Details

analyze63.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.9s (13.3%)

Results

1.8s

8256×

body

256

valid

Bogosity

preprocess94.0ms (0.7%)

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)

simplify130.0ms (0.9%)

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

3.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.6b	(/.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))
▶	10.4b	(/.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

▶

3.6b

(/.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))

▶

10.4b

(/.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 (0.2%)

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))
✓	0.0b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3)))
✓	10.4b	(/.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)

series25.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	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))))
3.0ms	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))))

rewrite155.0ms (1.1%)

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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(+.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))))))

simplify124.0ms (0.9%)

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))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
✓	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))
✓	3.4b	(/.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)

series35.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
11.0ms	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)))
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	alpha	@	0	(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 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))
2.0ms	alpha	@	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)))

rewrite116.0ms (0.8%)

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	103
1	349	83
2	5771	83

Stop Event

1×	node limit

Counts

4 → 186

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 alpha beta) (*.f64 beta alpha))

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

simplify135.0ms (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	577	8253
1	2231	7767

Stop Event

1×	node limit

Counts

282 → 335

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

eval1.3s (9.5%)

Compiler: Compiled 33272 to 23659 computations (28.9% saved)

prune141.0ms (1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	612	22	634
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	614	22	636

Error

0.2b

Counts

636 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	32.2b	(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	5.0b	(.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))))
	3.6b	(/.f64 (/.f64 (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	4.9b	(.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))))
▶	37.4b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
	27.8b	(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (.f64 beta beta))) (+.f64 (/.f64 alpha beta) (/.f64 alpha (.f64 beta beta)))) (.f64 (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (fma.f64 2 alpha 4))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	17.5b	(/.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 beta 1) 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))
	27.1b	(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	36.6b	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	61.7b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
	28.6b	(/.f64 (/.f64 (-.f64 (neg.f64 (-.f64 -1 alpha)) (/.f64 (-.f64 (-.f64 -1 alpha) (.f64 (+.f64 2 alpha) (-.f64 -1 alpha))) beta)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	61.6b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	20.2b	(/.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))))))
▶	4.6b	(/.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))
▶	27.3b	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	9.3b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	23.2b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
	37.7b	(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (pow.f64 beta 3))
▶	2.2b	(.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))))
▶	29.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	17.5b	(/.f64 (+.f64 1 alpha) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	62.6b	(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

Compiler

Compiled 1126 to 802 computations (28.8% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta)))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))
✓	0.1b	(.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))))
✓	19.3b	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))

Compiler

Compiled 89 to 59 computations (33.7% saved)

series106.0ms (0.8%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
45.0ms	alpha	@	inf	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
43.0ms	beta	@	inf	(/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta)))
2.0ms	beta	@	0	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
2.0ms	alpha	@	0	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))
1.0ms	alpha	@	-inf	(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta)))

rewrite139.0ms (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	6728	82

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

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

simplify168.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

757×	`distribute-rgt-in_binary64`
741×	`distribute-lft-in_binary64`
559×	`fma-def_binary64`
331×	`associate-/r*_binary64`
330×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	535	7843
1	2161	7311

Stop Event

1×	node limit

Counts

283 → 335

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.2b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

Compiler

Compiled 18 to 9 computations (50% saved)

series4.0ms (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))
1.0ms	alpha	@	-inf	(/.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))

rewrite58.0ms (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))))))))

simplify167.0ms (1.2%)

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))

localize23.0ms (0.2%)

Local error

Found 3 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 beta beta))
✓	10.4b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))

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

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`fma-def_binary64`
412×	`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	5060	38

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 beta 3) (*.f64 (+.f64 alpha 2) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 beta 3) (*.f64 (*.f64 beta beta) (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 2) (*.f64 beta beta)) (pow.f64 beta 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha beta) (*.f64 beta beta)) (*.f64 2 (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) (+.f64 alpha 2)) (pow.f64 beta 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) (+.f64 alpha beta)) (*.f64 (*.f64 beta beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 beta beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta beta)) (fma.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta) (*.f64 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simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

661×	`distribute-rgt-in_binary64`
649×	`fma-def_binary64`
637×	`distribute-lft-in_binary64`
620×	`times-frac_binary64`
447×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2308
1	634	2249
2	2522	2087

Stop Event

1×	node limit

Counts

156 → 163

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 81 to 54 computations (33.3% saved)

series68.0ms (0.5%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
49.0ms	beta	@	-inf	(/.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))
5.0ms	beta	@	0	(/.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))
2.0ms	alpha	@	0	(/.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))
2.0ms	alpha	@	-inf	(/.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))
2.0ms	alpha	@	inf	(/.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))

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`prod-diff_binary64`
296×	`log1p-udef_binary64`
294×	`expm1-udef_binary64`
172×	`add-sqr-sqrt_binary64`
168×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	325	64
2	5334	64

Stop Event

1×	node limit

Counts

4 → 157

Calls

Call 1

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

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

simplify141.0ms (1%)

Algorithm

1×	egg-herbie

Rules

453×	`distribute-rgt-in_binary64`
445×	`distribute-lft-in_binary64`
373×	`fma-def_binary64`
354×	`cancel-sign-sub-inv_binary64`
287×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	4665
1	1429	4429
2	6820	4342

Stop Event

1×	node limit

Counts

241 → 257

Calls

Call 1

Inputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 7 (.f64 2 alpha)) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 6 (.f64 2 alpha)) (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 6 (.f64 2 alpha)))) (.f64 2 (+.f64 5 (.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (.f64 -1 (/.f64 (+.f64 6 (.f64 2 alpha)) (pow.f64 beta 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 6 (.f64 2 alpha)))) (.f64 2 (+.f64 5 (.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 6 (.f64 2 alpha)) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (.f64 -1 (.f64 (+.f64 7 (.f64 2 alpha)) (+.f64 6 (.f64 2 alpha)))) (.f64 2 (+.f64 5 (.f64 2 alpha))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (.f64 2 (+.f64 5 (.f64 2 alpha)))) (+.f64 6 (.f64 2 alpha)))) (.f64 2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) (pow.f64 beta 5))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (.f64 -1 (/.f64 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 (.f64 -1 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2))))) 1)) (.f64 -1 (+.f64 (.f64 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (.f64 -2 (+.f64 2 alpha))))) (pow.f64 beta 4))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 (.f64 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 (.f64 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 (.f64 -1 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2))))) 1)) (.f64 -1 (+.f64 (.f64 -2 (+.f64 2 alpha)) (.f64 (+.f64 3 alpha) (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)))))) (pow.f64 beta 5)) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 beta 5))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (.f64 -2 (+.f64 2 alpha))) (+.f64 (.f64 -1 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2))))) 1)) (pow.f64 beta 5)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (.f64 -1 (/.f64 (+.f64 (.f64 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 (.f64 -1 (+.f64 3 (+.f64 alpha (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2))))) 1)) (.f64 -1 (+.f64 (.f64 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (.f64 -2 (+.f64 2 alpha))))) (pow.f64 beta 4)))))))))
(/.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 -1 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 beta (*.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 -1 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 6)))) (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 5))))))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha)) (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (.f64 -1 (.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) (/.f64 1 (.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (/.f64 beta (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta 1) (+.f64 beta 3))) (pow.f64 alpha 4))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 beta 1) (+.f64 beta 3)))) (+.f64 beta 2))) (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 beta 3) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)))) (pow.f64 alpha 5))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta 1) (+.f64 beta 3))) (pow.f64 alpha 4)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2)) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 beta 1) (+.f64 beta 3))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2))))) (.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2)) (pow.f64 (+.f64 beta 2) 3))) (.f64 (+.f64 beta 1) (+.f64 beta 3)))) (.f64 (+.f64 beta 2) (pow.f64 alpha 5)))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 beta 3))) (.f64 (+.f64 beta 2) (pow.f64 alpha 5)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (.f64 -1 (.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta 1) (+.f64 beta 3))) (pow.f64 alpha 4))))))))
(/.f64 1/2 (+.f64 2 alpha))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) beta) (.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 4 alpha)) (+.f64 2 alpha))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 4 alpha)) (+.f64 2 alpha))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 3) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))) (.f64 -1/2 (/.f64 (.f64 (+.f64 4 alpha) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 4 alpha) (-.f64 (.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha)))))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 alpha) (+.f64 3 alpha))) (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 beta) (+.f64 (.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 alpha) (+.f64 3 alpha))) (.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 alpha) (+.f64 (.f64 -1 (.f64 (+.f64 4 alpha) (+.f64 3 alpha))) (.f64 2 (+.f64 2 alpha))))) (.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (pow.f64 beta 4))))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (/.f64 (.f64 (-.f64 1 (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2))) (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 3))))) (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 2 alpha) (-.f64 1 (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2))))) (.f64 -1 (.f64 (+.f64 (.f64 (-.f64 1 (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2))) (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)) (.f64 -2 (+.f64 2 alpha))) (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (.f64 -2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (/.f64 (.f64 (-.f64 1 (.f64 -1 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2))) (-.f64 (.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 3)))))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (+.f64 2 alpha)) 2) (pow.f64 beta 2))))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) alpha)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)) (/.f64 1 (pow.f64 (+.f64 beta 2) 5))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha))))))
1/2
(+.f64 1/2 (*.f64 1/4 beta))
(+.f64 (.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (.f64 1/4 beta)))
(+.f64 (.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (.f64 1/4 beta) (*.f64 1/16 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 beta 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 3 alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))

Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))
(fma.f64 beta (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 5) (fma.f64 2 alpha 6)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))))
(+.f64 (.f64 beta (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 beta 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (.f64 2 (+.f64 3 alpha)) (.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(fma.f64 beta (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (.f64 (.f64 beta beta) (fma.f64 1/2 (.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (.f64 1/4 (/.f64 (+.f64 7 (.f64 2 alpha)) (.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (/.f64 1/2 (.f64 (+.f64 2 alpha) (+.f64 alpha 3)))))
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(/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 2 beta))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))
(fma.f64 -1 (/.f64 (+.f64 beta 1) (.f64 alpha alpha)) (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) alpha) (/.f64 beta (.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 beta 1) (.f64 alpha alpha)))
(+.f64 (/.f64 beta (.f64 alpha (+.f64 2 beta))) (-.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) alpha) (/.f64 (+.f64 beta 1) (.f64 alpha alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha)))))
(fma.f64 -1 (/.f64 (+.f64 beta 1) (.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta)))))
(-.f64 (+.f64 (/.f64 beta (.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 3)) (+.f64 2 beta)))) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha)))
(+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) alpha) (/.f64 beta (.f64 alpha (+.f64 2 beta)))) (-.f64 (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 3)) (+.f64 2 beta)) (/.f64 (+.f64 beta 1) (*.f64 alpha alpha))))
(+.f64 (.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (.f64 (+.f64 beta 2) alpha)) (/.f64 beta (.f64 (+.f64 beta 2) alpha))))))
(fma.f64 -1 (/.f64 (+.f64 beta 1) (.f64 alpha alpha)) (fma.f64 -1 (/.f64 (.f64 (+.f64 beta 1) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 4)) (+.f64 (+.f64 (/.f64 1 (.f64 alpha (+.f64 2 beta))) (/.f64 beta (.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))))))
(-.f64 (-.f64 (+.f64 (/.f64 beta (.f64 alpha (+.f64 2 beta))) (+.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) alpha) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 3)) (+.f64 2 beta)))) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (+.f64 beta 1) (.f64 alpha alpha)))
(+.f64 (-.f64 (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 3)) (+.f64 2 beta)) (.f64 (/.f64 (+.f64 beta 1) (pow.f64 alpha 4)) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (.f64 alpha (+.f64 2 beta))) (-.f64 (/.f64 (/.f64 1 (+.f64 2 beta)) alpha) (/.f64 (+.f64 beta 1) (.f64 alpha alpha)))))
1/2
(+.f64 1/2 (*.f64 1/4 beta))
(+.f64 1/2 (*.f64 beta 1/4))
(fma.f64 beta 1/4 1/2)
(+.f64 (.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (.f64 1/4 beta)))
(fma.f64 -1/8 (.f64 beta beta) (+.f64 1/2 (.f64 beta 1/4)))
(fma.f64 (*.f64 beta beta) -1/8 (fma.f64 beta 1/4 1/2))
(+.f64 (.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (.f64 1/4 beta) (*.f64 1/16 (pow.f64 beta 3)))))
(fma.f64 -1/8 (.f64 beta beta) (+.f64 1/2 (fma.f64 1/4 beta (.f64 (pow.f64 beta 3) 1/16))))
(+.f64 (fma.f64 (.f64 beta beta) -1/8 (fma.f64 beta 1/4 1/2)) (.f64 (pow.f64 beta 3) 1/16))
1
(-.f64 1 (/.f64 1 beta))
(+.f64 1 (/.f64 -1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 1 beta)))
(+.f64 (/.f64 2 (*.f64 beta beta)) (+.f64 1 (/.f64 -1 beta)))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))))
(+.f64 1 (-.f64 (-.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 4 (pow.f64 beta 3))) (/.f64 1 beta)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 beta beta)) (-.f64 (/.f64 -1 beta) (/.f64 4 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(+.f64 1 (/.f64 -1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 1 beta)))
(+.f64 (/.f64 2 (*.f64 beta beta)) (+.f64 1 (/.f64 -1 beta)))
(-.f64 (+.f64 1 (.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (.f64 4 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))))
(+.f64 1 (-.f64 (-.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 4 (pow.f64 beta 3))) (/.f64 1 beta)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 beta beta)) (-.f64 (/.f64 -1 beta) (/.f64 4 (pow.f64 beta 3)))))
(+.f64 beta 3)
(+.f64 3 beta)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
(+.f64 3 alpha)
(+.f64 alpha 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))
(+.f64 beta (+.f64 3 alpha))
(+.f64 (+.f64 alpha 3) beta)
(+.f64 alpha (+.f64 3 beta))

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 167 to 103 computations (38.3% saved)

series36.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	beta	@	-inf	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
6.0ms	alpha	@	-inf	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 2 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 (+.f64 1 alpha) beta) (+.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
2.0ms	alpha	@	0	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.0ms	beta	@	inf	(/.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 1 alpha) (/.f64 alpha beta)) (.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

269×	`add-sqr-sqrt_binary64`
264×	`*-un-lft-identity_binary64`
264×	`pow1_binary64`
252×	`add-cbrt-cube_binary64`
252×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	133
1	499	124

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

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

simplify230.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

437×	`+-commutative_binary64`
362×	`fma-def_binary64`
361×	`associate-+r+_binary64`
348×	`div-sub_binary64`
317×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	478	6455
1	1762	6049
2	7396	5995

Stop Event

1×	node limit

Counts

255 → 276

Calls

Call 1

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

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

eval1.5s (10.5%)

Compiler: Compiled 52302 to 37778 computations (27.8% saved)

prune267.0ms (1.9%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	1104	22	1126
Fresh	13	4	17
Picked	1	0	1
Done	3	1	4
Total	1121	27	1148

Error

Counts

1148 → 27

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.2b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	37.2b	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
▶	61.6b	(/.f64 -1 beta)
	36.1b	(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
	34.6b	(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
	40.9b	(/.f64 (/.f64 alpha beta) beta)
	30.8b	(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	27.7b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
▶	0.1b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
	34.5b	(/.f64 (/.f64 (+.f64 1/2 (.f64 1/4 beta)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
▶	29.3b	(.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (.f64 beta (neg.f64 beta))))
	31.7b	(/.f64 1 (*.f64 beta beta))
	36.6b	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	31.6b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	61.6b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	32.4b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
	41.8b	(/.f64 (+.f64 1 alpha) (.f64 beta (.f64 beta (+.f64 2 alpha))))
✓	29.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	32.3b	(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))
	28.7b	(.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
	9.3b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	27.2b	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 beta))
	2.6b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha))))
	4.9b	(.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))))
	28.6b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
	4.6b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))

Compiler

Compiled 913 to 664 computations (27.3% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 87 to 58 computations (33.3% saved)

series16.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite159.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

418×	`fma-neg_binary64`
364×	`expm1-udef_binary64`
364×	`log1p-udef_binary64`
209×	`add-sqr-sqrt_binary64`
204×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	398	79
2	6667	79

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

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

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

simplify150.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

562×	`distribute-rgt-in_binary64`
548×	`distribute-lft-in_binary64`
473×	`fma-def_binary64`
458×	`associate-+r+_binary64`
366×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	507	6910
1	1922	6424

Stop Event

1×	node limit

Counts

270 → 318

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

localize3.0ms (0%)

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 1 (*.f64 beta (neg.f64 beta)))
✓	1.3b	(.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (.f64 beta (neg.f64 beta))))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

899×	`pow1_binary64`
836×	`add-log-exp_binary64`
834×	`log1p-expm1-u_binary64`
834×	`expm1-log1p-u_binary64`
112×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	230	17
2	3205	17

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify176.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
555×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
456×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	369
1	21	369
2	34	369
3	61	369
4	143	369
5	445	369
6	1634	369
7	2481	369
8	2645	369
9	2829	369
10	3037	369
11	3336	369
12	3727	369
13	4208	369
14	4776	369
15	5464	369
16	6299	369
17	6693	369
18	6981	369
19	7259	369
20	7331	369
21	7367	369

Stop Event

1×	node limit

Counts

103 → 77

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

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 alpha) beta)
	0.0b	(.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 beta beta))
✓	22.8b	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))

Compiler

Compiled 49 to 27 computations (44.9% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`prod-diff_binary64`
509×	`fma-def_binary64`
273×	`fma-neg_binary64`
246×	`expm1-udef_binary64`
246×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	277	26
2	4361	24

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

454×	`fma-def_binary64`
349×	`distribute-rgt-in_binary64`
344×	`sub-neg_binary64`
333×	`distribute-lft-in_binary64`
331×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1242
1	387	1194
2	1362	1102
3	6871	1096

Stop Event

1×	node limit

Counts

132 → 135

Calls

Call 1

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

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

localize52.0ms (0.4%)

Local error

Found 3 expressions with local error:

New

Error

Program

0.0b

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

✓

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)

series18.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite108.0ms (0.8%)

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 (+.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 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))) (/.f64 (sqrt.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 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.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 1 alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (sqrt.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) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.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))))))

simplify88.0ms (0.6%)

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

eval987.0ms (7.1%)

Compiler: Compiled 27978 to 19883 computations (28.9% saved)

prune177.0ms (1.3%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	774	12	786
Fresh	8	13	21
Picked	1	0	1
Done	1	4	5
Total	784	29	813

Error

Counts

813 → 29

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
✓	37.2b	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
▶	60.1b	(/.f64 1 beta)
	22.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
	26.9b	(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
	42.3b	(/.f64 alpha (*.f64 beta beta))
▶	27.1b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) beta)
✓	61.6b	(/.f64 -1 beta)
	36.1b	(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
	34.6b	(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
	40.9b	(/.f64 (/.f64 alpha beta) beta)
	27.7b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
▶	30.8b	(/.f64 (/.f64 1 beta) (+.f64 beta 2))
✓	0.1b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
	28.6b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
	31.2b	(/.f64 1 (*.f64 beta (+.f64 beta 2)))
	32.4b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
	31.7b	(/.f64 1 (*.f64 beta beta))
	36.6b	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	37.3b	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 beta (*.f64 beta (+.f64 beta 2))))
	31.6b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓	29.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	28.7b	(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
	32.3b	(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))
	61.6b	(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
	9.3b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	4.6b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
▶	32.4b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))

Compiler

Compiled 786 to 570 computations (27.5% saved)

localize82.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 106 to 72 computations (32.1% saved)

series17.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	beta	@	inf	(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
2.0ms	alpha	@	-inf	(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
1.0ms	alpha	@	0	(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
1.0ms	beta	@	0	(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
1.0ms	alpha	@	inf	(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))

rewrite115.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

421×	`log1p-udef_binary64`
245×	`add-sqr-sqrt_binary64`
239×	`*-un-lft-identity_binary64`
239×	`pow1_binary64`
230×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	60
1	489	54
2	7989	54

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify143.0ms (1%)

Algorithm

1×	egg-herbie

Rules

494×	`distribute-rgt-in_binary64`
482×	`distribute-lft-in_binary64`
370×	`fma-def_binary64`
340×	`associate-+r+_binary64`
317×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	5632
1	1504	5216
2	7505	5214

Stop Event

1×	node limit

Counts

208 → 240

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

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

localize6.0ms (0%)

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`pow1_binary64`
768×	`add-log-exp_binary64`
767×	`log1p-expm1-u_binary64`
767×	`expm1-log1p-u_binary64`
753×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	158	10
2	2121	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

577×	`times-frac_binary64`
504×	`associate-l_binary64`
504×	`fma-def_binary64`
382×	`associate-r_binary64`
342×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	206
1	105	204
2	238	204
3	595	201
4	1818	201
5	7380	201

Stop Event

1×	node limit

Counts

45 → 48

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`prod-diff_binary64`
584×	`log-prod_binary64`
435×	`fma-def_binary64`
245×	`log-div_binary64`
223×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	237	16
2	3672	16

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

451×	`fma-def_binary64`
348×	`distribute-rgt-in_binary64`
345×	`sub-neg_binary64`
333×	`distribute-lft-in_binary64`
332×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1171
1	385	1143
2	1359	1054
3	6858	1039

Stop Event

1×	node limit

Counts

67 → 79

Calls

Call 1

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

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 68 to 48 computations (29.4% saved)

series12.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`fma-def_binary64`
324×	`log1p-udef_binary64`
323×	`expm1-udef_binary64`
304×	`fma-neg_binary64`
191×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	369	48
2	5807	48

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

Outputs

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

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

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

simplify123.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

700×	`associate-l_binary64`
667×	`associate-r_binary64`
380×	`associate-/r*_binary64`
324×	`times-frac_binary64`
281×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2325
1	755	2178
2	3025	2011

Stop Event

1×	node limit

Counts

213 → 223

Calls

Call 1

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

Outputs
(/.f64 1/6 (+.f64 beta 2))
(+.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(+.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 -1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6)) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(fma.f64 (-.f64 (/.f64 1/6 (+.f64 beta 2)) (*.f64 1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 1/6 (+.f64 beta 2)))
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (*.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) -1/36) (pow.f64 (+.f64 beta 2) 2))) alpha (/.f64 1/6 (+.f64 beta 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))))) (+.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(fma.f64 -1 (.f64 (.f64 alpha alpha) (fma.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2)) (.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 -1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (.f64 beta 3) 6)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (+.f64 beta 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (.f64 beta 3) 6))))))) (+.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 -1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6)) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(-.f64 (fma.f64 (-.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 1/6 (+.f64 beta 2))) (.f64 (.f64 alpha alpha) (fma.f64 1/6 (.f64 (/.f64 (-.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6))) (.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2))))))
(-.f64 (fma.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) -1/36) (pow.f64 (+.f64 beta 2) 2))) alpha (/.f64 1/6 (+.f64 beta 2))) (.f64 alpha (.f64 alpha (fma.f64 1/6 (.f64 (/.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) (+.f64 beta 2)) (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) -1/36) (pow.f64 (+.f64 beta 2) 2)))) (.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2)))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 alpha 2) (+.f64 (.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))))) (+.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) alpha) (.f64 -1 (.f64 (pow.f64 alpha 3) (+.f64 (.f64 1/6 (/.f64 (.f64 (+.f64 beta 7) (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2))) (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 1 (+.f64 beta 2))) (.f64 1/36 (/.f64 (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))) (+.f64 (.f64 2 (+.f64 beta 5)) (.f64 3 (+.f64 beta 2)))) (+.f64 beta 2))) (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))))))
(fma.f64 -1 (.f64 (.f64 alpha alpha) (fma.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2)) (.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 -1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (.f64 beta 3) 6)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (+.f64 beta 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (.f64 beta 3) 6))))))) (+.f64 (/.f64 1/6 (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 -1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (.f64 beta 3) 6)) (pow.f64 (+.f64 beta 2) 2)))) alpha (neg.f64 (.f64 (pow.f64 alpha 3) (fma.f64 1/6 (/.f64 (+.f64 beta 7) (/.f64 (+.f64 beta 2) (+.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 -1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (.f64 beta 3) 6)) (pow.f64 (+.f64 beta 2) 2)))))) (fma.f64 -1/6 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2)) (.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 -1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (.f64 beta 3) 6)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (+.f64 beta 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (.f64 beta 3) 6)))))) (/.f64 (+.f64 beta 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (.f64 beta 3) 6)))) (/.f64 1/36 (pow.f64 (+.f64 beta 2) 2)))))))))
(-.f64 (-.f64 (fma.f64 (-.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 1/6 (+.f64 beta 2))) (.f64 (pow.f64 alpha 3) (fma.f64 1/6 (.f64 (/.f64 (+.f64 beta 7) (+.f64 beta 2)) (-.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) (pow.f64 (+.f64 beta 2) 2))))) (fma.f64 -1/6 (/.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) (/.f64 (+.f64 beta 2) (fma.f64 1/6 (.f64 (/.f64 (-.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6))) (.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 1/36 (pow.f64 (+.f64 beta 2) 2)))))) (.f64 (.f64 alpha alpha) (fma.f64 1/6 (.f64 (/.f64 (-.f64 (/.f64 1/6 (+.f64 beta 2)) (.f64 1/36 (/.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6))) (.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2))))))
(-.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) -1/36) (pow.f64 (+.f64 beta 2) 2))) alpha (/.f64 1/6 (+.f64 beta 2))) (.f64 alpha (.f64 alpha (fma.f64 1/6 (.f64 (/.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) (+.f64 beta 2)) (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) -1/36) (pow.f64 (+.f64 beta 2) 2)))) (.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2))))))) (.f64 (pow.f64 alpha 3) (fma.f64 1/6 (.f64 (/.f64 (+.f64 beta 7) (+.f64 beta 2)) (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) -1/36) (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 -1/6 (.f64 (/.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) (+.f64 beta 2)) (fma.f64 1/6 (.f64 (/.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) (+.f64 beta 2)) (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (.f64 (fma.f64 2 (+.f64 beta 5) (fma.f64 beta 3 6)) -1/36) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 1/36 (/.f64 (+.f64 beta 7) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 1/36 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha alpha)))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (+.f64 beta 6) (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (-.f64 -6 beta) (pow.f64 alpha 3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 6 (+.f64 (.f64 5 (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 beta 7) (+.f64 beta 6))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 6 (fma.f64 5 (+.f64 beta 2) (neg.f64 (.f64 (+.f64 beta 7) (+.f64 beta 6))))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3)) (/.f64 1 (.f64 alpha alpha))))
(-.f64 (-.f64 (/.f64 1 (.f64 alpha alpha)) (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (/.f64 (-.f64 (+.f64 (.f64 beta 5) 16) (*.f64 (+.f64 beta 7) (+.f64 beta 6))) (pow.f64 alpha 4)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 (-.f64 -6 beta) (pow.f64 alpha 3)) (/.f64 (+.f64 6 (fma.f64 (-.f64 -7 beta) (+.f64 beta 6) (fma.f64 beta 5 10))) (pow.f64 alpha 4))))
(+.f64 (.f64 -1 (/.f64 (+.f64 6 (+.f64 (.f64 5 (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 beta 7) (+.f64 beta 6))))) (pow.f64 alpha 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 beta 6) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 6 (.f64 5 (+.f64 beta 2))) (+.f64 beta 6))) (+.f64 (.f64 6 (+.f64 beta 2)) (.f64 -1 (.f64 (+.f64 beta 7) (+.f64 6 (+.f64 (.f64 5 (+.f64 beta 2)) (.f64 -1 (*.f64 (+.f64 beta 7) (+.f64 beta 6))))))))) (pow.f64 alpha 5))))))
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(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 4))) (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (.f64 beta beta)) (+.f64 (/.f64 (+.f64 2 alpha) (/.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))))) (/.f64 1 (.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))))
(+.f64 (/.f64 (/.f64 (/.f64 alpha beta) (+.f64 3 alpha)) (+.f64 2 alpha)) (+.f64 (-.f64 (.f64 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3)) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 4)) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))))) (-.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (*.f64 beta beta)))))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (.f64 beta beta)) (+.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (+.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))))) (/.f64 (/.f64 (/.f64 alpha (+.f64 3 alpha)) (+.f64 2 alpha)) beta)))
(/.f64 (+.f64 1 alpha) (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (/.f64 1 (.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (.f64 beta beta)) (/.f64 1 (.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (-.f64 (/.f64 (/.f64 (/.f64 alpha beta) (+.f64 3 alpha)) (+.f64 2 alpha)) (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (*.f64 beta beta))))
(+.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 2 alpha)) (-.f64 (/.f64 (/.f64 (/.f64 alpha (+.f64 3 alpha)) (+.f64 2 alpha)) beta) (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (.f64 beta beta))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 3)) (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (.f64 beta beta)) (+.f64 (/.f64 1 (.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (+.f64 2 alpha) (/.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))))))))
(+.f64 (/.f64 (/.f64 (/.f64 alpha beta) (+.f64 3 alpha)) (+.f64 2 alpha)) (-.f64 (+.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (.f64 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3)) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))))) (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (.f64 beta beta))))
(+.f64 (/.f64 (/.f64 (/.f64 alpha (+.f64 3 alpha)) (+.f64 2 alpha)) beta) (+.f64 (/.f64 (/.f64 1 (.f64 beta (+.f64 3 alpha))) (+.f64 2 alpha)) (.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (*.f64 beta beta)) (+.f64 -1 (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (pow.f64 beta 2))) (+.f64 (/.f64 (.f64 (+.f64 2 alpha) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (pow.f64 beta 4))) (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))))
(+.f64 (/.f64 alpha (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (.f64 beta beta)) (+.f64 (/.f64 (+.f64 2 alpha) (/.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))))) (/.f64 1 (.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))))
(+.f64 (/.f64 (/.f64 (/.f64 alpha beta) (+.f64 3 alpha)) (+.f64 2 alpha)) (+.f64 (-.f64 (.f64 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3)) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))) (.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 4)) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))))) (-.f64 (/.f64 1 (.f64 beta (.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (*.f64 beta beta)))))
(+.f64 (.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (.f64 beta beta)) (+.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (+.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 4) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))))) (/.f64 (/.f64 (/.f64 alpha (+.f64 3 alpha)) (+.f64 2 alpha)) beta)))
1/6
(+.f64 1/6 (*.f64 -5/36 alpha))
(+.f64 1/6 (*.f64 alpha -5/36))
(fma.f64 alpha -5/36 1/6)
(+.f64 1/6 (+.f64 (.f64 19/216 (pow.f64 alpha 2)) (.f64 -5/36 alpha)))
(+.f64 1/6 (fma.f64 19/216 (.f64 alpha alpha) (.f64 alpha -5/36)))
(+.f64 1/6 (fma.f64 alpha -5/36 (.f64 (.f64 alpha alpha) 19/216)))
(+.f64 1/6 (.f64 alpha (+.f64 -5/36 (.f64 19/216 alpha))))
(+.f64 (.f64 -65/1296 (pow.f64 alpha 3)) (+.f64 1/6 (+.f64 (.f64 19/216 (pow.f64 alpha 2)) (*.f64 -5/36 alpha))))
(fma.f64 -65/1296 (pow.f64 alpha 3) (+.f64 1/6 (fma.f64 19/216 (.f64 alpha alpha) (.f64 alpha -5/36))))
(+.f64 (fma.f64 alpha -5/36 (.f64 (.f64 alpha alpha) 19/216)) (fma.f64 (pow.f64 alpha 3) -65/1296 1/6))
(+.f64 (.f64 alpha (+.f64 -5/36 (.f64 19/216 alpha))) (fma.f64 (pow.f64 alpha 3) -65/1296 1/6))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 5 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 5 (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -5 (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 19 (/.f64 1 (pow.f64 alpha 4)))) (.f64 5 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 19 (pow.f64 alpha 4)) (/.f64 5 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 19 (pow.f64 alpha 4)) (/.f64 -5 (pow.f64 alpha 3))))
(+.f64 (/.f64 19 (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -5 (pow.f64 alpha 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 19 (/.f64 1 (pow.f64 alpha 4)))) (+.f64 (.f64 5 (/.f64 1 (pow.f64 alpha 3))) (*.f64 65 (/.f64 1 (pow.f64 alpha 5)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 19 (pow.f64 alpha 4))) (+.f64 (/.f64 5 (pow.f64 alpha 3)) (/.f64 65 (pow.f64 alpha 5))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 19 (pow.f64 alpha 4)) (+.f64 (/.f64 5 (pow.f64 alpha 3)) (/.f64 65 (pow.f64 alpha 5)))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 19 (pow.f64 alpha 4)) (-.f64 (/.f64 -5 (pow.f64 alpha 3)) (/.f64 65 (pow.f64 alpha 5)))))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 5 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 5 (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -5 (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 19 (/.f64 1 (pow.f64 alpha 4)))) (.f64 5 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 19 (pow.f64 alpha 4)) (/.f64 5 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 19 (pow.f64 alpha 4)) (/.f64 -5 (pow.f64 alpha 3))))
(+.f64 (/.f64 19 (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -5 (pow.f64 alpha 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (.f64 19 (/.f64 1 (pow.f64 alpha 4)))) (+.f64 (.f64 5 (/.f64 1 (pow.f64 alpha 3))) (*.f64 65 (/.f64 1 (pow.f64 alpha 5)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 19 (pow.f64 alpha 4))) (+.f64 (/.f64 5 (pow.f64 alpha 3)) (/.f64 65 (pow.f64 alpha 5))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 19 (pow.f64 alpha 4)) (+.f64 (/.f64 5 (pow.f64 alpha 3)) (/.f64 65 (pow.f64 alpha 5)))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 19 (pow.f64 alpha 4)) (-.f64 (/.f64 -5 (pow.f64 alpha 3)) (/.f64 65 (pow.f64 alpha 5)))))
6
(+.f64 6 (*.f64 5 alpha))
(fma.f64 5 alpha 6)
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (*.f64 5 alpha) (pow.f64 alpha 2))
(fma.f64 5 alpha (*.f64 alpha alpha))
(*.f64 alpha (+.f64 alpha 5))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (*.f64 5 alpha) (pow.f64 alpha 2))
(fma.f64 5 alpha (*.f64 alpha alpha))
(*.f64 alpha (+.f64 alpha 5))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(+.f64 6 (*.f64 alpha (+.f64 alpha 5)))

eval752.0ms (5.4%)

Compiler: Compiled 28737 to 21181 computations (26.3% saved)

prune132.0ms (0.9%)

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	791	6	797
Fresh	3	17	20
Picked	1	0	1
Done	2	6	8
Total	797	29	826

Error

Counts

826 → 29

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
✓	37.2b	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
	22.5b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
	26.9b	(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
	42.3b	(/.f64 alpha (*.f64 beta beta))
	35.1b	(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (.f64 -5/36 alpha)))
✓	27.1b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) beta)
	27.7b	(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
✓	61.6b	(/.f64 -1 beta)
	36.1b	(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
	9.3b	(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	27.2b	(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha)) beta)
	27.7b	(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
✓	0.1b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
	28.6b	(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
	31.2b	(/.f64 1 (*.f64 beta (+.f64 beta 2)))
	31.7b	(/.f64 1 (*.f64 beta beta))
	36.6b	(/.f64 (+.f64 beta (.f64 beta alpha)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
	37.3b	(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 beta (*.f64 beta (+.f64 beta 2))))
	31.6b	(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
	60.0b	(/.f64 1/2 beta)
	4.6b	(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
✓	29.3b	(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
	28.7b	(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
	32.3b	(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
	28.2b	(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) beta))
	40.9b	(/.f64 (/.f64 alpha beta) beta)
	34.7b	(/.f64 1/6 (+.f64 beta 2))
	0.1b	(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))

Compiler

Compiled 418 to 302 computations (27.8% saved)

regimes116.0ms (0.8%)

Counts

64 → 1

Calls

Call 1

Inputs
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 -1 beta)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 2))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.f64 (+.f64 beta 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 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) beta)
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (.f64 beta (neg.f64 beta))))
(/.f64 (+.f64 1 alpha) (.f64 beta (.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha)) beta)
(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 beta (*.f64 beta (+.f64 beta 2))))
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 beta))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (.f64 -5/36 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) beta))
(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.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 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.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 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 1/2 (.f64 1/4 beta)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.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 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 alpha)))
(/.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 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 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
(.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))))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 1 beta) (+.f64 (.f64 (+.f64 beta 3) (+.f64 beta 2)) (.f64 (+.f64 5 (.f64 2 beta)) alpha))))
(/.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 (.f64 (+.f64 beta 1) 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 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 (neg.f64 (-.f64 -1 alpha)) (/.f64 (-.f64 (-.f64 -1 alpha) (.f64 (+.f64 2 alpha) (-.f64 -1 alpha))) beta)) (+.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 (+.f64 1 alpha) beta) (+.f64 2 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))
(/.f64 (/.f64 (.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (.f64 beta beta))) (+.f64 (/.f64 alpha beta) (/.f64 alpha (.f64 beta beta)))) (.f64 (/.f64 (+.f64 1 alpha) (.f64 beta beta)) (fma.f64 2 alpha 4))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(.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))))

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

Calls

3 calls:

37.0ms

beta

34.0ms

alpha

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))`

Compiler

Compiled 1137 to 752 computations (33.9% saved)

regimes170.0ms (1.2%)

Counts

45 → 2

Calls

Call 1

Inputs
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 -1 beta)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 2))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.f64 (+.f64 beta 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 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) beta)
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (.f64 beta (neg.f64 beta))))
(/.f64 (+.f64 1 alpha) (.f64 beta (.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha)) beta)
(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 beta (*.f64 beta (+.f64 beta 2))))
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 beta))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (.f64 -5/36 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) beta))
(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.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 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
(.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 (+.f64 1 beta) (.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 (+.f64 3 alpha) beta))))
(/.f64 (+.f64 beta 1) (.f64 (+.f64 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.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 beta (+.f64 alpha 2)) (.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (+.f64 alpha beta) 3))))
(/.f64 (/.f64 (+.f64 1/2 (.f64 1/4 beta)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.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 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 beta 3))

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

Calls

2 calls:

78.0ms	alpha
76.0ms	beta

Results

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

Compiler

Compiled 572 to 376 computations (34.3% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	11588.021311753486	10787629339.748505

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes203.0ms (1.5%)

Counts

37 → 2

Calls

Call 1

Inputs
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 -1 beta)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 1 beta) (+.f64 beta 2))
(/.f64 1 (*.f64 beta (+.f64 beta 2)))
(/.f64 (+.f64 beta 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 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 (/.f64 -1 beta) beta))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) beta)
(/.f64 (+.f64 beta 1) (.f64 beta (.f64 beta (+.f64 beta 2))))
(.f64 (+.f64 (neg.f64 alpha) -1) (/.f64 1 (.f64 beta (neg.f64 beta))))
(/.f64 (+.f64 1 alpha) (.f64 beta (.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 1 alpha)) beta)
(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 beta (*.f64 beta (+.f64 beta 2))))
(/.f64 (/.f64 1 beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (-.f64 1 (/.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 beta))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (.f64 -5/36 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) beta))
(/.f64 (.f64 (+.f64 1 alpha) beta) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.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 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 4 (*.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 beta beta)))
(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 alpha alpha)))
(.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (/.f64 1 (.f64 (+.f64 2 alpha) (+.f64 3 alpha))))

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

Calls

2 calls:

111.0ms	alpha
79.0ms	beta

Results

Error	Segments	Branch
15.2b	4	`alpha`
1.2b	2	`beta`

Compiler

Compiled 402 to 266 computations (33.8% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	0.00048459706752260206	3.2868661106550974

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes160.0ms (1.1%)

Counts

32 → 2

Calls

Call 1

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

Calls

2 calls:

123.0ms	alpha
28.0ms	beta

Results

Error	Segments	Branch
16.2b	4	`alpha`
1.7b	2	`beta`

Compiler

Compiled 315 to 208 computations (34% saved)

bsearch45.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
44.0ms	3.5821380048914895	11588.021311753486

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes139.0ms (1%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

2 calls:

100.0ms	alpha
31.0ms	beta

Results

Error	Segments	Branch
16.2b	4	`alpha`
1.7b	2	`beta`

Compiler

Compiled 285 to 188 computations (34% saved)

bsearch34.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	3.5821380048914895	11588.021311753486

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes140.0ms (1%)

Counts

29 → 2

Calls

Call 1

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

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

Calls

2 calls:

93.0ms	alpha
34.0ms	beta

Results

Error	Segments	Branch
16.3b	4	`alpha`
1.8b	2	`beta`

Compiler

Compiled 270 to 177 computations (34.4% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	3.5821380048914895	11588.021311753486

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes103.0ms (0.7%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

68.0ms	alpha
26.0ms	beta

Results

Error	Segments	Branch
16.3b	4	`alpha`
1.8b	2	`beta`

Compiler

Compiled 225 to 147 computations (34.7% saved)

bsearch44.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
43.0ms	3.5821380048914895	11588.021311753486

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes78.0ms (0.6%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

54.0ms	alpha
19.0ms	beta

Results

Error	Segments	Branch
16.4b	4	`alpha`
1.8b	2	`beta`

Compiler

Compiled 116 to 73 computations (37.1% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	3.5821380048914895	11588.021311753486

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes43.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	alpha
16.0ms	beta

Results

Error	Segments	Branch
17.4b	5	`alpha`
4.6b	3	`beta`

Compiler

Compiled 37 to 22 computations (40.5% saved)

bsearch109.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
76.0ms	7.311727508928696e+152	2.4091904017971284e+155
32.0ms	3.5821380048914895	11588.021311753486

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes78.0ms (0.6%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

61.0ms	beta
13.0ms	alpha

Results

Error	Segments	Branch
24.3b	2	`alpha`
14.8b	2	`beta`

Compiler

Compiled 32 to 20 computations (37.5% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	6.078625124543527e+19	2.2363710729551082e+20

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes56.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

40.0ms	beta
14.0ms	alpha

Results

Error	Segments	Branch
25.5b	2	`alpha`
16.1b	2	`beta`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	6.078625124543527e+19	2.2363710729551082e+20

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 -1 beta)
(/.f64 1/6 (+.f64 beta 2))

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

Calls

2 calls:

5.0ms	beta
4.0ms	alpha

Results

Error	Segments	Branch
34.7b	1	`alpha`
34.7b	1	`beta`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -1.7b remaining (-2.9%)

Threshold costs -1.7b (-2.9%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 1/2 beta)

Calls

2 calls:

5.0ms	alpha
4.0ms	beta

Results

Error	Segments	Branch
60.0b	1	`alpha`
60.0b	1	`beta`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
3×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	408
1	97	408

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
(if (<=.f64 beta 6370582087594527/549755813888) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(if (<=.f64 beta 8939238083459587/18446744073709551616) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(if (<=.f64 beta 4033128846004751/1125899906842624) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)))
(if (<=.f64 beta 4033128846004751/1125899906842624) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) beta))
(if (<=.f64 beta 4033128846004751/1125899906842624) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (.f64 -5/36 alpha))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) beta))
(if (<=.f64 beta 4033128846004751/1125899906842624) (/.f64 1/6 (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) beta))
(if (<=.f64 beta 4033128846004751/1125899906842624) (/.f64 1/6 (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4033128846004751/1125899906842624) (/.f64 1/6 (+.f64 beta 2)) (if (<=.f64 beta 731172750892869570950037166958086809815487329235641899620676590678389924725358516190194512769259935814512296129544282090046637575756415283330852705009664) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 60786251245435273216) (/.f64 1/6 (+.f64 beta 2)) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 beta 60786251245435273216) (/.f64 1/6 (+.f64 beta 2)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/2 beta)

Outputs
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 3)))))
(if (<=.f64 beta 6370582087594527/549755813888) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(if (<=.f64 beta 6370582087594527/549755813888) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 3)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 4 (*.f64 alpha 2)))))
(if (<=.f64 beta 8939238083459587/18446744073709551616) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 4 (.f64 2 alpha)))))
(if (<=.f64 beta 8939238083459587/18446744073709551616) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 1 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 4 (*.f64 alpha 2)))))
(if (<=.f64 beta 4033128846004751/1125899906842624) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1)))
(if (<=.f64 beta 4033128846004751/1125899906842624) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 1 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(if (<=.f64 beta 4033128846004751/1125899906842624) (/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) beta))
(if (<=.f64 beta 4033128846004751/1125899906842624) (/.f64 (/.f64 1/2 (+.f64 alpha 2)) (+.f64 1 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) beta))
(if (<=.f64 beta 4033128846004751/1125899906842624) (.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 2 beta))) (+.f64 1/6 (.f64 -5/36 alpha))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) beta))
(if (<=.f64 beta 4033128846004751/1125899906842624) (.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 1/6 (.f64 alpha -5/36))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) beta))
(if (<=.f64 beta 4033128846004751/1125899906842624) (/.f64 1/6 (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) beta))
(if (<=.f64 beta 4033128846004751/1125899906842624) (/.f64 1/6 (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4033128846004751/1125899906842624) (/.f64 1/6 (+.f64 beta 2)) (if (<=.f64 beta 731172750892869570950037166958086809815487329235641899620676590678389924725358516190194512769259935814512296129544282090046637575756415283330852705009664) (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 60786251245435273216) (/.f64 1/6 (+.f64 beta 2)) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 beta 60786251245435273216) (/.f64 1/6 (+.f64 beta 2)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/2 beta)

Compiler

Compiled 306 to 221 computations (27.8% saved)

soundness262.0ms (1.9%)

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)

end205.0ms (1.5%)

Compiler: Compiled 336 to 229 computations (31.8% saved)