Details

analyze55.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
0%	56.2%	43.8%	2
14%	42.1%	43.8%	3
21.1%	35.1%	43.8%	4
31.6%	24.6%	43.8%	5
36.9%	19.3%	43.8%	6
43%	13.2%	43.8%	7
46.1%	10.1%	43.8%	8
49.4%	6.8%	43.8%	9
51%	5.2%	43.8%	10
52.7%	3.5%	43.8%	11
53.6%	2.6%	43.8%	12

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.5s (12.6%)

Results

1.5s

8256×

body

256

valid

preprocess89.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

810×	`distribute-rgt-in_binary64`
782×	`distribute-lft-in_binary64`
670×	`+-commutative_binary64`
612×	`associate-l_binary64`
531×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	80
1	65	76
2	165	76
3	837	74
4	5205	74
5	5999	74
6	6366	74
7	7042	74
8	7596	74
9	7609	74
0	2	2
1	2	2

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs

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

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

Outputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (.f64 alpha beta)) 1) (+.f64 (+.f64 beta alpha) (.f64 2 1))) (+.f64 (+.f64 beta alpha) (.f64 2 1))) (+.f64 (+.f64 (+.f64 beta alpha) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (.f64 (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))))

Symmetry

(sort alpha beta)

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify129.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

681×	`distribute-rgt-in_binary64`
661×	`distribute-lft-in_binary64`
485×	`associate-l_binary64`
473×	`associate-/l/_binary64`
389×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	36	38
2	117	38
3	624	37
4	4304	37
5	4993	37
6	5254	37
7	5793	37
8	6311	37
9	6324	37
10	6554	37
11	6681	37
12	6824	37
13	7124	37
14	7928	37

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

Outputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (.f64 alpha beta) 1)) (.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 1) (.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 (fma.f64 alpha beta beta) (+.f64 alpha 1)) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (.f64 (+.f64 beta 1) (+.f64 alpha 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

eval1.0ms (0%)

Compiler: Compiled 62 to 40 computations (35.5% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

3.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.8b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	9.3b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

Status

Error

Program

▶

3.8b

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

▶

9.3b

(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

Compiler

Compiled 64 to 43 computations (32.8% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 alpha 1) (+.f64 beta 1))
✓	0.0b	(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))
✓	0.1b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))
✓	9.2b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

Compiler

Compiled 89 to 54 computations (39.3% saved)

series24.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	beta	@	-inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
3.0ms	alpha	@	0	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
3.0ms	beta	@	0	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
2.0ms	alpha	@	-inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
2.0ms	beta	@	inf	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

rewrite109.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`fma-neg_binary64`
352×	`log1p-udef_binary64`
350×	`expm1-udef_binary64`
208×	`add-sqr-sqrt_binary64`
203×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	397	76
2	6651	76

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))
(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (+.f64 alpha 1) (+.f64 beta 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (.f64 (+.f64 1 beta) (/.f64 1 (.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 beta) (.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (/.f64 1 (.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta)))) 2) (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2) (.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (/.f64 1 (.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))) (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (+.f64 (+.f64 3 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (/.f64 1 (.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 beta) (neg.f64 (+.f64 alpha 1))) (/.f64 1 (.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (neg.f64 (+.f64 (+.f64 3 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (.f64 (+.f64 alpha 1) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha 1))) (/.f64 1 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (+.f64 1 beta) (.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (+.f64 alpha 1) (.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2) 1) (/.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) 1) (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (+.f64 alpha (+.f64 2 beta))) (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 (+.f64 3 alpha) beta) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2) (+.f64 alpha (+.f64 2 beta))) (/.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) 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3) 3)) (+.f64 (.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (-.f64 (.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) 3) (.f64 (+.f64 alpha (+.f64 2 beta)) 3)) (.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta))) (.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) 3) (.f64 (+.f64 alpha (+.f64 2 beta)) 3))) (-.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (+.f64 3 alpha) beta)) (fma.f64 beta beta (.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 beta beta) (pow.f64 (+.f64 alpha 2) 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(+.f64 3 alpha) beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha beta) (.f64 (+.f64 alpha (+.f64 2 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 2 beta)) (.f64 (+.f64 alpha (+.f64 2 beta)) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 alpha 1) (+.f64 beta (.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 beta) (.f64 alpha (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 beta) (.f64 (+.f64 1 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 beta (.f64 alpha beta)) 1) (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 alpha (+.f64 1 beta)) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 1 beta) alpha) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 beta (.f64 alpha beta)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 beta (.f64 alpha beta)) 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)))) 1)))) (#(struct:change 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(-.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 alpha alpha -1)) (.f64 (fma.f64 beta beta (-.f64 1 beta)) (+.f64 alpha -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 beta beta -1) (fma.f64 alpha alpha -1)) (.f64 (+.f64 beta -1) (+.f64 alpha -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 beta (.f64 alpha beta)) 3) (pow.f64 (+.f64 alpha 1) 3)) (+.f64 (.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 alpha 1) 2) (.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 alpha 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 beta (.f64 alpha beta)) (+.f64 beta (.f64 alpha beta))) (pow.f64 (+.f64 alpha 1) 2)) (fma.f64 (+.f64 alpha 1) beta (neg.f64 (+.f64 alpha 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 1 beta)) (fma.f64 alpha alpha (-.f64 1 alpha)))))) (#(struct:change 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(+.f64 alpha 1) (+.f64 1 beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 beta)) (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (+.f64 1 beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 alpha 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 1) beta (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (+.f64 alpha 1) (+.f64 alpha 1))))))

simplify172.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

501×	`distribute-rgt-in_binary64`
491×	`distribute-lft-in_binary64`
411×	`fma-def_binary64`
330×	`associate-+r+_binary64`
282×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	5598
1	1370	5064
2	7236	5013

Stop Event

1×	node limit

Counts

280 → 299

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(pow.f64 beta 3)
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(pow.f64 beta 3)
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(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))
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(pow.f64 alpha 3)
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(pow.f64 alpha 3)
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(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
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(pow.f64 beta 2)
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(pow.f64 beta 2)
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(+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (.f64 2 beta)) alpha))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) alpha)))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(+.f64 beta 1)
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(*.f64 (+.f64 beta 1) alpha)
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(*.f64 (+.f64 beta 1) alpha)
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 1 alpha)
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(*.f64 (+.f64 1 alpha) beta)
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(*.f64 (+.f64 1 alpha) beta)
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))

Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 alpha (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 alpha (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 alpha (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1)))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (fma.f64 alpha (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)))))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 alpha (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1)))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1)))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 (.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))))))))
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(+.f64 (.f64 beta (+.f64 5 (.f64 2 alpha))) (pow.f64 beta 2))
(fma.f64 beta (+.f64 5 (.f64 2 alpha)) (.f64 beta beta))
(*.f64 beta (+.f64 beta (fma.f64 2 alpha 5)))
(+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta (+.f64 5 (.f64 2 alpha)) (.f64 beta beta)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (*.f64 beta (+.f64 beta (fma.f64 2 alpha 5))))
(+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta (+.f64 5 (.f64 2 alpha)) (.f64 beta beta)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (*.f64 beta (+.f64 beta (fma.f64 2 alpha 5))))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2))
(fma.f64 -1 (.f64 beta (.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (*.f64 beta beta))
(-.f64 (.f64 beta beta) (.f64 beta (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha))))
(fma.f64 beta beta (*.f64 beta (+.f64 3 (+.f64 alpha (+.f64 2 alpha)))))
(+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 -1 (.f64 beta (.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (*.f64 beta beta)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (-.f64 (.f64 beta beta) (.f64 beta (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha)))))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta beta (*.f64 beta (+.f64 3 (+.f64 alpha (+.f64 2 alpha))))))
(+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 -1 (.f64 beta (.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha)))) (*.f64 beta beta)))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (-.f64 (.f64 beta beta) (.f64 beta (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha)))))
(fma.f64 (+.f64 2 alpha) (+.f64 3 alpha) (fma.f64 beta beta (*.f64 beta (+.f64 3 (+.f64 alpha (+.f64 2 alpha))))))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 (.f64 beta 2) 5)))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (fma.f64 beta 2 5)))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 (*.f64 beta 2) 5))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5))))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 (*.f64 beta 2) 5))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5))))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (.f64 2 beta)) alpha))
(+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 (*.f64 beta 2) 5)))
(*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5)))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 (*.f64 beta 2) 5))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5))))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (.f64 alpha alpha) (.f64 alpha (+.f64 (*.f64 beta 2) 5))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (fma.f64 beta 2 5))))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (pow.f64 alpha 2) (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) alpha)))
(+.f64 (.f64 alpha alpha) (neg.f64 (.f64 alpha (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3))))))
(.f64 alpha (+.f64 alpha (.f64 1 (+.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 alpha (+.f64 alpha (+.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (.f64 alpha alpha) (neg.f64 (.f64 alpha (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 alpha (.f64 1 (+.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (+.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (.f64 alpha alpha) (neg.f64 (.f64 alpha (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 beta 3)))))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (.f64 alpha (+.f64 alpha (.f64 1 (+.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 alpha (+.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 beta 1)
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(*.f64 (+.f64 beta 1) alpha)
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(*.f64 (+.f64 beta 1) alpha)
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (fma.f64 (+.f64 beta 1) alpha 1))
(*.f64 (+.f64 1 alpha) (+.f64 beta 1))
(+.f64 1 alpha)
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (fma.f64 (+.f64 1 alpha) beta alpha))
(*.f64 (+.f64 beta 1) (+.f64 1 alpha))

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1)
✓	0.0b	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
✓	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
✓	3.6b	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1)))

Compiler

Compiled 124 to 60 computations (51.6% saved)

series46.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
23.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
3.0ms	alpha	@	0	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1)))
3.0ms	beta	@	-inf	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
2.0ms	alpha	@	-inf	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`fma-neg_binary64`
312×	`log1p-udef_binary64`
310×	`expm1-udef_binary64`
245×	`log-pow_binary64`
183×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	106
1	349	86
2	5771	86

Stop Event

1×	node limit

Counts

4 → 161

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) (.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (/.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta)))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (.f64 (+.f64 alpha beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 2) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) -1)) (/.f64 1 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 (sqrt.f64 (fma.f64 alpha 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alpha beta)) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 2) (-.f64 1 (fma.f64 alpha beta (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 2) (fma.f64 alpha beta (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 2) -1) (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 2) (-.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 2) -1)) (neg.f64 (+.f64 (fma.f64 alpha beta (+.f64 alpha beta)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 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beta (+.f64 alpha beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 alpha beta))) (exp.f64 (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 alpha) beta) (exp.f64 (+.f64 (+.f64 alpha beta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 alpha beta))) (exp.f64 (+.f64 (+.f64 alpha beta) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 alpha beta 1)) (exp.f64 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 alpha beta 1)) (+.f64 1 (expm1.f64 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 alpha beta) (fma.f64 alpha beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 alpha beta (+.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha beta (+.f64 alpha beta)) 2)) (cbrt.f64 (fma.f64 alpha beta (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (sqrt.f64 (fma.f64 alpha beta (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))))))

simplify115.0ms (1%)

Algorithm

1×	egg-herbie

Rules

719×	`distribute-rgt-in_binary64`
711×	`distribute-lft-in_binary64`
502×	`fma-def_binary64`
281×	`times-frac_binary64`
273×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	584	8295
1	2253	7812

Stop Event

1×	node limit

Counts

257 → 309

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(.f64 -1 (-.f64 (.f64 -1 beta) 1))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (-.f64 (.f64 -1 beta) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (-.f64 (.f64 -1 alpha) 1))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (.f64 -1 (-.f64 (.f64 -1 alpha) 1))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 beta 2)) (.f64 -1 (-.f64 (*.f64 -1 alpha) 1)))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
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(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1))))) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 alpha) 1))) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1))))) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 alpha) 1))) (pow.f64 beta 4))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1))) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 5))) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (-.f64 (.f64 -1 alpha) 1) (+.f64 3 alpha))) (pow.f64 beta 5)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 beta 2))))))))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 beta)) (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 4 (.f64 2 beta))) (pow.f64 alpha 2)))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha)))) (.f64 -2 (/.f64 (.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (.f64 -2 (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha)) (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (.f64 -2 (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2))))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) 1) alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (.f64 -2 (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2)))))) (.f64 (-.f64 (.f64 -1 beta) 1) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (.f64 -2 (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2)))))) (pow.f64 alpha 4))) (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 -1 beta) 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 4 (.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 4 (.f64 2 alpha)))) (pow.f64 beta 3)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 4 (.f64 2 alpha))) (pow.f64 beta 2)))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) beta))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) beta)))) (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) beta)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) 1)) (pow.f64 beta 3)))))) (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) beta)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) 1)) (pow.f64 beta 3)) (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 alpha) 1)) (.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1))))))) (+.f64 2 alpha))) (.f64 (-.f64 (+.f64 1 alpha) (.f64 -2 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))))))) (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 alpha) 1)) (pow.f64 beta 2))))
(+.f64 beta 1)
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta 1) alpha) 1))
(*.f64 (+.f64 beta 1) alpha)
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(+.f64 beta (+.f64 1 (*.f64 (+.f64 beta 1) alpha)))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 beta) 1) alpha))
(+.f64 beta (+.f64 (.f64 -1 (.f64 (-.f64 (*.f64 -1 beta) 1) alpha)) 1))
(+.f64 beta (+.f64 (.f64 -1 (.f64 (-.f64 (*.f64 -1 beta) 1) alpha)) 1))
(+.f64 beta (+.f64 (.f64 -1 (.f64 (-.f64 (*.f64 -1 beta) 1) alpha)) 1))
(+.f64 1 alpha)
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(+.f64 1 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha))
(*.f64 (+.f64 1 alpha) beta)
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 beta (-.f64 (*.f64 -1 alpha) 1))) alpha))
(+.f64 1 (+.f64 (.f64 -1 (.f64 beta (-.f64 (*.f64 -1 alpha) 1))) alpha))
(+.f64 1 (+.f64 (.f64 -1 (.f64 beta (-.f64 (*.f64 -1 alpha) 1))) alpha))

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

eval694.0ms (5.9%)

Compiler: Compiled 32124 to 23042 computations (28.3% saved)

prune114.0ms (1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	588	20	608
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	590	20	610

Error

0.0b

Counts

610 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	29.3b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	3.0b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta)))) 3)
	39.2b	(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (pow.f64 beta 3))
▶	38.1b	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
▶	62.3b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
	2.4b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
	62.4b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	9.3b	(/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	17.5b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha))))))
	62.6b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
▶	2.4b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	15.7b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	3.7b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	32.6b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))
	30.1b	(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	9.7b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
▶	29.8b	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (+.f64 2 alpha) (/.f64 beta (-.f64 -1 alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	25.3b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	32.0b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	9.7b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)))) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

Compiler

Compiled 948 to 692 computations (27% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
✓	0.0b	(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
✓	2.3b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))

Compiler

Compiled 89 to 59 computations (33.7% saved)

series23.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	beta	@	inf	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
3.0ms	beta	@	-inf	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
2.0ms	alpha	@	0	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
2.0ms	beta	@	0	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))

rewrite116.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

414×	`fma-neg_binary64`
363×	`log1p-udef_binary64`
362×	`expm1-udef_binary64`
210×	`add-sqr-sqrt_binary64`
205×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	398	82
2	6730	82

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

Inputs
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 1 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (.f64 (+.f64 alpha (+.f64 2 beta)) (neg.f64 (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) 1) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 2 beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 3 beta))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 3 beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))) 2))) (/.f64 (+.f64 alpha 1) (cbrt.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (cbrt.f64 (pow.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 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simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

768×	`distribute-rgt-in_binary64`
751×	`distribute-lft-in_binary64`
554×	`fma-def_binary64`
333×	`associate-/r*_binary64`
329×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	527	7826
1	2144	7301

Stop Event

1×	node limit

Counts

283 → 333

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(/.f64 1 alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (.f64 2 beta))))))) (.f64 -1 (.f64 (+.f64 beta 3) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))))))) (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))) (.f64 -1 (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 3 alpha))))) (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)))) (+.f64 5 (.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha)) (pow.f64 beta 3))))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (.f64 2 beta)) alpha))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) alpha)))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
(+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha))))
(+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (.f64 beta (+.f64 5 (.f64 2 alpha))) (pow.f64 beta 2))
(+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2))
(+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
(+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
1
(+.f64 (/.f64 1 beta) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 1 (.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2))))))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 1 (.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2)))))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3))) (+.f64 (.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta)))))))) (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta))))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)))) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 (.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (+.f64 (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)))) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (+.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))

Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
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(/.f64 1 alpha)
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(/.f64 1 alpha)
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1
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(+.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (pow.f64 beta 3))) (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (.f64 (+.f64 1 alpha) (-.f64 (.f64 (+.f64 -4 (*.f64 alpha -2)) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))))
(+.f64 (/.f64 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))))))) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
(+.f64 (/.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (/.f64 (pow.f64 beta 5) (fma.f64 -1 (.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (.f64 -1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))))) (fma.f64 -1 (/.f64 (fma.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 5) (.f64 -1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))))) (+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (.f64 (+.f64 3 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 -1 (.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (.f64 -1 (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4)))))))))
(+.f64 (-.f64 (.f64 (/.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (pow.f64 beta 5)) (neg.f64 (fma.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (.f64 (+.f64 1 alpha) (-.f64 (.f64 (+.f64 -4 (.f64 alpha -2)) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))) (.f64 (/.f64 (-.f64 (.f64 (+.f64 -4 (.f64 alpha -2)) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 5)) (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))))) (+.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (pow.f64 beta 3))) (-.f64 (-.f64 (/.f64 alpha (.f64 beta beta)) (/.f64 (neg.f64 (fma.f64 (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))) (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (fma.f64 2 alpha 4))))) (.f64 (+.f64 1 alpha) (-.f64 (.f64 (+.f64 -4 (.f64 alpha -2)) (+.f64 3 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 5)) (.f64 (+.f64 3 alpha) (pow.f64 (+.f64 2 alpha) 2))))))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.4b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

809×	`pow1_binary64`
757×	`add-log-exp_binary64`
756×	`log1p-expm1-u_binary64`
756×	`expm1-log1p-u_binary64`
740×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	10
2	2055	10

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 2) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (*.f64 beta (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -2) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 beta beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 beta -2))))))))

simplify168.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	285
1	19	285
2	30	285
3	53	285
4	121	285
5	363	285
6	1349	285
7	2197	285
8	2361	285
9	2545	285
10	2753	285
11	3052	285
12	3443	285
13	3926	285
14	4492	285
15	5182	285
16	6015	285
17	6409	285
18	6697	285
19	6973	285
20	7047	285
21	7081	285

Stop Event

1×	node limit

Counts

56 → 40

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 alpha 1) (+.f64 beta 1))
✓	5.2b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
✓	7.0b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 alpha alpha))

Compiler

Compiled 56 to 33 computations (41.1% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`fma-def_binary64`
402×	`fma-neg_binary64`
300×	`log-div_binary64`
271×	`log1p-udef_binary64`
268×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	311	38
2	5059	38

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (*.f64 alpha alpha)) (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)) (*.f64 beta (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta alpha) (*.f64 alpha alpha)) (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) beta) (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)) (*.f64 (*.f64 alpha alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) (+.f64 beta alpha)) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 alpha alpha)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 alpha alpha)) (-.f64 (-.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 alpha alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3) (pow.f64 (*.f64 alpha alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (*.f64 alpha alpha) (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 2) (*.f64 alpha alpha) (*.f64 beta (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) beta (*.f64 (*.f64 alpha alpha) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) (+.f64 alpha 2) (*.f64 (*.f64 alpha alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) (+.f64 beta alpha) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta alpha) (*.f64 alpha alpha) (*.f64 2 (*.f64 alpha alpha)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 1) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1)))) alpha) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1)))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (neg.f64 (+.f64 alpha 1))) (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta alpha)) (neg.f64 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha 1) (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1))) (/.f64 1 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (+.f64 2 (+.f64 beta alpha))) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 2) (+.f64 2 (+.f64 beta alpha))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 alpha alpha)) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 2) (*.f64 alpha alpha)) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 (+.f64 beta 1) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 (+.f64 alpha 1) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 2) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 alpha (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 alpha 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) 2) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1)))) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1)) (/.f64 (*.f64 alpha alpha) (+.f64 alpha 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 2 (+.f64 beta alpha)) (neg.f64 (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) 3) (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) (log1p.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (*.f64 alpha alpha))) (log1p.f64 beta))) 1))))))

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-def_binary64`
688×	`distribute-rgt-in_binary64`
657×	`distribute-lft-in_binary64`
631×	`times-frac_binary64`
448×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	2294
1	648	2251
2	2637	2103

Stop Event

1×	node limit

Counts

138 → 144

Calls

Call 1

Inputs
(*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))
(+.f64 (.f64 beta (pow.f64 alpha 2)) (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (pow.f64 alpha 2)) (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (pow.f64 alpha 2)) (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 beta (pow.f64 alpha 2))
(+.f64 (.f64 beta (pow.f64 alpha 2)) (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (pow.f64 alpha 2)) (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (pow.f64 alpha 2)) (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 beta (pow.f64 alpha 2))
(+.f64 (.f64 beta (pow.f64 alpha 2)) (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (pow.f64 alpha 2)) (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (pow.f64 alpha 2)) (.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(*.f64 (+.f64 beta 2) (pow.f64 alpha 2))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 2) alpha)) (/.f64 1 (.f64 (+.f64 beta 2) alpha))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 2) alpha)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 beta 1) (.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 5))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 beta 1)) (.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 3)))))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 2 alpha) alpha))))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 2 alpha) alpha)) (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))))))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (/.f64 1 (.f64 (+.f64 2 alpha) alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) alpha))))) (+.f64 (/.f64 1 (.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 alpha 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) alpha))))) (+.f64 (/.f64 1 (.f64 (+.f64 2 alpha) alpha)) (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 alpha 2))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 3) alpha))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)))))))))
(/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (.f64 beta alpha)) (/.f64 1 alpha)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 1 alpha))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 1 (.f64 beta alpha)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2))) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 1 alpha)))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 beta (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 1 alpha))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 alpha 2)))) (+.f64 2 alpha)) (pow.f64 beta 2)) (/.f64 1 alpha)))))

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 beta (*.f64 beta alpha))
	0.0b	(*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))
	0.1b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))
✓	9.2b	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

Compiler

Compiled 81 to 41 computations (49.4% saved)

series16.0ms (0.1%)

Counts

2 → 39

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	0	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
2.0ms	alpha	@	inf	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
2.0ms	alpha	@	0	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
2.0ms	alpha	@	-inf	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
1.0ms	beta	@	-inf	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

441×	`fma-neg_binary64`
319×	`expm1-udef_binary64`
319×	`log1p-udef_binary64`
309×	`log-div_binary64`
248×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	346	31
2	5664	31

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 beta alpha beta) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 2) (cbrt.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) (*.f64 (cbrt.f64 (fma.f64 beta alpha beta)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 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(+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (fma.f64 beta alpha beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (fma.f64 beta alpha beta)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) 1) (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (fma.f64 beta alpha beta) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (cbrt.f64 (fma.f64 beta alpha beta)) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 2))) (/.f64 (fma.f64 beta alpha beta) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 2))) (cbrt.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 2))) (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 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alpha 2)) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (/.f64 (fma.f64 beta alpha beta) (+.f64 beta (+.f64 alpha 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (neg.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta alpha beta) (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 beta alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (*.f64 beta alpha))) (/.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 beta (*.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 beta alpha beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 beta alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 beta alpha beta)) (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 2) (cbrt.f64 (fma.f64 beta alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 beta alpha beta)) (sqrt.f64 (fma.f64 beta alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 beta alpha) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (*.f64 beta alpha) (-.f64 (*.f64 beta alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 beta beta) (pow.f64 (*.f64 beta alpha) 2)) (/.f64 1 (-.f64 beta (*.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (*.f64 beta alpha) (-.f64 (*.f64 beta alpha) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 beta alpha) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 beta (*.f64 beta alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (*.f64 beta alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 beta alpha) 3)) (fma.f64 beta beta (*.f64 (*.f64 beta alpha) (-.f64 (*.f64 beta alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 beta alpha) 3)) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (*.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta beta) (pow.f64 (*.f64 beta alpha) 2)) (-.f64 beta (*.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 beta alpha) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (*.f64 beta alpha) (-.f64 (*.f64 beta alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (*.f64 beta alpha) 2))) (neg.f64 (-.f64 beta (*.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 beta alpha) 2) (*.f64 beta beta)) (-.f64 (*.f64 beta alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 beta alpha beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 beta alpha beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 beta alpha beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 beta alpha beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 beta alpha beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 beta alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 beta alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (pow.f64 (exp.f64 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 beta) (+.f64 1 (expm1.f64 (*.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 beta)) (+.f64 1 (expm1.f64 (*.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 beta alpha))) (exp.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 beta) alpha) (+.f64 1 (expm1.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 beta alpha))) (+.f64 1 (expm1.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 beta alpha beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 beta alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 beta alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 beta alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 beta alpha beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta alpha beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha beta beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 beta (*.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 beta alpha) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (*.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 beta alpha) 2)) (cbrt.f64 (*.f64 beta alpha)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (*.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 beta alpha)) (sqrt.f64 (*.f64 beta alpha)) beta)))))

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

359×	`distribute-rgt-in_binary64`
352×	`distribute-lft-in_binary64`
307×	`cancel-sign-sub-inv_binary64`
246×	`distribute-neg-in_binary64`
243×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	3111
1	1003	2803
2	5144	2698

Stop Event

1×	node limit

Counts

128 → 139

Calls

Call 1

Inputs
(/.f64 (.f64 beta (+.f64 1 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 4) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) 2))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) 2))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))))) (+.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) 2))) (.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2))))))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 beta 2)))
(+.f64 (/.f64 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1)) (pow.f64 beta 3)) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))))
(+.f64 (/.f64 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1)) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) 2) (-.f64 (.f64 -1 alpha) 1)) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 alpha) 1))) (pow.f64 beta 4))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 beta 2)))))
(+.f64 (/.f64 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 alpha) 1))) (pow.f64 beta 5)) (+.f64 (/.f64 (.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (.f64 -1 alpha) 1)) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (pow.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) 2) (-.f64 (.f64 -1 alpha) 1)) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 alpha) 1))) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) 2) (-.f64 (.f64 -1 alpha) 1)) (.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (.f64 -1 alpha) 1))) (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 5)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (-.f64 (.f64 -1 alpha) 1) (+.f64 3 alpha))) (pow.f64 beta 5)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 alpha) 1) (pow.f64 beta 2))))))))
(/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (.f64 (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (.f64 (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (.f64 (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 beta (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3))))))
(/.f64 beta (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (pow.f64 alpha 2))) (/.f64 (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 (.f64 beta (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (-.f64 beta (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta))))))) (pow.f64 alpha 4))))) (/.f64 (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (+.f64 (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (-.f64 beta (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta)))))) (.f64 beta (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta)))))))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta)))))) (.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (.f64 -1 (/.f64 (+.f64 (.f64 beta (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta (+.f64 7 (.f64 2 beta))) (-.f64 beta (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta))))))) (pow.f64 alpha 4)))))) (/.f64 (.f64 beta (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 beta (pow.f64 alpha 2))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))))) (.f64 -1 (.f64 beta (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))
(+.f64 (/.f64 (.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))))) (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (pow.f64 alpha 5)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))))) (.f64 -1 (.f64 beta (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
beta
(*.f64 beta alpha)
(*.f64 beta alpha)

Outputs
(/.f64 (.f64 beta (+.f64 1 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 3)))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 3))) (neg.f64 (/.f64 (.f64 (.f64 (+.f64 1 alpha) (.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 (+.f64 alpha 3) (+.f64 4 (.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)))))
(fma.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 3)) (/.f64 (fma.f64 alpha -1 -1) (.f64 (/.f64 (pow.f64 (+.f64 alpha 3) 2) (.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2))))))
(fma.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 3)) (.f64 (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (.f64 beta beta))) (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 alpha 2) 4))))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))))
(+.f64 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 3))) (fma.f64 -1 (.f64 (pow.f64 beta 3) (fma.f64 -1 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 6)) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 (+.f64 alpha 3) (+.f64 4 (.f64 alpha 2)))) 2) (pow.f64 (+.f64 alpha 3) 3))) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (.f64 3 alpha)) (pow.f64 (+.f64 alpha 3) 2))))) (neg.f64 (/.f64 (.f64 (.f64 (+.f64 1 alpha) (.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 (+.f64 alpha 3) (+.f64 4 (.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))))
(fma.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 3)) (neg.f64 (fma.f64 (pow.f64 beta 3) (fma.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 3 alpha 7) (pow.f64 (+.f64 alpha 3) 2)) (/.f64 (fma.f64 alpha -1 -1) (/.f64 (pow.f64 (+.f64 alpha 3) 3) (/.f64 (pow.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) 2) (pow.f64 (+.f64 alpha 2) 6))))) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (.f64 beta beta)))))))
(-.f64 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 3))) (fma.f64 (pow.f64 beta 3) (fma.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 3 alpha 7) (pow.f64 (+.f64 alpha 3) 2)) (.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) 2) (pow.f64 (+.f64 alpha 2) 6)) (/.f64 (-.f64 -1 alpha) (pow.f64 (+.f64 alpha 3) 3)))) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (.f64 beta beta))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 4) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 7 (+.f64 alpha (.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 6) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha)))))) (.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))))
(fma.f64 -1 (.f64 (pow.f64 beta 4) (fma.f64 -1 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 6)) (/.f64 (.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 (+.f64 alpha 3) (+.f64 4 (.f64 alpha 2)))) (+.f64 7 (.f64 3 alpha))) (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (fma.f64 -1 (.f64 (/.f64 (fma.f64 -1 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 6)) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 (+.f64 alpha 3) (+.f64 4 (.f64 alpha 2)))) 2) (pow.f64 (+.f64 alpha 3) 3))) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (.f64 3 alpha)) (pow.f64 (+.f64 alpha 3) 2)))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 (+.f64 alpha 3) (+.f64 4 (.f64 alpha 2)))) (+.f64 alpha 3))) (/.f64 alpha (.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))))) (+.f64 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 beta (+.f64 alpha 3))) (fma.f64 -1 (.f64 (pow.f64 beta 3) (fma.f64 -1 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 6)) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 (+.f64 alpha 3) (+.f64 4 (.f64 alpha 2)))) 2) (pow.f64 (+.f64 alpha 3) 3))) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (.f64 3 alpha)) (pow.f64 (+.f64 alpha 3) 2))))) (neg.f64 (/.f64 (.f64 (.f64 (+.f64 1 alpha) (.f64 beta beta)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (.f64 (+.f64 alpha 3) (+.f64 4 (.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)))))))
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(-.f64 (+.f64 (+.f64 (/.f64 beta (.f64 alpha alpha)) (/.f64 beta (pow.f64 alpha 3))) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (+.f64 beta (+.f64 7 (.f64 beta 2))) (fma.f64 beta (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 beta (+.f64 7 (.f64 beta 2))) (-.f64 beta (.f64 beta (+.f64 beta (+.f64 7 (.f64 beta 2)))))))) (fma.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (.f64 beta (+.f64 beta (+.f64 7 (.f64 beta 2))))) (.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5)) (neg.f64 (/.f64 (fma.f64 beta (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 beta (+.f64 7 (.f64 beta 2))) (-.f64 beta (.f64 beta (+.f64 beta (+.f64 7 (.f64 beta 2))))))) (pow.f64 alpha 4))))) (/.f64 (.f64 beta (+.f64 beta (+.f64 7 (.f64 beta 2)))) (pow.f64 alpha 3)))
(+.f64 (-.f64 (-.f64 (/.f64 (/.f64 beta alpha) alpha) (/.f64 (-.f64 (fma.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (.f64 beta (+.f64 beta (fma.f64 beta 2 7)))))) (.f64 (+.f64 beta (fma.f64 beta 2 7)) (fma.f64 beta (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 beta (fma.f64 beta 2 7)) (-.f64 beta (.f64 beta (+.f64 beta (fma.f64 beta 2 7)))))))) (pow.f64 alpha 5))) (/.f64 (fma.f64 beta (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 beta (fma.f64 beta 2 7)) (-.f64 beta (.f64 beta (+.f64 beta (fma.f64 beta 2 7)))))) (pow.f64 alpha 4))) (-.f64 (/.f64 beta (pow.f64 alpha 3)) (*.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 beta (fma.f64 beta 2 7)))))
(+.f64 (-.f64 (/.f64 (/.f64 beta alpha) alpha) (+.f64 (/.f64 (fma.f64 beta (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 7 (.f64 3 beta)) (-.f64 beta (.f64 beta (+.f64 7 (.f64 3 beta)))))) (pow.f64 alpha 4)) (/.f64 (-.f64 (fma.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (.f64 beta (+.f64 7 (.f64 3 beta)))))) (.f64 (+.f64 7 (.f64 3 beta)) (fma.f64 beta (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (.f64 (+.f64 7 (.f64 3 beta)) (-.f64 beta (.f64 beta (+.f64 7 (.f64 3 beta)))))))) (pow.f64 alpha 5)))) (-.f64 (/.f64 beta (pow.f64 alpha 3)) (.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 7 (.f64 3 beta)))))
(/.f64 beta (pow.f64 alpha 2))
(/.f64 beta (*.f64 alpha alpha))
(/.f64 (/.f64 beta alpha) alpha)
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta (.f64 alpha alpha)) (neg.f64 (/.f64 (.f64 -1 (-.f64 beta (*.f64 beta (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))))) (pow.f64 alpha 3))))
(-.f64 (/.f64 (/.f64 beta alpha) alpha) (/.f64 (fma.f64 beta -1 (*.f64 beta (+.f64 beta (fma.f64 beta 2 7)))) (pow.f64 alpha 3)))
(+.f64 (/.f64 (/.f64 beta alpha) alpha) (/.f64 (-.f64 beta (.f64 beta (+.f64 7 (.f64 3 beta)))) (pow.f64 alpha 3)))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))))) (.f64 -1 (.f64 beta (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))
(+.f64 (/.f64 beta (.f64 alpha alpha)) (.f64 -1 (+.f64 (/.f64 (.f64 -1 (-.f64 beta (.f64 beta (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))))) (pow.f64 alpha 3)) (/.f64 (.f64 -1 (+.f64 (.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)) (.f64 -1 (-.f64 beta (.f64 beta (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)))))) (.f64 beta (fma.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))
(-.f64 (-.f64 (/.f64 (/.f64 beta alpha) alpha) (/.f64 (fma.f64 beta -1 (.f64 beta (+.f64 beta (fma.f64 beta 2 7)))) (pow.f64 alpha 3))) (/.f64 (neg.f64 (fma.f64 (+.f64 beta (fma.f64 beta 2 7)) (fma.f64 beta -1 (.f64 beta (+.f64 beta (fma.f64 beta 2 7)))) (.f64 beta (-.f64 (.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4)))
(+.f64 (/.f64 (-.f64 beta (.f64 beta (+.f64 7 (.f64 3 beta)))) (pow.f64 alpha 3)) (+.f64 (/.f64 (/.f64 beta alpha) alpha) (/.f64 (fma.f64 (+.f64 7 (.f64 3 beta)) (-.f64 (.f64 beta (+.f64 7 (.f64 3 beta))) beta) (.f64 beta (.f64 (+.f64 beta 2) (-.f64 (.f64 -2 (+.f64 beta 3)) (+.f64 beta 2))))) (pow.f64 alpha 4))))
(+.f64 (/.f64 (.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))))) (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (pow.f64 alpha 5)) (+.f64 (.f64 -1 (/.f64 (.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (-.f64 (.f64 -1 beta) (.f64 -1 (.f64 beta (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3))))))) (.f64 -1 (.f64 beta (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))))
(+.f64 (/.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)) (/.f64 (pow.f64 alpha 5) (.f64 -1 (+.f64 (.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)) (.f64 -1 (-.f64 beta (.f64 beta (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)))))) (.f64 beta (fma.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (pow.f64 (+.f64 beta 2) 2)))))))) (fma.f64 -1 (/.f64 (.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5)) (+.f64 (/.f64 beta (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 beta (.f64 beta (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))))) (/.f64 (pow.f64 alpha 5) (fma.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (pow.f64 (+.f64 beta 2) 2))))) (.f64 -1 (+.f64 (/.f64 (.f64 -1 (-.f64 beta (.f64 beta (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3))))) (pow.f64 alpha 3)) (/.f64 (.f64 -1 (+.f64 (.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)) (.f64 -1 (-.f64 beta (.f64 beta (+.f64 beta (fma.f64 2 (+.f64 beta 2) 3)))))) (.f64 beta (fma.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (neg.f64 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))))
(+.f64 (+.f64 (-.f64 (/.f64 (.f64 1 (fma.f64 (+.f64 beta (fma.f64 beta 2 7)) (fma.f64 beta -1 (.f64 beta (+.f64 beta (fma.f64 beta 2 7)))) (.f64 beta (-.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4)) (/.f64 (fma.f64 beta -1 (.f64 beta (+.f64 beta (fma.f64 beta 2 7)))) (pow.f64 alpha 3))) (-.f64 (/.f64 (/.f64 beta alpha) alpha) (.f64 (/.f64 (fma.f64 beta -1 (.f64 beta (+.f64 beta (fma.f64 beta 2 7)))) (pow.f64 alpha 5)) (-.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (-.f64 (.f64 (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 alpha 5)) (neg.f64 (fma.f64 (+.f64 beta (fma.f64 beta 2 7)) (fma.f64 beta -1 (.f64 beta (+.f64 beta (fma.f64 beta 2 7)))) (.f64 beta (-.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 (/.f64 beta (pow.f64 alpha 5)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 (/.f64 (+.f64 7 (.f64 3 beta)) (pow.f64 alpha 5)) (-.f64 (.f64 (+.f64 7 (.f64 3 beta)) (-.f64 beta (.f64 beta (+.f64 7 (.f64 3 beta))))) (.f64 beta (.f64 (+.f64 beta 2) (-.f64 (.f64 -2 (+.f64 beta 3)) (+.f64 beta 2)))))) (+.f64 (+.f64 (/.f64 (-.f64 beta (.f64 beta (+.f64 7 (.f64 3 beta)))) (pow.f64 alpha 3)) (+.f64 (/.f64 (fma.f64 (+.f64 7 (.f64 3 beta)) (-.f64 (.f64 beta (+.f64 7 (.f64 3 beta))) beta) (.f64 beta (.f64 (+.f64 beta 2) (-.f64 (.f64 -2 (+.f64 beta 3)) (+.f64 beta 2))))) (pow.f64 alpha 4)) (/.f64 (-.f64 beta (.f64 beta (+.f64 7 (.f64 3 beta)))) (/.f64 (pow.f64 alpha 5) (.f64 (+.f64 beta 2) (-.f64 (.f64 -2 (+.f64 beta 3)) (+.f64 beta 2))))))) (-.f64 (/.f64 (/.f64 beta alpha) alpha) (.f64 (/.f64 beta (pow.f64 alpha 5)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(*.f64 (+.f64 1 alpha) beta)
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
(.f64 -1 (.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
(*.f64 beta (+.f64 1 alpha))
(+.f64 beta (*.f64 beta alpha))
beta
(*.f64 beta alpha)
(*.f64 beta alpha)

localize84.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 171 to 106 computations (38% saved)

series57.0ms (0.5%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
11.0ms	beta	@	inf	(/.f64 (+.f64 2 alpha) (/.f64 beta (-.f64 -1 alpha)))
8.0ms	alpha	@	inf	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (+.f64 2 alpha) (/.f64 beta (-.f64 -1 alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
5.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (+.f64 2 alpha) (/.f64 beta (-.f64 -1 alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
4.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (+.f64 2 alpha) (/.f64 beta (-.f64 -1 alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
3.0ms	alpha	@	0	(/.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (+.f64 2 alpha) (/.f64 beta (-.f64 -1 alpha))))) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

287×	`add-sqr-sqrt_binary64`
282×	`*-un-lft-identity_binary64`
282×	`pow1_binary64`
269×	`add-cbrt-cube_binary64`
268×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	133
1	538	127

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))) (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))) (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))) (/.f64 1 (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 (+.f64 beta alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))) (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2))))) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))) (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))) (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))) (.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 beta) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta)))) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))) 2) (cbrt.f64 (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 beta -2)) (cbrt.f64 (/.f64 1 beta)) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))) (sqrt.f64 (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta))))) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 beta -1/2) (pow.f64 beta -1/2) (fma.f64 (+.f64 alpha 2) (/.f64 (-.f64 -1 alpha) beta) (+.f64 1 (+.f64 alpha (/.f64 alpha beta)))))))))

simplify139.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

455×	`+-commutative_binary64`
434×	`associate-+r+_binary64`
385×	`fma-def_binary64`
354×	`associate-+l+_binary64`
315×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	486	6628
1	1791	6167
2	7592	6124

Stop Event

1×	node limit

Counts

230 → 248

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(-.f64 (+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 3 alpha)))) (+.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (/.f64 (.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (+.f64 5 (.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))
(-.f64 (+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 3 alpha)))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (.f64 2 alpha))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))) (+.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))) (/.f64 (.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (+.f64 5 (.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))
(-.f64 (+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (.f64 beta (+.f64 3 alpha)))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (.f64 2 alpha))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (/.f64 (.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (.f64 (-.f64 (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (.f64 2 alpha))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (+.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))))) (/.f64 (.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (+.f64 5 (.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha))) (pow.f64 beta 3)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha)))) (+.f64 5 (.f64 2 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha)))) (+.f64 5 (.f64 2 alpha))))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha)))) (+.f64 5 (.f64 2 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 -1 alpha)) (+.f64 1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha)))))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 -1 alpha)) (+.f64 1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha)))))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 -1 alpha)) (+.f64 1 (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha)))))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 -1 alpha)) (+.f64 1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha)))))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (.f64 (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 -1 alpha)) (+.f64 1 (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha)))) (+.f64 3 alpha))) (pow.f64 beta 5)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 -1 alpha)) (+.f64 1 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))))))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 -1 alpha)) (+.f64 1 (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha)))))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2)))))))
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(-.f64 (+.f64 (.f64 alpha (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 1 (.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (.f64 (-.f64 1 (/.f64 1 beta)) (+.f64 5 (.f64 2 beta))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 1 (.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(-.f64 (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (.f64 (+.f64 5 (.f64 2 beta)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 1 (.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (.f64 (-.f64 1 (/.f64 1 beta)) (+.f64 5 (.f64 2 beta))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (pow.f64 alpha 2)) (+.f64 (.f64 alpha (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 1 (.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (.f64 (-.f64 1 (/.f64 1 beta)) (+.f64 5 (.f64 2 beta))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 1 (.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(-.f64 (+.f64 (.f64 (pow.f64 alpha 3) (-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 (.f64 (-.f64 1 (/.f64 1 beta)) (+.f64 5 (.f64 2 beta))) (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (.f64 (+.f64 5 (.f64 2 beta)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 1 (.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (.f64 (-.f64 1 (/.f64 1 beta)) (+.f64 5 (.f64 2 beta))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (.f64 (-.f64 (/.f64 1 (.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (.f64 (+.f64 5 (.f64 2 beta)) (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 1 (.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (.f64 (-.f64 1 (/.f64 1 beta)) (+.f64 5 (.f64 2 beta))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (pow.f64 alpha 2)) (+.f64 (.f64 alpha (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 1 (.f64 beta (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 (.f64 (-.f64 1 (/.f64 1 beta)) (+.f64 5 (.f64 2 beta))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (/.f64 1 (.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 -1 beta)
(-.f64 (/.f64 1 alpha) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 2 (.f64 beta alpha)) (.f64 -1 (/.f64 (+.f64 5 (.f64 2 beta)) (.f64 beta alpha))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 beta (pow.f64 alpha 2)))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 (.f64 (+.f64 5 (.f64 2 beta)) (-.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 5 (.f64 2 beta)) beta)) (.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 2)) (+.f64 (/.f64 1 (.f64 beta (pow.f64 alpha 2))) (+.f64 (.f64 2 (/.f64 1 (.f64 beta alpha))) (.f64 -1 (/.f64 (+.f64 5 (.f64 2 beta)) (.f64 beta alpha)))))))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 1 (+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) beta)) (.f64 (+.f64 5 (.f64 2 beta)) (-.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 5 (.f64 2 beta)) beta)) (.f64 2 (/.f64 1 beta)))))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (-.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 5 (.f64 2 beta)) beta)) (.f64 2 (/.f64 1 beta))))))) (pow.f64 alpha 3))) (/.f64 1 alpha))) (+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 beta (pow.f64 alpha 2)))) (+.f64 (/.f64 (.f64 (+.f64 5 (.f64 2 beta)) (-.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 5 (.f64 2 beta)) beta)) (.f64 2 (/.f64 1 beta))))) (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 5 (.f64 2 beta)) (.f64 beta alpha))) (+.f64 (/.f64 1 (.f64 beta (pow.f64 alpha 2))) (.f64 2 (/.f64 1 (*.f64 beta alpha)))))))))
(/.f64 -1 beta)
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 beta)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) beta)))) alpha)) (/.f64 1 beta))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 beta)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) beta)))) alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 beta (pow.f64 alpha 2)))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta (pow.f64 alpha 2))) (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 (.f64 2 (/.f64 1 beta)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) beta))))) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (/.f64 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (-.f64 (.f64 2 (/.f64 1 beta)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) beta)))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 beta)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) beta)))) alpha)) (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) beta)) (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 (.f64 2 (/.f64 1 beta)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) beta))))))))) (pow.f64 alpha 3))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 beta (pow.f64 alpha 2)))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (.f64 beta (pow.f64 alpha 2))) (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 (.f64 2 (/.f64 1 beta)) (+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) beta))))) (pow.f64 alpha 2))))))
(/.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (*.f64 beta (+.f64 2 alpha)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 1 (.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (.f64 beta (+.f64 2 alpha))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 (+.f64 2 alpha)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 alpha (.f64 beta (+.f64 2 alpha))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 (+.f64 2 alpha))))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))))
(-.f64 (+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 1 (.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 alpha (.f64 beta (+.f64 2 alpha))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 (+.f64 2 alpha)))))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (.f64 -1 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))) (/.f64 (.f64 (-.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 -1 alpha)) 1) (pow.f64 beta 2))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 -1 alpha)) 1)) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 -1 alpha)) 1) (pow.f64 beta 2)))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (.f64 -1 (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 -1 alpha)) 1)) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 4)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (.f64 -1 (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 -1 alpha)) 1)) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (.f64 -1 alpha)) 1) (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))
(/.f64 (-.f64 1 (/.f64 1 beta)) (+.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 2 (/.f64 1 (.f64 beta (+.f64 beta 2)))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (/.f64 1 (*.f64 beta (+.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (.f64 2 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)) (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 2 (/.f64 1 (.f64 beta (+.f64 beta 2)))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha))) (/.f64 1 (.f64 beta (+.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (.f64 2 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (.f64 beta (+.f64 beta 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)) (+.f64 (.f64 (pow.f64 alpha 3) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (.f64 2 (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))))) (.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 2 (/.f64 1 (.f64 beta (+.f64 beta 2)))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)))) (/.f64 1 (*.f64 beta (+.f64 beta 2))))
(*.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 1 (.f64 -1 (/.f64 alpha beta))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) beta)) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (/.f64 1 alpha))) (+.f64 (/.f64 (.f64 (-.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) beta)) (.f64 2 (/.f64 1 beta)))) (+.f64 beta 2)) alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) beta)) (+.f64 (/.f64 1 (.f64 beta alpha)) (*.f64 2 (/.f64 1 beta))))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 alpha beta)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 2) (-.f64 1 (+.f64 (/.f64 1 beta) (.f64 (-.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) beta)) (.f64 2 (/.f64 1 beta)))) (+.f64 beta 2))))) (pow.f64 alpha 2))) (/.f64 1 alpha)))) (+.f64 (/.f64 (.f64 (-.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) beta)) (.f64 2 (/.f64 1 beta)))) (+.f64 beta 2)) alpha) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) beta)) (+.f64 (/.f64 1 (.f64 beta alpha)) (.f64 2 (/.f64 1 beta))))))
(*.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 beta)) 1)) (.f64 -1 (/.f64 alpha beta))) (.f64 -1 (/.f64 (+.f64 beta 2) beta)))
(-.f64 (+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 beta)) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (-.f64 1 (/.f64 1 beta))) (.f64 -1 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 beta)) 1)) (.f64 -1 (/.f64 (+.f64 beta 2) beta)))))) alpha)) (.f64 -1 (/.f64 alpha beta)))) (*.f64 -1 (/.f64 (+.f64 beta 2) beta)))
(-.f64 (+.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 beta)) 1)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (-.f64 1 (/.f64 1 beta))) (.f64 -1 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 beta)) 1)) (.f64 -1 (/.f64 (+.f64 beta 2) beta)))))) alpha)) (+.f64 (.f64 -1 (/.f64 alpha beta)) (/.f64 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 (-.f64 1 (/.f64 1 beta))) (.f64 -1 (.f64 (+.f64 beta 2) (-.f64 (.f64 -1 (-.f64 (.f64 2 (/.f64 1 beta)) 1)) (.f64 -1 (/.f64 (+.f64 beta 2) beta))))))) (pow.f64 alpha 2))))) (.f64 -1 (/.f64 (+.f64 beta 2) beta)))
(/.f64 -2 beta)
(-.f64 (.f64 -3 (/.f64 alpha beta)) (.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (.f64 -3 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (.f64 -3 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(*.f64 -1 (/.f64 (pow.f64 alpha 2) beta))
(+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (.f64 -3 (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (.f64 -3 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (.f64 -3 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(*.f64 -1 (/.f64 (pow.f64 alpha 2) beta))
(+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (.f64 -3 (/.f64 alpha beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (.f64 -3 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (.f64 -3 (/.f64 alpha beta))) (*.f64 2 (/.f64 1 beta)))
(.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(/.f64 (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) alpha)) beta)
(+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) alpha))))
(+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) alpha))))
(+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) alpha))))
(+.f64 1 alpha)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta)) alpha))))
(+.f64 1 alpha)
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 -1 alpha)) 1) beta)) alpha))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 -1 alpha)) 1) beta)) alpha))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 -1 alpha)) 1) beta)) alpha))
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 1 (.f64 (-.f64 1 (.f64 2 (/.f64 1 beta))) alpha)) (/.f64 1 beta))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (+.f64 1 (.f64 (-.f64 1 (*.f64 2 (/.f64 1 beta))) alpha))) (/.f64 1 beta))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (+.f64 1 (.f64 (-.f64 1 (*.f64 2 (/.f64 1 beta))) alpha))) (/.f64 1 beta))
(*.f64 -1 (/.f64 (pow.f64 alpha 2) beta))
(+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (.f64 (-.f64 1 (*.f64 2 (/.f64 1 beta))) alpha))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (+.f64 1 (.f64 (-.f64 1 (*.f64 2 (/.f64 1 beta))) alpha))) (/.f64 1 beta))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (+.f64 1 (.f64 (-.f64 1 (*.f64 2 (/.f64 1 beta))) alpha))) (/.f64 1 beta))
(*.f64 -1 (/.f64 (pow.f64 alpha 2) beta))
(+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (.f64 -1 (.f64 (-.f64 (.f64 2 (/.f64 1 beta)) 1) alpha)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (+.f64 1 (.f64 -1 (.f64 (-.f64 (.f64 2 (/.f64 1 beta)) 1) alpha)))) (/.f64 1 beta))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 2) beta)) (+.f64 1 (.f64 -1 (.f64 (-.f64 (.f64 2 (/.f64 1 beta)) 1) alpha)))) (/.f64 1 beta))

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

eval1.2s (10.2%)

Compiler: Compiled 50698 to 35095 computations (30.8% saved)

prune236.0ms (2%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1080	21	1101
Fresh	8	7	15
Picked	1	0	1
Done	3	1	4
Total	1092	29	1121

Error

0.0b

Counts

1121 → 29

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.7b	(/.f64 -1 beta)
	29.3b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	2.9b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) 3))
	3.7b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	62.3b	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
	17.5b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha))))))
▶	61.2b	(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 alpha alpha)))
	32.0b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
	43.7b	(/.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	15.7b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	0.2b	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 3 beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	30.1b	(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	2.4b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 beta (+.f64 5 (.f64 2 alpha))) (pow.f64 beta 2)))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	9.7b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
	33.3b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	41.1b	(/.f64 (/.f64 alpha beta) beta)
	29.9b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
▶	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
▶	25.3b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	31.9b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
✓	32.0b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	9.7b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)))) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	62.2b	(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
	45.4b	(/.f64 (.f64 beta alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	62.7b	(/.f64 (/.f64 beta alpha) alpha)
	33.2b	(/.f64 1 (*.f64 beta beta))
	3.9b	(.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
▶	27.4b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
	62.3b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 alpha (*.f64 alpha (+.f64 2 beta))))

Compiler

Compiled 1081 to 784 computations (27.5% saved)

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
✓	0.0b	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta)))
✓	0.0b	(/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))
✓	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 95 to 64 computations (32.6% saved)

series20.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta)))
2.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta)))
2.0ms	beta	@	0	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta)))
1.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta)))
1.0ms	alpha	@	0	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))

rewrite125.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

424×	`fma-neg_binary64`
367×	`log1p-udef_binary64`
366×	`expm1-udef_binary64`
211×	`add-sqr-sqrt_binary64`
206×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	97
1	400	97
2	6705	97

Stop Event

1×	node limit

Counts

4 → 172

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 1 (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) 2)) (.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))) (/.f64 1 (+.f64 alpha (+.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))))) 2))))) (#(struct:change #<rule 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simplify162.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

819×	`distribute-rgt-in_binary64`
803×	`distribute-lft-in_binary64`
539×	`fma-def_binary64`
347×	`times-frac_binary64`
278×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	640	9219
1	2513	8714

Stop Event

1×	node limit

Counts

268 → 322

Calls

Call 1

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

Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 alpha (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 beta 2) 7))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (fma.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (.f64 -1 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (.f64 (pow.f64 alpha 3) (fma.f64 -1 (.f64 (/.f64 (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 beta 2) 7))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 (.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha (neg.f64 (.f64 (.f64 alpha alpha) (+.f64 (.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (.f64 beta 2) 7))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (fma.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 (fma.f64 alpha (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (.f64 2 beta)))) (pow.f64 alpha 3)))
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(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (+.f64 alpha (neg.f64 (/.f64 (+.f64 2 alpha) (/.f64 (.f64 beta beta) (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))))))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))))))))) (/.f64 (+.f64 1 alpha) (/.f64 beta (+.f64 2 alpha))))
(+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 (/.f64 alpha beta)) (+.f64 (-.f64 alpha (.f64 (/.f64 (+.f64 2 alpha) (.f64 beta beta)) (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))))) (.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha))))))) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha))))
(+.f64 1 alpha)
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) beta)) alpha))
(+.f64 1 (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) beta) alpha))
(+.f64 1 (-.f64 alpha (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha))) beta)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 2)) alpha)))
(+.f64 1 (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) beta) (+.f64 alpha (/.f64 (.f64 -1 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) (/.f64 (*.f64 beta beta) (+.f64 2 alpha))))))
(+.f64 (-.f64 1 (/.f64 (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) beta)) (+.f64 alpha (.f64 (/.f64 (fma.f64 -1 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha))) beta) (/.f64 (+.f64 2 alpha) beta))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) beta)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 1 alpha)) (.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) alpha))))
(+.f64 1 (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) beta) (+.f64 (/.f64 (.f64 -1 (+.f64 1 (-.f64 alpha (.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) (/.f64 (.f64 beta beta) (+.f64 2 alpha))) (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 2 alpha))))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) alpha))))
(+.f64 (-.f64 1 (/.f64 (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) beta)) (+.f64 (.f64 (/.f64 (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) beta) (/.f64 (+.f64 2 alpha) beta)) (-.f64 alpha (/.f64 (fma.f64 -1 (+.f64 1 alpha) (.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))))))

localize5.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 2 alpha) (.f64 alpha alpha))
✓	2.1b	(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 alpha alpha)))

Compiler

Compiled 32 to 18 computations (43.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`log-prod_binary64`
386×	`exp-prod_binary64`
324×	`pow-prod-down_binary64`
273×	`fma-def_binary64`
254×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	202	26
2	2906	26

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 alpha -2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 alpha -2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 alpha -2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 alpha -2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (pow.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 (pow.f64 alpha -2) (+.f64 alpha 2)))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 alpha 3) (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 alpha 3) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 alpha alpha)) (pow.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 alpha alpha) 2) (pow.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 alpha) (*.f64 alpha (+.f64 alpha 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 alpha) (*.f64 alpha (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 alpha) (*.f64 alpha (+.f64 alpha 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 alpha) (*.f64 alpha (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (*.f64 alpha alpha)) (fma.f64 alpha (-.f64 alpha 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (*.f64 alpha alpha)) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 alpha alpha) (+.f64 8 (pow.f64 alpha 3))) (fma.f64 alpha (-.f64 alpha 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 alpha alpha) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 alpha 2))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 alpha 2))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 alpha 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 alpha) (*.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 alpha 2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 alpha (sqrt.f64 (+.f64 alpha 2))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 alpha (sqrt.f64 (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha 2) (*.f64 alpha alpha))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (*.f64 alpha alpha) (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (*.f64 alpha alpha) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 alpha 3) (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 alpha 3) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 alpha alpha) (pow.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) alpha (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) alpha (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 alpha alpha) 2 (pow.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 alpha) alpha) (pow.f64 (cbrt.f64 alpha) 5) (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 alpha) alpha) (pow.f64 (cbrt.f64 alpha) 5) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 alpha 3/2) (pow.f64 alpha 3/2) (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 alpha 3/2) (pow.f64 alpha 3/2) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) 4) (cbrt.f64 alpha) (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) 4) (cbrt.f64 alpha) (*.f64 (*.f64 alpha alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 alpha 5/2) (sqrt.f64 alpha) (*.f64 2 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 alpha 5/2) (sqrt.f64 alpha) (*.f64 (*.f64 alpha alpha) 2))))))

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

664×	`distribute-neg-frac_binary64`
515×	`associate-l_binary64`
405×	`associate-r_binary64`
334×	`distribute-rgt-neg-in_binary64`
332×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	354
1	100	325
2	231	325
3	546	325
4	1529	325
5	5892	325

Stop Event

1×	node limit

Counts

129 → 126

Calls

Call 1

Inputs
(/.f64 1/2 (pow.f64 alpha 2))
(+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 1/4 (/.f64 1 alpha)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 1/4 (/.f64 1 alpha))) 1/8)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 1/4 (/.f64 1 alpha)) (*.f64 1/16 alpha))) 1/8)
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 5))) (/.f64 1 (pow.f64 alpha 3))))
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 (pow.f64 alpha 3)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 5))) (/.f64 1 (pow.f64 alpha 3))))
(*.f64 2 (pow.f64 alpha 2))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(pow.f64 alpha 3)
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(pow.f64 alpha 3)
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))

Outputs
(/.f64 1/2 (pow.f64 alpha 2))
(/.f64 1/2 (*.f64 alpha alpha))
(+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 1/4 (/.f64 1 alpha)))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/4 alpha))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (.f64 1/4 (/.f64 1 alpha))) 1/8)
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (-.f64 (/.f64 1/4 alpha) 1/8))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (+.f64 (/.f64 1/4 alpha) -1/8))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 1/4 (/.f64 1 alpha)) (*.f64 1/16 alpha))) 1/8)
(+.f64 (/.f64 1/2 (.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 1/4 alpha) (.f64 alpha 1/16)) 1/8))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (+.f64 (fma.f64 alpha 1/16 (/.f64 1/4 alpha)) -1/8))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/4 alpha)) (fma.f64 alpha 1/16 -1/8))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -1 (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 (pow.f64 alpha 3)))
(+.f64 (/.f64 2 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 2 (pow.f64 alpha 4)) (/.f64 -1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 5))) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 2 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (/.f64 4 (pow.f64 alpha 5)))))
(+.f64 (/.f64 2 (pow.f64 alpha 4)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -1 (pow.f64 alpha 3))) (/.f64 4 (pow.f64 alpha 5))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 2 (pow.f64 alpha 4)) (/.f64 -1 (pow.f64 alpha 3))) (/.f64 -4 (pow.f64 alpha 5))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 -4 (pow.f64 alpha 5)) (+.f64 (/.f64 2 (pow.f64 alpha 4)) (/.f64 -1 (pow.f64 alpha 3)))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 2 (pow.f64 alpha 4)) (+.f64 (/.f64 -1 (pow.f64 alpha 3)) (/.f64 -4 (pow.f64 alpha 5)))))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -1 (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (/.f64 1 (pow.f64 alpha 3)))
(+.f64 (/.f64 2 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 2 (pow.f64 alpha 4)) (/.f64 -1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 alpha 5))) (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 2 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 (pow.f64 alpha 3)) (/.f64 4 (pow.f64 alpha 5)))))
(+.f64 (/.f64 2 (pow.f64 alpha 4)) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -1 (pow.f64 alpha 3))) (/.f64 4 (pow.f64 alpha 5))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 2 (pow.f64 alpha 4)) (/.f64 -1 (pow.f64 alpha 3))) (/.f64 -4 (pow.f64 alpha 5))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 -4 (pow.f64 alpha 5)) (+.f64 (/.f64 2 (pow.f64 alpha 4)) (/.f64 -1 (pow.f64 alpha 3)))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 2 (pow.f64 alpha 4)) (+.f64 (/.f64 -1 (pow.f64 alpha 3)) (/.f64 -4 (pow.f64 alpha 5)))))
(*.f64 2 (pow.f64 alpha 2))
(.f64 2 (.f64 alpha alpha))
(.f64 alpha (.f64 alpha 2))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (.f64 2 (.f64 alpha alpha)))
(.f64 (.f64 alpha alpha) (+.f64 alpha 2))
(.f64 (+.f64 alpha 2) (.f64 alpha alpha))
(.f64 alpha (.f64 alpha (+.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (.f64 2 (.f64 alpha alpha)))
(.f64 (.f64 alpha alpha) (+.f64 alpha 2))
(.f64 (+.f64 alpha 2) (.f64 alpha alpha))
(.f64 alpha (.f64 alpha (+.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (.f64 2 (.f64 alpha alpha)))
(.f64 (.f64 alpha alpha) (+.f64 alpha 2))
(.f64 (+.f64 alpha 2) (.f64 alpha alpha))
(.f64 alpha (.f64 alpha (+.f64 alpha 2)))
(pow.f64 alpha 3)
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (.f64 2 (.f64 alpha alpha)))
(.f64 (.f64 alpha alpha) (+.f64 alpha 2))
(.f64 (+.f64 alpha 2) (.f64 alpha alpha))
(.f64 alpha (.f64 alpha (+.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (.f64 2 (.f64 alpha alpha)))
(.f64 (.f64 alpha alpha) (+.f64 alpha 2))
(.f64 (+.f64 alpha 2) (.f64 alpha alpha))
(.f64 alpha (.f64 alpha (+.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (.f64 2 (.f64 alpha alpha)))
(.f64 (.f64 alpha alpha) (+.f64 alpha 2))
(.f64 (+.f64 alpha 2) (.f64 alpha alpha))
(.f64 alpha (.f64 alpha (+.f64 alpha 2)))
(pow.f64 alpha 3)
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (.f64 2 (.f64 alpha alpha)))
(.f64 (.f64 alpha alpha) (+.f64 alpha 2))
(.f64 (+.f64 alpha 2) (.f64 alpha alpha))
(.f64 alpha (.f64 alpha (+.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (.f64 2 (.f64 alpha alpha)))
(.f64 (.f64 alpha alpha) (+.f64 alpha 2))
(.f64 (+.f64 alpha 2) (.f64 alpha alpha))
(.f64 alpha (.f64 alpha (+.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (*.f64 2 (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (.f64 2 (.f64 alpha alpha)))
(.f64 (.f64 alpha alpha) (+.f64 alpha 2))
(.f64 (+.f64 alpha 2) (.f64 alpha alpha))
(.f64 alpha (.f64 alpha (+.f64 alpha 2)))

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
	2.3b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))

Compiler

Compiled 69 to 46 computations (33.3% saved)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 63 to 41 computations (34.9% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`prod-diff_binary64`
595×	`fma-def_binary64`
311×	`fma-neg_binary64`
293×	`log-div_binary64`
241×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	269	35
2	4261	35

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (neg.f64 alpha) -1) (+.f64 (+.f64 2 alpha) beta)) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 2) (cbrt.f64 (pow.f64 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(/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 1 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3))) (+.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (-.f64 1 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) -1)) (+.f64 (+.f64 alpha beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 beta 3))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 (+.f64 alpha beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 alpha) (+.f64 -2 (neg.f64 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 2 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 2 alpha) beta))) 1))))))

simplify107.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

370×	`cancel-sign-sub-inv_binary64`
356×	`distribute-rgt-in_binary64`
342×	`distribute-lft-in_binary64`
276×	`distribute-neg-in_binary64`
269×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	3282
1	1117	3075
2	5431	2960

Stop Event

1×	node limit

Counts

125 → 151

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(/.f64 1 alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 4 (.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (.f64 2 beta))))))) (.f64 -1 (.f64 (+.f64 beta 3) (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 4 (.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))))))) (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (-.f64 1 (.f64 -1 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 beta (+.f64 5 (.f64 2 alpha)))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (.f64 2 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))) (.f64 -1 (/.f64 (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)) (.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (.f64 (+.f64 5 (.f64 2 alpha)) (+.f64 3 alpha))))) (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (.f64 2 alpha)) 2)))) (+.f64 5 (.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha)) (pow.f64 beta 3))))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 alpha) (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (.f64 (pow.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))))
(/.f64 1 (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)))
(+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1)
(+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1)))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 1 alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (.f64 -1 (+.f64 beta 2)) 1)) (pow.f64 alpha 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))))

Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))
(fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(fma.f64 -1 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha)))
(-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))) (.f64 alpha (.f64 alpha (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (/.f64 (.f64 (+.f64 5 (.f64 2 beta)) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (.f64 2 beta))) (.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (.f64 beta 2) (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (.f64 (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 2)))) (+.f64 beta 2))))) (pow.f64 alpha 3) (fma.f64 -1 (.f64 (.f64 alpha alpha) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 (-.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))))
(fma.f64 (-.f64 (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (+.f64 beta 3) 3)) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (-.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (.f64 (/.f64 (fma.f64 beta 2 5) (+.f64 beta 3)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2))))) (pow.f64 alpha 3) (-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))) (.f64 alpha (.f64 alpha (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (fma.f64 2 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))))))
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(-.f64 1 (/.f64 (+.f64 1 beta) alpha))
(+.f64 1 (/.f64 (-.f64 -1 beta) alpha))
(+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 1 beta) alpha) 1) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))
(+.f64 1 (-.f64 (.f64 (/.f64 (+.f64 1 beta) (.f64 alpha alpha)) (+.f64 beta 2)) (/.f64 (+.f64 1 beta) alpha)))
(+.f64 1 (fma.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) (+.f64 beta 2) (/.f64 (-.f64 -1 beta) alpha)))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) alpha)) 1)))
(fma.f64 -1 (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 beta) alpha) 1) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))))
(-.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (+.f64 1 beta) (.f64 alpha alpha)) (+.f64 beta 2)) (/.f64 (+.f64 1 beta) alpha))) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (+.f64 1 (fma.f64 (/.f64 (+.f64 1 beta) (.f64 alpha alpha)) (+.f64 beta 2) (/.f64 (-.f64 -1 beta) alpha))) (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (-.f64 -1 beta)))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 1 beta) alpha) 1)
(-.f64 1 (/.f64 (+.f64 1 beta) alpha))
(+.f64 1 (/.f64 (-.f64 -1 beta) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 1 beta) alpha) 1) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))
(+.f64 1 (-.f64 (.f64 (/.f64 (+.f64 1 beta) (.f64 alpha alpha)) (+.f64 beta 2)) (/.f64 (+.f64 1 beta) alpha)))
(+.f64 1 (fma.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) (+.f64 beta 2) (/.f64 (-.f64 -1 beta) alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (.f64 -1 (+.f64 beta 2)) 1)) (pow.f64 alpha 3)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))
(fma.f64 -1 (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 beta) alpha) 1) (/.f64 (+.f64 1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))))
(-.f64 (+.f64 1 (-.f64 (.f64 (/.f64 (+.f64 1 beta) (.f64 alpha alpha)) (+.f64 beta 2)) (/.f64 (+.f64 1 beta) alpha))) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (+.f64 1 (fma.f64 (/.f64 (+.f64 1 beta) (.f64 alpha alpha)) (+.f64 beta 2) (/.f64 (-.f64 -1 beta) alpha))) (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (-.f64 -1 beta)))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 1 (+.f64 2 alpha)) (-.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (.f64 beta beta) (/.f64 (+.f64 2 alpha) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (fma.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha))) (.f64 (/.f64 (.f64 beta beta) (+.f64 2 alpha)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (*.f64 beta (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 -1 (.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (/.f64 (+.f64 2 alpha) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (-.f64 (+.f64 (fma.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha))) (.f64 (/.f64 (.f64 beta beta) (+.f64 2 alpha)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.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) 4))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (-.f64 (/.f64 (.f64 beta (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (/.f64 1 (+.f64 2 alpha)) (.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (neg.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) (+.f64 2 alpha)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 alpha beta) (.f64 (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (+.f64 2 alpha))))
(+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (+.f64 1 alpha))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (neg.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) (+.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (-.f64 (/.f64 alpha beta) (.f64 (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (+.f64 2 alpha))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (fma.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 2) (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (neg.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) (+.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (+.f64 (/.f64 1 beta) (-.f64 (/.f64 alpha beta) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 4)) (pow.f64 (+.f64 2 alpha) 3)))) (-.f64 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (+.f64 2 alpha))))
(+.f64 (/.f64 alpha beta) (+.f64 (-.f64 (fma.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 2) (/.f64 (-.f64 -2 alpha) (/.f64 (.f64 beta beta) (+.f64 1 alpha)))) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 4)) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 beta)))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (neg.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) (+.f64 2 alpha)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 alpha beta) (.f64 (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (+.f64 2 alpha))))
(+.f64 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (+.f64 1 alpha))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 (neg.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) (+.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (-.f64 (/.f64 alpha beta) (.f64 (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (+.f64 2 alpha))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (fma.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 2) (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 (.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (neg.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) (+.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (+.f64 (/.f64 1 beta) (-.f64 (/.f64 alpha beta) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 4)) (pow.f64 (+.f64 2 alpha) 3)))) (-.f64 (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 2)) (.f64 (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (+.f64 2 alpha))))
(+.f64 (/.f64 alpha beta) (+.f64 (-.f64 (fma.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (pow.f64 (+.f64 2 alpha) 2) (/.f64 (-.f64 -2 alpha) (/.f64 (.f64 beta beta) (+.f64 1 alpha)))) (.f64 (/.f64 (+.f64 1 alpha) (pow.f64 beta 4)) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 beta)))

eval683.0ms (5.8%)

Compiler: Compiled 33240 to 24599 computations (26% saved)

prune139.0ms (1.2%)

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	737	18	755
Fresh	13	10	23
Picked	1	0	1
Done	2	3	5
Total	753	31	784

Error

0.0b

Counts

784 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	27.3b	(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))
▶	0.3b	(pow.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))) -1)
✓	61.7b	(/.f64 -1 beta)
▶	3.7b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
▶	62.3b	(/.f64 1 alpha)
	3.7b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 beta 2)) (+.f64 alpha (+.f64 2 beta)))
	20.9b	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 1 (.f64 beta beta))) (-.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	0.9b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))))) 3)
	3.9b	(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta)))
	32.0b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
	62.1b	(/.f64 1/2 (*.f64 alpha alpha))
	33.3b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	41.1b	(/.f64 (/.f64 alpha beta) beta)
	28.4b	(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
	29.9b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
✓	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	27.4b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
	31.9b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
✓	32.0b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	9.7b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)))) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	14.5b	(/.f64 (log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))))) (+.f64 alpha (+.f64 2 beta)))
	45.4b	(/.f64 (.f64 beta alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	62.7b	(/.f64 (/.f64 beta alpha) alpha)
	33.2b	(/.f64 1 (*.f64 beta beta))
	30.6b	(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta)))
▶	28.4b	(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	25.3b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	56.9b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
	15.6b	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha (.f64 -1 (.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	29.3b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta)))
▶	28.6b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))

Compiler

Compiled 1023 to 749 computations (26.8% saved)

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))
✓	0.0b	(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
✓	0.0b	(.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))))
✓	0.3b	(pow.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))) -1)

Compiler

Compiled 119 to 81 computations (31.9% saved)

series39.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	alpha	@	-inf	(.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))))
4.0ms	alpha	@	inf	(pow.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))) -1)
4.0ms	beta	@	0	(pow.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))) -1)
4.0ms	alpha	@	0	(pow.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))) -1)
3.0ms	alpha	@	-inf	(pow.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))) -1)

rewrite128.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

389×	`log1p-udef_binary64`
388×	`expm1-udef_binary64`
226×	`add-sqr-sqrt_binary64`
220×	`pow1_binary64`
219×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	105
1	436	105
2	6915	105

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

Inputs

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

(*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))))

(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))

Outputs

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simplify133.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

572×	`fma-def_binary64`
469×	`distribute-rgt-in_binary64`
459×	`distribute-lft-in_binary64`
346×	`associate-r_binary64`
321×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	555	10039
1	2209	9586

Stop Event

1×	node limit

Counts

199 → 256

Calls

Call 1

Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 1) 2) (.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (+.f64 beta 1))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))) alpha)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 1) 2) (.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (+.f64 beta 1))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))) alpha)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 beta 1) 2) (-.f64 (+.f64 (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (+.f64 (.f64 7 (/.f64 1 (+.f64 beta 1))) (+.f64 (/.f64 beta (+.f64 beta 1)) (.f64 2 (/.f64 beta (+.f64 beta 1)))))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (+.f64 beta 1))))) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (+.f64 beta 1))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))) 2)) (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 6))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
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(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 1))) (+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (+.f64 beta 1)) (.f64 -1 (/.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (+.f64 beta 1)))) alpha)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))) (.f64 -1 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -2 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 beta 1))) (.f64 -1 (+.f64 (/.f64 1 (+.f64 beta 1)) (.f64 -1 (/.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (+.f64 beta 1)))))))) alpha))))) (.f64 -1 (+.f64 (/.f64 1 (+.f64 beta 1)) (.f64 -1 (/.f64 (+.f64 beta (+.f64 (.f64 2 (+.f64 beta 2)) 3)) (+.f64 beta 1))))))
(/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 alpha)) (/.f64 (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 alpha)) (/.f64 (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (.f64 7 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 alpha)) (/.f64 (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 1 alpha))))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha))))
(+.f64 (.f64 beta (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 alpha)) (/.f64 (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))) (+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (.f64 7 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 alpha)) (/.f64 (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 1 alpha))))) (+.f64 (.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 alpha)) (+.f64 (/.f64 1 (+.f64 1 alpha)) (/.f64 (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 1 alpha)))) (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (.f64 7 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha))))))) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha)))))
(/.f64 (pow.f64 beta 2) (+.f64 1 alpha))
(+.f64 (.f64 beta (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (*.f64 6 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha))))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 alpha)) (+.f64 (/.f64 (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 1 alpha)) (+.f64 (.f64 beta (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (.f64 6 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha))))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha))))) (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (*.f64 6 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 alpha)) (+.f64 (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)) (+.f64 (.f64 beta (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (.f64 6 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha))))) (+.f64 (.f64 2 (/.f64 alpha (.f64 beta (+.f64 1 alpha)))) (+.f64 (.f64 6 (/.f64 1 (.f64 (+.f64 1 alpha) beta))) (+.f64 (/.f64 (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))) (+.f64 1 alpha)) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (.f64 beta (+.f64 1 alpha))) (/.f64 alpha (.f64 beta (+.f64 1 alpha)))))))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 beta (+.f64 1 alpha))) (+.f64 (.f64 6 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (/.f64 (.f64 (+.f64 3 alpha) (+.f64 4 (.f64 2 alpha))) (.f64 beta (+.f64 1 alpha))))))))
(/.f64 (pow.f64 beta 2) (+.f64 1 alpha))
(+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (+.f64 1 alpha)) (.f64 -1 (/.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 1 alpha)))))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (+.f64 1 alpha)) (.f64 -1 (/.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 1 alpha)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 alpha))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))) (.f64 -1 (+.f64 (/.f64 1 (+.f64 1 alpha)) (.f64 -1 (/.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 1 alpha))))))
(-.f64 (+.f64 (.f64 -1 (.f64 beta (+.f64 (/.f64 1 (+.f64 1 alpha)) (.f64 -1 (/.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 1 alpha)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 alpha))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 1 alpha))) (.f64 -1 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 alpha))) (.f64 -1 (+.f64 (/.f64 1 (+.f64 1 alpha)) (.f64 -1 (/.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 1 alpha)))))))) beta)) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha))))) (.f64 -1 (+.f64 (/.f64 1 (+.f64 1 alpha)) (.f64 -1 (/.f64 (+.f64 3 (+.f64 (.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 1 alpha))))))
(/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 5 (/.f64 1 (+.f64 beta 1))) (.f64 2 (/.f64 beta (+.f64 beta 1)))) (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1))) alpha) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 5 (/.f64 1 (+.f64 beta 1))) (.f64 2 (/.f64 beta (+.f64 beta 1)))) (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1))) alpha) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1)) (/.f64 1 (+.f64 beta 1))) (+.f64 (.f64 5 (/.f64 1 (+.f64 beta 1))) (.f64 2 (/.f64 beta (+.f64 beta 1))))) (pow.f64 alpha 2)) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 5 (/.f64 1 (+.f64 beta 1))) (.f64 2 (/.f64 beta (+.f64 beta 1)))) (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1))) alpha) (+.f64 (.f64 (-.f64 (+.f64 (.f64 5 (/.f64 1 (+.f64 beta 1))) (.f64 2 (/.f64 beta (+.f64 beta 1)))) (+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1)) (/.f64 1 (+.f64 beta 1)))) (pow.f64 alpha 3)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1)) (/.f64 1 (+.f64 beta 1))) (+.f64 (.f64 5 (/.f64 1 (+.f64 beta 1))) (.f64 2 (/.f64 beta (+.f64 beta 1))))) (pow.f64 alpha 2)) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1)))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (+.f64 (/.f64 alpha (+.f64 beta 1)) (.f64 4 (/.f64 1 (+.f64 beta 1)))))
(-.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 1) alpha)) (.f64 4 (/.f64 1 (+.f64 beta 1)))))) (+.f64 (.f64 2 (/.f64 beta (.f64 (+.f64 beta 1) alpha))) (.f64 4 (/.f64 1 (.f64 (+.f64 beta 1) alpha)))))
(-.f64 (+.f64 (.f64 2 (/.f64 beta (+.f64 beta 1))) (+.f64 (.f64 2 (/.f64 beta (.f64 (+.f64 beta 1) (pow.f64 alpha 2)))) (+.f64 (.f64 4 (/.f64 1 (.f64 (+.f64 beta 1) (pow.f64 alpha 2)))) (+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 1) alpha)) (.f64 4 (/.f64 1 (+.f64 beta 1)))))))) (+.f64 (.f64 4 (/.f64 1 (.f64 (+.f64 beta 1) alpha))) (+.f64 (.f64 2 (/.f64 beta (.f64 (+.f64 beta 1) alpha))) (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 1) (pow.f64 alpha 2))))))
(/.f64 alpha (+.f64 beta 1))
(-.f64 (+.f64 (/.f64 alpha (+.f64 beta 1)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (+.f64 beta 1)))) (/.f64 1 (+.f64 beta 1)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (+.f64 beta 1))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1))) (.f64 -1 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (+.f64 beta 1))) (/.f64 1 (+.f64 beta 1))))) alpha)))) (/.f64 1 (+.f64 beta 1)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 beta 1) (pow.f64 alpha 2)))) (+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (+.f64 beta 1))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta 1))) (.f64 -1 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (.f64 -1 (+.f64 beta 3))) (+.f64 beta 1))) (/.f64 1 (+.f64 beta 1))))) alpha))))) (+.f64 (/.f64 1 (+.f64 beta 1)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (+.f64 beta 1))) (/.f64 1 (+.f64 beta 1))) (pow.f64 alpha 2)))))
(/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))
(+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (.f64 5 (/.f64 1 (+.f64 1 alpha)))) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (+.f64 1 alpha)) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))) (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (.f64 5 (/.f64 1 (+.f64 1 alpha)))))) (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (.f64 5 (/.f64 1 (+.f64 1 alpha)))) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))))
(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (+.f64 1 alpha)) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))) (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (.f64 5 (/.f64 1 (+.f64 1 alpha)))))) (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (.f64 5 (/.f64 1 (+.f64 1 alpha)))) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (.f64 (pow.f64 beta 3) (-.f64 (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 (/.f64 1 (+.f64 1 alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))))))))
(/.f64 beta (+.f64 1 alpha))
(+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (.f64 4 (/.f64 1 (+.f64 1 alpha))) (/.f64 beta (+.f64 1 alpha))))
(-.f64 (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (.f64 4 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 (+.f64 1 alpha) beta)) (/.f64 beta (+.f64 1 alpha))))) (+.f64 (.f64 4 (/.f64 1 (.f64 (+.f64 1 alpha) beta))) (.f64 2 (/.f64 alpha (.f64 beta (+.f64 1 alpha))))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 1 alpha))) (+.f64 (.f64 4 (/.f64 1 (.f64 (+.f64 1 alpha) (pow.f64 beta 2)))) (.f64 2 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 1 alpha))))))))) (+.f64 (.f64 2 (/.f64 alpha (.f64 beta (+.f64 1 alpha)))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (+.f64 1 alpha))) (.f64 4 (/.f64 1 (.f64 (+.f64 1 alpha) beta))))))
(/.f64 beta (+.f64 1 alpha))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 beta (+.f64 1 alpha))) (/.f64 1 (+.f64 1 alpha)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))) (.f64 -1 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 1 (+.f64 1 alpha))))) beta)) (/.f64 beta (+.f64 1 alpha)))) (/.f64 1 (+.f64 1 alpha)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (+.f64 1 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))) (.f64 -1 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 1 (+.f64 1 alpha))))) beta)) (/.f64 beta (+.f64 1 alpha))))) (+.f64 (/.f64 1 (+.f64 1 alpha)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 1 (+.f64 1 alpha))) (pow.f64 beta 2)))))

Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 1) 2) (.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (.f64 (+.f64 beta 3) (+.f64 4 (.f64 2 beta))) (+.f64 beta 1))) (/.f64 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))) alpha)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 -1 (.f64 (/.f64 (pow.f64 (+.f64 beta 1) 2) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (-.f64 (/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 1) (+.f64 4 (.f64 beta 2)))) (/.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))))) alpha) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
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(+.f64 (.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (+.f64 1 alpha)) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))) (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (.f64 5 (/.f64 1 (+.f64 1 alpha)))))) (+.f64 (.f64 beta (-.f64 (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (.f64 5 (/.f64 1 (+.f64 1 alpha)))) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (.f64 (pow.f64 beta 3) (-.f64 (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 (/.f64 1 (+.f64 1 alpha)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))))))))
(fma.f64 (.f64 beta beta) (+.f64 (/.f64 1 (+.f64 1 alpha)) (-.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))))) (+.f64 (fma.f64 beta (-.f64 (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))) (.f64 (pow.f64 beta 3) (-.f64 (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))) (+.f64 (/.f64 1 (+.f64 1 alpha)) (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)))))))
(fma.f64 (.f64 beta beta) (+.f64 (/.f64 1 (+.f64 1 alpha)) (-.f64 (.f64 (/.f64 (+.f64 2 alpha) (+.f64 1 alpha)) (+.f64 3 alpha)) (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))))) (fma.f64 beta (-.f64 (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))) (.f64 (/.f64 (+.f64 2 alpha) (+.f64 1 alpha)) (+.f64 3 alpha))) (fma.f64 (pow.f64 beta 3) (-.f64 (-.f64 (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))) (/.f64 1 (+.f64 1 alpha))) (.f64 (/.f64 (+.f64 2 alpha) (+.f64 1 alpha)) (+.f64 3 alpha))) (*.f64 (/.f64 (+.f64 2 alpha) (+.f64 1 alpha)) (+.f64 3 alpha)))))
(/.f64 beta (+.f64 1 alpha))
(+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (.f64 4 (/.f64 1 (+.f64 1 alpha))) (/.f64 beta (+.f64 1 alpha))))
(fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 beta (+.f64 1 alpha)) (/.f64 4 (+.f64 1 alpha))))
(+.f64 (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 4 (+.f64 1 alpha))) (/.f64 beta (+.f64 1 alpha)))
(-.f64 (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (.f64 4 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 (+.f64 1 alpha) beta)) (/.f64 beta (+.f64 1 alpha))))) (+.f64 (.f64 4 (/.f64 1 (.f64 (+.f64 1 alpha) beta))) (.f64 2 (/.f64 alpha (.f64 beta (+.f64 1 alpha))))))
(-.f64 (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 4 (+.f64 1 alpha)) (+.f64 (/.f64 beta (+.f64 1 alpha)) (.f64 (/.f64 (+.f64 2 alpha) (+.f64 1 alpha)) (/.f64 (+.f64 3 alpha) beta))))) (+.f64 (.f64 2 (/.f64 alpha (.f64 beta (+.f64 1 alpha)))) (/.f64 4 (.f64 beta (+.f64 1 alpha)))))
(-.f64 (+.f64 (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 4 (+.f64 1 alpha))) (fma.f64 (/.f64 (+.f64 2 alpha) (+.f64 1 alpha)) (/.f64 (+.f64 3 alpha) beta) (/.f64 beta (+.f64 1 alpha)))) (fma.f64 2 (/.f64 alpha (+.f64 beta (.f64 alpha beta))) (/.f64 4 (+.f64 beta (.f64 alpha beta)))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 1 alpha))) (+.f64 (.f64 4 (/.f64 1 (.f64 (+.f64 1 alpha) (pow.f64 beta 2)))) (.f64 2 (/.f64 alpha (.f64 (pow.f64 beta 2) (+.f64 1 alpha))))))))) (+.f64 (.f64 2 (/.f64 alpha (.f64 beta (+.f64 1 alpha)))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (+.f64 1 alpha))) (.f64 4 (/.f64 1 (.f64 (+.f64 1 alpha) beta))))))
(-.f64 (+.f64 (/.f64 4 (+.f64 1 alpha)) (+.f64 (/.f64 beta (+.f64 1 alpha)) (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (.f64 (/.f64 (+.f64 2 alpha) (+.f64 1 alpha)) (/.f64 (+.f64 3 alpha) beta)) (+.f64 (/.f64 4 (.f64 (+.f64 1 alpha) (.f64 beta beta))) (.f64 2 (/.f64 alpha (.f64 (+.f64 1 alpha) (.f64 beta beta))))))))) (fma.f64 2 (/.f64 alpha (.f64 beta (+.f64 1 alpha))) (+.f64 (/.f64 4 (.f64 beta (+.f64 1 alpha))) (.f64 (/.f64 (+.f64 2 alpha) (.f64 beta beta)) (/.f64 (+.f64 3 alpha) (+.f64 1 alpha))))))
(-.f64 (+.f64 (+.f64 (/.f64 beta (+.f64 1 alpha)) (/.f64 4 (+.f64 1 alpha))) (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (fma.f64 (/.f64 (+.f64 2 alpha) (+.f64 1 alpha)) (/.f64 (+.f64 3 alpha) beta) (fma.f64 2 (/.f64 alpha (.f64 beta (+.f64 beta (.f64 alpha beta)))) (/.f64 4 (.f64 beta (+.f64 beta (.f64 alpha beta)))))))) (fma.f64 2 (/.f64 alpha (+.f64 beta (.f64 alpha beta))) (fma.f64 (/.f64 (+.f64 2 alpha) (.f64 beta beta)) (/.f64 (+.f64 3 alpha) (+.f64 1 alpha)) (/.f64 4 (+.f64 beta (*.f64 alpha beta))))))
(/.f64 beta (+.f64 1 alpha))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 beta (+.f64 1 alpha))) (/.f64 1 (+.f64 1 alpha)))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))) (/.f64 1 (+.f64 1 alpha)))
(+.f64 (-.f64 (/.f64 beta (+.f64 1 alpha)) (/.f64 (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha)) (+.f64 1 alpha))) (/.f64 -1 (+.f64 1 alpha)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))) (.f64 -1 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 1 (+.f64 1 alpha))))) beta)) (/.f64 beta (+.f64 1 alpha)))) (/.f64 1 (+.f64 1 alpha)))
(-.f64 (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (+.f64 1 alpha)) (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (-.f64 (neg.f64 (/.f64 (.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 1 (+.f64 1 alpha))))) beta) (/.f64 beta (+.f64 1 alpha)))) (/.f64 1 (+.f64 1 alpha)))
(+.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 1 alpha)) (/.f64 (fma.f64 -1 (*.f64 (/.f64 (+.f64 2 alpha) (+.f64 1 alpha)) (+.f64 3 alpha)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha)) (+.f64 1 alpha)) (/.f64 -1 (+.f64 1 alpha)))) beta)) (/.f64 (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha)) (+.f64 1 alpha))) (/.f64 -1 (+.f64 1 alpha)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 (pow.f64 beta 2) (+.f64 1 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))) (.f64 -1 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 1 (+.f64 1 alpha))))) beta)) (/.f64 beta (+.f64 1 alpha))))) (+.f64 (/.f64 1 (+.f64 1 alpha)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 1 (+.f64 1 alpha))) (pow.f64 beta 2)))))
(-.f64 (fma.f64 -1 (.f64 (/.f64 (+.f64 2 alpha) (.f64 beta beta)) (/.f64 (+.f64 3 alpha) (+.f64 1 alpha))) (fma.f64 -1 (/.f64 (.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (+.f64 1 alpha)) (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (-.f64 (neg.f64 (/.f64 (.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 1 (+.f64 1 alpha))))) beta) (/.f64 beta (+.f64 1 alpha))))) (+.f64 (/.f64 1 (+.f64 1 alpha)) (/.f64 (neg.f64 (-.f64 (neg.f64 (/.f64 (.f64 -1 (+.f64 (+.f64 3 alpha) (+.f64 2 alpha))) (+.f64 1 alpha))) (/.f64 1 (+.f64 1 alpha)))) (.f64 beta beta))))
(-.f64 (-.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 1 alpha)) (/.f64 (fma.f64 -1 (.f64 (/.f64 (+.f64 2 alpha) (+.f64 1 alpha)) (+.f64 3 alpha)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha)) (+.f64 1 alpha)) (/.f64 -1 (+.f64 1 alpha)))) beta)) (/.f64 (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha)) (+.f64 1 alpha))) (/.f64 (+.f64 3 alpha) (/.f64 (.f64 beta (+.f64 beta (.f64 alpha beta))) (+.f64 2 alpha)))) (-.f64 (/.f64 1 (+.f64 1 alpha)) (/.f64 (fma.f64 -1 (/.f64 (-.f64 (+.f64 -3 (neg.f64 alpha)) (+.f64 2 alpha)) (+.f64 1 alpha)) (/.f64 -1 (+.f64 1 alpha))) (.f64 beta beta))))

localize7.0ms (0.1%)

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 beta 3) (+.f64 beta 2))
✓	0.2b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))

Compiler

Compiled 28 to 21 computations (25% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	beta	@	inf	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
0.0ms	beta	@	0	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
0.0ms	beta	@	-inf	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
0.0ms	beta	@	inf	(*.f64 (+.f64 beta 3) (+.f64 beta 2))
0.0ms	beta	@	-inf	(*.f64 (+.f64 beta 3) (+.f64 beta 2))

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`unpow-prod-down_binary64`
423×	`log-prod_binary64`
297×	`pow-prod-down_binary64`
281×	`prod-diff_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	207	23
2	2809	23

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (/.f64 1 (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (fma.f64 beta beta -4)) (-.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) -2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (*.f64 (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) -1) (pow.f64 (*.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1) (pow.f64 (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 beta 3) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 beta 3) (sqrt.f64 (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 beta 2) (cbrt.f64 (pow.f64 (+.f64 beta 3) 2))) -1) (pow.f64 (cbrt.f64 (+.f64 beta 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 3))) -1) (pow.f64 (+.f64 beta 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (+.f64 beta 2)) 1) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) 1) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (fma.f64 beta beta -4)) 1) (-.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)) 1/3) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 2) 3) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 beta 3)) (fma.f64 beta 2 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 beta 2 6) (*.f64 beta (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 3 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta (+.f64 beta 3)) 1) (*.f64 (fma.f64 beta 2 6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) beta) (*.f64 (+.f64 beta 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) 3) (*.f64 (+.f64 beta 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (+.f64 beta 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 beta 2)) (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 beta 2)) (+.f64 beta -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 3)) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 3)) (-.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (-.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 9) (*.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (+.f64 beta -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 beta 2 6)) (exp.f64 (*.f64 beta (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 beta (+.f64 beta 3)) (fma.f64 beta 2 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 beta 2 6) (*.f64 beta (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (+.f64 beta 3) (fma.f64 beta 2 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (+.f64 beta 2) (*.f64 3 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (+.f64 beta 2) (*.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta 3) beta (fma.f64 beta 2 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta 3) 2 (*.f64 beta (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (+.f64 beta 3) (*.f64 beta (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta 2) beta (*.f64 (+.f64 beta 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta 2) 3 (*.f64 (+.f64 beta 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) 2)) (*.f64 (cbrt.f64 (+.f64 beta 3)) 2) (*.f64 beta (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) 2)) (*.f64 (cbrt.f64 (+.f64 beta 3)) beta) (fma.f64 beta 2 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (+.f64 beta 3)) (fma.f64 beta 2 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 beta 3)) (*.f64 (sqrt.f64 (+.f64 beta 3)) 2) (*.f64 beta (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 beta 3)) (*.f64 (sqrt.f64 (+.f64 beta 3)) beta) (fma.f64 beta 2 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (+.f64 beta 3)) (fma.f64 beta 2 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 beta (+.f64 beta 3)) 1 (*.f64 (fma.f64 beta 2 6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 2 6)) 2) (cbrt.f64 (fma.f64 beta 2 6)) (*.f64 beta (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 3))) 2) (cbrt.f64 (*.f64 beta (+.f64 beta 3))) (fma.f64 beta 2 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 beta 2 6)) (sqrt.f64 (fma.f64 beta 2 6)) (*.f64 beta (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 3))) (sqrt.f64 (*.f64 beta (+.f64 beta 3))) (fma.f64 beta 2 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 (+.f64 beta 3) 2))) (cbrt.f64 (+.f64 beta 3)) (*.f64 beta (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (*.f64 beta (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 beta (cbrt.f64 (pow.f64 (+.f64 beta 3) 2))) (cbrt.f64 (+.f64 beta 3)) (fma.f64 beta 2 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 beta (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (fma.f64 beta 2 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 beta 3) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta) (fma.f64 beta 2 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 beta 3) (sqrt.f64 beta)) (sqrt.f64 beta) (fma.f64 beta 2 6))))))

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

840×	`fma-def_binary64`
807×	`distribute-neg-frac_binary64`
575×	`times-frac_binary64`
339×	`associate-/l/_binary64`
288×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	303
1	113	291
2	273	277
3	705	271
4	2168	268
5	6842	268

Stop Event

1×	node limit

Counts

158 → 158

Calls

Call 1

Inputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (.f64 19/216 (pow.f64 beta 2))))
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (+.f64 (.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
6
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))

Outputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(fma.f64 -5/36 beta 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (.f64 19/216 (pow.f64 beta 2))))
(+.f64 (fma.f64 -5/36 beta 1/6) (.f64 19/216 (.f64 beta beta)))
(fma.f64 -5/36 beta (fma.f64 19/216 (*.f64 beta beta) 1/6))
(fma.f64 -5/36 beta (fma.f64 beta (*.f64 beta 19/216) 1/6))
(fma.f64 beta (fma.f64 beta 19/216 -5/36) 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (+.f64 (.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 -65/1296 (pow.f64 beta 3) (.f64 19/216 (.f64 beta beta))))
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 19/216 (.f64 beta beta) (.f64 -65/1296 (pow.f64 beta 3))))
(fma.f64 -5/36 beta (fma.f64 beta (*.f64 beta 19/216) (fma.f64 -65/1296 (pow.f64 beta 3) 1/6)))
(fma.f64 beta (*.f64 beta (fma.f64 beta -65/1296 19/216)) (fma.f64 -5/36 beta 1/6))
(fma.f64 beta (fma.f64 beta (fma.f64 beta -65/1296 19/216) -5/36) 1/6)
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 -5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 -5 (pow.f64 beta 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))) (/.f64 19 (pow.f64 beta 4)))
(-.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 19 (pow.f64 beta 4))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 -5 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 19 (pow.f64 beta 4))) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 -5 (pow.f64 beta 3)) (/.f64 -65 (pow.f64 beta 5)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 19 (pow.f64 beta 4)))) (/.f64 -65 (pow.f64 beta 5)))
(-.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (-.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 19 (pow.f64 beta 4))) (/.f64 65 (pow.f64 beta 5))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 -19 (pow.f64 beta 4))) (/.f64 65 (pow.f64 beta 5))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 -5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
(+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 -5 (pow.f64 beta 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3))) (/.f64 19 (pow.f64 beta 4)))
(-.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 19 (pow.f64 beta 4))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 -5 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 19 (pow.f64 beta 4))) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (+.f64 (/.f64 -5 (pow.f64 beta 3)) (/.f64 -65 (pow.f64 beta 5)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 19 (pow.f64 beta 4)))) (/.f64 -65 (pow.f64 beta 5)))
(-.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (-.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 19 (pow.f64 beta 4))) (/.f64 65 (pow.f64 beta 5))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 -19 (pow.f64 beta 4))) (/.f64 65 (pow.f64 beta 5))))
6
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (*.f64 beta 5))
(fma.f64 beta 5 6)
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 5 beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 5 beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(fma.f64 5 beta (*.f64 beta beta))
(*.f64 beta (+.f64 5 beta))
(*.f64 beta (+.f64 beta 5))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 5 beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 5 beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(fma.f64 5 beta (*.f64 beta beta))
(*.f64 beta (+.f64 5 beta))
(*.f64 beta (+.f64 beta 5))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 5 beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(+.f64 6 (*.f64 beta (+.f64 5 beta)))
(fma.f64 beta (+.f64 beta 5) 6)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 51 to 35 computations (31.4% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`prod-diff_binary64`
497×	`fma-def_binary64`
308×	`fma-neg_binary64`
236×	`log1p-udef_binary64`
235×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	269	23
2	4036	23

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))) 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) -1/2) (*.f64 (pow.f64 (+.f64 beta 2) -1/2) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 beta 2)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) 1) (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))) (/.f64 (/.f64 1 (+.f64 beta 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))) (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 1 (+.f64 beta 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1)) (+.f64 (+.f64 beta alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) -2) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 beta 2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) -1/2) (pow.f64 (+.f64 beta 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1) (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 4) (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta 2))) 1))))))

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

856×	`fma-def_binary64`
584×	`distribute-rgt-in_binary64`
578×	`times-frac_binary64`
568×	`distribute-lft-in_binary64`
451×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1382
1	570	1323
2	2250	1190

Stop Event

1×	node limit

Counts

96 → 109

Calls

Call 1

Inputs
(/.f64 1/2 (+.f64 3 alpha))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (.f64 -1/4 (/.f64 (*.f64 beta (+.f64 5 alpha)) (pow.f64 (+.f64 3 alpha) 2))))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (+.f64 (.f64 -1/4 (/.f64 (.f64 beta (+.f64 5 alpha)) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 5 alpha) 2) (pow.f64 (+.f64 3 alpha) 3))))))))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (+.f64 (.f64 -1/4 (/.f64 (.f64 beta (+.f64 5 alpha)) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 5 alpha) 2) (pow.f64 (+.f64 3 alpha) 3)))))) (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1/8 (/.f64 (+.f64 5 alpha) (pow.f64 (+.f64 3 alpha) 3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 5 alpha) 2) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 5 alpha)) (+.f64 3 alpha)))))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 5 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 5 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 5 alpha) 2)) (.f64 2 (+.f64 3 alpha))) (pow.f64 beta 4))) (/.f64 1 (pow.f64 beta 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 5 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 5 alpha) 2)) (.f64 2 (+.f64 3 alpha))) (pow.f64 beta 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 5 alpha) 2)) (.f64 2 (+.f64 3 alpha))) (+.f64 5 alpha))) (.f64 -2 (*.f64 (+.f64 3 alpha) (+.f64 5 alpha)))) (pow.f64 beta 5))) (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (-.f64 2 (.f64 -1 (+.f64 3 alpha))) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 2) (-.f64 2 (.f64 -1 (+.f64 3 alpha))))) (pow.f64 beta 4))) (.f64 -1 (/.f64 (-.f64 2 (*.f64 -1 (+.f64 3 alpha))) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 2 (.f64 -1 (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 2) (-.f64 2 (.f64 -1 (+.f64 3 alpha))))) (pow.f64 beta 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 2) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 2) (-.f64 2 (.f64 -1 (+.f64 3 alpha)))))) (pow.f64 beta 5))) (.f64 -1 (/.f64 (-.f64 2 (*.f64 -1 (+.f64 3 alpha))) (pow.f64 beta 3)))))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (.f64 -1 (/.f64 alpha (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (/.f64 (pow.f64 alpha 2) (.f64 (pow.f64 (+.f64 beta 3) 3) (+.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (.f64 (pow.f64 (+.f64 beta 3) 3) (+.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (.f64 (pow.f64 (+.f64 beta 3) 4) (+.f64 beta 2)))) (+.f64 (.f64 -1 (/.f64 alpha (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 1 (*.f64 (+.f64 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 1 (.f64 (+.f64 beta 2) alpha)))))
(/.f64 1 (*.f64 (+.f64 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 1 (.f64 (+.f64 beta 2) alpha)))))
1/2
(+.f64 (*.f64 -1/4 beta) 1/2)
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (.f64 1/8 (pow.f64 beta 2))))
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))

Outputs
(/.f64 1/2 (+.f64 3 alpha))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (.f64 -1/4 (/.f64 (*.f64 beta (+.f64 5 alpha)) (pow.f64 (+.f64 3 alpha) 2))))
(+.f64 (/.f64 1/2 (+.f64 3 alpha)) (*.f64 -1/4 (/.f64 beta (/.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 alpha 5)))))
(fma.f64 -1/4 (*.f64 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2)) (+.f64 alpha 5)) (/.f64 1/2 (+.f64 3 alpha)))
(fma.f64 -1/4 (*.f64 (/.f64 (+.f64 alpha 5) (pow.f64 (+.f64 3 alpha) 2)) beta) (/.f64 1/2 (+.f64 3 alpha)))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (+.f64 (.f64 -1/4 (/.f64 (.f64 beta (+.f64 5 alpha)) (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 5 alpha) 2) (pow.f64 (+.f64 3 alpha) 3))))))))
(+.f64 (/.f64 1/2 (+.f64 3 alpha)) (fma.f64 -1/4 (/.f64 beta (/.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 alpha 5))) (neg.f64 (.f64 (.f64 beta beta) (+.f64 (/.f64 1/4 (pow.f64 (+.f64 3 alpha) 2)) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3))))))))
(-.f64 (fma.f64 -1/4 (.f64 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2)) (+.f64 alpha 5)) (/.f64 1/2 (+.f64 3 alpha))) (.f64 (*.f64 beta beta) (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1/4 (pow.f64 (+.f64 3 alpha) 2)))))
(fma.f64 (.f64 beta beta) (neg.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1/4 (pow.f64 (+.f64 3 alpha) 2)))) (fma.f64 -1/4 (.f64 (/.f64 (+.f64 alpha 5) (pow.f64 (+.f64 3 alpha) 2)) beta) (/.f64 1/2 (+.f64 3 alpha))))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (+.f64 (.f64 -1/4 (/.f64 (.f64 beta (+.f64 5 alpha)) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 5 alpha) 2) (pow.f64 (+.f64 3 alpha) 3)))))) (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 -1/8 (/.f64 (+.f64 5 alpha) (pow.f64 (+.f64 3 alpha) 3))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 5 alpha) 2) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 5 alpha)) (+.f64 3 alpha)))))))))
(+.f64 (/.f64 1/2 (+.f64 3 alpha)) (fma.f64 -1/4 (/.f64 beta (/.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 alpha 5))) (fma.f64 -1 (.f64 (.f64 beta beta) (+.f64 (/.f64 1/4 (pow.f64 (+.f64 3 alpha) 2)) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3))))) (neg.f64 (.f64 (pow.f64 beta 3) (fma.f64 -1/8 (/.f64 (+.f64 alpha 5) (pow.f64 (+.f64 3 alpha) 3)) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 3 alpha) 2)) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 (+.f64 3 alpha) (+.f64 alpha 5))))))))))
(+.f64 (fma.f64 -1/4 (.f64 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2)) (+.f64 alpha 5)) (/.f64 1/2 (+.f64 3 alpha))) (neg.f64 (fma.f64 (.f64 beta beta) (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1/4 (pow.f64 (+.f64 3 alpha) 2))) (.f64 (pow.f64 beta 3) (fma.f64 -1/2 (/.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1/4 (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (+.f64 3 alpha) (+.f64 alpha 5))) (/.f64 (+.f64 (.f64 alpha -1/8) -5/8) (pow.f64 (+.f64 3 alpha) 3)))))))
(-.f64 (fma.f64 -1/4 (.f64 (/.f64 (+.f64 alpha 5) (pow.f64 (+.f64 3 alpha) 2)) beta) (/.f64 1/2 (+.f64 3 alpha))) (.f64 (.f64 beta beta) (+.f64 (.f64 beta (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 alpha 5) (+.f64 3 alpha)) (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1/4 (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 (fma.f64 alpha -1/8 -5/8) (pow.f64 (+.f64 3 alpha) 3)))) (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1/4 (pow.f64 (+.f64 3 alpha) 2))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (*.f64 -1 (/.f64 (+.f64 5 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(fma.f64 -1 (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)) (/.f64 1 (*.f64 beta beta)))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 -5 alpha) (pow.f64 beta 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 5 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 5 alpha) 2)) (.f64 2 (+.f64 3 alpha))) (pow.f64 beta 4))) (/.f64 1 (pow.f64 beta 2))))
(fma.f64 -1 (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 alpha 5) 2) (+.f64 6 (.f64 alpha 2))) (pow.f64 beta 4)) (/.f64 1 (.f64 beta beta))))
(-.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (-.f64 (+.f64 6 (.f64 alpha 2)) (pow.f64 (+.f64 alpha 5) 2)) (pow.f64 beta 4))) (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 -5 alpha) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 alpha 2 6) (pow.f64 (+.f64 alpha 5) 2)) (pow.f64 beta 4)))
(+.f64 (.f64 -1 (/.f64 (+.f64 5 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 5 alpha) 2)) (.f64 2 (+.f64 3 alpha))) (pow.f64 beta 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 5 alpha) 2)) (.f64 2 (+.f64 3 alpha))) (+.f64 5 alpha))) (.f64 -2 (*.f64 (+.f64 3 alpha) (+.f64 5 alpha)))) (pow.f64 beta 5))) (/.f64 1 (pow.f64 beta 2)))))
(fma.f64 -1 (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 alpha 5) 2) (+.f64 6 (.f64 alpha 2))) (pow.f64 beta 4)) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (+.f64 alpha 5) (fma.f64 -1 (pow.f64 (+.f64 alpha 5) 2) (+.f64 6 (.f64 alpha 2)))) (.f64 (.f64 -2 (+.f64 3 alpha)) (+.f64 alpha 5))) (pow.f64 beta 5)) (/.f64 1 (.f64 beta beta)))))
(-.f64 (-.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (.f64 (+.f64 alpha 5) (+.f64 (+.f64 -6 (.f64 -2 alpha)) (neg.f64 (-.f64 (+.f64 6 (.f64 alpha 2)) (pow.f64 (+.f64 alpha 5) 2))))) (pow.f64 beta 5))) (/.f64 (-.f64 (+.f64 6 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 5) 2)) (pow.f64 beta 4))) (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)))
(+.f64 (-.f64 (+.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (-.f64 -5 alpha) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 alpha 2 6) (pow.f64 (+.f64 alpha 5) 2)) (pow.f64 beta 4))) (/.f64 (.f64 (-.f64 -5 alpha) (-.f64 (fma.f64 alpha -2 -6) (-.f64 (fma.f64 alpha 2 6) (pow.f64 (+.f64 alpha 5) 2)))) (pow.f64 beta 5)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (-.f64 2 (.f64 -1 (+.f64 3 alpha))) (pow.f64 beta 3))))
(fma.f64 -1 (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)) (/.f64 1 (*.f64 beta beta)))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 -5 alpha) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 2) (-.f64 2 (.f64 -1 (+.f64 3 alpha))))) (pow.f64 beta 4))) (.f64 -1 (/.f64 (-.f64 2 (*.f64 -1 (+.f64 3 alpha))) (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 alpha 5) 2) (+.f64 6 (.f64 alpha 2))) (pow.f64 beta 4)) (/.f64 1 (.f64 beta beta))))
(-.f64 (-.f64 (/.f64 1 (.f64 beta beta)) (/.f64 (-.f64 (+.f64 6 (.f64 alpha 2)) (pow.f64 (+.f64 alpha 5) 2)) (pow.f64 beta 4))) (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 -5 alpha) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 alpha 2 6) (pow.f64 (+.f64 alpha 5) 2)) (pow.f64 beta 4)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 2 (/.f64 (.f64 (-.f64 2 (.f64 -1 (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 2) (-.f64 2 (.f64 -1 (+.f64 3 alpha))))) (pow.f64 beta 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 2) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (-.f64 (.f64 -1 (+.f64 3 alpha)) 2) (-.f64 2 (.f64 -1 (+.f64 3 alpha)))))) (pow.f64 beta 5))) (.f64 -1 (/.f64 (-.f64 2 (*.f64 -1 (+.f64 3 alpha))) (pow.f64 beta 3)))))))
(+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 2 (/.f64 (-.f64 2 (neg.f64 (+.f64 3 alpha))) (/.f64 (pow.f64 beta 5) (+.f64 3 alpha))) (fma.f64 -1 (/.f64 (fma.f64 2 (+.f64 3 alpha) (.f64 (-.f64 2 (neg.f64 (+.f64 3 alpha))) (fma.f64 -1 (+.f64 3 alpha) -2))) (pow.f64 beta 4)) (fma.f64 -1 (/.f64 (fma.f64 -1 (+.f64 3 alpha) -2) (/.f64 (pow.f64 beta 5) (fma.f64 2 (+.f64 3 alpha) (*.f64 (-.f64 2 (neg.f64 (+.f64 3 alpha))) (fma.f64 -1 (+.f64 3 alpha) -2))))) (neg.f64 (/.f64 (-.f64 2 (neg.f64 (+.f64 3 alpha))) (pow.f64 beta 3)))))))
(+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 2 (.f64 (/.f64 (-.f64 5 (neg.f64 alpha)) (pow.f64 beta 5)) (+.f64 3 alpha)) (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 5 (neg.f64 alpha))) (pow.f64 beta 3)) (.f64 (/.f64 (neg.f64 (-.f64 5 (neg.f64 alpha))) (pow.f64 beta 5)) (fma.f64 (+.f64 3 alpha) 2 (.f64 (-.f64 5 (neg.f64 alpha)) (neg.f64 (-.f64 5 (neg.f64 alpha))))))) (/.f64 (fma.f64 (+.f64 3 alpha) 2 (*.f64 (-.f64 5 (neg.f64 alpha)) (neg.f64 (-.f64 5 (neg.f64 alpha))))) (pow.f64 beta 4)))))
(-.f64 (-.f64 (fma.f64 2 (/.f64 (+.f64 alpha 5) (/.f64 (pow.f64 beta 5) (+.f64 3 alpha))) (/.f64 1 (*.f64 beta beta))) (fma.f64 (/.f64 (-.f64 -5 alpha) (pow.f64 beta 5)) (-.f64 (fma.f64 alpha 2 6) (pow.f64 (+.f64 alpha 5) 2)) (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)))) (/.f64 (-.f64 (fma.f64 alpha 2 6) (pow.f64 (+.f64 alpha 5) 2)) (pow.f64 beta 4)))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 3 beta))
(+.f64 (.f64 -1 (/.f64 alpha (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(fma.f64 -1 (/.f64 alpha (.f64 (+.f64 beta 2) (pow.f64 (+.f64 3 beta) 2))) (/.f64 1 (.f64 (+.f64 3 beta) (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 3 beta)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 3 beta) 2)) (+.f64 beta 2)))
(-.f64 (/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 beta 2))) (/.f64 (/.f64 alpha (+.f64 beta 2)) (pow.f64 (+.f64 3 beta) 2)))
(+.f64 (/.f64 (pow.f64 alpha 2) (.f64 (pow.f64 (+.f64 beta 3) 3) (+.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 alpha (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (fma.f64 -1 (/.f64 alpha (.f64 (+.f64 beta 2) (pow.f64 (+.f64 3 beta) 2))) (/.f64 1 (.f64 (+.f64 3 beta) (+.f64 beta 2)))) (/.f64 (.f64 alpha alpha) (.f64 (+.f64 beta 2) (pow.f64 (+.f64 3 beta) 3))))
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 3 beta)) (-.f64 (*.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (pow.f64 (+.f64 3 beta) 3))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 3 beta) 2)) (+.f64 beta 2))))
(+.f64 (/.f64 1 (.f64 (+.f64 3 beta) (+.f64 beta 2))) (.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 -1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 alpha (pow.f64 (+.f64 3 beta) 3)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (.f64 (pow.f64 (+.f64 beta 3) 3) (+.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 alpha 3) (.f64 (pow.f64 (+.f64 beta 3) 4) (+.f64 beta 2)))) (+.f64 (.f64 -1 (/.f64 alpha (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(+.f64 (/.f64 (.f64 alpha alpha) (.f64 (+.f64 beta 2) (pow.f64 (+.f64 3 beta) 3))) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (.f64 (+.f64 beta 2) (pow.f64 (+.f64 3 beta) 4))) (fma.f64 -1 (/.f64 alpha (.f64 (+.f64 beta 2) (pow.f64 (+.f64 3 beta) 2))) (/.f64 1 (*.f64 (+.f64 3 beta) (+.f64 beta 2))))))
(+.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 3 beta)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 3 beta) 2)) (+.f64 beta 2))) (-.f64 (.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (pow.f64 (+.f64 3 beta) 3))) (/.f64 (pow.f64 alpha 3) (.f64 (+.f64 beta 2) (pow.f64 (+.f64 3 beta) 4)))))
(+.f64 (-.f64 (/.f64 1 (.f64 (+.f64 3 beta) (+.f64 beta 2))) (/.f64 (/.f64 alpha (+.f64 beta 2)) (pow.f64 (+.f64 3 beta) 2))) (.f64 (/.f64 alpha (+.f64 beta 2)) (-.f64 (/.f64 alpha (pow.f64 (+.f64 3 beta) 3)) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 4)))))
(/.f64 1 (*.f64 (+.f64 beta 2) alpha))
(/.f64 1 (*.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta 2) alpha)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha)) (/.f64 1 (.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) alpha) (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)))
(-.f64 (/.f64 1 (.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha)))
(+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha)) (/.f64 1 (.f64 alpha (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 3 beta) (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)))
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) alpha) (-.f64 (.f64 (/.f64 (+.f64 3 beta) (pow.f64 alpha 3)) (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha))))
(+.f64 (/.f64 1 (.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)) (+.f64 -1 (/.f64 (+.f64 3 beta) alpha))))
(+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 1 (.f64 (+.f64 beta 2) alpha)))))
(+.f64 (/.f64 (.f64 (+.f64 3 beta) (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 3 beta) 2) (/.f64 (pow.f64 alpha 4) (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha)) (/.f64 1 (*.f64 alpha (+.f64 beta 2))))))
(+.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) alpha) (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha))) (-.f64 (.f64 (/.f64 (+.f64 3 beta) (pow.f64 alpha 3)) (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (*.f64 (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 4)) (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))))
(+.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha))) (*.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (+.f64 3 beta) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 4)))))
(/.f64 1 (*.f64 (+.f64 beta 2) alpha))
(/.f64 1 (*.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) alpha)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta 2) alpha)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha)) (/.f64 1 (.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) alpha) (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)))
(-.f64 (/.f64 1 (.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha)))
(+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha)) (/.f64 1 (.f64 alpha (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 3 beta) (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)))
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) alpha) (-.f64 (.f64 (/.f64 (+.f64 3 beta) (pow.f64 alpha 3)) (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha))))
(+.f64 (/.f64 1 (.f64 alpha (+.f64 beta 2))) (.f64 (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha)) (+.f64 -1 (/.f64 (+.f64 3 beta) alpha))))
(+.f64 (/.f64 (.f64 (+.f64 beta 3) (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 beta 2))) (/.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 1 (.f64 (+.f64 beta 2) alpha)))))
(+.f64 (/.f64 (.f64 (+.f64 3 beta) (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 3 beta) 2) (/.f64 (pow.f64 alpha 4) (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha)) (/.f64 1 (*.f64 alpha (+.f64 beta 2))))))
(+.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) alpha) (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha))) (-.f64 (.f64 (/.f64 (+.f64 3 beta) (pow.f64 alpha 3)) (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (*.f64 (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 4)) (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))))))
(+.f64 (-.f64 (/.f64 1 (.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (.f64 alpha alpha))) (*.f64 (+.f64 (/.f64 3 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (-.f64 (/.f64 (+.f64 3 beta) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 4)))))
1/2
(+.f64 (*.f64 -1/4 beta) 1/2)
(fma.f64 -1/4 beta 1/2)
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (.f64 1/8 (pow.f64 beta 2))))
(+.f64 (fma.f64 -1/4 beta 1/2) (.f64 (.f64 beta beta) 1/8))
(fma.f64 -1/4 beta (fma.f64 (*.f64 beta beta) 1/8 1/2))
(fma.f64 -1/4 beta (fma.f64 beta (*.f64 beta 1/8) 1/2))
(+.f64 (.f64 -1/4 beta) (+.f64 1/2 (+.f64 (.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3)))))
(+.f64 (fma.f64 -1/4 beta 1/2) (fma.f64 1/8 (.f64 beta beta) (.f64 (pow.f64 beta 3) -1/16)))
(+.f64 (fma.f64 -1/4 beta 1/2) (fma.f64 (.f64 beta beta) 1/8 (.f64 (pow.f64 beta 3) -1/16)))
(fma.f64 -1/4 beta (fma.f64 beta (*.f64 beta 1/8) (fma.f64 (pow.f64 beta 3) -1/16 1/2)))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 2 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 2 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 -2 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))))
(+.f64 (/.f64 1 beta) (-.f64 (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 -2 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 4))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 -2 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 2 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (.f64 2 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 2 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 -2 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))))
(+.f64 (/.f64 1 beta) (-.f64 (+.f64 (/.f64 4 (pow.f64 beta 3)) (/.f64 -2 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 4))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 -2 (*.f64 beta beta)) (/.f64 -8 (pow.f64 beta 4)))))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 beta 2))
✓	0.0b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	0.0b	(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
✓	0.1b	(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))

Compiler

Compiled 66 to 47 computations (28.8% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	beta	@	inf	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
2.0ms	beta	@	0	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
1.0ms	alpha	@	0	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
1.0ms	beta	@	-inf	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
1.0ms	alpha	@	inf	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))

rewrite82.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`prod-diff_binary64`
311×	`expm1-udef_binary64`
311×	`log1p-udef_binary64`
182×	`add-sqr-sqrt_binary64`
176×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	371	38
2	5654	38

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (/.f64 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) (sqrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) -1/2) (*.f64 (pow.f64 (+.f64 beta 2) -1/2) (/.f64 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 beta 2)) (/.f64 1 (+.f64 (neg.f64 beta) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) 1) (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 (/.f64 1 (+.f64 beta 2)) (cbrt.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (cbrt.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 3))) (/.f64 (/.f64 1 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (sqrt.f64 (+.f64 beta 3))) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 27 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 beta beta -9)) (+.f64 beta -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (neg.f64 beta) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) -2) (pow.f64 (+.f64 beta 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 beta 2)) 3) (pow.f64 (+.f64 beta 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)) (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta 3) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha))) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 beta 3) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 2) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)) (+.f64 (neg.f64 beta) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 beta)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (neg.f64 (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (+.f64 beta (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2))) (neg.f64 (*.f64 (+.f64 beta 3) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (+.f64 (neg.f64 beta) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) (neg.f64 (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 beta)) 1) (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (+.f64 beta 2)) 1) (*.f64 (+.f64 (neg.f64 beta) -3) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (+.f64 beta 2)) (+.f64 1 beta)) (*.f64 (+.f64 (neg.f64 beta) -3) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (+.f64 1 beta))) (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (+.f64 beta 2)) (neg.f64 (+.f64 1 beta))) (*.f64 (+.f64 (neg.f64 beta) -3) (neg.f64 (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 beta 2))) (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 beta) (/.f64 -1 (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (neg.f64 beta) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 beta)) (/.f64 -1 (+.f64 beta 2))) (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 (neg.f64 beta) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) 1) (+.f64 beta 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 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(/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta 3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))) 1))))))

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

613×	`associate-l_binary64`
609×	`associate-r_binary64`
326×	`associate-/r*_binary64`
245×	`associate-*l/_binary64`
245×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	2098
1	671	2048
2	2731	1922

Stop Event

1×	node limit

Counts

125 → 138

Calls

Call 1

Inputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (.f64 19/216 (pow.f64 beta 2))))
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (+.f64 (.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 beta (-.f64 (.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (.f64 1/36 (/.f64 (+.f64 (.f64 3 (+.f64 4 alpha)) (.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 6 (+.f64 2 alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (.f64 3 (+.f64 2 alpha)) (.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (.f64 -1 (-.f64 (.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (.f64 -1 (-.f64 (.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (.f64 -6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 7 alpha))) (-.f64 (.f64 -5 (+.f64 2 alpha)) 6)) (pow.f64 beta 5)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 7 alpha) (+.f64 1 (.f64 -1 (+.f64 7 alpha)))) (.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (+.f64 7 alpha)) (pow.f64 beta 5))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (/.f64 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))

Outputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(fma.f64 -5/36 beta 1/6)
(+.f64 (.f64 -5/36 beta) (+.f64 1/6 (.f64 19/216 (pow.f64 beta 2))))
(+.f64 (fma.f64 -5/36 beta 1/6) (.f64 19/216 (.f64 beta beta)))
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(fma.f64 -1 (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 1 (neg.f64 (+.f64 alpha 7))) (neg.f64 (fma.f64 -5 (+.f64 2 alpha) -6))) (pow.f64 beta 4)) (fma.f64 -6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 5)) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3))) (+.f64 (/.f64 (+.f64 1 (neg.f64 (+.f64 alpha 7))) (/.f64 (pow.f64 beta 5) (fma.f64 -5 (+.f64 2 alpha) -6))) (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 1 (neg.f64 (+.f64 alpha 7))) (neg.f64 (fma.f64 -5 (+.f64 2 alpha) -6))) (/.f64 (pow.f64 beta 5) (+.f64 alpha 7))))))))
(-.f64 (+.f64 (+.f64 (fma.f64 -6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 5)) (/.f64 1 (.f64 beta beta))) (-.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)))) (+.f64 (/.f64 (+.f64 -6 (neg.f64 alpha)) (/.f64 (pow.f64 beta 5) (fma.f64 (+.f64 2 alpha) -5 -6))) (.f64 (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 -6 (neg.f64 alpha)) (neg.f64 (fma.f64 (+.f64 2 alpha) -5 -6))) (pow.f64 beta 5)) (+.f64 alpha 7)))) (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 -6 (neg.f64 alpha)) (neg.f64 (fma.f64 (+.f64 2 alpha) -5 -6))) (pow.f64 beta 4)))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
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(-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (.f64 alpha (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3)))))
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(+.f64 (/.f64 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))))
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(+.f64 (.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 beta 2)) (.f64 alpha alpha)) (+.f64 (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 5))) (pow.f64 alpha 3))) (fma.f64 (neg.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 beta 3)) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 3)))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3)))) (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 beta 3)) (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 beta 2)) (.f64 alpha alpha) (.f64 alpha (+.f64 (neg.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 beta 3))) (/.f64 -1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 beta 2)))) (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2))))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 beta (.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)))
(-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta 2)) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 beta (.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha))) (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 3)) (+.f64 beta 2)))
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta 2)) (+.f64 beta 3))) (.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2)))))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 beta (.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha))) (-.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 3)) (+.f64 beta 2)) (.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta 2)) (+.f64 beta 3)) (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))))) (.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 (+.f64 beta 2) alpha))) (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 beta 2)))) (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2))))))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 beta (.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)))
(-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta 2)) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)))
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(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))))))
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(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (*.f64 alpha (+.f64 beta 2)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2)))))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 beta (.f64 alpha (+.f64 beta 2))) (+.f64 beta 3))) (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha))) (-.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 3)) (+.f64 beta 2)) (.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 (/.f64 (/.f64 beta alpha) (+.f64 beta 2)) (+.f64 beta 3)) (.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))))) (.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 beta 2) alpha) -1)))

eval809.0ms (6.9%)

Compiler: Compiled 33305 to 25329 computations (23.9% saved)

prune139.0ms (1.2%)

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	818	14	832
Fresh	9	14	23
Picked	1	0	1
Done	2	5	7
Total	830	33	863

Error

Counts

863 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	27.3b	(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))
	3.9b	(/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta 3))
✓	61.7b	(/.f64 -1 beta)
	0.3b	(/.f64 (pow.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))) -1/2) (sqrt.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))))))
	0.1b	(/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))) (+.f64 beta (+.f64 alpha 2)))
✓	62.3b	(/.f64 1 alpha)
	57.7b	(+.f64 (*.f64 -5/36 beta) 1/6)
	20.9b	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 1 (.f64 beta beta))) (-.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	0.9b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))))) 3)
	57.0b	1/6
	32.0b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
	34.3b	(.f64 (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
	33.9b	(/.f64 1/6 (+.f64 2 alpha))
	29.3b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta)))
	33.3b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	41.1b	(/.f64 (/.f64 alpha beta) beta)
	28.6b	(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
	28.4b	(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
	3.7b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
✓	28.6b	(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	29.9b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
✓	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	33.0b	(/.f64 (/.f64 1 beta) beta)
	31.9b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
✓	32.0b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	32.6b	(/.f64 1 (*.f64 beta (+.f64 beta 5)))
	0.4b	(pow.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)))))) -1)
	45.4b	(/.f64 (.f64 beta alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	33.2b	(/.f64 1 (*.f64 beta beta))
	30.6b	(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta)))
	15.6b	(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha (.f64 -1 (.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	25.3b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
	4.2b	(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) 3))

Compiler

Compiled 568 to 420 computations (26.1% saved)

regimes246.0ms (2.1%)

Counts

75 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 -1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/2 (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 alpha alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(.f64 (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 alpha (*.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta 3))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 beta 2)) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (.f64 beta alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 2 (+.f64 alpha (.f64 -1 (.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 beta (+.f64 5 (*.f64 2 alpha))))))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 1 (.f64 beta beta))) (-.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (/.f64 (+.f64 2 alpha) (/.f64 beta (-.f64 -1 alpha))))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (pow.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(pow.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))) -1)
(pow.f64 (.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 1 (/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)))))) -1)
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 beta (+.f64 5 (.f64 2 alpha))) (pow.f64 beta 2)))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) 3))
(/.f64 (log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta)))) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 beta 3))))) 3)
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) 3))
(/.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 alpha 1) (+.f64 1 beta))) 2) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))
(/.f64 (pow.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))) -1/2) (sqrt.f64 (.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 3 alpha) beta)))) 3)
(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 3 beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))

Outputs
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))

Calls

4 calls:

75.0ms	alpha
63.0ms	beta
25.0ms	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
17.0ms	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))

Results

Error	Segments	Branch
0.1b	1	`alpha`
0.1b	1	`beta`
0.1b	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))`
0.1b	1	`(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))`

Compiler

Compiled 1424 to 969 computations (32% saved)

regimes280.0ms (2.4%)

Counts

48 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 -1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/2 (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 alpha alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(.f64 (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 alpha (*.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta 3))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 beta 2)) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 alpha (+.f64 2 beta)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) 1)
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(.f64 (/.f64 1 (.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (.f64 beta alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))) (-.f64 1 (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))

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

Calls

2 calls:

143.0ms	beta
68.0ms	alpha

Results

Error	Segments	Branch
0.9b	2	`alpha`
0.6b	2	`beta`

Compiler

Compiled 605 to 402 computations (33.6% saved)

bsearch36.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
35.0ms	846694392862173.3	83280269487432880.0

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes278.0ms (2.4%)

Counts

32 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 -1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/2 (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 alpha alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(.f64 (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 alpha (*.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

Outputs
(.f64 (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))

Calls

2 calls:

213.0ms	alpha
50.0ms	beta

Results

Error	Segments	Branch
17.2b	9	`alpha`
1.8b	2	`beta`

Compiler

Compiled 299 to 197 computations (34.1% saved)

bsearch50.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
49.0ms	0.6103807116972387	6.506729430153103

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes217.0ms (1.8%)

Counts

27 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 -1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/2 (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 alpha alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(.f64 (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

Outputs
(.f64 (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta)))

Calls

2 calls:

181.0ms	alpha
28.0ms	beta

Results

Error	Segments	Branch
17.2b	10	`alpha`
1.9b	2	`beta`

Compiler

Compiled 224 to 150 computations (33% saved)

bsearch31.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	0.6103807116972387	6.506729430153103

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes164.0ms (1.4%)

Counts

25 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 -1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/2 (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (+.f64 alpha 1) (.f64 (+.f64 2 alpha) (.f64 alpha alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta)))

Calls

2 calls:

131.0ms	alpha
27.0ms	beta

Results

Error	Segments	Branch
17.4b	10	`alpha`
2.4b	2	`beta`

Compiler

Compiled 194 to 128 computations (34% saved)

bsearch34.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	0.6103807116972387	6.506729430153103

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes122.0ms (1%)

Counts

20 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 -1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/2 (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))

Calls

2 calls:

96.0ms	alpha
21.0ms	beta

Results

Error	Segments	Branch
18.5b	9	`alpha`
2.4b	2	`beta`

Compiler

Compiled 132 to 85 computations (35.6% saved)

bsearch32.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	0.6103807116972387	6.506729430153103

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes113.0ms (1%)

Counts

17 → 3

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 -1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/2 (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)

Calls

2 calls:

81.0ms	alpha
28.0ms	beta

Results

Error	Segments	Branch
18.6b	9	`alpha`
2.5b	3	`beta`

Compiler

Compiled 101 to 62 computations (38.6% saved)

bsearch81.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	8.088434455469893e+151	3.362513759510108e+156
33.0ms	0.6103807116972387	6.506729430153103

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes170.0ms (1.4%)

Counts

14 → 3

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 -1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/2 (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (/.f64 beta alpha) alpha)
(/.f64 1 (*.f64 beta beta))
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 (+.f64 alpha 1) (*.f64 alpha alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)

Calls

2 calls:

116.0ms	alpha
48.0ms	beta

Results

Error	Segments	Branch
17.3b	13	`alpha`
3.5b	3	`beta`

Compiler

Compiled 76 to 45 computations (40.8% saved)

bsearch69.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	1.0106569409180957e+161	5.690838134018501e+163
36.0ms	0.6103807116972387	6.506729430153103

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes86.0ms (0.7%)

Counts

8 → 2

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 -1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 1/2 (*.f64 alpha alpha))

Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)

Calls

2 calls:

73.0ms	alpha
10.0ms	beta

Results

Error	Segments	Branch
20.1b	12	`alpha`
5.5b	2	`beta`

Compiler

Compiled 40 to 28 computations (30% saved)

bsearch50.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
50.0ms	0.6103807116972387	6.506729430153103

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes25.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 -1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))

Outputs
(/.f64 1/6 (+.f64 2 alpha))

Calls

2 calls:

12.0ms	beta
10.0ms	alpha

Results

Error	Segments	Branch
33.9b	1	`alpha`
33.9b	1	`beta`

Compiler

Compiled 25 to 19 computations (24% saved)

regimes23.0ms (0.2%)

Accuracy

Total -6.1b remaining (-10.7%)

Threshold costs -6.1b (-10.7%)

Counts

4 → 1

Calls

Call 1

Inputs
1/6
(/.f64 1 alpha)
(/.f64 -1 beta)
(+.f64 (*.f64 -5/36 beta) 1/6)

Outputs
1/6

Calls

2 calls:

12.0ms	beta
8.0ms	alpha

Results

Error	Segments	Branch
57.0b	1	`alpha`
57.0b	1	`beta`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
4×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	336
1	77	336

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(if (<=.f64 beta 3386777571448693/4) (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 5497820691507645/9007199254740992) (.f64 (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 5497820691507645/9007199254740992) (.f64 (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 2 alpha)) (if (<=.f64 beta 80884344554698929305074991578999536576296373503085669234107475914477830344429618500766887591364437485972414950301121556193545077585464332502973296934912) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 2 alpha)) (if (<=.f64 beta 101065694091809574958561846332203672325209964107094943284207834967000819328816431288792870514754198890258822513646129602444191701991222153363726922398972424224768) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 1 beta) beta))
(/.f64 1/6 (+.f64 2 alpha))
1/6

Outputs
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 2 beta)))
(if (<=.f64 beta 3386777571448693/4) (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 3386777571448693/4) (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 2 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 5497820691507645/9007199254740992) (.f64 (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 5497820691507645/9007199254740992) (.f64 (+.f64 (.f64 beta -5/36) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 5497820691507645/9007199254740992) (.f64 (+.f64 (.f64 -5/36 beta) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 5497820691507645/9007199254740992) (.f64 (+.f64 (.f64 beta -5/36) 1/6) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 2 beta))))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 alpha 2)) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta)))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 2 alpha)) (if (<=.f64 beta 80884344554698929305074991578999536576296373503085669234107475914477830344429618500766887591364437485972414950301121556193545077585464332502973296934912) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 alpha 2)) (if (<=.f64 beta 80884344554698929305074991578999536576296373503085669234107475914477830344429618500766887591364437485972414950301121556193545077585464332502973296934912) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 2 alpha)) (if (<=.f64 beta 101065694091809574958561846332203672325209964107094943284207834967000819328816431288792870514754198890258822513646129602444191701991222153363726922398972424224768) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 alpha 2)) (if (<=.f64 beta 101065694091809574958561846332203672325209964107094943284207834967000819328816431288792870514754198890258822513646129602444191701991222153363726922398972424224768) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 5497820691507645/9007199254740992) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 (/.f64 1 beta) beta))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 alpha 2))
1/6

Compiler

Compiled 253 to 182 computations (28.1% saved)

soundness232.0ms (2%)

Algorithm

1×	egg-herbie

Rules

681×	`distribute-rgt-in_binary64`
661×	`distribute-lft-in_binary64`
485×	`associate-l_binary64`
473×	`associate-/l/_binary64`
389×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	36	38
2	117	38
3	624	37
4	4304	37
5	4993	37
6	5254	37
7	5793	37
8	6311	37
9	6324	37
10	6554	37
11	6681	37
12	6824	37
13	7124	37
14	7928	37

Stop Event

1×	node limit

Compiler

Compiled 798 to 552 computations (30.8% saved)

end130.0ms (1.1%)

Remove: (sort alpha beta)
Compiler: Compiled 287 to 198 computations (31% saved)