Details

analyze36.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.9s (13.4%)

Results

1.3s	6458×	body	256	valid
416.0ms	1076×	body	1024	valid
170.0ms	630×	body	512	valid
42.0ms	92×	body	2048	valid

Bogosity

preprocess6.4s (44.9%)

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 (8.9%)

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

14.9b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.9b	(/.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))
✓	1.7b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series8.0ms (0.1%)

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	beta	@	inf	(+.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))

rewrite90.0ms (0.6%)

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)))))))))

simplify206.0ms (1.4%)

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)))

eval197.0ms (1.4%)

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

prune82.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	297	7	304
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	297	8	305

Error

0.0b

Counts

305 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.9b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	29.4b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	14.9b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	15.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	46.7b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
▶	61.7b	(/.f64 (+.f64 -1 1) 2)
	46.9b	(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
▶	41.1b	(/.f64 2 2)

Compiler

Compiled 159 to 133 computations (16.4% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`rational.json-1`
1296×	`rational.json-2`
1296×	`rational.json-4`
1296×	`rational.json-3`
1288×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	42	13
2	116	13
3	299	13
4	806	13
5	3442	13

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

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

Outputs

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

simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1458×	`rational.json-simplify-53`
948×	`rational.json-simplify-2`
838×	`rational.json-simplify-54`
778×	`rational.json-simplify-1`
640×	`rational.json-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	167	2272
1	343	2260
2	854	2056
3	3243	2008
4	5588	1738

Stop Event

1×	node limit

Counts

82 → 111

Calls

Call 1

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

Outputs
(*.f64 1/2 beta)
(+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (.f64 -1/16 (pow.f64 beta 4)) (+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/8 (pow.f64 beta 3)))))
(+.f64 (.f64 1/2 beta) (+.f64 (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/8 (pow.f64 beta 3))) (.f64 -1/16 (pow.f64 beta 4))))
(+.f64 (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (.f64 1/8 (pow.f64 beta 3))) (+.f64 (.f64 -1/16 (pow.f64 beta 4)) (.f64 1/2 beta)))
(+.f64 (.f64 1/2 beta) (+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (.f64 -1/16 (pow.f64 beta 4)))))
(+.f64 (+.f64 (.f64 1/2 beta) (.f64 -1/4 (pow.f64 beta 2))) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (.f64 -1/16 (pow.f64 beta 4))))
(+.f64 (.f64 -1/4 (pow.f64 beta 2)) (+.f64 (.f64 1/2 beta) (+.f64 (.f64 1/8 (pow.f64 beta 3)) (.f64 -1/16 (pow.f64 beta 4)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(-.f64 (+.f64 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (.f64 2 (/.f64 1 beta)))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (-.f64 1 (.f64 2 (/.f64 1 beta))))
(+.f64 1 (-.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (.f64 2 (/.f64 1 beta))))
(+.f64 1 (-.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 2))) (/.f64 2 beta)))
(+.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.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 1 (.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 1 (-.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 2 (/.f64 1 beta)) (*.f64 8 (/.f64 1 (pow.f64 beta 3))))))
(+.f64 1 (-.f64 (.f64 4 (/.f64 1 (pow.f64 beta 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 3))) (/.f64 2 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
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localize3.0ms (0%)

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

localize5.0ms (0%)

Compiler: Compiled 13 to 13 computations (0% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 alpha (+.f64 alpha 2))
✓	0.8b	(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite91.0ms (0.6%)

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))))))))

simplify123.0ms (0.9%)

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

localize21.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series7.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	alpha	@	0	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms	beta	@	0	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms	beta	@	inf	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms	alpha	@	-inf	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
0.0ms	alpha	@	inf	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)

rewrite75.0ms (0.5%)

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))))))))

simplify132.0ms (0.9%)

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)))

eval133.0ms (0.9%)

Compiler: Compiled 6207 to 4769 computations (23.2% saved)

prune73.0ms (0.5%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	358	6	364
Fresh	1	1	2
Picked	0	1	1
Done	1	4	5
Total	360	12	372

Error

0.0b

Counts

372 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.9b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
▶	49.6b	(/.f64 (/.f64 2 alpha) 2)
✓	29.4b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
▶	30.3b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	14.9b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	15.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	31.6b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
	46.7b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
	46.9b	(/.f64 (*.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta))) 2)
▶	59.1b	(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
✓	41.1b	(/.f64 2 2)
▶	29.6b	(/.f64 1 2)

Compiler

Compiled 185 to 155 computations (16.2% saved)

localize4.0ms (0%)

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

localize5.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`rational.json-1`
1422×	`rational.json-2`
1422×	`rational.json-4`
1422×	`rational.json-3`
1416×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	60	20
2	156	20
3	381	20
4	1114	20
5	4024	20

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

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

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

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1372×	`rational.json-simplify-2`
1090×	`rational.json-simplify-35`
918×	`rational.json-simplify-59`
774×	`rational.json-simplify-61`
738×	`rational.json-simplify-39`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	301	2475
1	1031	1957
2	4059	1957
3	6302	1957

Stop Event

1×	node limit

Counts

181 → 174

Calls

Call 1

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

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

localize8.0ms (0.1%)

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

localize9.0ms (0.1%)

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

eval39.0ms (0.3%)

Compiler: Compiled 1906 to 1037 computations (45.6% saved)

prune31.0ms (0.2%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	0	2	2
Picked	0	1	1
Done	1	8	9
Total	173	13	186

Error

0.0b

Counts

186 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.1b	(/.f64 (/.f64 (/.f64 4 alpha) (/.f64 2 beta)) 2)
✓	46.9b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	49.6b	(/.f64 (/.f64 2 alpha) 2)
✓	29.4b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	30.3b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	14.9b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	15.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	31.6b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
▶	46.7b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
▶	46.9b	(/.f64 (*.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta))) 2)
▶	59.1b	(/.f64 beta alpha)
✓	41.1b	(/.f64 2 2)
✓	29.6b	(/.f64 1 2)

Compiler

Compiled 126 to 104 computations (17.5% saved)

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1426×	`rational.json-1`
1426×	`rational.json-2`
1426×	`rational.json-4`
1426×	`rational.json-3`
1408×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	78	19
2	173	19
3	347	19
4	813	19
5	2523	19
6	6085	19

Stop Event

1×	node limit

Counts

1 → 67

Calls

Call 1

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

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

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1334×	`rational.json-simplify-35`
1250×	`rational.json-simplify-51`
1244×	`rational.json-simplify-2`
1204×	`rational.json-simplify-61`
1018×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	175	1813
1	552	1759
2	1552	1759
3	4952	1759

Stop Event

1×	node limit

Counts

91 → 73

Calls

Call 1

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

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

localize22.0ms (0.2%)

Compiler: Compiled 50 to 38 computations (24% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 (/.f64 4 alpha) (/.f64 2 beta)) 2)
✓	0.3b	(/.f64 (/.f64 4 alpha) (/.f64 2 beta))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`rational.json-simplify-35`
994×	`rational.json-1`
994×	`rational.json-2`
994×	`rational.json-4`
994×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	84	20
2	326	20
3	1279	20
4	3871	20

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

Inputs
(/.f64 (/.f64 4 alpha) (/.f64 2 beta))
(/.f64 (/.f64 (/.f64 4 alpha) (/.f64 2 beta)) 2)

Outputs

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

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

simplify186.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1804×	`rational.json-simplify-35`
1144×	`rational.json-simplify-2`
1040×	`rational.json-simplify-1`
900×	`rational.json-simplify-53`
676×	`exponential.json-simplify-26`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	204	2072
1	456	2012
2	1043	2000
3	2637	2000
4	4755	1988
5	6585	1988
6	7681	1988

Stop Event

1×	node limit

Counts

164 → 142

Calls

Call 1

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

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

eval51.0ms (0.4%)

Compiler: Compiled 2487 to 1746 computations (29.8% saved)

prune39.0ms (0.3%)

Pruning

13 alts after pruning (0 fresh and 13 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	0	0
Picked	0	1	1
Done	0	12	12
Total	215	13	228

Error

0.0b

Counts

228 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.1b	(/.f64 (/.f64 (/.f64 4 alpha) (/.f64 2 beta)) 2)
✓	46.9b	(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
✓	49.6b	(/.f64 (/.f64 2 alpha) 2)
✓	29.4b	(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
✓	30.3b	(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
✓	14.9b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	15.9b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	31.6b	(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
✓	46.7b	(/.f64 (+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
✓	46.9b	(/.f64 (*.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta))) 2)
✓	59.1b	(/.f64 beta alpha)
✓	41.1b	(/.f64 2 2)
✓	29.6b	(/.f64 1 2)

Compiler

Compiled 126 to 104 computations (17.5% saved)

regimes54.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	alpha
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
11.0ms	beta
7.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
4.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Results

Error	Segments	Branch
2.0b	2	`alpha`
14.9b	1	`beta`
0.0b	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.0b	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.0b	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 183 to 136 computations (25.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.9283460948084618

Compiler

Compiled 20 to 15 computations (25% saved)

regimes30.0ms (0.2%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	alpha
7.0ms	beta

Results

Error	Segments	Branch
2.6b	2	`alpha`
15.9b	1	`beta`

Compiler

Compiled 118 to 92 computations (22% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	1115.842538723873	1.4409172814499943e+20

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 280 to 225 computations (19.6% saved)

regimes27.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta 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 (/.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 (/.f64 4 alpha) (/.f64 2 beta)) 2)

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

Calls

2 calls:

15.0ms	alpha
7.0ms	beta

Results

Error	Segments	Branch
2.6b	2	`alpha`
15.9b	1	`beta`

Compiler

Compiled 84 to 66 computations (21.4% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	1115.842538723873	1.4409172814499943e+20

Results

20.0ms

160×

body

256

valid

Compiler

Compiled 260 to 215 computations (17.3% saved)

regimes20.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

Calls

2 calls:

12.0ms	alpha
6.0ms	beta

Results

Error	Segments	Branch
5.5b	2	`alpha`
15.9b	1	`beta`

Compiler

Compiled 66 to 52 computations (21.2% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	1115.842538723873	1.4409172814499943e+20

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 220 to 185 computations (15.9% saved)

regimes96.0ms (0.7%)

Counts

8 → 6

Calls

Call 1

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

Calls

2 calls:

62.0ms	beta
32.0ms	alpha

Results

Error	Segments	Branch
15.4b	6	`alpha`
16.2b	2	`beta`

Compiler

Compiled 48 to 38 computations (20.8% saved)

bsearch120.0ms (0.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
20.0ms	1.1281260742094925e-5	1115.842538723873
9.0ms	8.733708906736387e-255	1.6856060062808264e-254
58.0ms	3.9701856486825985e-296	8.982932729217782e-290
14.0ms	-4.481930794200534e-69	-2.2530405173532688e-70
19.0ms	-1.9750669946213095e-58	-3.7912396151168236e-64

Results

112.0ms

608×

body

256

valid

Compiler

Compiled 582 to 546 computations (6.2% saved)

regimes43.0ms (0.3%)

Counts

7 → 6

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	alpha
10.0ms	beta

Results

Error	Segments	Branch
15.6b	6	`alpha`
16.2b	2	`beta`

Compiler

Compiled 41 to 32 computations (22% saved)

bsearch80.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
19.0ms	1115.842538723873	1.4409172814499943e+20
7.0ms	8.733708906736387e-255	1.6856060062808264e-254
22.0ms	3.9701856486825985e-296	8.982932729217782e-290
12.0ms	-4.481930794200534e-69	-2.2530405173532688e-70
20.0ms	-1.9750669946213095e-58	-3.7912396151168236e-64

Results

69.0ms

624×

body

256

valid

Compiler

Compiled 508 to 493 computations (3% saved)

regimes112.0ms (0.8%)

Accuracy

Total -45.9b remaining (-277.4%)

Threshold costs -45.9b (-277.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

100.0ms	alpha
9.0ms	beta

Results

Error	Segments	Branch
23.4b	7	`alpha`
16.5b	2	`beta`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.10639502426256144	14.869774828656517

Results

11.0ms	90×	body	256	valid
2.0ms	14×	body	512	valid
2.0ms	8×	body	1024	valid

Compiler

Compiled 104 to 99 computations (4.8% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	450

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 27000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2))
(if (<=.f64 alpha 5200000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 260000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha -3038384421587177/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -4322438285202247/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (/.f64 2 2) (if (<=.f64 alpha 4915567165639145/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768) (/.f64 1 2) (if (<=.f64 alpha 26827456659233/2063650512248692368563827284830142994214247367328599695812346519635444931862206482321942405811160890213571855442410658901884170154307365379884917884620857722298385484371113610034107490923540785363375909797699954703703235518560788042337487885808736236287260081631789056) (/.f64 2 2) (if (<=.f64 alpha 7566047373982433/9007199254740992) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))))))
(if (<=.f64 alpha -1408031805125765/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 1 2) (if (<=.f64 alpha -1068467890724151/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (/.f64 2 2) (if (<=.f64 alpha 3862231344430757/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096) (/.f64 1 2) (if (<=.f64 alpha 4754650780220987/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 2 2) (if (<=.f64 alpha 1150) (/.f64 1 2) (/.f64 (/.f64 2 alpha) 2))))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 27000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2))
(if (<=.f64 alpha 5200000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 260000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha -3038384421587177/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -4322438285202247/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (/.f64 2 2) (if (<=.f64 alpha 4915567165639145/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768) (/.f64 1 2) (if (<=.f64 alpha 26827456659233/2063650512248692368563827284830142994214247367328599695812346519635444931862206482321942405811160890213571855442410658901884170154307365379884917884620857722298385484371113610034107490923540785363375909797699954703703235518560788042337487885808736236287260081631789056) (/.f64 2 2) (if (<=.f64 alpha 7566047373982433/9007199254740992) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))))))
(if (<=.f64 alpha -3038384421587177/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (if (<=.f64 alpha -4322438285202247/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) 1 (if (<=.f64 alpha 4915567165639145/351111940402796075728379920075981393284761128699669252487168127261196632432619068618571244770327218791250222421623815151677323767215657465806342637967722899175327916845440400930277772658683777577056802640791026892262013051450122815378736544025053197584668966180832613749896964723593195907881555331297312768) 1/2 (if (<=.f64 alpha 26827456659233/2063650512248692368563827284830142994214247367328599695812346519635444931862206482321942405811160890213571855442410658901884170154307365379884917884620857722298385484371113610034107490923540785363375909797699954703703235518560788042337487885808736236287260081631789056) 1 (if (<=.f64 alpha 7566047373982433/9007199254740992) (/.f64 (-.f64 1 (.f64 alpha 1/2)) 2) (/.f64 (/.f64 2 alpha) 2))))))
(if (<=.f64 alpha -1408031805125765/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (/.f64 1 2) (if (<=.f64 alpha -1068467890724151/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (/.f64 2 2) (if (<=.f64 alpha 3862231344430757/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096) (/.f64 1 2) (if (<=.f64 alpha 4754650780220987/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 2 2) (if (<=.f64 alpha 1150) (/.f64 1 2) (/.f64 (/.f64 2 alpha) 2))))))
(if (<=.f64 alpha -1408031805125765/3705346855594118253554271520278013051304639509300498049262642688253220148477952) 1/2 (if (<=.f64 alpha -1068467890724151/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) 1 (if (<=.f64 alpha 3862231344430757/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096) 1/2 (if (<=.f64 alpha 4754650780220987/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) 1 (if (<=.f64 alpha 1150) 1/2 (/.f64 (/.f64 2 alpha) 2))))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2

Compiler

Compiled 195 to 152 computations (22.1% saved)

soundness1.4s (9.7%)

Algorithm

2×	egg-herbie

Rules

11766×	`rational.json-simplify-41`
1500×	`rational.json-simplify-1`
1162×	`rational.json-simplify-35`
1028×	`rational.json-simplify-48`
958×	`rational.json-simplify-43`

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	418	8468
1	1029	8260
2	2260	7902
3	6943	7730

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 102 to 74 computations (27.5% saved)

end193.0ms (1.4%)

Compiler: Compiled 181 to 137 computations (24.3% saved)

Details

analyze36.0ms (0.3%)

sample1.9s (13.4%)

preprocess6.4s (44.9%)

simplify1.3s (8.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.1%)

series8.0ms (0.1%)

rewrite90.0ms (0.6%)

simplify206.0ms (1.4%)

eval197.0ms (1.4%)

prune82.0ms (0.6%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite79.0ms (0.6%)

simplify111.0ms (0.8%)

localize3.0ms (0%)

localize5.0ms (0%)

localize15.0ms (0.1%)

series1.0ms (0%)

rewrite91.0ms (0.6%)

simplify123.0ms (0.9%)

localize21.0ms (0.1%)

series7.0ms (0%)

rewrite75.0ms (0.5%)

simplify132.0ms (0.9%)

eval133.0ms (0.9%)

prune73.0ms (0.5%)

localize4.0ms (0%)

localize5.0ms (0%)

localize10.0ms (0.1%)

series3.0ms (0%)

rewrite81.0ms (0.6%)

simplify107.0ms (0.7%)

localize8.0ms (0.1%)

localize9.0ms (0.1%)

eval39.0ms (0.3%)

prune31.0ms (0.2%)

localize3.0ms (0%)

localize14.0ms (0.1%)

series1.0ms (0%)

rewrite89.0ms (0.6%)

simplify83.0ms (0.6%)

localize22.0ms (0.2%)

localize12.0ms (0.1%)

series1.0ms (0%)

rewrite64.0ms (0.5%)

simplify186.0ms (1.3%)

eval51.0ms (0.4%)

prune39.0ms (0.3%)

regimes54.0ms (0.4%)

bsearch0.0ms (0%)

regimes30.0ms (0.2%)

bsearch21.0ms (0.1%)

regimes27.0ms (0.2%)

bsearch22.0ms (0.2%)

regimes20.0ms (0.1%)

bsearch22.0ms (0.2%)

regimes96.0ms (0.7%)

bsearch120.0ms (0.8%)

regimes43.0ms (0.3%)

bsearch80.0ms (0.6%)

regimes112.0ms (0.8%)

bsearch16.0ms (0.1%)

simplify65.0ms (0.5%)

soundness1.4s (9.7%)

end193.0ms (1.4%)

Profiling