0ms	rand	@	inf	(.f64 (sqrt.f64 a) (.f64 rand 1/3))
0.0ms	rand	@	-inf	(.f64 (sqrt.f64 a) (.f64 rand 1/3))

rewrite176.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2872×	`rational.json-simplify-2`
1530×	`rational.json-simplify-35`
1248×	`exponential.json-3`
1248×	`rational.json-1`
1248×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	60	17
2	133	17
3	273	17
4	498	17
5	1146	17
6	2333	17
7	3824	17
8	4857	17
9	6026	17
10	6989	17
11	6989	17

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(.f64 (sqrt.f64 a) (.f64 rand 1/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/6)) (*.f64 (sqrt.f64 a) (*.f64 rand 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4/3 (*.f64 (sqrt.f64 a) (*.f64 rand 1/6))) (*.f64 (sqrt.f64 a) (*.f64 2/3 (*.f64 rand 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 4/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (*.f64 (sqrt.f64 a) 8/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 rand (*.f64 (sqrt.f64 a) 8/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 rand (*.f64 (sqrt.f64 a) 8/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 rand (*.f64 (sqrt.f64 a) 8/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 rand (*.f64 (sqrt.f64 a) 8/3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 rand (*.f64 (sqrt.f64 a) 8/3))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)) 1)))))

simplify570.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3478×	`rational.json-simplify-35`
2474×	`rational.json-simplify-2`
1730×	`rational.json-simplify-53`
930×	`rational.json-simplify-1`
910×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	459
1	149	459
2	306	459
3	672	459
4	1962	459
5	3669	459
6	4683	459
7	4967	459
8	5141	459
9	5310	459
10	5479	459
11	6457	459
12	6728	459
13	6861	459
14	6985	459
15	7023	459
16	7188	459
17	7354	459
18	7520	459
19	7716	459
20	7882	459

Stop Event

1×	node limit

Counts

27 → 17

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(+.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/3)) 0)
(+.f64 0 (.f64 (sqrt.f64 a) (.f64 rand 1/3)))
(+.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/6)) (.f64 (sqrt.f64 a) (.f64 rand 1/6)))
(+.f64 (.f64 4/3 (.f64 (sqrt.f64 a) (.f64 rand 1/6))) (.f64 (sqrt.f64 a) (.f64 2/3 (.f64 rand 1/6))))
(-.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/3)) 0)
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/3)) 1)
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 2/3)) 2)
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 4/3)) 4)
(/.f64 (.f64 rand (.f64 (sqrt.f64 a) 8/3)) 8)
(/.f64 (.f64 2 (.f64 rand (*.f64 (sqrt.f64 a) 8/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 rand (.f64 (sqrt.f64 a) 8/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 rand (*.f64 (sqrt.f64 a) 8/3))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 rand (.f64 (sqrt.f64 a) 8/3)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 rand (*.f64 (sqrt.f64 a) 8/3))))))) 256)
(pow.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/3)) 1)

Outputs
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(+.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/3)) 0)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(+.f64 0 (.f64 (sqrt.f64 a) (.f64 rand 1/3)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(+.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/6)) (.f64 (sqrt.f64 a) (.f64 rand 1/6)))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(+.f64 (.f64 4/3 (.f64 (sqrt.f64 a) (.f64 rand 1/6))) (.f64 (sqrt.f64 a) (.f64 2/3 (.f64 rand 1/6))))
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(-.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/3)) 0)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/3)) 1)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 2/3)) 2)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(/.f64 (.f64 (sqrt.f64 a) (.f64 rand 4/3)) 4)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(/.f64 (.f64 rand (.f64 (sqrt.f64 a) 8/3)) 8)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(/.f64 (.f64 2 (.f64 rand (*.f64 (sqrt.f64 a) 8/3))) 16)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(/.f64 (.f64 2 (.f64 2 (.f64 rand (.f64 (sqrt.f64 a) 8/3)))) 32)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 rand (*.f64 (sqrt.f64 a) 8/3))))) 64)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 rand (.f64 (sqrt.f64 a) 8/3)))))) 128)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 rand (*.f64 (sqrt.f64 a) 8/3))))))) 256)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(pow.f64 (.f64 (sqrt.f64 a) (.f64 rand 1/3)) 1)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))
✓	0.2b	(/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)
✓	0.4b	(sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))
✓	21.1b	(.f64 (/.f64 2 rand) (.f64 1/2 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))))

Compiler

Compiled 116 to 88 computations (24.1% saved)

series13.0ms (0.1%)

Counts

4 → 52

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	(/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)
1.0ms	a	@	-inf	(/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))
1.0ms	a	@	inf	(/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))
1.0ms	a	@	0	(/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))
1.0ms	a	@	-inf	(/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2160×	`rational.json-1`
1168×	`exponential.json-3`
1168×	`rational.json-2`
1168×	`rational.json-4`
1168×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	116
1	118	116
2	269	116
3	736	104
4	2838	104
5	7785	104

Stop Event

1×	node limit

Counts

4 → 146

Calls

Call 1

Inputs
(.f64 (/.f64 2 rand) (.f64 1/2 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))))
(sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)
(/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 2 (.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 rand) (.f64 2 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 rand) (/.f64 (.f64 4 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 rand) (/.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 4)) (.f64 rand 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 rand) (/.f64 (.f64 2 (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 4))) (.f64 2 (.f64 rand 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 rand) (/.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) -2)) (.f64 rand -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (.f64 rand 1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) (.f64 rand 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) (/.f64 1 (/.f64 2 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) (/.f64 (neg.f64 rand) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) (/.f64 1/2 (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (neg.f64 rand) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (.f64 rand 4) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (+.f64 rand rand) (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 rand rand) (/.f64 (+.f64 rand rand) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 2 rand)) (.f64 4 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (.f64 rand 4) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 rand) (/.f64 (.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 rand) (/.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 rand) (-.f64 0 (.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand)) (.f64 rand -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (.f64 2 (.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand 1/2) (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (neg.f64 rand) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (.f64 rand 4) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) (+.f64 rand rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) (.f64 4 (.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 rand (.f64 rand 4)) (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (.f64 rand 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 8)) (.f64 2 (.f64 rand 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) -2)) (.f64 rand -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 rand rand)) (.f64 2 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 8)) 2) (.f64 rand 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) -2)) 2) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) rand) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 rand 1/2)) (-.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (.f64 rand 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (.f64 rand (.f64 rand 4)) (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (neg.f64 (.f64 rand 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 rand)) (neg.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 rand)) (-.f64 0 (.f64 2 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))) (neg.f64 (.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (-.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (.f64 rand 1/2) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 8)) 2)) (neg.f64 (.f64 rand 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) -2)) 2)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))) (.f64 rand 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (+.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 rand) (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (/.f64 1 rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 1/2 rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (.f64 1/2 (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4) (/.f64 1 (.f64 rand 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 rand) (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 -1 rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 rand) (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 1 rand)) (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (+.f64 rand rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 2) (/.f64 2 rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 rand 4)) (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 rand) (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/2 rand) (/.f64 1/2 rand)) (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) (neg.f64 rand)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 rand rand) (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 rand rand) (.f64 (/.f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand 4) (/.f64 1 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand 4) (.f64 (/.f64 1 (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand 4) (.f64 (/.f64 2 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4)) (.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 rand) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (/.f64 rand (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 1 (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (.f64 rand 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 rand 4)) (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4)) (.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (+.f64 rand rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand -2) (.f64 (/.f64 -1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (.f64 rand (.f64 rand 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 1 rand)) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 rand (/.f64 1 rand)) (/.f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 4)) (.f64 rand 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand)) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) (neg.f64 rand))))))))

simplify159.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1122×	`rational.json-simplify-54`
802×	`rational.json-simplify-35`
782×	`rational.json-simplify-1`
658×	`rational.json-simplify-51`
540×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	386	6660
1	1147	5996
2	3946	5916
3	7519	5910

Stop Event

1×	node limit

Counts

198 → 233

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (.f64 3 (sqrt.f64 -1/3)))))
(*.f64 3 (/.f64 (sqrt.f64 -1/3) rand))
(+.f64 (.f64 3 (/.f64 (sqrt.f64 -1/3) rand)) (.f64 3/2 (/.f64 a (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (.f64 3 (/.f64 (sqrt.f64 -1/3) rand)) (+.f64 (.f64 3/2 (/.f64 a (.f64 rand (sqrt.f64 -1/3)))) (.f64 -3/8 (/.f64 (pow.f64 a 2) (*.f64 rand (pow.f64 (sqrt.f64 -1/3) 3))))))
(+.f64 (.f64 3/16 (/.f64 (pow.f64 a 3) (.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)))) (+.f64 (.f64 3 (/.f64 (sqrt.f64 -1/3) rand)) (+.f64 (.f64 3/2 (/.f64 a (.f64 rand (sqrt.f64 -1/3)))) (.f64 -3/8 (/.f64 (pow.f64 a 2) (*.f64 rand (pow.f64 (sqrt.f64 -1/3) 3)))))))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (pow.f64 rand 2)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (pow.f64 rand 2)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (pow.f64 rand 2)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (pow.f64 rand 2)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (pow.f64 rand 2)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (pow.f64 rand 2)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (pow.f64 rand 2)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (pow.f64 rand 2)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (pow.f64 rand 2)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (pow.f64 rand 2)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (pow.f64 rand 2)))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) (pow.f64 rand 2)))
(.f64 1/3 (.f64 (pow.f64 rand 2) (sqrt.f64 -3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 rand 2) (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a (pow.f64 rand 2)) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 rand 2) (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 2) (pow.f64 rand 2))) (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (*.f64 a (pow.f64 rand 2)) (sqrt.f64 -3)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 rand 2) (sqrt.f64 -3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (.f64 (pow.f64 a 2) (pow.f64 rand 2))) (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a (pow.f64 rand 2)) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 81 (.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) (pow.f64 rand 2))) (sqrt.f64 -3))))))
(+.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)) 0)
(+.f64 0 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)))
(-.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)) 0)
(/.f64 2 (.f64 2 (.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand)))))
(/.f64 rand (.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand)))
(/.f64 (/.f64 2 rand) (.f64 2 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (*.f64 rand rand))))
(/.f64 (/.f64 2 rand) (/.f64 (.f64 4 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (*.f64 rand rand))) 2))
(/.f64 (/.f64 2 rand) (/.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 4)) (.f64 rand 4)))
(/.f64 (/.f64 2 rand) (/.f64 (.f64 2 (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 4))) (.f64 2 (.f64 rand 4))))
(/.f64 (/.f64 2 rand) (/.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) -2)) (.f64 rand -2)))
(/.f64 1/2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (*.f64 rand 1/2) rand)))
(/.f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) rand)
(/.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) (.f64 rand 1/2))
(/.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))) (/.f64 1 (/.f64 2 rand)))
(/.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))) (/.f64 (neg.f64 rand) -2))
(/.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))) (/.f64 1/2 (/.f64 1 rand)))
(/.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)) 1)
(/.f64 1 (.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (*.f64 rand rand))))
(/.f64 1 (-.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (neg.f64 rand) rand))))
(/.f64 4 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (*.f64 rand 4) rand)))
(/.f64 4 (/.f64 (+.f64 rand rand) (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))))))
(/.f64 (+.f64 rand rand) (/.f64 (+.f64 rand rand) (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))))
(/.f64 (.f64 2 (.f64 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand))) 2)
(/.f64 (.f64 2 (/.f64 2 rand)) (.f64 4 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand))))
(/.f64 8 (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (.f64 rand 4) rand))))
(/.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand)))
(/.f64 (/.f64 1 rand) (/.f64 (.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand))) -1))
(/.f64 (/.f64 1 rand) (/.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand))) -1))
(/.f64 (neg.f64 rand) (-.f64 0 (.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand))))
(/.f64 -2 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand)) (.f64 rand -2)))
(/.f64 -2 (-.f64 0 (.f64 2 (.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand))))))
(/.f64 (.f64 rand 1/2) (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (.f64 rand 1/2)))
(/.f64 -1 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (neg.f64 rand) rand)))
(/.f64 -1 (-.f64 0 (.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (*.f64 rand rand)))))
(/.f64 (.f64 (.f64 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)) 4) 4)
(/.f64 -4 (-.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (*.f64 rand 4) rand))))
(/.f64 (.f64 2 (.f64 rand (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))) (+.f64 rand rand))
(/.f64 (.f64 2 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) (.f64 4 (*.f64 rand 1/2)))
(/.f64 (/.f64 (.f64 rand (.f64 rand 4)) (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (.f64 rand 4))
(/.f64 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 8)) (.f64 2 (*.f64 rand 4)))
(/.f64 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) -2)) (.f64 rand -2))
(/.f64 (.f64 2 (.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)) 4)) 8)
(/.f64 (.f64 2 (/.f64 rand rand)) (.f64 2 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)))
(/.f64 (/.f64 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 8)) 2) (.f64 rand 4))
(/.f64 (/.f64 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand) -2)) 2) (neg.f64 rand))
(/.f64 (/.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))) rand) 1/2)
(/.f64 (neg.f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) (neg.f64 rand))
(/.f64 (neg.f64 (.f64 rand 1/2)) (-.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (.f64 rand 1/2))))
(/.f64 (neg.f64 (/.f64 (.f64 rand (.f64 rand 4)) (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (neg.f64 (.f64 rand 4)))
(/.f64 (neg.f64 (/.f64 1 rand)) (neg.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (.f64 rand rand))))
(/.f64 (neg.f64 (/.f64 2 rand)) (-.f64 0 (.f64 2 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (*.f64 rand rand)))))
(/.f64 (neg.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))) (neg.f64 (.f64 rand 1/2)))
(/.f64 -1/2 (-.f64 0 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) (/.f64 (*.f64 rand 1/2) rand))))
(/.f64 (neg.f64 (/.f64 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 8)) 2)) (neg.f64 (.f64 rand 4)))
(/.f64 (neg.f64 (/.f64 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand) -2)) 2)) rand)
(/.f64 (neg.f64 (neg.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))) (.f64 rand 1/2))
(pow.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand rand)) 1)
(+.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) 0)
(+.f64 0 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))
(+.f64 -1 (-.f64 1 (neg.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))))
(-.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))
(.f64 2 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 2))
(.f64 1/2 (.f64 2 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))
(.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 1)
(.f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))
(.f64 (.f64 2 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))) 1/2)
(.f64 (.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) 4) 1/4)
(.f64 (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) -1)
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))
(.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) 4))
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) 1)
(/.f64 (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4) 4)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))) -1)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) 4)) 8)
(pow.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))
(+.f64 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand) 0)
(+.f64 0 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))
(-.f64 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand) 0)
(-.f64 0 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) (neg.f64 rand)))
(.f64 2 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (+.f64 rand rand)))
(.f64 2 (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 2))
(.f64 2 (.f64 (/.f64 1/2 rand) (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))
(.f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 2))
(.f64 1/2 (.f64 2 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)))
(.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (/.f64 1 rand))
(.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 1)
(.f64 1 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand))
(.f64 (.f64 2 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))) (/.f64 1/2 rand))
(.f64 (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (.f64 1/2 (/.f64 1 rand)))
(.f64 (.f64 2 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)) 1/2)
(.f64 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4) (/.f64 1 (.f64 rand 4)))
(.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand) 4) 1/4)
(.f64 (/.f64 1 rand) (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))
(.f64 (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 -1 rand))
(.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand)) -1)
(.f64 -1 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand)))
(.f64 (/.f64 1/2 rand) (.f64 2 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))
(.f64 (.f64 1/2 (/.f64 1 rand)) (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))
(.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (+.f64 rand rand)) 2)
(.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 2) (/.f64 2 rand))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 2) 2)
(.f64 (/.f64 1 (.f64 rand 4)) (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4))
(.f64 1/4 (.f64 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand) 4))
(.f64 (/.f64 -1 rand) (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))
(.f64 (+.f64 (/.f64 1/2 rand) (/.f64 1/2 rand)) (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand) 1)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) (neg.f64 rand)))
(+.f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) 0)
(+.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(+.f64 0 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(-.f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) 0)
(.f64 2 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))
(.f64 1/2 (.f64 2 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(.f64 (.f64 rand (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))) 1)
(.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) 2)
(.f64 1 (.f64 rand (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))))
(.f64 4 (.f64 (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (*.f64 rand 1/2)))
(.f64 (+.f64 rand rand) (.f64 1/2 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))))
(.f64 (+.f64 rand rand) (.f64 (/.f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (.f64 rand 1/2)))
(.f64 (.f64 rand 4) (/.f64 1 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 4)))
(.f64 (.f64 rand 4) (.f64 (/.f64 1 (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (.f64 rand 1/2)))
(.f64 (.f64 rand 4) (.f64 (/.f64 2 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4)) (.f64 rand 1/2)))
(.f64 (neg.f64 rand) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand)))
(.f64 -2 (.f64 (/.f64 rand (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (.f64 rand 1/2)))
(.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) rand)
(.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 1 (/.f64 1 rand)))
(.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand))))
(.f64 (.f64 2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (.f64 rand 1/2))
(.f64 (.f64 2 (.f64 rand 4)) (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4)) (*.f64 rand 1/2)))
(.f64 (.f64 2 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) 1/2)
(.f64 (/.f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand (/.f64 1 rand)))
(.f64 (.f64 1/2 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))) (+.f64 rand rand))
(.f64 (.f64 rand -2) (.f64 (/.f64 -1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (*.f64 rand 1/2)))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (.f64 rand (*.f64 rand 1/2)))
(.f64 (/.f64 1 (/.f64 1 rand)) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))
(.f64 (/.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand))) -1)
(.f64 (/.f64 rand (/.f64 1 rand)) (/.f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))
(.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 4)) (.f64 rand 4))
(.f64 (/.f64 -1 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand)) (neg.f64 rand))
(pow.f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) 1)
(neg.f64 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) (neg.f64 rand))))

Outputs
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 -3)))
(.f64 (sqrt.f64 -3) (.f64 1/3 rand))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (.f64 -3/2 (.f64 a (/.f64 rand (sqrt.f64 -3)))))
(.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -3)) (*.f64 (/.f64 a (sqrt.f64 -3)) -3/2)))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 a rand) (sqrt.f64 -3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
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(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(.f64 (/.f64 1 rand) (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(.f64 (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 -1 rand))
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand)) -1)
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(.f64 -1 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand)))
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(.f64 (/.f64 1/2 rand) (.f64 2 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))))
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(.f64 (.f64 1/2 (/.f64 1 rand)) (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (+.f64 rand rand)) 2)
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 2) (/.f64 2 rand))
(.f64 (/.f64 2 rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 a -1/3))) 2))
(.f64 (/.f64 2 rand) (.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) 1/2))
(/.f64 (sqrt.f64 (.f64 9 (+.f64 a -1/3))) (.f64 2 (/.f64 rand 2)))
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 2) 2)
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(.f64 (/.f64 1 (.f64 rand 4)) (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4))
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(.f64 1/4 (.f64 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand) 4))
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(.f64 (/.f64 -1 rand) (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(.f64 (+.f64 (/.f64 1/2 rand) (/.f64 1/2 rand)) (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand) 1)
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) (neg.f64 rand)))
(/.f64 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))) rand)
(+.f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) 0)
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(+.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(+.f64 0 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(-.f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) 0)
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 2 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 1/2 (.f64 2 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (.f64 rand (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))) 1)
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (.f64 rand (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) 2)
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 1 (.f64 rand (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 4 (.f64 (.f64 1/2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (*.f64 rand 1/2)))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (+.f64 rand rand) (.f64 1/2 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (+.f64 rand rand) (.f64 (/.f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (.f64 rand 1/2)))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (.f64 rand 4) (/.f64 1 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 4)))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (.f64 rand 4) (.f64 (/.f64 1 (.f64 2 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (.f64 rand 1/2)))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 9 (+.f64 a -1/3)))) (.f64 (.f64 rand 1/2) (*.f64 rand 4)))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 9 (+.f64 a -1/3)))) (.f64 rand (.f64 rand 2)))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 9 (+.f64 a -1/3)))) (*.f64 rand (+.f64 rand rand)))
(.f64 (.f64 rand 4) (.f64 (/.f64 2 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4)) (.f64 rand 1/2)))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 9 (+.f64 a -1/3)))) (.f64 (.f64 rand 1/2) (*.f64 rand 4)))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 9 (+.f64 a -1/3)))) (.f64 rand (.f64 rand 2)))
(.f64 (/.f64 1/2 (sqrt.f64 (.f64 9 (+.f64 a -1/3)))) (*.f64 rand (+.f64 rand rand)))
(.f64 (neg.f64 rand) (/.f64 -1 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand)))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 -2 (.f64 (/.f64 rand (neg.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (.f64 rand 1/2)))
(.f64 (/.f64 rand (neg.f64 (sqrt.f64 (.f64 9 (+.f64 a -1/3))))) (.f64 (.f64 rand 1/2) -2))
(.f64 -2 (.f64 1/2 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))) (neg.f64 rand))))
(.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3)))) (.f64 -1 (.f64 rand 1)))
(.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) rand)
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 1 (/.f64 1 rand)))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand))))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (.f64 2 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (.f64 rand 1/2))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (.f64 2 (.f64 rand 4)) (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) 4)) (*.f64 rand 1/2)))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 9 (+.f64 a -1/3))) 4)) (.f64 (.f64 rand 1/2) (.f64 rand 8)))
(.f64 rand (.f64 8 (.f64 rand (.f64 1/2 (/.f64 1/4 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))))))
(.f64 (/.f64 1/4 (sqrt.f64 (.f64 9 (+.f64 a -1/3)))) (.f64 1 (.f64 4 (*.f64 rand rand))))
(.f64 (.f64 4 (.f64 rand rand)) (/.f64 1/4 (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(.f64 (.f64 2 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))) 1/2)
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (/.f64 rand (/.f64 1 rand)))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (.f64 1/2 (/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))))) (+.f64 rand rand))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (.f64 rand -2) (.f64 (/.f64 -1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))) (*.f64 rand 1/2)))
(.f64 (/.f64 rand (neg.f64 (sqrt.f64 (.f64 9 (+.f64 a -1/3))))) (.f64 (.f64 rand 1/2) -2))
(.f64 -2 (.f64 1/2 (.f64 (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))) (neg.f64 rand))))
(.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3)))) (.f64 -1 (.f64 rand 1)))
(.f64 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) (.f64 rand (*.f64 rand 1/2)))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (/.f64 1 (/.f64 1 rand)) (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (/.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (neg.f64 rand))) -1)
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (/.f64 rand (/.f64 1 rand)) (/.f64 1 (sqrt.f64 (.f64 9 (+.f64 -1/3 a)))))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (/.f64 1 (.f64 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand) 4)) (.f64 rand 4))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(.f64 (/.f64 -1 (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand)) (neg.f64 rand))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(pow.f64 (.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 -1/3 a))))) 1)
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))
(neg.f64 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) (neg.f64 rand))))
(.f64 rand (/.f64 rand (sqrt.f64 (.f64 9 (+.f64 a -1/3)))))
(/.f64 (.f64 rand rand) (sqrt.f64 (.f64 9 (+.f64 a -1/3))))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f64 (-.f64 (*.f64 2 a) 2/3))
✓	0.3b	(.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (*.f64 (sqrt.f64 1/2) rand))
✓	0.4b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
✓	0.4b	(*.f64 (sqrt.f64 1/2) rand)

Compiler

Compiled 52 to 42 computations (19.2% saved)

series7.0ms (0%)

Counts

4 → 12

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
1.0ms	a	@	-inf	(.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (*.f64 (sqrt.f64 1/2) rand))
0.0ms	a	@	-inf	(sqrt.f64 (-.f64 (*.f64 2 a) 2/3))
0.0ms	a	@	inf	(.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (*.f64 (sqrt.f64 1/2) rand))
0.0ms	rand	@	-inf	(.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (*.f64 (sqrt.f64 1/2) rand))

rewrite126.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`rational.json-simplify-35`
1528×	`exponential.json-3`
1528×	`rational.json-1`
1528×	`rational.json-2`
1528×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	100
1	106	100
2	210	92
3	433	92
4	840	92
5	2118	92
6	4068	92
7	5720	92
8	6804	92

Stop Event

1×	node limit

Counts

4 → 64

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) rand)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (*.f64 (sqrt.f64 1/2) rand))
(sqrt.f64 (-.f64 (*.f64 2 a) 2/3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 1/2) rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 1/2) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) rand)) (.f64 1/2 (.f64 (sqrt.f64 1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 1/2) rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 1/2) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 1/2) (+.f64 rand rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 1/2) (.f64 rand 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (.f64 rand 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 1/2) (.f64 rand 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 1/2) (.f64 rand 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 1/2) (.f64 rand 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 1/2) (.f64 rand 4))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) rand) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 rand (.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 1/6) (.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 4/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 4/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 4/3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (*.f64 1/2 (+.f64 (+.f64 a a) -2/3))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))))) (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 2/3)) (.f64 rand (.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (/.f64 rand 2)) (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (/.f64 rand 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 rand rand) (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 4))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))) (.f64 1/2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 1)))))

simplify170.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2906×	`rational.json-simplify-51`
1670×	`rational.json-simplify-53`
1488×	`rational.json-simplify-35`
830×	`rational.json-simplify-1`
706×	`rational.json-simplify-43`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	178	2242
1	443	2224
2	999	2108
3	2478	2108
4	4022	2108
5	5605	2108
6	5947	2108
7	6210	2108
8	6400	2078

Stop Event

1×	node limit

Counts

76 → 119

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -2/3) rand)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 a rand)) (sqrt.f64 -2/3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 a rand)) (sqrt.f64 -2/3))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a 2) rand)) (pow.f64 (sqrt.f64 -2/3) 3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -2/3) rand)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 a rand)) (sqrt.f64 -2/3))) (+.f64 (.f64 1/6 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a 3) rand)) (pow.f64 (sqrt.f64 -2/3) 5))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a 2) rand)) (pow.f64 (sqrt.f64 -2/3) 3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand))))))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 a rand)) (sqrt.f64 -2/3)) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand)))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 a rand)) (sqrt.f64 -2/3)) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand)) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a 2) rand)) (pow.f64 (sqrt.f64 -2/3) 3)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 a rand)) (sqrt.f64 -2/3)) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a 3) rand)) (pow.f64 (sqrt.f64 -2/3) 5))) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand)) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a 2) rand)) (pow.f64 (sqrt.f64 -2/3) 3))))))
(sqrt.f64 -2/3)
(+.f64 (/.f64 a (sqrt.f64 -2/3)) (sqrt.f64 -2/3))
(+.f64 (/.f64 a (sqrt.f64 -2/3)) (+.f64 (sqrt.f64 -2/3) (*.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -2/3) 3)))))
(+.f64 (/.f64 a (sqrt.f64 -2/3)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -2/3) 5))) (+.f64 (sqrt.f64 -2/3) (.f64 -1/2 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -2/3) 3))))))
(+.f64 (*.f64 (sqrt.f64 1/2) rand) 0)
(+.f64 0 (*.f64 (sqrt.f64 1/2) rand))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) rand)) (.f64 1/2 (.f64 (sqrt.f64 1/2) rand)))
(-.f64 (*.f64 (sqrt.f64 1/2) rand) 0)
(/.f64 (*.f64 (sqrt.f64 1/2) rand) 1)
(/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 rand rand)) 2)
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 rand 4)) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (*.f64 rand 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 1/2) (.f64 rand 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 1/2) (*.f64 rand 4))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 1/2) (.f64 rand 4)))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 1/2) (*.f64 rand 4))))))) 128)
(pow.f64 (*.f64 (sqrt.f64 1/2) rand) 1)
(+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (*.f64 1/2 (+.f64 (+.f64 a a) -2/3))))) 0)
(+.f64 0 (.f64 rand (.f64 1/3 (sqrt.f64 (*.f64 1/2 (+.f64 (+.f64 a a) -2/3))))))
(+.f64 (.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 1/6) (.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 1/6))
(-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (*.f64 1/2 (+.f64 (+.f64 a a) -2/3))))) 0)
(/.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (*.f64 1/2 (+.f64 (+.f64 a a) -2/3))))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (*.f64 rand 2/3)) 2)
(/.f64 (.f64 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 4/3) 4)
(/.f64 (.f64 2 (.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 4/3)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 4/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 4/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 rand (sqrt.f64 (*.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 4/3))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 4/3)))))) 128)
(pow.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (*.f64 1/2 (+.f64 (+.f64 a a) -2/3))))) 1)
(+.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 0)
(+.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))))) (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 2/3)))
(+.f64 0 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))))
(+.f64 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 2/3)) (.f64 rand (.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))))))
(+.f64 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (/.f64 rand 2)) (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (/.f64 rand 2)))
(-.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 0)
(/.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 1)
(/.f64 (.f64 (+.f64 rand rand) (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (*.f64 rand 4)) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (*.f64 rand 4)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 4))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (*.f64 rand 4)))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 4))))))) 128)
(pow.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 1)
(+.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 0)
(+.f64 0 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)))
(+.f64 (.f64 1/2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))) (.f64 1/2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))))
(-.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 0)
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))))
(.f64 2 (.f64 1/2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 1)
(*.f64 1 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)))
(.f64 (.f64 2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))) 1/2)
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4))
(.f64 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4) 1/4)
(.f64 (.f64 1/2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))) 2)
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4) 4)
(/.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 1)
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4)))))) 128)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 1)

Outputs
(.f64 1/3 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -2/3) rand)))
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.f64 rand (.f64 (sqrt.f64 -1/3) 1/3))
(+.f64 (.f64 1/3 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 a rand)) (sqrt.f64 -2/3))) (.f64 1/3 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand))))
(+.f64 (.f64 1/3 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand))) (.f64 1/3 (.f64 (.f64 rand a) (/.f64 (sqrt.f64 1/2) (sqrt.f64 -2/3)))))
(.f64 1/3 (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2/3) rand)) (.f64 (sqrt.f64 1/2) (/.f64 (*.f64 rand a) (sqrt.f64 -2/3)))))
(.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) rand) (+.f64 (sqrt.f64 -2/3) (/.f64 a (sqrt.f64 -2/3)))))
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(.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 4))))) 32)
(.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (*.f64 rand 4)))))) 64)
(.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3))) (.f64 rand 4))))))) 128)
(.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(pow.f64 (.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 (+.f64 a a) -2/3)))) 1)
(.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 -2/3 (+.f64 a a)))))
(.f64 rand (sqrt.f64 (.f64 1/2 (+.f64 a (+.f64 -2/3 a)))))
(+.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 0)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(+.f64 0 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)))
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(+.f64 (.f64 1/2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))) (.f64 1/2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))))
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(-.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 0)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))))
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(.f64 2 (.f64 1/2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))))
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(*.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 1)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(*.f64 1 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)))
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(.f64 (.f64 2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))) 1/2)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(*.f64 4 (/.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4))
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(.f64 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4) 1/4)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(.f64 (.f64 1/2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))) 2)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4))
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4) 4)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(/.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 1)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 (+.f64 a a) -2/3))) 2)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4) 4)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4)) 8)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4))) 16)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4)))) 32)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4))))) 64)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 4)))))) 128)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 a a) -2/3)) 1)
(sqrt.f64 (+.f64 -2/3 (+.f64 a a)))
(sqrt.f64 (+.f64 a (+.f64 -2/3 a)))

eval231.0ms (1.1%)

Compiler: Compiled 13044 to 10354 computations (20.6% saved)

prune111.0ms (0.5%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	585	4	589
Fresh	0	2	2
Picked	1	0	1
Done	3	7	10
Total	589	13	602

Error

0.0b

Counts

602 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.5b	(-.f64 a 1/3)
✓	0.1b	(+.f64 a (-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3)) 1/3))
	10.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (*.f64 rand rand)))))
	0.6b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))))
✓	45.1b	(.f64 (sqrt.f64 a) (.f64 rand 1/3))
✓	44.7b	(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2))))
✓	44.7b	(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
✓	45.1b	(.f64 rand (.f64 1/3 (sqrt.f64 a)))
	1.6b	(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
	52.5b	(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
✓	45.1b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
	19.5b	a
	63.1b	-1/3

Compiler

Compiled 137 to 107 computations (21.9% saved)

regimes57.0ms (0.3%)

Counts

24 → 1

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 rand 1/3))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2))))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(+.f64 a (-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 1/3))
(+.f64 a (-.f64 (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3)) 1/3))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) rand)))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 1 rand) (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) (*.f64 rand rand)))))
(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (/.f64 2 rand) (.f64 1/2 (/.f64 rand (/.f64 (sqrt.f64 (.f64 9 (+.f64 -1/3 a))) rand))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 (.f64 2 a) 2/3)) (.f64 (sqrt.f64 1/2) rand)))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) rand)))))

Outputs
(+.f64 a (-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 1/3))

Calls

4 calls:

12.0ms	(-.f64 a (/.f64 1 3))
12.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
11.0ms	a
11.0ms	rand

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`rand`
0.1b	1	`(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))`
0.1b	1	`(-.f64 a (/.f64 1 3))`

Compiler

Compiled 321 to 247 computations (23.1% saved)

regimes17.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 rand 1/3))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2))))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))

Outputs
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))

Calls

2 calls:

7.0ms	a
7.0ms	rand

Results

Error	Segments	Branch
0.6b	1	`a`
0.6b	1	`rand`

Compiler

Compiled 101 to 71 computations (29.7% saved)

regimes28.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 rand 1/3))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))
(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(.f64 rand (.f64 1/3 (sqrt.f64 (/.f64 (+.f64 a (+.f64 a -2/3)) 2))))

Outputs
(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(-.f64 a 1/3)
(.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))

Calls

2 calls:

18.0ms	rand
6.0ms	a

Results

Error	Segments	Branch
1.6b	1	`a`
0.6b	3	`rand`

Compiler

Compiled 89 to 62 computations (30.3% saved)

bsearch26.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	3.0388088484502275e-130	3.954310635077062e-125
19.0ms	-1.511477808797997e+35	-3.753614787262166e+31

Results

23.0ms

176×

body

256

valid

Compiler

Compiled 236 to 188 computations (20.3% saved)

regimes41.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 rand 1/3))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3))))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 rand 1/3))

Outputs
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Calls

2 calls:

24.0ms	a
15.0ms	rand

Results

Error	Segments	Branch
15.8b	5	`a`
3.2b	3	`rand`

Compiler

Compiled 55 to 37 computations (32.7% saved)

bsearch35.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	2.748793992991973e+76	1.7226014639657721e+78
19.0ms	-5.1074244054403576e+88	-5.6832073487879324e+85

Results

31.0ms

240×

body

256

valid

Compiler

Compiled 282 to 233 computations (17.4% saved)

regimes34.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 rand 1/3))

Outputs
(.f64 1/3 (.f64 (sqrt.f64 a) rand))
(-.f64 a 1/3)
(.f64 1/3 (.f64 (sqrt.f64 a) rand))

Calls

2 calls:

20.0ms	a
12.0ms	rand

Results

Error	Segments	Branch
15.8b	5	`a`
3.5b	3	`rand`

Compiler

Compiled 31 to 19 computations (38.7% saved)

bsearch35.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	2.748793992991973e+76	1.7226014639657721e+78
19.0ms	-5.1074244054403576e+88	-5.6832073487879324e+85

Results

32.0ms

240×

body

256

valid

Compiler

Compiled 252 to 203 computations (19.4% saved)

regimes8.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
-1/3
a
(-.f64 a 1/3)

Outputs
(-.f64 a 1/3)

Calls

2 calls:

4.0ms	a
3.0ms	rand

Results

Error	Segments	Branch
18.5b	1	`a`
18.5b	1	`rand`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes6.0ms (0%)

Accuracy

Total -43.8b remaining (-224.3%)

Threshold costs -43.8b (-224.3%)

Counts

2 → 1

Calls

Call 1

Inputs
-1/3
a

Outputs
a

Calls

2 calls:

3.0ms	a
3.0ms	rand

Results

Error	Segments	Branch
19.5b	1	`a`
19.5b	1	`rand`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	292

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 a (-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 1/3))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(if (<=.f64 rand -38000000000000001318565697290240) (.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9))))) (if (<=.f64 rand 3048582568667961/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (-.f64 a 1/3) (.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))))
(if (<=.f64 rand -599999999999999953564446364080413519103978894502589415958294694938785377250495139151872) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 1249999999999999959195009375824439902843300450831247489158253077329125402738688) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -2800000000000000151393888194538665085672214162453441405197853758801614702503602585337856) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 739999999999999989830234287718319780800471918629577805934940679664271076884480) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a
-1/3

Outputs
(+.f64 a (-.f64 (.f64 rand (.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) 1/3))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(if (<=.f64 rand -38000000000000001318565697290240) (.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9))))) (if (<=.f64 rand 3048582568667961/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856) (-.f64 a 1/3) (.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))))
(if (<=.f64 rand -599999999999999953564446364080413519103978894502589415958294694938785377250495139151872) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 1249999999999999959195009375824439902843300450831247489158253077329125402738688) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -2800000000000000151393888194538665085672214162453441405197853758801614702503602585337856) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 739999999999999989830234287718319780800471918629577805934940679664271076884480) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a
-1/3

Compiler

Compiled 126 to 93 computations (26.2% saved)

soundness1.2s (6%)

Algorithm

2×	egg-herbie

Rules

10478×	`rational.json-simplify-41`
1258×	`rational.json-simplify-2`
1144×	`rational.json-simplify-1`
936×	`rational.json-simplify-39`
922×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	27	47
2	31	47
3	37	47
4	47	47
5	72	47
6	138	47
7	349	47
8	432	47
9	436	47
10	440	47
11	444	47
12	448	47
13	1300	47
14	1691	47
15	1695	47
16	1699	47
17	1703	47
18	1707	47
19	1711	47
20	1715	47
21	1719	47
22	1723	47
23	1727	47
24	1731	47
25	1735	47
26	1739	47
27	1743	47
28	1747	47
29	1751	47
30	1755	47
31	1759	47
32	1763	47
33	1767	47
34	1771	47
35	1775	47
36	1779	47
37	1783	47
38	1787	47
39	1791	47
40	1795	47
41	1799	47
42	1803	47
43	1807	47
44	1811	47
45	1815	47
46	1819	47
47	1823	47
48	1827	47
49	1831	47
50	1835	47
51	1839	47
52	1843	47
53	1847	47
54	1851	47
55	1855	47
56	1859	47
57	1863	47
58	1867	47
59	1871	47
60	1875	47
61	1879	47
62	1883	47
63	1887	47
64	1891	47
65	1895	47
66	1899	47
67	1903	47
68	1907	47
69	1911	47
70	1915	47
71	1919	47
72	1923	47
73	1927	47
74	1931	47
75	1935	47
76	1939	47
77	1943	47
78	1947	47
79	1951	47
80	1955	47
81	1959	47
82	1963	47
83	1967	47
84	1971	47
85	1975	47
86	1979	47
87	1983	47
88	1987	47
89	1991	47
90	1995	47
91	1999	47
92	2003	47
93	2007	47
94	2011	47
95	2015	47
96	2019	47
97	2023	47
98	2027	47
99	2031	47
100	2035	47
101	2039	47
102	2043	47
103	2047	47
104	2051	47
105	2055	47
106	2059	47
107	2063	47
108	2067	47
109	2071	47
110	2075	47
111	2079	47
112	2083	47
113	2087	47
114	2091	47
115	2095	47
116	2099	47
117	2103	47
118	2107	47
119	2111	47
120	2115	47
121	2119	47
122	2123	47
123	2127	47
124	2131	47
125	2135	47
126	2139	47
127	2143	47
128	2147	47
129	2151	47
130	2155	47
131	2159	47
132	2163	47
133	2167	47
134	2171	47
135	2175	47
136	2179	47
137	2183	47
138	2187	47
139	2191	47
140	2195	47
141	2199	47
142	2203	47
143	2207	47
144	2211	47
145	2215	47
146	2219	47
147	2223	47
148	2227	47
149	2231	47
150	2235	47
151	2239	47
152	2243	47
153	2247	47
154	2251	47
155	2255	47
156	2259	47
157	2263	47
158	2267	47
159	2271	47
160	2275	47
161	2279	47
162	2283	47
163	2287	47
164	7912	47
165	7916	47
166	7920	47
167	7924	47
168	7928	47
169	7932	47
170	7936	47
171	7940	47
172	7944	47
173	7948	47
174	7952	47
175	7956	47
176	7960	47
177	7964	47
178	7968	47
179	7972	47
180	7976	47
181	7980	47
182	7984	47
183	7988	47
184	7992	47
185	7996	47
186	8000	47
0	359	5590
1	960	5514
2	3565	5400
3	5699	5368

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 124 to 100 computations (19.4% saved)

end63.0ms (0.3%)

Compiler: Compiled 112 to 79 computations (29.5% saved)