Details

analyze36.0ms (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)

sample1.5s (7.6%)

Results

947.0ms	6482×	body	256	valid
323.0ms	1041×	body	1024	valid
187.0ms	629×	body	512	valid
36.0ms	104×	body	2048	valid

Bogosity

preprocess6.5s (32.6%)

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)

simplify1.3s (6.4%)

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

17.7b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.7b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	2.3b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1444×	`rational.json-1`
1444×	`rational.json-2`
1444×	`rational.json-4`
1444×	`rational.json-3`
1436×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	83	56
2	197	56
3	480	56
4	1248	56
5	4175	56

Stop Event

1×	node limit

Counts

2 → 98

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 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 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 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 beta alpha) 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 beta alpha) 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 (+.f64 2 (.f64 (-.f64 beta alpha) (/.f64 2 (+.f64 beta (+.f64 alpha 2))))) 1/2)))) (#(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 (-.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 beta alpha) 4) (.f64 (/.f64 2 (.f64 (+.f64 beta (+.f64 alpha 2)) 8)) (+.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) 4) (+.f64 beta (+.f64 alpha 2)))) 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 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (.f64 (-.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (+.f64 beta (+.f64 alpha 2))) (.f64 (.f64 (-.f64 beta alpha) 2) (+.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (/.f64 1/2 (+.f64 beta (+.f64 alpha 2)))) (.f64 (-.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 beta alpha) (+.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 alpha beta)) (-.f64 alpha beta)))) 1) (/.f64 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Outputs

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

simplify232.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1162×	`rational.json-simplify-35`
958×	`rational.json-simplify-43`
942×	`rational.json-simplify-51`
914×	`rational.json-simplify-2`
864×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	418	8468
1	1029	8260
2	2260	7902
3	6943	7730

Stop Event

1×	node limit

Counts

146 → 304

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

eval219.0ms (1.1%)

Compiler: Compiled 9821 to 7004 computations (28.7% saved)

prune73.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	295	9	304
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	295	10	305

Error

0.1b

Counts

305 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.8b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	35.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	45.8b	(/.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)
✓	17.7b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	17.8b	(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha beta)) (-.f64 beta alpha))) 1) 2)
▶	19.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	42.8b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
	61.7b	(/.f64 (+.f64 -1 1) 2)
▶	45.2b	(/.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)
▶	38.6b	(/.f64 2 2)

Compiler

Compiled 339 to 263 computations (22.4% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha beta)) (-.f64 beta alpha)))
✓	0.0b	(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha beta))
✓	0.1b	(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha beta)) (-.f64 beta alpha))
✓	2.3b	(+.f64 (/.f64 (-.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha beta)) (-.f64 beta alpha))) 1)

Compiler

Compiled 99 to 44 computations (55.6% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	0	(/.f64 (-.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha beta)) (-.f64 beta alpha)))
1.0ms	beta	@	0	(+.f64 (/.f64 (-.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha beta)) (-.f64 beta alpha))) 1)
1.0ms	alpha	@	inf	(+.f64 (/.f64 (-.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha beta)) (-.f64 beta alpha))) 1)
1.0ms	alpha	@	inf	(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha beta)) (-.f64 beta alpha))
1.0ms	alpha	@	0	(+.f64 (/.f64 (-.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha beta)) (-.f64 beta alpha))) 1)

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1580×	`exponential.json-3`
1580×	`rational.json-1`
1580×	`rational.json-2`
1580×	`rational.json-4`
1580×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	166
1	110	166
2	300	166
3	1055	118
4	4922	118

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

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

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

simplify299.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1410×	`rational.json-simplify-35`
988×	`rational.json-simplify-51`
806×	`rational.json-simplify-50`
770×	`rational.json-simplify-2`
698×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	736	17972
1	2197	16154
2	6240	15700

Stop Event

1×	node limit

Counts

266 → 463

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`rational.json-1`
1442×	`rational.json-2`
1442×	`rational.json-4`
1442×	`rational.json-3`
1434×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	64	32
2	160	32
3	370	32
4	953	32
5	3853	32

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

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

Outputs

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

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

simplify149.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1440×	`rational.json-simplify-2`
806×	`rational.json-simplify-35`
792×	`rational.json-simplify-41`
788×	`rational.json-simplify-44`
720×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	3215
1	520	3203
2	1231	3131
3	4167	3047
4	7316	3047

Stop Event

1×	node limit

Counts

143 → 181

Calls

Call 1

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

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

localize27.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`
1380×	`rational.json-3`
1372×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	55	19
2	138	19
3	338	19
4	883	19
5	3705	19

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs

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

simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1098×	`rational.json-simplify-43`
944×	`rational.json-simplify-50`
886×	`rational.json-simplify-2`
694×	`rational.json-simplify-44`
660×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	2566
1	316	2410
2	787	2356
3	3055	2356
4	5645	2356
5	7379	2356

Stop Event

1×	node limit

Counts

88 → 98

Calls

Call 1

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

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

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
✓	0.2b	(/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)
✓	3.6b	(+.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)))
✓	5.1b	(/.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)

series9.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	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)))
1.0ms	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)))
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)))
1.0ms	beta	@	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)))

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`rational.json-1`
1862×	`rational.json-2`
1862×	`rational.json-4`
1862×	`rational.json-3`
1846×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	168
1	115	168
2	286	168
3	742	168
4	1987	168
5	5471	168

Stop Event

1×	node limit

Counts

4 → 142

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

simplify394.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1390×	`rational.json-simplify-2`
870×	`rational.json-simplify-50`
804×	`rational.json-simplify-41`
664×	`rational.json-simplify-35`
654×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	11150
1	926	11080
2	3373	10848
3	4904	10848
4	6367	10848
5	7370	10848

Stop Event

1×	node limit

Counts

226 → 204

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

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

eval966.0ms (4.9%)

Compiler: Compiled 33006 to 23297 computations (29.4% saved)

prune326.0ms (1.6%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	933	13	946
Fresh	1	3	4
Picked	1	0	1
Done	1	4	5
Total	936	20	956

Error

0.1b

Counts

956 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.8b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	19.1b	(/.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 beta 2) beta)) (/.f64 (+.f64 beta 2) beta)) 2)
	47.1b	(/.f64 (/.f64 2 alpha) 2)
▶	42.6b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
	35.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	45.8b	(/.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)
✓	17.7b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	37.2b	(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (neg.f64 (+.f64 2 alpha))) 1) 2)
	41.5b	(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (neg.f64 beta)) 1) 2)
✓	19.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	38.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
▶	42.8b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
	51.0b	(/.f64 (.f64 (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta beta))) (.f64 alpha (/.f64 (/.f64 alpha (+.f64 2 (+.f64 beta beta))) (+.f64 2 (+.f64 beta beta))))) alpha) 2)
	43.8b	(/.f64 (*.f64 (/.f64 1 alpha) (/.f64 -1 (/.f64 -1 (+.f64 2 (+.f64 beta beta))))) 2)
	43.8b	(/.f64 (*.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta))) 2)
	58.0b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
	53.2b	(/.f64 (neg.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 (pow.f64 alpha 2) (+.f64 (pow.f64 (+.f64 2 beta) 2) (.f64 beta (+.f64 2 beta)))))) 2)
▶	47.8b	(/.f64 (neg.f64 (-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))) 2)
✓	38.6b	(/.f64 2 2)
▶	35.7b	(/.f64 1 2)

Compiler

Compiled 620 to 482 computations (22.3% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 48 to 34 computations (29.2% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite109.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1822×	`rational.json-1`
1822×	`rational.json-2`
1822×	`rational.json-3`
1576×	`rational.json-simplify-35`
940×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	69
1	77	57
2	230	51
3	688	51
4	2436	51
5	6699	51

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

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

Outputs

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

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

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

simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1544×	`rational.json-simplify-35`
1190×	`rational.json-simplify-2`
1080×	`rational.json-simplify-51`
906×	`rational.json-simplify-53`
844×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	3633
1	571	3585
2	1979	3321
3	3991	3321
4	7226	3321

Stop Event

1×	node limit

Counts

165 → 164

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Compiler: Compiled 19 to 15 computations (21.1% saved)

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
✓	0.2b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)

Compiler

Compiled 50 to 38 computations (24% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`rational.json-1`
1554×	`rational.json-2`
1554×	`rational.json-4`
1554×	`rational.json-3`
1544×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	88	54
2	230	54
3	608	54
4	1739	54
5	4171	54
6	6755	54

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify130.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1832×	`rational.json-simplify-35`
1280×	`rational.json-simplify-2`
698×	`rational.json-simplify-1`
622×	`exponential.json-simplify-26`
528×	`rational.json-simplify-55`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	119	2590
1	232	2514
2	433	2514
3	790	2514
4	1715	2514
5	3995	2450
6	6945	2450

Stop Event

1×	node limit

Counts

102 → 78

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (/.f64 1 (pow.f64 alpha 2)))
✓	0.2b	(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
✓	0.4b	(/.f64 1 (pow.f64 alpha 2))

Compiler

Compiled 72 to 60 computations (16.7% saved)

series4.0ms (0%)

Counts

3 → 15

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	alpha	@	inf	(/.f64 1 (pow.f64 alpha 2))
0.0ms	alpha	@	0	(/.f64 1 (pow.f64 alpha 2))
0.0ms	alpha	@	-inf	(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))
0.0ms	alpha	@	0	(*.f64 4 (/.f64 1 (pow.f64 alpha 2)))
0.0ms	alpha	@	0	(-.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 2))) (.f64 2 (/.f64 1 alpha)))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`rational.json-1`
1124×	`rational.json-simplify-35`
1050×	`rational.json-simplify-61`
838×	`rational.json-2`
838×	`rational.json-4`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	90	69
2	195	69
3	393	69
4	886	63
5	2650	51
6	7575	51

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 2 alpha)) (*.f64 (/.f64 1 (pow.f64 alpha 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (pow.f64 alpha 2)) (-.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 3) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (pow.f64 alpha 2)) (neg.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (pow.f64 alpha 2)) (-.f64 (/.f64 2 (pow.f64 alpha 2)) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (-.f64 1 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 2 alpha)) (/.f64 4 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (-.f64 1 (/.f64 2 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 3) (-.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 (pow.f64 alpha 2)) (/.f64 1 alpha)) (-.f64 (/.f64 2 (pow.f64 alpha 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (/.f64 2 alpha)) (*.f64 (/.f64 1 (pow.f64 alpha 2)) 3)) (/.f64 1 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 2 alpha)) (*.f64 (/.f64 1 (pow.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 (pow.f64 alpha 2)) (/.f64 2 alpha)) (/.f64 2 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (/.f64 2 (pow.f64 alpha 2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1/2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (-.f64 (/.f64 2 (pow.f64 alpha 2)) (/.f64 1 alpha))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 4 (-.f64 (/.f64 2 (pow.f64 alpha 2)) (/.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 2 (/.f64 4 (pow.f64 alpha 2))) (/.f64 4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 2 (pow.f64 alpha 2)) (/.f64 1 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (/.f64 2 (pow.f64 alpha 2)) (/.f64 1 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) 8)) (*.f64 2 (*.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))) (neg.f64 (*.f64 2 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 2 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (pow.f64 alpha 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 (/.f64 1 (pow.f64 alpha 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (pow.f64 alpha 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 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)) 3) (/.f64 1 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (pow.f64 alpha 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 alpha 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (/.f64 4 (pow.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (pow.f64 alpha 2) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (pow.f64 alpha 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 1 (/.f64 4 (pow.f64 alpha 2))) (/.f64 1 (/.f64 4 (pow.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 alpha 2) (*.f64 (*.f64 (pow.f64 alpha 2) 1/2) (*.f64 (pow.f64 alpha 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (pow.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (pow.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 4 (pow.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 alpha 2) 4) (pow.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (pow.f64 alpha 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 alpha alpha) 2) (/.f64 (pow.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) 2) (*.f64 (pow.f64 alpha 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 16) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (*.f64 (pow.f64 alpha 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 alpha 2) 8) (*.f64 2 (pow.f64 (*.f64 alpha alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 (pow.f64 alpha 2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (*.f64 (pow.f64 alpha 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 alpha 2) 16) (*.f64 4 (pow.f64 (*.f64 alpha alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (neg.f64 (pow.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 alpha 2) 4)) (neg.f64 (pow.f64 (*.f64 alpha alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 4 (pow.f64 alpha 2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (pow.f64 alpha 2) 4))) (+.f64 (neg.f64 (pow.f64 (*.f64 alpha alpha) 2)) (neg.f64 (pow.f64 (*.f64 alpha alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.f64 1 (/.f64 4 (pow.f64 alpha 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 alpha 2) 8)) (-.f64 0 (*.f64 2 (pow.f64 (*.f64 alpha alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 2 (/.f64 1 (/.f64 4 (pow.f64 alpha 2)))) (/.f64 2 (/.f64 1 (/.f64 4 (pow.f64 alpha 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 4 (pow.f64 alpha 2)) 8)) (*.f64 2 (*.f64 (/.f64 4 (pow.f64 alpha 2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 alpha 2) 4))) (pow.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (pow.f64 alpha 2)) 1)))))

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1390×	`rational.json-simplify-2`
1140×	`rational.json-simplify-44`
1082×	`rational.json-simplify-51`
1074×	`rational.json-simplify-47`
802×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	3076
1	456	2350
2	1191	2146
3	5387	2146

Stop Event

1×	node limit

Counts

118 → 109

Calls

Call 1

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

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

eval168.0ms (0.8%)

Compiler: Compiled 6874 to 5470 computations (20.4% saved)

prune135.0ms (0.7%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	384	5	389
Fresh	2	9	11
Picked	1	0	1
Done	3	5	8
Total	390	19	409

Error

0.1b

Counts

409 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.8b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	47.1b	(/.f64 (/.f64 2 alpha) 2)
✓	42.6b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
▶	35.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	45.8b	(/.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)
✓	17.7b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	37.2b	(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (neg.f64 (+.f64 2 alpha))) 1) 2)
✓	19.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	38.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	41.5b	(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
	51.0b	(/.f64 (.f64 (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta beta))) (.f64 alpha (/.f64 (/.f64 alpha (+.f64 2 (+.f64 beta beta))) (+.f64 2 (+.f64 beta beta))))) alpha) 2)
	43.8b	(/.f64 (*.f64 (/.f64 1 alpha) (/.f64 -1 (/.f64 -1 (+.f64 2 (+.f64 beta beta))))) 2)
	43.8b	(/.f64 (*.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta))) 2)
	58.0b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
▶	47.8b	(/.f64 (neg.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 -2 alpha))) 2)
	47.8b	(/.f64 (neg.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (-.f64 (*.f64 (/.f64 1 (pow.f64 alpha 2)) 3) (/.f64 2 alpha)))) 2)
▶	19.1b	(/.f64 (neg.f64 (+.f64 (/.f64 -1 (/.f64 (+.f64 beta 2) beta)) -1)) 2)
✓	35.7b	(/.f64 1 2)
	38.6b	1

Compiler

Compiled 498 to 395 computations (20.7% saved)

localize63.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 beta 2) beta)
✓	0.0b	(+.f64 (/.f64 -1 (/.f64 (+.f64 beta 2) beta)) -1)
✓	0.1b	(/.f64 -1 (/.f64 (+.f64 beta 2) beta))

Compiler

Compiled 51 to 39 computations (23.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1788×	`rational.json-simplify-35`
1146×	`rational.json-1`
1146×	`rational.json-2`
1146×	`rational.json-4`
1146×	`rational.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	72	40
2	206	40
3	558	40
4	1799	40
5	4358	36

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

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

simplify128.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

994×	`rational.json-simplify-1`
992×	`rational.json-simplify-2`
932×	`rational.json-simplify-53`
788×	`rational.json-simplify-39`
634×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	2475
1	427	2209
2	1039	2191
3	3126	2191
4	5086	2191
5	7162	2191

Stop Event

1×	node limit

Counts

99 → 116

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 2 alpha) 2)

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1438×	`rational.json-1`
1438×	`rational.json-2`
1438×	`rational.json-4`
1438×	`rational.json-3`
1430×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	48	7
2	143	7
3	325	7
4	685	7
5	2091	7
6	5467	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1584×	`rational.json-simplify-51`
1560×	`rational.json-simplify-35`
982×	`rational.json-simplify-19`
902×	`rational.json-simplify-2`
746×	`rational.json-simplify-39`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	600
1	125	600
2	231	600
3	500	600
4	1999	594
5	5551	594

Stop Event

1×	node limit

Counts

48 → 40

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 alpha 2))
✓	2.6b	(-.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))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`rational.json-1`
1368×	`rational.json-2`
1368×	`rational.json-4`
1368×	`rational.json-3`
1360×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	63	32
2	158	32
3	365	32
4	925	32
5	3702	32

Stop Event

1×	node limit

Counts

2 → 103

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

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

simplify194.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1256×	`rational.json-simplify-2`
1074×	`rational.json-simplify-1`
862×	`rational.json-simplify-51`
736×	`rational.json-simplify-44`
696×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	229	2871
1	478	2851
2	1131	2803
3	3939	2731
4	7091	2719

Stop Event

1×	node limit

Counts

127 → 155

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

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

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 alpha beta) (neg.f64 (+.f64 2 alpha)))
✓	2.3b	(+.f64 (/.f64 (-.f64 alpha beta) (neg.f64 (+.f64 2 alpha))) 1)

Compiler

Compiled 46 to 28 computations (39.1% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`rational.json-1`
1454×	`rational.json-2`
1454×	`rational.json-3`
1452×	`rational.json-4`
1438×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	91	52
2	214	44
3	521	44
4	1443	44
5	4340	44

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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

simplify166.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1326×	`rational.json-simplify-2`
886×	`rational.json-simplify-35`
858×	`rational.json-simplify-43`
768×	`rational.json-simplify-41`
700×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	4159
1	563	4061
2	1113	4037
3	2632	3853
4	5839	3853
5	6541	3853
6	7793	3853

Stop Event

1×	node limit

Counts

133 → 201

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 -2 alpha))
✓	0.4b	(/.f64 4 (pow.f64 alpha 2))

Compiler

Compiled 48 to 38 computations (20.8% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite109.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2056×	`rational.json-1`
2056×	`rational.json-2`
1374×	`rational.json-simplify-35`
970×	`rational.json-4`
970×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	71	38
2	170	38
3	387	38
4	903	38
5	2723	38
6	7213	38

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

Inputs
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 -2 alpha))

Outputs

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

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

simplify187.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

966×	`rational.json-simplify-50`
928×	`rational.json-simplify-43`
862×	`rational.json-simplify-2`
812×	`rational.json-simplify-1`
788×	`rational.json-simplify-35`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	316	6415
1	867	5935
2	2739	5777
3	4705	5777
4	6553	5765
5	7643	5729

Stop Event

1×	node limit

Counts

145 → 166

Calls

Call 1

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

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

eval376.0ms (1.9%)

Compiler: Compiled 13658 to 10896 computations (20.2% saved)

prune300.0ms (1.5%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	708	8	716
Fresh	3	6	9
Picked	0	1	1
Done	2	7	9
Total	713	22	735

Error

0.1b

Counts

735 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	46.9b	(/.f64 (/.f64 (+.f64 beta 2) alpha) 2)
✓	43.8b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
	37.2b	(/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha 2)) -1) 2)
✓	42.6b	(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
✓	35.5b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
	37.1b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	17.7b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	47.2b	(/.f64 (+.f64 (/.f64 (-.f64 -2 beta) (neg.f64 alpha)) (+.f64 (.f64 2 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 2))) (.f64 -4 (/.f64 (-.f64 -2 beta) (pow.f64 alpha 3))))) 2)
✓	19.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	47.6b	(/.f64 (+.f64 (-.f64 (/.f64 2 alpha) (.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (.f64 8 (/.f64 1 (pow.f64 alpha 3)))) 2)
	38.4b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	41.5b	(/.f64 (+.f64 2 (neg.f64 (*.f64 2 (/.f64 alpha beta)))) 2)
	43.8b	(/.f64 (*.f64 (/.f64 1 alpha) (/.f64 -1 (/.f64 -1 (+.f64 2 (+.f64 beta beta))))) 2)
	43.8b	(/.f64 (*.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta))) 2)
	58.0b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
	53.0b	(/.f64 (neg.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 (neg.f64 alpha) (.f64 alpha (.f64 alpha 1/2))))) 2)
✓	47.8b	(/.f64 (neg.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (/.f64 -2 alpha))) 2)
✓	19.1b	(/.f64 (neg.f64 (+.f64 (/.f64 -1 (/.f64 (+.f64 beta 2) beta)) -1)) 2)
	53.1b	(/.f64 alpha (*.f64 alpha alpha))
	47.1b	(/.f64 1 alpha)
✓	35.7b	(/.f64 1 2)
	38.6b	1

Compiler

Compiled 268 to 219 computations (18.3% saved)

regimes145.0ms (0.7%)

Counts

37 → 2

Calls

Call 1

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

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

Calls

5 calls:

58.0ms	beta
39.0ms	alpha
20.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
4.4b	2	`alpha`
16.7b	3	`beta`
0.4b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.4b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.4b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 558 to 408 computations (26.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999970267323	-0.9999991169039869

Compiler

Compiled 20 to 15 computations (25% saved)

regimes120.0ms (0.6%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

5 calls:

39.0ms	beta
35.0ms	alpha
15.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
15.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

Error	Segments	Branch
4.4b	2	`alpha`
16.7b	3	`beta`
0.4b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.4b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.4b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 268 to 199 computations (25.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999970267323	-0.9999991169039869

Compiler

Compiled 20 to 15 computations (25% saved)

regimes83.0ms (0.4%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

52.0ms	beta
22.0ms	alpha

Results

Error	Segments	Branch
5.2b	2	`alpha`
17.0b	4	`beta`

Compiler

Compiled 173 to 134 computations (22.5% saved)

bsearch9.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	768082.2366237518	2264757.4036610536

Results

8.0ms

80×

body

256

valid

Compiler

Compiled 155 to 130 computations (16.1% saved)

regimes66.0ms (0.3%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	beta
22.0ms	alpha

Results

Error	Segments	Branch
5.2b	2	`alpha`
17.0b	4	`beta`

Compiler

Compiled 137 to 106 computations (22.6% saved)

bsearch9.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	768082.2366237518	2264757.4036610536

Results

8.0ms

80×

body

256

valid

Compiler

Compiled 140 to 115 computations (17.9% saved)

regimes51.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	beta
24.0ms	alpha

Results

Error	Segments	Branch
8.3b	2	`alpha`
17.4b	3	`beta`

Compiler

Compiled 86 to 68 computations (20.9% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	768082.2366237518	2264757.4036610536

Results

11.0ms

80×

body

256

valid

Compiler

Compiled 130 to 105 computations (19.2% saved)

regimes66.0ms (0.3%)

Counts

12 → 4

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	alpha
27.0ms	beta

Results

Error	Segments	Branch
18.6b	5	`alpha`
18.3b	4	`beta`

Compiler

Compiled 68 to 54 computations (20.6% saved)

bsearch68.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
23.0ms	1.1774788664059502e-5	772.4413691135774
20.0ms	2.256023454655617e-132	1.6836868588959684e-129
25.0ms	6.433023520902275e-204	1.2642454823295808e-197

Results

31.0ms	288×	body	256	valid
22.0ms	86×	body	1024	valid
6.0ms	38×	body	512	valid
1.0ms	4×	body	2048	valid

Compiler

Compiled 436 to 388 computations (11% saved)

regimes57.0ms (0.3%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	alpha
23.0ms	beta

Results

Error	Segments	Branch
19.1b	5	`alpha`
18.5b	4	`beta`

Compiler

Compiled 54 to 43 computations (20.4% saved)

bsearch124.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
24.0ms	1.1774788664059502e-5	772.4413691135774
75.0ms	2.256023454655617e-132	1.6836868588959684e-129
25.0ms	6.433023520902275e-204	1.2642454823295808e-197

Results

90.0ms	291×	body	256	valid
18.0ms	79×	body	1024	valid
6.0ms	39×	body	512	valid
2.0ms	7×	body	2048	valid

Compiler

Compiled 382 to 343 computations (10.2% saved)

regimes94.0ms (0.5%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

2 calls:

59.0ms	beta
33.0ms	alpha

Results

Error	Segments	Branch
19.2b	5	`alpha`
18.6b	4	`beta`

Compiler

Compiled 40 to 31 computations (22.5% saved)

bsearch66.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
22.0ms	1.1774788664059502e-5	772.4413691135774
21.0ms	2.256023454655617e-132	1.6836868588959684e-129
22.0ms	6.433023520902275e-204	1.2642454823295808e-197

Results

35.0ms	299×	body	256	valid
14.0ms	62×	body	1024	valid
9.0ms	47×	body	512	valid
2.0ms	8×	body	2048	valid

Compiler

Compiled 314 to 292 computations (7% saved)

regimes81.0ms (0.4%)

Accuracy

Total -34.8b remaining (-176.5%)

Threshold costs -34.8b (-176.5%)

Counts

2 → 2

Calls

Call 1

Inputs
1
(/.f64 1 2)

Outputs
(/.f64 1 2)
1

Calls

2 calls:

13.0ms	alpha
5.0ms	beta

Results

Error	Segments	Branch
29.5b	4	`alpha`
19.7b	2	`beta`

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch23.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	1.1774788664059502e-5	772.4413691135774

Results

13.0ms	105×	body	256	valid
6.0ms	24×	body	1024	valid
2.0ms	13×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 110 to 105 computations (4.5% saved)

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	572

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha beta)) (-.f64 beta alpha))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 2200000) (/.f64 (neg.f64 (+.f64 (/.f64 -1 (/.f64 (+.f64 beta 2) beta)) -1)) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 2200000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 1950000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta 6480891409144835/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (/.f64 1 2) (if (<=.f64 beta 1878043927870101/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 5521038642265173/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128) (/.f64 1 2) (if (<=.f64 beta 7352342185704225/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) 1)))
(if (<=.f64 beta 5515652263101987/22062609052407949194914912829723655182432452436340449411589077584864795549696863280514640007775234351335139574205343723266588256764674929278332446003804266456490594464708719691973688066349246310341854370928394768482304) (/.f64 1 2) (if (<=.f64 beta 7352342185704225/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 1 2) 1)))
(if (<=.f64 beta 2) (/.f64 1 2) 1)
1

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha beta)) (-.f64 beta alpha))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9007194751141365/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 2200000) (/.f64 (neg.f64 (+.f64 (/.f64 -1 (/.f64 (+.f64 beta 2) beta)) -1)) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 2200000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 1950000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(if (<=.f64 beta 6480891409144835/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) (/.f64 1 2) (if (<=.f64 beta 1878043927870101/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 6480891409144835/689456532887748412341091025928864224451014138635639044112158674527024860928026977516082500242976073479223111693916991352080883023896091539947888937618883326765331077022147490374177752073413947198182949091512336515072) 1/2 (if (<=.f64 beta 1878043927870101/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta 5521038642265173/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128) (/.f64 1 2) (if (<=.f64 beta 7352342185704225/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) 1)))
(if (<=.f64 beta 5521038642265173/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128) 1/2 (if (<=.f64 beta 7352342185704225/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) 1)))
(if (<=.f64 beta 5515652263101987/22062609052407949194914912829723655182432452436340449411589077584864795549696863280514640007775234351335139574205343723266588256764674929278332446003804266456490594464708719691973688066349246310341854370928394768482304) (/.f64 1 2) (if (<=.f64 beta 7352342185704225/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (/.f64 1 alpha) (if (<=.f64 beta 2) (/.f64 1 2) 1)))
(if (<=.f64 beta 5515652263101987/22062609052407949194914912829723655182432452436340449411589077584864795549696863280514640007775234351335139574205343723266588256764674929278332446003804266456490594464708719691973688066349246310341854370928394768482304) 1/2 (if (<=.f64 beta 7352342185704225/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (/.f64 1 alpha) (if (<=.f64 beta 2) 1/2 1)))
(if (<=.f64 beta 2) (/.f64 1 2) 1)
(if (<=.f64 beta 2) 1/2 1)
1

Compiler

Compiled 242 to 183 computations (24.4% saved)

soundness2.7s (13.7%)

Algorithm

3×	egg-herbie

Rules

11766×	`rational.json-simplify-41`
11766×	`rational.json-simplify-41`
1500×	`rational.json-simplify-1`
1500×	`rational.json-simplify-1`
1162×	`rational.json-simplify-35`

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
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
0	418	8468
1	1029	8260
2	2260	7902
3	6943	7730

Stop Event

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

Compiler

Compiled 397 to 232 computations (41.6% saved)

end192.0ms (1%)

Compiler: Compiled 224 to 163 computations (27.2% saved)