Details

analyze35.0ms (0.6%)

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)

sample1.4s (25.2%)

Results

807.0ms	6485×	body	256	valid
369.0ms	1067×	body	1024	valid
127.0ms	587×	body	512	valid
38.0ms	117×	body	2048	valid

Bogosity

preprocess74.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

3958×	`rational.json-simplify-34`
3426×	`rational.json-simplify-29`
1632×	`rational.json-simplify-32`
944×	`rational.json-simplify-1`
922×	`rational.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	29	74
2	50	74
3	83	74
4	139	74
5	242	74
6	392	74
7	916	74
8	1596	74
9	1963	74
10	2265	74
11	2452	74
12	2579	74
13	2601	74
14	2609	74
15	2611	74
16	2611	74
17	2611	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 alpha (+.f64 beta 2))) 1) 2)
(/.f64 (+.f64 beta (+.f64 beta 2)) (*.f64 2 (+.f64 (+.f64 beta alpha) 2)))
(/.f64 (+.f64 beta (+.f64 beta 2)) (*.f64 2 (+.f64 beta (+.f64 alpha 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 alpha (+.f64 beta 2)))) 2)
(/.f64 (+.f64 alpha (+.f64 alpha 2)) (*.f64 2 (+.f64 (+.f64 beta alpha) 2)))
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 alpha (+.f64 alpha 2)) (*.f64 2 (+.f64 beta (+.f64 alpha 2))))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify131.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3180×	`rational.json-simplify-29`
2280×	`rational.json-simplify-32`
2266×	`rational.json-simplify-33`
1510×	`rational.json-simplify-1`
944×	`rational.json-simplify-27`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	20	37
2	35	37
3	58	37
4	91	37
5	151	37
6	236	37
7	560	37
8	1154	37
9	1850	37
10	2244	37
11	2520	37
12	2666	37
13	2728	37
14	2763	37
15	2773	37
16	2782	37
17	2785	37
18	2785	37
19	3918	37
20	4871	37
21	5149	37
22	5200	37
23	5249	37
24	5270	37
25	5721	37
26	5724	37
27	5724	37
28	5726	37
29	5728	37
30	5728	37

Stop Event

1×	node limit

Counts

1 → 5

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

eval1.0ms (0%)

Compiler: Compiled 67 to 44 computations (34.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Error

0.0b

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	0.0b	(/.f64 (+.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) 2))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 25 computations (34.2% saved)

series7.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite8.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

48×	`rational.json-simplify-1`
38×	`bool.json-1`
34×	`rational.json-simplify-2`
32×	`rational.json-1`
32×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	52	63
2	95	63
3	113	63
4	119	63
5	125	63
6	126	63
7	127	63

Stop Event

1×

saturated

Counts

3 → 10

Calls

Call 1

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 beta 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 2 (+.f64 beta 1)) (*.f64 2 (+.f64 beta 1)))))))

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

simplify239.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1666×	`rational.json-simplify-31`
1034×	`rational.json-simplify-2`
496×	`rational.json-simplify-1`
422×	`rational.json-simplify-27`
312×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	133	3100
1	264	3028
2	412	3028
3	615	3028
4	907	3028
5	1222	3028
6	1378	3028
7	1454	3028
8	1524	3028
9	1600	3028
10	1686	3028
11	2083	3028
12	2213	3028
13	2234	3028
14	2252	3028
15	2272	3028
16	2292	3028
17	2310	3028
18	2330	3028
19	2350	3028
20	2368	3028
21	2388	3028
22	2805	3028
23	2862	3028

Stop Event

1×

saturated

Counts

70 → 78

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
✓	1.9b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)

Compiler

Compiled 50 to 23 computations (54% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite133.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4582×	`rational.json-simplify-33`
1954×	`bool.json-1`
1928×	`rational.json-1`
946×	`rational.json-2`
910×	`rational.json-simplify-29`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	55	56
2	111	56
3	182	56
4	237	56
5	316	56
6	428	56
7	551	56
8	811	56
9	1219	56
10	1672	56
11	2043	56
12	2309	56
13	2393	56
14	2428	56
15	2429	56
16	2429	56
17	2429	56
18	3600	56
19	4377	56
20	4445	56
21	4461	56
22	4465	56
23	4465	56
24	4676	56
25	4791	56
26	4801	56
27	4801	56
28	4801	56
29	4801	56
30	7484	56

Stop Event

1×	node limit

Counts

2 → 12

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

Outputs

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

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

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2000×	`rational.json-simplify-9`
1806×	`rational.json-simplify-27`
1726×	`rational.json-simplify-41`
1380×	`rational.json-simplify-40`
1030×	`rational.json-simplify-33`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	242	4788
1	587	4642
2	1279	4624
3	3409	4490
4	7197	4472

Stop Event

1×	node limit

Counts

60 → 202

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

eval514.0ms (9.6%)

Compiler: Compiled 10823 to 8469 computations (21.7% saved)

prune55.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	271	9	280
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	272	10	282

Error

Counts

282 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 alpha (+.f64 2 beta))) 2)
▶	46.9b	(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2)
✓	14.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
	16.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
	16.1b	(/.f64 (+.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) 2))
▶	17.7b	(/.f64 (+.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 2 alpha) 2))
	42.3b	(/.f64 (.f64 2 beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 2))
▶	18.5b	(/.f64 1 (+.f64 2 alpha))
▶	17.3b	(+.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 beta (.f64 1/2 (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))
	40.2b	1

Compiler

Compiled 242 to 192 computations (20.7% saved)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 45 to 25 computations (44.4% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite7.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

46×	`rational.json-simplify-1`
36×	`bool.json-1`
30×	`rational.json-1`
30×	`rational.json-2`
30×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	50	44
2	90	44
3	106	44
4	112	44
5	118	44
6	119	44
7	120	44

Stop Event

1×

saturated

Counts

2 → 6

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 2 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))))))

simplify326.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

2372×	`rational.json-simplify-27`
1996×	`rational.json-simplify-41`
1426×	`rational.json-simplify-1`
1378×	`rational.json-simplify-31`
1306×	`rational.json-simplify-40`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	2916
1	285	2880
2	503	2880
3	982	2874
4	1971	2874
5	2963	2874
6	3948	2874
7	4352	2874
8	4584	2874
9	4804	2874
10	5027	2874
11	5258	2874
12	5841	2874
13	6092	2874
14	6245	2874
15	6401	2874
16	6564	2874
17	6721	2874
18	6881	2874
19	6927	2874
20	6957	2874
21	6959	2874
22	6960	2874
23	7155	2874
24	7163	2874
25	7181	2874
26	7202	2874
27	7211	2874
28	7211	2874
29	7262	2874
30	7272	2874

Stop Event

1×

saturated

Counts

54 → 89

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	0	(/.f64 1 (+.f64 2 alpha))
0.0ms	alpha	@	inf	(/.f64 1 (+.f64 2 alpha))
0.0ms	alpha	@	-inf	(/.f64 1 (+.f64 2 alpha))

rewrite5.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

20×	`bool.json-1`
16×	`rational.json-simplify-1`
14×	`rational.json-1`
14×	`rational.json-2`
14×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	32	13
2	51	13
3	56	13

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

358×	`rational.json-simplify-27`
352×	`rational.json-simplify-29`
296×	`rational.json-simplify-1`
280×	`rational.json-simplify-41`
276×	`rational.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	514
1	73	514
2	125	514
3	236	514
4	486	514
5	926	514
6	1480	514
7	1661	514
8	1788	514
9	1816	514
10	1819	514

Stop Event

1×

saturated

Counts

16 → 27

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 14 computations (51.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite8.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

30×	`rational.json-simplify-1`
28×	`bool.json-1`
24×	`rational.json-simplify-2`
22×	`rational.json-1`
22×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	39	19
2	72	19
3	81	19
4	83	19
5	89	19
6	90	19
7	91	19

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`rational.json-simplify-1`
10×	`rational.json-simplify-2`
2×	`rational.json-simplify-19`
2×	`rational.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	640
1	33	640
2	37	640

Stop Event

1×

saturated

Counts

28 → 8

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 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 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 0)
(+.f64 0 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)
(*.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))

Outputs
(/.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 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 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 0)
(+.f64 0 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(+.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 0)
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)
(*.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(*.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 22 computations (31.3% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite9.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

36×	`rational.json-simplify-1`
32×	`bool.json-1`
30×	`rational.json-simplify-2`
26×	`rational.json-1`
26×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	50	31
2	86	31
3	95	31
4	97	31
5	103	31
6	104	31
7	105	31

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

Outputs

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

simplify25.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

174×	`rational.json-simplify-2`
114×	`rational.json-simplify-1`
104×	`rational.json-simplify-31`
68×	`rational.json-simplify-33`
2×	`rational.json-simplify-19`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	1372
1	101	1348
2	154	1312
3	245	1312
4	316	1312
5	332	1312

Stop Event

1×

saturated

Counts

28 → 33

Calls

Call 1

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

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

localize48.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 2 alpha) 2)
✓	0.0b	(-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
✓	0.1b	(.f64 beta (.f64 1/2 (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
✓	0.2b	(/.f64 1 (pow.f64 (+.f64 2 alpha) 2))

Compiler

Compiled 127 to 108 computations (15% saved)

series7.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	-inf	(.f64 beta (.f64 1/2 (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
2.0ms	beta	@	0	(.f64 beta (.f64 1/2 (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
1.0ms	beta	@	inf	(.f64 beta (.f64 1/2 (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
0.0ms	alpha	@	0	(.f64 beta (.f64 1/2 (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
0.0ms	alpha	@	inf	(.f64 beta (.f64 1/2 (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))

rewrite17.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

184×	`rational.json-simplify-31`
174×	`rational.json-simplify-2`
116×	`bool.json-1`
102×	`rational.json-1`
102×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	142
1	79	142
2	142	142
3	201	142
4	250	142
5	328	142
6	403	142
7	479	142

Stop Event

1×

saturated

Counts

4 → 21

Calls

Call 1

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

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

simplify153.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

810×	`rational.json-simplify-27`
778×	`rational.json-simplify-1`
768×	`rational.json-simplify-29`
726×	`rational.json-simplify-31`
690×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	3255
1	259	3255
2	431	3255
3	719	3255
4	1264	3255
5	2153	3255
6	3298	3255
7	3762	3255
8	3877	3255
9	3939	3255
10	4011	3255
11	4050	3255
12	4097	3255
13	4311	3255
14	4357	3255

Stop Event

1×

saturated

Counts

81 → 121

Calls

Call 1

Inputs
1/4
(+.f64 1/4 (*.f64 -1/4 alpha))
(+.f64 (.f64 3/16 (pow.f64 alpha 2)) (+.f64 1/4 (.f64 -1/4 alpha)))
(+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 (.f64 3/16 (pow.f64 alpha 2)) (+.f64 1/4 (*.f64 -1/4 alpha))))
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 32 (/.f64 1 (pow.f64 alpha 5)))))
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 32 (/.f64 1 (pow.f64 alpha 5)))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(*.f64 1/4 beta)
(+.f64 (.f64 -1/16 (.f64 beta (pow.f64 alpha 2))) (*.f64 1/4 beta))
(+.f64 (.f64 -1/16 (.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 1/16 (.f64 beta (pow.f64 alpha 3))) (*.f64 1/4 beta)))
(+.f64 (.f64 -1/16 (.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 1/16 (.f64 beta (pow.f64 alpha 3))) (+.f64 (.f64 1/4 beta) (.f64 -3/64 (*.f64 beta (pow.f64 alpha 4))))))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 -3 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (.f64 8 (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 -20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (*.f64 8 (/.f64 beta (pow.f64 alpha 3))))))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 -3 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (.f64 8 (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 -20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (*.f64 8 (/.f64 beta (pow.f64 alpha 3))))))
1/2
(+.f64 1/2 (*.f64 -1/8 (pow.f64 alpha 2)))
(+.f64 1/2 (+.f64 (.f64 -1/8 (pow.f64 alpha 2)) (.f64 1/8 (pow.f64 alpha 3))))
(+.f64 (.f64 -3/32 (pow.f64 alpha 4)) (+.f64 1/2 (+.f64 (.f64 -1/8 (pow.f64 alpha 2)) (*.f64 1/8 (pow.f64 alpha 3)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 40 (/.f64 1 (pow.f64 alpha 4))) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 40 (/.f64 1 (pow.f64 alpha 4))) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
4
(+.f64 4 (*.f64 4 alpha))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) 0)
(+.f64 0 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))
(*.f64 1 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) 1)
(.f64 -1 (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -1))
(.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -1) -1)
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2)) beta)) 0)
(+.f64 0 (.f64 1/2 (.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2)) beta)))
(+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2))
(+.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2)) 0)
(+.f64 0 (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2)))
(+.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2) (.f64 2 (/.f64 1 (+.f64 2 alpha))))
(.f64 1 (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2)))
(.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2)) 1)
(.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (/.f64 1 (+.f64 2 alpha)) -2)) -1)
(.f64 -1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (/.f64 1 (+.f64 2 alpha)) -2)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 (/.f64 1 (+.f64 2 alpha)) -2)))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) 0)
(+.f64 0 (pow.f64 (+.f64 2 alpha) 2))
(*.f64 1 (pow.f64 (+.f64 2 alpha) 2))
(*.f64 (pow.f64 (+.f64 2 alpha) 2) 1)

Outputs
1/4
(+.f64 1/4 (*.f64 -1/4 alpha))
(+.f64 (.f64 3/16 (pow.f64 alpha 2)) (+.f64 1/4 (.f64 -1/4 alpha)))
(+.f64 (+.f64 (.f64 3/16 (pow.f64 alpha 2)) 1/4) (.f64 -1/4 alpha))
(+.f64 (.f64 -1/4 alpha) (+.f64 1/4 (.f64 3/16 (pow.f64 alpha 2))))
(+.f64 1/4 (+.f64 (.f64 -1/4 alpha) (.f64 3/16 (pow.f64 alpha 2))))
(+.f64 (.f64 -1/8 (pow.f64 alpha 3)) (+.f64 (.f64 3/16 (pow.f64 alpha 2)) (+.f64 1/4 (*.f64 -1/4 alpha))))
(+.f64 (+.f64 (+.f64 (.f64 3/16 (pow.f64 alpha 2)) 1/4) (.f64 -1/4 alpha)) (*.f64 -1/8 (pow.f64 alpha 3)))
(+.f64 (+.f64 1/4 (.f64 -1/4 alpha)) (+.f64 (.f64 3/16 (pow.f64 alpha 2)) (*.f64 -1/8 (pow.f64 alpha 3))))
(+.f64 1/4 (+.f64 (.f64 -1/4 alpha) (+.f64 (.f64 3/16 (pow.f64 alpha 2)) (*.f64 -1/8 (pow.f64 alpha 3)))))
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 (/.f64 1 (pow.f64 alpha 3)) -4))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 12 (/.f64 1 (pow.f64 alpha 4)))) (.f64 4 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 12 (/.f64 1 (pow.f64 alpha 4))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (.f64 (/.f64 1 (pow.f64 alpha 3)) -4)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 32 (/.f64 1 (pow.f64 alpha 5)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 12 (/.f64 1 (pow.f64 alpha 4)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 32 (/.f64 1 (pow.f64 alpha 5)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 12 (/.f64 1 (pow.f64 alpha 4)))) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 32 (/.f64 1 (pow.f64 alpha 5))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (-.f64 (-.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (.f64 32 (/.f64 1 (pow.f64 alpha 5)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (.f64 (/.f64 1 (pow.f64 alpha 5)) -32)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 3)) -4) (*.f64 32 (/.f64 1 (pow.f64 alpha 5))))))
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 (/.f64 1 (pow.f64 alpha 3)) -4))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (.f64 4 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 12 (/.f64 1 (pow.f64 alpha 4)))) (.f64 4 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (.f64 12 (/.f64 1 (pow.f64 alpha 4))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (.f64 (/.f64 1 (pow.f64 alpha 3)) -4)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 32 (/.f64 1 (pow.f64 alpha 5)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 12 (/.f64 1 (pow.f64 alpha 4)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 3))) (*.f64 32 (/.f64 1 (pow.f64 alpha 5)))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 12 (/.f64 1 (pow.f64 alpha 4)))) (.f64 4 (/.f64 1 (pow.f64 alpha 3)))) (*.f64 32 (/.f64 1 (pow.f64 alpha 5))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (-.f64 (-.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (.f64 32 (/.f64 1 (pow.f64 alpha 5)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (.f64 (/.f64 1 (pow.f64 alpha 5)) -32)) (*.f64 4 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 12 (/.f64 1 (pow.f64 alpha 4))) (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 3)) -4) (*.f64 32 (/.f64 1 (pow.f64 alpha 5))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))
(.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 1/2 beta))
(.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))
(.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 1/2 beta))
(.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))
(.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 1/2 beta))
(.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))
(.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 1/2 beta))
(.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))
(.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 1/2 beta))
(.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))
(.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 1/2 beta))
(.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))
(.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 1/2 beta))
(.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))
(.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 1/2 beta))
(.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))
(.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 1/2 beta))
(.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))
(.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 1/2 beta))
(.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))
(.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 1/2 beta))
(.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(.f64 1/2 (.f64 beta (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))))
(.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))) (.f64 1/2 beta))
(.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))))
(*.f64 1/4 beta)
(+.f64 (.f64 -1/16 (.f64 beta (pow.f64 alpha 2))) (*.f64 1/4 beta))
(+.f64 (.f64 1/4 beta) (.f64 beta (*.f64 -1/16 (pow.f64 alpha 2))))
(+.f64 (.f64 1/4 beta) (.f64 (pow.f64 alpha 2) (*.f64 -1/16 beta)))
(+.f64 (.f64 1/4 beta) (.f64 beta (*.f64 (pow.f64 alpha 2) -1/16)))
(+.f64 (.f64 1/4 beta) (.f64 (pow.f64 alpha 2) (*.f64 beta -1/16)))
(+.f64 (.f64 -1/16 (.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 1/16 (.f64 beta (pow.f64 alpha 3))) (*.f64 1/4 beta)))
(+.f64 (.f64 beta (.f64 -1/16 (pow.f64 alpha 2))) (+.f64 (.f64 1/4 beta) (.f64 beta (*.f64 1/16 (pow.f64 alpha 3)))))
(+.f64 (.f64 1/4 beta) (+.f64 (.f64 (pow.f64 alpha 2) (.f64 -1/16 beta)) (.f64 (pow.f64 alpha 3) (*.f64 1/16 beta))))
(+.f64 (.f64 1/4 beta) (+.f64 (.f64 beta (.f64 (pow.f64 alpha 2) -1/16)) (.f64 (pow.f64 alpha 3) (*.f64 beta 1/16))))
(+.f64 (+.f64 (.f64 1/4 beta) (.f64 (pow.f64 alpha 2) (.f64 beta -1/16))) (.f64 (pow.f64 alpha 3) (*.f64 beta 1/16)))
(+.f64 (.f64 -1/16 (.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 1/16 (.f64 beta (pow.f64 alpha 3))) (+.f64 (.f64 1/4 beta) (.f64 -3/64 (*.f64 beta (pow.f64 alpha 4))))))
(+.f64 (.f64 beta (.f64 -1/16 (pow.f64 alpha 2))) (+.f64 (.f64 beta (.f64 1/16 (pow.f64 alpha 3))) (+.f64 (.f64 1/4 beta) (.f64 beta (*.f64 -3/64 (pow.f64 alpha 4))))))
(+.f64 (.f64 (pow.f64 alpha 2) (.f64 -1/16 beta)) (+.f64 (+.f64 (.f64 (pow.f64 alpha 3) (.f64 1/16 beta)) (.f64 (pow.f64 alpha 4) (.f64 -3/64 beta))) (*.f64 1/4 beta)))
(+.f64 (.f64 1/4 beta) (+.f64 (.f64 (pow.f64 alpha 4) (.f64 beta -3/64)) (+.f64 (.f64 beta (.f64 (pow.f64 alpha 2) -1/16)) (.f64 (pow.f64 alpha 3) (*.f64 beta 1/16)))))
(+.f64 (.f64 1/4 beta) (+.f64 (.f64 beta (.f64 (pow.f64 alpha 2) -1/16)) (+.f64 (.f64 (pow.f64 alpha 3) (.f64 beta 1/16)) (.f64 (pow.f64 alpha 4) (*.f64 beta -3/64)))))
(+.f64 (.f64 1/4 beta) (+.f64 (.f64 (pow.f64 alpha 3) (.f64 beta 1/16)) (+.f64 (.f64 (pow.f64 alpha 2) (.f64 beta -1/16)) (.f64 (pow.f64 alpha 4) (*.f64 beta -3/64)))))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 -3 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (.f64 8 (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (.f64 8 (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 -20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (*.f64 8 (/.f64 beta (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta alpha) (+.f64 (+.f64 (.f64 -20 (/.f64 beta (pow.f64 alpha 4))) (.f64 -3 (/.f64 beta (pow.f64 alpha 2)))) (*.f64 8 (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -20 (/.f64 beta (pow.f64 alpha 4))))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 -20 (/.f64 beta (pow.f64 alpha 4))))))
(+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 -20 (/.f64 beta (pow.f64 alpha 4))))))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 -3 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (.f64 8 (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (.f64 8 (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 -20 (/.f64 beta (pow.f64 alpha 4))) (+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (*.f64 8 (/.f64 beta (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta alpha) (+.f64 (+.f64 (.f64 -20 (/.f64 beta (pow.f64 alpha 4))) (.f64 -3 (/.f64 beta (pow.f64 alpha 2)))) (*.f64 8 (/.f64 beta (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -20 (/.f64 beta (pow.f64 alpha 4))))))
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 -20 (/.f64 beta (pow.f64 alpha 4))))))
(+.f64 (.f64 -3 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 8 (/.f64 beta (pow.f64 alpha 3))) (*.f64 -20 (/.f64 beta (pow.f64 alpha 4))))))
1/2
(+.f64 1/2 (*.f64 -1/8 (pow.f64 alpha 2)))
(+.f64 1/2 (*.f64 (pow.f64 alpha 2) -1/8))
(+.f64 1/2 (+.f64 (.f64 -1/8 (pow.f64 alpha 2)) (.f64 1/8 (pow.f64 alpha 3))))
(+.f64 (+.f64 1/2 (.f64 (pow.f64 alpha 2) -1/8)) (.f64 (pow.f64 alpha 3) 1/8))
(+.f64 1/2 (+.f64 (.f64 (pow.f64 alpha 2) -1/8) (.f64 (pow.f64 alpha 3) 1/8)))
(+.f64 (.f64 -3/32 (pow.f64 alpha 4)) (+.f64 1/2 (+.f64 (.f64 -1/8 (pow.f64 alpha 2)) (*.f64 1/8 (pow.f64 alpha 3)))))
(+.f64 (+.f64 (+.f64 1/2 (.f64 (pow.f64 alpha 2) -1/8)) (.f64 (pow.f64 alpha 3) 1/8)) (*.f64 (pow.f64 alpha 4) -3/32))
(+.f64 (+.f64 (.f64 (pow.f64 alpha 2) -1/8) (.f64 (pow.f64 alpha 3) 1/8)) (+.f64 1/2 (*.f64 (pow.f64 alpha 4) -3/32)))
(+.f64 1/2 (+.f64 (+.f64 (.f64 (pow.f64 alpha 2) -1/8) (.f64 (pow.f64 alpha 3) 1/8)) (*.f64 (pow.f64 alpha 4) -3/32)))
(+.f64 (+.f64 (.f64 (pow.f64 alpha 2) -1/8) (.f64 (pow.f64 alpha 4) -3/32)) (+.f64 1/2 (*.f64 (pow.f64 alpha 3) 1/8)))
(+.f64 (+.f64 1/2 (.f64 (pow.f64 alpha 3) 1/8)) (+.f64 (.f64 (pow.f64 alpha 2) -1/8) (*.f64 (pow.f64 alpha 4) -3/32)))
(+.f64 (.f64 (pow.f64 alpha 2) -1/8) (+.f64 1/2 (+.f64 (.f64 (pow.f64 alpha 3) 1/8) (*.f64 (pow.f64 alpha 4) -3/32))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) -6))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 3)) 16)) (*.f64 (/.f64 1 (pow.f64 alpha 2)) 6))
(+.f64 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)) (*.f64 (/.f64 1 (pow.f64 alpha 3)) 16))
(+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (/.f64 1 (pow.f64 alpha 3)) 16) (*.f64 (/.f64 1 (pow.f64 alpha 2)) -6)))
(+.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) -6)) (*.f64 (/.f64 1 (pow.f64 alpha 3)) 16))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 40 (/.f64 1 (pow.f64 alpha 4))) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 3)) 16)) (+.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 (/.f64 1 (pow.f64 alpha 4)) 40)))
(-.f64 (+.f64 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)) (.f64 (/.f64 1 (pow.f64 alpha 3)) 16)) (.f64 (/.f64 1 (pow.f64 alpha 4)) 40))
(+.f64 (.f64 (/.f64 1 (pow.f64 alpha 3)) 16) (+.f64 (.f64 2 (/.f64 1 alpha)) (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) -6) (.f64 (/.f64 1 (pow.f64 alpha 4)) 40))))
(/.f64 2 alpha)
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 6 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6))
(+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) -6))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 3)) 16)) (*.f64 (/.f64 1 (pow.f64 alpha 2)) 6))
(+.f64 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)) (*.f64 (/.f64 1 (pow.f64 alpha 3)) 16))
(+.f64 (.f64 2 (/.f64 1 alpha)) (+.f64 (.f64 (/.f64 1 (pow.f64 alpha 3)) 16) (*.f64 (/.f64 1 (pow.f64 alpha 2)) -6)))
(+.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) -6)) (*.f64 (/.f64 1 (pow.f64 alpha 3)) 16))
(-.f64 (+.f64 (.f64 16 (/.f64 1 (pow.f64 alpha 3))) (.f64 2 (/.f64 1 alpha))) (+.f64 (.f64 40 (/.f64 1 (pow.f64 alpha 4))) (.f64 6 (/.f64 1 (pow.f64 alpha 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 3)) 16)) (+.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) 6) (.f64 (/.f64 1 (pow.f64 alpha 4)) 40)))
(-.f64 (+.f64 (-.f64 (.f64 2 (/.f64 1 alpha)) (.f64 (/.f64 1 (pow.f64 alpha 2)) 6)) (.f64 (/.f64 1 (pow.f64 alpha 3)) 16)) (.f64 (/.f64 1 (pow.f64 alpha 4)) 40))
(+.f64 (.f64 (/.f64 1 (pow.f64 alpha 3)) 16) (+.f64 (.f64 2 (/.f64 1 alpha)) (-.f64 (.f64 (/.f64 1 (pow.f64 alpha 2)) -6) (.f64 (/.f64 1 (pow.f64 alpha 4)) 40))))
4
(+.f64 4 (*.f64 4 alpha))
(+.f64 4 (*.f64 alpha 4))
(*.f64 4 (+.f64 alpha 1))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 alpha 4)))
(+.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 alpha 4)))
(+.f64 (pow.f64 alpha 2) (*.f64 4 (+.f64 alpha 1)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 alpha 4)))
(+.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 alpha 4)))
(+.f64 (pow.f64 alpha 2) (*.f64 4 (+.f64 alpha 1)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 alpha 4))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 alpha 4)))
(+.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 alpha 4)))
(+.f64 (pow.f64 alpha 2) (*.f64 4 (+.f64 alpha 1)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 alpha 4)))
(+.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 alpha 4)))
(+.f64 (pow.f64 alpha 2) (*.f64 4 (+.f64 alpha 1)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 4 alpha))
(+.f64 (pow.f64 alpha 2) (*.f64 alpha 4))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 alpha 4)))
(+.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 alpha 4)))
(+.f64 (pow.f64 alpha 2) (*.f64 4 (+.f64 alpha 1)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 4 alpha)))
(+.f64 4 (+.f64 (pow.f64 alpha 2) (*.f64 alpha 4)))
(+.f64 (pow.f64 alpha 2) (+.f64 4 (*.f64 alpha 4)))
(+.f64 (pow.f64 alpha 2) (*.f64 4 (+.f64 alpha 1)))
(+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) 0)
(+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) 0)
(+.f64 0 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) 0)
(*.f64 1 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))
(*.f64 1 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))
(*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) 1)
(*.f64 1 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))
(.f64 -1 (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -1))
(*.f64 1 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))
(.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -1) -1)
(*.f64 1 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2)) beta)) 0)
(+.f64 0 (.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2)) (.f64 1/2 beta)))
(+.f64 0 (.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2)))))
(+.f64 0 (.f64 1/2 (.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2)) beta)))
(+.f64 0 (.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2)) (.f64 1/2 beta)))
(+.f64 0 (.f64 1/2 (.f64 beta (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2)))))
(+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2))
(+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))
(+.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2)) 0)
(+.f64 (+.f64 0 (.f64 2 (/.f64 1 (+.f64 alpha 2)))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))
(+.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2) (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) 0))
(+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (+.f64 0 (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2)))
(+.f64 0 (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2)))
(+.f64 (+.f64 0 (.f64 2 (/.f64 1 (+.f64 alpha 2)))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))
(+.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2) (+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) 0))
(+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (+.f64 0 (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2)))
(+.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2) (.f64 2 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))
(.f64 1 (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2)))
(+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))
(.f64 (+.f64 (.f64 2 (/.f64 1 (+.f64 2 alpha))) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) -2)) 1)
(+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))
(.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (/.f64 1 (+.f64 2 alpha)) -2)) -1)
(+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))
(.f64 -1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (/.f64 1 (+.f64 2 alpha)) -2)))
(+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 (/.f64 1 (+.f64 2 alpha)) -2)))
(+.f64 (.f64 2 (/.f64 1 (+.f64 alpha 2))) (.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) -2))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) 0)
(+.f64 (pow.f64 (+.f64 alpha 2) 2) 0)
(+.f64 0 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (pow.f64 (+.f64 alpha 2) 2) 0)
(*.f64 1 (pow.f64 (+.f64 2 alpha) 2))
(*.f64 1 (pow.f64 (+.f64 alpha 2) 2))
(*.f64 (pow.f64 (+.f64 2 alpha) 2) 1)
(*.f64 1 (pow.f64 (+.f64 alpha 2) 2))

eval156.0ms (2.9%)

Compiler: Compiled 8330 to 6817 computations (18.2% saved)

prune53.0ms (1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	278	7	285
Fresh	1	3	4
Picked	1	0	1
Done	2	3	5
Total	282	13	295

Error

Counts

295 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.1b	(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 beta 2)) 2)
✓	0.0b	(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 alpha (+.f64 2 beta))) 2)
	17.7b	(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 2 alpha)) 2)
✓	14.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
▶	16.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
▶	42.3b	(/.f64 (.f64 2 beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 2))
	58.7b	(/.f64 beta (+.f64 2 alpha))
✓	18.5b	(/.f64 1 (+.f64 2 alpha))
▶	49.3b	(/.f64 1 alpha)
	30.9b	(+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 beta alpha))
▶	26.5b	(+.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 1/4 beta))
	40.2b	1
	31.1b	1/2

Compiler

Compiled 211 to 164 computations (22.3% saved)

localize20.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite8.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

32×	`rational.json-simplify-1`
30×	`bool.json-1`
24×	`rational.json-1`
24×	`rational.json-2`
24×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	37	32
2	60	32
3	70	32
4	74	32
5	82	32
6	87	32
7	90	32
8	96	32
9	97	32

Stop Event

1×

saturated

Counts

2 → 7

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

480×	`rational.json-simplify-27`
404×	`rational.json-simplify-29`
382×	`rational.json-simplify-1`
370×	`rational.json-simplify-33`
350×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	901
1	105	895
2	205	895
3	410	895
4	840	895
5	1440	895
6	2064	895
7	2203	895
8	2259	895
9	2290	895
10	2294	895

Stop Event

1×

saturated

Counts

31 → 51

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

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

localize3.0ms (0.1%)

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 1/4 beta))
	0.0b	(/.f64 1 (+.f64 2 alpha))

Compiler

Compiled 27 to 20 computations (25.9% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	inf	(+.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 1/4 beta))
0.0ms	alpha	@	0	(+.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 1/4 beta))
0.0ms	beta	@	0	(+.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 1/4 beta))
0.0ms	alpha	@	inf	(+.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 1/4 beta))
0.0ms	beta	@	-inf	(+.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 1/4 beta))

rewrite5.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

28×	`bool.json-1`
24×	`rational.json-simplify-1`
22×	`rational.json-simplify-2`
20×	`rational.json-1`
20×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	50	25
2	75	25
3	81	25

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs

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

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

448×	`rational.json-simplify-1`
406×	`rational.json-simplify-27`
380×	`rational.json-simplify-33`
366×	`rational.json-simplify-29`
308×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	728
1	78	728
2	140	728
3	286	728
4	545	728
5	892	728
6	1368	728
7	1671	728
8	1841	728
9	1917	728
10	1939	728
11	1942	728

Stop Event

1×

saturated

Counts

26 → 25

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 23 computations (32.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite162.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

38×	`rational.json-simplify-1`
34×	`bool.json-1`
30×	`rational.json-simplify-2`
28×	`rational.json-1`
28×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	50	31
2	87	31
3	102	31
4	106	31

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

224×	`rational.json-simplify-1`
138×	`rational.json-simplify-33`
34×	`rational.json-simplify-2`
2×	`rational.json-simplify-20`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	1522
1	141	1522
2	198	1522
3	263	1522
4	302	1522
5	304	1522

Stop Event

1×

saturated

Counts

28 → 41

Calls

Call 1

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

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

localize37.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite8.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

28×	`rational.json-simplify-1`
26×	`bool.json-1`
22×	`rational.json-simplify-2`
20×	`rational.json-1`
20×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	39	25
2	68	25
3	75	25
4	77	25
5	83	25
6	84	25
7	85	25

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

Outputs

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

simplify30.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

296×	`rational.json-simplify-27`
230×	`rational.json-simplify-1`
222×	`rational.json-simplify-41`
220×	`rational.json-simplify-29`
216×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	478
1	77	478
2	137	478
3	255	478
4	506	478
5	867	478
6	1250	478
7	1348	478
8	1398	478
9	1428	478
10	1432	478

Stop Event

1×

saturated

Counts

16 → 24

Calls

Call 1

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

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

eval65.0ms (1.2%)

Compiler: Compiled 3112 to 2492 computations (19.9% saved)

prune34.0ms (0.6%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	172	4	176
Fresh	1	4	5
Picked	0	1	1
Done	0	7	7
Total	173	16	189

Error

Counts

189 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.1b	(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 beta 2)) 2)
✓	0.0b	(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 alpha (+.f64 2 beta))) 2)
▶	17.7b	(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 2 alpha)) 2)
✓	14.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	16.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	42.3b	(/.f64 (.f64 2 beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 2))
▶	44.7b	(/.f64 beta (+.f64 beta 2))
▶	59.2b	(/.f64 beta alpha)
✓	18.5b	(/.f64 1 (+.f64 2 alpha))
✓	49.3b	(/.f64 1 alpha)
	30.9b	(+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 beta alpha))
✓	26.5b	(+.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 1/4 beta))
▶	45.5b	(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
▶	33.3b	(+.f64 1/2 (*.f64 1/4 beta))
	40.2b	1
	31.1b	1/2

Compiler

Compiled 204 to 158 computations (22.5% saved)

localize14.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 36 to 20 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite9.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

34×	`rational.json-simplify-1`
30×	`bool.json-1`
26×	`rational.json-simplify-2`
24×	`rational.json-1`
24×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	44	25
2	79	25
3	88	25
4	90	25
5	96	25
6	97	25
7	98	25

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

270×	`rational.json-simplify-1`
250×	`rational.json-simplify-33`
178×	`rational.json-simplify-2`
108×	`rational.json-simplify-31`
2×	`rational.json-simplify-19`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	1492
1	112	1468
2	191	1432
3	335	1432
4	472	1432
5	529	1432
6	530	1432

Stop Event

1×

saturated

Counts

28 → 37

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize6.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 22 computations (29% saved)

series3.0ms (0.1%)

Counts

2 → 27

Calls

12 calls:

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

rewrite10.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

28×	`bool.json-1`
24×	`rational.json-simplify-1`
22×	`rational.json-simplify-2`
20×	`rational.json-1`
20×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	50	38
2	75	38
3	82	38

Stop Event

1×

saturated

Counts

2 → 6

Calls

Call 1

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

Outputs

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

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

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

90×	`rational.json-simplify-2`
80×	`rational.json-simplify-27`
64×	`rational.json-simplify-31`
60×	`rational.json-simplify-41`
58×	`rational.json-simplify-40`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	30	783
1	43	783
2	61	783
3	95	783
4	154	783
5	219	725
6	292	725
7	333	725
8	362	725
9	369	725

Stop Event

1×

saturated

Counts

33 → 24

Calls

Call 1

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

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

eval32.0ms (0.6%)

Compiler: Compiled 1486 to 1192 computations (19.8% saved)

prune17.0ms (0.3%)

Pruning

16 alts after pruning (4 fresh and 12 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	3	3
Picked	1	0	1
Done	0	12	12
Total	83	16	99

Error

Counts

99 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.1b	(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 beta 2)) 2)
✓	0.0b	(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 alpha (+.f64 2 beta))) 2)
✓	17.7b	(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 2 alpha)) 2)
✓	14.6b	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
✓	16.1b	(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
✓	42.3b	(/.f64 (.f64 2 beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 2))
✓	44.7b	(/.f64 beta (+.f64 beta 2))
✓	59.2b	(/.f64 beta alpha)
✓	18.5b	(/.f64 1 (+.f64 2 alpha))
✓	49.3b	(/.f64 1 alpha)
	30.9b	(+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 beta alpha))
✓	26.5b	(+.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 1/4 beta))
	43.4b	(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
✓	33.3b	(+.f64 1/2 (*.f64 1/4 beta))
	40.2b	1
	31.1b	1/2

Compiler

Compiled 148 to 115 computations (22.3% saved)

regimes48.0ms (0.9%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	beta
12.0ms	alpha
8.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
4.0ms	(+.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
0.0b	1	`alpha`
0.0b	1	`beta`
0.0b	1	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
0.0b	1	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
0.0b	1	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`

Compiler

Compiled 261 to 184 computations (29.5% saved)

regimes50.0ms (0.9%)

Counts

22 → 1

Calls

Call 1

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

Calls

5 calls:

15.0ms	beta
12.0ms	alpha
8.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
3.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
3.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

Results

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

Compiler

Compiled 221 to 153 computations (30.8% saved)

regimes45.0ms (0.8%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	alpha
19.0ms	beta

Results

Error	Segments	Branch
3.2b	2	`alpha`
1.4b	2	`beta`

Compiler

Compiled 143 to 100 computations (30.1% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.017605054328603438	9.552550542365825

Results

11.0ms	107×	body	256	valid
3.0ms	11×	body	1024	valid
1.0ms	7×	body	512	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 244 to 191 computations (21.7% saved)

regimes41.0ms (0.8%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	beta
16.0ms	alpha

Results

Error	Segments	Branch
3.2b	2	`alpha`
1.4b	2	`beta`

Compiler

Compiled 121 to 86 computations (28.9% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.017605054328603438	9.552550542365825

Results

10.0ms	101×	body	256	valid
5.0ms	20×	body	1024	valid
1.0ms	7×	body	512	valid

Compiler

Compiled 244 to 191 computations (21.7% saved)

regimes64.0ms (1.2%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	alpha
20.0ms	beta

Results

Error	Segments	Branch
3.2b	2	`alpha`
1.9b	2	`beta`

Compiler

Compiled 99 to 70 computations (29.3% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.017605054328603438	9.552550542365825

Results

10.0ms	100×	body	256	valid
4.0ms	17×	body	1024	valid
2.0ms	11×	body	512	valid

Compiler

Compiled 196 to 159 computations (18.9% saved)

regimes34.0ms (0.6%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	beta
14.0ms	alpha

Results

Error	Segments	Branch
3.2b	2	`alpha`
3.4b	2	`beta`

Compiler

Compiled 88 to 62 computations (29.5% saved)

bsearch9.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	4.5182035220487544e-6	1.4898290514588387e-5

Results

8.0ms

80×

body

256

valid

Compiler

Compiled 140 to 110 computations (21.4% saved)

regimes40.0ms (0.8%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	alpha
13.0ms	beta

Results

Error	Segments	Branch
14.6b	4	`alpha`
4.2b	2	`beta`

Compiler

Compiled 70 to 49 computations (30% saved)

bsearch20.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	0.017605054328603438	9.552550542365825

Results

9.0ms	94×	body	256	valid
7.0ms	23×	body	1024	valid
1.0ms	9×	body	512	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 116 to 103 computations (11.2% saved)

regimes24.0ms (0.5%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(+.f64 1/2 (*.f64 1/4 beta))
1

Calls

2 calls:

15.0ms	alpha
8.0ms	beta

Results

Error	Segments	Branch
18.4b	4	`alpha`
16.9b	2	`beta`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch65.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
65.0ms	0.017605054328603438	9.552550542365825

Results

51.0ms	13×	body	1024	valid
10.0ms	105×	body	256	valid
1.0ms	5×	body	2048	valid
1.0ms	5×	body	512	valid

Compiler

Compiled 116 to 103 computations (11.2% saved)

regimes24.0ms (0.5%)

Accuracy

Total -45.2b remaining (-263%)

Threshold costs -45.2b (-263%)

Counts

4 → 2

Calls

Call 1

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

Outputs
1/2
1

Calls

2 calls:

17.0ms	alpha
7.0ms	beta

Results

Error	Segments	Branch
18.4b	4	`alpha`
17.2b	2	`beta`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	0.017605054328603438	9.552550542365825

Results

11.0ms	101×	body	256	valid
4.0ms	17×	body	1024	valid
2.0ms	10×	body	512	valid

Compiler

Compiled 84 to 79 computations (6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	386

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 alpha (+.f64 2 beta))) 2)
(/.f64 (+.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(if (<=.f64 beta 19/2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 2 alpha)) 2) (/.f64 (.f64 2 beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(if (<=.f64 beta 19/2) (/.f64 (+.f64 beta (+.f64 beta 2)) (.f64 (+.f64 2 alpha) 2)) (/.f64 (.f64 2 beta) (*.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(if (<=.f64 beta 7656119366529843/4503599627370496) (/.f64 1 (+.f64 2 alpha)) (/.f64 (.f64 2 beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(if (<=.f64 alpha 3246626956972881/590295810358705651712) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 beta alpha)))
(if (<=.f64 beta 2476979795053773/281474976710656) (/.f64 1 (+.f64 2 alpha)) 1)
(if (<=.f64 beta 2) (+.f64 1/2 (*.f64 1/4 beta)) 1)
(if (<=.f64 beta 2) 1/2 1)
1/2

Outputs
(/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 alpha (+.f64 2 beta))) 2)
(/.f64 (+.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(if (<=.f64 beta 19/2) (/.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 2 alpha)) 2) (/.f64 (.f64 2 beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(if (<=.f64 beta 19/2) (/.f64 (+.f64 beta (+.f64 beta 2)) (.f64 (+.f64 2 alpha) 2)) (/.f64 (.f64 2 beta) (*.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(if (<=.f64 beta 7656119366529843/4503599627370496) (/.f64 1 (+.f64 2 alpha)) (/.f64 (.f64 2 beta) (.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(if (<=.f64 alpha 3246626956972881/590295810358705651712) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 beta alpha)))
(if (<=.f64 beta 2476979795053773/281474976710656) (/.f64 1 (+.f64 2 alpha)) 1)
(if (<=.f64 beta 2) (+.f64 1/2 (*.f64 1/4 beta)) 1)
(if (<=.f64 beta 2) 1/2 1)
1/2

Compiler

Compiled 167 to 129 computations (22.8% saved)

soundness380.0ms (7.1%)

Algorithm

2×	egg-herbie

Rules

3180×	`rational.json-simplify-29`
2280×	`rational.json-simplify-32`
2266×	`rational.json-simplify-33`
2000×	`rational.json-simplify-9`
1806×	`rational.json-simplify-27`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	20	37
2	35	37
3	58	37
4	91	37
5	151	37
6	236	37
7	560	37
8	1154	37
9	1850	37
10	2244	37
11	2520	37
12	2666	37
13	2728	37
14	2763	37
15	2773	37
16	2782	37
17	2785	37
18	2785	37
19	3918	37
20	4871	37
21	5149	37
22	5200	37
23	5249	37
24	5270	37
25	5721	37
26	5724	37
27	5724	37
28	5726	37
29	5728	37
30	5728	37
0	242	4788
1	587	4642
2	1279	4624
3	3409	4490
4	7197	4472

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 379 to 247 computations (34.8% saved)

end157.0ms (2.9%)

Compiler: Compiled 149 to 110 computations (26.2% saved)

Iter	Nodes	Cost
0	30	783
1	43	783
2	61	783
3	95	783
4	154	783
5	219	725
6	292	725
7	333	725
8	362	725
9	369	725

Iter	Nodes	Cost
0	30	783
1	43	783
2	61	783
3	95	783
4	154	783
5	219	725
6	292	725
7	333	725
8	362	725
9	369	725

Iter	Nodes	Cost
0	30	783
1	43	783
2	61	783
3	95	783
4	154	783
5	219	725
6	292	725
7	333	725
8	362	725
9	369	725