Details

analyze38.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
0%	0%	56.2%	43.8%	0%	0%	0%	1
0%	0%	56.2%	43.8%	0%	0%	0%	2
25%	14%	42.1%	43.8%	0%	0%	0%	3
37.5%	21.1%	35.1%	43.8%	0%	0%	0%	4
56.3%	31.6%	24.6%	43.8%	0%	0%	0%	5
65.6%	36.9%	19.3%	43.8%	0%	0%	0%	6
76.6%	43%	13.2%	43.8%	0%	0%	0%	7
82%	46.1%	10.1%	43.8%	0%	0%	0%	8
87.9%	49.4%	6.8%	43.8%	0%	0%	0%	9
90.8%	51%	5.2%	43.8%	0%	0%	0%	10
93.8%	52.7%	3.5%	43.8%	0%	0%	0%	11
95.4%	53.6%	2.6%	43.8%	0%	0%	0%	12

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.9s (11.5%)

Results

1.1s	6447×	body	256	valid
450.0ms	1109×	body	1024	valid
173.0ms	601×	body	512	valid
88.0ms	99×	body	2048	valid

Bogosity

preprocess6.2s (38.6%)

Algorithm

2×	egg-herbie

Rules

3724×	`rational.json-simplify-48`
3698×	`rational.json-simplify-1`
2410×	`rational.json-simplify-41`
1648×	`rational.json-simplify-35`
236×	`rational.json-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	35	74
2	65	74
3	140	74
4	377	74
5	527	74
6	582	74
7	662	74
8	732	74
9	783	74
10	806	74
11	839	74
12	856	74
13	869	74
14	880	74
15	891	74
16	902	74
17	913	74
18	924	74
19	935	74
20	2514	74
21	2621	74
22	2916	74
23	3170	74
24	3348	74
25	3371	74
26	3382	74
27	3393	74
28	3404	74
29	3415	74
30	3448	74
31	3469	74
32	3484	74
33	3497	74
34	3508	74
35	3519	74
36	4804	74
37	4949	74
38	5324	74
39	5421	74
40	5544	74
41	5559	74
42	5572	74
43	5583	74
44	5594	74
45	5605	74
46	5616	74
47	5627	74
48	5638	74
49	5649	74
50	5660	74
51	5671	74
52	5682	74
53	5693	74
54	5704	74
55	5715	74
56	5726	74
57	5737	74
58	5748	74
59	5857	74
60	5917	74
61	6152	74
62	6199	74
63	6214	74
64	6225	74
65	6236	74
66	6247	74
67	6258	74
68	6269	74
69	6280	74
70	6291	74
71	6302	74
72	6447	74
73	6516	74
74	6541	74
75	6562	74
76	6575	74
77	6588	74
78	6599	74
79	6610	74
80	6621	74
81	6632	74
82	6643	74
83	6654	74
84	6665	74
85	6676	74
86	6687	74
87	6698	74
88	6709	74
89	6720	74
90	6731	74
91	6742	74
92	6753	74
93	6764	74
94	6775	74
95	6786	74
96	6797	74
97	6808	74
98	6819	74
99	6830	74
100	6841	74
101	6852	74
102	6863	74
103	6874	74
104	6885	74
105	6896	74
106	6907	74
107	6918	74
108	6929	74
109	6940	74
110	6951	74
111	6962	74
112	6973	74
113	6984	74
114	6995	74
115	7006	74
116	7017	74
117	7028	74
118	7039	74
119	7050	74
120	7061	74
121	7072	74
122	7083	74
123	7094	74
124	7105	74
125	7116	74
126	7127	74
127	7138	74
128	7149	74
129	7160	74
130	7171	74
131	7182	74
132	7193	74
133	7204	74
134	7215	74
135	7226	74
136	7237	74
137	7248	74
138	7259	74
139	7270	74
140	7281	74
141	7292	74
142	7303	74
143	7314	74
144	7325	74
145	7336	74
146	7347	74
147	7358	74
148	7369	74
149	7380	74
150	7391	74
151	7402	74
152	7413	74
153	7424	74
154	7435	74
155	7446	74
156	7457	74
157	7468	74
158	7479	74
159	7490	74
160	7501	74
161	7512	74
162	7523	74
163	7534	74
164	7545	74
165	7556	74
166	7567	74
167	7578	74
168	7589	74
169	7600	74
170	7611	74
171	7622	74
172	7633	74
173	7644	74
174	7655	74
175	7666	74
176	7677	74
177	7688	74
178	7699	74
179	7710	74
180	7721	74
181	7732	74
182	7743	74
183	7754	74
184	7765	74
185	7776	74
186	7787	74
187	7798	74
188	7809	74
189	7820	74
190	7831	74
191	7842	74
192	7853	74
193	7864	74
194	7875	74
195	7886	74
196	7897	74
197	7908	74
198	7919	74
199	7930	74
200	7941	74
201	7952	74
202	7963	74
203	7974	74
204	7985	74
205	7996	74
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 alpha (+.f64 beta 2)))) 2)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify1.2s (7.6%)

Algorithm

1×	egg-herbie

Rules

11766×	`rational.json-simplify-41`
1500×	`rational.json-simplify-1`
1028×	`rational.json-simplify-48`
644×	`rational.json-simplify-35`
60×	`rational.json-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	22	37
2	43	37
3	97	37
4	278	37
5	1009	37
6	1443	37
7	1513	37
8	1626	37
9	1711	37
10	1765	37
11	1794	37
12	1892	37
13	1937	37
14	1987	37
15	2020	37
16	2132	37
17	2174	37
18	2242	37
19	2274	37
20	2288	37
21	2297	37
22	2306	37
23	2314	37
24	2322	37
25	2329	37
26	2336	37
27	2343	37
28	2350	37
29	2357	37
30	2364	37
31	2371	37
32	2378	37
33	2385	37
34	2392	37
35	2399	37
36	2406	37
37	2413	37
38	2420	37
39	2427	37
40	2434	37
41	2441	37
42	2448	37
43	2455	37
44	2462	37
45	2469	37
46	2476	37
47	2483	37
48	2490	37
49	2497	37
50	2504	37
51	2511	37
52	2518	37
53	2525	37
54	2532	37
55	2539	37
56	2546	37
57	2553	37
58	2560	37
59	2567	37
60	2574	37
61	2581	37
62	2588	37
63	2595	37
64	2602	37
65	2609	37
66	2616	37
67	2623	37
68	2630	37
69	2637	37
70	2644	37
71	2651	37
72	2658	37
73	2665	37
74	2672	37
75	2679	37
76	2686	37
77	2693	37
78	2700	37
79	2707	37
80	2714	37
81	2721	37
82	2728	37
83	2735	37
84	2742	37
85	2749	37
86	2756	37
87	2763	37
88	2770	37
89	2777	37
90	2784	37
91	2791	37
92	2798	37
93	2805	37
94	2812	37
95	2819	37
96	2826	37
97	2833	37
98	2840	37
99	2847	37
100	2854	37
101	2861	37
102	2868	37
103	2875	37
104	2882	37
105	2889	37
106	2896	37
107	2903	37
108	2910	37
109	2917	37
110	2924	37
111	2931	37
112	2938	37
113	2945	37
114	2952	37
115	2959	37
116	2966	37
117	2973	37
118	2980	37
119	2987	37
120	2994	37
121	3001	37
122	3008	37
123	3015	37
124	3022	37
125	3029	37
126	3036	37
127	3043	37
128	3050	37
129	3057	37
130	3064	37
131	3071	37
132	3078	37
133	3085	37
134	3092	37
135	3099	37
136	3106	37
137	3113	37
138	3120	37
139	3127	37
140	3134	37
141	3141	37
142	3148	37
143	3155	37
144	3162	37
145	3169	37
146	3176	37
147	3183	37
148	3190	37
149	3197	37
150	3204	37
151	3211	37
152	3218	37
153	3225	37
154	3232	37
155	3239	37
156	3246	37
157	3253	37
158	3260	37
159	3267	37
160	3274	37

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)

eval1.0ms (0%)

Compiler: Compiled 54 to 35 computations (35.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

13.0b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.0b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	1.4b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	0	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
1.0ms	alpha	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms	alpha	@	-inf	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`rational.json-simplify-50`
866×	`rational.json-simplify-1`
712×	`bool.json-1`
712×	`bool.json-2`
686×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	117	56
2	345	56
3	816	56
4	2064	56
5	6161	56

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))

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

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 beta alpha) 8) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 beta alpha) (/.f64 2 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 beta (+.f64 alpha 2))) (*.f64 (-.f64 alpha beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 beta alpha) -2) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 beta alpha) -2) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule 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alpha) 1/2) (/.f64 2 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 alpha beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 beta alpha) -2) (*.f64 2 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))

simplify140.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1186×	`rational.json-simplify-35`
982×	`rational.json-simplify-44`
948×	`rational.json-simplify-2`
932×	`rational.json-simplify-47`
916×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	416	8472
1	1025	8252
2	2275	7822
3	7429	7776

Stop Event

1×	node limit

Counts

144 → 296

Calls

Call 1

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

Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))
(-.f64 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (+.f64 1 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (+.f64 1 (.f64 (pow.f64 beta 2) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (-.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 1 (-.f64 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (.f64 (pow.f64 beta 2) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (-.f64 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (neg.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (+.f64 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))) (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2)))))))
2
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) 2)
(+.f64 2 (.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 (+.f64 2 (.f64 alpha (/.f64 (+.f64 alpha 2) (pow.f64 beta 2)))) (-.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 alpha 2)) beta)) (.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 beta 2)))))
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(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (-.f64 alpha beta) (.f64 -1 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 1 (.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))
(.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 1 (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 2 (.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (*.f64 2 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))
(.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 1 (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(.f64 (.f64 2 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (/.f64 1 (.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (.f64 2 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))
(.f64 (.f64 2 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 1 (.f64 2 (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))))
(.f64 (.f64 2 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 1/2 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))))
(.f64 (.f64 2 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))) (.f64 (.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(.f64 (.f64 (.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (.f64 2 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))))
(.f64 (.f64 2 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (/.f64 1/2 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))
(.f64 (.f64 2 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 1 (.f64 2 (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))))
(.f64 (.f64 2 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 1/2 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))))
(.f64 (.f64 2 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))) (.f64 (.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(.f64 (.f64 (.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (.f64 2 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))))
(.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4) 1/4)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 (-.f64 beta alpha) 8) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) 8)))
(.f64 (.f64 (-.f64 beta alpha) 8) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 2 beta)) 8)))
(.f64 (.f64 (-.f64 beta alpha) 8) (/.f64 1/8 (+.f64 alpha (+.f64 2 beta))))
(.f64 (-.f64 beta alpha) (.f64 8 (/.f64 1/8 (+.f64 2 (+.f64 alpha beta)))))
(.f64 (/.f64 1 (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))
(.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 1 (.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))))
(/.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))))
(.f64 1/2 (.f64 (-.f64 beta alpha) (/.f64 2 (+.f64 beta (+.f64 alpha 2)))))
(.f64 (-.f64 beta alpha) (.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 2 beta)))))
(.f64 (-.f64 beta alpha) (.f64 1/2 (/.f64 2 (+.f64 2 (+.f64 alpha beta)))))
(.f64 (/.f64 1/2 (+.f64 beta (+.f64 alpha 2))) (.f64 (-.f64 alpha beta) -2))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 (-.f64 beta alpha) -2) (/.f64 -1/2 (+.f64 beta (+.f64 alpha 2))))
(.f64 (.f64 (-.f64 beta alpha) -2) (/.f64 -1/2 (+.f64 alpha (+.f64 2 beta))))
(.f64 (-.f64 beta alpha) (.f64 -2 (/.f64 -1/2 (+.f64 2 (+.f64 alpha beta)))))
(.f64 (.f64 (-.f64 beta alpha) -2) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(.f64 (.f64 (-.f64 beta alpha) -2) (/.f64 -1/2 (+.f64 alpha (+.f64 2 beta))))
(.f64 (-.f64 beta alpha) (.f64 -2 (/.f64 -1/2 (+.f64 2 (+.f64 alpha beta)))))
(.f64 (.f64 (-.f64 beta alpha) -2) (/.f64 -1 (*.f64 2 (+.f64 beta (+.f64 alpha 2)))))
(.f64 (.f64 (-.f64 beta alpha) -2) (/.f64 -1/2 (+.f64 alpha (+.f64 2 beta))))
(.f64 (-.f64 beta alpha) (.f64 -2 (/.f64 -1/2 (+.f64 2 (+.f64 alpha beta)))))
(.f64 (.f64 2 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (-.f64 beta alpha) 1/2))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) -1)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 1/2 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (/.f64 2 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))
(.f64 (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) 1/2) (/.f64 2 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 2 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))))
(.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) (.f64 1/2 (/.f64 2 (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))))))
(.f64 (/.f64 1/2 (-.f64 beta alpha)) (/.f64 (.f64 2 (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))
(.f64 (/.f64 1/2 (-.f64 beta alpha)) (/.f64 (.f64 2 (+.f64 alpha (+.f64 2 beta))) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))))
(.f64 (/.f64 1/2 (-.f64 beta alpha)) (.f64 2 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 2 beta))))))))
(.f64 (/.f64 1/2 (-.f64 beta alpha)) (/.f64 (.f64 2 (-.f64 beta alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))))
(.f64 (.f64 (-.f64 beta alpha) (/.f64 1/2 (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 2 (+.f64 beta (+.f64 alpha 2))) (.f64 (-.f64 beta alpha) 1/2))
(.f64 (-.f64 beta alpha) (.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 2 beta)))))
(.f64 (-.f64 beta alpha) (.f64 1/2 (/.f64 2 (+.f64 2 (+.f64 alpha beta)))))
(.f64 (/.f64 2 (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (*.f64 2 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))
(.f64 (/.f64 2 (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 2 (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))))
(.f64 (/.f64 2 (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 2 (+.f64 alpha beta)) (.f64 (-.f64 beta alpha) 1/2))))
(.f64 (/.f64 1 (-.f64 alpha beta)) (/.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))
(.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 1 (.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))))
(/.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))))
(.f64 1/4 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 4))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (/.f64 1 (.f64 (+.f64 beta (+.f64 alpha 2)) 4)) (*.f64 (-.f64 alpha beta) -4))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 -1 (+.f64 beta (+.f64 alpha 2))) (-.f64 alpha beta))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(.f64 (.f64 (-.f64 beta alpha) 1/2) (/.f64 2 (+.f64 beta (+.f64 alpha 2))))
(.f64 (-.f64 beta alpha) (.f64 1/2 (/.f64 2 (+.f64 alpha (+.f64 2 beta)))))
(.f64 (-.f64 beta alpha) (.f64 1/2 (/.f64 2 (+.f64 2 (+.f64 alpha beta)))))
(neg.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(neg.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 alpha beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))
(.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 1 (.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))))))
(/.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 beta alpha))))
(neg.f64 (/.f64 (.f64 (-.f64 beta alpha) -2) (.f64 2 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))

eval243.0ms (1.5%)

Compiler: Compiled 9436 to 6714 computations (28.8% saved)

prune125.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	287	9	296
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	288	9	297

Error

0.0b

Counts

297 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	48.5b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	29.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	50.7b	(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))))) 2)
▶	14.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	51.8b	(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))))))) 2)
▶	44.1b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
	61.7b	(/.f64 (+.f64 -1 1) 2)
	50.5b	(/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))) 2)
▶	38.7b	(/.f64 2 2)

Compiler

Compiled 418 to 332 computations (20.6% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 beta (+.f64 beta 2))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1756×	`bool.json-1`
1756×	`bool.json-2`
1718×	`rational.json-1`
1718×	`rational.json-2`
1490×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	63	13
2	207	13
3	519	13
4	1350	13
5	4802	13

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs
(/.f64 beta (+.f64 beta 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 beta 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 beta (.f64 (.f64 2 (/.f64 1 (+.f64 beta 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 beta (.f64 (/.f64 2 (+.f64 beta 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 beta (/.f64 1/2 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 beta 2) (/.f64 (/.f64 1 beta) (.f64 (/.f64 (+.f64 beta 2) beta) (/.f64 (+.f64 beta 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 beta beta) (/.f64 1/2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 beta 1/2) (+.f64 beta 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 beta 4) (/.f64 2 (.f64 (+.f64 beta 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 beta 4) (.f64 (/.f64 2 (.f64 (+.f64 beta 2) 8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 beta 4) (.f64 1/4 (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 beta 4) (.f64 1/2 (/.f64 1/2 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 beta) (/.f64 -1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 beta) (.f64 (/.f64 -1 (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 beta 2) beta) (/.f64 1 (.f64 (/.f64 (+.f64 beta 2) beta) (/.f64 (+.f64 beta 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 beta 2) beta) (/.f64 2 (.f64 2 (.f64 (/.f64 (+.f64 beta 2) beta) (/.f64 (+.f64 beta 2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 beta (neg.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 beta (neg.f64 (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (+.f64 beta beta) (neg.f64 (+.f64 beta (+.f64 beta 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 (+.f64 beta 2) beta)) (/.f64 1 (.f64 2 (.f64 (/.f64 (+.f64 beta 2) beta) (/.f64 (+.f64 beta 2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 (+.f64 beta 2) beta)) (/.f64 1/2 (.f64 (/.f64 (+.f64 beta 2) beta) (/.f64 (+.f64 beta 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 beta (.f64 (+.f64 beta 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 beta (+.f64 beta 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 1/2 (/.f64 1 beta))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 beta 8) (/.f64 1 (.f64 (+.f64 beta 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (/.f64 beta 1/2) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 beta) (/.f64 (+.f64 beta 2) (.f64 (/.f64 (+.f64 beta 2) beta) (/.f64 (+.f64 beta 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 beta) (/.f64 (+.f64 beta (+.f64 beta 4)) (.f64 2 (.f64 (/.f64 (+.f64 beta 2) beta) (/.f64 (+.f64 beta 2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 beta -2) (/.f64 1/2 (neg.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 beta -2) (/.f64 1 (.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 beta -2) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 beta 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 (+.f64 beta 2))) (.f64 beta 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 beta (neg.f64 (+.f64 beta 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 beta) (/.f64 (+.f64 beta (+.f64 beta 4)) (.f64 (/.f64 (+.f64 beta 2) beta) (/.f64 (+.f64 beta 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 beta 2)) (.f64 beta 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (/.f64 1 beta)) (/.f64 2 (.f64 (/.f64 (+.f64 beta 2) beta) (/.f64 (+.f64 beta 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 beta (/.f64 1/2 (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 beta) (/.f64 (+.f64 beta 2) (.f64 2 (.f64 (/.f64 (+.f64 beta 2) beta) (/.f64 (+.f64 beta 2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 2 (+.f64 1/2 (/.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 beta) (/.f64 (neg.f64 (+.f64 beta 2)) (.f64 (/.f64 (+.f64 beta 2) beta) (/.f64 (+.f64 beta 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (+.f64 beta 2) 8)) (.f64 beta 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 beta 2)) (neg.f64 beta))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 beta 1/2) (/.f64 2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 1/2 (+.f64 beta 2))) beta)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (neg.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 beta (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))))))

Outputs

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

simplify399.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1262×	`rational.json-simplify-53`
1098×	`rational.json-simplify-54`
936×	`rational.json-simplify-2`
748×	`rational.json-simplify-1`
612×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	1648
1	340	1642
2	763	1474
3	2918	1426
4	5246	1426

Stop Event

1×	node limit

Counts

64 → 93

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 alpha 2))
✓	1.8b	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1908×	`bool.json-1`
1908×	`bool.json-2`
1868×	`rational.json-1`
1596×	`bool.json-3`
600×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	88	32
2	279	32
3	644	32
4	1568	32
5	5283	32

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))

Outputs

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

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

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1130×	`rational.json-simplify-2`
1088×	`rational.json-simplify-1`
1062×	`rational.json-simplify-53`
726×	`rational.json-simplify-54`
654×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	202	2607
1	451	2589
2	1024	2421
3	3336	2349
4	5691	2337

Stop Event

1×	node limit

Counts

99 → 148

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)

Compiler

Compiled 50 to 38 computations (24% saved)

series63.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
60.0ms	alpha	@	inf	(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
1.0ms	beta	@	0	(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
0.0ms	alpha	@	0	(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
0.0ms	alpha	@	-inf	(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
0.0ms	beta	@	inf	(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1896×	`bool.json-1`
1896×	`bool.json-2`
1856×	`rational.json-1`
1598×	`bool.json-3`
580×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	82	19
2	247	19
3	590	19
4	1496	19
5	5213	19

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 1/2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 1 beta)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 alpha alpha)) (*.f64 (/.f64 2 beta) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 (/.f64 2 (+.f64 (*.f64 alpha 4) 4)) (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 alpha 4) 4) (/.f64 1/2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 alpha 4) 4) beta) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 alpha 4) 4)) (/.f64 2 (*.f64 beta 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 alpha 4) 4)) (*.f64 (/.f64 2 (*.f64 beta 8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 alpha 4) 4)) (*.f64 1/4 (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 alpha 4) 4)) (*.f64 1/2 (/.f64 1/2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (+.f64 2 (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 1 (/.f64 2 (+.f64 (*.f64 alpha 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 2 (+.f64 alpha alpha))) (/.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 2 (+.f64 alpha alpha))) (*.f64 (/.f64 -1 beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 1 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 2 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (*.f64 (+.f64 (*.f64 alpha 4) 4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (neg.f64 beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (*.f64 alpha 4) 4) (neg.f64 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (*.f64 (+.f64 (*.f64 alpha 4) 4) 1/4)) (/.f64 1 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (*.f64 (+.f64 (*.f64 alpha 4) 4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (*.f64 (+.f64 (*.f64 alpha 4) 4) 1/4)) (/.f64 1/2 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (*.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 alpha 4) 4) (/.f64 2 beta)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 alpha alpha)) 8) (/.f64 1 (*.f64 beta 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 (*.f64 alpha 4) 4) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (*.f64 alpha 4) 4)) (/.f64 beta (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (*.f64 alpha 4) 4)) (/.f64 (+.f64 beta beta) (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (*.f64 (+.f64 (*.f64 alpha 4) 4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 beta) (+.f64 (*.f64 alpha 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 alpha 4) 4)) (/.f64 1/2 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 alpha 4) 4)) (/.f64 1 (*.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 alpha 4) 4)) (/.f64 1 (neg.f64 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 (+.f64 (*.f64 alpha 4) 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (neg.f64 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 1/2 beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 alpha 4) 4)) (/.f64 (+.f64 beta beta) (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 (*.f64 alpha 4) 4)) (/.f64 2 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 beta) (*.f64 (+.f64 (*.f64 alpha 4) 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 alpha 4) 4) (/.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 beta 8)) (*.f64 2 (+.f64 (*.f64 alpha 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 beta) (neg.f64 (+.f64 2 (+.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (*.f64 (+.f64 (*.f64 alpha 4) 4) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 2 (+.f64 alpha alpha))) (/.f64 (neg.f64 beta) (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 alpha 4) 4) 1/4) (/.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 beta) (/.f64 1/2 beta)) (+.f64 2 (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta))))))

simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1898×	`rational.json-simplify-35`
1344×	`rational.json-simplify-51`
1110×	`rational.json-simplify-53`
742×	`rational.json-simplify-49`
690×	`rational.json-simplify-46`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	135	2306
1	309	2246
2	715	2166
3	2074	2166
4	5516	2158

Stop Event

1×	node limit

Counts

76 → 106

Calls

Call 1

Inputs
(/.f64 2 beta)
(+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))
(+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))
(+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 alpha beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 alpha beta)))
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(+.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) 0)
(+.f64 0 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta))
(-.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) 0)
(.f64 2 (.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 1/2 beta)))
(*.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 1 beta))
(.f64 (+.f64 2 (+.f64 alpha alpha)) (.f64 (*.f64 2 (/.f64 1 beta)) 1/2))
(.f64 (+.f64 2 (+.f64 alpha alpha)) (.f64 (/.f64 2 beta) 1/2))
(.f64 beta (/.f64 (/.f64 2 (+.f64 (.f64 alpha 4) 4)) (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) 1)
(*.f64 1 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta))
(.f64 (+.f64 (.f64 alpha 4) 4) (/.f64 1/2 beta))
(.f64 (/.f64 (+.f64 (.f64 alpha 4) 4) beta) 1/2)
(.f64 (.f64 2 (+.f64 (.f64 alpha 4) 4)) (/.f64 2 (.f64 beta 8)))
(.f64 (.f64 2 (+.f64 (.f64 alpha 4) 4)) (.f64 (/.f64 2 (*.f64 beta 8)) 1))
(.f64 (.f64 2 (+.f64 (.f64 alpha 4) 4)) (.f64 1/4 (/.f64 1 beta)))
(.f64 (.f64 2 (+.f64 (.f64 alpha 4) 4)) (.f64 1/2 (/.f64 1/2 beta)))
(*.f64 (/.f64 1 beta) (+.f64 2 (+.f64 alpha alpha)))
(.f64 (/.f64 1 beta) (/.f64 1 (/.f64 2 (+.f64 (.f64 alpha 4) 4))))
(*.f64 (neg.f64 (+.f64 2 (+.f64 alpha alpha))) (/.f64 -1 beta))
(.f64 (neg.f64 (+.f64 2 (+.f64 alpha alpha))) (.f64 (/.f64 -1 beta) 1))
(.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 1 (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 2 (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (+.f64 (.f64 alpha 4) 4) 1/4)))))
(*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (neg.f64 beta)))
(.f64 -1 (.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (neg.f64 beta)) 1))
(.f64 -1 (/.f64 (+.f64 (.f64 alpha 4) 4) (neg.f64 (+.f64 beta beta))))
(.f64 (/.f64 beta (.f64 (+.f64 (.f64 alpha 4) 4) 1/4)) (/.f64 1 (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (+.f64 (.f64 alpha 4) 4) 1/4)))))
(.f64 (/.f64 beta (.f64 (+.f64 (.f64 alpha 4) 4) 1/4)) (/.f64 1/2 (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 4 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (.f64 beta 4)))
(*.f64 4 (/.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) 4))
(.f64 (.f64 (+.f64 (*.f64 alpha 4) 4) (/.f64 2 beta)) 1/4)
(.f64 (.f64 (+.f64 2 (+.f64 alpha alpha)) 8) (/.f64 1 (*.f64 beta 8)))
(.f64 1/2 (/.f64 (+.f64 (.f64 alpha 4) 4) beta))
(.f64 (/.f64 2 (+.f64 (.f64 alpha 4) 4)) (/.f64 beta (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (/.f64 2 (+.f64 (.f64 alpha 4) 4)) (/.f64 (+.f64 beta beta) (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (+.f64 (*.f64 alpha 4) 4) 1/4)))))
(.f64 (/.f64 1/2 beta) (+.f64 (.f64 alpha 4) 4))
(.f64 (neg.f64 (+.f64 (.f64 alpha 4) 4)) (/.f64 1/2 (neg.f64 beta)))
(.f64 (neg.f64 (+.f64 (.f64 alpha 4) 4)) (/.f64 1 (*.f64 beta -2)))
(.f64 (neg.f64 (+.f64 (.f64 alpha 4) 4)) (/.f64 1 (neg.f64 (+.f64 beta beta))))
(.f64 (.f64 2 (/.f64 1 beta)) (.f64 (+.f64 (.f64 alpha 4) 4) 1/4))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (neg.f64 beta)) -1)
(.f64 (.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 1/2 beta)) 2)
(.f64 (/.f64 1 (+.f64 (.f64 alpha 4) 4)) (/.f64 (+.f64 beta beta) (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (/.f64 beta (+.f64 (.f64 alpha 4) 4)) (/.f64 2 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (/.f64 2 beta) (.f64 (+.f64 (*.f64 alpha 4) 4) 1/4))
(.f64 1/4 (.f64 (+.f64 (*.f64 alpha 4) 4) (/.f64 2 beta)))
(.f64 (/.f64 2 (.f64 beta 8)) (.f64 2 (+.f64 (.f64 alpha 4) 4)))
(*.f64 (/.f64 -1 beta) (neg.f64 (+.f64 2 (+.f64 alpha alpha))))
(.f64 (/.f64 2 (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (+.f64 (.f64 alpha 4) 4) 1/4)))))
(.f64 (/.f64 -1 (+.f64 2 (+.f64 alpha alpha))) (/.f64 (neg.f64 beta) (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (.f64 (+.f64 (*.f64 alpha 4) 4) 1/4) (/.f64 2 beta))
(*.f64 (+.f64 (/.f64 1/2 beta) (/.f64 1/2 beta)) (+.f64 2 (+.f64 alpha alpha)))
(neg.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (neg.f64 beta)))

Outputs
(/.f64 2 beta)
(+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))
(*.f64 2 (+.f64 (/.f64 alpha beta) (/.f64 1 beta)))
(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))
(*.f64 2 (+.f64 (/.f64 alpha beta) (/.f64 1 beta)))
(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))
(*.f64 2 (+.f64 (/.f64 alpha beta) (/.f64 1 beta)))
(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 alpha beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))
(*.f64 2 (+.f64 (/.f64 alpha beta) (/.f64 1 beta)))
(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))
(*.f64 2 (+.f64 (/.f64 alpha beta) (/.f64 1 beta)))
(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))
(*.f64 2 (+.f64 (/.f64 alpha beta) (/.f64 1 beta)))
(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 alpha beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))
(*.f64 2 (+.f64 (/.f64 alpha beta) (/.f64 1 beta)))
(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))
(*.f64 2 (+.f64 (/.f64 alpha beta) (/.f64 1 beta)))
(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 1 beta)) (.f64 2 (/.f64 alpha beta)))
(+.f64 (.f64 2 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))
(*.f64 2 (+.f64 (/.f64 alpha beta) (/.f64 1 beta)))
(+.f64 (/.f64 2 beta) (*.f64 2 (/.f64 alpha beta)))
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(+.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) 0)
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(+.f64 0 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(-.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) 0)
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 2 (.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 1/2 beta)))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(*.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 1 beta))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 (+.f64 2 (+.f64 alpha alpha)) (.f64 (*.f64 2 (/.f64 1 beta)) 1/2))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 (+.f64 2 (+.f64 alpha alpha)) (.f64 (/.f64 2 beta) 1/2))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 beta (/.f64 (/.f64 2 (+.f64 (.f64 alpha 4) 4)) (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 beta (/.f64 2 (.f64 (+.f64 4 (.f64 alpha 4)) (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))))))
(.f64 beta (/.f64 (/.f64 (/.f64 2 (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))) (+.f64 4 (.f64 alpha 4))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))))
(.f64 beta (/.f64 (/.f64 2 (+.f64 4 (.f64 alpha 4))) (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 beta (/.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))) (/.f64 beta (/.f64 2 (+.f64 4 (.f64 alpha 4))))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) 1)
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(*.f64 1 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 (+.f64 (.f64 alpha 4) 4) (/.f64 1/2 beta))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 (/.f64 (+.f64 (.f64 alpha 4) 4) beta) 1/2)
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 (.f64 2 (+.f64 (.f64 alpha 4) 4)) (/.f64 2 (.f64 beta 8)))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 (.f64 2 (+.f64 (.f64 alpha 4) 4)) (.f64 (/.f64 2 (*.f64 beta 8)) 1))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 (.f64 2 (+.f64 (.f64 alpha 4) 4)) (.f64 1/4 (/.f64 1 beta)))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 (.f64 2 (+.f64 (.f64 alpha 4) 4)) (.f64 1/2 (/.f64 1/2 beta)))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(*.f64 (/.f64 1 beta) (+.f64 2 (+.f64 alpha alpha)))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 (/.f64 1 beta) (/.f64 1 (/.f64 2 (+.f64 (.f64 alpha 4) 4))))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(*.f64 (neg.f64 (+.f64 2 (+.f64 alpha alpha))) (/.f64 -1 beta))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 (neg.f64 (+.f64 2 (+.f64 alpha alpha))) (.f64 (/.f64 -1 beta) 1))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 1 (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (.f64 beta (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)))
(.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 2 (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (+.f64 (.f64 alpha 4) 4) 1/4)))))
(.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 (/.f64 2 (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))) (/.f64 beta (.f64 (+.f64 4 (*.f64 alpha 4)) 1/4))))
(.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 2 (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (+.f64 4 (.f64 alpha 4)) 1/4)))))
(.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (/.f64 (.f64 1/2 (+.f64 4 (*.f64 alpha 4))) beta))))
(.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (.f64 (/.f64 (+.f64 4 (*.f64 alpha 4)) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))) (/.f64 1/2 beta)))
(.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (.f64 (/.f64 1/2 beta) (+.f64 4 (*.f64 alpha 4))))))
(*.f64 -1 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (neg.f64 beta)))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 -1 (.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (neg.f64 beta)) 1))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 -1 (/.f64 (+.f64 (.f64 alpha 4) 4) (neg.f64 (+.f64 beta beta))))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 (/.f64 beta (.f64 (+.f64 (.f64 alpha 4) 4) 1/4)) (/.f64 1 (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (+.f64 (.f64 alpha 4) 4) 1/4)))))
(.f64 (/.f64 beta (.f64 (+.f64 4 (.f64 alpha 4)) 1/4)) (/.f64 (/.f64 1 (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))) (/.f64 beta (.f64 (+.f64 4 (*.f64 alpha 4)) 1/4))))
(.f64 (/.f64 beta (.f64 (+.f64 4 (.f64 alpha 4)) 1/4)) (/.f64 1 (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (+.f64 4 (.f64 alpha 4)) 1/4)))))
(.f64 (/.f64 (/.f64 beta (+.f64 4 (.f64 alpha 4))) 1/4) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (.f64 beta (/.f64 (/.f64 beta (+.f64 4 (.f64 alpha 4))) 1/4))))
(/.f64 (/.f64 beta (.f64 (+.f64 4 (.f64 alpha 4)) 1/4)) (/.f64 (/.f64 (/.f64 beta (+.f64 4 (*.f64 alpha 4))) (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)) 1/4))
(.f64 (/.f64 beta (.f64 (+.f64 4 (.f64 alpha 4)) 1/4)) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (.f64 (+.f64 4 (*.f64 alpha 4)) (/.f64 1/4 beta)))))
(.f64 (/.f64 beta (.f64 (+.f64 (.f64 alpha 4) 4) 1/4)) (/.f64 1/2 (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (/.f64 beta (.f64 (+.f64 4 (*.f64 alpha 4)) 1/4)) (/.f64 (/.f64 1/2 (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))))
(.f64 (/.f64 beta (.f64 (+.f64 4 (*.f64 alpha 4)) 1/4)) (/.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta 1/2)) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))))
(.f64 (/.f64 (/.f64 beta (+.f64 4 (.f64 alpha 4))) 1/4) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (/.f64 (+.f64 2 (+.f64 alpha alpha)) (+.f64 beta beta)))))
(.f64 (/.f64 beta (.f64 (+.f64 4 (.f64 alpha 4)) 1/4)) (.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (+.f64 beta beta))))
(.f64 4 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (.f64 beta 4)))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(*.f64 4 (/.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) beta) 4))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 (.f64 (+.f64 (*.f64 alpha 4) 4) (/.f64 2 beta)) 1/4)
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 (.f64 (+.f64 2 (+.f64 alpha alpha)) 8) (/.f64 1 (*.f64 beta 8)))
(.f64 (.f64 (+.f64 2 (+.f64 alpha alpha)) 8) (/.f64 (/.f64 1 beta) 8))
(.f64 (.f64 (+.f64 2 (+.f64 alpha alpha)) 8) (/.f64 1/8 beta))
(.f64 (+.f64 2 (+.f64 alpha alpha)) (.f64 8 (/.f64 1/8 beta)))
(.f64 1/2 (/.f64 (+.f64 (.f64 alpha 4) 4) beta))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 (/.f64 2 (+.f64 (.f64 alpha 4) 4)) (/.f64 beta (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (/.f64 2 (+.f64 4 (.f64 alpha 4))) (/.f64 beta (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (/.f64 2 (+.f64 4 (.f64 alpha 4))) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))))
(.f64 (/.f64 2 (+.f64 (.f64 alpha 4) 4)) (/.f64 (+.f64 beta beta) (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (+.f64 (*.f64 alpha 4) 4) 1/4)))))
(.f64 (/.f64 2 (+.f64 4 (.f64 alpha 4))) (/.f64 (/.f64 (+.f64 beta beta) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))) (/.f64 beta (.f64 (+.f64 4 (.f64 alpha 4)) 1/4))))
(.f64 (/.f64 2 (+.f64 4 (.f64 alpha 4))) (/.f64 (+.f64 beta beta) (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (+.f64 4 (*.f64 alpha 4)) 1/4)))))
(.f64 (/.f64 2 (+.f64 4 (.f64 alpha 4))) (/.f64 (.f64 1/2 (+.f64 4 (.f64 alpha 4))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))))
(.f64 1/2 (.f64 (/.f64 (+.f64 4 (.f64 alpha 4)) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))) (/.f64 2 (+.f64 4 (.f64 alpha 4)))))
(.f64 (/.f64 2 (+.f64 4 (.f64 alpha 4))) (.f64 (+.f64 4 (.f64 alpha 4)) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (+.f64 beta beta))))
(.f64 (/.f64 1/2 beta) (+.f64 (.f64 alpha 4) 4))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 (neg.f64 (+.f64 (.f64 alpha 4) 4)) (/.f64 1/2 (neg.f64 beta)))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 (neg.f64 (+.f64 (.f64 alpha 4) 4)) (/.f64 1 (*.f64 beta -2)))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 (neg.f64 (+.f64 (.f64 alpha 4) 4)) (/.f64 1 (neg.f64 (+.f64 beta beta))))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 (.f64 2 (/.f64 1 beta)) (.f64 (+.f64 (.f64 alpha 4) 4) 1/4))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (neg.f64 beta)) -1)
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 (.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 1/2 beta)) 2)
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 (/.f64 1 (+.f64 (.f64 alpha 4) 4)) (/.f64 (+.f64 beta beta) (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (/.f64 1 (+.f64 4 (.f64 alpha 4))) (/.f64 (/.f64 (+.f64 beta beta) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))))
(.f64 (/.f64 1 (+.f64 4 (.f64 alpha 4))) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (+.f64 beta beta))))))
(.f64 (/.f64 1 (+.f64 4 (.f64 alpha 4))) (/.f64 (+.f64 alpha (+.f64 alpha (+.f64 (+.f64 alpha alpha) 4))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))))
(.f64 (/.f64 1 (+.f64 4 (.f64 alpha 4))) (/.f64 (+.f64 alpha (+.f64 alpha (+.f64 alpha (+.f64 alpha 4)))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))))
(.f64 (/.f64 1 (+.f64 4 (.f64 alpha 4))) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (*.f64 2 (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (/.f64 beta (+.f64 (.f64 alpha 4) 4)) (/.f64 2 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (/.f64 beta (+.f64 4 (.f64 alpha 4))) (/.f64 2 (*.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (/.f64 beta (+.f64 4 (.f64 alpha 4))) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (/.f64 2 (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))))))
(.f64 (/.f64 2 beta) (.f64 (+.f64 (*.f64 alpha 4) 4) 1/4))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 1/4 (.f64 (+.f64 (*.f64 alpha 4) 4) (/.f64 2 beta)))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(.f64 (/.f64 2 (.f64 beta 8)) (.f64 2 (+.f64 (.f64 alpha 4) 4)))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(*.f64 (/.f64 -1 beta) (neg.f64 (+.f64 2 (+.f64 alpha alpha))))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(.f64 (/.f64 2 (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (+.f64 (.f64 alpha 4) 4) 1/4)))))
(.f64 (/.f64 2 (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (.f64 (+.f64 4 (.f64 alpha 4)) 1/4)))))
(.f64 (/.f64 2 (+.f64 2 (+.f64 alpha alpha))) (.f64 (+.f64 4 (*.f64 alpha 4)) (/.f64 1/4 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(.f64 (+.f64 4 (.f64 alpha 4)) (*.f64 (/.f64 1/4 (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))) (/.f64 2 (+.f64 2 (+.f64 alpha alpha)))))
(.f64 (/.f64 2 (+.f64 2 (+.f64 alpha alpha))) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (.f64 (+.f64 4 (*.f64 alpha 4)) 1/4))))
(.f64 (/.f64 -1 (+.f64 2 (+.f64 alpha alpha))) (/.f64 (neg.f64 beta) (.f64 (/.f64 beta (+.f64 2 (+.f64 alpha alpha))) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))))
(*.f64 (/.f64 -1 (+.f64 2 (+.f64 alpha alpha))) (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (/.f64 (neg.f64 beta) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))))))
(/.f64 (neg.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (+.f64 2 (+.f64 alpha alpha))))) (neg.f64 (+.f64 2 (+.f64 alpha alpha))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (/.f64 beta (+.f64 2 (+.f64 alpha alpha)))) (/.f64 1 (+.f64 2 (+.f64 alpha alpha))))
(.f64 (.f64 (+.f64 (*.f64 alpha 4) 4) 1/4) (/.f64 2 beta))
(.f64 (/.f64 1/2 beta) (+.f64 4 (.f64 alpha 4)))
(/.f64 1/2 (/.f64 beta (+.f64 4 (*.f64 alpha 4))))
(*.f64 (+.f64 (/.f64 1/2 beta) (/.f64 1/2 beta)) (+.f64 2 (+.f64 alpha alpha)))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)
(neg.f64 (/.f64 (+.f64 2 (+.f64 alpha alpha)) (neg.f64 beta)))
(/.f64 (+.f64 2 (+.f64 alpha alpha)) beta)

localize127.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.3b	(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
✓	5.4b	(*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))
✓	6.2b	(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))))))
✓	12.1b	(+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))))

Compiler

Compiled 283 to 199 computations (29.7% saved)

series14.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	beta	@	inf	(+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))))
2.0ms	beta	@	-inf	(*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))
1.0ms	alpha	@	0	(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))))))
1.0ms	beta	@	0	(+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))))
1.0ms	alpha	@	0	(+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))))

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`bool.json-1`
1776×	`bool.json-2`
1748×	`rational.json-1`
1748×	`rational.json-2`
1354×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	308
1	260	308
2	722	308
3	1807	308
4	5063	308

Stop Event

1×	node limit

Counts

4 → 56

Calls

Call 1

Inputs
(+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))))))
(*.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))) 4) (.f64 (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))))))))
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(pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (pow.f64 alpha 3) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 beta) (-.f64 0 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (.f64 2 (pow.f64 alpha 3)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta beta) (.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 beta (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 (pow.f64 alpha 3)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 beta 4) (.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 4) (.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 beta 4) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 2 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (neg.f64 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (/.f64 1/2 (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 1/2 (pow.f64 alpha 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (.f64 1/2 (/.f64 1 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (+.f64 beta 2) 2) 4) (/.f64 1 (.f64 (pow.f64 alpha 3) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (neg.f64 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (pow.f64 alpha 3)) (.f64 2 (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))))))

simplify238.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1020×	`rational.json-simplify-2`
896×	`rational.json-simplify-53`
846×	`rational.json-simplify-51`
720×	`rational.json-simplify-35`
682×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	241	10552
1	611	10324
2	1396	10302
3	3908	10298
4	5478	10294
5	6735	10294

Stop Event

1×	node limit

Counts

152 → 169

Calls

Call 1

Inputs
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
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(/.f64 (.f64 2 (+.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
(/.f64 (.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 4) 4)
(/.f64 (+.f64 (.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 4) (.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 4)) 8)
(+.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 0)
(+.f64 0 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))
(-.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 0)
(/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 2 (/.f64 (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) beta))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (pow.f64 alpha 3) beta))
(/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 beta))
(/.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 1)
(/.f64 (neg.f64 beta) (-.f64 0 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 1 (/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)) beta))
(/.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (.f64 2 (pow.f64 alpha 3)) beta))
(/.f64 (+.f64 beta beta) (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (.f64 beta (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) 2)
(/.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 2 beta))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 (pow.f64 alpha 3)) beta))
(/.f64 (.f64 beta 4) (.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 (.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 4) 4)
(/.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (+.f64 (.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 4) (.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 4)) 8)
(/.f64 (/.f64 (*.f64 beta 4) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) 4)
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) 0)
(+.f64 0 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) 0)
(.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 2 (pow.f64 alpha 3))))
(*.f64 2 (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) 2))
(*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 alpha 3)))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) 1)
(*.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (neg.f64 (pow.f64 alpha 3))))
(.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (/.f64 1/2 (pow.f64 alpha 3)))
(.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 1/2 (pow.f64 alpha 3)) 1))
(.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (/.f64 1 (pow.f64 alpha 3))))
(.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 1/2)
(.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) 4) (/.f64 1 (*.f64 (pow.f64 alpha 3) 4)))
(*.f64 (/.f64 1 (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))
(*.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (neg.f64 (pow.f64 alpha 3))))
(.f64 1/2 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))
(.f64 (/.f64 1/2 (pow.f64 alpha 3)) (.f64 2 (pow.f64 (+.f64 beta 2) 2)))

Outputs
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (.f64 2 (/.f64 1 alpha)) (-.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 beta (+.f64 (.f64 2 (/.f64 1 alpha)) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 2 (/.f64 1 alpha)) (-.f64 (.f64 beta (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (-.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (-.f64 (.f64 beta (+.f64 (.f64 2 (/.f64 1 alpha)) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (-.f64 (.f64 beta (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (-.f64 (.f64 beta (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (-.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 beta (+.f64 (.f64 2 (/.f64 1 alpha)) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 beta (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (+.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (.f64 beta (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))
(+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(+.f64 (.f64 beta (+.f64 (.f64 2 (/.f64 1 alpha)) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(+.f64 (.f64 beta (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (-.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 beta (+.f64 (.f64 2 (/.f64 1 alpha)) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 beta (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (+.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (.f64 beta (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))))
(/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -1 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))))))))
(+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(+.f64 (.f64 beta (+.f64 (.f64 2 (/.f64 1 alpha)) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(+.f64 (.f64 beta (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(-.f64 (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (.f64 -1 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))))))))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (-.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 beta (+.f64 (.f64 2 (/.f64 1 alpha)) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 beta (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (+.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2)))))) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (.f64 beta (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)))) (+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 (pow.f64 alpha 2))))) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))))
(/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))
(+.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))))
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(+.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 1)
(+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(+.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(.f64 1 (+.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(+.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(.f64 (.f64 2 (+.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 1/2)
(+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(+.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(/.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 1)
(+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(+.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(/.f64 (.f64 2 (+.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
(+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(+.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(/.f64 (.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 4) 4)
(+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(+.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(/.f64 (+.f64 (.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 4) (.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))) 4)) 8)
(+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(+.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))
(+.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 0)
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(+.f64 0 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(-.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 0)
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 2 (/.f64 (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) beta))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (pow.f64 alpha 3) beta))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 beta))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (*.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 1)
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (neg.f64 beta) (-.f64 0 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 1 (/.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)) beta))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (.f64 2 (pow.f64 alpha 3)) beta))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (+.f64 beta beta) (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (.f64 beta (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) 2)
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (/.f64 2 beta))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (neg.f64 (pow.f64 alpha 3)) beta))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (.f64 beta 4) (.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 4) 4)
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (+.f64 (.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 4) (.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 4)) 8)
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(/.f64 (/.f64 (*.f64 beta 4) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) 4)
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 beta (pow.f64 alpha 3)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) 0)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(+.f64 0 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) 0)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 2 (pow.f64 alpha 3))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(*.f64 2 (/.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) 2))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(*.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 1 (pow.f64 alpha 3)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) 1)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(*.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (neg.f64 (pow.f64 alpha 3))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (/.f64 1/2 (pow.f64 alpha 3)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 1/2 (pow.f64 alpha 3)) 1))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(.f64 (.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/2 (/.f64 1 (pow.f64 alpha 3))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) 1/2)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) 4) (/.f64 1 (*.f64 (pow.f64 alpha 3) 4)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(*.f64 (/.f64 1 (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(*.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (neg.f64 (pow.f64 alpha 3))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(.f64 1/2 (.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))
(.f64 (/.f64 1/2 (pow.f64 alpha 3)) (.f64 2 (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))

eval358.0ms (2.2%)

Compiler: Compiled 15441 to 12023 computations (22.1% saved)

prune117.0ms (0.7%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	508	8	516
Fresh	1	3	4
Picked	1	0	1
Done	1	3	4
Total	511	14	525

Error

0.0b

Counts

525 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.5b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	51.8b	(/.f64 (/.f64 2 alpha) 2)
▶	52.9b	(/.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
	52.5b	(/.f64 (-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 2 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
✓	29.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	31.0b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	14.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	32.2b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	51.8b	(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))))))) 2)
	43.8b	(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
	41.6b	(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
	50.5b	(/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))) 2)
✓	38.7b	(/.f64 2 2)
▶	29.9b	(/.f64 1 2)

Compiler

Compiled 427 to 351 computations (17.8% saved)

localize3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize5.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize10.0ms (0.1%)

Compiler: Compiled 21 to 17 computations (19% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
✓	0.4b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)

Compiler

Compiled 29 to 21 computations (27.6% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
0.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
0.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
0.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
0.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)

rewrite151.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1940×	`bool.json-1`
1940×	`bool.json-2`
1536×	`bool.json-3`
964×	`rational.json-simplify-35`
714×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	99	44
2	330	44
3	844	44
4	2345	44
5	6053	44

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) 4) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 2 (*.f64 alpha 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 alpha) (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 2 (*.f64 alpha 8)) (+.f64 2 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 2 (/.f64 2 (*.f64 alpha 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (*.f64 2 (/.f64 1 alpha)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (/.f64 2 alpha) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta 4)) (/.f64 2 (*.f64 alpha 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta 4)) (*.f64 (/.f64 1 alpha) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta 4)) (*.f64 (*.f64 (/.f64 1 alpha) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta 4)) (*.f64 (*.f64 2 (/.f64 2 (*.f64 alpha 8))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (*.f64 (*.f64 2 (/.f64 1 alpha)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (*.f64 (/.f64 2 alpha) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 4 (*.f64 beta 4))) (/.f64 1 (*.f64 alpha 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 4 (*.f64 beta 4))) (*.f64 (/.f64 1 (*.f64 alpha 8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 4 (*.f64 beta 4))) (*.f64 1/8 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 4 (*.f64 beta 4))) (*.f64 1/4 (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 4 (*.f64 beta 4))) (*.f64 (/.f64 2 (*.f64 alpha 8)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 4 (*.f64 beta 4))) (*.f64 1/2 (/.f64 2 (*.f64 alpha 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 alpha) (+.f64 2 (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 1 (*.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 -1 (+.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (*.f64 (/.f64 1 (*.f64 alpha -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (*.f64 (/.f64 -1 (+.f64 alpha alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (*.f64 (/.f64 -1 alpha) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) -1/2) (/.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) -1/2) (*.f64 (/.f64 -1 alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 (+.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 (+.f64 alpha alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 (+.f64 2 (+.f64 beta beta)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (+.f64 2 (+.f64 beta beta)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 1/2 (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 alpha 8)) (+.f64 4 (*.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 alpha) 1/4) (+.f64 4 (*.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 (+.f64 alpha alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 alpha) (*.f64 (+.f64 2 (+.f64 beta beta)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) 4) (*.f64 2 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 alpha 8)) (*.f64 2 (+.f64 4 (*.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 alpha -2)) (neg.f64 (+.f64 2 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 alpha alpha)) (neg.f64 (+.f64 2 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (*.f64 alpha 8)) (/.f64 2 (*.f64 alpha 8))) (+.f64 2 (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 (+.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (*.f64 2 (/.f64 1 alpha)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 (/.f64 2 alpha) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 1/2 (*.f64 2 (/.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta 4)) (/.f64 1/2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta 4)) (*.f64 2 (/.f64 2 (*.f64 alpha 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta 4)) (+.f64 (/.f64 2 (*.f64 alpha 8)) (/.f64 2 (*.f64 alpha 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta 4)) (*.f64 (*.f64 (/.f64 1 alpha) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta 4)) (*.f64 (*.f64 2 (/.f64 2 (*.f64 alpha 8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta 4)) (*.f64 1/4 (*.f64 2 (/.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta 4)) (+.f64 (/.f64 2 (*.f64 alpha 8)) (*.f64 (/.f64 1 alpha) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (*.f64 2 (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (*.f64 (/.f64 2 alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 4 (*.f64 beta 4))) (/.f64 2 (*.f64 alpha 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 4 (*.f64 beta 4))) (*.f64 (/.f64 1 alpha) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 4 (*.f64 beta 4))) (*.f64 (/.f64 1 (*.f64 alpha 8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 4 (*.f64 beta 4))) (*.f64 1/8 (*.f64 2 (/.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 alpha) (+.f64 4 (*.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (*.f64 (/.f64 1 (*.f64 alpha -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (*.f64 (/.f64 -1 (+.f64 alpha alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (*.f64 (/.f64 -1 alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) -1/2) (*.f64 (/.f64 -1 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 (+.f64 alpha alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 alpha 8)) (*.f64 2 (+.f64 4 (*.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (*.f64 alpha 8))) (+.f64 4 (*.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 alpha) (neg.f64 (+.f64 2 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (*.f64 alpha 8)) (/.f64 2 (*.f64 alpha 8))) (+.f64 4 (*.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))))

simplify189.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1184×	`rational.json-simplify-51`
1182×	`rational.json-simplify-35`
1078×	`rational.json-simplify-2`
970×	`rational.json-simplify-50`
888×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	225	3673
1	462	3613
2	869	3613
3	1428	3613
4	2702	3613
5	5197	3613
6	6407	3613
7	7580	3613

Stop Event

1×	node limit

Counts

157 → 140

Calls

Call 1

Inputs
(/.f64 1 alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(/.f64 2 alpha)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) 0)
(+.f64 0 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))
(-.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) 0)
(.f64 2 (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha 4)))
(*.f64 2 (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 4))
(.f64 2 (.f64 (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 4) 1))
(.f64 2 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha 4)) 1))
(.f64 2 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) 4) (/.f64 1 alpha)))
(.f64 2 (.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (/.f64 1/2 alpha)))
(.f64 2 (.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) 1/2))
(.f64 2 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1/4))
(.f64 2 (.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 2 (*.f64 alpha 8))))
(.f64 2 (.f64 (/.f64 1/2 alpha) (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2)))
(.f64 2 (.f64 (/.f64 2 (*.f64 alpha 8)) (+.f64 2 (+.f64 beta beta))))
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha))
(.f64 (+.f64 2 (+.f64 beta beta)) (.f64 2 (/.f64 2 (*.f64 alpha 8))))
(.f64 (+.f64 2 (+.f64 beta beta)) (.f64 (*.f64 2 (/.f64 1 alpha)) 1/4))
(.f64 (+.f64 2 (+.f64 beta beta)) (.f64 (/.f64 2 alpha) 1/4))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1/2)
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) 1)
(.f64 1 (.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))
(.f64 (/.f64 (+.f64 4 (.f64 beta 4)) alpha) 1/4)
(.f64 (+.f64 4 (.f64 beta 4)) (/.f64 2 (*.f64 alpha 8)))
(.f64 (+.f64 4 (.f64 beta 4)) (*.f64 (/.f64 1 alpha) 1/4))
(.f64 (+.f64 4 (.f64 beta 4)) (.f64 (.f64 (/.f64 1 alpha) 1/4) 1))
(.f64 (+.f64 4 (.f64 beta 4)) (.f64 (.f64 2 (/.f64 2 (*.f64 alpha 8))) 1/2))
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (/.f64 1 alpha))
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (.f64 (.f64 2 (/.f64 1 alpha)) 1/2))
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (*.f64 (/.f64 2 alpha) 1/2))
(.f64 (.f64 2 (+.f64 4 (.f64 beta 4))) (/.f64 1 (.f64 alpha 8)))
(.f64 (.f64 2 (+.f64 4 (.f64 beta 4))) (.f64 (/.f64 1 (*.f64 alpha 8)) 1))
(.f64 (.f64 2 (+.f64 4 (.f64 beta 4))) (.f64 1/8 (/.f64 1 alpha)))
(.f64 (.f64 2 (+.f64 4 (.f64 beta 4))) (.f64 1/4 (/.f64 1/2 alpha)))
(.f64 (.f64 2 (+.f64 4 (.f64 beta 4))) (.f64 (/.f64 2 (*.f64 alpha 8)) 1/2))
(.f64 (.f64 2 (+.f64 4 (.f64 beta 4))) (.f64 1/2 (/.f64 2 (*.f64 alpha 8))))
(.f64 (.f64 2 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha)) 1/8)
(.f64 (/.f64 1 alpha) (.f64 (+.f64 2 (+.f64 beta beta)) 1/2))
(*.f64 (/.f64 1/2 alpha) (+.f64 2 (+.f64 beta beta)))
(*.f64 1/2 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 1 (.f64 alpha -2)))
(*.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 -1 (+.f64 alpha alpha)))
(.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (.f64 (/.f64 1 (*.f64 alpha -2)) 1))
(.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (.f64 (/.f64 -1 (+.f64 alpha alpha)) 1))
(.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (.f64 (/.f64 -1 alpha) 1/2))
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) -1/2) (/.f64 -1 alpha))
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) -1/2) (*.f64 (/.f64 -1 alpha) 1))
(*.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 (+.f64 alpha alpha))))
(.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha -2)))
(.f64 -1 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha -2)) 1))
(.f64 -1 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 (+.f64 alpha alpha))) 1))
(.f64 -1 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)) 1/2))
(.f64 (.f64 2 (/.f64 1 alpha)) (/.f64 (+.f64 2 (+.f64 beta beta)) 4))
(.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) 4) 1))
(.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 1/2) 1/2))
(.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 (+.f64 2 (+.f64 beta beta)) 1/4))
(.f64 (.f64 2 (/.f64 1 alpha)) (.f64 1/2 (.f64 (+.f64 2 (+.f64 beta beta)) 1/2)))
(.f64 1/4 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 2 (.f64 alpha 8)) (+.f64 4 (*.f64 beta 4)))
(.f64 (.f64 (/.f64 1 alpha) 1/4) (+.f64 4 (*.f64 beta 4)))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 (+.f64 alpha alpha))) -1)
(.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha -2)) -1)
(.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha 4)) 2)
(.f64 (/.f64 -1 alpha) (.f64 (+.f64 2 (+.f64 beta beta)) -1/2))
(.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) 4) (.f64 2 (/.f64 1 alpha)))
(.f64 (/.f64 1 (.f64 alpha 8)) (.f64 2 (+.f64 4 (.f64 beta 4))))
(*.f64 (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 4) 2)
(.f64 1/8 (.f64 2 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha)))
(.f64 (/.f64 1 (.f64 alpha -2)) (neg.f64 (+.f64 2 (+.f64 beta beta))))
(*.f64 (/.f64 -1 (+.f64 alpha alpha)) (neg.f64 (+.f64 2 (+.f64 beta beta))))
(.f64 (+.f64 (/.f64 2 (.f64 alpha 8)) (/.f64 2 (*.f64 alpha 8))) (+.f64 2 (+.f64 beta beta)))
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 (+.f64 alpha alpha))))
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha -2)))
(+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 0)
(+.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) (.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))
(+.f64 0 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(-.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 0)
(.f64 2 (.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1 alpha))
(.f64 (+.f64 2 (+.f64 beta beta)) (.f64 (*.f64 2 (/.f64 1 alpha)) 1/2))
(.f64 (+.f64 2 (+.f64 beta beta)) (.f64 (/.f64 2 alpha) 1/2))
(.f64 (+.f64 2 (+.f64 beta beta)) (.f64 1/2 (*.f64 2 (/.f64 1 alpha))))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) 2)
(*.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(.f64 (/.f64 (+.f64 4 (.f64 beta 4)) alpha) 1/2)
(.f64 (+.f64 4 (.f64 beta 4)) (/.f64 1/2 alpha))
(.f64 (+.f64 4 (.f64 beta 4)) (.f64 2 (/.f64 2 (.f64 alpha 8))))
(.f64 (+.f64 4 (.f64 beta 4)) (+.f64 (/.f64 2 (.f64 alpha 8)) (/.f64 2 (.f64 alpha 8))))
(.f64 (+.f64 4 (.f64 beta 4)) (.f64 (.f64 (/.f64 1 alpha) 1/4) 2))
(.f64 (+.f64 4 (.f64 beta 4)) (.f64 (.f64 2 (/.f64 2 (*.f64 alpha 8))) 1))
(.f64 (+.f64 4 (.f64 beta 4)) (.f64 1/4 (.f64 2 (/.f64 1 alpha))))
(.f64 (+.f64 4 (.f64 beta 4)) (+.f64 (/.f64 2 (.f64 alpha 8)) (.f64 (/.f64 1 alpha) 1/4)))
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (*.f64 2 (/.f64 1 alpha)))
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (/.f64 2 alpha))
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (*.f64 (/.f64 2 alpha) 1))
(.f64 (.f64 2 (+.f64 4 (.f64 beta 4))) (/.f64 2 (.f64 alpha 8)))
(.f64 (.f64 2 (+.f64 4 (.f64 beta 4))) (.f64 (/.f64 1 alpha) 1/4))
(.f64 (.f64 2 (+.f64 4 (.f64 beta 4))) (.f64 (/.f64 1 (*.f64 alpha 8)) 2))
(.f64 (.f64 2 (+.f64 4 (.f64 beta 4))) (.f64 1/8 (*.f64 2 (/.f64 1 alpha))))
(.f64 (.f64 2 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha)) 1/4)
(*.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta)))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(*.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 -1 alpha))
(.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (.f64 (/.f64 1 (*.f64 alpha -2)) 2))
(.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (.f64 (/.f64 -1 (+.f64 alpha alpha)) 2))
(.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (.f64 (/.f64 -1 alpha) 1))
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) -1/2) (*.f64 (/.f64 -1 alpha) 2))
(*.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)))
(.f64 -1 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha -2)) 2))
(.f64 -1 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 (+.f64 alpha alpha))) 2))
(.f64 -1 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)) 1))
(.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2))
(.f64 1/4 (.f64 2 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha)))
(.f64 (/.f64 2 (.f64 alpha 8)) (.f64 2 (+.f64 4 (.f64 beta 4))))
(.f64 (.f64 2 (/.f64 2 (.f64 alpha 8))) (+.f64 4 (.f64 beta 4)))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)) -1)
(.f64 (/.f64 2 alpha) (.f64 (+.f64 2 (+.f64 beta beta)) 1/2))
(*.f64 (/.f64 -1 alpha) (neg.f64 (+.f64 2 (+.f64 beta beta))))
(.f64 (+.f64 (/.f64 2 (.f64 alpha 8)) (/.f64 2 (.f64 alpha 8))) (+.f64 4 (.f64 beta 4)))
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)))

Outputs
(/.f64 1 alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 2 beta)) alpha))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 beta 2)) alpha))
(/.f64 2 alpha)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 (/.f64 beta alpha) 2) (.f64 (/.f64 1 alpha) 2))
(*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 2)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 (/.f64 beta alpha) 2) (.f64 (/.f64 1 alpha) 2))
(*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 2)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 (/.f64 beta alpha) 2) (.f64 (/.f64 1 alpha) 2))
(*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 2)
(*.f64 2 (/.f64 beta alpha))
(*.f64 (/.f64 beta alpha) 2)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 (/.f64 beta alpha) 2) (.f64 (/.f64 1 alpha) 2))
(*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 2)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 (/.f64 beta alpha) 2) (.f64 (/.f64 1 alpha) 2))
(*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 2)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 (/.f64 beta alpha) 2) (.f64 (/.f64 1 alpha) 2))
(*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 2)
(*.f64 2 (/.f64 beta alpha))
(*.f64 (/.f64 beta alpha) 2)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 (/.f64 beta alpha) 2) (.f64 (/.f64 1 alpha) 2))
(*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 2)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 (/.f64 beta alpha) 2) (.f64 (/.f64 1 alpha) 2))
(*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 2)
(+.f64 (.f64 2 (/.f64 beta alpha)) (.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 (/.f64 beta alpha) 2) (.f64 (/.f64 1 alpha) 2))
(*.f64 2 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)))
(*.f64 (+.f64 (/.f64 1 alpha) (/.f64 beta alpha)) 2)
(+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) 0)
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(/.f64 1/2 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(+.f64 0 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)))
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(/.f64 1/2 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(-.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) 0)
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(/.f64 1/2 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(.f64 2 (/.f64 (+.f64 2 (+.f64 beta beta)) (.f64 alpha 4)))
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(/.f64 1/2 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(*.f64 2 (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 4))
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(/.f64 1/2 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(.f64 2 (.f64 (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 4) 1))
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(/.f64 1/2 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(.f64 2 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha 4)) 1))
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(/.f64 1/2 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(.f64 2 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) 4) (/.f64 1 alpha)))
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(/.f64 1/2 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(.f64 2 (.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2) (/.f64 1/2 alpha)))
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(/.f64 1/2 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(.f64 2 (.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1/2 alpha)) 1/2))
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(/.f64 1/2 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(.f64 2 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1/4))
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(/.f64 1/2 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(.f64 2 (.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 2 (*.f64 alpha 8))))
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(/.f64 1/2 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(.f64 2 (.f64 (/.f64 1/2 alpha) (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2)))
(*.f64 (+.f64 beta (+.f64 beta 2)) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha))
(/.f64 1/2 (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(.f64 2 (.f64 (/.f64 2 (*.f64 alpha 8)) (+.f64 2 (+.f64 beta beta))))
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(.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (.f64 (/.f64 1 (*.f64 alpha -2)) 2))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (.f64 (/.f64 -1 (+.f64 alpha alpha)) 2))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 (neg.f64 (+.f64 2 (+.f64 beta beta))) (.f64 (/.f64 -1 alpha) 1))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 (.f64 (+.f64 2 (+.f64 beta beta)) -1/2) (*.f64 (/.f64 -1 alpha) 2))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(*.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 -1 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha -2)) 2))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 -1 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 (+.f64 alpha alpha))) 2))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 -1 (.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)) 1))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 (.f64 2 (/.f64 1 alpha)) (*.f64 (+.f64 2 (+.f64 beta beta)) 1/2))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 1/4 (.f64 2 (/.f64 (+.f64 4 (*.f64 beta 4)) alpha)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 (/.f64 2 (.f64 alpha 8)) (.f64 2 (+.f64 4 (.f64 beta 4))))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(.f64 (.f64 2 (/.f64 2 (.f64 alpha 8))) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)) -1)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 (/.f64 2 alpha) (.f64 (+.f64 2 (+.f64 beta beta)) 1/2))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(*.f64 (/.f64 -1 alpha) (neg.f64 (+.f64 2 (+.f64 beta beta))))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)
(.f64 (+.f64 (/.f64 2 (.f64 alpha 8)) (/.f64 2 (.f64 alpha 8))) (+.f64 4 (.f64 beta 4)))
(.f64 1/2 (/.f64 (+.f64 4 (.f64 beta 4)) alpha))
(.f64 (/.f64 1/2 alpha) (+.f64 4 (.f64 beta 4)))
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (+.f64 beta beta)) alpha)

localize55.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 2 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
✓	0.3b	(/.f64 1 (pow.f64 alpha 2))

Compiler

Compiled 48 to 39 computations (18.8% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(/.f64 1 (pow.f64 alpha 2))
0.0ms	alpha	@	0	(-.f64 (/.f64 2 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
0.0ms	alpha	@	-inf	(-.f64 (/.f64 2 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
0.0ms	alpha	@	inf	(-.f64 (/.f64 2 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
0.0ms	alpha	@	inf	(/.f64 1 (pow.f64 alpha 2))

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`bool.json-1`
1324×	`bool.json-2`
1280×	`rational.json-1`
1280×	`rational.json-2`
1280×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	118	44
2	336	44
3	726	44
4	1584	44
5	4043	44

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (/.f64 2 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (pow.f64 alpha 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (pow.f64 alpha 2)) (/.f64 1/2 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (pow.f64 alpha 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha 2) (/.f64 1 (*.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1 (pow.f64 alpha 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 2 (pow.f64 alpha 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (pow.f64 alpha 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 alpha 2)) (/.f64 1 (*.f64 2 (*.f64 (pow.f64 alpha 2) (pow.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 alpha 2)) (/.f64 1/2 (*.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 (/.f64 1 (pow.f64 alpha 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 alpha 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (/.f64 2 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))) (pow.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 alpha 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 alpha 2) 1/2) (/.f64 2 (*.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 alpha 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (pow.f64 alpha 2) (pow.f64 alpha 2)))) (*.f64 2 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (pow.f64 alpha 2) (pow.f64 alpha 2))) (*.f64 2 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 alpha 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 alpha 2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (pow.f64 alpha 2)) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))))))

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

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational.json-simplify-59`
1126×	`rational.json-simplify-2`
1118×	`rational.json-simplify-19`
946×	`rational.json-simplify-44`
910×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	112	1927
1	222	1895
2	488	1895
3	1204	1895
4	3828	1895
5	7209	1895

Stop Event

1×	node limit

Counts

71 → 68

Calls

Call 1

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

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

eval59.0ms (0.4%)

Compiler: Compiled 2860 to 2205 computations (22.9% saved)

prune43.0ms (0.3%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	205	3	208
Fresh	0	6	6
Picked	0	1	1
Done	2	5	7
Total	207	15	222

Error

0.0b

Counts

222 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	52.9b	(/.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
	52.5b	(/.f64 (-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 2 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
✓	29.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	31.0b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	14.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	32.2b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	51.8b	(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))))))) 2)
	43.8b	(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
▶	41.6b	(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
▶	50.5b	(/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))) 2)
	58.1b	(/.f64 beta alpha)
✓	38.7b	(/.f64 2 2)
▶	51.8b	(/.f64 1 alpha)
✓	29.9b	(/.f64 1 2)
▶	48.5b	(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))

Compiler

Compiled 400 to 321 computations (19.8% saved)

localize8.0ms (0.1%)

Compiler: Compiled 21 to 17 computations (19% saved)

localize7.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`rational.json-simplify-50`
652×	`rational.json-simplify-1`
644×	`rational.json-simplify-35`
574×	`rational.json-simplify-61`
564×	`bool.json-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	91	19
2	290	19
3	652	19
4	1630	13
5	5840	13

Stop Event

1×	node limit

Counts

1 → 90

Calls

Call 1

Inputs
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))

Outputs

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

simplify127.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1572×	`rational.json-simplify-53`
948×	`rational.json-simplify-35`
920×	`rational.json-simplify-2`
768×	`rational.json-simplify-50`
684×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	3045
1	900	1953
2	3094	1941
3	4960	1941
4	7672	1941

Stop Event

1×	node limit

Counts

105 → 112

Calls

Call 1

Inputs
(/.f64 1 alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(-.f64 (/.f64 (+.f64 beta 1) alpha) 0)
(*.f64 1 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 1 alpha) (+.f64 beta 1))
(*.f64 (/.f64 (+.f64 beta 1) alpha) 1)
(.f64 2 (.f64 (/.f64 (+.f64 beta 1) alpha) 1/2))
(.f64 2 (.f64 (/.f64 1/2 alpha) (+.f64 beta 1)))
(.f64 (.f64 (+.f64 beta 1) (/.f64 2 alpha)) 1/2)
(*.f64 4 (/.f64 (/.f64 (+.f64 beta 1) alpha) 4))
(.f64 (/.f64 2 alpha) (.f64 1/2 (+.f64 beta 1)))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 beta 1) (.f64 alpha (/.f64 alpha beta))))
(.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 1 (.f64 alpha (/.f64 alpha beta))))
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 beta 1) (/.f64 2 alpha)))
(.f64 1/2 (+.f64 (.f64 beta (/.f64 2 alpha)) (/.f64 2 alpha)))
(*.f64 (/.f64 1/2 alpha) (+.f64 (+.f64 beta beta) 2))
(*.f64 (+.f64 beta 1) (/.f64 1 alpha))
(.f64 (.f64 2 (+.f64 beta 1)) (/.f64 1/2 alpha))
(.f64 (.f64 (/.f64 (+.f64 beta 1) alpha) 1/2) 2)
(*.f64 (+.f64 1 (/.f64 1 beta)) (/.f64 beta alpha))
(.f64 (+.f64 1 (/.f64 1 beta)) (/.f64 alpha (.f64 alpha (/.f64 alpha beta))))
(/.f64 beta (/.f64 alpha (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 alpha (/.f64 alpha beta))))
(/.f64 (/.f64 beta alpha) (/.f64 1 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 1 (/.f64 (*.f64 alpha (/.f64 alpha beta)) (+.f64 alpha (/.f64 alpha beta))))
(/.f64 1 (/.f64 alpha (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha))))
(/.f64 1 (/.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 (/.f64 1 alpha) (/.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) 1)
(/.f64 (+.f64 beta beta) (/.f64 (+.f64 alpha alpha) (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 2 (/.f64 (+.f64 alpha alpha) (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha))))
(/.f64 2 (/.f64 (*.f64 alpha (/.f64 2 beta)) (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 2 alpha)) 2)
(/.f64 (*.f64 beta (/.f64 2 alpha)) (/.f64 2 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 (.f64 beta 4) (/.f64 (.f64 alpha 4) (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 4 (/.f64 (.f64 alpha 4) (.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha))))
(/.f64 4 (/.f64 (*.f64 4 (/.f64 alpha beta)) (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 (neg.f64 beta) (/.f64 alpha (neg.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha))))
(/.f64 -1 (/.f64 (/.f64 alpha beta) (neg.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha))))
(/.f64 (+.f64 alpha (/.f64 alpha beta)) (*.f64 alpha (/.f64 alpha beta)))
(/.f64 8 (/.f64 (.f64 alpha 8) (.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 4) 4)
(/.f64 (/.f64 4 (/.f64 alpha beta)) (/.f64 4 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 (.f64 beta 8) (/.f64 (.f64 alpha 8) (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 1/2 (/.f64 (*.f64 (/.f64 alpha beta) 1/2) (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 (/.f64 1/2 alpha) (/.f64 (/.f64 1/2 beta) (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 (.f64 beta -2) (/.f64 (.f64 alpha -2) (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 (*.f64 beta -2) (/.f64 (+.f64 alpha alpha) (neg.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha))))
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (.f64 2 (+.f64 alpha (/.f64 alpha beta))) (.f64 2 (*.f64 alpha (/.f64 alpha beta))))
(/.f64 (.f64 2 (+.f64 alpha (/.f64 alpha beta))) (.f64 (.f64 2 (.f64 alpha (/.f64 alpha beta))) 1))
(/.f64 (.f64 2 (.f64 (/.f64 (+.f64 beta 1) alpha) 4)) 8)
(/.f64 (/.f64 beta (neg.f64 alpha)) (/.f64 -1 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)))
(/.f64 (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)) alpha)
(/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) (/.f64 alpha beta))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) alpha) 1/2) 1/2)
(/.f64 (.f64 2 (.f64 2 (+.f64 alpha (/.f64 alpha beta)))) (.f64 2 (.f64 2 (*.f64 alpha (/.f64 alpha beta)))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 (+.f64 beta 1) alpha) 4))) 16)
(/.f64 (.f64 2 (.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha))) (+.f64 alpha alpha))
(/.f64 (.f64 2 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)) (.f64 alpha (/.f64 2 beta)))
(/.f64 (/.f64 (.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)) 2) (.f64 alpha 1/2))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) 2) (*.f64 (/.f64 alpha beta) 1/2))
(/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) (+.f64 alpha alpha)) (*.f64 (/.f64 alpha beta) 1/2))
(/.f64 (/.f64 (.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)) (.f64 alpha 4)) 1/4)
(/.f64 (/.f64 (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)) 1/2) (+.f64 alpha alpha))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) alpha) (/.f64 1 beta))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) (+.f64 alpha alpha)) (/.f64 1/2 beta))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) (neg.f64 alpha)) (/.f64 -1 beta))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) 1/2) (*.f64 alpha (/.f64 2 beta)))
(/.f64 (neg.f64 (+.f64 alpha (/.f64 alpha beta))) (neg.f64 (*.f64 alpha (/.f64 alpha beta))))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha))) (neg.f64 alpha))
(/.f64 (neg.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)) (neg.f64 (/.f64 alpha beta)))
(/.f64 (+.f64 (.f64 (/.f64 beta alpha) (.f64 alpha (/.f64 (/.f64 alpha beta) beta))) alpha) (.f64 (.f64 (/.f64 beta alpha) (*.f64 alpha (/.f64 (/.f64 alpha beta) beta))) alpha))
(/.f64 (+.f64 (.f64 (/.f64 1/2 (/.f64 alpha beta)) (.f64 2 (.f64 alpha (/.f64 (/.f64 alpha beta) beta)))) alpha) (.f64 (.f64 (/.f64 1/2 (/.f64 alpha beta)) (.f64 2 (*.f64 alpha (/.f64 (/.f64 alpha beta) beta)))) alpha))
(/.f64 (+.f64 alpha (.f64 (/.f64 beta alpha) (.f64 alpha (/.f64 (/.f64 alpha beta) beta)))) (.f64 alpha (.f64 (/.f64 beta alpha) (*.f64 alpha (/.f64 (/.f64 alpha beta) beta)))))
(/.f64 (+.f64 alpha (.f64 (/.f64 1/2 (/.f64 alpha beta)) (.f64 2 (.f64 alpha (/.f64 (/.f64 alpha beta) beta))))) (.f64 alpha (.f64 (/.f64 1/2 (/.f64 alpha beta)) (.f64 2 (*.f64 alpha (/.f64 (/.f64 alpha beta) beta))))))
(/.f64 (neg.f64 (.f64 2 (+.f64 alpha (/.f64 alpha beta)))) (-.f64 0 (.f64 2 (*.f64 alpha (/.f64 alpha beta)))))
(/.f64 (neg.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) (+.f64 alpha alpha))) (-.f64 0 (*.f64 (/.f64 alpha beta) 1/2)))
(/.f64 (neg.f64 (neg.f64 (+.f64 alpha (/.f64 alpha beta)))) (*.f64 alpha (/.f64 alpha beta)))
(/.f64 (neg.f64 (+.f64 beta 1)) (neg.f64 alpha))
(/.f64 (neg.f64 (.f64 2 (.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)))) (neg.f64 (+.f64 alpha alpha)))
(/.f64 (neg.f64 (.f64 2 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha))) (neg.f64 (.f64 alpha (/.f64 2 beta))))
(/.f64 (neg.f64 (/.f64 (.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)) 2)) (-.f64 0 (.f64 alpha 1/2)))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) 2)) (-.f64 0 (*.f64 (/.f64 alpha beta) 1/2)))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)) 1/2)) (neg.f64 (+.f64 alpha alpha)))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) alpha)) (/.f64 -1 beta))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) (+.f64 alpha alpha))) (neg.f64 (/.f64 1/2 beta)))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) (neg.f64 alpha))) (-.f64 0 (/.f64 -1 beta)))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) 1/2)) (neg.f64 (*.f64 alpha (/.f64 2 beta))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)))) alpha)
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha))) (/.f64 alpha beta))

Outputs
(/.f64 1 alpha)
(/.f64 beta alpha)
(/.f64 beta alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 1 beta) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(/.f64 (+.f64 1 beta) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(/.f64 (+.f64 1 beta) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(/.f64 (+.f64 1 beta) alpha)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(/.f64 (+.f64 1 beta) alpha)
(-.f64 (/.f64 (+.f64 beta 1) alpha) 0)
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 beta 1))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (+.f64 beta 1) alpha) 1)
(/.f64 (+.f64 1 beta) alpha)
(.f64 2 (.f64 (/.f64 (+.f64 beta 1) alpha) 1/2))
(/.f64 (+.f64 1 beta) alpha)
(.f64 2 (.f64 (/.f64 1/2 alpha) (+.f64 beta 1)))
(/.f64 (+.f64 1 beta) alpha)
(.f64 (.f64 (+.f64 beta 1) (/.f64 2 alpha)) 1/2)
(.f64 (+.f64 1 beta) (.f64 (/.f64 2 alpha) 1/2))
(.f64 (/.f64 2 alpha) (.f64 (+.f64 1 beta) 1/2))
(.f64 (+.f64 1 beta) (.f64 1/2 (/.f64 2 alpha)))
(*.f64 4 (/.f64 (/.f64 (+.f64 beta 1) alpha) 4))
(/.f64 (+.f64 1 beta) alpha)
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(/.f64 (+.f64 1 beta) alpha)
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(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
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(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 (+.f64 beta 1) alpha) 4))) 16)
(/.f64 (+.f64 1 beta) alpha)
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(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
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(/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) (+.f64 alpha alpha)) (*.f64 (/.f64 alpha beta) 1/2))
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(/.f64 (/.f64 (.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)) (.f64 alpha 4)) 1/4)
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (/.f64 (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)) 1/2) (+.f64 alpha alpha))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
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(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) alpha) (/.f64 1 beta))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
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(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) (+.f64 alpha alpha)) (/.f64 1/2 beta))
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(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) (neg.f64 alpha)) (/.f64 -1 beta))
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(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) 1/2) (*.f64 alpha (/.f64 2 beta)))
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(/.f64 (neg.f64 (+.f64 alpha (/.f64 alpha beta))) (neg.f64 (*.f64 alpha (/.f64 alpha beta))))
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(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha))) (neg.f64 alpha))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
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(/.f64 (neg.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha)) (neg.f64 (/.f64 alpha beta)))
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(/.f64 (+.f64 (.f64 (/.f64 beta alpha) (.f64 alpha (/.f64 (/.f64 alpha beta) beta))) alpha) (.f64 (.f64 (/.f64 beta alpha) (*.f64 alpha (/.f64 (/.f64 alpha beta) beta))) alpha))
(+.f64 (/.f64 1 alpha) (/.f64 1 (.f64 alpha (.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 beta alpha)))))
(+.f64 (/.f64 1 alpha) (/.f64 1 (.f64 (/.f64 beta alpha) (.f64 alpha (/.f64 (/.f64 alpha beta) beta)))))
(+.f64 (/.f64 1 alpha) (/.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (/.f64 alpha beta) beta))))
(+.f64 (/.f64 1 alpha) (/.f64 (/.f64 alpha beta) (.f64 alpha (/.f64 alpha (.f64 beta beta)))))
(/.f64 (+.f64 (.f64 (/.f64 1/2 (/.f64 alpha beta)) (.f64 2 (.f64 alpha (/.f64 (/.f64 alpha beta) beta)))) alpha) (.f64 (.f64 (/.f64 1/2 (/.f64 alpha beta)) (.f64 2 (*.f64 alpha (/.f64 (/.f64 alpha beta) beta)))) alpha))
(+.f64 (/.f64 1 alpha) (/.f64 1 (.f64 2 (.f64 (.f64 alpha (/.f64 alpha (.f64 beta beta))) (/.f64 beta (/.f64 alpha 1/2))))))
(+.f64 (/.f64 1 alpha) (/.f64 1/2 (.f64 (.f64 alpha (/.f64 (/.f64 alpha beta) beta)) (/.f64 1/2 (/.f64 alpha beta)))))
(+.f64 (/.f64 1 alpha) (/.f64 1/2 (.f64 alpha (.f64 (/.f64 (/.f64 alpha beta) beta) (/.f64 1/2 (/.f64 alpha beta))))))
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(/.f64 (+.f64 alpha (.f64 (/.f64 beta alpha) (.f64 alpha (/.f64 (/.f64 alpha beta) beta)))) (.f64 alpha (.f64 (/.f64 beta alpha) (*.f64 alpha (/.f64 (/.f64 alpha beta) beta)))))
(+.f64 (/.f64 1 alpha) (/.f64 1 (.f64 alpha (.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 beta alpha)))))
(+.f64 (/.f64 1 alpha) (/.f64 1 (.f64 (/.f64 beta alpha) (.f64 alpha (/.f64 (/.f64 alpha beta) beta)))))
(+.f64 (/.f64 1 alpha) (/.f64 (/.f64 alpha beta) (*.f64 alpha (/.f64 (/.f64 alpha beta) beta))))
(+.f64 (/.f64 1 alpha) (/.f64 (/.f64 alpha beta) (.f64 alpha (/.f64 alpha (.f64 beta beta)))))
(/.f64 (+.f64 alpha (.f64 (/.f64 1/2 (/.f64 alpha beta)) (.f64 2 (.f64 alpha (/.f64 (/.f64 alpha beta) beta))))) (.f64 alpha (.f64 (/.f64 1/2 (/.f64 alpha beta)) (.f64 2 (*.f64 alpha (/.f64 (/.f64 alpha beta) beta))))))
(+.f64 (/.f64 1 alpha) (/.f64 1 (.f64 2 (.f64 (.f64 alpha (/.f64 alpha (.f64 beta beta))) (/.f64 beta (/.f64 alpha 1/2))))))
(+.f64 (/.f64 1 alpha) (/.f64 1/2 (.f64 (.f64 alpha (/.f64 (/.f64 alpha beta) beta)) (/.f64 1/2 (/.f64 alpha beta)))))
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(/.f64 (neg.f64 (.f64 2 (+.f64 alpha (/.f64 alpha beta)))) (-.f64 0 (.f64 2 (*.f64 alpha (/.f64 alpha beta)))))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
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(/.f64 (neg.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) (+.f64 alpha alpha))) (-.f64 0 (*.f64 (/.f64 alpha beta) 1/2)))
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(/.f64 (neg.f64 (neg.f64 (+.f64 alpha (/.f64 alpha beta)))) (*.f64 alpha (/.f64 alpha beta)))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
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(/.f64 (neg.f64 (+.f64 beta 1)) (neg.f64 alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (neg.f64 (.f64 2 (.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)))) (neg.f64 (+.f64 alpha alpha)))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
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(/.f64 (neg.f64 (.f64 2 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha))) (neg.f64 (.f64 alpha (/.f64 2 beta))))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (neg.f64 (/.f64 (.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)) 2)) (-.f64 0 (.f64 alpha 1/2)))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) 2)) (-.f64 0 (*.f64 (/.f64 alpha beta) 1/2)))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)) 1/2)) (neg.f64 (+.f64 alpha alpha)))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) alpha)) (/.f64 -1 beta))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
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(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) (+.f64 alpha alpha))) (neg.f64 (/.f64 1/2 beta)))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) (neg.f64 alpha))) (-.f64 0 (/.f64 -1 beta)))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) 1/2)) (neg.f64 (*.f64 alpha (/.f64 2 beta))))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)))) alpha)
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha))) (/.f64 alpha beta))
(.f64 (/.f64 alpha beta) (/.f64 (+.f64 1 beta) (.f64 alpha (/.f64 alpha beta))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (/.f64 alpha beta))

Compiler

Compiled 37 to 21 computations (43.2% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	alpha	@	0	(*.f64 2 (/.f64 alpha beta))
0.0ms	beta	@	0	(*.f64 2 (/.f64 alpha beta))
0.0ms	beta	@	inf	(*.f64 2 (/.f64 alpha beta))
0.0ms	alpha	@	inf	(*.f64 2 (/.f64 alpha beta))
0.0ms	alpha	@	-inf	(*.f64 2 (/.f64 alpha beta))

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1732×	`bool.json-1`
1732×	`bool.json-2`
1692×	`rational.json-1`
1692×	`rational.json-2`
1478×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	72	13
2	222	13
3	522	13
4	1320	13
5	4744	13

Stop Event

1×	node limit

Counts

1 → 123

Calls

Call 1

Inputs
(*.f64 2 (/.f64 alpha beta))

Outputs

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

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1460×	`rational.json-simplify-35`
1114×	`rational.json-simplify-2`
690×	`rational.json-simplify-61`
642×	`rational.json-simplify-44`
626×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	2403
1	1129	1689
2	4520	1677
3	7551	1677

Stop Event

1×	node limit

Counts

123 → 127

Calls

Call 1

Inputs
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 alpha beta)) 0)
(+.f64 0 (*.f64 2 (/.f64 alpha beta)))
(-.f64 (*.f64 2 (/.f64 alpha beta)) 0)
(/.f64 2 (/.f64 beta alpha))
(/.f64 2 (+.f64 (/.f64 (.f64 beta 1/2) alpha) (/.f64 (.f64 beta 1/2) alpha)))
(/.f64 2 (.f64 (/.f64 alpha beta) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(/.f64 2 (/.f64 (/.f64 beta (.f64 alpha 1/2)) (.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 alpha beta)))))
(/.f64 alpha (*.f64 beta 1/2))
(/.f64 alpha (/.f64 beta (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(/.f64 (/.f64 alpha beta) 1/2)
(/.f64 (/.f64 alpha beta) (/.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha 1/2))))
(/.f64 (/.f64 alpha beta) (/.f64 1 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(/.f64 (*.f64 2 (/.f64 alpha beta)) 1)
(/.f64 (.f64 2 (/.f64 alpha beta)) (.f64 (.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(/.f64 (.f64 2 (/.f64 alpha beta)) (/.f64 2 (.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 alpha beta)))))
(/.f64 1 (/.f64 (*.f64 beta 1/2) alpha))
(/.f64 1 (.f64 (/.f64 (.f64 beta 1/2) alpha) 1))
(/.f64 1 (*.f64 (/.f64 beta alpha) 1/2))
(/.f64 1 (.f64 (.f64 alpha (/.f64 1/2 beta)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(/.f64 1 (/.f64 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 beta (.f64 alpha 1/2))))
(/.f64 1 (/.f64 (/.f64 beta alpha) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (+.f64 alpha alpha) (/.f64 (+.f64 beta beta) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(/.f64 (+.f64 beta beta) (.f64 alpha (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(/.f64 (*.f64 alpha 4) (+.f64 beta beta))
(/.f64 (.f64 alpha 4) (/.f64 (.f64 beta 4) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(/.f64 (.f64 beta 4) (.f64 (+.f64 alpha alpha) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 alpha beta) 4) 2)
(/.f64 (.f64 (/.f64 alpha beta) 4) (.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 alpha beta))))
(/.f64 (/.f64 1 beta) (/.f64 1/2 alpha))
(/.f64 (/.f64 1 beta) (*.f64 (/.f64 1 alpha) 1/2))
(/.f64 (/.f64 1 beta) (/.f64 (/.f64 1 alpha) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(/.f64 (neg.f64 alpha) (/.f64 (neg.f64 beta) 2))
(/.f64 (neg.f64 alpha) (*.f64 (neg.f64 beta) 1/2))
(/.f64 (neg.f64 alpha) (/.f64 (neg.f64 (+.f64 beta beta)) 4))
(/.f64 (neg.f64 alpha) (/.f64 (neg.f64 beta) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(/.f64 (/.f64 beta alpha) (.f64 1/2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(/.f64 (/.f64 beta alpha) (.f64 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) 1/2))
(/.f64 -1 (*.f64 (neg.f64 (/.f64 beta alpha)) 1/2))
(/.f64 -1 (/.f64 (/.f64 beta (neg.f64 alpha)) 2))
(/.f64 -1 (/.f64 beta (*.f64 alpha -2)))
(/.f64 -1 (/.f64 (/.f64 beta (neg.f64 alpha)) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(/.f64 (/.f64 beta (.f64 alpha 1/2)) (.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
(/.f64 (/.f64 beta (.f64 alpha 1/2)) (.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) 1/2))
(/.f64 4 (/.f64 beta (*.f64 alpha 1/2)))
(/.f64 4 (.f64 (.f64 4 (/.f64 beta alpha)) 1/2))
(/.f64 4 (/.f64 (.f64 4 (/.f64 beta alpha)) (.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 alpha beta)))))
(/.f64 (*.f64 (/.f64 alpha beta) 8) 4)
(/.f64 (.f64 alpha 8) (.f64 beta 4))
(/.f64 (.f64 alpha 8) (/.f64 (.f64 beta 8) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(/.f64 (/.f64 1/2 beta) (/.f64 (/.f64 1/2 alpha) 2))
(/.f64 (/.f64 1/2 beta) (/.f64 (/.f64 1/2 alpha) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(/.f64 1/2 (/.f64 (/.f64 beta alpha) 4))
(/.f64 1/2 (/.f64 (/.f64 (*.f64 beta 1/2) alpha) 2))
(/.f64 1/2 (/.f64 (/.f64 (.f64 beta 1/2) alpha) (.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 alpha beta)))))
(/.f64 (*.f64 alpha -2) (neg.f64 beta))
(/.f64 (.f64 alpha -2) (.f64 (neg.f64 (+.f64 beta beta)) 1/2))
(/.f64 (.f64 alpha -2) (/.f64 (.f64 beta -2) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(/.f64 (.f64 alpha -2) (/.f64 (neg.f64 (+.f64 beta beta)) (.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 alpha beta)))))
(/.f64 (neg.f64 (+.f64 beta beta)) (.f64 (neg.f64 alpha) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(/.f64 (.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (.f64 alpha (/.f64 1/2 beta)))
(/.f64 8 (*.f64 4 (/.f64 beta alpha)))
(/.f64 (.f64 2 (.f64 (/.f64 alpha beta) 8)) 8)
(/.f64 -2 (neg.f64 (/.f64 beta alpha)))
(/.f64 (.f64 2 (.f64 alpha 8)) (.f64 (.f64 2 (*.f64 beta 8)) 1/2))
(/.f64 (.f64 4 (/.f64 beta alpha)) (.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(/.f64 (.f64 4 (/.f64 beta alpha)) (.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) 1))
(/.f64 (/.f64 alpha (neg.f64 beta)) -1/2)
(/.f64 (/.f64 alpha (neg.f64 beta)) (/.f64 -1 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) (/.f64 beta alpha))
(/.f64 (/.f64 2 beta) (/.f64 1 alpha))
(/.f64 -4 (-.f64 0 (/.f64 beta (*.f64 alpha 1/2))))
(/.f64 (*.f64 alpha (/.f64 1/2 beta)) 1/4)
(/.f64 (neg.f64 (/.f64 alpha beta)) -1/2)
(/.f64 (neg.f64 (/.f64 alpha beta)) (/.f64 -1 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(/.f64 (.f64 4 (neg.f64 alpha)) (.f64 beta -2))
(/.f64 (*.f64 4 (neg.f64 alpha)) (neg.f64 (+.f64 beta beta)))
(/.f64 (.f64 4 (neg.f64 alpha)) (.f64 (.f64 2 (.f64 beta -2)) 1/2))
(/.f64 (.f64 4 (neg.f64 alpha)) (.f64 (*.f64 2 (neg.f64 (+.f64 beta beta))) 1/2))
(/.f64 (.f64 4 (neg.f64 alpha)) (.f64 (neg.f64 (*.f64 beta 4)) 1/2))
(/.f64 (neg.f64 (*.f64 alpha -2)) beta)
(/.f64 (+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 beta alpha))) (+.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 alpha beta) 8)) (.f64 2 (.f64 (/.f64 alpha beta) 8))) 16)
(/.f64 (+.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))) (/.f64 beta (*.f64 alpha 1/2)))
(/.f64 (/.f64 (*.f64 alpha 8) beta) 4)
(/.f64 (/.f64 (+.f64 alpha alpha) (neg.f64 beta)) -1)
(/.f64 (/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) 2) (/.f64 (*.f64 beta 1/2) alpha))
(/.f64 (/.f64 2 (/.f64 1 alpha)) beta)
(/.f64 (/.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (/.f64 alpha beta))
(/.f64 (/.f64 1 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 alpha (/.f64 1/2 beta)))
(/.f64 (/.f64 (+.f64 beta beta) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) alpha)
(/.f64 (/.f64 (.f64 beta 4) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 alpha alpha))
(/.f64 (/.f64 4 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 2 (/.f64 alpha beta)))
(/.f64 (/.f64 (neg.f64 (+.f64 beta beta)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (neg.f64 alpha))
(/.f64 (/.f64 (.f64 4 (/.f64 beta alpha)) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) 2)
(/.f64 (/.f64 alpha 1/2) beta)
(/.f64 (/.f64 (+.f64 alpha alpha) 1/2) (+.f64 beta beta))
(/.f64 (/.f64 (.f64 alpha 4) 1/2) (.f64 beta 4))
(/.f64 (/.f64 (*.f64 (/.f64 alpha beta) 4) 1/2) 4)
(/.f64 (/.f64 (neg.f64 alpha) 1/2) (neg.f64 beta))
(/.f64 (/.f64 (*.f64 (/.f64 alpha beta) 8) 1/2) 8)
(/.f64 (/.f64 (.f64 alpha 8) 1/2) (.f64 beta 8))
(/.f64 (/.f64 (.f64 alpha -2) 1/2) (.f64 beta -2))
(/.f64 (/.f64 (*.f64 alpha -2) 1/2) (neg.f64 (+.f64 beta beta)))
(/.f64 (/.f64 (.f64 2 (.f64 alpha 8)) 1/2) (.f64 2 (.f64 beta 8)))
(/.f64 (/.f64 (/.f64 alpha (neg.f64 beta)) 1/2) -1)
(/.f64 (/.f64 (.f64 4 (neg.f64 alpha)) 1/2) (.f64 2 (*.f64 beta -2)))
(/.f64 (/.f64 (.f64 4 (neg.f64 alpha)) 1/2) (.f64 2 (neg.f64 (+.f64 beta beta))))
(/.f64 (/.f64 (.f64 4 (neg.f64 alpha)) 1/2) (neg.f64 (.f64 beta 4)))
(/.f64 (/.f64 (neg.f64 (*.f64 alpha -2)) 1/2) (+.f64 beta beta))
(/.f64 (/.f64 (.f64 2 (/.f64 alpha beta)) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))
(/.f64 (/.f64 (/.f64 beta (*.f64 alpha 1/2)) beta) (/.f64 (/.f64 beta alpha) alpha))
(/.f64 (/.f64 4 beta) (/.f64 2 alpha))
(/.f64 (/.f64 2 (neg.f64 beta)) (/.f64 -1 alpha))
(/.f64 (/.f64 (*.f64 alpha -2) beta) -1)
(/.f64 (/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) beta) (/.f64 1 alpha))
(/.f64 (/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) (+.f64 beta beta)) (/.f64 1/2 alpha))
(/.f64 (/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) (neg.f64 beta)) (/.f64 -1 alpha))
(/.f64 (/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) (/.f64 1 alpha)) beta)
(/.f64 (/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) 1/2) (/.f64 beta (*.f64 alpha 1/2)))
(/.f64 (neg.f64 (/.f64 beta (.f64 alpha 1/2))) (-.f64 0 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(/.f64 (neg.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))) (neg.f64 (/.f64 beta alpha)))

Outputs
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) 0)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(+.f64 0 (*.f64 2 (/.f64 alpha beta)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(-.f64 (*.f64 2 (/.f64 alpha beta)) 0)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 2 (/.f64 beta alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 2 (+.f64 (/.f64 (.f64 beta 1/2) alpha) (/.f64 (.f64 beta 1/2) alpha)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 2 (.f64 (/.f64 alpha beta) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 2 (/.f64 (/.f64 beta (.f64 alpha 1/2)) (.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 alpha (*.f64 beta 1/2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 alpha (/.f64 beta (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 alpha beta) 1/2)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 alpha beta) (/.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha 1/2))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 alpha beta) (/.f64 1 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (*.f64 2 (/.f64 alpha beta)) 1)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 2 (/.f64 alpha beta)) (.f64 (.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 2 (/.f64 alpha beta)) (/.f64 2 (.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 1 (/.f64 (*.f64 beta 1/2) alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 1 (.f64 (/.f64 (.f64 beta 1/2) alpha) 1))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 1 (*.f64 (/.f64 beta alpha) 1/2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 1 (.f64 (.f64 alpha (/.f64 1/2 beta)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(/.f64 (/.f64 1 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 alpha (/.f64 1/2 beta)))
(/.f64 (/.f64 alpha beta) (.f64 alpha (.f64 (/.f64 beta alpha) (/.f64 1/2 beta))))
(/.f64 1 (/.f64 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 beta (.f64 alpha 1/2))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 1 (/.f64 (/.f64 beta alpha) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (+.f64 alpha alpha) beta)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) (/.f64 (+.f64 beta beta) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (+.f64 beta beta) (.f64 alpha (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (*.f64 alpha 4) (+.f64 beta beta))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 alpha 4) (/.f64 (.f64 beta 4) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 beta 4) (.f64 (+.f64 alpha alpha) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (*.f64 (/.f64 alpha beta) 4) 2)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 (/.f64 alpha beta) 4) (.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 alpha beta))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 1 beta) (/.f64 1/2 alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 1 beta) (*.f64 (/.f64 1 alpha) 1/2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 1 beta) (/.f64 (/.f64 1 alpha) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (neg.f64 alpha) (/.f64 (neg.f64 beta) 2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (neg.f64 alpha) (*.f64 (neg.f64 beta) 1/2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (neg.f64 alpha) (/.f64 (neg.f64 (+.f64 beta beta)) 4))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (neg.f64 alpha) (/.f64 (neg.f64 beta) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 beta alpha) (.f64 1/2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 beta alpha) (.f64 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)) 1/2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 -1 (*.f64 (neg.f64 (/.f64 beta alpha)) 1/2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 -1 (/.f64 (/.f64 beta (neg.f64 alpha)) 2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 -1 (/.f64 beta (*.f64 alpha -2)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 -1 (/.f64 (/.f64 beta (neg.f64 alpha)) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 beta (.f64 alpha 1/2)) (.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 beta (.f64 alpha 1/2)) (.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) 1/2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 4 (/.f64 beta (*.f64 alpha 1/2)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 4 (.f64 (.f64 4 (/.f64 beta alpha)) 1/2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 4 (/.f64 (.f64 4 (/.f64 beta alpha)) (.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (*.f64 (/.f64 alpha beta) 8) 4)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 alpha 8) (.f64 beta 4))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 alpha 8) (/.f64 (.f64 beta 8) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 1/2 beta) (/.f64 (/.f64 1/2 alpha) 2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 1/2 beta) (/.f64 (/.f64 1/2 alpha) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 1/2 (/.f64 (/.f64 beta alpha) 4))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 1/2 (/.f64 (/.f64 (*.f64 beta 1/2) alpha) 2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 1/2 (/.f64 (/.f64 (.f64 beta 1/2) alpha) (.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (*.f64 alpha -2) (neg.f64 beta))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 alpha -2) (.f64 (neg.f64 (+.f64 beta beta)) 1/2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 alpha -2) (/.f64 (.f64 beta -2) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 alpha -2) (/.f64 (neg.f64 (+.f64 beta beta)) (.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (neg.f64 (+.f64 beta beta)) (.f64 (neg.f64 alpha) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 (/.f64 alpha beta) (/.f64 alpha beta)) (.f64 alpha (/.f64 1/2 beta)))
(.f64 (/.f64 alpha beta) (/.f64 alpha (.f64 beta (*.f64 alpha (/.f64 1/2 beta)))))
(/.f64 8 (*.f64 4 (/.f64 beta alpha)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 2 (.f64 (/.f64 alpha beta) 8)) 8)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 -2 (neg.f64 (/.f64 beta alpha)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 2 (.f64 alpha 8)) (.f64 (.f64 2 (*.f64 beta 8)) 1/2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 4 (/.f64 beta alpha)) (.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 4 (/.f64 beta alpha)) (.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) 1))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 alpha (neg.f64 beta)) -1/2)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 alpha (neg.f64 beta)) (/.f64 -1 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) (/.f64 beta alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 2 beta) (/.f64 1 alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 -4 (-.f64 0 (/.f64 beta (*.f64 alpha 1/2))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (*.f64 alpha (/.f64 1/2 beta)) 1/4)
(*.f64 (/.f64 1/2 beta) (/.f64 alpha 1/4))
(*.f64 alpha (/.f64 (/.f64 1/2 beta) 1/4))
(/.f64 (neg.f64 (/.f64 alpha beta)) -1/2)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (neg.f64 (/.f64 alpha beta)) (/.f64 -1 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 4 (neg.f64 alpha)) (.f64 beta -2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (*.f64 4 (neg.f64 alpha)) (neg.f64 (+.f64 beta beta)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 4 (neg.f64 alpha)) (.f64 (.f64 2 (.f64 beta -2)) 1/2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 4 (neg.f64 alpha)) (.f64 (*.f64 2 (neg.f64 (+.f64 beta beta))) 1/2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (.f64 4 (neg.f64 alpha)) (.f64 (neg.f64 (*.f64 beta 4)) 1/2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (neg.f64 (*.f64 alpha -2)) beta)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (+.f64 (.f64 4 (/.f64 beta alpha)) (.f64 4 (/.f64 beta alpha))) (+.f64 (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 2 (.f64 (/.f64 beta alpha) (/.f64 beta alpha)))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 alpha beta) 8)) (.f64 2 (.f64 (/.f64 alpha beta) 8))) 16)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (+.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))) (/.f64 beta (*.f64 alpha 1/2)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (*.f64 alpha 8) beta) 4)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (+.f64 alpha alpha) (neg.f64 beta)) -1)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) 2) (/.f64 (*.f64 beta 1/2) alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 2 (/.f64 1 alpha)) beta)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (/.f64 alpha beta))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 1 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 alpha (/.f64 1/2 beta)))
(/.f64 (/.f64 alpha beta) (.f64 alpha (.f64 (/.f64 beta alpha) (/.f64 1/2 beta))))
(/.f64 (/.f64 (+.f64 beta beta) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) alpha)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 beta 4) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 alpha alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 4 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (.f64 2 (/.f64 alpha beta)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (neg.f64 (+.f64 beta beta)) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (neg.f64 alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 4 (/.f64 beta alpha)) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) 2)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 alpha 1/2) beta)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (+.f64 alpha alpha) 1/2) (+.f64 beta beta))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 alpha 4) 1/2) (.f64 beta 4))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (*.f64 (/.f64 alpha beta) 4) 1/2) 4)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (neg.f64 alpha) 1/2) (neg.f64 beta))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (*.f64 (/.f64 alpha beta) 8) 1/2) 8)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 alpha 8) 1/2) (.f64 beta 8))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 alpha -2) 1/2) (.f64 beta -2))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (*.f64 alpha -2) 1/2) (neg.f64 (+.f64 beta beta)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 2 (.f64 alpha 8)) 1/2) (.f64 2 (.f64 beta 8)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (/.f64 alpha (neg.f64 beta)) 1/2) -1)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 4 (neg.f64 alpha)) 1/2) (.f64 2 (*.f64 beta -2)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 4 (neg.f64 alpha)) 1/2) (.f64 2 (neg.f64 (+.f64 beta beta))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 4 (neg.f64 alpha)) 1/2) (neg.f64 (.f64 beta 4)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (neg.f64 (*.f64 alpha -2)) 1/2) (+.f64 beta beta))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 2 (/.f64 alpha beta)) (.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 (/.f64 alpha beta) (/.f64 alpha beta)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (/.f64 beta (*.f64 alpha 1/2)) beta) (/.f64 (/.f64 beta alpha) alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 4 beta) (/.f64 2 alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 2 (neg.f64 beta)) (/.f64 -1 alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (*.f64 alpha -2) beta) -1)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) beta) (/.f64 1 alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) (+.f64 beta beta)) (/.f64 1/2 alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) (neg.f64 beta)) (/.f64 -1 alpha))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) (/.f64 1 alpha)) beta)
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (/.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta))) 1/2) (/.f64 beta (*.f64 alpha 1/2)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (neg.f64 (/.f64 beta (.f64 alpha 1/2))) (-.f64 0 (.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)
(/.f64 (neg.f64 (.f64 (/.f64 beta alpha) (.f64 2 (/.f64 alpha beta)))) (neg.f64 (/.f64 beta alpha)))
(+.f64 (/.f64 alpha beta) (/.f64 alpha beta))
(/.f64 (+.f64 alpha alpha) beta)

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 beta (+.f64 2 beta))
✓	0.0b	(-.f64 (neg.f64 beta) (+.f64 2 beta))
✓	3.4b	(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))
✓	4.0b	(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))

Compiler

Compiled 139 to 93 computations (33.1% saved)

series7.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	beta	@	0	(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
1.0ms	beta	@	-inf	(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))
0.0ms	alpha	@	0	(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
0.0ms	beta	@	inf	(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))
0.0ms	alpha	@	0	(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))

rewrite122.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`rational.json-simplify-35`
1086×	`bool.json-1`
1086×	`bool.json-2`
1058×	`rational.json-1`
1058×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	144
1	166	144
2	480	144
3	1196	144
4	3159	144
5	7807	144

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

Inputs
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (neg.f64 beta) (+.f64 2 beta))
(*.f64 beta (+.f64 2 beta))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 2 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (pow.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (/.f64 1 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (neg.f64 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))) (/.f64 1/2 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))) (.f64 (/.f64 1 (pow.f64 alpha 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (/.f64 2 (pow.f64 alpha 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) 4) (/.f64 1 (.f64 (pow.f64 alpha 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))) (/.f64 -1 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (/.f64 2 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (pow.f64 alpha 2)) (.f64 2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 1/2) (.f64 2 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (neg.f64 (pow.f64 alpha 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (.f64 2 (pow.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (pow.f64 alpha 2) 4)) (.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (pow.f64 alpha 2)) (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/2 (pow.f64 alpha 2)) (/.f64 1/2 (pow.f64 alpha 2))) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (neg.f64 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) (.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (/.f64 2 (pow.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (/.f64 2 (pow.f64 alpha 2))) (.f64 2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))))) (.f64 alpha (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))) (-.f64 (neg.f64 beta) (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)) (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 beta (+.f64 2 beta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 beta (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 beta (+.f64 2 beta)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 beta (+.f64 2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 beta (+.f64 beta (+.f64 beta 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 beta (.f64 (+.f64 2 beta) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 beta (.f64 (+.f64 2 beta) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 beta (.f64 (+.f64 2 beta) 4))) (.f64 2 (.f64 beta (.f64 (+.f64 2 beta) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 beta (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 beta (+.f64 2 beta)) (.f64 beta (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 beta (+.f64 2 beta)) (*.f64 beta (+.f64 2 beta)))))))

simplify259.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1186×	`rational.json-simplify-46`
972×	`rational.json-simplify-41`
852×	`rational.json-simplify-51`
792×	`rational.json-simplify-2`
678×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	9770
1	753	8704
2	2684	8560
3	4829	8560
4	7131	8560

Stop Event

1×	node limit

Counts

170 → 163

Calls

Call 1

Inputs
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
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(/.f64 (/.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (neg.f64 (pow.f64 alpha 2))) (/.f64 -1 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta)))) 1/2) (.f64 2 (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))))))
(/.f64 (/.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))))) (pow.f64 alpha 2))
(/.f64 (neg.f64 (+.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))))) (-.f64 0 (.f64 alpha (/.f64 (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))) (-.f64 (neg.f64 beta) (+.f64 2 beta))))))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))))) (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))))) (neg.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))))) (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta))))) (neg.f64 (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))))))
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 2 beta)))
(+.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 0)
(+.f64 0 (-.f64 (neg.f64 beta) (+.f64 2 beta)))
(+.f64 -1 (-.f64 1 (+.f64 2 (+.f64 beta beta))))
(+.f64 (neg.f64 (+.f64 beta 3)) (-.f64 1 beta))
(+.f64 (-.f64 1 beta) (neg.f64 (+.f64 beta 3)))
(+.f64 (neg.f64 (+.f64 2 beta)) (neg.f64 beta))
(+.f64 (-.f64 1 (+.f64 2 beta)) (-.f64 -1 beta))
(+.f64 (-.f64 -1 beta) (-.f64 1 (+.f64 2 beta)))
(+.f64 (-.f64 1 (+.f64 2 (+.f64 beta beta))) -1)
(*.f64 2 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2))
(*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 1)
(*.f64 1 (-.f64 (neg.f64 beta) (+.f64 2 beta)))
(*.f64 -1 (+.f64 2 (+.f64 beta beta)))
(.f64 (.f64 2 (-.f64 (neg.f64 beta) (+.f64 2 beta))) 1/2)
(.f64 (.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 4) 1/4)
(*.f64 (+.f64 2 (+.f64 beta beta)) -1)
(.f64 1/2 (.f64 2 (-.f64 (neg.f64 beta) (+.f64 2 beta))))
(*.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) 2)
(.f64 1/4 (.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 4))
(/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 1)
(/.f64 (*.f64 2 (-.f64 (neg.f64 beta) (+.f64 2 beta))) 2)
(/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 4) 4)
(/.f64 (+.f64 2 (+.f64 beta beta)) -1)
(/.f64 (.f64 2 (.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 4)) 8)
(/.f64 (*.f64 2 (+.f64 2 (+.f64 beta beta))) -2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 4))) 16)
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(+.f64 (*.f64 beta (+.f64 2 beta)) 0)
(+.f64 0 (*.f64 beta (+.f64 2 beta)))
(-.f64 (*.f64 beta (+.f64 2 beta)) 0)
(/.f64 (*.f64 beta (+.f64 2 beta)) 1)
(/.f64 (*.f64 beta (+.f64 beta (+.f64 beta 4))) 2)
(/.f64 (.f64 beta (.f64 (+.f64 2 beta) 4)) 4)
(/.f64 (.f64 2 (.f64 beta (*.f64 (+.f64 2 beta) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 beta (.f64 (+.f64 2 beta) 4))) (.f64 2 (.f64 beta (.f64 (+.f64 2 beta) 4)))) 16)

Outputs
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (-.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha))) (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (*.f64 2 (/.f64 1 alpha)))))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (-.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (*.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha))) (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (*.f64 2 (/.f64 1 alpha))))))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (-.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (*.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha))) (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (*.f64 2 (/.f64 1 alpha))))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (-.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (*.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha))) (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (*.f64 2 (/.f64 1 alpha))))))
(-.f64 (+.f64 (.f64 beta (-.f64 (.f64 6 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (.f64 2 (/.f64 1 alpha)))
(+.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (-.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (*.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha))) (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (*.f64 2 (/.f64 1 alpha))))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (-.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (*.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha))) (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (*.f64 2 (/.f64 1 alpha))))))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (-.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (.f64 2 (/.f64 1 alpha))))
(+.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 2 (/.f64 1 alpha)))) (*.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha)))))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 2 (-.f64 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)) (/.f64 1 alpha))) (.f64 beta (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (*.f64 2 (/.f64 1 alpha))))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (*.f64 (+.f64 2 beta) (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
(+.f64 (neg.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha)) (+.f64 (.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 2))))
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(*.f64 (+.f64 2 (+.f64 beta beta)) -1)
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 2 beta)))
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(neg.f64 (+.f64 beta (+.f64 2 beta)))
(.f64 1/2 (.f64 2 (-.f64 (neg.f64 beta) (+.f64 2 beta))))
(-.f64 (neg.f64 beta) (+.f64 2 beta))
(*.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 2) 2)
(-.f64 (neg.f64 beta) (+.f64 2 beta))
(.f64 1/4 (.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 4))
(-.f64 (neg.f64 beta) (+.f64 2 beta))
(/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 1)
(-.f64 (neg.f64 beta) (+.f64 2 beta))
(/.f64 (*.f64 2 (-.f64 (neg.f64 beta) (+.f64 2 beta))) 2)
(-.f64 (neg.f64 beta) (+.f64 2 beta))
(/.f64 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 4) 4)
(-.f64 (neg.f64 beta) (+.f64 2 beta))
(/.f64 (+.f64 2 (+.f64 beta beta)) -1)
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 2 beta)))
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(neg.f64 (+.f64 beta (+.f64 2 beta)))
(/.f64 (.f64 2 (.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 4)) 8)
(-.f64 (neg.f64 beta) (+.f64 2 beta))
(/.f64 (*.f64 2 (+.f64 2 (+.f64 beta beta))) -2)
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 2 beta)))
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(neg.f64 (+.f64 beta (+.f64 2 beta)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) 4))) 16)
(-.f64 (neg.f64 beta) (+.f64 2 beta))
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(+.f64 (neg.f64 beta) (neg.f64 (+.f64 2 beta)))
(neg.f64 (+.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 beta (+.f64 2 beta)) 0)
(*.f64 beta (+.f64 2 beta))
(+.f64 0 (*.f64 beta (+.f64 2 beta)))
(*.f64 beta (+.f64 2 beta))
(-.f64 (*.f64 beta (+.f64 2 beta)) 0)
(*.f64 beta (+.f64 2 beta))
(/.f64 (*.f64 beta (+.f64 2 beta)) 1)
(*.f64 beta (+.f64 2 beta))
(/.f64 (*.f64 beta (+.f64 beta (+.f64 beta 4))) 2)
(*.f64 beta (+.f64 2 beta))
(/.f64 (.f64 beta (.f64 (+.f64 2 beta) 4)) 4)
(*.f64 beta (+.f64 2 beta))
(/.f64 (.f64 2 (.f64 beta (*.f64 (+.f64 2 beta) 4))) 8)
(*.f64 beta (+.f64 2 beta))
(/.f64 (+.f64 (.f64 2 (.f64 beta (.f64 (+.f64 2 beta) 4))) (.f64 2 (.f64 beta (.f64 (+.f64 2 beta) 4)))) 16)
(*.f64 beta (+.f64 2 beta))

eval262.0ms (1.6%)

Compiler: Compiled 9465 to 6240 computations (34.1% saved)

prune87.0ms (0.5%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	395	7	402
Fresh	0	4	4
Picked	1	0	1
Done	1	9	10
Total	397	20	417

Error

0.0b

Counts

417 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	54.7b	(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) alpha) (/.f64 1 beta))
	54.3b	(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) 1/2) (*.f64 alpha (/.f64 2 beta)))
✓	52.9b	(/.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
	52.5b	(/.f64 (-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 2 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
✓	29.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	31.0b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	14.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	32.2b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	51.8b	(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))))))) 2)
	48.5b	(/.f64 (+.f64 beta 1) alpha)
	43.8b	(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
✓	41.6b	(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
	54.3b	(/.f64 (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)) alpha)
	57.5b	(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (/.f64 (pow.f64 alpha 2) (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))))) (+.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))))))) 2)
	50.3b	(/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) 2)
	58.1b	(/.f64 beta alpha)
✓	38.7b	(/.f64 2 2)
✓	51.8b	(/.f64 1 alpha)
✓	29.9b	(/.f64 1 2)
	59.1b	(.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 1 (.f64 alpha (/.f64 alpha beta))))

Compiler

Compiled 334 to 255 computations (23.7% saved)

regimes165.0ms (1%)

Counts

29 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (/.f64 2 alpha) 2)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
(/.f64 (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)) alpha)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 1 (.f64 alpha (/.f64 alpha beta))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) alpha) (/.f64 1 beta))
(/.f64 (/.f64 (/.f64 (+.f64 alpha (/.f64 alpha beta)) alpha) 1/2) (*.f64 alpha (/.f64 2 beta)))
(/.f64 (-.f64 (/.f64 2 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
(/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))) 2)
(/.f64 (-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 alpha 3))) (/.f64 2 alpha)) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) 2)
(/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))) 2)
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (/.f64 (pow.f64 alpha 2) (neg.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))))) (+.f64 (/.f64 alpha (-.f64 (neg.f64 beta) (+.f64 2 beta))) (/.f64 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))))))) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2)))))) 2)
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 4) (.f64 beta (pow.f64 (+.f64 2 beta) 3))) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (pow.f64 alpha 2))))))) 2)

Outputs
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Calls

5 calls:

77.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
40.0ms	alpha
17.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
14.0ms	beta
6.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
3.5b	2	`alpha`
13.0b	1	`beta`
0.3b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.3b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.3b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 481 to 338 computations (29.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999996054331	-0.9999950888960232

Compiler

Compiled 20 to 15 computations (25% saved)

regimes63.0ms (0.4%)

Counts

18 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (/.f64 2 alpha) 2)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
(/.f64 (*.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 beta alpha)) alpha)
(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(.f64 (+.f64 alpha (/.f64 alpha beta)) (/.f64 1 (.f64 alpha (/.f64 alpha beta))))

Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (+.f64 beta 1) alpha)

Calls

2 calls:

48.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
4.6b	2	`alpha`
14.1b	1	`beta`

Compiler

Compiled 137 to 95 computations (30.7% saved)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	2.9095748971814695e+49	8.345848113900698e+49

Results

8.0ms

80×

body

256

valid

Compiler

Compiled 120 to 95 computations (20.8% saved)

regimes64.0ms (0.4%)

Counts

11 → 8

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (/.f64 2 alpha) 2)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 2 (neg.f64 (/.f64 2 beta))) 2)

Outputs
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 2 2)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 beta 1) alpha)

Calls

2 calls:

45.0ms	alpha
15.0ms	beta

Results

Error	Segments	Branch
14.0b	8	`alpha`
14.3b	2	`beta`

Compiler

Compiled 64 to 49 computations (23.4% saved)

bsearch75.0ms (0.5%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
17.0ms	6.0151246908552334e-5	116.14314390305799
16.0ms	1.612639419932491e-117	2.035827863031023e-113
9.0ms	9.547669358956613e-157	2.8019420300218364e-156
10.0ms	8.357660316582823e-263	1.791777154222464e-258
2.0ms	-4.931400420529595e-307	4.74582343721843e-308
9.0ms	-1.4142317352520652e-222	-5.4377033229449375e-223
12.0ms	-2.757708346416967e-189	-3.782401580272082e-190

Results

67.0ms

624×

body

256

valid

Compiler

Compiled 598 to 552 computations (7.7% saved)

regimes127.0ms (0.8%)

Counts

9 → 8

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (/.f64 2 alpha) 2)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)

Outputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 1 2)
(/.f64 2 2)
(/.f64 1 2)
(/.f64 (+.f64 beta 1) alpha)

Calls

2 calls:

114.0ms	alpha
11.0ms	beta

Results

Error	Segments	Branch
14.3b	8	`alpha`
14.3b	2	`beta`

Compiler

Compiled 49 to 36 computations (26.5% saved)

bsearch177.0ms (1.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
73.0ms	6.0151246908552334e-5	116.14314390305799
14.0ms	1.612639419932491e-117	2.035827863031023e-113
10.0ms	9.547669358956613e-157	2.8019420300218364e-156
63.0ms	8.357660316582823e-263	1.791777154222464e-258
12.0ms	-4.931400420529595e-307	4.74582343721843e-308
2.0ms	-1.4142317352520652e-222	-5.4377033229449375e-223
2.0ms	-2.757708346416967e-189	-3.782401580272082e-190

Results

167.0ms

624×

body

256

valid

Compiler

Compiled 506 to 483 computations (4.5% saved)

regimes90.0ms (0.6%)

Counts

5 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)

Outputs
(/.f64 1 2)
(/.f64 2 2)

Calls

2 calls:

77.0ms	alpha
12.0ms	beta

Results

Error	Segments	Branch
16.6b	10	`alpha`
14.7b	2	`beta`

Compiler

Compiled 25 to 20 computations (20% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	8.206847665337357e-6	1554028743616719.5

Results

15.0ms	131×	body	256	valid
7.0ms	29×	body	1024	valid
3.0ms	16×	body	512	valid

Compiler

Compiled 152 to 147 computations (3.3% saved)

regimes12.0ms (0.1%)

Accuracy

Total -40.5b remaining (-194.4%)

Threshold costs -40.5b (-194.4%)

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 1 alpha)

Outputs
(/.f64 1 2)
(/.f64 1 alpha)

Calls

2 calls:

8.0ms	alpha
4.0ms	beta

Results

Error	Segments	Branch
20.9b	2	`alpha`
29.9b	1	`beta`

Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	6.0151246908552334e-5	116.14314390305799

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 128 to 114 computations (10.9% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	361

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007163225943973/9007199254740992) (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 30000000000000002288930952327566100988489491283968) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha -1906253473842985/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -4558212991226463/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) (/.f64 2 2) (if (<=.f64 alpha -5060056332682765/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (/.f64 1 2) (if (<=.f64 alpha 7090649168385425/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) (/.f64 2 2) (if (<=.f64 alpha 2705176266112081/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 1 2) (if (<=.f64 alpha 4658085086122969/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (/.f64 2 2) (if (<=.f64 alpha 4278419646001971/2251799813685248) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (+.f64 beta 1) alpha))))))))
(if (<=.f64 alpha -5016456510113119/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088) (/.f64 1 2) (if (<=.f64 alpha -6511732844609233/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (/.f64 2 2) (if (<=.f64 alpha 8703296892214357/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 1 2) (if (<=.f64 alpha 8154246543643239/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) (/.f64 2 2) (if (<=.f64 alpha 2705176266112081/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 1 2) (if (<=.f64 alpha 6530191663593343/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 2 2) (if (<=.f64 alpha 75) (/.f64 1 2) (/.f64 (+.f64 beta 1) alpha))))))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 alpha 3602879701896397/2251799813685248) (/.f64 1 2) (/.f64 1 alpha))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007163225943973/9007199254740992) (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 30000000000000002288930952327566100988489491283968) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha -1906253473842985/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -4558212991226463/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) (/.f64 2 2) (if (<=.f64 alpha -5060056332682765/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) (/.f64 1 2) (if (<=.f64 alpha 7090649168385425/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) (/.f64 2 2) (if (<=.f64 alpha 2705176266112081/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 1 2) (if (<=.f64 alpha 4658085086122969/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (/.f64 2 2) (if (<=.f64 alpha 4278419646001971/2251799813685248) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (+.f64 beta 1) alpha))))))))
(if (<=.f64 alpha -1906253473842985/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -4558212991226463/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) 1 (if (<=.f64 alpha -5060056332682765/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424) 1/2 (if (<=.f64 alpha 7090649168385425/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) 1 (if (<=.f64 alpha 2705176266112081/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) 1/2 (if (<=.f64 alpha 4658085086122969/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) 1 (if (<=.f64 alpha 4278419646001971/2251799813685248) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (+.f64 beta 1) alpha))))))))
(if (<=.f64 alpha -5016456510113119/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088) (/.f64 1 2) (if (<=.f64 alpha -6511732844609233/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (/.f64 2 2) (if (<=.f64 alpha 8703296892214357/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 1 2) (if (<=.f64 alpha 8154246543643239/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) (/.f64 2 2) (if (<=.f64 alpha 2705176266112081/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (/.f64 1 2) (if (<=.f64 alpha 6530191663593343/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 2 2) (if (<=.f64 alpha 75) (/.f64 1 2) (/.f64 (+.f64 beta 1) alpha))))))))
(if (<=.f64 alpha -5016456510113119/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088) 1/2 (if (<=.f64 alpha -6511732844609233/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) 1 (if (<=.f64 alpha 8703296892214357/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) 1/2 (if (<=.f64 alpha 8154246543643239/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608) 1 (if (<=.f64 alpha 2705176266112081/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) 1/2 (if (<=.f64 alpha 6530191663593343/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) 1 (if (<=.f64 alpha 75) 1/2 (/.f64 (+.f64 beta 1) alpha))))))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(if (<=.f64 alpha 3602879701896397/2251799813685248) (/.f64 1 2) (/.f64 1 alpha))
(if (<=.f64 alpha 3602879701896397/2251799813685248) 1/2 (/.f64 1 alpha))
(/.f64 1 2)
1/2

Compiler

Compiled 169 to 129 computations (23.7% saved)

soundness1.3s (8%)

Algorithm

1×	egg-herbie

Rules

11766×	`rational.json-simplify-41`
1500×	`rational.json-simplify-1`
1028×	`rational.json-simplify-48`
644×	`rational.json-simplify-35`
60×	`rational.json-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	22	37
2	43	37
3	97	37
4	278	37
5	1009	37
6	1443	37
7	1513	37
8	1626	37
9	1711	37
10	1765	37
11	1794	37
12	1892	37
13	1937	37
14	1987	37
15	2020	37
16	2132	37
17	2174	37
18	2242	37
19	2274	37
20	2288	37
21	2297	37
22	2306	37
23	2314	37
24	2322	37
25	2329	37
26	2336	37
27	2343	37
28	2350	37
29	2357	37
30	2364	37
31	2371	37
32	2378	37
33	2385	37
34	2392	37
35	2399	37
36	2406	37
37	2413	37
38	2420	37
39	2427	37
40	2434	37
41	2441	37
42	2448	37
43	2455	37
44	2462	37
45	2469	37
46	2476	37
47	2483	37
48	2490	37
49	2497	37
50	2504	37
51	2511	37
52	2518	37
53	2525	37
54	2532	37
55	2539	37
56	2546	37
57	2553	37
58	2560	37
59	2567	37
60	2574	37
61	2581	37
62	2588	37
63	2595	37
64	2602	37
65	2609	37
66	2616	37
67	2623	37
68	2630	37
69	2637	37
70	2644	37
71	2651	37
72	2658	37
73	2665	37
74	2672	37
75	2679	37
76	2686	37
77	2693	37
78	2700	37
79	2707	37
80	2714	37
81	2721	37
82	2728	37
83	2735	37
84	2742	37
85	2749	37
86	2756	37
87	2763	37
88	2770	37
89	2777	37
90	2784	37
91	2791	37
92	2798	37
93	2805	37
94	2812	37
95	2819	37
96	2826	37
97	2833	37
98	2840	37
99	2847	37
100	2854	37
101	2861	37
102	2868	37
103	2875	37
104	2882	37
105	2889	37
106	2896	37
107	2903	37
108	2910	37
109	2917	37
110	2924	37
111	2931	37
112	2938	37
113	2945	37
114	2952	37
115	2959	37
116	2966	37
117	2973	37
118	2980	37
119	2987	37
120	2994	37
121	3001	37
122	3008	37
123	3015	37
124	3022	37
125	3029	37
126	3036	37
127	3043	37
128	3050	37
129	3057	37
130	3064	37
131	3071	37
132	3078	37
133	3085	37
134	3092	37
135	3099	37
136	3106	37
137	3113	37
138	3120	37
139	3127	37
140	3134	37
141	3141	37
142	3148	37
143	3155	37
144	3162	37
145	3169	37
146	3176	37
147	3183	37
148	3190	37
149	3197	37
150	3204	37
151	3211	37
152	3218	37
153	3225	37
154	3232	37
155	3239	37
156	3246	37
157	3253	37
158	3260	37
159	3267	37
160	3274	37

Stop Event

1×	node limit

Compiler

Compiled 28 to 19 computations (32.1% saved)

end91.0ms (0.6%)

Compiler: Compiled 157 to 117 computations (25.5% saved)

Details

analyze38.0ms (0.2%)

sample1.9s (11.5%)

preprocess6.2s (38.6%)

simplify1.2s (7.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize17.0ms (0.1%)

series8.0ms (0%)

rewrite107.0ms (0.7%)

simplify140.0ms (0.9%)

eval243.0ms (1.5%)

prune125.0ms (0.8%)

localize15.0ms (0.1%)

series1.0ms (0%)

rewrite88.0ms (0.5%)

simplify399.0ms (2.5%)

localize3.0ms (0%)

localize13.0ms (0.1%)

series1.0ms (0%)

rewrite88.0ms (0.5%)

simplify99.0ms (0.6%)

localize20.0ms (0.1%)

series63.0ms (0.4%)

rewrite84.0ms (0.5%)

simplify84.0ms (0.5%)

localize127.0ms (0.8%)

series14.0ms (0.1%)

rewrite91.0ms (0.6%)

simplify238.0ms (1.5%)

eval358.0ms (2.2%)

prune117.0ms (0.7%)

localize3.0ms (0%)

localize5.0ms (0%)

localize10.0ms (0.1%)

localize11.0ms (0.1%)

series3.0ms (0%)

rewrite151.0ms (0.9%)

simplify189.0ms (1.2%)

localize55.0ms (0.3%)

series1.0ms (0%)

rewrite71.0ms (0.4%)

simplify110.0ms (0.7%)

eval59.0ms (0.4%)

prune43.0ms (0.3%)

localize8.0ms (0.1%)

localize7.0ms (0%)

localize6.0ms (0%)

series2.0ms (0%)

rewrite108.0ms (0.7%)

simplify127.0ms (0.8%)

localize12.0ms (0.1%)

series2.0ms (0%)

rewrite95.0ms (0.6%)

simplify108.0ms (0.7%)

localize62.0ms (0.4%)

series7.0ms (0%)

rewrite122.0ms (0.8%)

simplify259.0ms (1.6%)

eval262.0ms (1.6%)

prune87.0ms (0.5%)

regimes165.0ms (1%)

bsearch0.0ms (0%)

regimes63.0ms (0.4%)

bsearch9.0ms (0.1%)

regimes64.0ms (0.4%)

bsearch75.0ms (0.5%)

regimes127.0ms (0.8%)

bsearch177.0ms (1.1%)

regimes90.0ms (0.6%)

bsearch27.0ms (0.2%)

regimes12.0ms (0.1%)

bsearch18.0ms (0.1%)

simplify11.0ms (0.1%)

soundness1.3s (8%)

end91.0ms (0.6%)

Profiling