Details

analyze109.0ms (0.5%)

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)

sample2.4s (12.3%)

Results

2.1s	8256×	body	256	valid
209.0ms	589×	body	256	invalid
167.0ms	625×	body	256	infinite

Bogosity

preprocess4.2s (20.8%)

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 (5.4%)

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)))

eval3.0ms (0%)

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

prune1.0ms (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

0.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.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)

localize68.0ms (0.3%)

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 1 (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
✓	0.3b	(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) rand)
✓	0.3b	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

Compiler

Compiled 67 to 54 computations (19.4% saved)

series52.0ms (0.3%)

Counts

4 → 42

Calls

18 calls:

Time	Variable		Point	Expression
42.0ms	a	@	-inf	(.f64 (/.f64 1 (sqrt.f64 (.f64 (-.f64 a 1/3) 9))) rand)
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	@	inf	(.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)))

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`bool.json-1`
1518×	`bool.json-2`
1464×	`rational.json-1`
1464×	`rational.json-2`
1464×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	116
1	156	104
2	404	104
3	800	104
4	1765	104
5	4740	104

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

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

simplify176.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1796×	`rational.json-simplify-35`
916×	`rational.json-simplify-41`
884×	`rational.json-simplify-2`
696×	`rational.json-simplify-39`
644×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	4708
1	831	4702
2	2834	4684
3	5128	4684
4	7772	4684

Stop Event

1×	node limit

Counts

150 → 171

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

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

eval140.0ms (0.7%)

Compiler: Compiled 4489 to 3797 computations (15.4% saved)

prune71.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	163	8	171
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	8	172

Error

0.0b

Counts

172 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶	18.8b	(-.f64 a 1/3)
	12.7b	(.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)))))
▶	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
	0.4b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
▶	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
▶	45.8b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
	19.9b	a

Compiler

Compiled 261 to 212 computations (18.8% saved)

localize26.0ms (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)))
✓	0.2b	(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
✓	0.3b	(.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 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
1.0ms	a	@	-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)

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`rational.json-simplify-35`
1364×	`bool.json-1`
1364×	`bool.json-2`
1314×	`rational.json-1`
1314×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	116
1	152	116
2	422	116
3	871	116
4	1831	116
5	4440	116

Stop Event

1×	node limit

Counts

4 → 50

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 not (not (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.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)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.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)))))))
((#(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 not (not (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))))))
((#(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 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1/2) 2)))) (#(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 not (not (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))))))
((#(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 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (.f64 (+.f64 a -1/3) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (.f64 (+.f64 a -1/3) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (.f64 (+.f64 a -1/3) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (.f64 (+.f64 a -1/3) 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (.f64 (+.f64 a -1/3) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.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 and (.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 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.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 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))))))))

simplify342.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

3094×	`rational.json-simplify-35`
2570×	`rational.json-simplify-2`
1150×	`rational.json-simplify-1`
1052×	`rational.json-simplify-43`
868×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3294
1	455	3282
2	1025	3246
3	2630	3246
4	4182	3246
5	4512	3246
6	4886	3246
7	5178	3246
8	5223	3246
9	6144	3246
10	6481	3246
11	6570	3246
12	6733	3246
13	7320	3246

Stop Event

1×	node limit

Counts

80 → 123

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)
(+.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)
(+.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 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 1/2) 2)
(/.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)
(+.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 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (.f64 (+.f64 a -1/3) 4)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (*.f64 (+.f64 a -1/3) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (.f64 (+.f64 a -1/3) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (.f64 (+.f64 a -1/3) 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 1 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))) (.f64 (+.f64 a -1/3) 4))))) 32)

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

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)

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`rational.json-simplify-35`
1394×	`bool.json-1`
1394×	`bool.json-2`
1350×	`rational.json-1`
1350×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	50	7
2	152	7
3	323	7
4	642	7
5	1340	7
6	3110	7
7	5800	7

Stop Event

1×	node limit

Counts

1 → 26

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 a 1/2) (-.f64 (*.f64 a 1/2) 1/3))))) (#(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 -1/3) 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 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 a -1/3) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 a -1/3) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 a -1/3) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 a -1/3) (+.f64 a -1/3))))))

simplify840.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

5436×	`rational.json-simplify-1`
4450×	`rational.json-simplify-41`
1658×	`rational.json-simplify-35`
1388×	`rational.json-simplify-2`
1328×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	203
1	108	203
2	336	203
3	946	203
4	1662	203
5	2019	203
6	2068	203
7	2106	203
8	2137	203
9	2168	203
10	2950	203
11	2984	203
12	3014	203
13	3044	203
14	3071	203
15	3098	203
16	3545	203
17	3574	203
18	3603	203
19	3630	203
20	6708	203
21	6749	203
22	6833	203
23	7105	203
24	7212	203
25	7240	203
26	7267	203
27	7294	203
28	7321	203
29	7348	203
30	7375	203
31	7402	203
32	7429	203
33	7456	203
34	7483	203
35	7510	203

Stop Event

1×	node limit

Counts

29 → 28

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 a 1/2) (-.f64 (.f64 a 1/2) 1/3))
(+.f64 (.f64 (+.f64 a -1/3) 1/2) (.f64 (+.f64 a -1/3) 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 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8))))) 128)

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 a 1/2) (-.f64 (.f64 a 1/2) 1/3))
(+.f64 (.f64 (+.f64 a -1/3) 1/2) (.f64 (+.f64 a -1/3) 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 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 a -1/3) 8))))) 128)
(+.f64 -1/3 a)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 a 1/3)
✓	0.0b	(sqrt.f64 (-.f64 a 1/3))
✓	0.2b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
✓	0.6b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series6.0ms (0%)

Counts

3 → 12

Calls

15 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1400×	`rational.json-simplify-35`
1306×	`bool.json-1`
1306×	`bool.json-2`
1258×	`rational.json-1`
1258×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	99	51
2	267	51
3	561	51
4	1138	51
5	2523	51
6	5147	51

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(sqrt.f64 (-.f64 a 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 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 rand rand)) 4/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 rand rand)) 4/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 rand rand)) 4/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 rand rand)) 4/3))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 rand rand)) 4/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (*.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)) 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 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))

((#(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)) 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 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)) 4) 4)))) (#(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 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8))) (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))))

simplify569.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

5426×	`rational.json-simplify-41`
3904×	`rational.json-simplify-35`
2846×	`rational.json-simplify-2`
1246×	`rational.json-simplify-51`
926×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	1413
1	319	1413
2	873	1377
3	1833	1353
4	4127	1353
5	4717	1353
6	5053	1353
7	5314	1353
8	5577	1353
9	5578	1353
10	6494	1353
11	6519	1353
12	6537	1353
13	6537	1353
14	6806	1353
15	7084	1353
16	7356	1353
17	7628	1353
18	7900	1353

Stop Event

1×	node limit

Counts

57 → 100

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

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
	0.0b	(sqrt.f64 (-.f64 a 1/3))
	0.2b	(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
	0.6b	(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))

Compiler

Compiled 48 to 34 computations (29.2% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`bool.json-1`
1528×	`bool.json-2`
1480×	`rational.json-1`
1480×	`rational.json-2`
1480×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	109	29
2	287	29
3	600	29
4	1244	29
5	2797	29
6	5838	29

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/6)) (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 a 1/2) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a (+.f64 a (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a (*.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 a (+.f64 a (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 a a) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a (+.f64 a (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 2/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a (*.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 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8)) (*.f64 2 (*.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))))

simplify745.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

4314×	`rational.json-simplify-41`
2388×	`rational.json-simplify-35`
1162×	`rational.json-simplify-2`
784×	`rational.json-simplify-51`
670×	`rational.json-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	94	1146
1	187	1146
2	378	1134
3	885	1134
4	1827	1128
5	2653	1128
6	2980	1128
7	3030	1128
8	3075	1128
9	3120	1128
10	3644	1128
11	3804	1128
12	3883	1128
13	3950	1128
14	4007	1128
15	4064	1128
16	4121	1128
17	4178	1128
18	4235	1128
19	4292	1128
20	7467	1128
21	7541	1128
22	7619	1128
23	7692	1128
24	7706	1128
25	7715	1128
26	7720	1128
27	7723	1128
28	7723	1128
29	7780	1128
30	7837	1128
31	7894	1128
32	7951	1128

Stop Event

1×	node limit

Counts

36 → 49

Calls

Call 1

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

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

localize24.0ms (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)))))
✓	0.2b	(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
✓	0.3b	(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))

Compiler

Compiled 57 to 44 computations (22.8% saved)

series3.0ms (0%)

Counts

4 → 50

Calls

18 calls:

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

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`rational.json-simplify-50`
826×	`rational.json-simplify-1`
734×	`rational.json-simplify-35`
674×	`bool.json-1`
674×	`bool.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	94
1	165	94
2	433	94
3	894	94
4	2037	94
5	6289	94

Stop Event

1×	node limit

Counts

4 → 112

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 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 (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 -2 (-.f64 0 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))) (#(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 -1/2 (neg.f64 (/.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 neg.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (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 rand (neg.f64 (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 rand (neg.f64 (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 rand (neg.f64 (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 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) 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 rand (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 rand (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (.f64 rand -2) (.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 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 rand (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2)) 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 (/.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 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (/.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 rand)) (/.f64 1 (.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 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 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) 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 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) rand))))))) (#(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 1/2 (/.f64 rand (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand -2) (/.f64 -1/2 (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 (.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 rand (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)) (/.f64 1/2 rand)) (/.f64 2 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) 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 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) rand))))))) (#(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 (.f64 rand 1/2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 rand) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) 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 rand 1/2) (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(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 (/.f64 2 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)) (/.f64 2 rand)))))))) (#(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 neg.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (neg.f64 rand)) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) rand) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 rand -2) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))))
((#(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 a -1/3) (+.f64 2 (/.f64 rand (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 1/2)))) 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 not (not (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (+.f64 a -1/3) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 1)) (.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) 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 not (not (.f64 (+.f64 a -1/3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (+.f64 a -1/3) 9) (.f64 (+.f64 a -1/3) 9))))))

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1410×	`rational.json-simplify-51`
1356×	`rational.json-simplify-2`
700×	`rational.json-simplify-53`
560×	`rational.json-simplify-50`
542×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	317	5428
1	747	5404
2	2983	5168
3	5287	4944
4	7319	4944

Stop Event

1×	node limit

Counts

162 → 195

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

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

eval275.0ms (1.4%)

Compiler: Compiled 14741 to 12360 computations (16.2% saved)

prune124.0ms (0.6%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	615	8	623
Fresh	1	2	3
Picked	0	1	1
Done	1	3	4
Total	617	14	631

Error

0.0b

Counts

631 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 rand 2/3)))) 2)
▶	0.1b	(-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) a) 1/3)
✓	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	18.8b	(-.f64 a 1/3)
▶	0.2b	(+.f64 a (+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))))
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
	1.4b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
▶	0.4b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
▶	45.5b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
	45.5b	(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
▶	46.9b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
	19.9b	a
	63.1b	-1/3

Compiler

Compiled 311 to 252 computations (19% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 33 computations (28.3% saved)

series5.0ms (0%)

Counts

4 → 50

Calls

18 calls:

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

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`bool.json-1`
1588×	`bool.json-2`
1540×	`rational.json-1`
1540×	`rational.json-2`
1540×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	70
1	119	70
2	304	70
3	624	70
4	1301	70
5	2946	70
6	6145	70

Stop Event

1×	node limit

Counts

4 → 69

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/6)) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 4/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) 8)) (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 rand 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 rand 1/3))))) (#(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 rand 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand 1/3) 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 1/3) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 rand 1/3) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 rand 1/3) 8)) (.f64 2 (.f64 (.f64 rand 1/3) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 rand 1/3) (.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 rand 1/3) (.f64 rand 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 -1/3 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2/3) (.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/2) (.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 -1/3 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 -1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2/3) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2/3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 8)) (.f64 2 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/6)) (.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 a 1/2) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 2/3)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (+.f64 a a) (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 8)) (.f64 2 (.f64 (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3))) (+.f64 a (.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))))))

simplify466.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3348×	`rational.json-simplify-35`
2732×	`rational.json-simplify-53`
1708×	`rational.json-simplify-2`
1152×	`rational.json-simplify-1`
674×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2637
1	389	2637
2	1260	2607
3	2541	2607
4	3535	2607
5	4232	2607
6	4589	2607
7	4836	2607
8	5060	2607
9	7125	2607
10	7171	2607
11	7209	2607
12	7210	2607
13	7222	2607
14	7430	2607
15	7650	2607
16	7858	2607

Stop Event

1×	node limit

Counts

119 → 122

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

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 a) rand)
✓	0.6b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))

Compiler

Compiled 17 to 7 computations (58.8% saved)

series4.0ms (0%)

Counts

2 → 0

Calls

12 calls:

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

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`bool.json-1`
1356×	`bool.json-2`
1312×	`rational.json-1`
1312×	`rational.json-2`
1312×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	90	28
2	248	28
3	521	28
4	1048	28
5	2310	28
6	4973	28

Stop Event

1×	node limit

Counts

2 → 24

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 (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 (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 2 (*.f64 (sqrt.f64 a) (*.f64 rand 4/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 a) (*.f64 rand 4/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 a) (*.f64 rand 4/3))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 a) (*.f64 rand 4/3))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 a) (*.f64 rand 4/3)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))))

((#(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 (sqrt.f64 a) (*.f64 rand 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 (sqrt.f64 a) (*.f64 rand 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 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 a) rand) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 a) rand) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 a) rand) (*.f64 (sqrt.f64 a) rand))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 a) rand) (*.f64 (sqrt.f64 a) rand))))))

simplify538.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3144×	`rational.json-simplify-2`
2774×	`rational.json-simplify-35`
1846×	`rational.json-simplify-53`
1602×	`rational.json-simplify-1`
1092×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	330
1	154	330
2	330	330
3	813	330
4	2320	330
5	4194	330
6	4399	330
7	4521	330
8	4630	330
9	4735	330
10	4838	330
11	6143	330
12	6591	330
13	6604	330
14	6613	330
15	6613	330
16	6716	330
17	6819	330
18	6922	330
19	7628	330

Stop Event

1×	node limit

Counts

24 → 26

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

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

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

9 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`rational.json-simplify-35`
1296×	`bool.json-1`
1296×	`bool.json-2`
1248×	`rational.json-1`
1248×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	99	30
2	267	30
3	561	30
4	1138	30
5	2530	30
6	5154	30

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(*.f64 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 8/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 8/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 8/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 8/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (*.f64 2 (*.f64 2 (*.f64 8/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))

((#(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 1/3 rand) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 1/3 rand) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/3 rand) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/3 rand) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/3 rand) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/3 rand) (*.f64 1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/3 rand) (*.f64 1/3 rand))))))

simplify376.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3542×	`rational.json-simplify-35`
3446×	`rational.json-simplify-41`
2884×	`rational.json-simplify-2`
1212×	`rational.json-simplify-53`
626×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	878
1	211	878
2	444	860
3	1224	848
4	2631	848
5	3563	848
6	4369	848
7	4595	848
8	4806	848
9	5003	848
10	5987	848
11	5996	848
12	5998	848
13	5998	848
14	6210	848
15	6429	848
16	6641	848
17	6853	848

Stop Event

1×	node limit

Counts

38 → 48

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 (.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 8/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 8)
(/.f64 (.f64 2 (.f64 8/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 8/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 8/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (.f64 2 (.f64 2 (.f64 8/3 (.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) 64)
(+.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 1/3 rand) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 1/3 rand) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/3 rand) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/3 rand) 8))) (.f64 2 (.f64 2 (.f64 (.f64 1/3 rand) 8)))) 64)

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)))
✓	0.2b	(/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand)
✓	0.3b	(sqrt.f64 (*.f64 9 (+.f64 -1/3 a)))
✓	8.5b	(/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))

Compiler

Compiled 70 to 53 computations (24.3% saved)

series5.0ms (0%)

Counts

4 → 52

Calls

21 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1788×	`rational.json-simplify-35`
1258×	`bool.json-1`
1258×	`bool.json-2`
1222×	`rational.json-1`
1222×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	116
1	133	116
2	395	116
3	1084	116
4	3445	116

Stop Event

1×	node limit

Counts

4 → 99

Calls

Call 1

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

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

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1068×	`rational.json-simplify-44`
950×	`rational.json-simplify-43`
924×	`rational.json-simplify-61`
898×	`rational.json-simplify-35`
830×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	242	5077
1	503	5053
2	1406	5017
3	5505	4993
4	7285	4993

Stop Event

1×	node limit

Counts

151 → 183

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

Outputs
(.f64 1/3 (.f64 rand (sqrt.f64 -1/3)))
(.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 rand (sqrt.f64 -1/3))) (.f64 1/6 (.f64 rand (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (.f64 (sqrt.f64 -1/3) (.f64 1/3 rand)) (.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) (pow.f64 (sqrt.f64 -1/3) 3))))))
(+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)) (+.f64 (.f64 (sqrt.f64 -1/3) (.f64 1/3 rand)) (.f64 rand (.f64 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3)) -1/24))))
(+.f64 (.f64 rand (.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))) (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 -1/24 (/.f64 (pow.f64 a 2) (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 (.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) (pow.f64 (sqrt.f64 -1/3) 3)))) (.f64 1/48 (.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))))))
(+.f64 (.f64 (sqrt.f64 -1/3) (.f64 1/3 rand)) (+.f64 (.f64 rand (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) 1/48)) (+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)) (.f64 rand (.f64 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3)) -1/24)))))
(+.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) (pow.f64 (sqrt.f64 -1/3) 3)))) (.f64 rand (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (.f64 rand (.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))) (+.f64 (.f64 rand (.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))) (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (*.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3)))))))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 1/3 (.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(.f64 rand (.f64 (sqrt.f64 (-.f64 a 1/3)) 1/3))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
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(.f64 (.f64 2 (/.f64 1 rand)) (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) 2))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) rand)
(.f64 (/.f64 1/2 rand) (.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) 2))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) rand)
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (/.f64 2 rand)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) rand)
(.f64 (.f64 (/.f64 1 rand) 1/2) (.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)) 2))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) rand)
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)) (+.f64 rand rand)) 2)
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) rand)
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)) 2) (*.f64 2 (/.f64 1 rand)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) rand)
(.f64 1/4 (.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) rand) 4))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) rand)
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)) rand) 2) 2)
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) rand)
(.f64 (/.f64 1 (.f64 rand 4)) (.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)) 4))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) rand)
(.f64 (/.f64 1 (neg.f64 rand)) (neg.f64 (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) rand)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (neg.f64 rand)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) rand)
(-.f64 (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))) 0)
(+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (+.f64 -1/3 a))))
(.f64 (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))) 1)
(+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (+.f64 -1/3 a))))
(.f64 1 (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))))
(+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (+.f64 -1/3 a))))
(.f64 2 (/.f64 (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))) 2))
(+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (+.f64 -1/3 a))))
(.f64 (.f64 (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))) 2) 1/2)
(+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (+.f64 -1/3 a))))
(.f64 1/2 (.f64 (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))) 2))
(+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (+.f64 -1/3 a))))
(.f64 (/.f64 (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))) 2) 2)
(+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (+.f64 -1/3 a))))
(/.f64 (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))) 1)
(+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (+.f64 -1/3 a))))
(/.f64 (.f64 (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))) 2) 2)
(+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (+.f64 -1/3 a))))
(/.f64 (.f64 (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))) 4) 4)
(+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (+.f64 -1/3 a))))
(/.f64 (.f64 2 (.f64 (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))) 4)) 8)
(+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (+.f64 -1/3 a))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))) 4)) (.f64 2 (.f64 (+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9))))) 4))) 16)
(+.f64 -1/3 (.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (.f64 (+.f64 -1/3 a) 9)))))
(+.f64 -1/3 (/.f64 rand (/.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)) (+.f64 -1/3 a))))

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
✓	0.4b	(.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
✓	0.4b	(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
✓	0.5b	(/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))

Compiler

Compiled 155 to 129 computations (16.8% saved)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite116.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`bool.json-1`
1442×	`bool.json-2`
1400×	`rational.json-1`
1400×	`rational.json-2`
1400×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	151
1	138	145
2	384	107
3	951	107
4	4555	107

Stop Event

1×	node limit

Counts

3 → 272

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (*.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (/.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (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)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 1 (*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.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) (/.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 2) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (*.f64 (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 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 (fabs.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 -1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 1/2) (/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2) (*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (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)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a 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simplify152.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1570×	`rational.json-simplify-49`
966×	`rational.json-simplify-51`
938×	`rational.json-simplify-59`
888×	`rational.json-simplify-50`
812×	`rational.json-simplify-39`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	578	9928
1	2119	9856
2	5027	9808

Stop Event

1×	node limit

Counts

300 → 338

Calls

Call 1

Inputs
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (.f64 -1 a)) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 a 2)) (+.f64 (.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(/.f64 1/9 a)
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 a 2))) (.f64 1/9 (/.f64 1 a)))))
(/.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -9) 2) a))
(neg.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -9) 2) a)) (.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -9) 2) (pow.f64 a 2))))))
(neg.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -9) 2) (pow.f64 a 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -9) 2) a)) (.f64 1/9 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -9) 2) (pow.f64 a 3)))))))
(neg.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -9) 2) (pow.f64 a 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -9) 2) a)) (+.f64 (.f64 1/9 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -9) 2) (pow.f64 a 3)))) (.f64 1/27 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -9) 2) (pow.f64 a 4))))))))
-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 -1 (.f64 (pow.f64 (sqrt.f64 -9) 2) a))
(+.f64 (.f64 1/3 (pow.f64 (sqrt.f64 -9) 2)) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -9) 2) a)))
(+.f64 (.f64 1/3 (pow.f64 (sqrt.f64 -9) 2)) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -9) 2) a)))
(+.f64 (.f64 1/3 (pow.f64 (sqrt.f64 -9) 2)) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -9) 2) a)))
(*.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 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 0)
(+.f64 0 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(-.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 0)
(.f64 1 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))
(.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))
(.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 1)
(.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(.f64 2 (/.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 2))
(.f64 2 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2) (/.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2)))
(.f64 (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 2) 1/2)
(.f64 (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 2) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2)))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2)))
(.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))
(.f64 -1 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 -1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
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(/.f64 (/.f64 (.f64 2 (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 4))
(/.f64 (/.f64 (.f64 2 (/.f64 -1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 2 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(/.f64 (/.f64 (/.f64 1 (fabs.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (fabs.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 (/.f64 (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 2) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 2 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4))
(/.f64 (/.f64 -1 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(/.f64 (/.f64 -2 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 2 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(/.f64 (/.f64 (.f64 2 (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 4)
(/.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (fabs.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (fabs.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 (/.f64 (neg.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (/.f64 -1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2)) (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2) (fabs.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (fabs.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2)))
(/.f64 (/.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(/.f64 (/.f64 (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 2) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 2))
(/.f64 (/.f64 (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 2) (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2))
(/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2))) 1/2)
(/.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2)) (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 1/2))
(/.f64 (neg.f64 (.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) 2)) (-.f64 0 (/.f64 2 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2)) (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 2))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (-.f64 0 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4)) (-.f64 0 (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (/.f64 2 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (-.f64 0 (.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)) 2)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (neg.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (fabs.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))) (-.f64 0 (fabs.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 1 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))) (/.f64 1 (sqrt.f64 (.f64 (+.f64 a -1/3) 9))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) 4) (/.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))) (.f64 (.f64 (sqrt.f64 (.f64 (+.f64 a -1/3) 9)) (sqrt.f64 (.f64 (+.f64 a -1/3) 9))) 4))
(neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))

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

eval522.0ms (2.6%)

Compiler: Compiled 27790 to 23271 computations (16.3% saved)

prune214.0ms (1.1%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	920	3	923
Fresh	1	4	5
Picked	1	0	1
Done	0	8	8
Total	922	15	937

Error

0.0b

Counts

937 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 rand 2/3)))) 2)
✓	0.1b	(-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) a) 1/3)
✓	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	18.8b	(-.f64 a 1/3)
✓	0.2b	(+.f64 a (+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (*.f64 9 (+.f64 -1/3 a))) rand))))
▶	0.2b	(+.f64 a (+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 3 (/.f64 1 rand))))))
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
▶	1.4b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))))
✓	45.5b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
▶	46.6b	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
▶	45.5b	(.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
✓	46.9b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
	19.9b	a
	63.1b	-1/3

Compiler

Compiled 253 to 203 computations (19.8% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 3 (/.f64 1 rand)))))
✓	0.3b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 3 (/.f64 1 rand)))
✓	0.3b	(*.f64 3 (/.f64 1 rand))
✓	8.5b	(/.f64 (+.f64 -1/3 a) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 3 (/.f64 1 rand))))

Compiler

Compiled 84 to 65 computations (22.6% saved)

series5.0ms (0%)

Counts

4 → 60

Calls

21 calls:

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

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1932×	`bool.json-1`
1932×	`bool.json-2`
1888×	`rational.json-1`
1608×	`bool.json-3`
672×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	130
1	179	112
2	515	112
3	1411	112
4	5257	112

Stop Event

1×	node limit

Counts

4 → 66

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1/3 a) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1/3 a) (.f64 (/.f64 rand 3) (/.f64 1 (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 rand (.f64 1/3 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 -1/3 a) (.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 rand rand) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 rand rand) (/.f64 2 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a (+.f64 a -2/3)) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a (+.f64 a -2/3)) (.f64 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a (+.f64 a -2/3)) (.f64 1/2 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 rand 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a))) (.f64 (/.f64 rand 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 -1/3 a) 2/3) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 -1/3 a) 4) (/.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 -1/3 a) (/.f64 2 (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 1 (.f64 (/.f64 1 rand) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand 4) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (.f64 (+.f64 -1/3 a) rand)) (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 -1/3 a) 1/3) (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (.f64 1/3 (.f64 (+.f64 -1/3 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/3 a) (/.f64 1 (neg.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1/3 a) (/.f64 1 (.f64 3 (.f64 (/.f64 1 rand) (neg.f64 (sqrt.f64 (+.f64 -1/3 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1/3 a) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 1 (neg.f64 (.f64 3 (/.f64 1 rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (+.f64 -1/3 a) (neg.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (+.f64 -1/3 a) (.f64 3 (.f64 (/.f64 1 rand) (neg.f64 (sqrt.f64 (+.f64 -1/3 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 (.f64 3 (/.f64 1 rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 rand) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 (-.f64 1/3 a) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 -1/3 a) rand) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (.f64 (+.f64 -1/3 a) 2/3) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (+.f64 rand rand) (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 (+.f64 -1/3 a))) (.f64 2 (.f64 1/3 (.f64 (+.f64 -1/3 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6) (+.f64 a (+.f64 a -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))) (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))) (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (/.f64 1 rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 3 (/.f64 1 rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (/.f64 1 rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 rand) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 3 (/.f64 1 rand)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 3 (/.f64 1 rand)) 4) (.f64 (.f64 3 (/.f64 1 rand)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 3 (/.f64 1 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 3 (/.f64 1 rand)) (.f64 3 (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 3 (/.f64 1 rand)) (.f64 3 (/.f64 1 rand)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 12) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) 3) rand)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 12)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 4) (.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))))))))

simplify159.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1356×	`rational.json-simplify-2`
1336×	`rational.json-simplify-53`
890×	`rational.json-simplify-35`
850×	`rational.json-simplify-50`
664×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	217	4106
1	537	4066
2	1216	3994
3	3696	3970
4	5422	3970
5	6262	3970
6	7725	3970

Stop Event

1×	node limit

Counts

126 → 156

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 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(*.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 (.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 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))) 0)
(+.f64 0 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(-.f64 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))) 0)
(*.f64 (+.f64 -1/3 a) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(.f64 (+.f64 -1/3 a) (.f64 (/.f64 rand 3) (/.f64 1 (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 1/3 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 1 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(.f64 rand (.f64 1/3 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))) 1)
(.f64 2 (/.f64 (+.f64 -1/3 a) (.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 6)))
(*.f64 2 (/.f64 rand (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)) 1/6)))
(.f64 2 (/.f64 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))) 2))
(*.f64 (+.f64 rand rand) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)) 1/6)))
(*.f64 (+.f64 rand rand) (/.f64 2 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)) 1/12)))
(*.f64 (+.f64 a (+.f64 a -2/3)) (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6))
(.f64 (+.f64 a (+.f64 a -2/3)) (.f64 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6) 1))
(.f64 (+.f64 a (+.f64 a -2/3)) (.f64 1/2 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 rand 3))
(.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a))) (.f64 (/.f64 rand 3) 1))
(.f64 (/.f64 (.f64 (+.f64 -1/3 a) 2/3) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) 1/2)
(.f64 (.f64 (+.f64 -1/3 a) 4) (/.f64 1 (*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 12)))
(.f64 (.f64 (+.f64 -1/3 a) (/.f64 2 (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 1 (*.f64 (/.f64 1 rand) 6)))
(.f64 (.f64 rand 4) (/.f64 1 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)) 1/12)))
(.f64 (.f64 1/3 (*.f64 (+.f64 -1/3 a) rand)) (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (.f64 (+.f64 -1/3 a) 1/3) (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (.f64 1/3 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))) rand)
(.f64 (.f64 rand (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))) 1/3)
(.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (.f64 1/3 (*.f64 (+.f64 -1/3 a) rand)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) (+.f64 -1/3 a))
(.f64 (-.f64 1/3 a) (/.f64 1 (neg.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))))
(.f64 (-.f64 1/3 a) (/.f64 1 (.f64 3 (*.f64 (/.f64 1 rand) (neg.f64 (sqrt.f64 (+.f64 -1/3 a)))))))
(.f64 (/.f64 (-.f64 1/3 a) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 1 (neg.f64 (.f64 3 (/.f64 1 rand)))))
(.f64 -1 (/.f64 (+.f64 -1/3 a) (neg.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))))
(.f64 -1 (/.f64 (+.f64 -1/3 a) (.f64 3 (*.f64 (/.f64 1 rand) (neg.f64 (sqrt.f64 (+.f64 -1/3 a)))))))
(.f64 -1 (/.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 (.f64 3 (/.f64 1 rand)))))
(.f64 (neg.f64 rand) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 (-.f64 1/3 a) 1/3))))
(.f64 (.f64 (+.f64 -1/3 a) rand) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) 3))
(*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/2 (/.f64 (.f64 (+.f64 -1/3 a) 2/3) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(.f64 1/2 (/.f64 (+.f64 rand rand) (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(.f64 (/.f64 1/2 (sqrt.f64 (+.f64 -1/3 a))) (.f64 2 (.f64 1/3 (.f64 (+.f64 -1/3 a) rand))))
(*.f64 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6) (+.f64 a (+.f64 a -2/3)))
(+.f64 (*.f64 3 (/.f64 1 rand)) 0)
(+.f64 0 (*.f64 3 (/.f64 1 rand)))
(-.f64 (*.f64 3 (/.f64 1 rand)) 0)
(/.f64 (*.f64 3 (/.f64 1 rand)) 1)
(/.f64 (*.f64 (/.f64 1 rand) 6) 2)
(/.f64 (.f64 (.f64 3 (/.f64 1 rand)) 4) 4)
(/.f64 (+.f64 (.f64 (.f64 3 (/.f64 1 rand)) 4) (.f64 (.f64 3 (/.f64 1 rand)) 4)) 8)
(+.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) 0)
(+.f64 0 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(-.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) 0)
(/.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) 1)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 6) 2)
(/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 12) 4)
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3) rand)
(/.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 12)) 8)
(-.f64 (+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 0)
(.f64 1 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))))
(.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 1)
(.f64 2 (/.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 2))
(.f64 (.f64 (+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 2) 1/2)
(/.f64 (+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 1)
(/.f64 (.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 2) 2)
(/.f64 (.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 4) 4)
(/.f64 (+.f64 (.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 4) (.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 4)) 8)

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 (.f64 rand 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 (.f64 rand a) (sqrt.f64 -1/3))) (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))))))
(+.f64 (.f64 rand (.f64 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3)) -1/24)) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) (.f64 (pow.f64 a 2) (*.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 3)) -1/24)))
(.f64 rand (+.f64 (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.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 (.f64 rand a) (sqrt.f64 -1/3))) (+.f64 (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3)))) (.f64 1/48 (.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))))))
(+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (+.f64 (.f64 rand (.f64 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3)) -1/24)) (+.f64 (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)) (.f64 1/48 (/.f64 (.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (.f64 rand (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 3)) -1/24)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 1/48 rand))))
(+.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) (pow.f64 (sqrt.f64 -1/3) 5))) (.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))))))
(.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 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 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 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 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 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 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 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 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 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 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 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 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(/.f64 3 rand)
(*.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 3/2 (/.f64 a (.f64 rand (sqrt.f64 -1/3)))) (+.f64 (.f64 3 (/.f64 (sqrt.f64 -1/3) rand)) (.f64 -3/8 (/.f64 (/.f64 (pow.f64 a 2) 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 (.f64 3 (/.f64 (sqrt.f64 -1/3) rand)) (+.f64 (+.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 3/16 (/.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 (.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 3/16 (/.f64 (/.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))
(+.f64 (.f64 3 (/.f64 (sqrt.f64 -1/3) rand)) (+.f64 (.f64 -3/8 (/.f64 (pow.f64 a 2) (.f64 rand (pow.f64 (sqrt.f64 -1/3) 3)))) (+.f64 (.f64 3/2 (/.f64 a (.f64 rand (sqrt.f64 -1/3)))) (.f64 3/16 (/.f64 (/.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (.f64 3/2 (/.f64 a (.f64 rand (sqrt.f64 -1/3)))) (+.f64 (.f64 -3/8 (/.f64 (/.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 3 (/.f64 (sqrt.f64 -1/3) rand)) (.f64 3/16 (/.f64 (pow.f64 a 3) (.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)))))))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 6 (/.f64 1/2 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 6 (/.f64 1/2 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 6 (/.f64 1/2 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 6 (/.f64 1/2 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 6 (/.f64 1/2 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 6 (/.f64 1/2 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 6 (/.f64 1/2 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 6 (/.f64 1/2 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 6 (/.f64 1/2 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 6 (/.f64 1/2 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 6 (/.f64 1/2 rand)))
(.f64 3 (.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 6 (/.f64 1/2 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 (.f64 rand 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 (.f64 rand a) (sqrt.f64 -1/3))) (.f64 -1/24 (.f64 rand (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))))) (-.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) 1/3))
(-.f64 (+.f64 (.f64 rand (.f64 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3)) -1/24)) (+.f64 (.f64 1/3 (.f64 rand (sqrt.f64 -1/3))) (.f64 rand (.f64 (/.f64 a (sqrt.f64 -1/3)) 1/6)))) 1/3)
(+.f64 (.f64 (pow.f64 a 2) (.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 3)) -1/24)) (-.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) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (.f64 1/3 (sqrt.f64 -1/3)) (.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))) 1/3)
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(.f64 2 (.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(.f64 2 (.f64 1/6 (*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
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(.f64 (+.f64 a (+.f64 a -2/3)) (.f64 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6) 1))
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(.f64 2 (.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(.f64 2 (.f64 1/6 (*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(.f64 (+.f64 a (+.f64 a -2/3)) (.f64 1/2 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))))
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(.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (.f64 1/3 (+.f64 -1/3 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(.f64 rand (.f64 (+.f64 -1/3 a) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))
(.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (.f64 1/3 (+.f64 -1/3 a)))
(.f64 (-.f64 1/3 a) (/.f64 1 (neg.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))))
(.f64 (-.f64 1/3 a) (/.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) -3)))
(*.f64 (-.f64 1/3 a) (/.f64 (/.f64 rand -3) (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 (-.f64 1/3 a) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (-.f64 1/3 a) (/.f64 1 (.f64 3 (*.f64 (/.f64 1 rand) (neg.f64 (sqrt.f64 (+.f64 -1/3 a)))))))
(.f64 (-.f64 1/3 a) (/.f64 1 (neg.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))))
(.f64 (-.f64 1/3 a) (/.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) -3)))
(*.f64 (-.f64 1/3 a) (/.f64 (/.f64 rand -3) (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 (-.f64 1/3 a) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (/.f64 (-.f64 1/3 a) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 1 (neg.f64 (.f64 3 (/.f64 1 rand)))))
(.f64 (/.f64 (-.f64 1/3 a) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 -1 (.f64 6 (/.f64 1/2 rand))))
(*.f64 (/.f64 (-.f64 1/3 a) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 rand -3))
(/.f64 (/.f64 rand 3) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 a 1/3)))
(.f64 -1 (/.f64 (+.f64 -1/3 a) (neg.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))))
(/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))
(/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (+.f64 -1/3 a) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a))))
(.f64 -1 (/.f64 (+.f64 -1/3 a) (.f64 3 (*.f64 (/.f64 1 rand) (neg.f64 (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))
(/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (+.f64 -1/3 a) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a))))
(.f64 -1 (/.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 (.f64 3 (/.f64 1 rand)))))
(/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))
(/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (+.f64 -1/3 a) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a))))
(.f64 (neg.f64 rand) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 (-.f64 1/3 a) 1/3))))
(.f64 (-.f64 1/3 a) (/.f64 1 (neg.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))))
(.f64 (-.f64 1/3 a) (/.f64 1 (.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) -3)))
(*.f64 (-.f64 1/3 a) (/.f64 (/.f64 rand -3) (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 (-.f64 1/3 a) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (.f64 (+.f64 -1/3 a) rand) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) 3))
(*.f64 (+.f64 -1/3 a) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(.f64 rand (.f64 (+.f64 -1/3 a) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))
(.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (.f64 1/3 (+.f64 -1/3 a)))
(*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))
(/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 (+.f64 -1/3 a) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a))))
(.f64 1/2 (/.f64 (.f64 (+.f64 -1/3 a) 2/3) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(*.f64 (+.f64 -1/3 a) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(.f64 rand (.f64 (+.f64 -1/3 a) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))
(.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (.f64 1/3 (+.f64 -1/3 a)))
(.f64 1/2 (/.f64 (+.f64 rand rand) (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(*.f64 1/2 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (+.f64 rand rand) 3))))
(*.f64 1/2 (/.f64 (/.f64 (+.f64 rand rand) 3) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))
(*.f64 1/2 (/.f64 (+.f64 -2/3 (+.f64 a a)) (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(.f64 (/.f64 1/2 (sqrt.f64 (+.f64 -1/3 a))) (.f64 2 (.f64 1/3 (.f64 (+.f64 -1/3 a) rand))))
(.f64 2 (.f64 (.f64 1/3 (.f64 rand (+.f64 -1/3 a))) (/.f64 1/2 (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (/.f64 1/2 (sqrt.f64 (+.f64 -1/3 a))) (.f64 (*.f64 rand (+.f64 -1/3 a)) 2/3))
(.f64 (.f64 rand (+.f64 -1/3 a)) (*.f64 2/3 (/.f64 1/2 (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (.f64 (+.f64 -1/3 a) 2/3) (*.f64 rand (/.f64 1/2 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6) (+.f64 a (+.f64 a -2/3)))
(.f64 2 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 (+.f64 -1/3 a) 1/6))))
(.f64 2 (/.f64 (.f64 1/6 (+.f64 -1/3 a)) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(.f64 2 (.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(.f64 2 (.f64 1/6 (*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(+.f64 (*.f64 3 (/.f64 1 rand)) 0)
(*.f64 3 (/.f64 1 rand))
(*.f64 6 (/.f64 1/2 rand))
(+.f64 0 (*.f64 3 (/.f64 1 rand)))
(*.f64 3 (/.f64 1 rand))
(*.f64 6 (/.f64 1/2 rand))
(-.f64 (*.f64 3 (/.f64 1 rand)) 0)
(*.f64 3 (/.f64 1 rand))
(*.f64 6 (/.f64 1/2 rand))
(/.f64 (*.f64 3 (/.f64 1 rand)) 1)
(*.f64 3 (/.f64 1 rand))
(*.f64 6 (/.f64 1/2 rand))
(/.f64 (*.f64 (/.f64 1 rand) 6) 2)
(*.f64 3 (/.f64 1 rand))
(*.f64 6 (/.f64 1/2 rand))
(/.f64 (.f64 (.f64 3 (/.f64 1 rand)) 4) 4)
(*.f64 3 (/.f64 1 rand))
(*.f64 6 (/.f64 1/2 rand))
(/.f64 (+.f64 (.f64 (.f64 3 (/.f64 1 rand)) 4) (.f64 (.f64 3 (/.f64 1 rand)) 4)) 8)
(*.f64 3 (/.f64 1 rand))
(*.f64 6 (/.f64 1/2 rand))
(+.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) 0)
(*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(+.f64 0 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(-.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) 0)
(*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(/.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)) 1)
(*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 6) 2)
(*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 12) 4)
(*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3) rand)
(*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(/.f64 (.f64 2 (.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand) 12)) 8)
(*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(-.f64 (+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 0)
(+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3))))
(+.f64 -1/3 (*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 -1/3 (*.f64 (+.f64 -1/3 a) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 1 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))))
(+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3))))
(+.f64 -1/3 (*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 -1/3 (*.f64 (+.f64 -1/3 a) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 1)
(+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3))))
(+.f64 -1/3 (*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 -1/3 (*.f64 (+.f64 -1/3 a) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 2 (/.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 2))
(+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3))))
(+.f64 -1/3 (*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 -1/3 (*.f64 (+.f64 -1/3 a) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(.f64 (.f64 (+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 2) 1/2)
(+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3))))
(+.f64 -1/3 (*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 -1/3 (*.f64 (+.f64 -1/3 a) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 1)
(+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3))))
(+.f64 -1/3 (*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 -1/3 (*.f64 (+.f64 -1/3 a) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 2) 2)
(+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3))))
(+.f64 -1/3 (*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 -1/3 (*.f64 (+.f64 -1/3 a) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 4) 4)
(+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3))))
(+.f64 -1/3 (*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 -1/3 (*.f64 (+.f64 -1/3 a) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (+.f64 (.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 4) (.f64 (+.f64 -1/3 (/.f64 rand (.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) 4)) 8)
(+.f64 -1/3 (/.f64 rand (*.f64 3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)))))
(+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3))))
(+.f64 -1/3 (*.f64 (/.f64 rand 3) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))))
(+.f64 -1/3 (*.f64 (+.f64 -1/3 a) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

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 1/3 rand))
0.0ms	a	@	-inf	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
0.0ms	a	@	inf	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
0.0ms	rand	@	inf	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
0.0ms	rand	@	-inf	(.f64 (sqrt.f64 a) (.f64 1/3 rand))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1348×	`bool.json-1`
1348×	`bool.json-2`
1304×	`rational.json-1`
1304×	`rational.json-2`
1304×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	90	17
2	248	17
3	522	17
4	1049	17
5	2318	17
6	4969	17

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 a) (*.f64 1/3 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 (sqrt.f64 a) (*.f64 1/3 rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 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 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)))))))

simplify418.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

4140×	`rational.json-simplify-35`
2776×	`rational.json-simplify-2`
996×	`rational.json-simplify-53`
892×	`rational.json-simplify-49`
874×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	391
1	94	391
2	215	391
3	550	391
4	2423	391
5	3692	391
6	4607	391
7	5089	391
8	5122	391
9	5132	391
10	6305	391
11	6409	391
12	6414	391
13	6667	391
14	6921	391
15	7175	391
16	7429	391
17	7793	391

Stop Event

1×	node limit

Counts

23 → 14

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

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

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

series2.0ms (0%)

Counts

3 → 32

Calls

12 calls:

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

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`rational.json-simplify-35`
1366×	`bool.json-1`
1366×	`bool.json-2`
1318×	`rational.json-1`
1318×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	109	47
2	284	47
3	581	47
4	1190	47
5	2662	47
6	5454	47

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/6) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/6)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 4/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 2) (*.f64 rand 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 2) (*.f64 rand 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 2) (*.f64 rand 4/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 2) (*.f64 rand 4/3)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 2) (*.f64 rand 4/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/3 a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 -1/3 a) 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 -1/3 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1/3 a) 4) 1/4)))) (#(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 -1/3 a) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 -1/3 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1/3 a) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/3 a) 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 -1/3 a) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/3 a) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -1/3 a) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1/3 a) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1/3 a) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 -1/3 a) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 -1/3 a) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 -1/3 a) (+.f64 -1/3 a))))))

simplify523.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4368×	`rational.json-simplify-2`
2828×	`rational.json-simplify-35`
2554×	`rational.json-simplify-53`
958×	`rational.json-simplify-1`
692×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	1392
1	303	1392
2	675	1374
3	1828	1362
4	3544	1362
5	4494	1362
6	5325	1362
7	5470	1362
8	5609	1362
9	5746	1362
10	5748	1362
11	5751	1362
12	6683	1362
13	6683	1362
14	6683	1362
15	6818	1362
16	6953	1362
17	7088	1362
18	7223	1362

Stop Event

1×	node limit

Counts

72 → 80

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9))))
✓	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)

series31.0ms (0.2%)

Counts

4 → 40

Calls

21 calls:

Time	Variable		Point	Expression
24.0ms	a	@	-inf	(sqrt.f64 (*.f64 a 9))
1.0ms	rand	@	0	(/.f64 rand (sqrt.f64 (*.f64 a 9)))
1.0ms	a	@	0	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
0.0ms	rand	@	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)))))

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`rational.json-simplify-50`
764×	`rational.json-simplify-1`
716×	`rational.json-simplify-35`
650×	`bool.json-1`
650×	`bool.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	86
1	146	86
2	397	86
3	828	86
4	1938	86
5	6112	86

Stop Event

1×	node limit

Counts

4 → 141

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)))))
(+.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 4 (/.f64 (sqrt.f64 (.f64 a 9)) 4))))) (#(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 (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 1/4 (.f64 (sqrt.f64 (.f64 a 9)) 4))))) (#(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 (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 -2 (-.f64 0 (.f64 2 (/.f64 1 (sqrt.f64 (.f64 a 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 2 (sqrt.f64 (.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (/.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 neg.f64 (neg.f64 (sqrt.f64 (.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (.f64 a 9)) (sqrt.f64 (.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (.f64 a 9)) (sqrt.f64 (*.f64 a 9)))))))
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1/2 (sqrt.f64 (.f64 a 9))) (.f64 (+.f64 rand rand) (+.f64 1 (/.f64 (sqrt.f64 (.f64 a 9)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (sqrt.f64 (.f64 a 9))) (.f64 (+.f64 1 (/.f64 (sqrt.f64 (.f64 a 9)) rand)) (+.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (/.f64 (sqrt.f64 (.f64 a 9)) rand)) (sqrt.f64 (.f64 a 9))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (/.f64 (sqrt.f64 (.f64 a 9)) rand)) (/.f64 1/2 (sqrt.f64 (.f64 a 9)))) (+.f64 rand rand))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 rand (+.f64 1 (/.f64 (sqrt.f64 (.f64 a 9)) rand))) (/.f64 1 (sqrt.f64 (.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (.f64 rand (/.f64 1/2 (sqrt.f64 (.f64 a 9))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) (.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 (sqrt.f64 (.f64 a 9)) rand))) 1) (/.f64 rand (sqrt.f64 (.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (.f64 rand (/.f64 1/2 (sqrt.f64 (.f64 a 9)))) (.f64 2 (.f64 (/.f64 (sqrt.f64 (.f64 a 9)) rand) (/.f64 (sqrt.f64 (.f64 a 9)) rand)))) 1) (/.f64 rand (sqrt.f64 (.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (/.f64 rand (.f64 (sqrt.f64 (.f64 a 9)) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 (sqrt.f64 (.f64 a 9)) rand)) (/.f64 (sqrt.f64 (.f64 a 9)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 4 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (+.f64 4 (.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (/.f64 (sqrt.f64 (.f64 a 9)) rand))) (/.f64 (sqrt.f64 (.f64 a 9)) (neg.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1) (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1) (+.f64 (/.f64 rand (sqrt.f64 (.f64 a 9))) 1))))))

simplify142.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1402×	`rational.json-simplify-2`
1098×	`rational.json-simplify-55`
1006×	`rational.json-simplify-1`
630×	`rational.json-simplify-39`
588×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	4331
1	661	4299
2	2678	4139
3	4714	4139
4	7320	4139

Stop Event

1×	node limit

Counts

181 → 177

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

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (/.f64 1 (+.f64 a -1/3)))
✓	0.2b	(/.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 rand 2/3)))) 2)
✓	0.3b	(*.f64 rand 2/3)
✓	0.3b	(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3))

Compiler

Compiled 81 to 65 computations (19.8% saved)

series13.0ms (0.1%)

Counts

4 → 50

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(/.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 rand 2/3)))) 2)
3.0ms	a	@	inf	(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3))
1.0ms	a	@	0	(/.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 rand 2/3)))) 2)
1.0ms	a	@	-inf	(.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3))
1.0ms	a	@	inf	(/.f64 (.f64 (+.f64 a -1/3) (+.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 rand 2/3)))) 2)

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational.json-simplify-35`
1316×	`bool.json-1`
1316×	`bool.json-2`
1262×	`rational.json-1`
1262×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	106
1	180	106
2	488	106
3	1035	106
4	2231	106
5	4688	106

Stop Event

1×	node limit

Counts

4 → 65

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 8/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 8/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 8/3)))) 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 8/3)))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 8/3))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 rand 2/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 rand 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 rand 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 rand 2/3) 2) (/.f64 (.f64 rand 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 rand 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand 4/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 rand 8/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 rand 8/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 rand 8/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 rand 8/3))) (.f64 2 (.f64 2 (.f64 rand 8/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 rand 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 rand 2/3) (.f64 rand 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 rand 2/3) (.f64 rand 2/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 a -1/3) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (+.f64 a -1/3) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2)) 4) (/.f64 (.f64 (+.f64 a -1/3) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 a -1/3) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a -1/3) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (.f64 (+.f64 a -1/3) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2) (.f64 (+.f64 a -1/3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/4) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 (+.f64 a -1/3) 1/4) (+.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))) (.f64 rand 2/3)) 2) (.f64 (+.f64 a -1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a -1/3) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a -1/3) (.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/4) (.f64 (+.f64 a -1/3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a (+.f64 a -2/3)) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a (+.f64 a -2/3)) (.f64 1/2 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a -1/3) 1/2) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2)) (.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a -1/3) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 a -1/3) (+.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 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 4) (.f64 1/4 (.f64 (+.f64 a -1/3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 a -1/3) (.f64 2 (+.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 a -1/3) 1/4) (.f64 2 (+.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 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/4) (+.f64 a (+.f64 a -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2)) (+.f64 a (+.f64 a -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (+.f64 a -1/3) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 a -1/3) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2)) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (+.f64 a -1/3) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (+.f64 a -1/3) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2)) (.f64 (+.f64 a -1/3) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (+.f64 a -1/3) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 1/2)) (.f64 (+.f64 a -1/3) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (.f64 rand 2/3)) 2) 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 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))) 2) (/.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 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))) 2))))) (#(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 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) 2))))) (#(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 (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 not (not (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))))))

simplify336.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2326×	`rational.json-simplify-2`
1638×	`rational.json-simplify-35`
1062×	`rational.json-simplify-1`
1032×	`rational.json-simplify-38`
744×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	216	4347
1	485	4311
2	1021	4241
3	1910	4217
4	3569	4217
5	4125	4217
6	4387	4217
7	4662	4217
8	4925	4217
9	4961	4217
10	5670	4217
11	5980	4217
12	7592	4217

Stop Event

1×	node limit

Counts

115 → 151

Calls

Call 1

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

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

eval267.0ms (1.3%)

Compiler: Compiled 13609 to 11169 computations (17.9% saved)

prune178.0ms (0.9%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	627	4	631
Fresh	0	2	2
Picked	1	0	1
Done	3	9	12
Total	631	15	646

Error

0.0b

Counts

646 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) a) 1/3)
✓	0.4b	(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓	18.8b	(-.f64 a 1/3)
	1.4b	(+.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (*.f64 a 9)) rand)))
	0.1b	(+.f64 a (+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3) rand))))
✓	0.2b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (+.f64 a -1/3) 9)))))
✓	1.4b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
✓	45.5b	(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
✓	46.6b	(.f64 (sqrt.f64 a) (.f64 1/3 rand))
✓	45.5b	(.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
	46.6b	(.f64 rand (.f64 (sqrt.f64 a) 1/3))
	52.6b	(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
✓	46.9b	(.f64 1/3 (.f64 (sqrt.f64 a) rand))
	19.9b	a
	63.1b	-1/3

Compiler

Compiled 161 to 126 computations (21.7% saved)

regimes85.0ms (0.4%)

Counts

25 → 1

Calls

Call 1

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

Calls

4 calls:

38.0ms	a
13.0ms	(-.f64 a (/.f64 1 3))
13.0ms	(.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
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 350 to 271 computations (22.6% saved)

regimes28.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
9.0ms	rand

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`rand`

Compiler

Compiled 187 to 138 computations (26.2% saved)

regimes18.0ms (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 (sqrt.f64 a) 1/3))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))
(.f64 1/3 (.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)

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

Calls

2 calls:

8.0ms	rand
7.0ms	a

Results

Error	Segments	Branch
0.4b	1	`a`
0.4b	1	`rand`

Compiler

Compiled 99 to 70 computations (29.3% saved)

regimes17.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

8.0ms	rand
6.0ms	a

Results

Error	Segments	Branch
1.4b	1	`a`
1.4b	1	`rand`

Compiler

Compiled 87 to 61 computations (29.9% saved)

regimes44.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	a
19.0ms	rand

Results

Error	Segments	Branch
15.6b	4	`a`
4.7b	3	`rand`

Compiler

Compiled 75 to 52 computations (30.7% saved)

bsearch38.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.3581570712959741e+48	4.648361472814455e+52
19.0ms	-2.7658570598054403e+75	-6.305910682736895e+70

Results

34.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes37.0ms (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 (sqrt.f64 a) 1/3))
(.f64 (sqrt.f64 a) (.f64 1/3 rand))
(.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(.f64 rand (.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))

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

Calls

2 calls:

19.0ms	a
15.0ms	rand

Results

Error	Segments	Branch
15.6b	4	`a`
4.7b	3	`rand`

Compiler

Compiled 55 to 37 computations (32.7% saved)

bsearch38.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.3581570712959741e+48	4.648361472814455e+52
18.0ms	-2.7658570598054403e+75	-6.305910682736895e+70

Results

34.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes31.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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:

17.0ms	a
13.0ms	rand

Results

Error	Segments	Branch
15.9b	4	`a`
5.0b	3	`rand`

Compiler

Compiled 39 to 25 computations (35.9% saved)

bsearch38.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.3581570712959741e+48	4.648361472814455e+52
20.0ms	-2.7658570598054403e+75	-6.305910682736895e+70

Results

34.0ms

256×

body

256

valid

Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes110.0ms (0.6%)

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

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

Calls

2 calls:

89.0ms	rand
19.0ms	a

Results

Error	Segments	Branch
15.6b	5	`a`
5.8b	3	`rand`

Compiler

Compiled 31 to 19 computations (38.7% saved)

bsearch38.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.3581570712959741e+48	4.648361472814455e+52
19.0ms	-2.7658570598054403e+75	-6.305910682736895e+70

Results

35.0ms

256×

body

256

valid

Compiler

Compiled 267 to 215 computations (19.5% saved)

regimes31.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	a
11.0ms	rand

Results

Error	Segments	Branch
15.7b	5	`a`
5.8b	3	`rand`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch75.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.3581570712959741e+48	4.648361472814455e+52
56.0ms	-2.7658570598054403e+75	-6.305910682736895e+70

Results

72.0ms

256×

body

256

valid

Compiler

Compiled 267 to 215 computations (19.5% saved)

regimes28.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	a
10.0ms	rand

Results

Error	Segments	Branch
15.9b	5	`a`
6.1b	3	`rand`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch37.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.3581570712959741e+48	4.648361472814455e+52
18.0ms	-2.7658570598054403e+75	-6.305910682736895e+70

Results

34.0ms

256×

body

256

valid

Compiler

Compiled 267 to 215 computations (19.5% saved)

regimes7.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 a 1/3)

Calls

2 calls:

3.0ms	rand
3.0ms	a

Results

Error	Segments	Branch
18.8b	1	`a`
18.8b	1	`rand`

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes7.0ms (0%)

Accuracy

Total -43.5b remaining (-219.1%)

Threshold costs -43.5b (-219.1%)

Counts

2 → 1

Calls

Call 1

Inputs
-1/3
a

Outputs
a

Calls

2 calls:

4.0ms	rand
3.0ms	a

Results

Error	Segments	Branch
19.9b	1	`a`
19.9b	1	`rand`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	551

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 a (+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3) rand))))
(-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(if (<=.f64 rand -120000000000000004241145350782039859599498386095882291964416894858835263488) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) (if (<=.f64 rand 45999999999999999688163639020634886917238588329426944) (-.f64 a 1/3) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))))
(if (<=.f64 rand -13499999999999999535563591654977369629575154954636795430643584002013790208) (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (if (<=.f64 rand 45999999999999999688163639020634886917238588329426944) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))))
(if (<=.f64 rand -759999999999999968274304358010565314996121828669034632152656185774967881728) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 44999999999999999694942690346273258940776879887482880) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -114999999999999992556411112957206798417238677461165433611581209388987187200) (.f64 (sqrt.f64 a) (.f64 1/3 rand)) (if (<=.f64 rand 45999999999999999688163639020634886917238588329426944) (-.f64 a 1/3) (.f64 (sqrt.f64 a) (.f64 1/3 rand))))
(if (<=.f64 rand -4499999999999999845187863884992456543191718318212265143547861334004596736) (.f64 rand (.f64 (sqrt.f64 a) 1/3)) (if (<=.f64 rand 45999999999999999688163639020634886917238588329426944) (-.f64 a 1/3) (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(if (<=.f64 rand -379999999999999984137152179005282657498060914334517316076328092887483940864) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 3499999999999999976273320360265697917615979546804224) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a
-1/3

Outputs
(+.f64 a (+.f64 -1/3 (/.f64 (+.f64 -1/3 a) (/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3) rand))))
(-.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 -1/3 a)) (.f64 rand 1/3)) a) 1/3)
(-.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 a 9)))))
(if (<=.f64 rand -120000000000000004241145350782039859599498386095882291964416894858835263488) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand)) (if (<=.f64 rand 45999999999999999688163639020634886917238588329426944) (-.f64 a 1/3) (.f64 (sqrt.f64 (-.f64 a 1/3)) (.f64 1/3 rand))))
(if (<=.f64 rand -13499999999999999535563591654977369629575154954636795430643584002013790208) (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (if (<=.f64 rand 45999999999999999688163639020634886917238588329426944) (-.f64 a 1/3) (.f64 rand (.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))))
(if (<=.f64 rand -759999999999999968274304358010565314996121828669034632152656185774967881728) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 44999999999999999694942690346273258940776879887482880) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -114999999999999992556411112957206798417238677461165433611581209388987187200) (.f64 (sqrt.f64 a) (.f64 1/3 rand)) (if (<=.f64 rand 45999999999999999688163639020634886917238588329426944) (-.f64 a 1/3) (.f64 (sqrt.f64 a) (.f64 1/3 rand))))
(if (<=.f64 rand -4499999999999999845187863884992456543191718318212265143547861334004596736) (.f64 rand (.f64 (sqrt.f64 a) 1/3)) (if (<=.f64 rand 45999999999999999688163639020634886917238588329426944) (-.f64 a 1/3) (.f64 rand (.f64 (sqrt.f64 a) 1/3))))
(if (<=.f64 rand -379999999999999984137152179005282657498060914334517316076328092887483940864) (.f64 1/3 (.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 3499999999999999976273320360265697917615979546804224) (-.f64 a 1/3) (.f64 1/3 (.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a
-1/3

Compiler

Compiled 233 to 172 computations (26.2% saved)

soundness1.4s (7%)

Algorithm

3×	egg-herbie

Rules

10478×	`rational.json-simplify-41`
1410×	`rational.json-simplify-51`
1356×	`rational.json-simplify-2`
1144×	`rational.json-simplify-1`
1068×	`rational.json-simplify-44`

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	317	5428
1	747	5404
2	2983	5168
3	5287	4944
4	7319	4944
0	242	5077
1	503	5053
2	1406	5017
3	5505	4993
4	7285	4993

Stop Event

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

Compiler

Compiled 356 to 280 computations (21.3% saved)

end131.0ms (0.7%)

Compiler: Compiled 209 to 146 computations (30.1% saved)